Answer:
Step-by-step explanation:
a) correct
b) incorrect, its actually approximately 94cm^3
c) correct
d) correct
e) incorrect, its actually around 188cm^3
i tried, i hope this works :)
change the mixed fraction 6 5/8 to a percent
It can change be 6 5/8 as a percentage is 662.5%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
To change a mixed fraction to a percent, you first need to convert the fractional part (in this case, 5/8) to a decimal. To do this, divide the numerator (5) by the denominator (8). In this case, 5/8 simplifies to 0.625.
Next, add the whole number (6) to the decimal from step 1 (0.625) to get 6.625.
Finally, multiply this sum by 100 and add the percent sign %, so 6.625 * 100 = 662.5%
So, 6 5/8 as a percent is 662.5%.
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Three pizzas are being split amongst friends. Everyone will get 1/4 of a pizza. How many friends can eat pizza?
Answer:
12 friends can eat pizza
Step-by-step explanation:
if there are 4 slices in each pizza and there are 3 pizzas and 1 slice per person then 12 people will get 1 slice
4x3=12
Solve the inequality for x.
4 − 4x < 16
x < −3
x > −3
x > 3
x < 3
Answer:
x > -3
Step-by-step explanation:
4 - 4x < 16
- 4x < 16 - 4
- 4x < 12 (note that both can be divided by -4)
x > -3
That's the final answer.
AND if you're co fused about why the sign changed, you should always remember this
• ALWAYS change the inequality sign when you divide (÷) or multiply (×) by a negative numberBy negative num I mean any number that starts with a minus for example -2, -3, -5, -100
The thickness (in millimeters) of the coating applied to hard drives is one characteristic that determines the usefulness of the product. When no unusual circumstances are present, the thickness has a normal distribution with a mean of 2 mm and a standard deviation of 0.04 mm. Suppose that the process will be monitored by selecting a random sample of 25 drives from each shift's production and determining the mean coating thickness for the sample.
A. Describe the sampling distribution of for a random sample of size 25.
The distribution of x is normal with mean 2 mm and standard deviation (Need to find standard Deviation) mm.
B.
When no unusual circumstances are present, we expect x to be within 3 x of 2 mm, the desired value. An x value farther from 2 mm than 3 x is interpreted as an indication of a problem that needs attention. Calculate 2 ± 3 x.
2 − 3 x = mm
2 + 3 x = mm
C.
Referring to part (b), what is the probability that a sample mean will be outside
2 ± 3 x just by chance (that is, when there are no unusual circumstances)? (Round your answer to four decimal places.)
A. The distribution of x is normal with mean 2 mm and standard deviation 0.008 mm.
B. The bounds are given as follows:
Lower bound: 1.976 mm.Upper bound: 2.024 mm.C. The probability that the sample mean is outside the interval 2 ± 3 x is given as follows: 0.003 = 0.3%.
How to obtain the probability using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The mean and the standard deviation for the population are given as follows:
[tex]\mu = 2, \sigma = 0.04[/tex]
Hence, for a sample of 25, the standard error is given as follows:
s = 0.04 / square root(25) = 0.008 mm.
The interval for item b is within three standard errors of the mean, hence:
2 − 3 x = 2 - 3 x 0.008 mm = 1.976 mm.2 + 3 x = 2 + 3 x 0.008 mm = 2.024 mm.The Empirical Rule states that 99.7% of the measures are within three standard errors of the mean, hence the probability that the sample mean is outside the interval 2 ± 3 x is given as follows: 0.003 = 0.3%.
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select the solution of the inequality y>-3x+2
The shaded region shows the possible set of solutions.
What is inequality? Differentiate between equation and expression?inequality : An inequality is used to make unequal comparisons between two expressions or numbers.
expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
equation : A mathematical equation is used to equate two expressions.
Given is the inequality as -
y > -3x + 2
The inequality is -
y > -3x + 2
Refer to the graph attached. It shows the possible set of solutions under the shaded region.
Therefore, the shaded region shows the possible set of solutions.
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I’ll give brainiest need a answer asap
Use the given information to find
m∠A.
m∠D=121°
m∠A= (2x)°
m∠B=(x+40)°
M
Answer:
m∠A = 38/3
Step-by-step explanation:
Sum of 3 angles of a triangle = 180°
m∠D + m∠A + m∠B = 180°
Substituting values given for each angle
121 + 2x + (x + 40) = 180
121 + 3x + 40 = 180
3x + 161 = 180
3x = 180-161 = 19
x = 19/3
m∠A = 2x = 38/3
can anyone help me to solve this question?
The numeric value of the expression in this problem is given as follows:
44.2.
How to obtain the numeric value of the expression?The expression for this problem is defined as follows:
[tex]\pi \left(\frac{1}{\sqrt{2} - 1}\right)^2(\sqrt{2}+1)[/tex]
The first step is applying the square, which has higher precedence over multiplication.
For the square of a fraction, the square is applied to both the numerator and the denominator, and then the numerator is divided by the denominator, as follows:
[tex]\left(\frac{1}{\sqrt{2} - 1}\right)^2 = \frac{1^2}{(\sqrt{2}-1)^2} = \frac{1}{0.1716} = 5.83[/tex]
Then we have a multiplication of three terms, and the associative property states that the order of the factors do not change the product, hence:
π x 5.83 x (square root(2) + 1) = 44.2.
Which is the numeric value for the expression presented in this problem.
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On his first three tests, Luis had a score of 75,96, and 93. What must he score on the fourth test to have an average score of exactly 90 for all four test
Luis must score 96 the fourth test to have an average score of exactly 90 for all four test.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that Luis had a score of 75,96, and 93.
We have to find the fourth test to have an average score of exactly 90 for all four test
Let the score of fourth test be x.
75+96+93+x/4=90
264+x=360
Subtract 264 on both sides
x=360-264
x=96
Hence, he must score 96 the fourth test to have an average score of exactly 90 for all four test.
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Please Help answer all questions please. 1. Determine if 35:25 and 28:20 are proportional. Follow the steps below.
a. Rewrite the ratio 35:25 in simplest form.
b. Rewrite the ratio 28:20 in simplest form.
c. Are the ratios equivalent? Explain.
d. Are the ratios proportional? Justify your answers
35:20 and 28:20 are equivalent and proportional.
How to illustrate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
In this case, 35:25 will be:
= 35 / 25
= 7 / 5
= 7:5
28:20 will be:
= 28 / 20
= 7/5
= 7:5
Therefore, they are equivalent and proportional.
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Which of the following is an equivalent form of the function f above in which the mininum value of f
appears as a constant or coefficient?
A) f(x) = x2-24
B) f(x) = x2+2x-24
C) f(x) = (x-1)2 -24
D) f(x) = (x-1)2 -25
Based on the function, an equivalent form of the function f above in which the minimum value of f appears as a constant or coefficient is f(x) = (x+1)^2 -25. (Option D)
The function is f(x) = (x + 6)(x – 4). Solving the function
f(x) = (x + 6)(x – 4)
= x (x – 4) + 6(x – 4)
= x^2 – 4x + 6x – 24
= x^2 + 2x – 24
= x^2 + 2x + 1– 25
= (x + 1)^2 – 25
When x = -1, the value of f(x) = (-1 + 1)^2 – 25 = -25
Hence, the equation for which the minimum value of f appears as a constant or coefficient is (x + 1)^2 – 25.
Note: The question is incomplete. The complete question probably is f(x) = (x + 6)(x – 4). Which of the following is an equivalent form of the function f above in which the minimum value of f appears as a constant or coefficient? A) f(x) = x^2-24 B) f(x) = x^2+2x-24 C) f(x) = (x-1)^2 -21 D) f(x) = (x+1)^2 -25
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what property is (2•x)•5=2•(x•5)
Answer:
Associative Property
(2•x)•5=2•(x•5)
this equation represents the Associative Property.
hope that helps...
Answer:cDADVFBDGFZDGSHHDBHDG
Step-by-step explanation:
PLEASE HELP ME!!!!!!
Answer:
Step-by-step explanation:
Gallons, 1, 2
Quarts, 4, 8
Pints, 8, 16
Cups, 16, 32
Fluid ounces, 128, 256
Dude, it's conversation rates, you could have just looked up gallons to quarts etc.
y = x²
y - 6x + 5 = 0
The values of the x are, x = 5, x = 1.
What is solving an equation?
The fundamental guidelines and procedures to simplify any algebraic expression are as follows:
By multiplying factors, remove any grouping symbols like brackets and parentheses.
If the terms contain exponents, use the exponent rule to eliminate grouping.
Add or subtract like terms to combine them.
Add the constants together.
Consider, the given equation
y = x² ..(1)
y - 6x + 5 = 0 ..(2)
Replace y = x² in second equation.
x² - 6x + 5 = 0
x² - 5x - x + 5 = 0
x(x - 5) - 1(x - 5) = 0
(x - 5)(x - 1) = 0
⇒ (x - 5) = 0, (x - 1) = 0
x = 5, x = 1
Hence, the values of the x are, x = 5, x = 1.
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Please help with worksheet !!!
Answer:ok sorry if this don't help pls come find me
Step-by-step explanation: In many companies, especially small and medium, where there is a strive to establish any work process, it has been observed that testers are a little puzzled about how to start, progress and finish their testing job in a hurried manner.
The project or test manager always pressurize the test team to complete testing as soon as possible. With this pressure, somebody starts with a great methodical way but cannot complete the testing; somebody tries to be fast by short-cutting it, but cannot achieve quality. So, there is a problem in daily practice.
Simplify one over x raised to the negative eighth power.
A: negative one over x raised to the eighth power
B: one over x raised to the eighth power
C: x−8
D: x8
Answer:
The answer is C x-8
Step-by-step explanation:
one x is just x raised to the negative 8 is -8 so it is x -8
DUE SOON!!! PLEASE HELP!!
Need help with, both questions 3 and 4, been stuck on these for sometime now, and highly confused.
please explain and show how you came about the answers so I can know for next time.
Many thanks!!
questions are pictured below!
When they worked together, they finished the car in 12 minutes, but it took the second person 28 minutes to do it.
what is unitary method ?The unit technique is a strategy for addressing issues that entails first figuring out the value of a single unit, then multiplying that value to figure out the needed value. Simply put, the unit technique is used to extract a single unit value from a multiple that is supplied. This procedure could follow a regular procedure. a single nation. anything has a distinct identity.
given
A standard shared labor equation can be employed because time varies inversely with the number of persons (i.e., the more people, the less time).
Let the finished task equal 1 and let a = the amount of time needed by the other person alone.
Each person will contribute a portion of the work, and the two fractions together equal one.
When the denominators are removed by multiplying through by 21a,
the answer is 12a + 21(12) = 21a 252
= 21a - 12a 252 = 9a a = 252/9 a
When they worked together, they finished the car in 12 minutes, but it took the second person 28 minutes to do it.
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Bode's litttle brother, Decker, can pick up objects that are 1/5 of the weight of the objects that Bode can pick up. Complete the table representing the weight of the objects Decker can pick up.
The complete table showing the weight of Decker's object in pounds is;
Weight of Bode's object Weight of Decker's object
20 5
30 6
60 12
How to solve fraction problems?We are told that Decker, can pick up objects that are 1/5 of the weight of the objects that Bode can pick up.
Thus;
If weight of Bode's object in pounds is 20 pounds, then the weight of Decker's object in pounds = 1/5 * 20 = 5 pounds
Similarly;
If weight of Bode's object in pounds is 30 pounds, then the weight of Decker's object in pounds = 1/5 * 30 = 6 pounds
Likewise;
If weight of Bode's object in pounds is 60 pounds, then the weight of Decker's object in pounds = 1/5 * 60 = 12 pounds
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Abby Baked 124 cookies. While they were cooling she stepped outside. She saw a group of children run into the kitchen and run back with cookies in his hands. When she returned to the kitchen she found only 7 cookies left on the cooling racks. If each child took the same number of cookies and the number of children who took cookies was more than 10 and fewer than 30, how many were in the group?
The number of children in the group based on the information is 13.
How to calculate the number?Total number of cookies Abby baked = 124
Number of cookies remaining after children left the kitchen = 7
Number of cookies taken by the group of children = 124 - 7 = 117
Given that 117 cookies were equally shared by the children.
Let the number of children be x.
Number of children was more than 10 and less than 30
10 < x < 30
x will always be an integer.
Let a number of cookies each child took be c.
The prime factorization of 117 is 3*3*13.
As 117 = x * c
117, when written as the product of 2 numbers, that is x*c form, will be as given below:
1*117, 3*39, 9*13, 13*9, 39*3, 117*1
Given that 10 < x < 30. Therefore, we can only take 13 * 9 as the required x * c form.
x = 13 and c = 9
Number of children in the group is 13.
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10) After hearing that the children were dreaming of sugar plums in "The Night
Before Christmas," Cindy Lou wonders just how much time the kids were dreaming
during their slumber. If the children were asleep from 7.5 to 10 hours, and 25% of
their sleep includes dreams, how much time was spent dreaming of sugar plums?
Write a compound inequality for this situation and solve. Show your answer on a
graph too
Answer:
First, let's find the total amount of time the children spent asleep: 10 hours - 7.5 hours = <<10-7.5=2.5>>2.5 hours
Then, let's find the amount of time the children spent dreaming by multiplying the total amount of time they spent asleep by 25%: 2.5 hours * 25% = <<2.525.01=.625>>.625 hours
We can represent this situation with the compound inequality: .625 hours <= x <= 2.5 hours
To graph this inequality, we can plot a point at 2.5 on the number line and shade in the region to the left of it. Then, we can plot a point at .625 on the number line and shade in the region to the right of it. The solution to the inequality is the region where both shaded regions overlap.
[asy]
unitsize(1 cm);
draw((-2,0)--(4,0));
draw((0,-1)--(0,1));
draw((-.2,0)--(0,.2)--(.2,0)--(0,-.2)--cycle);
draw((2.5,-1)--(2.5,1),dashed);
draw((.625,-1)--(.625,1),dashed);
label("$x$",(4,0),SE);
fill((-2,0)--(-2,1)--(2.5,1)--(2.5,0)--cycle,gray(.7));
fill((2.5,0)--(2.5,1)--(4,1)--(4,0)--cycle,gray(.7));
[/asy]
Step-by-step explanation:
Option # 2
Predicting when Old Faithful will spurt next can be done by timing the previous eruption.
If an eruption lasts t minutes, the next eruption will occur in approximately 12.5t + 33 minutes.
If a 4-minute eruption begins at 11:32 a.m., at what time would you expect the next eruption to occur? HINT: Think about what time the eruption that begins at 11:32 would end.
Make sure you include your work to demonstrate how you found your answer!
Predicting when Old Faithful will spurt next can be done by timing the previous eruption. the next eruption is expected to occur at 12:59. p.m
What is an eruption?Generally, The eruption that begins at 11:32 a.m. will end at 11:36 a.m.
So, the next eruption will occur approximately 12.5t + 33 minutes after 11:36 a.m., which is 12.5 * 4 + 33 minutes after 11:36 a.m., or 83 minutes after 11:36 a.m.
Therefore, the next eruption is expected to occur at 12:59. p.m. (11:36 a.m. + 57 minutes).
To calculate this, you would first add the minutes (83) to the number of minutes in the starting time (36). This sum, 119, is greater than 60, so you need to carry over 1 hour from the minutes to the hours.
This leaves 19 minutes, which is less than 60, so the result is 12:19. However, you also need to add 1 hour to the starting time to account for the carried over hour, giving you a final result of 12:59.
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Damian earns $14.00 per hour at his job. He also receives a bonus of $30 each week for providing excellent customer service. His paycheck for one week was $240.
Which equation represents this paycheck based on the number of hours worked, h?
- 30h+14=240
- 30(h+14)=240
- 14h+30=240
- 14(h+30)=240
Answer: C 14h + 30 = 240
Step-by-step explanation:
He gets paid 14 dollars an hour at his job, but we do not know how many hours he has worked this week, so we use the variable, h. He also gets a bonus of 30 dollars each week. SO the equation should be 14h + 30= 240. You can also solve for h using this information: First subtract 30 from 240= 210, and then divide that by 14 and you get h= 15
I already know the answer but the worksheet doesn't give an explanation. that is the only thing I need.
======================================================
Explanation:
Let,
x = measure of angle CAP = measure of angle PABy = measure of angle CBP = measure of angle PBAThese equations are valid because segment AP bisects the angle CAB, i.e. it splits it into two equal pieces. Similarly, segment BP bisects angle ABC.
Then we can say,
x+x = 2x = measure of angle CABy+y = 2y = measure of angle CBALet's focus on triangle CAB. The three interior angles add to 180 degrees. This is true of any triangle.
(angleCAB)+(angleCBA)+(angleACB) = 180
(2x) + (2y) + (44) = 180
2x+2y+44 = 180
2(x+y+22) = 180
x+y+22 = 180/2
x+y+22 = 90
x+y = 90-22
x+y = 68
Normally we would try to isolate one variable, but I'll stop here. We'll use this later in the next section.
--------------------
Now focus your attention on triangle PAB.
The three interior angles add to 180.
(anglePAB)+(angleABP)+(angleAPB) = 180
(x)+(y)+(z) = 180
x+y+z = 180
(x+y)+z = 180
68+z = 180 .... replace "x+y" with 68
z = 180-68
z = 112 degrees is the measure of angle APB.
Dave drives 55 miles per hour on the freeway when he goes to work. Which equation modes the relationship between the time Dave drives, x, and the distance he drives, y?
y = 55x
y = -55x
y = -1/55 x
y = 1/55 x
Using the concept of proportionality to find the linear function, we can model it as y = 1/55 x
What is Linear FunctionA mathematical function known as a linear function, when plotted, describes a straight line. It has the mathematical formula f(x) = mx + c, where m denotes the line's slope and c its y-intercept.
In this problem, we can represent the relationship between the number of miles Dave drives and the time he uses to cover that distance.
Since the number of miles he drove is given as y and the time he takes as x, we can represent this in a proportional relationship such that the proportionality constant will be used.
y = kx
k = constant of proportionality55 miles = 1 hour
1 mile = x
x = 1 /55
This can be used as
y = 1/55 x
Where x is the time it takes to cover that distance
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pls help with geometry (see picture)
The line QS represents nothing from the given options, option D is correct.
What is a triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Given a ΔTQR
a line from Q intersects at TR at point S and divides angle Q to 30° and 34°,
The line QS is not a median, because a median divides the side into two equal halves, and the figure does not show that ST is equal to SR.
The line QS is not an attitude because the figure has not specified the angle of S in line TR, if given that the ∠QSR = ∠QST = 90° then QS will be called altitude.
The line QS is also not an angle bisector because an angle bisector divides the angle into two equal parts but the given angles are not equal.
Hence option D is correct.
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Determine the sales of ice cream when the temperature is 20 degrees.
At 0 degree celsius of temperature, Sales will be $-159.474 which is meaningless to interpret.
what is slope ?The slope-intercept form of an equation is used to represent each time the equation of a line is stated as y = mx + b. The line's slope is represented by the m. A straight line's slope is a measure of how steep it is. The gradient is another name for it. The slope equations. The ratio of a line's "change in y" to its "change in x" is known as the slope. You can get the slope of a line by dividing the distance between two points (x1,y1) and (x2,y2) by the distance between the two locations.
From the given information,
By using calculator,
A. Putting Temperature=20 in the given regression equation,
Predicted sales= 442.284
B. Slope=$ 30.0879
If temperature increases by 1 degree celsius then Sales increases by $30.0879, on average.
C. y-intercept= -159.474
At 0 degree celsius of temperature, Sales will be $-159.474 which is meaningless to interpret.
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Karima made `9` pairs of earrings in `6` hours. How long will it take Karima to make `12` pairs of earrings?
Answer:
8 hours
Step-by-step explanation:
9 pair of earrings in 6 hours
=> 9 : 6 = 1,5 pair of earrings in 1 hour
12 : 1,5 = 8 hours
Karima can make 12 pair of earrings in 8 hours.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given that, Karima made 9 pairs of earrings in 6 hours.
Let the number of hours it took to make 12 pair of earrings be x.
Now, the proportion is
9/6 =12/x
9x=72
x=8
Therefore, Karima can make 12 pair of earrings in 8 hours.
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Rewrite the following equation in slope-intercept form.
y + 9 = 1/6 (x+6)
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = -2/3x - 18
Step-by-step explanation:
The equation can be rewritten in slope-intercept form by subtracting 9 from each side (to isolate y) and then multiplying both sides by 6/1 to clear the fraction. This gives us: y = -2/3x - 18, which is written in simplest form, using integers, proper fractions, and improper fractions. Hope this helps!
Question 9 (1 point)
What is the cost of leaving on your 150 watt LCD TV while you go for
a 45 minute walk outside (at a cost of 16 cents per kilowatt hour)?
1.8 cents
21 cènts
542 cents
57-cent
HELP PLEASE GIVING BRIANLESS
Black and very dark greys are difficult for LCDs to produce. They consequently typically have lower contrast than CRTs and have less colour saturation for low intensity hues.
How many watts does a LCD TV use per hour?The majority of TVs on the market range in wattage from 80 to 400. This figure is determined by the TV's size (32 inches, 44 inches, 56 inches, etc.) and kind (CRT, LCD, LED, QLED, Plasma and so on).Multiply the appliance's power rating (watts) by the number of hours it is used for, then divide the result by 1000 to get the kWh for that particular item.No, flat-screen TVs normally do not consume a lot of electricity. Compared to other appliances and devices, they only use a modest amount of energy. Your heating and cooling systems consume a vastly greater amount of electricity than your television. In low-light and dark settings, not recommended for use.To learn more about typically refer to:
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Sort the cards to list all the Properties of Parallelograms.
These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.
What exactly is circumcenter?the triangle's circle's center. It is the point where the "perpendicular bisectors," or lines parallel to the centre of both sides, cross.
The intersection of any two perpendicular bisectors of any two triangle sides is known as the circumcenter of a triangle ABC.
The equation y=1 is the perpendicular bisector of sides B(3,0) and C(3,2). Because AB's midpoint is at 3,1 and its slope is unknown. The perpendicular bisector has zero slope. The equation for such a line is y=y1.
The equation for the perpendicular bisector of A(0,0) and B is also x=1.5 (3,0). The reason is that AB has a midpoint of zero slope and (1.5,0). The perpendicular bisector's slope won't be clearly defined. The equation for such a line is x=x1.
These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.
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45of the members of the basketball team are 6 feet or taller. 18of those members are 614feet or taller. What part of the basketball team is 614feet or taller?
The fraction of the basketball team that are 6.14 feet is 2/5 of the 45 members
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
The number of members that are six feet tall or taller is 45
The number of members that 6.14 feet tall or taller is 18.
From the member of 6 feet tall or taller, the fraction of member that are 6.14 feet tall or taller is 18/45 = 6/15 = 2/5.
therefore 2/5 of the 6 ft tall or taller members are 6.14 feet tall or taller.
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