Answer:
48 push ups
Step-by-step explanation:
40 push ups in 5 days can be modelled with the fraction 40/5
you can simplify that to 8/1 after dividing both sides by 5
now set that equal to push ups over 6
but first you must declare a variable for push ups
let x = push ups
8/1 = x/6
multiply both sides by 6
48/1 = x
x = 48
that is your answer
48 push ups
To know how many reflections are made per day, a division is made between the days and the total number of reflections.
40 Flexions ➗ 5 days = 8 flexions a day.
Every day it has 8 flexions, in multiply the 6 days for the 8 flexions of each, then.
8 flexions (1 day) ✖ 6 days = 48 flexions.
Answer: 48 flexions = 6 days ✅.
5/3x+1/3x=11 1/3+8/3x
Answer:
-111/2
Step-by-step explanation:
Please look at the attachment below! :D
Which line is perpendicular to a line that has a slope
of 1?
Oline MN
Oline AB
Oline EF
Oline JK
JK is perpendicular to a line that has a slope
What is Slope?
The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).
Two lines, L1 and L2, with slopes m1 and m2 are perpendicular if
m1 x m2 = -1.
In our case m1 = 1
1 x m2 = -1
m2 = -2
so the slope of the perpendicular line is -2.
( -2 x (1) = -1).
As x increases, the line with a slope of -2 increases. Line JK is the only line displayed that fits this. Line AB cannot be the solution because it is "falling" as x grows.
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A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for and hour the shop owner has used 91 combined ounces of meat and cheese. How many ounces of meat were used?
The number of ounces of meat were used is 52 ounces.
Given that, a sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
There are 7 ounces of combined meat and cheese in each sandwich (4+3 =7)
Number of sandwiches can make with 91 ounce of meat and cheese
= 91/7
= 13 sandwiches
Number of ounces of meat = 13 × 4 = 52 ounces
Number of ounces of cheese = 13 × 3 = 39 ounces
Therefore, the number of ounces of meat were used is 52 ounces.
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Elisa gets a tax free allowance of $6000 and pays tax at 25% on the next $20 000. She pays tax at a rate of 30% on the rest. If she earns $72000 per year, how much tax must she pay?
Please help last question and super confused!! ASAP
Given the function:
h(x) = -2/3x+4/5
Find the following values
A) h(3)
B) h(4)
C) h(-1/2)
suppose that the lifetime of a transistor is a gamma random variable x with mean of 24 weeks and standard deviation of 12 weeks. what is the probability that the transistor will last between 12 and 24 weeks?
The probability that the transistor will last between 12 and 24 weeks is 0.424
X= lifetime of the transistor in weeks E(X)= 24 weeks
O,= 12 weeks
The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.
X~gamma([tex]\alpha ,\beta[/tex])
E(X)= [tex]\alpha \beta[/tex] [tex]\beta[/tex]= [tex]12^{2}/24[/tex]=6 weeks
V(x)= [tex]\alpha \beta ^{2}[/tex] [tex]\alpha[/tex]=24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X, [tex]\alpha[/tex], [tex]\beta[/tex], False)
P([tex]12\leq X\leq 24[/tex])
P([tex]12/6\leq G\leq 24/6[/tex])
P([tex]2\leq G\leq 4[/tex])
P= 0.424
Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424
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Answer:
Step-by-step explanation:
0.424 is the probability that the transistor will last between 12 and 24 weeks.
X= lifetime of the transistor in weeks E(X)= 24 weeks
Standard deviation= 12 weeks
Finding the parameters alpha and beta X~gamma(αβ)
E(X)= αβ β =6 weeks
V(x)=αβ^2 α =24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X,α,β,False)
P(12≤X≤24)
P(12/6≤G≤24/6)
P= 0.424
Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424
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Renting a roller rink for your birthday costs $300 plus $9 per person. The total charge for your party was $534. Translate this information into an equation using x to represent the number of guests at your party.
The equation using x to represent the number of guests at your party is 300 + 9x = 534
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let x represent the number of guests at your party.
Here, renting a roller rink for your birthday costs $300 plus $9 per person. This will be:
300 + 9x = 534
Collect like terms
9x = 534 - 300
9x = 234
Divide
x = 234 / 9
x = 26
The number of guest is 26.
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24PS-10 Question Help In a certain chemical, the ratio of zinc to copper is 3 to 14. A jar of the chemical contains 294 grams of copper. How many grams of zinc does it contain?
the ratio of zinc to copper is 3 to 14, that menas that for each 3 grams of zinc there are 14 grams of copper, so we can made a rule of three to find
the shape of the density curve for a dataset is like a triangle. that is, as we move to the left of the horizontal axis, it starts from zero height, then rises linearly until some peak, then declines linearly until reaches zero, then stays zero from there onward. if we standardize this dataset by calculating the standard scores, what is the geometrical shape of the density curve for the standardized dataset?
It will be similar to the original triangle.
The shape of the density curve for a dataset is like a triangle, that is, as we move to the left of the horizontal axis, it starts from zero height, then rises linearly until some peak, then declines linearly until reaches zero, then stays zero from there onward. If we standardize the dataset by calculating the standard scores, the geometrical shape of the density curve will more or less be the same. i.e., similar to the original triangle. Scale of it will be just changed.
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the d score is a standardized measure of the degree to which the independent variable caused a change in the dependent variable. this is also known as the
The standardized measure of the degree to which the independent variable caused a change in the dependent variable is a standard change.
What is a dependent variable?A dependent variable is what is determined in an experiment or test and is the one that is influenced throughout the experiment. The dependent variable is affected by the independent variable.
In mathematical modeling, statistical modeling, and experimental sciences, dependent and independent variables are variables. Dependent variables are so named because their values are explored in an experiment under the assumption or requirement that they are dependent, by some law or rule, on the values of other variables.
In conclusion, the standard change illustrates the change.
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ASAP please Hurry
The number of issues of books from a library are given for the years 2001–2011. The numbers are in hundreds of thousands.
Answer:
See attached graph.
Step-by-step explanation:
Use DESMOS graphing software. Free.
i-Ready
Dilations and Similarity -
-
Figure LMNO is dilated to form figure L'M'NO'.
Where is the center of dilation located?
on a vertex of figure LMNO
What is the scale factor of the dilation?
pls help quickly;;;
The location of the center of dilation in the figure and the image formed following the dilation is the point N
The scale factor of the dilation is 0.5
What is a dilation transformation?A dilation transformation resizes an object such that the lengths of the sides of the image (the object formed) following the dilation of the original image has sides that are a constant multiple of the side lengths of the original object.
The center of dilation is a reference and fixed point, such that the center of is in the same location relative to the preimage and the image.
The location or point shared by both the figure LMNO and the image of LMNO formed following the dilation, which is figure L'M'N'O' is the point N.
Therefore;
The center of dilation is the point NThe scale factor of the dilation is found using the definition of a scale factor, which is the ratio of the scale of a new figure to the scale of an original figure, therefore:
[tex]The \ scale \ factor,\, s.f. = \mathrm{\dfrac{Length \ of \ the \ sides \ of \ L'M'N'O'}{Length \ of \ the \ sides \ of \ LMNO}}[/tex]
MN = 6 units
LO = 6 units
ML = ON = √(6² + 2²) = 2·√(10)
M'N' = L'O' = 3 units
M'L' = O'N' = √(3² + 1²) = √(10)
Which gives:
[tex]s.f. = \dfrac{M'L'}{ML} =\dfrac{\sqrt{10} }{2 \cdot \sqrt{10} } = \dfrac{1}{2}=0.5[/tex]
The scale factor of the dilation is, s.f. = 0.5
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The value of x =5 is a solution to each of the following except which ?
A 3x+2=4x-3
B (x+2)(x-5)=0
C4x+2=15
D 3x-10=x
Answer:
The answer is C
Step-by-step explanation:
If you substitute every x value for 5, you know that every equation can have 5 as an answer but C.
A. 3x+2=4x-3
Isolate the x(s) and combine like terms
3x+2-2=4x-3-2
3x=4x-5
3x-4x=4x-4x-5
-x=-5
-x(-1)=-5(-1)
x=5
Therefore A is a solution
B. (x+2)(x-5)=0
Substitution--Substitute every x for a 5
(7)(0)=0
anything multiplied by 0 will be 0
B. Is a solution because it is true.
C. 4x+2=15
Isolating the x(s) and combine like terms
4x+2-2=15-2
4x=13
4x÷4=13÷4
x=3.25
C is not a solution because x should equal to 5 but in this equation x can only be equal to 3.25. C is wrong.
We know our answer so we don't have to keep solving the rest of the equations.
But I'll just do D
D. 3x-10=x
Isolate the x(s) and combine like terms
3x-x-10=x-x
2x-10=0
2x=10
2x÷2=10÷2
x=5
D is a solution.
Determine whether each triangle below will form a unique triangle, no triangle or more than one triangle based on the criterion given.
Answer:
A: A unique triangle
B: A unique triangle
C: More than a triangle
a bakery uses 3 3/5 cups of oats to make 2 4/7 pounds of oatmeal cookies how many cups of oats are required per pound of cookies
Answer: 7/5 or 1 2/5
Step-by-step explanation:
Ok so the bakery uses 3 3/5 cups cups of oats for 2 4/7 POUNDS of cookies.
You need to find the unit price.
So to get from 2 4/7 to 1, you need to divide 2 4/7 by 2 4/7
You need to do the same thing to 3 3/5 cups.
3 3/5 as an improper fraction is 18/5
2 4/7 as an improper fraction is 18/7
Now to divide you need to keep, change, and flip
keep the 18/5, change the sign to multiplycation, and flip the 18/7 to 7/18
18/5*7/18=7/5
7/5 or 1 2/5 pounds of outs are required to make 1 pound of oatmeal cookies
If angles of the triangle are In 2:3:7 then find all the angles
Answer:
Since all triangle angles sum to 180 then we can say
2x + 3x + 7x = 180
12x = 180
x = 15
There fore the angles are
2 * 15 3 * 15 and 7 * 15 or
30 45 and 105
Those 3 total 180 degrees
Step-by-step explanation:
the interest rate on a five-year certificate of deposit (cd) for banks in south florida in 2018 was normally distributed with a mean of 2.28 percent and a standard deviation of 0.37 percent. 1. what proportion of these banks had an interest rate less than 2.5 percent?
The proportion of these banks that had an interest rate less than 2.5 percent is 0.724.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
First, solve for the z-score using the formula below.
z-score = (x – μ) / σ
where x = individual data value = 2.5
μ = mean = 2.28
σ = standard deviation = 0.37
z-score = (2.5 - 2.28) / 0.37
z-score = 0.22 / 0.37
z-score = 0.5946
To get the proportion, find the probability that corresponds to the z-score in the z-table. (see attached images)
z-score = 0.5946
By interpolating the values,
probability = 0.724
proportion = 0.724
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i need help with this sorry I cant give much
Answer:
[tex]\frac{11}{20}[/tex]
Step-by-step explanation:
2[tex]\frac{3}{4}[/tex] ÷ 5
Convert mixed number fraction to improper fraction
[tex]\frac{11}{4}[/tex] ÷ 5
To divide fractions we turn the second fraction (the one you want to divide by) upside down (this is now called a reciprocal) and we multiply
[tex]\frac{11}{4}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{11}{20}[/tex]
A deck of cards was shuffled and after each shuffle, the suit of the top card was recorded. The table shows theprobability of each outcome. What is the probability that the top card is not a heart?
Answer:
[tex]0.72[/tex]Explanation:
Here, we want to get the probability that the top card is not a heart card
Mathematically, the sum of the probability that an event will occur and that the event will not occur is 1
Let the event that a heart card is the top card be H
[tex]P(H)\text{ + P(H') = 1}[/tex]We already have P(H) as 0.28
Thus:
[tex]\begin{gathered} 0.28\text{ + P(H') = 1} \\ P(H^{\prime})\text{ = 1-0.28} \\ P(H^{\prime})\text{ = 0.72} \end{gathered}[/tex]PLS HELP!!!
Building an A-frame dog house. Your club has decided to build and sell dog houses for a fundraising project. You found this dog house and set of plans by searching the net.
A customer has offered to pay extra if you will make one half the size called for in the plans. Take each of the 5 measurements shown in the drawing and find half of the measurement. Show your work to get full credit!
The one half of the dimensions of the frame dog house is obtained.
What is termed as the mixed fractions?A mixed fraction is a form of fraction that has both a whole number as well as a fractional part. An improper fraction could also be formed from a mixed fraction. To do so, follow the steps outlined below. Step 1: Multiply the mixed fraction's denominator by the whole number part.Step 2: Subtract the numerator from the product obtained in step 1.Step 3: In numerator/denominator form, compose the improper fraction only with sum obtained in step 2.For the given question, the dimensions of the frame dog house are given as;
Gusset plate:Height = 5 ³/₂ inchesBase = 3 ¹/₂ inchesFloor plate = 47 ¹/₄ inches Thickness = 2 inchesSlope = 45 ¹/₄ inchesConvert the following fraction in improper by the above method;
Gusset plate:Height = 13/2 inchesBase = 7/2 inchesFloor plate = 189/4 inches Thickness = 2 inchesSlope = 181/4 inchesNow, customer has offered to pay extra if you will make one half the size called for in the plans.
Multiply each dimension with 1/2.
Gusset plate:Height = 13/2 × 1/2 = 13/4 inchesBase = 7/2 × 1/2 = 7/4 inchesFloor plate = 189/4 × 1/2 = 189/4 inches Thickness = 2× 1/2 = 1 inchSlope = 181/4 × 1/2 = 181/8 inchesThus, the one half of the dimensions of the frame dog house is obtained.
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Tara's office recycled a total of 60 kilograms of paper over 3 weeks. How many weeks will it take Tara's office to recycle a total of 80 kilograms of paper? Solve using unit rates.
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PLEASE HELP URGENT HELP PLEASE!!!!!!!!!!!!!!!!
Answer:
[tex]y = \frac{w}{h - 5c^{3}}[/tex]
Step-by-step explanation:
separate y from everything
[tex]w = y(h - 5c^{3})[/tex]
now divide everything by the thing in the parenthesis
[tex]\frac{w}{h - 5c^{3}} = y[/tex]
now flip it
[tex]y = \frac{w}{h - 5c^{3}}[/tex]
that is your answer
What’s the answer plss
Answer: 8.4cm
Step-by-step explanation:
sin cos tan
SOH CAH TOA
It is cos because CAH does not have opposite (o) in it and we want to find the opposite.
O is opposite (opposite angle)
A is adjacent (next to angle)
H is hypotenuse (opposite right angle)
This is how I remember it
Cos(61)*17.4=8.435
8.4cm
Given the image Q’(33, 36) and preimage Q(11, 12), by what scale factor was the point dilated?
22
3
24
1/3
Answer:
22
Step-by-step explanation:
In a class of 25 students, 15 of them have a cat, 16 of them have a dog and 3 of them have neither. Find the probabillity that a student chosen at random has both
9/25
Step-by-step explanation:
students who have either cat or dog =25-3=22
students who have both= 15+16-22= 9
probabillity that a student chosen at random has both= 9/25
Use point-slope form to write the equation of a line that passes through the point (-12,15) with slope −1.
Answer: y = -1x + 3
Step-by-step explanation:
Point-Slope form: y - y1 = m(x-x1)
Replace the form with the values provided:
y - 15 = -1(x+12)
Once you get this, you need to get y by itself in order to get it in slope intercept form.
Distribute:
y -15 = -1x - 12
Add -15 to the right side:
y = -1x + 3
TEST SCORES The average test score in a class is 74%. Half of the class scored within 7 points of the average.
One student received a score of x%. Which shows an expression that could be used to determine how far the student's score is from the average?
A. |74-7|
B. |x|-74
C. |x-74|
D. 74-|7|
It is to be noted that the absolute expression that shows how far the student's score is from the average is given as: "| x - 74| (Option C)
What is the justification for the above result?The student obtained a score of x% based on the question. As a result, x% might be larger or lower than the average score of 74%.
To establish how distant the student's score is from the average, we must subtract the student's score from the average score; i.e. (x - 74)
This difference, however, might be negative: as a result, the absolute value of (x - 78) must be calculated, yielding |x - 74|.
As a result, the phrase that may be used to assess how distant the student's score is from the average is as follows: |x - 74| which is the same as option c - An Absolute expression.
Absolute expressions are or modulus of a real number x, abbreviated |x| in mathematics, is the non-negative value of x regardless of its sign.
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Which of the following best estimates the sum 1 1 2 3 B 0.5 0.8
we have
1/2 +1/3
Remember that
1/2=0.5
1/3=0.33 -----> rounded 0.3
so
0.5+0.3=0.80
Answer: please help
Step-by-step explanation: I don’t know what the answer is I need help
1. Is 26 divisible by 2? (1 point)
ONO
O Yes, because 2 +6=8 and 8 is divisible by 2.
O Yes, because the last digit is 6, which is divisible by 2.
Answer:
Yes, because the last digit is 6, which is divisible by 2.
Step-by-step explanation:
The solution is, Yes, because the last digit is 6, which is divisible by 2.
What is division?Division is the process of splitting a number or an amount into equal parts.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
26 divisible by 2
i.e. 26/2 = 13
so, it is divisible.
now, we know that,
because the last digit is 6, which is divisible by 2.
Hence, The solution is, Yes, because the last digit is 6, which is divisible by 2.
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An empty 16 gallon tank is being filled with gasoline at a rate of 2 gallons per minute. State the Domain and Range using interval notation or set notation
The volume of gasoline in the tank as a function of time can be determined as,
[tex]V=2t[/tex]The time taken to fill the tank can be determined as,
[tex]\begin{gathered} 16=2t \\ t=8 \end{gathered}[/tex]Thus, the requried domain is,
[tex]t\in\lbrack0,8\rbrack[/tex]The range of the function can be determined as,
[tex]V\in\lbrack0,16\rbrack[/tex]Thus, the above expressions gives the required domain and range of the function.
