Answer:
a)91 m
b) 58 m
Step-by-step explanation:
a) length × width = area →
length × 61 = 5551
length = 5551/61 = 91
b) perimeter = 2×( length + width)
292 = 2×( 88 + width) = 176 + 2×width
292 - 176 = 2× width
116 = 2× width → width = 116/2 = 58 m
Convert to a decimal. Be sure to mark repeating decimals.
Answer:
[tex].24\\is\\reapeating\\0.24[/tex]
Step-by-step explanation:
1. A cylindrical metal bar 50cm long and bom in
diameter is pulled out to form a wire of diameter
3 ml.
what's length is the wire .
Answer:
150
Step-by-step explanation:
Multiple 50 by 3 and ur final results
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
= 8; = 6
P(5 ≤ x ≤ 17) =
Using the normal distribution, it is found that P(5 ≤ x ≤ 17) = 0.6247.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, we are given that [tex]\mu = 8, \sigma = 6[/tex].
The probability is the p-value of Z when X = 17 subtracted by the p-value of Z when X = 5, hence:
X = 17:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 8}{6}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a p-value of 0.9332.
X = 5:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5 - 8}{6}[/tex]
[tex]Z = -0.5[/tex]
[tex]Z = -0.5[/tex] has a p-value of 0.3085.
0.9332 - 0.3085 = 0.6247.
Hence, P(5 ≤ x ≤ 17) = 0.6247.
More can be learned about the normal distribution at https://brainly.com/question/12517818
Can someone help mean pls
Answer:
It's option 'B'
Please mark as brainliest
Bill and Felicia both bake cookies for a party. Bill bakes 3 times as many as Felicia. Felicia bakes 24 fewer cookies than Bill. Bill bakes b cookies and Felicia bakes f cookies. What pair of equations can be used to determine the number of cookies Bill and Felicia bake?
A. b = 3f
f = b - 24
B. b = 3(f + 24)
f = b - 24
C. b = 3f
f = 24 - b
D. f = 3b
b = f - 24
PLEASE HELP ♡
Answer: Below
Step-by-step explanation:
So we start off with b and f. Our first piece of information, Bill baked 3 times as many as Felicia, gives us the equation:
b = 3f
The second piece gives us the equation:
b = f + 24
We have a 3f, but no b = f + 24 in the possible answers. So:
b = f +24
b - 24 = f
Our answer is A.
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
9.4 ( 4 + 12 ) = 145.6
Step-by-step explanation:
i used a calculator
Michael went to the store and bought a new laptop computer for $725, how much would he pay in tax if the tax rate is 3%
Plsss i need help
Answer:
$21.75
Step-by-step explanation:
3% = .03
725 * .03 = 21.75
Diego bought mini muffins for $4.20. If 1mini muffin is $0.35, how many muffins did he buy? Show your reasoning
PLEASE HELP ASAP!!!!!
The measure of angle JKL can be represented using the expression 3x + 5.
Point K has three lines extending from it. One line extends to point J, another to point M, and the other to point L. Angle J K M is 45 degrees. Angle M K L is x degrees.
What is the degree measure of AngleJKL?
°
Step-by-step explanation:
verified please mark me as brainlist pleaseAnswer:
65
Step-by-step explanation:
Pythagorean theory . Thank you
Answer:
b=12, perimeter=36
The ratio of dogs to cats at the
pet store is 2:5. If there are 6 more
cats than dogs, how many dogs are
at the pet store?
The ratio of dogs to cats at the
pet store is 2:5. If there are 6 more
cats than dogs, how many dogs are
at the pet store?
Dogs : 2
Cats : 5
Answer :-1
5 - 2 = 3,
-1, 0, 1, 2, 3, 4, 5
1 - 5 will give us a 6
a. Find the slope of the line that passes through the points (2,-5) and (-2,3).
b. What are the slope and y-intercept of the equation 2x - 5y = -10?
c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4.
d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.
PART A:
Solve for the slope by solving change in y over change in x. We have (3-(-5)/(-2-2) = 8/-4=-2
PART B:
Change in to y=mx+b: -5y = -2x-10. Divide all terms by -5: y = 2/5x + 2. The slope is 2/5 and the y-intercept is 2.
PART C:
Remembering from part a that m=change in y/change in x, we have the equation: -4=1-(-9)/0-x. If we simplify, we have -4=10/0-x. If we multiply both sides from 1/10 we have: -2/5 = -x. So, x = 2/5.
PART D:
We can use point-slope form first:
y-5=-7(x+1). Then we solve the equation! y-5 = -7x-7. After adding 5 to both sides, we have the equation: y=-7x-2.
Please help me with this
Answer:I believe the answer is A
Step-by-step explanation:
please help me with this !!
evaluate f(x) = [x - 12.3] at x = -4.8
thank you so much !!
Answer:Differentiate w.r.t. x. 12.3. 12.3. Tick mark Image. View solution steps ... Worked example: Taylor polynomial of derivative function. Khan Academy.
Step-by-step explanation:
A shopper pays $49.05 for a $45 desk chair after sales tax is added. What is the sales tax percentage?
A sports medicine doctor is interested in comparing the effectiveness of a new sports drink for adult athletes. The doctor randomly assigns a group of 80 adult athletes into 2 equal groups. One group is given the new sports drink, while the other is given a placebo.
Which type of study is the doctor using?
A. Experiment
B. Observational study
C. Survey
The type of study which is sports medicine doctor is using on the adult athletes for the placebo soft drink is experiment.
What is the type of statistical study?Statistical study is used to obtain the data and examine this data in the way, that its effectiveness can be measured.
There are three main types of statistical study-
A. Experiment-In this type of statistical study, the observer or the researcher see the change in the variable of a study with change in other variable experimentally by providing the necessary conditions. B. Observational study-In the observational study of statistics, the value of the variables are recorded for different associates of the set.C. Survey-In the survey type of study, the data is gathered by directly asking the queries to the people regarding the study.It is given that a sports medicine doctor is interested in comparing the effectiveness of a new sports drink for adult athletes.
For this, the doctor randomly assigns a group of 80 adult athletes into 2 equal groups of 40-40 each.
Now, one group is given the new sports drink, while the other is given a placebo.Here, the medicine doctor is directly giving the sport drink to a set of sample.
By this he will, see the effectiveness of the group which are given placebo drink compare to the other group, which are not given this drink.
Thus, type of study which is sports medicine doctor is using on the adult athletes for the placebo soft drink is experiment.
Learn more about the type of statistical study here;
https://brainly.com/question/13171394
Write an equation in slope-intercept form for the following line:
(-17,-4) and (-7,-13)
Linear equations are often organized in slope-intercept form:
[tex]y=mx+b[/tex]
(x,y) = a point that falls on the linem = the slope of the lineb = the y-intercept of the lineSlope (m)The slope of a line is equal to its [tex]\dfrac{rise}{run}[/tex].
"Rise" refers to the number of units the line travels up."Run" refers to the number of units the line travels to the right.Typically, we would solve for the slope by using the following formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]Y-intercept (b)The y-intercept of a line refers to the y-value that occurs when x=0.
On a graph, it is the y-value where the line crosses the y-axis.
Writing the Equation1) Determine the slope of the line (m)
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the two given points, (-17,-4) and (-7,-13):
[tex]m=\dfrac{-13-(-4)}{(-7)-(-17)}\\\\m=\dfrac{-13+4}{-7+17}\\\\m=\dfrac{-9}{10}[/tex]
Therefore, the slope of the line is [tex]-\dfrac{9}{10}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\dfrac{9}{10}x+b[/tex]
2) Determining the y-intercept (b)
[tex]y=-\dfrac{9}{10}x+b[/tex]
Plug in one of the given points and solve for b:
[tex]-4=-\dfrac{9}{10}(-17)+b\\\\-4=\dfrac{153}{10}+b\\\\b=-\dfrac{193}{10}[/tex]
Therefore, the y-intercept of the line is [tex]-\dfrac{193}{10}[/tex]. Plug this back into our equation:
[tex]y=-\dfrac{9}{10}x-\dfrac{193}{10}[/tex]
Answer[tex]y=-\dfrac{9}{10}x-\dfrac{193}{10}[/tex]
15 is what percent of 45?
The percent of what 15 is of 45 is; 33.33%
What is the percentage of the number?
We want to find the percentage of 15 out of 45.
This means that we can express it as;
15/45 * 100%
⇒ 33.33%
Thus, we conclude that the percent of what 15 is of 45 is 33.33%
Read more about percentage at; https://brainly.com/question/843074
Which set of side lengths can form a triangle?
А. 6 cm, 8 cm, and 16 cm
B. 6 cm, 8 cm, and 10 cm
C. 6 cm, 7 cm, and 14 cm
D. 6 cm, 7 cm, and 20 cm
Step-by-step explanation:
6 cm, 8 cm, and 10 cm (B) form a triangle.
The Triangle Inequality Theorem states that the sum of the lesser two sides must be greater than the third.
A rectangle has a length of 25x to the power of 3 and a width of 5x of power of 2. Find the area in square units.
An airplane left Chicago at 9:50 AM Central Time and arrived in Memphis at 11:30 AM Central Time. How long did the flight take
Considering that both Chicago and Memphis are in the same time zone, the flight took one hour and 40 minutes.
What was the length of the flight?It Chicago at 9:50 AM Central Time and arrived in Memphis at 11:30 AM Central Time. Since they are in the same time zone, we don't have to do anything but subtract, then:
11:30 - 9:50
30 < 50, hence we remove one hour from Memphis and add 60 minutes, thus:
10:90 - 9:50 = 1:40
The flight took one hour and 40 minutes.
More can be learned about operations with hours at https://brainly.com/question/25169144
Jack bought 3 slices of pizza and 4 slices f mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of 8.50. What is the cost of one slice of mushroom pizza?
A. $3.00
B. $1.50
C. $2.00
D. $3.50
PLEASE HELP ♡
Answer:
C
Step-by-step explanation:
Let's set up a simultaneously equation to solve for two unknows.
Let x be the cost of cheese pizza
Let y be the cost of mushroom pizza
"Jack bought 3 slices of pizza and 4 slices f mushroom pizza for a total cost of $12.50."
Therefore,
3x + 4y = 12.50 (Equation 1)
"Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of 8.50."
Therefore,
3x + 2y = 8.5 (Equation 2)
From equation 1, let's solve for x in terms of y
3x + 4y = 12.50
3x = 12.50 - 4y
[tex]y = \frac{12.50-4y}{3}[/tex]
Plug in this y value into equation 2, we have:
[tex]3(\frac{12.50-4y}{3}) + 2y = 8.5[/tex]
We will get that y = 2
Hence, option C is the answer.
Solve the system of equations:
x-y=4
4x-7z=24
4y+z=8
Answer:
Solve for x, y, and z. 1st Equation: 2x + 2y + 4z = 48. 2nd Equation: 2x + 9y + 7z = 105. 3rd Equation: x + 4y + z = 37. Subtract the 2nd Equation from the 1st Equation. This will eliminate the variable “x”.
Step-by-step explanation:
A random variable is defined as a process or variable with a numerical outcome. Which of the following are random variables?
i. The amount of rain, in inches, that will fall in New York.
ii. The gender of a randomly drawn student from University of Houston. The number of books purchased next semester for my classes.
a. i only
b. ii only
c. iii only
d. i and iii
e. ii and iii
f. i, ii, and iii
Answer:
1 and 3
Step-by-step explanation:
The amount of rain in inches will be in numbers .So its random variableNo of books purchased is also a numerical .So its a random variable.the complement of 17% is what
Answer:
83%
Step-by-step explanation:
100%-17%=83%
i hope it helps
Hello! I need help with this problem.
3/4 (184+t) =237 what is t?
Answer:
t = -6.25
Step-by-step explanation:
3/4 (184+t) =237
multiply by 3/4
184 + t = 177.75
subtract 184
t = -6.25
what is the height of the tree?
find the product. write your answer in exponential form 8^-9 x 8^4
Answer:
[tex]8^{-5}[/tex]
Step-by-step explanation:
When both terms share the same base, and you are multiplying, you are really adding the variables. Add:
[tex]8^{-9} * 8^{4}\\ = 8^{-9 + 4} = 8^{-5}\\\\8^{-5}[/tex]is your answer.
~
what statement is true about the expression 12 - 7 + 3
Answer:
The Answer is B
________________________
If this helped mark me as brainliest!
Hope you have a great day!
Answer:
We can first determine it is not A or C, because these flatly do not equal the expression above.
I believe is it D, because of the commutative property.
The associative property of addition states that you can group the addends in different ways without changing the outcome. While the commutative property of addition states that you can reorder the addends without changing the outcome.
In this case, we are rearranging the addends, not groups of them.
Step-by-step explanation:
