Answers
Answer:
38 (cm.)
Step-by-step explanation:
1) to calculate the values of 'x' and 'y' (see the picture):
x=10-3-3-2=2 cm.
y=3 cm.
2) to calculate the required perimeter:
10+3+3+6+3+3+2+3+2+3=38 cm.
Related Questions
Write the formula for the area of a trapezoid
Answers
Answer:
Step-by-step explanation:
A=(a+b)/2 x h.
11. Choose the proportion that represents this problem:
If one meter is approximately 3.28 ft, how many meters are
in 20 ft?
a) 3.28
20
b) 3.28
20
1
1
m
O ) c) 3.28
20
1
d) 20
3.28
1
m
т
Answers
Answer:
D is the answer
Step-by-step explanation:
Suppose that attendance at the concerts by the band "Keane" is a normally distributed random variable X with a mean of 18,500. You are told that P(X ≥ 15,000) = 0.6981. What are the two values of X that delineate the "82% middle pack" of this random variable?
A random variable has a population mean equal to 1,973 and population variance equal to 892,021. Your interest lies in estimating the population mean of this random variable. With that in mind, you take a representative sample of size 79 from the population of the random variable. You then use this sample data to calculate the sample average as an estimate for the population mean.
Required:
Using your knowledge about the central limit theorem (CLT), and assuming that the CLT has already "established itself" / "kicked in" when the sample size is 79, what is the probability that the sample average that you calculated will lie between 1,702 and 1,948?
Answers
Answer:
The two values of X that delineate the "82% middle pack" of this random variable are 9480 and 27520.
0.4017 = 40.17% probability that the sample average that you calculated will lie between 1,702 and 1,948.
Step-by-step explanation:
To solve the first question, we use the normal distribution, while for the second quetion, it is used with the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
First question:
Mean of 18,500:
This means that [tex]\mu = 18500[/tex]
You are told that P(X ≥ 15,000) = 0.6981.
This means that when [tex]X = 15000[/tex], Z has a o-value of 1 - 0.6981 = 0.3019, which means that when [tex]X = 15000, Z = -0.52[/tex]. We use this to find [tex]\sigma[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.52 = \frac{15000 - 18500}{\sigma}[/tex]
[tex]0.52\sigma = 3500[/tex]
[tex]\sigma = \frac{3500}{0.52}[/tex]
[tex]\sigma = 6731[/tex]
What are the two values of X that delineate the "82% middle pack" of this random variable?
Between the 50 - (82/2) = 9th percentile and the 50 + (82/2) = 91st percentile.
9th percentile:
X when Z has a p-value of 0.09, so X when Z = -1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.34 = \frac{X - 18500}{6731}[/tex]
[tex]X - 18500 = -1.34*6731[/tex]
[tex]X = 9480[/tex]
91st percentile:
X when Z has a p-value of 0.91, so X when Z = 1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.34 = \frac{X - 18500}{6731}[/tex]
[tex]X - 18500 = 1.34*6731[/tex]
[tex]X = 27520[/tex]
The two values of X that delineate the "82% middle pack" of this random variable are 9480 and 27520.
Question 2:
A random variable has a population mean equal to 1,973 and population variance equal to 892,021.
This means that [tex]\mu = 1973, \sigma = \sqrt{892021} = 944.5[/tex]
Sample of 79:
This means that [tex]n = 79, s = \frac{944.5}{\sqrt{79}}[/tex]
What is the probability that the sample average that you calculated will lie between 1,702 and 1,948?
This is the p-value of Z when X = 1948 subtracted by the p-value of Z when X = 1702. So
X = 1948
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{1948 - 1973}{\frac{944.5}{\sqrt{79}}}[/tex]
[tex]Z = -0.235[/tex]
[tex]Z = -0.235[/tex] has a p-value of 0.4071
X = 1702
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{1702 - 1973}{\frac{944.5}{\sqrt{79}}}[/tex]
[tex]Z = -2.55[/tex]
[tex]Z = -2.55[/tex] has a p-value of 0.0054
0.4071 - 0.0054 = 0.4017
0.4017 = 40.17% probability that the sample average that you calculated will lie between 1,702 and 1,948.
Maria is asked to write down a prime number between 10 and 20 she writes down 17 is she right explain your answer
Answers
Answer:
YES
Step-by-step explanation:
PRIME NUMBER BETWEEN 10 & 20 ARE 11,13,17,19-four
Step-by-step explanation:
it has no factor excluding 1 and itself
What is the slope of the line graphed below?
(-2,2)
(3, 1)
Answers
Answer:
hey. your questions is not complete. pls add an attachment of the graph to your question
Answer:
[tex]-\frac{1}{5}[/tex]
Step-by-step explanation:
To find the slope, the formula is [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{1-2}{3-(-2)}=-\frac{1}{5}[/tex]
Hope this helps
What is the volume of the rectangular prism?
3 cm
8 cm
2 cm
cm3
Answers
Answer:
48 cm^3
Step-by-step explanation:
Since there is no image, I’m just going to assume that these three measurement are the length, width, and height of the rectangular prism:
The formula for the volume of a rectangular prism is length x width x height.
Use formula with given dimensions:
3 x 8 x 2 = 48
Volume is measured in cubic centimeters
(cm in this case)
Therefore, the volume of the rectangular prism is 48 cm^3
Hope this helps!
Thirty-five percent of adult Americans are regular voters. A random sample of 250 adults in a medium-size college town were surveyed, and it was found that 110 were regular voters. Estimate the true proportion of regular voters with 90% confidence and comment on your results.
Answers
Answer:
Hence the true proportion is (0.388, 0.492).
Step-by-step explanation:
Given n=250,
[tex]p= 110/250 =0.44[/tex]
[tex]a=0.1, |Z(0.05)|=1.645[/tex] (check standard normal table)
So 90% CI is
[tex]p ± Z*√[p*(1-p)/n]\\0.44 ± 1.645*sqrt(0.44*(1-0.44)/250)\\ ( 0.388, 0.492)[/tex]
Whats the nth term in this sequence
1 , 7, 13, 19
Answers
Step-by-step explanation:
the answer is in the above image
2x+ 4y =16 -2x- 3y = -6 solve this system of equations using the elimination method
Answers
[tex] \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \underline{ \tt {x = - 12 \: and \: y = 10}}}}}✓}[/tex]
See the attached picture! Let me know if you have any questions regarding my answer! ツ▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
[tex] \small \sf \: x = - 12 \: \: and \: y = 10[/tex]
Step-by-step explanation:
2x + 4y = 16.
-2x - 3y = -6
Add both equation ;
[tex] \small \sf \: \: \: \: \: 2x + 4y = 16 \\ + \small \sf \: \: \underline{ -2x - 3y = -6 }\\ \small \sf \: \: \: \: \: \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \blue{y = 10}} [/tex]
Therefore , y = 10
Substitute the value of y in the first equation
2x + 4 = 16
2 x + 4 × (10) = 16
2x + 40 = 16
subtract 40 from both side
2x + 40 - 40 = 16 - 40
2x = - 24
divide each side by 2
2x/ 2 = - 24 / 2
x = - 12
simplify the following expression <3
Answers
Answer:
4x^12y^6/z^5
Step-by-step explanation:
See image below:)
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
Choose the equation that represents the line that passes through the point (6, -3) and has a slope of
1/2
y=-x+6
y=2x-6
y=2x+3
Answers
Answer:
y=1/2x-6
Step-by-step explanation:
slope=1/2, (6,-3)
plug in the x and y coordinates into the equation
-3= 1/2 (6) +b
-3=3+b
subtract 3 from both sides
b=-6
y=1/2x-6
Select the correct answer from each drop-down menu.
What is the end behavior of function h?
h(x) = -4x2 + 11
As x approaches negative infinity, h(x) approaches
As x approaches positive infinity, h(x) approaches
Answers
Answer:
The first is negative and the second is also negative. Just took the test and passed.
Step-by-step explanation: Step by Step
Because the variable has an even power, we will see that:
As x approaches -∞, h(x) approaches -∞As x approaches ∞, h(x) approaches -∞.What is the end behavior of h(x)?Here we have h(x) = -4x^2 + 11
Notice that the variable is squared, this means that the sign does not matter, the outcome of:
-4x^2 will always be negative. So in both ends (when x tends to infinity and negative infinity), we will have the same end behavior.
When we take that limit, -4x^2 will just tend to negative infinity, then in both cases, the function tends to negative infinity.
So we have:
As x approaches negative infinity, h(x) approaches negative infinity.As x approaches positive infinity, h(x) approaches negative infinity.If you want to learn more about limits, you can read:
https://brainly.com/question/5313449
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answers
Answer:
4. 52sq.ft
5.25sq.ft
Step-by-step explanation:
In attachment
Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. During one busy period, Kyle served 29 cups of coffee, using 444 ounces of coffee, while collecting a total of $35.90. How many cups of each size did Kyle fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ 20-oz cup(s).
Answers
Answer:
10 oz: 7
14 oz: 8
20 oz: 6
Answer:
Kyle filled 4 servings of 10oz 16 servings of 14 oz 9 servings of 20 oz
Step-by-step explanation:
10oz 95c = x
14oz 1.15c = y
20oz 1.50c = z
444 given divided by 29 cups
= 444/29 = 15.3103448 average cup weight so the higher size were used more.
9 servings of 20 oz cups = 180 = cost check at 1.50 x 9 = $13.50
16 servings of 14 oz cups = 224 = cost check at 16 x 1.15 = $18.40
4 servings of 10 oz cups = 40 = cost check at 4 x 0.95 = $3.80
Where given collection total said to be $35.90 we total 13.5+18.4+3.8 = 35.7 so we are 0.20 out and can try again.
OR just submit this. 4 servings of 10oz 16 servings of 14 oz 9 servings of 20 oz
Divide.
5,743 ÷ 9
Enter your answer by filling in the boxes.
R
Answers
Answer:
638.11
Step-by-step explanation:
Find the product of (x + 3) (x - 18)
Answers
Answer:
x^2-15x-54
Step-by-step explanation:
(x+3)(x-18) Multiply them all
x^2-18x+3x-54
ans=x^2-15x-54
Find the area of the figure shown
Answers
Answer:
Step-by-step explanation:
What is the value of n?
Answers
Answer:
A
Step-by-step explanation:
180-133= 47
180-142= 38
47+38= 85
180-85= 95
If the inside of n is 95, n has to be 85
R(-9, 4) and S(2, -1); Find T.
Answers
Answer:
AYYYYYYYYYYYYYYYYYYYYY
Step-by-step explanation:
The_____ is the result of the sum of the numbers being divided by how many numbers are in set.
Answers
Answer:
Mean
Step-by-step explanation:
Mean
less precisely called the average
please help me simplify the expression and please show work!!! <3
Answers
Step-by-step explanation:
[tex] \frac{x + 4}{3 {x}^{2} - 12x - 96} = \frac{x + 4}{3( {x}^{2} - 4x - 32) } = \frac{x + 4}{3(x - 8)(x + 4)} [/tex]
[tex] = \frac{1}{3(x - 8)} = \frac{1}{3x - 24} [/tex]
Name two grouping symbols.
Answers
Answer:
parentheses ( ), brackets [ ], and braces { }—are used to group numbers or variables (letters
Step-by-step explanation:
I put three for if u need hope this helps:)
Which of the following best shows the distributive property?
1. 2(2 - 3) = 2(-1)
2. 2(2 - 3) = 2(2) - 2(3)
3. 2 - 3 = (-3) + 2
4. 2 + (2 - 3) = (2 - 2) + 3
Answers
Answer:
number 2
Step-by-step explanation:
2x2=4
2x-3=-6
4-6=-2
2x2=4
-2x3=-6
4-6=-2
Lola tossed a coin twice. She made a tree diagram to show the possible outcomes. Which tree diagram shows the sample space for two tosses of a coin?
Answers
Step-by-step explanation:
note : H for head, T for tail
Can someone help me please
Answers
Answer:
A
Step-by-step explanation:
Answer: It has to be A
Step-by-step explanation: It's the only statement that makes sense.
Thirty less than four times a number is fifty
Answers
4x-30= 50
mark me brainliestttt :))
Answer:
The number is 20
Step-by-step explanation:
Let the number be x
Four times the number means = 4x
30 less than the number is 50 means = 4x - 30 = 50
Solve for x :
4x - 30 = 50
4x - 30 + 30 = 50 + 30 [ adding 30 on both sides ]
4x = 80 [ - 30 + 30 = 0 ]
x = 20 [ dividing by 4 on both sides ]
Suppose X is a random variable with a mean of 10 and a variance of 100. Suppose Y is a random variable with a mean of 2 and a standard deviation of 16. Also, suppose X and Y are independent. What is the mean of 10 X + 3 Y?
Answers
Answer:
[tex]E(10x + 3y) =106[/tex]
Step-by-step explanation:
Given
[tex]E(x) =10[/tex]
[tex]Var(x) = 100[/tex]
[tex]E(y) =2[/tex]
[tex]Var(y) = 16[/tex]
Required
[tex]E(10x + 3y)[/tex]
To do this, we make use of the following equation
[tex]E(ax + by) =aE(x) + bE(y)[/tex]
So, we have:
[tex]E(10x + 3y) =10 * E(x) + 3 *E(y)[/tex]
[tex]E(10x + 3y) =10 * 10 + 3 *2[/tex]
[tex]E(10x + 3y) =100 + 6[/tex]
[tex]E(10x + 3y) =106[/tex]
I need the answer find the value of x
Answers
Answer:
1. x = 126
angle POS = 33
2. x = 31
angle MOL = 118
Step-by-step explanation:
for question one, 147 degrees equals x + 21
so x = 126
147 plus 147 equals 294
360-294 equals 66
66/2 equals angle POS
angle POS = 33
for question 2, 62 degrees equals 2x
62 divided by 2 is 31
x = 31
62 + 62 = 124
360-124 = 236
236/2 = 118
angle MOL = 118
Answer:76
Step-by-step explanation:
67
Alguien puede ayudarme?
Answers
Answer:
I don’t understand you language
Step-by-step explanation:
Make it in English
In triangle ABC, the size of the B is 4 times the size of angle A, and the size of angle C is 14 cel less than 5 times the size of the.
The size of angle a is ____
The size of angle b is____
The size of angle c is________
Answers
Answer:
[tex]A = 19.4[/tex]
[tex]B = 77.6[/tex]
[tex]C =83[/tex]
Step-by-step explanation:
Given
By interpreting each line, we have:
[tex]B = 4A[/tex]
[tex]C = 5A -14[/tex]
Required
Solve for A, B and C
In a triangle,
[tex]A + B + C = 180[/tex]
Substitute expressions for B and C
[tex]A + 4A + 5A - 14 = 180[/tex]
[tex]A + 4A + 5A = 180+14[/tex]
[tex]10A = 194[/tex]
Solve for A
[tex]A = 194/10[/tex]
[tex]A = 19.4[/tex]
[tex]B = 4A[/tex]
[tex]B = 4 * 19.4[/tex]
[tex]B = 77.6[/tex]
[tex]C = 5A -14[/tex]
[tex]C =5 * 19.4 - 14[/tex]
[tex]C =83[/tex]
