Answers
Answer:
since its an isosceles trigon and OR=OP then angle P is going to be equal with angle R so P=R=50°
Answer:
65° is the answer of your question
please follow me and leave a ♡ like
Related Questions
write a word problem that can be modeled by the equation x + 5 = 12
Answers
Answer:
x=7
Step-by-step explanation:
x+5=12
-5 -5
x=7
MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500.
a. What are the expected value, the standard deviation, and the shape of the sampling distribution of?
b. What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14?
c. What is the probability that the average aptitude test in the sample will be greater than 82.68?
d. What is the probability that the average aptitude test in the sample will be less than 78.69?
e. Find a value, C, such that P(( x>C) = .015.
Answers
Answer:
a) The expected value is 75, the standard deviation is 3 and the shape is approximately normal.
b) 0.9387 = 93.87% probability that the average aptitude test in the sample will be between 70.14 and 82.14.
c) 0.0052 = 0.52% probability that the average aptitude test in the sample will be greater than 82.68.
d) 0.8907 = 89.07% probability that the average aptitude test in the sample will be less than 78.69.
e) C = 81.51.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes 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].
The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15.
This means that [tex]\mu = 75, \sigma = 15[/tex]
a. What are the expected value, the standard deviation, and the shape of the sampling distribution of?
By the Central Limit Theorem, it will be approximately normal, with expected value [tex]\mu = 75[/tex] and standard deviation [tex]s = \frac{15}{\sqrt{25}} = 3[/tex].
b. What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14?
This is the pvalue of Z when X = 82.14 subtracted by the pvalue of Z when X = 70.14.
X = 82.14
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{82.14 - 75}{3}[/tex]
[tex]Z = 2.38[/tex]
[tex]Z = 2.38[/tex] has a pvalue of 0.9913.
X = 70.14
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{70.14 - 75}{3}[/tex]
[tex]Z = -1.62[/tex]
[tex]Z = -1.62[/tex] has a pvalue of 0.0526
0.9913 - 0.0526 = 0.9387
0.9387 = 93.87% probability that the average aptitude test in the sample will be between 70.14 and 82.14.
c. What is the probability that the average aptitude test in the sample will be greater than 82.68?
This is 1 subtracted by the pvalue of Z when X = 82.68. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{82.68 - 75}{3}[/tex]
[tex]Z = 2.56[/tex]
[tex]Z = 2.56[/tex] has a pvalue of 0.9948.
1 - 0.9948 = 0.0052
0.0052 = 0.52% probability that the average aptitude test in the sample will be greater than 82.68.
d. What is the probability that the average aptitude test in the sample will be less than 78.69?
This is the pvalue of Z when X = 78.69. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{78.69 - 75}{3}[/tex]
[tex]Z = 1.23[/tex]
[tex]Z = 1.23[/tex] has a pvalue of 0.8907.
0.8907 = 89.07% probability that the average aptitude test in the sample will be less than 78.69.
e. Find a value, C, such that P(( x>C) = .015.
This is X when Z has a pvalue of 1 - 0.015 = 0.985. So X when Z = 2.17.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]2.17 = \frac{X - 75}{3}[/tex]
[tex]X - 75 = 3*2.17[/tex]
[tex]X = 81.51[/tex]
So C = 81.51.
can someone please help me
Answers
Answer:
AB = 10
CW = 8
angle BAD = 50
angle CDB = 65
angle DWA = 90
angle WCD = 25
Step-by-step explanation:
use the known facts that a rhombus = 360 degrees, pythagorean theorem, etc. if you want a full explanation lmk and i can edit my response
A number is divided by 3 and increased by 6. The answer is 14.
Which of the following equations matches this statement?
3x + 6 = 14
Answers
Answer:
x/3 + 6 = 14
Step-by-step explanation:
AUVW - APOR
W
63
U
V
77
P
66
R
?
2
Q
SOMEONE PLS HELP.
Answers
Answer:
x = 54
Step-by-step explanation:
Since both triangles are similar, therefore,
[tex] \frac{UV}{PQ} = \frac{VW}{QR} [/tex]
[tex] \frac{77}{66} = \frac{63}{x} [/tex]
[tex] \frac{7}{6} = \frac{63}{x} [/tex]
Cross multiply
[tex] 7*x = 63*6 [/tex]
[tex] 7x = 378 [/tex]
Divide both sides by 7
x = 54
QUESTION.
What is an improper fraction? An improper fraction:
Does anyone know this?
Answers
Answer:
An improper fraction is when the numerator of the fraction is larger than the denominator
For example, 13/4 is improper because 13 > 4
An improper fraction can be changed into a mixed number by dividing the numerator by the denominator
For example, 13 divided by 4 is 3 with remainder 1, or 3 1/4
Step-by-step explanation:
Answer:
An improper fraction is when the numerator is a larger number than the denominator. An improper fraction is also what the fraction is before you simplify it down to either a whole number or a mixed number.
An example of an improper fraction simplified to a whole number is 25/5. This can be simplified down to 5.
An example of an improper fraction simplified to a mixed number is 17/3. This can be simplified down to 5-2/3.
Pls someone help me if you can !!
Answers
Answer:
1890 cubic inches
Write the equation of the line given the point (2, 5) and the slope -2.
Answers
Answer:
by point slope form
(y-5)/(x-2)=-2
Answer:
3x+y=16
x−y+4=8
4x−5+y=0
Olivia walks up to a tank of water that can hold up to 50 gallons. When it is active, a drain empties water form the tank at a constant rate. When Olivia first sees the tank, it contains 38 gallons of water. Four minutes later, the tank contains 18 gallons of water.
a.) At what rate is the amount of water in the tank changing? Use a signed number and include the unit of measurement in your answer.
b.) How many more minutes will it take for the tank to drain completely?
c.) How many minutes before Olivia arrived was the water tank completely full?
Answers
Answer:
C
Step-by-step explanation:
I got the answer C because if the estimated value of the tank is 50 and it gets drained it will only have 18 gallon in it
5%
3.36m inutos
2.24mi nutos
The slope of the line below is - 1/7. Write a point-slope equation of the line
using the coordinates of the labeled point.
O A. y+3 --=(x +3)
O B. y-3--4(x-3)
O C. y+3 = (x+3)
O D.y-3 = {(x-3)
Answers
Answer:
Option B. y – 3 = –1/7(x – 3)
Step-by-step explanation:
From the question given above, the following data were obtained:
Slope (m) = –1/7
Coordinate = (3, 3)
x₁ coordinate = 3
y₁ coordinate = 3
The equation of the line can be written as follow
y – y₁ = m(x – x₁)
y – 3 = –1/7(x – 3)
The graph shows the total number of text messages donuts typically sends in a given number a days. How many messages does she send in 5 day?
Answers
HELPPPP MATHS PLSSSSSSS
Answers
Answer:
b and d
Step-by-step explanation:
250% as a fraction in simplest form
Answers
Answer:
I think 1/4
Step-by-step explanation:
1000% ÷ 4 =250%
Step-by-step explanation:
(250÷50)/(100÷50) = 5/2 when reduced to the simplest form.
16.1 + d = 22; d = 6.1
Answers
Answer:
16.1 + 6.1=22
that is not equal because it will give you 22.2
as the answer hope this helps
have a good day :)
Step-by-step explanation:
Find the perimeter of ABHG. Round your answer to the nearest tenth of an inch.
Answers
Answer:
Step-by-step explanation:
Factor each completely :
NEED THIS ANSWER ASAP
Answers
Answer:
4) 7k² + 9k
= k(7k + 9)
5) x² - 25
= (x)² - (5)².
(a² - b²) = (a+b)(a-b)
= (x - 5)(x + 5)
WHAT IS 3³ . (12 - 2) ÷ 2?
Answers
Answer:
if the period is a multiplication sign then its 135
Step-by-step explanation:
Answer:
135
Step-by-step explanation:
following the PEMDAS rule, of course
WHO CAN ANSWER THIS TOOO
Answers
Width of the enlarged photograph = 14 cm
Steps to derive the correct answer :Length of a small photograph = 6 cm
Width of a small photograph = 4 cm
Length of the photograph when enlarged = 21 cm
Let the width of the photograph when enlarged be x.
Which means :
[tex] = \tt 4 : 6 : : x : 21[/tex]
[tex] =\tt \frac{4}{6} = \frac{x}{21} [/tex]
[tex] =\tt 4 \times 21 = 6 \times x[/tex]
[tex] =\tt 84 = 6x[/tex]
[tex] =\tt x = \frac{84}{6} [/tex]
[tex] =\tt x = 14[/tex]
Thus, the value of x = 14
Therefore, the width of the enlarged photograph = 14 cm
(0,7)(6,-3) find the slope
Answers
Answer:
-5/3
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -3 -7)/(6-0)
= -10 / 6
= -5/3
WILL MARK BRAINLIEST TIMED HELP!
The height of an arrow that is shot upward at an initial velocity of 40 meters per second can be modeled by h=40t-5t^2 where h is the height in meters and t is the time in seconds. Find the time it takes for the arrow to reach the ground.
Answers
Answer:
its 8 seconds :)
help pleaseeeeeeeeeee!!!!!
Answers
If Cara works 14 hours, she earns $84. If she works 19 hours, she earns $114. Let y represent the total amount of money that Cara earns working x number of hours. Model a equation and determine if this is a direction or inverse variation. 20 POINTS!!
Answers
Answer:
Step-by-step explanation:
14r=84, r=84/14=6, so the hourly rate is $6 an hour so
y(x)=6x
Since this is of the form y/x=k or y=kx it is directly proportional. Inverse proportion is of the form yx=k or y=k/x
multiple representations of exponential functions, sketch the graph of each function y={2}^{x}
Answers
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]y = 2^x[/tex]
Required
Plot the graph
First, we list out possible values of x and y
When [tex]x = 0[/tex]:
[tex]y = 2^0 = 1[/tex]
When [tex]x= 1[/tex]:
[tex]y = 2^1 = 2[/tex]
When [tex]x =2[/tex]:
[tex]y = 2^2 = 4[/tex]
When [tex]x = 5[/tex]
[tex]y = 2^5 = 32[/tex]
So, we plot the graph by connecting the points of the above values.
See attachment for graph
Two numbers have ratio of 12:5 their difference is 49 find the two numbers
Answers
Answer: 84, 35
Step-by-step explanation:
12*7=84
5*7=35
84-35=49
The two numbers are 35 and 84
Let the two numbers be x and y
If the ratio are in 12: 5, hence:
x/y = 12/5
5x = 12y
x = 12y/5
If their difference is 49, then;
x - y = 49 .................. 2
12y/5 - y = 49
7y/5 = 39
7y = 49 * 5
y = 7 * 5
y = 35
Recall that x - y = 49
x = 49 + y
x = 49 + 35
x = 84
Hence the two numbers are 35 and 84
Learn more on equations here: https://brainly.com/question/14323743
The amount spent on movie tickets for 8 people is shown on the dot plot.
X
x
58.00
59.00
$10.00
$11.00
$12.00
Select the data set that matches with this dot plot.
{$10.00, $9.00, $11.00, $9.00, $9.00, $11.00, $12.00, $11.00}
{$10.00, $11.00, $12.00, $12.00, 59.00, $10.00, $9.00, 59.00}
{$10.00, $10.00, $12.00, $12.00, $9.00, 59.00, $10.00, $10.00}
(59.00, $12.00, $10.00 $9.00, $9.00, $9.00. S10.00, S11.00}
Type here to search
Answers
Answer:
math way can help
Step-by-step explanation:
A principal of $7000 is invested in an account paying an annual rate of 7%. Find the amount in the account after 5 years if the account is compounded semiannually, quarterly, and monthly. (a) The amount in the account after 5 years if the account is compounded semiannually is? (Round to the nearest cent.)
Answers
Answer:
$2,874.19
Step-by-step explanation:
Hope this helps
George walks to a friend's house.
Answers
Answer:
George is a good friend :)
Step-by-step explanation:
Select the inequality that matches the statement below:
more than 22
A. y < 22
B. y ≤ 22
C. y > 22
D. y ≥ 22
Answers
y is more than 22
HELP WITH IM ON A TIMER HURRY!!
Answers
Answer:
7
Step-by-step explanation:
1/3 of 5/8 as a fraction
Answers
Answer: how are you doing this tho
Step-by-step explanation:
The 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
1/3 of 5/8 as a fraction
Let x be the fraction:
x = 1/3 of 5/8
Or
x = (1/3)(5/8)
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
After multiplication:
x = 5/24
Thus, the 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2