Answer:
The value of the appropriate test statistic is Z = -2.71.
Step-by-step explanation:
The mean annual starting salaries for college graduates with a degree in Operations Management was $65,000. We would like to determine whether or not this has decreased this year due to the pandemic.
This means that the null hypothesis is that the mean stays the same, that is:
[tex]H_0: \mu = 65000[/tex]
The alternative hypothesis is that it decreased, that is:
[tex]H_a: \mu < 65000[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
65000 is tested at the null hypothesis:
This means that [tex]\mu = 65000[/tex]
Data were collected over the annual starting salaries from a random sample of 40 Operations Management graduates. The average salary is $63,500 in the sample. Assume the standard deviation for the population of annual salaries is $3500.
This means that [tex]n = 40, X = 63500, \sigma = 3500[/tex]
What is the value of the appropriate test statistic?
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{63500 - 65000}{\frac{3500}{\sqrt{40}}}[/tex]
[tex]Z = -2.71[/tex]
The value of the appropriate test statistic is Z = -2.71.
NEED HELP ASAP 10 min !!!!!!!!!!!!!!
What number is 4 units to the left of the number 1 on the number line?
Answer:
-3
Step-by-step explanation:
-5,-4,-3,-2,-1,0,1,2,3,4,5,
< < < <
should i get taco bell or mcdonald’s after hours of stressing and overthinking me and everyone else’s existence ¿
Answer:
taco bell
Step-by-step explanation:
Answer:
i would say taco bell
Step-by-step explanation:
have a blessed day :)
Frank works at Best Buy. After 2 hours he’ll earn $15.50. If he works 4 hours he’ll earn $31.00. Find the rate of change and write your answer as a decimal.
Answer:
Each hour he earns $7.75
Step-by-step explanation:
You can find this out by dividing the money that he earns in 2 hours by 2 to get $7.75 an hour because $15.50 divided by 2 equals $7.75
An exponential function f(x)=ab^x passes through the points (0,7) and (3, 189). what are the values of a and b?
Answer:
The value of a is 7.
The value of b is 3.
Step-by-step explanation:
We are given the following function:
[tex]f(x) = ab^{x}[/tex]
Point (0,7)
This means that when [tex]x = 0, f(x) = 7[/tex]. So
[tex]f(x) = ab^{x}[/tex]
[tex]7 = ab^{0}[/tex]
[tex]a = 7[/tex]
So
[tex]f(x) = 7b^{x}[/tex]
(3, 189)
This means that when [tex]x = 3, f(x) = 189[/tex]. We use this to find b. So
[tex]f(x) = 7b^{x}[/tex]
[tex]189 = 7b^{3}[/tex]
[tex]b^3 = \frac{189}{7}[/tex]
[tex]b^3 = 27[/tex]
[tex]b = \sqrt[3]{27}[/tex]
[tex]b = 3[/tex]
The value of b is 3.
Answer:
C
Step-by-step explanation:
C is the answer
someone help plsss :)))
Answer:
Solution given:
<1+57°=180°[ exterior angle is equal to the sum of two opposite interior angle of a triangle]
<1=180-57=123°
is your answer
Step-by-step explanation:
solution .
here ,
<1+57°= 180° [ being exterior angle ]
<X = 180° - 57°
<X=123°
hope it is helpful to you ☺️
Andre wants to run ten miles in three days. He ran 2.5 miles on Monday and 4.4 miles on Tuesday. How many miles does Andre need to run on Wednesday?
Answer:
3.1 miles
Step-by-step explanation:
2.5 + 4.4 = 6.9
10 - 6.9 = 3.1
How do you prove that a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects?
will ACTUALLY GIVE YOU BRAINLY AND EVERYTHING
Step-by-step explanation:
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. If CP is the perpendicular bisector of AB, then CA = CB. If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.
Answer:
Well, the meaning of Equidistant is if a point is equidistant from other points if the line segments linking it to them are congruent. And a perpendicular bisector cuts the segment it intercepts into two equal halves. So if point E is the midpoint of segment AB making it AE = EB. So, if a point is on the perpendicular bisector of a section, it is the same distance from both ends. And if a point is the same distance from both ends of a segment, then it is on the segment's perpendicular bisector.
Step-by-step explanation:
6.167 High School Graduates. According to the document Cur-rent Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level. If 100 such adults are selected at random, determine the probability that the number who have a high school degree as their highest educational level is
Answer:
Hello your question is incomplete below is the missing value
determine the probability that the number who have a high school degree as their highest educational level is exactly 32
answer : P( x = 32 ) = 0.08
Step-by-step explanation:
Given ;
n = 100 , p = 0.304
np = 100 * 0.304 = 30.4
n( 1 - p ) = 100 ( 1 - 0.304 ) = 69.6
applying normal approximation to the Binomial to determine mean value and standard deviation ( because: np and n(1-p) > 5 )
mean = np = 30.4
std = [tex]\sqrt{np(1-p)}[/tex] = [tex]\sqrt{30.4(69.6)}[/tex] = 4.6
Determine the probability of exactly 32
P( X = 32 ) = P( 31.5 < X < 32.5 )
= P( (31.5 - 30.4) / 4.6 < X < (32.5 - 30.4) / 4.6 )
= P ( 0.24 < Z < 0.46 )
= p( Z < 0.46 ) - p( Z< 0.24 ) ( using standard tables )
= 0.6772 - 0.5948 = 0.0824 ≈ 0.08
PLEASE HURRY~ CHOOSING BRAINLIEST
Write the equation of the line with x-intercept 3 and y-intercept 2.
A) y = 2/3 x + 2
B) y = 3/2 x + 2
C) y = − 2/3 x + 2
D) y = − 3/2 x + 2
(the numbers with / between them are fractions)
Answer:
Step-by-step explanation:
Because the y intercept is two our y=mx+b equation looks like this
y=mx+2
We then need to find a slope that gives us an x intercept of 3 or satisfies the coordinates of (3,0)
We can plug this in and solve
0=3m+2
-2=3m
-2/3=m
which means our final equation is
-2/3x+2
C
I need help solving this problem.
9514 1404 393
Answer:
8/7
Step-by-step explanation:
[tex]\displaystyle\left(\frac{g}{f}\right)(-2)=\frac{g(-2)}{f(-2)}=\frac{7(-2)-2}{-2(-2)^2+3(-2)}\\\\=\frac{-16}{-8-6}=\boxed{\frac{8}{7}}[/tex]
Answer:
the answer is 8/7
Step-by-step explanation:
:)))))
Help can’t seem to figure out the base number?
9514 1404 393
Answer:
B = 6.65 in²
Step-by-step explanation:
The base area (B) is the area of the triangular base of the prism. You already know the sides of that triangle are 3, 5, and 7 inches. The figure shows the altitude to the side length 7 is 1.9 inches. The triangle area formula applies:
A = 1/2bh
A = 1/2(7 in)(1.9 in) = 6.65 in² . . . . area of one triangular base.
Then the area of one base is B = 6.65 in².
__
The lateral area is the product of the perimeter and the height:
LA = Ph = 15(12) = 180 . . . . square inches
The total surface area is the sum of the lateral area and the areas of the two bases.
SA = LA + 2B
SA = 180 in² + 2(6.65 in²) = 193.3 in²
whats 1/3 of 2/4
answer pls
Answer:
0.16666666666 or 16666666666/100000000000
Step-by-step explanation:
Which of the following is equivalent to the equation below?
243 = 32
A
log: x = 243
B.
log243 3 = x
С
log, 3 = 243
D
log: 243 = x
the midpoint of AB has a coordinates of (5,-1). if the coordinates of A are (2,-3), what are the coordinates of B?
8 cm
5 cm
What is the perimeter? If necessary, round to the nearest tenth.
centimeters
Answer:
Hypotenuse square = 8cm
Base square= 5cm
Altitude square= a
= hyp square - Base Square
= [tex]8^{2}[/tex] - [tex]5^{2}[/tex]
= 8 x 8 - 5 x 5
= 64 - 25
= 39
= 6.24
Perimeter of The Triangle= 8cm + 5cm+ 6cm
= 19cm
19 to the nearest tenth --> 20cm
HOPE THIS HELPS
Answer:
p=50cm
8cm
Step-by-step explanation:
p=10x5
8
p=50
8
PLSS I NEED HELP ASAP! only answer if you know & no links or i will report you. Im running low on points so PLS PLS ONLY ANSWER IF UR SURE
Answer:
45
Step-by-step explanation:
Its congruent to the other side so it must be the same angle on both sides
A cone has a volume of 230 1/2, it has a radius square of 16, what is the height of the cone to the nearest tenth?
Answer:
h≈0.86
Step-by-step explanation:
Consider the following function.
f(x) = 5*
Complete the following statements about f(x).
The y-intercept of f(x) is
The x-intercept of f(x) is
The end behavior of f(x) is
I need help!
The x-intercept is at (∞, 0)
The y intercept is (0, 1)
Intercept of a graphThe x-intercept of a graph occurs at the point where y = 0
Given the equation y = 5^x
If y = 0
5^x = 0
xln5 = ln 0
x = ln0/ln5
x = ∞
The x-intercept is at (∞, 0)
y-intercept
The y-intercept occurs at the point where x = 0
y = 5^0
y = 1
Hence the y intercept is (0, 1)
Learn more on intercept here: https://brainly.com/question/25722412
a girl is 10 years older then her brother. By next year, she will be twice the age of her brother. what are their ages now?
Answer:
20 years old.
Step-by-step explanation:
let me know if I'm right or not
What is the y-intercept of the line?
A right rectangular prism has a right triangular prism-shaped hole through it. What is the volume of the shape? Show your work.
Answer:
Volume of the shape = 1,190 in.³
Step-by-step explanation:
The volume of the shape = volume of the rectangular prism - volume of the right triangle prism
= L*W*H - ½*b*h*l
Where,
L = 20 in.
W = 8 in.
H = 8 in.
b = 3 in.
h = 3 in.
l = 20 in.
Plug in the values
Volume of the shape = 20*8*8 - ½*3*3*20
= 1,280 - 90
= 1,190 in.³
Use the binomial squares pattern to multiply (6u3−v)2.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 36u^6-12u^3v + v^2
Explanation:
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Which graph represents the solution
of the inequality below?
- 1.2x - 6.5x ≤ 2.3x + 5
Hot
A
-3 -2 -1 0 1 2 3
(B)
-3 -2 -1
0 1
2 3
tot
-3 -2 -1 0 1 2 3
th
-3 -2 -1 0 1 2 3
N-
f
Answer:
i think its d
Step-by-step explanation:
im not sure, im sorry if its wrong, but it makes about as much sense as i can squeeze out of it.
In circle D with mZCDE = 112 and CD = 9 units, find the length of arc CE.
Round to the nearest hundredth.
Answer:
CE= 17.59
Step-by-step explanation:
Arc Length=central angle/ 360 (circumference)
CE= 112/ 360 (2π9)
CE= 17.59
Asa has 4 pairs of shoes, 5 pairs of pants, and 4 shirts which can be worn in any combination. he need to choose an outfit to wear to his friends birthday party. how many different combinations consisting of one item in each category are possible?
A.9
B.13
C.20
D.40
E.80
Answer:
E
Step-by-step explanation:
V/16.1=7.5 please help
Answer:
V/16.1=7.5
V=16.1×7.5
V=120.75
Courtney bought 2 quarts of milk, 4 quarts of orange juice, and 2 quarts of apple juice. How many gallons of liquid did she buy?
The number of gallons of liquid that Courtney bought is 2 gallons.
What are Measurements?Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object.
Given that,
Amount of milk bought = 2 quarts
Amount of orange juice bought = 4 quarts
Amount of apple juice bought = 2 quarts
Total amount of liquid bought = 2 + 4 + 2 = 8 quarts
We have the conversion,
1 quart of liquid = 0.25 gallon of liquid
Total amount of liquid bought in gallons = 8 × 0.25 = 2 gallons
Hence the total amount of liquid bought is 8 gallons.
Learn more about Measurements here :
https://brainly.com/question/29824090
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What is the value of x
(X+40)=3x
Answer:
20
Step-by-step explanation:
collect like terms and divide both sides
Determine if each situation represents experimental or theoretical probability.
Kelly has made 16 out of 25 free throws. The probability that she will make her next free throw is 64%.
Answer:
The answer might be a 91% chance of her next throw
Step-by-step explanation: