Answer:
The test statistics is [tex]z = -1[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The null hypothesis is [tex]H_o : \mu = \$30000[/tex]
The alternative hypothesis is [tex]H_a : \mu < \$ 30000[/tex]
The sample mean is [tex]\= x = \$29,750[/tex]
The standard deviation is [tex]\sigma = \$2,500[/tex]
The level of significance is [tex]\alpha =0.05[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }[/tex]
=> [tex]z = -1[/tex]
From the desired test, we have that:
a)
The null hypothesis is: [tex]H_0: \mu \geq 30000[/tex]The alternative hypothesis is: [tex]H_1: \mu < 30000[/tex]b) The t-statistic is t = -1.
Item a:
At the null hypothesis, we test if the average starting salary for clerical employees in the state is not less than $30,000, that is:
[tex]H_0: \mu \geq 30000[/tex]
At the alternative hypothesis, it is tested if the salary is less than $30,000, that is:
[tex]H_1: \mu < 30000[/tex]
Item b:
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 29750, \mu = 30000, s = 2500, n = 100[/tex]
Hence, the t-statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{29750 - 30000}{\frac{2500}{\sqrt{100}}}[/tex]
[tex]t = -1[/tex]
The t-statistic is t = -1.
A similar problem is given at https://brainly.com/question/13873630
which number completes the inequality?
Answer:
1.08
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
1.01<1.08<1.17<1.20
What is the Inverse function of F(x)=3x²?
Answer:
f⁻¹(x) = x+2 / 3
Step-by-step explanation:
i dont have one. i just did it.
You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence interval for the menu systolic blood pressure for the employees of this company is (122, 138). Which of the following statements gives a valid interpretation of the confidence level?a. 95% of the sample of employees have a systolic blood pressure between 122 and 138.b. 95% of tire population of employees have a systolic blood pressure between 122 and 138c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population means systolic blood pressure.d. The probability that the population mean blood pressure is between 122 and 138 is .95
Evaluate 3 + (a + 4)(8 - b) when a = 5 and b = 6.
The value of the expression is
Answer:
21
Step-by-step explanation:
you plug in 5 for a and 6 for b and solve.
The value of the expression 3 + (a + 4)(8 - b) when a = 5 and b = 6 is 21
How to evaluate an expression?3 + (a + 4)(8 - b)
when,
a = 5 and b = 6
substitute into the expression= 3 + (5 + 4) (8 - 6)
= 3 + 9 (2)
= 3 + 18
= 21
Therefore, the value of the expression 3 + (a + 4)(8 - b) when a = 5 and b = 6 is 21
Learn more about evaluation:
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9(2n+1) =
can someone help me, please
Answer:
9(2n + 1) = 18n + 9Step-by-step explanation:
9(2n + 1)
use the distributive property a(b + c) = ab + ac
= (9)(2n) + (9)(1) = 18n + 9
Step-by-step explanation:
9(2n+1) =0
18n+9 = 0
18n = -9
n = -9/18
n = -1/2
use mathematical language to decribe three different patterns in the following triangle.
Answer:
What's the triangle though?
Step-by-step explanation:
Answer:
Not enough Data
Step-by-step explanation:
10. DESIGN Mr. Hagarty is choosing tiles to design a kitche backsplash for a rectangular area 65 inches wide and 9 in tall . Design a backsplash using each type of rhombi-shape tile that minimizes cost. a. diagonals of 1 inch and 1.5 inches, $0.05 each b. diagonals of 1.5 inches and 2 inches, $0.07 each Areas of Trapezoids, Rhombi, and Kites 2 © B O DO
Answer:
I honeslty dont know I just need points to answer a question
Step-by-step explanation:
hope you find the answer youre looking for!
Putting money into more than one kind of investment at a time is called
Putting money into more than one kind of investment at a time is called Diversification.
What is Diversification?This a technique which helps to reduce risk through investing in different sectors and opportunities.
It also involves putting money in more than one type of investment which makes Diversification the most appropriate choice.
Read more about Diversification here https://brainly.com/question/18647091
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Hamburger meat cost $3.68 pound. which equation best represent y, the total cost of x pounds of hamburger meat?
Answer:
Y=3.68x
Step-by-step explanation:
Answer:
Its should be y=$3.68(X)
In a class 3/4 of the boys like math, 1/2 like science, 1/4 of those who like science do not like math. How many boys like neither math nor science?
A. 1/4
B. 1/6
C. 1/2
D. 1/8
Find the percent of decrease from 6 to 5.
Answer:
Use this
Step-by-step explanation:
Solve this radical equation:
Answer:
x = 5
Step-by-step explanation:
Step-by-step explanation:
Given,
[tex] \sqrt{x + 11} - x = - 1[/tex]
To Find:
Value of xSolution:
Square both sides, then solve.
[tex] \rm \implies \: \: \sqrt{(x + 11} ) {}^{2} = ( - 1 + x) {}^{2} [/tex]
[tex] \implies \rm \: x + 11 = - (1 + x) {}^{2} [/tex]
[tex] \rm \implies \: \: x + 11 = 1 - 2x + x {}^{2} [/tex]
[tex] \rm \implies \: 1−2x+x {}^{2}=x+11[/tex]
[tex] \rm \implies1+x {}^{2} −3x=11[/tex]
[tex] \rm \implies1+x {}^{2} −3x−11=0[/tex]
[tex] \rm \implies {x}^{2} - 3x - 10 = 0[/tex]
Factor the LHS
[tex] \implies \rm \: (x - 5)(x + 2) = 0[/tex]
Bring terms equal to 0, that is
[tex] \implies \rm(x - 5) = 0[/tex]
Solve for x[tex] \implies \rm \: x = 5+ 0 = \boxed 5[/tex]
AND set x+2 equal to 0,
[tex] \rm\implies \: x + 2 = 0[/tex]
Solve for x[tex] \rm \implies \: x = - 2[/tex]
So the possible two values are 5 & -2.
But, after plugging the values for verifying each,the most accurate is 5.
So, the value of x is 5.
In a class of 32 students for students were home sick with the flu on Thursday what percent of the students were absent on Thursday
graph the image of triangle UVW after a reflection across the line x = -1
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Reflection over the line x = -1 alters the x-coordinates, but leaves the y-coordinates alone. The image point is as far horizontally from the reflection line as the pre-image point is.
Each new x-coordinate is the old one subtracted from twice the x-value of the line of reflection:
(x, y) ⇒ (-2-x, y)
U(-8, -6) ⇒ U'(6, -6)
V(-3, -6) ⇒ V'(1, -6)
W(-4, -1) ⇒ W'(2, -1)
please help me solve this anyone! plz don’t guess just for points this was due a few weeks ago and i have to have good grade
Answer:
[tex] - 23[/tex]
Step-by-step explanation:
Substitute -3 for X in the expression then solve.
Answer:
-23
Step-by-step explanation:
They give us the variable's value, which is [tex]x=-3[/tex]. All we have to do from here is plug it into the expression that they gave us!
So, let's do exactly that! The expression that they gave us is [tex]5x-8[/tex], and we know the value of x because they gave it to us!
Let's plug it in.:
[tex]5(-3)-8[/tex]
Let's follow P.E.M.D.A.S. and our order of operations to determine what to do first. Since we have multiplication going on within parenthesis, let's do that first.
[tex]5(-3)=-15[/tex] because a negative number times a positive number equates to a negative number. Now, we have the following expression: [tex]-15-8[/tex]
Let's subtract this now! Remember, subtracting a number from another number is basically adding the opposite of the second number; essentially, you're following keep, change, flip. You keep the first number without doing anything to it, you change the sign of the operation, and you flip the sign of the 2nd number. Let's revise this problem now with these rules.: [tex]-15 + (-8)[/tex], now we have something that we can work with! Since both numbers are negative and are being added, we keep the sign, and just add their absolute value, leaving us with the expression being -23.
Dario spends 3 1/2 hours on the phone with technical support and pays $10. What is his unit rate?
Answer:
20/7 dollars per hour
Step-by-step explanation:
He pays 10 dollars per 3 1/2 hours. To find the unit rate, we divide the two.
10 / (3 1/2) =
10 / (7/2) =
(10/1) x (2/7) =
20/7
A basketball player makes 65% of all free throws
in her first 5 seasons. In her 6th season she
makes 105 out of 150 free throws. How does the
observed frequency of her 6th season compare
to the expected frequency? Provide a possible
explanation for any similarities or differences in
the frequencies. 7.50.3.7
Answer: The relative frequency of an event is the ratio of the number of times an event happens to the number of times the event is attempted. Relative frequencies are often used in decision making and to predict outcomes. Relative frequencies are based on data previously collected and recorded. Probabilities are based on assumptions.
75 •
.75 =
.5625
.75 •
.75 •
.75 =
.4219
(i'm sorry if i'm wrong)
Big points and Brainliest look at the attachment pretty ez
Answer:
D. 2 1/4
Step-by-step explanation:
(99/8)/(11/2)
(99/8)*(2/11)
(9/4)*(1/1)=9/4
9/4=2+1/4
9 lb 4 oz - 2 lb 12 oz with regrouping
Answer:
6 LB 12 OZ
Step-by-step explanation:
16 OZ in a LB
9 LB - 2 LB = 7 LB
4 OZ - 12 OZ difference of 8 OZ
4 - 4 = 0 then 16 OZ in a LB
4 remaining - 16 = 12 dropping the 7 LB to 6 LB
Answer:
6lb 8oz
Step-by-step explanation:
9lb 4oz
+16
8lb 20 oz
-2 lb 12oz =
Find the value of x → x² = (Q - A)(Q - B)(Q - C) ….. (Q - Z)
Answer:
[tex]\boxed{0}[/tex]
Step-by-step explanation:
x² = (Q - A)(Q - B)(Q - C) ... (Q - Z)
x² = (Q - A)(Q - B)(Q - C) ... (Q - P)(Q - Q)(Q - R) ... (Q - Z)
x² = (Q - A)(Q - B)(Q - C) ... (Q - P)(0)(Q - R) ... (Q - Z)
x² = 0
x = 0
Answer:
t8y8 uv7g7 ug8 ugy ug h 7 v jvu utyc7 . hit u ut taj h
Step-by-step explanation:
fucjvjvi j jvu jvivu igigi ivigi iigihi ivigi igih
Which statements describe one of the transformations performed on f(x) =x^2 to create g(x)=2x^2+5?
A: A translation of 5 units to the right
B: A vertical stretch with a scale factor of 1/2
C: A vertical stretch with a scale factor of 2
D: A translation of 5 units up
Answer:
do u know the answer ik it's five units up but that it
Answer: a vertical stretch with a scale factor of 2. and a translation of 5 units up.
Step-by-step explanation:
Use the ALEKS graphing calculator to solve the system of equations.
y=-2x² - 4x-1
y = 3x+10
Round to the nearest hundredth.
If there is more than one solution, use the "or" button.
If applicable, click on "No solution".
(x, y) = (0
or
No
Solution
X
$
?
Answer:
This system has no solution in the set of real numbers.
Answer:
No solution
Step-by-step explanation:
The equations given are ;
y=-2x² - 4x-1
y = 3x+10
Using a graphing tool, the graphs of the equations are as shown in the attached.
From the graph, a solution occurs where the two graphs intersect. However, in this case, the graphs do not intersect hence there is no solution.
Fred, Norman, and Dave own a total of 128 comic books. If Dave owns 44 of them, what is the average
(arithmetic mean) number of comic books owned by Fred and Norman?
Answer:
[tex]Mean = 42[/tex]
Step-by-step explanation:
Given
Represent Fred with F; Norman with N and Dave with D.
[tex]Total = 128[/tex]
[tex]D = 44[/tex]
Required
Determine the arithmetic mean of F and N
First, we have that:
[tex]F + N + D = 128[/tex]
Substitute 44 for D
[tex]F + N + 44 = 128[/tex]
Subtract 44 from both sides
[tex]F + N + 44 - 44 = 128 - 44[/tex]
[tex]F + N = 84[/tex]
Arithmetic mean of F and N is calculated as follows:
[tex]Mean = \frac{F + N}{2}[/tex]
[tex]Mean = \frac{84}{2}[/tex]
[tex]Mean = 42[/tex]
A toy marks down every toy by 25% in January. Use p for the price in December to write an expression of the price in January?
Answer: since the toy is marked down 15%,
you do p*.85
to find the remaining cost
Step-by-step explanation: I got this from a friend. But I hope this helps! <3
Lisa is playing a video game in which she takes care of cats and dogs. She takes care of 4 cats for every 1 dog. If Lisa takes care of 12 cats in the game, how many animals dose she take care of altogether?
Find the area of the shape shown below
Answer:
26.75 units²
Step-by-step explanation:
Decomposing the figure given to us we would have 3 triangles of different dimensions and 1 square.
Find the area of each then sum all together to get the area of the figure.
✔️Area of Triangle 1 (the biggest triangle):
Area = ½*base*height
height = 3.5
base = 2 + 2 + 5 = 9
Area = ½*9*3.5 = 15.75 units²
✔️Area of Triangle 2 (the medium triangle):
Area = ½*base*height
height = 2
base = 5
Area = ½*5*2 = 5 units²
✔️Area of Triangle 3 (the smallest triangle):
Area = ½*base*height
height = 2
base = 2
Area = ½*2*2 = 2 units²
✔️Area of the square:
Area = s²
s = 2
Area = 2² = 4 units²
✅Area of the figure = 15.75 + 5 + 2 + 4 = 26.75 units²
please help with this question (d+2)(-7)
Answer:
-7d-14
Step-by-step explanation:
First, let's distribute -7 to (d+2)
-7xd
-7x2
We will get -7d-14
2(3j + 3) = 3(2 + 2j)
Answer:
infinitely many solutionsthe solution is any real number[tex]\huge\boxed{j\in\mathbb{R}}[/tex]
Step-by-step explanation:
[tex]2(3j+3)=3(2+2j)\qquad|\text{use the distributive property}\\\\(2)(3j)+(2)(3)=(3)(2)+(3)(2j)\\\\6j+6=6+6j\qquad|\text{subtract}\ 6j\ \text{from both sides}\\\\6=6\qquad\bold{TRUE}\\\\j\in\mathbb{R}[/tex]
Solve me this please
X=33500+0,2Y
Y=26500+0,1X
Answer: X= 108125 and Y = 373125.
Step-by-step explanation:
Given system :
[tex]X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)[/tex]
Consider (ii)
[tex]Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500[/tex]
Multiply 10 on both sides , we get
[tex]10Y-X=265000 (iii)[/tex]
Add (i) and (iii)
[tex]10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125[/tex]
Put this in (i)
[tex]X= 33500+0.2(373125) =108125[/tex]
Hence, X= 108125 and Y = 373125.
i need a step by step explanation
Answer:
1/2c-4
Step-by-step explanation:
First, you distribute the fraction on the outside to the numbers inside of the parenthesis. So, you distribute 1/2 to c, which gives you 1/2 x c = 1/2c. Then, you distribute the 1/2 to -8, which gives you 1/2 x -8 = -4. You combine these expression together and get your final answer as 1/2c-4.