Answer: 23
Step-by-step explanation: because you subtract
The human resources department of an engineering company gives IQ tests to a randomly selected group of new hires every year. They claimed that the mean IQ score of new hires, , from this year is greater than or equal to the mean IQ score of new hires, , from last year. This year, 95 new hires took the test and scored an average of 112.2 points with a standard deviation of 14.0 . Last year, 70 new hires took the IQ test and they scored an average of 117.8 points with a standard deviation of 14.5 . Assume that the population standard deviation of the IQ scores from the current year and the last year can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. Is there enough evidence to reject the claim of the human resources department, at the 0.01 level of significance
Answer:
Step-by-step explanation:
Null hypothesis: [tex]\mathbf{H_o: \mu_1 \ge \mu_2}[/tex]
Alternative hypothesis: [tex]\mathbf{H_o: \mu_1< \mu_2}[/tex]
This type of test statistic is a z test statistics
1st 2nd
Sample mean x = 112.2 117,8
Standard deviation σ = 14.0 14.5
Sample size n = 95 70
Point estimate [tex]\bar x_1 - \bar x_2[/tex] = -5.60
Standard error [tex]\sigma_{x_1-x_2}= \sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2} }[/tex]
[tex]= \sqrt{\dfrac{14.0^2}{95} +\dfrac{14.5^2}{70} }[/tex] = 2.2509
Test statistics [tex]z=\dfrac{x_1 - x_2}{\sigma_{x_1-x_2}}[/tex] [tex]=\dfrac{112.2- 117.8}{2.2509}[/tex] = - 2.4878
P-value = 0.012
No, there is no enough evidence Since p-value is greater than 0.01.
please please help me figure this out!!
Answer:
154
Step-by-step explanation:
180-26= 154
Supplementary angles equal 180
Ms. Phillips ordered 56 pizzas for a school fundraiser. Of the pizzas ordered of them were pepperoni, 19 were cheese, and the rest were veggie pizzas. What traction of the pizzas was veggie?
Answer:
i dont know
Step-by-step explanation:
Greg spent $47.45 on five books. If each book cost the same amount, how much does one book cost?
Answer:
Greg spent 9.49 cents on the book
The cost of one book is A = $ 9.49
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the cost of 5 books be = $ 47.45
Now , the cost of one book is A
where A = 47.45 / 5
On simplifying the equation , we get
A = $ 9.49
Hence , the cost is A = $ 9.49
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Lesson 1 Homework Practice Solving Equations with Rational Coefficients answers
Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. 25% of accidents in foggy conditions result in death, 12.5% of accidents in rainy conditions result in death, and 5% of accidents in sunny conditions result in death. Sunny conditions occur 60% of the time, while rainy and foggy conditions each occur 20% of the time. What is the probability that and accident results in a death?
Answer:
0.105 = 10.5% probability that an accident results in a death.
Step-by-step explanation:
What is the probability that an accident results in a death?
5% of 60%(sunny)
25% of 20%(foggy)
12.5% of 20%(rainy)
So
[tex]p = 0.05*0.6 + 0.25*0.2 + 0.125*0.2 = 0.105[/tex]
0.105 = 10.5% probability that an accident results in a death.
The probability that an accident results in a death is 0.105 = 10.5%
Given :
25% of accidents in foggy conditions result in death.
12.5% of accidents in rainy conditions result in death
5% of accidents in sunny conditions result in death
"Probability"
The probability that an accident results in a death
5% of 60%(sunny)25% of 20%(foggy)12.5% of 20%(rainy)Probability =0.05*0.6+0.25*0.2+0.125*0.2
Probability =0.105
Probability =10.5%
The probability that an accident results in a death is 10.5%.
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H.E.L.P W.H.A.T.S
Brian jogged 2 miles in 30 minutes. At this rate, how many miles will he jog in 2 hours?
4 miles
8 miles
6 miles
10 miles
Answer:
8miles
Step-by-step explanation:
If Brian jogged 2 miles in 30 minutes, this is expressed as;
2miles = 30minutes
To calculate the distance covered in 2hrs, we can say
x miles = 2hrs (120minutes)
Divide both expressions
2/x = 30/120
Cross multiply
30x = 2 * 120
30x = 240
x = 240/30
x = 8
hence he covers 8miles in 2hrs
Smallest number to the largest number 0.078,0.78,0.87,0.708
Answer:
Smallest: 0.078, 0.708, 0.78, 0.87 :Largest
Step-by-step explanation:
1) The diameter of a circle is 7.5. Find the circumference to the nearest
tenth. Show all work *
Your answer
Answer:
Step-by-step explanation:circumference = pi x diameter.
Using 3.14 for pi
Circumference = 3.14 x 7.5 = 23.55
Rounded to the nearest tenth = 23.6
The circumference of the circle with a diameter of 7.5 is, C = 23.6
Used the concept of the circumference of the circle that states,
The circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. The formula used to calculate the circumference of the circle with radius 'r' is,
C = 2πr
Given that,
The diameter of a circle is 7.5.
Hence, The radius of a circle is,
7.5/2 = 3.75
So, The circumference of the circle with a radius of 3.75 is,
C = 2 × 3.14 × 3.75
C = 23.55
Rounded to the nearest tenth,
C = 23.6
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Simplify -3x + 2y + x - y
Answer:
-2x+y
Step-by-step explanation:
the sum of the three sisters' ages is 51. If ava is 6 years older than
Camila, and Camila is twice as old as Luna, what are the ages of the
three sisters?
Create an equation with only one variable.
9514 1404 393
Answer:
Luna is 9Camila is 18Ava is 24Step-by-step explanation:
We can express all of the ages in terms of Luna's age. Letting L represent Luna's age, we have ...
Luna's age: LCamila's age: 2LAva's age: 2L +6The total of their ages is then ...
L +2L +(2L+6) = 51 . . . . an equation with one variable
5L = 45
L = 9
Luna is 9, Camila is 18, and Ava is 24.
what is 6 10th in simplest form
Answer:
3/5ths
Yw :)
Answer:
3 / 5 (three - fifths)
Step-by-step explanation:
6 / 10 =
Divide both the top and bottom by 2.
3 / 5
Because 3 and 5 are prime numbers (5 can only be divided by 1 and 5, and 3 can only be divided by 1 and 3), this is the most simplified form.
Which function is shown in the graph below?
10
8
.
.4
0.5, 0.4(1.0)
ᎨᎲᎢ
4
0
8
-2
1-4
1-3
-10
Answer:
square root function is the correct answer
The solution is, y = 2 ^ (x + 2) +3, is the function is shown in the graph below.
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
For this case we observe the cut point with the y axis in:
(0, 7)
The function that complies with this is:
y = 2 ^ (x + 2) +3
We have then:
y = 2 ^ (0 + 2) +3
y = 2 ^ (2) +3
y = 4 + 3
y = 7
Answer:
The answer for this case is given by:
y = 2 ^ (x + 2) +3
option 2
Hence, The solution is, y = 2 ^ (x + 2) +3, is the function is shown in the graph below.
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Find the slope of the line that passes through (3, 7) and (1, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
You deposit 5000 into an account that earns 4.3% annual interest compounded continuously. How long will it take for your investment to double? Round answer to the nearest hundredth.
Answer:
it would take 215 dollars a year so it would take 23.3 years
(2x -3) + (4c + 20) i need help
Answer:
=2x+4c+17
Step-by-step explanation:
(2x-3)+(4c+20)
=2x-3+4c+20
=2x+4c-3+20
=2x+4c+17
HELP PLEASE PLEASE PLEASE
assistance with trying to figure out how to solve this question.
Answer:
137.24 mm²
Step-by-step explanation:
Big square = 9x9=81
Small rectangle at bottom = 2x3=6
Quarter Circle = 1/4(3.14)(8)(8)=50.24
81+6+50.24=137.24
If m= 3 in the equation 2m=4-n, find the value of n.
Answer:
-2
Step-by-step explanation:
Greg feeds his dog 2/3 pounds of dog food for each meal. Greg has just bought 18 pounds of dog food. For how many meals will the food last? Write your answer in simplest form
x2-12x-3=10 please help
Answer:
x= 13, -1
Step-by-step explanation:
What is the length of side a?
Answer:
do provide the figure dude.
which statement regarding the number of solutions for the linear equation shown below is true?
1/4x - 13 = 1/4(x + 13)
Answer: There is no solution.
Answer:
There is no solution
Step-by-step explanation:
Number 3 answered please
Answer:
Step-by-step explanation:
n=3p, d=p-2
10d+5n+p=110 using n and d from above makes this become
10(p-2)+5(3p)+p=110
10p-20+15p+p=110
26p-20=110
26p=130
p=5
n=3p=3(5)=15
d=p-2=5-2=3
So she has 3 dimes, 15 nickels, and 5 pennies.
Create a model to show that 2(2x + 3y) = 4x + 6y
Pls
Answer:
0=0
Step-by-step explanation:
2(2x + 3y)=4x+6y
4x+6y=4x+6y
4x+6y-6y=4x+6y-6y
4x=4x
4x-4x=4x-4x
0=0
True for all
Jessie started a record collection with 8 records. Each week he added 3 records to his collection. Riley started her record collection with 23 records. Each week she gave away 2 records.
a) Write an equation to represent the number of records in Jessie's collection based on the number of weeks he has been collecting records.
3 per week + blank=8 Step-by-step explanation: brainly plz
Find the lateral surface area of the cylinder. Round your answer to the nearest hundredth.
A)
315.04 in 2
B)
370.62 in2
C)
395.84 in 2
D)
408.92 in 2
Answer:
C) 395.84 in^2
Step-by-step explanation:
I took the test
Fran’s snowmobile weighs 0.8 ton. The weight of the snowmobile is
pounds
Answer: 0.8 ------ 1,600
Step-by-step explanation:
Jim finished baking cookies at 9:31 AM.
He started at 5:19 AM.
How long was he baking cookies?
[hour(s) and minute(s)
S
Answer:
Jim was baking for 4 hrs, 16 mins
Step-by-step explanation:
9:31
-
5:19
=
4:16
please show all work i’ll mark brainliest
Answer:
Step-by-step explanation:
Draw a picture to see that the radius must be 7.
