The equation of a function is
y = 12x - 7. What is the output when the input is 5?
A. 50
B. 53
C. 56
D. 60
The difference of sixteen and four is greater than ten
Write the sentence as an equation
16-4>10
Difference means subtracting
Consider the following hypothesis test: H 0: 50 H a: > 50 A sample of 50 is used and the population standard deviation is 6. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. a. With = 52.5, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select b. With = 51, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select c. With = 51.8, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select
Answer:
Part a:
The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.
Part b:
The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.
Part c:
The calculate value of Z = 2.1213 lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.
Step-by-step explanation:
Data as given
H 0: μ ≤ 50 against the claim H a: μ> 50 one tailed test
Z (0.05)= ± 1.645
Sample size n= 50
Using the central limit theorem
Population Standard Deviation= σ=s=6
X= 52.5 , 51 and 51.8
Part a:
Z= x-μ/ s/ √n
Z= 52.5- 50 / 6/ √50
Z= 2.5/0.84853
z= 2.946
The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.
Part b:
Z= x-μ/ s/ √n
Z= 51- 50 / 6/ √50
Z= 1/0.84853
z= 1.17851
The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.
Part c:
Z= x-μ/ s/ √n
Z= 51.8- 50 / 6/ √50
Z= 1.8/0.84853
z= 2.1213
The calculate value of Z = 2.1213 lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.
ASAP!!!! HELP!!!! Will mark you brainliest
Answer:
f(1) = 2
Step-by-step explanation:
Since f(x) = x^4 + 4 x^3 + 5 x^2 - 4 x - 4
When we evaluate this for x = k = 1, we replace x with the value 1 as shown below:
f(1) = 1^4 + 4 * 1^3 + 5 * 1^2 - 4 * 1 - 4 = 1 + 4 + 5 - 4 - 4 = 10 - 8 = 2
Fill in the blanks. See picture and give answers please as quickly as possible.
(5.25) An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree days, where a day's degree-days are the number of degrees its average temperature falls below 65 degrees F) over a 23-month period. He then computed the least-squares regression line for predicting y from x and found it to be
This question is incomplete, the complete question is;
An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree-days, where a day's degree-days are the number of degrees its average temperature falls below 65oF) over a 23-month period.
He then computed the least-squares regression line for predicting y from x and found it to be: y^=80+16x.
How much, on average, does gas used increase for each additional degree-day?
Answer : ______ cubic feet.
(Give your answer as a whole number.)
Answer:
Amount of natural gas used increased by 19 cubic feet.
Step-by-step explanation:
Given the data in the question;
Let the dependent variable y be the amount of natural gas used ( ft³ )
Also let an independent variable x be be the degree days temperature ( in °F)
So the least squares regression equation is;
[tex]y^{bar}[/tex] = 80 + 16x
or
amount_of_natural_gas_used = 80 + 16(degree_days_temperature
Th slope or the standardized regression coefficient of the given regression equation is;
b₁ = 16
the slope coefficient b₁ = 16 is tells us that for each additional one-degree days temperature, an amount of natural gas used increased by 19 cubic feet.
Therefore, amount of natural gas used increased by 19 cubic feet.
A jar contains n nickels and d dimes. There are 22 coins in the jar and a total value of the coins is $1.50. How many nickels and how many dimes are in the jar?
Answer:
1.50 + 22
Step-by-step explanation:
23.5
Answer:
12 nickels. 9 dimes
Step-by-step explanation:
12 nickels is equal to 60 cents
9 dimes equals 90 cents
90 plus 60 equals 150 which is $1.50
what do i do with this
Answer: you should plot it a -3.2
Step-by-step explanation:
Using your answer from #3, how many hours will
Victoria need to babysit if she raises her hourly
charge to $15 per hour and she still wants to
earn at least $75?
Answer:
5 hours cuz 75 divided by 15 is 5 or 15 x 5 is 75
A. 504 units(squared)
B. 436,8 units(squared)
C. 218 units(squared)
D. 283,2 units(squared)
Answer:
D. 283.2 units²
Step-by-step explanation:
Surface area of the triangular prism = 2×Base Area + Perimeter of triangular base×height of prism
Base Area = ½*bh
b = 6 km
h = 5.2 km
Base area = ½*6*5.2 = 15.6 km²
Perimeter of triangular base = 6+6+6 = 18 km
Height of prism = 14 km
Plug in the values into the equation
Surface area of triangular prism = 2×15.6 + 18×14
= 31.2 + 252
= 283.2 km²
What is the value of -5 4/5 + 7 1/3 write your answer as an improper fraction
Answer:
[tex]\frac{193}{15}[/tex]
Step-by-step explanation:
Here
Please help me I’ll mark brainless .
Write
360 000 in standard form.
Answer:
300 + 60 + 000
Step-by-step explanation:
Just break these up easy answer. Your welcome :)
Somebody please help pleaseeeee I’ll make brainlest please help anybody .
Answer:
C Is The Correct Answer
help pls i'll give brainliest, are they inverses or not explain why or why not
I need help plz ❤️️️
Answer:
x= 273
Step-by-step explanation:
Answer:
273
Step-by-step explanation:
3549/13=23
(Hope this helps u and u get it correct!)
-AestheticSnowy
work out yhe value of 6.105×10^8/3.7×10^3 give your answer in standard form
what's 2 + 2?
plzzzzzz help
Answer:
4 ;)
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
PLEASE HELP MATH MIDTERM
Find the measure of angle A. Round only your final answer to the nearest hundredth.
Answer:
73.74 degrees
Step-by-step explanation:
Which figure best represents a rhombus?
Answer:
it's the second one a rhombus is a diamond
. The scatterplot shows the time spent playing a video game and the number of points scored by several students. Video Game 1,350 1,200 1,050 900 Number of Points Scored 750 600 450 300 150 0 5 10 15 20 25 30 35 40 45 Time (minutes) Based on the scatterplot, which is the best prediction of the number of points scored by a student who spends 45 minutes playing the video game?
Answer:
c is the answer
Step-by-step explanation:
is the not maybe
8 ÷ one third = ___. one twenty fourth alt=twenty four twenty fourths 24 48
Answer:
Twenty four (24)
Step-by-step explanation:
8 ÷ one third
one third = 1/3
8 ÷ 1/3
= 8 × 3/1
= 24/1
= 24
Pick the object that matches this description:
The object is a square with an equilateral triangle Inside of it. One side of the
square is also a side of the triangle.
A.
B.
C.
11. The coordinate grid shows points P, Q, R, and S. All the coordinates for these points
are integers.
What is the value of the x-coordinate of point P?
Answer:
-6
Step-by-step explanation:
Answer: -6
Step-by-step explanation:
Please please help!! I really need help on this question
Answer:
They purchased 20 ounces of candy total
Step-by-step explanation:
just add 12 + 8
=20 ounces
2. What is the
meaning of the
slope in this
situation?
Answer: The value of the intercept represents the predicted highway mileage for gas city mileage of 0 mpg, and such a prediction would be invalid, since 0 is outside of the range of data.
Step-by-step explanation:
Answer:
The meaning of slope is like the middle number.
The solving equation for the slope is
y2-y1 and x2-x1
Step-by-step explanation:
20 POINTS
look at the rectangle below. the sum of the measures of the 3 interior angles of any triangle is always 180° . What is the measure of
A - 30°
B - 45°
C - 60°
D - 120°
Answer: i think its 30°
Step-by-step explanation:
Of people who died in the United States in recent years, 86% were white, 12% were black, and 2% were Asian. (This ignores a small number of deaths among other races.) Diabetes caused 2.8% of deaths among whites, 4.4% among blacks, and 3.5% among Asians. The probability that a randomly chosen death is a white person who died of diabetes is about:____
Answer:
The probability that a randomly chosen death is a white person who died of diabetes is of 0.0241 = 2.41%.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: The person is white
Event B: Died of diabeters.
Of people who died in the United States in recent years, 86% were white
This means that [tex]P(A) = 0.86[/tex]
Diabetes caused 2.8% of deaths among whites
This means that [tex]P(B|A) = 0.028[/tex]
The probability that a randomly chosen death is a white person who died of diabetes is about:
This is [tex]P(A \cap B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(B|A)*P(A) = 0.028*0.86 = 0.0241[/tex]
The probability that a randomly chosen death is a white person who died of diabetes is of 0.0241 = 2.41%.
The value of 2^3 + 3^3 = .
Answer: (2^3) + 3^3
2^3 + 3^3
35
Step-by-step explanation:
you most likely just have to add 8 and 27 together im guessing
What is the surface area of the solid...?