The difference between a number x and 12 is 16?

Answers

Answer 1
Answer:

Answer:

x equals 28

Step-by-step explanation:

16 + 12 = x because


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What the area of the polygon below

Answers

Answer:

i how are you

Step-by-step explanation:

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected, and their weights at birth are recorded as:
9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds.
If Alpha = 0.05,
1. What is the critical t-value?
2. What is the decision for a statistically significant change in average weights at birth at the 5% level of significance?

Answers

Answer:

1. Critical value t=±2.447

2. The null hypothesis is failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the birth weight significantly differs from 6.6 lbs.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the birth weight significantly differs from 6.6 lbs.

Then, the null and alternative hypothesis are:

H_0: \mu=6.6\n\nH_a:\mu\neq 6.6

The significance level is 0.05.

The sample has a size n=7.

The sample mean is M=7.56.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=1.18.

The estimated standard error of the mean is computed using the formula:

s_M=(s)/(√(n))=(1.18)/(√(7))=0.446

Then, we can calculate the t-statistic as:

t=(M-\mu)/(s/√(n))=(7.56-6.6)/(0.446)=(0.96)/(0.446)=2.152

The degrees of freedom for this sample size are:

df=n-1=7-1=6

For a two-tailed test with 5% level of significance and 6 degrees of freedom, the critical value for t is ±2.447.

As the test statistic t=2.152 is under 2.447 and over -2.447, it falls in the acceptance region, so the effect is not significant. The null hypothesis is failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the birth weight significantly differs from 6.6 lbs.

Sample mean and standard deviation calculations:

M=(1)/(n)\sum_(i=1)^n\,x_i\n\n\nM=(1)/(7)(9+7.3+6+. . .+6.6)\n\n\nM=(52.9)/(7)\n\n\nM=7.56\n\n\ns=\sqrt{(1)/(n-1)\sum_(i=1)^n\,(x_i-M)^2}\n\n\ns=\sqrt{(1)/(6)((9-7.56)^2+(7.3-7.56)^2+(6-7.56)^2+. . . +(6.6-7.56)^2)}\n\n\ns=\sqrt{(8.32)/(6)}\n\n\ns=√(1.39)=1.18\n\n\n

If f(x)=1-x^2+x^3, then f(-1)=

Answers

Answer:

Well, we know that there exists a function f(x) such that f(x-1) is a direct transformation of its parent function. First we want to set x=x-1. Conceptually, it might be easier just to annotate one of the x’s as a completely different variable, because we know that x doesn’t equal x-1. So let’s rewrite as x=y-1 and solve for y.

We now have y=x+1 where y(x) is actually our parent function and y(x)=f(x+1). So take our equation f(x-1) and substitute each x with (x+1). So f(x)=2(x+1) + 3

f(x)= 2x + 5. We can check this by finding f(x-1) because it should equal 2x+3.

f(x-1)= 2(x-1) + 5

f(x-1)= 2x + 3.

Hoped I helped

Esteban bought a new stove for $986 on his credit card. He used the stove for eleven years before replacing it. The stove cost him an average of $0.14 per day in electricity. Esteban had preventive maintenance done on the stove, costing $24.25 each year for the eleven years. Esteban’s credit card has an APR of 9.26%, compounded monthly. He paid off his balance by making identical monthly payments for five years. Sales tax in Esteban’s area is 8.22%. Assuming that Esteban made no other purchases or payments with his credit card, what was the lifetime total cost of the stove? (Assume that two of the years Esteban had the stove were leap years, and round all dollar values to the nearest cent.) a. $2,534.57 b. $2,166.53 c. $2,234.23 d. $2,064.53

Answers

5 years repayment 11 years maintenance and electricity cost of $24.25

and $0.14, makes the total lifetime cost of the stove b. $2,166.53.

How can the total cost of the stove be calculated?

The cost of the stove = $986

Daily electricity cost = $0.14

Maintenance cost per year = $24.25

Annual Percentage Rate, APR, on the credit card = 9.26%

Number of years the balance was paid off = 5 years using identical monthly payments

Sales tax = 8.22%

Required:

Lifetime total cost of the stove

Solution:

Monthly \ payment, \ M = \mathbf{(P \cdot \left((r)/(12) \right) \cdot \left(1+(r)/(12) \right)^n )/(\left(1+(r)/(12) \right)^n - 1)}

Where;

r = 0.0926

n = 12 × 5 = 60

P = 1.0822 × $986 = $1,067.0492

Which gives;

Monthly \ payment, \ M = \mathbf{(1,067.0492 * \left((0.0926)/(12) \right) \cdot \left(1+(0.0926)/(12) \right)^(60) )/(\left(1+(0.0926)/(12) \right)^(60) - 1)} \approx 22.29

Payment for the purchase ≈ 60 × $22.29 = $1337.4

Amount paid as electricity bill = $0.14 × 365 + 2 × $0.14 = $562.38

The maintenance cost = 11 × $24.25 = $266.75

Which gives;

  • Total stove cost ≈ $1,337.4 + $562.38 + $266.75 = $2,166.53

The selection that gives the total cost is the is the option;

b. $2,166.53

Learn more about payment for a loan here:

brainly.com/question/1393296

Answer:

2166.53

Step-by-step explanation:

Price x 1.0822 = 1067.0492 <Price with tax

P= PV x i / 1- (1+i)^-n

^ x (identical monthly payments for 5 years aka 12 x 5)

average cost for electricity x (365 x years aka 11)

cost for maintenance x 11

Add all 3 answers

=2166.53

A pair of flip flops is $30. How much will they cost after a 20% discount and 6.5% tax?

Answers

Answer:

25.56

Step-by-step explanation:

30 divided by 4 is 6 so 30- 6=24

6.5% of 24=1.56 sooooo           24+1.56=25.56

Answer:

$6.39

Step-by-step explanation  

well, 20% of $30 is $6, so then you just have to add on the tax, which is 39 cents, coming to $6.39

A rectangular block has a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. Four blocks are stacked to create a tower. What is the volume of the tower? O A. 56 in 3 O B. 140 in 3 O C. 280 in O D. 336 in

Answers

The volume of the tower is 224 in³, which is not listed among the given options.

To find the volume of the rectangular block, we need to multiply its length, width, and height. Therefore, the volume of the single block is:
8 x 3.5 x 2 = 56 cubic inches.
Since we are stacking four blocks to create a tower, we need to multiply the volume of a single block by 4.

Thus, the volume of the tower is:
56 x 4 = 224 cubic inches.
The volume of a rectangular block can be found using the formula,

V = length × width × height.

In this case, the length is 8 inches, the width is 3.5 inches, and the height is 2 inches.

V = 8 × 3.5 × 2 V

= 28 × 2 V

= 56 in³

Now that we know the volume of one block, we can find the volume of the tower created by stacking four blocks. Tower volume = block volume × number of blocks Tower volume = 56 in³ × 4 Tower volume = 224 in³

For similar question on volume:

brainly.com/question/1578538

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