Compute please help

Answer:

Explained below.

Step-by-step explanation:

The information provided is as follows:

[tex]\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9[/tex]

(1)

A single mean test is to be performed in this case.

As the population standard deviation is not provided, a one-sample t-test will be used.

The correct option is b.

(2)

The null hypothesis is:

H₀: The average temperature in the population is 98.6°F, i.e. μ = 98.6°F.

The correct option is b.

(3)

The alternative hypothesis is:

Hₐ: The average temperature in the population is less than 98.6°F, i.e. μ < 98.6°F.

The correct option is c.

(4)

The standard deviation of the sample mean is as follows:

[tex]SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F[/tex]

Thus, the value of SD is 0.3°F.

(5)

Compute the value of test statistic as follows:

[tex]t=\frac{\bar x-\mu}{SD_{\bar x}}[/tex]

  [tex]=\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67[/tex]

Thus, the value of test statistic is -1.67.

(6)

The degrees of freedom of the test are:

df = n - 1

   = 9 - 1

   = 8

Thus, the degrees of freedom of the test is 8.

Testing the hypothesis, it is found that:

1. e. a t-test because the SD of the population is unknown.

2. B. That the average temperature in the population is 98.6.

3. C. That the average temperature in the population is less than 98.6.

4. The standard error is of 0.3.

5. The test statistic is t = -1.67

6. There are 8 df.

We have the standard deviation for the sample, hence, a t-test should be used.

At the null hypothesis, it is tested that the average body temperature among all healthy adults is of 98.6ºF, hence the answer to question 2 is b.

At the alternative hypothesis, it is tested if the average is lower, hence, the answer to question 3 is C.

In this problem:

The standard error is of:

[tex]s_e = \frac{0.9}{\sqrt{9}} = 0.3[/tex]

The test statistic is:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 98.6[/tex] is the value tested at the null hypothesis, hence:

[tex]t = \frac{98.1 - 98.6}{0.3}[/tex]

[tex]t = -1.67[/tex]

The amount of degrees of freedom is one less than the sample size, hence there are 8 df.

A similar problem is given at https://brainly.com/question/13873630

A,C,D

(going top left to bottom right)

(a) b

(c) (d)

e f

Answer:

He spent $2.25.

Step-by-step explanation:

Multiply $9 by 3/4 and we get $6.75.

Now subtract $6.75 from $9.

We get $2.25

Answer:

Step-by-step explanation:

Given relation

Its range is the set of second values in the pairs

In the ascending order

Answer:

{-4, -2, 2}

Step-by-step explanation:

The relation is {(3, -2), (1, 2), (-1, -4),(-1, 2)}

The range is all possible y values apart from any duplicates.

y = -2, 2, -4, 2

Removing all duplicates we get.

y = -2, 2, -4

Put them in order.

y = -4, -2, 2

Best of Luck!

Answer: A

Step-by-step explanation:

The y intercept is positive 1, so it’s not C or D

The slope is positive because it’s going up from left to right so it’s not B

Answer:

A.$12

B.$4.5

C.4.5$ per game + 12$

Step-by-step explanation:

It shows the first payment being 12$ so A is 12$

then it goes up to 16.5$ so

16.5-12= 4.5$

So 4.5$ per game.

C. 4.5$ per game + 12$

Answer:

g+12/4

Step-by-step explanation:

x = 3

y = 1

Hi !

6x - 5y = 13

9y - 15 + 2x = 0

6x - 5y = 13

2x + 9y = 15 | ×(-3)

6x - 5y = 13

- 6x - 27y = - 45

add

6x - 6x - 5y - 27y = 13 - 45

- 32y = - 32 | ×(-)

32y = 32

y = 1

replace y = 1

6x - 5(1) = 13

6x - 5 = 13

6x = 13 + 5

6x = 18

x = 3

Good luck !

Answer:

it was right but ok

Step-by-step explanation:

First find the total number

6+4+5+3 = 18

6th graders : total

4 : 18

Divide each side by 2

4/2:   18/2

2 : 9

Answer:

multiply

Step-by-step explanation:

Answer:

A scientific calculator costs $3.50 today. I remember when they cost about $75. What is the percent decrease in the price of a scientific calculator?

In other words: The decrease in price is what percent of the original price?

% Decrease= (Decrease in price(New price-Old Price))/(Original Price(old price))×100

Answer:

m> -3

Step-by-step explanation:

m-6 > - 9

you use inverse opperations and you add six to the other side.

m-6 > - 9

+6       +6

m > -3

Answer:

total no. of possibilities =20

Step-by-step explanation:

probability of $20 bill=4/20=1/5

probability of $10 bill=6/20=3/10

probability of $5 bill=8/20=2/5

Answer: X= 570

Step-by-step explanation:

      X

  _____         = 19

15   +   15  

Multiply both sides by 30

      30X

  _____         = 19 x 30

15   +   15  

Simplify

x=570

Answer:

B

Step-by-step explanation:

Answer:

k' = (-3,0)

j' = (0,5)

l' = (-3,3)

Step-by-step explanation:

if you reflected over the x- axis

then the y points would would change to the opposite

k = (-3,0)

j = (0,-5)

l = (-3,-3)

Answer:

They are both exactly the same

Step-by-step explanation:

1.30000000000000000000000

is the same as

1.3

the 0s dont matter unless they are not at the end

Answer:

1,289 divided by 22 is 58 r13

Step-by-step explanation:

Answer:

Explained below.

Step-by-step explanation:

When drawing line of symmetry on a figure and reflecting, we have to know that pairs of segments in that figure must have the same length while pairs of angles must have the same measurement. This is to ensure that half of that figure must concise with the other half part of it when that figure is folded across a line of symmetry.

Answer:

D. 9.1 – 10 = 0.2x

Step-by-step explanation:

I got it right

The odd equation with a different value is equation d

Data;

To solve this problem, we have to solve each of the linear equations and get the value of x.

a)

[tex]9.1 = -0.2x + 10\\10 - 9.1 = 0.2x\\0.9 = 0.2x\\\frac{0.2x}{0.2} = \frac{0.9}{0.2} \\x = 4.5[/tex]

b)

[tex]10 = 9.1 + 0.2x\\0.2x = 10 - 9.1\\0.2x = 0.9\\\frac{0.2x}{0.2} = \frac{0.9}{0.2} \\x = 4.5\\[/tex]

c)

[tex]10 - 0.2x = 9.1\\-0.2x = 9.1 - 10\\-0.2x = -0.9\\x = 4.5[/tex]

d)

[tex]9.1 - 10 = 0.2x\\0.2x = -0.9\\x = -4.5[/tex]

The odd equation with a different value is equation d

Learn more on linear equation here;

https://brainly.com/question/1884491

Answe67

Step-by-step explanation:

Answer:

Step-by-step explanation:

= [tex](-\frac{\sqrt{3}}{2} - \frac{1}{2}i)^1^2[/tex]

= [tex](-\frac{\sqrt{3}}{2} - \frac{i}{2})^1^2[/tex]    

= [tex](\frac{\sqrt{3} -i}{2})^1^2[/tex]

apply the exponential rule:

    ([tex]-\sqrt{3}-i[/tex])¹²

=  --------------

         2¹²

note: ([tex]-\sqrt{3}-i[/tex])¹² = 4096

= 4096

  4096

= 1

Answer:

[tex]r=-3/5=-0.6[/tex]

Step-by-step explanation:

We have the equation:

[tex]6^{-3r}=6^{2r+3}[/tex]

Since their bases are the same, the exponents must be equivalent. So:

[tex]-3r=2r+3[/tex]

Solve for r, subtract 2r from both sides:

[tex]-5r=3[/tex]

Divide both sides by -5:

[tex]r=-3/5=-0.6[/tex]

So, the value of r is -3/5.

And we're done!

Answer:

x² + 2x - 3

Step-by-step explanation:

Step 1: Write expression

(4x² - 3x + 1) - (3x² - 5x + 4)

Step 2: Distribute negative

4x² - 3x + 1 - 3x² + 5x - 4

Step 3: Combine like terms (x²)

x² - 3x + 1 + 5x - 4

Step 4: Combine like terms (x)

x² + 2x + 1 - 4

Step 5: Combine like terms (constants)

x² + 2x - 3

Step-by-step explanation:

The area of a rectangle is 171 m²

Let l is the length and b is the width of the rectangle

It width is 10 m less than the length. So,

b = l-10 ...(1)

Area of a rectangle is given by :

[tex]A=l\times b\\\\171=l(l-10)\\\\l^2-10l=171\\\\l^2-10l-171=0\\\\l^2-19l+9l-171=0\\\\\text{taking common together}\\\\l(l-19)+9(l-19)=0\\\\(l-9)(l-19)=0[/tex]

or

l = 9 m or l = 19 m

If l = 9 m,

b = 9-10 = -1 m (can't be possible)

If l = 19 m

b = 19-10 = 9 m

So, the length an the breadth of the rectangle is 19 m and 9 m respectively.

Answer:

no

Step-by-step explanation:

800x8%=64

64+800=864

Answer:

$736

Step-by-step explanation:

800 x (100% - 8%)

800 x 92%

=736

Answer:

-1/36

Step-by-step explanation:

The slope is of [tex]\mathbf{-\frac{1}{3}}[/tex]

----------------------

We use a linear function to understand this question, which has equation given by:

[tex]y = mx + b[/tex]

A similar problem is given at https://brainly.com/question/18594541

Answer:

48 inches, 4 feet

Step-by-step explanation:

since each foot is 12 inches and we have 4 feet, we can multiply both numbers to convert 4 feet to inches. 12*4= 48 inches

to convert 48 inches to feet, we can divide by 12 since 12 inches is a foot. 48/12=4 feet

Given parameters:

Number of hours worked by Peter = 6.5hrs

His friend Joseph works [tex]1\frac{2}{3}[/tex] hours more than Peter;

Unknown:

Number of hours Joseph can work more than Peter = ?

This problem is pretty straight forward.

We see from the given parameters, it was explicitly stated that Joseph, the friend of Peter works [tex]1\frac{2}{3}[/tex] more hours .

Therefore, Peter's friend worked [tex]1\frac{2}{3}[/tex] more hours.