find the area of the polygon​

Answer:

Part a:  Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.

Part b:  Yes we accepted the null hypothesis when it is false so we made a type II error.

Part c: Power = 0.6591=0.66

Step-by-step explanation:

Part a:

Let the null and alternate hypotheses be

H0: u ≤ 1 against the claim Ha: u > 1

The significance level is ∝=0.01

As the standard deviation of the population is not given we use t- test which has n-1= 20-1= 19 degrees of freedom

This is one tailed test the critical region is t > ± 2.539

The mean is calculated to be 1.24 and standard deviation of the sample = s= 0.4486

We take population mean = u= 1

The test statistic is

t = x`-u/ s/ √n

t= 1.24-1 / 0.445/√20

t= 0.24/0.0995

t= 2.412

Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.

Part b:

Type I errors are those errors when the null hypothesis is true and is rejected.

Type II errors are those in which the null hypothesis is false and is accepted.

If we had rejected the null hypothesis as it was true then we would have made a type I error.

Population mean = u = 1.33

And our null hypothesis is u= 1

Yes we accepted the null hypothesis when it is false so we made a type II error.

Part c:

When σ= 0.5

For Part a: μ= 1.33

Power = P (reject H0/ H0 is false)

= 1-β

P (reject H0/ H0 is false) = P (z > 2.539+ (u`-u0) / σ*√n)

= P (z > 2.539+ (1-1.33) /0.5 *√20)

=P (z > 2.539-2.9516)

= P (z > 0.4126)

= 0.5 - P (z= 0.2938)                                         from the area of table.

= 0.5- 0.1591

=0.3409

Power = 1-β = 1- 0.3409= 0.6591=0.66

Answer:

A.

Step-by-step explanation:

Answer:

b. might or might not

Step-by-step explanation:

Theorem:

If f is a continuous function in a bounded interval, it must have an absolute maximum.

In this question:

The interval is  2x^4+6y^2 >= 152, which goes to infinite, meaning it is not bounded, and so the function might or might not have an absolute maximum, and the correct answer is given by option b.

Answer:

b. might or might not

Step-by-step explanation:

For each of the regions D in R^2 below, fill in the blank so that the statements are true: might or might not

Answer:

7(y + 1/3)

Step-by-step explanation:

7 times the sum of y and 1/3

7    *           (y + 1/3)

7 * (y + 1/3)

7(y + 1/3)

Answer: The answer is 5/4 :)

Answer:

5/4 or 1 1/4

Step-by-step explanation:

khan academy

Answer:

x=2

Step-by-step explanation:

7x - 3 = 11

Add 3 to each side

7x - 3+3 = 11+3

7x = 14

Divide by 7

7x/7 = 14/7

x = 2

[tex]\boxed{\bold{ X=2  }}[/tex] 

now we have to add 3 in both sides

we get that,

now divide 7 in both sides

we get that,

Answer:

the answer for x equal negative 7

Answer:

the answer to this question is"B"

B. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box

Randomly select the winning customer's form out of the box

AMPERE - A unit of measure for the flow of current in a circuit. One ampere is the amount of current flow provided when one volt of electrical pressure is applied against one ohm of resistance.

Electronics uses active devices to control electron flow by amplification and rectification, which distinguishes it from classical electrical engineering, which only uses passive effects such as resistance, capacitance and inductance to control electric current flow.

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Answer:

I don't know sorry :((((((((((((((((

Step-by-step explanation:

Answer:

49.12 in²

Step-by-step explanation:

The composite figure here is a semicircle and a triangle :

Area of triangle = 1/2 * base * height

Base of triangle = 8 inches ; height = 6 inches

Area of triangle = 1/2 * 8 * 6 = 48/2 = 24 in²

Area of semicircle = 1/2 * πr²

Radius = 4 in

Area of semicircle = 1/2 * 3.14 * 4² = 25.12 in²

Area of composite figure :

Area of triangle + Area of semicircle

(24 in² + 25.12 in²)

= 49.12 in²

9514 1404 393

Answer:

  A'(-4, 6)

Step-by-step explanation:

When dilation is about the origin, the image points are the preimage points multiplied by the scale factor.

  A' = (2/3)A = (2/3)(-6, 9)

  A' = (-4, 6)

Answer:

(-4, 6)

Step-by-step explanation:

Answer:

prob -3

Step-by-step explanation:

The number 0 is called the additive identity because when you add it to a number, the result you get is the same number. For example, 4 + 0 = 4. Any two numbers whose sum is zero, such as 3 and -3, because 3 + (-3) = 0.

Answer:The number 0 is called the additive identity because when you add it to a number, the result you get is the same number. For example, 4 + 0 = 4. Any two numbers whose sum is zero, such as 3 and -3, because 3 + (-3) = 0.

Step-by-step explanation:

Answer:

The answer is 14

Step-by-step explanation:

All you have to do is Divide 378 by 27 to get x

Hope This Helps!

Step-by-step explanation:

I hope you understand what I wrote

Answer:

cos=Adjacent / hypotenuse

[tex] \cos = \frac{35}{37} [/tex]

choose B.

Answer:

106.67 hours

Step-by-step explanation:

Total hours

160 * 8 = 1,280

Hours for group of 12

1280 / 12 = 106.6666666667

Answer:

48

Step-by-step explanation:

because it gives us the perimeter, we add all the sides

4z-1+4z-1+5z+3+5z+3=166

8z-2+10z+6=166

18z+4=166

18z=162

z=9

side PS is 5z+3

plug in z to get 45+3=48

Answer:

4.16%

Step-by-step explanation:

Had it on my test gl!

The probability that a new battery will last between 7 and 8 years is 4.16%.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

µ = 5 years and σ = 1.2

Now, P( 7 < x <8)

= P ( 7- µ/σ <  x- µ/σ < 8- µ/σ)

= P( 7- 5/1.2 < 7- µ/σ < 8- 5/1.2)

= P (1.5 < z < 2.5)

= Φ(2.5) - Φ (1.5)

= 0.9938 - 0.9522

= 4.16%

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Answer:

41 houses

Step-by-step explanation:

Given the following data;

Total number of house = 80 houses

Fraction sold in the 1st month = 2/5

Fraction sold in the 2nd month = 1/8

To find the number of houses left unsold;

Number sold in the 1st month = 2/5 * 80

Number sold in the 1st month = 160/5

Number sold in the 1st month = 32 houses

Numbers of houses left = 80 - 32 = 48 houses

Number sold in the 2nd month = 1/8 * 48

Number sold in the 2nd month = 48/8 = 7 houses

Number of houses left = 48 - 7 = 41 houses

Answer:

The distance between the points is five for the first one and 7 for the second one.

Step-by-step explanation:

Answer:

Options are not clear.

See explanation

Step-by-step explanation:

Given

[tex]C = (-4,1)[/tex]

[tex]D = (3,3)[/tex]

[tex]m : n =5:2[/tex]

Required

The y coordinate

When a line is divided into segments, by ratios.

The formula is:

[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

By comparison:

[tex]y = \frac{my_2 + ny_1}{m + n}[/tex]

Where:

[tex]y_1 = 1; y_2 = 3[/tex]

[tex]m : n =5:2[/tex]

So, we have:

[tex]y = \frac{5*3 + 2*1}{5 + 2}[/tex]

[tex]y = \frac{15 + 2}{7}[/tex]

[tex]y = \frac{17}{7}[/tex]

Answer:

{5/7}(3-1)+1

Step-by-step explanation:

got it right on edg

Answer:

y=10/3x+2

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

10x-3y=-6

-10x. -10x

-3y=-6-10x

/-3. /-3

y=10/3x+2

Answer:

"a" is showing the number of blue beads

"b" represents the number of red beads in a combination

let "n" show the number of credits.

We get the following equation:

n = 3a + 7b.

Now, we want to prove that for all n ≥ 12, there is some combination of blue and red beads that is worth n credits, there are a, b in N such that:

n = 3a + 7b

Hence we will prove this by induction.

Base Cases: n = 12.

Applying the formula clearly 12 = 3*4+7*0.

n = 13

Applying the formula clearly 13 = 3*2+7*1.

n = 14.

Applying the formula clearly 14 = 3*0+7*2.

Induction Step: Assume that for all 12<=k<n there are x, y in N such that

k = 3x + 7y. We will now prove that there are a, b in N such that n = 3a + 7b.

By the induction hypothesis we know that there are x, y in N such that n-3 = 3x + 7y.

Hence n = n - 3 + 3 = 3x + 7y + 3 = 3(x + 1) + 7y, so choosing a = x + 1

and b = y we see that n = 3a + 7b.

Therefore by induction, the claim is true for all n ≥ 12

Answer:

B

Step-by-step explanation:

Answer:

V≈340.34

Step-by-step explanation:

V=πr2h

3=π·52·13

3≈340.3392

Answer:

+9-12

==3

Step-by-step explanation:

when u multiply - and + it will always be -

Answer:

To simplify this, it is simply.

9 - 12

Because the + means its a positive.

9 - 12 = - 3

Answer:

Days

Step-by-step explanation:

I'd say Days

Answer: $1,540.00 is the total amount needed for the class trip

Step-by-step explanation:

Data: $110.00 earned for class trip

14th of the money needed

Money needed: x

Step one, Make the equation

110x14=x

Reason: Since we know 110.00 is a 14th of the money needed, we know multipling it by 14 will get us the money needed for the class trip. Having it in an equation will make it easier to solve.

Step two, Evaluate the equation

110x14=x=1540=x

Reason: The only thing that was left to do was to multiply 110 by 14 to get 1540 since the x was already isolated to begin with. That leaves us with the  answer of x=1540.

However, since this is a real world problem, we have to make the answer more realistic so the final answer is '$1,540.00 is the total amount needed for the class trip'

I hope this helps!