Solve each equation (images provided).

Answer:

The Z-statistic value is

                  Z = -2.33

Step-by-step explanation:

Step(i):-

Random sample size     'n' = 64

mean of the sample  'x⁻ ' = 8.93 volts

standard deviation of the sample  = 0.2 volts

mean of the Population"μ" = 9 volts

Step(ii):-

Z -statistic

             [tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

             [tex]Z = \frac{8.93 -9}{\frac{0.2}{\sqrt{64} } } = -2.33[/tex]

Conclusion:-

The Z-statistic value is  = -2.33

Answer:

Step-by-step explanation:

Using the alternative hypothesis (µ < µ0),

To find the p-value with test statistic -1.25 and assuming a standard level of significance of 0.05, using a p value calculator, the p-value is 0.1057 which is great that 0.05. Thus, the results is not significant.

Using the p value calculation.

1. Check the left tailed z table as the test statistic is negative,

2. Then find the probabilitythat z is greater than your test statistic (look up your test statistic on the z-table- the value under 1.2 and 0.05 which is 0.8944

3. Then, find its corresponding probability, and subtract it from 1 to get your p-value- 1-0.8944 = 0.1056.

Answer:

We have our answer as approximately 10 %

Step-by-step explanation:

We are simply expected to express the sum of money spent on insurance as a percentage of the total sales in this question.

The first step is to set up a fraction, having the sum spent on insurance as the numerator, and the total sales as the denominator. This is shown below

[tex]\frac{66,170}{713,200}[/tex]

To convert this fraction to a percentage, we will have to multiply it by 100 and reduce it to its lowest term.

Here we have

[tex]\frac{66,170}{713,200} \times 100= 9.28 percent[/tex]

Rounding of to the nearest tenth, we have our answer as approximately 10 %

Answer:

It's written as

[tex]89.7 \times {10}^{9} [/tex]

Or

[tex]8.97 \times {10}^{10} [/tex]

Hope this helps you

Answer:

8.97 * 10 ^10

Step-by-step explanation:

We want one nonzero digit to the left of the decimal

8.97

We moved the decimal 10 places to the left

The exponent is positive 10 since we moved 10 places to the left

8.97 * 10 ^10

Answer:

The area of the sheet is approximately 50.59 m² or 50.6 m²

Step-by-step explanation:

The area of a rectangle is given by the following expression:

[tex]area = width*height[/tex]

Since breadth is the same as the width of the sheet, we can calculate its area as shown below:

[tex]area = 9.96*5.08 = 50.59[/tex]

The area of the sheet is approximately 50.59 m² or 50.6 m²

Answer:

x = ln6

Step-by-step explanation:

e^2x - 2e^x - 24 = 0

a = e^x

=> a^2 - 2a - 24 = 0

=> (a + 4)(a - 6) = 0

=> a = -4 => e^x = -4 (invalid because e^x > 0)

=> a = 6 => e^x = 6 => x = ln6

Answer:

-2 < x < 35

Step-by-step explanation:

We have that the larger side has a larger opposite angle and the smaller sides and a smaller opposite angle.

The opposite angle of the 14 unit side is 37 °.

The opposite angle of the 13-unit side is (x + 2) °.

Since 13 <14, it would be:

x + 2 <37

we subtract 2 on both sides

x <35

The value of x must be less than 35.

Now, to form a triangle, the angle must be greater than 0.

x + 2> 0

we subtract 2 on both sides

x> -2

The value of x must be greater than - 2.

Therefore the answer would be:

-2 <x <35

Answer:

8x = 104

x = 13

Step-by-step explanation:

Since we are trying to distribute it evenly, we divide 104 by 8 to get 13 pieces of candy per child.

The equation is saying 8 kids times x amount of candy per kid is equal to a total amount of 104 pieces of candy.

Answer:

Each kid will get 13 pieces of candy.

Step-by-step explanation:

If Carleen has 104 pieces of candy leftover from Halloween, and she splits the candy with 8 of the kids on her block, each kid gets 13 pieces. I know this because you divide:

104 divided by 8 equals 13

Answer:

D

Step-by-step explanation:

This is an odd degree polynomial (the highest degee is an odd number) so both ends will be in different directions, one will be up the other will be down. So rule out any option that has p(x) pointing in the same direction (A & C)

Now we are between B & D. Look at the leading coefficient 6 which is positive so we know that the left end goes down and the right end goes up. If the lc was negative the opposite would be true. So

D is the right answer

Answer:

10

Step-by-step explanation:

for this you need to sub the value of -3 for x

Q(-3)=(-3)^2-(-3)-2

=9+3-2

=10

Answer:

Q= x - X/x - 2/x

Step-by-step explanation:

hope this helps !

Answer:

48

Step-by-step explanation:

You are doubling 2 dimensions, so you just multiply the volume by 2 each time. Since you are doing it twice, you multiply the volume by 4. 12*4=48. You could also brute force it and just do 24*36*12/216(the volume of the 6 inch cube).

Given that, a box in the shape of a rectangular prism, with dimensions 12 inches by 18 inches by 12 inches, can hold exactly 12 cubes measuring 6 inches on each side.

We need to find that how many cubes it holds if the length and width of the base are doubled,

We know that,

Volume of a rectangular prism = length × width × height

Volume of the new rectangular prism, = 2length × 2width × height

= 4(length × width × height)

= 4(12·12·18)

= 4×2592

= 10,368

Volume of the cube = side³

= 6³ = 216

The number of cube that the new rectangular prism can hold = Volume of the rectangular prism / Volume of the cube

= 10,368 / 216

= 48

Hence, the new rectangular prism, can hold 48 cubes.

Learn more about rectangular prism, click;

https://brainly.com/question/29124743

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Answer:

Option C

Step-by-step explanation:

Our input is function f( x ), but to find the derivative of this function, you must convert this f ( x ) into a " [tex]d / dx[ f( x )] / f'x[/tex] " format. In this case it can be done multiplying the numerator by 7, and squaring the denominator. We would have to separate this into two fractions, as the following -

[tex]\frac{4}{7x-18}-\frac{28x}{\left(7x-18\right)^2}[/tex]

Now all that has to be done is to simplify this expression! The least common multiple of 7x - 18, ( 7x - 18 )^2 is ( 7x - 18 )^2. That, respectively makes it our denominator. Based on the LCM we would receive the following -

[tex]\frac{4\left(7x-18\right)}{\left(7x-18\right)^2}-\frac{28x}{\left(7x-18\right)^2}[/tex]

Now the denominators are equal, so we can combine the two fractions and simplify -

[tex]\frac{4\left(7x-18\right)-28x}{\left(7x-18\right)^2} - ( Simplify ),\\\\-\frac{72}{\left(7x-18\right)^2}[/tex]

Hence, the solution is option c. Hope that helps!

Answer:

The answer is answer choice b.

Step-by-step explanation:

b/c its a negative line

Answer:

Her initial money she started with us $800.00

Step-by-step explanation:

Let the initial money Ann began with be x.

So she spent 1/3 of x on transport,

2/5 of x on food

1/6 of x on clothing

And the remaining is $80.00.

Let's find the value of x

X(1/3) +x(2/5) + x(1/6) +80 = x

X(1/3) +x(2/5) + x(1/6) -x = -80

Taken 30 as the lowest common multiple of the factors gives

(10x + 12x + 5x -30x)/30 = -80

(10x + 12x + 5x -30x)= -2400

-3x = -2400

X = -2400/-3

X= 800

Answer:

657.96

Step-by-step explanation:

use formula A=P(1+r/n)^nt

A=500(1+.04/1)^1*7

A=500(1.04)^7

A=500(1.3159~)

A= 657.96~

Answer:

(CX3)+10

Step-by-step explanation:

Answer:

c×3+10= j

Step-by-step explanation:

Answer:

Set 1: 30, 35, 32, 30, 29

Step-by-step explanation:

Let's first clarify what is accurate and precise:

Precise is based on how close two or more measured values are to each other. While something is said to be accurate, when the standard value values are close, which in our case is 30.

Therefore, we analyze each set:

Set 1: 30, 35, 32, 30, 29

This set is precise and accurate, since 2 values are 30 and all their values are close to each other.

Set 2: 15, 16, 12, 15, 14

This set is precise, because all of its values are close but not accurate.

Set 3: 19, 30, 78, 43, 30

This set is somewhat accurate because there are 2 values of 30, but it is not precise because its values are separate.

Set 4: 30, 30, 67, 12, 90

It is the same case of Set 3.

Therefore the answer is Set 1.

Answer:

Set 1: 30, 35, 32, 30, 29

Step-by-step explanation:

Answer:

[tex]\frac{y}{3}[/tex]

Step-by-step explanation:

Well the quotient is the answer if y divided by 3.

So y divided by 3 is y over 3 y/3.

Answer:

40

Step-by-step explanation:

(34 + 43 + 45 + 35)/4 = 39.25

To the nearest 10th = 40

Answer:

the correct answer is 2x

Answer:

D. 2x

Step-by-step explanation:

20x² : 1, 2, 4, 5, 10, 20, x

14x : 1, 2, 7, 14, x

The greatest common factor of the polynomial is 2x.

2x(10x² - 7)

Answer:

Step-by-step explanation:

[tex]7^{0}=1[/tex]

[tex](7^{13})^{3}*7^{0}=7^{13*3}*1\\\\=7^{39}[/tex]

Answer:

P ≈ 317.08 m

Step-by-step explanation:

Circumference: C = πd

Step 1: Find circumference of both domes

C = π(50)

Since it's a dome, we divide by 2

50π/2 = 25π

Since we have 2 domes, we simply multiply by 2 again

25π(2) = 50π

Step 2: Find perimeter of track

50π + 80(2)

P = 50π + 160

P = 317.08 m

Answer:

Step-by-step explanation:

From the information given,

p represents the probability of success.

x represents the number of success

n represents the number of samples

Therefore,

1) b(x|n,p): b(3|8, .35)

x = 3

n = 8

p = 0.35

From the binomial probability distribution calculator,

P(x = 3) = 0.28

1) b(x|n,p): b(5|8, .6)

x = 5

n = 8

p = 0.6

From the binomial probability distribution calculator,

P(x = 5) = 0.28

c) n = 7

p = 0.6

P(3 ≤ X ≤ 5)

P(x ≥ 3) = 0.904

P(x ≤ 5) = 0.841

P(3 ≤ X ≤ 5) = 0.904 - 0.841 = 0.063

d) n = 9

p = 0.1

P(1 ≤ X) = p(x ≥ 1)

p(x ≥ 1) = 0.61

Answer:

Step-by-step explanation:

The hypotenuse is given by the Pythagorean theorem:

  h = √(3² +5²) = √34

The trig functions are the ratios of sides:

  Tan = Opposite/Adjacent

  tan(θ) = 5/3

__

  Sin = Opposite/Hypotenuse

  sin(θ) = 5/√34 = (5/34)√34

__

  Sec = Hypotenuse/Adjacent

  sec(θ) = √34/3

Answer:

12x/2 or 52/2

Step-by-step explanation:

Ok, perimeter is length+length+width+width. 12x/2 and 52/2 could are probably the answers.

Answer:

703.36 in ^ 3

Step-by-step explanation:

We have the following information:

Height (h) = 32 in

Radius (r) = 7 in

Thickness (dr) = 0.5 in

Now the volume of a cylinder is:

V π (r ^ 2) * h

if we derive with respect to the radius we are left with:

dV / dr = 2 * π * r * h

then solved for dV, we would have:

dV = 2 * π * r * h * dr

we know all these values so we replace:

dV = 2 * π * 7 * 32 * 0.5

dV = 224 * π

if we say that π is approximately 3.14

V = 703.36

Therefore the estimate of the volume of that cylinder is 703.36 in ^ 3

Answer:

552.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Median means the middle or central value.

Given data : 83 , 73 , 76 , 72 , 75 , 85 , 79 , 76

Arranging the data in ascending order:

72 , 73 , 75 , 76 , 76 , 79 , 83 , 85

N ( total number of items ) = 8

Here, as there are 8 terms , we cannot find the one central value within the set.

The median will be average of the two central terms, 76 and 76

Now, to find the median, we have to divide the sum of two central terms ( 76 and 76) by 2

Median :[tex] \frac{76 + 76}{2} [/tex]

Calculate the sum:

[tex] \frac{152}{2} [/tex]

Divide:

[tex]76[/tex]

Hope this helps..

Best regards!

Answer:

0.492

Step-by-step explanation:

According to the given situation,  the calculation of Δy and dy is shown below:-

[tex]y = e^x, x = o, \Delta x = 0.6[/tex]

[tex]dy = f'(x) = e^x[/tex]

[tex]dy = e^x dx[/tex]

[tex]= e^x (0.4)[/tex]

[tex]dy = 0.4e^x[/tex]

[tex]\Delta y = f(0.4) - f(0)[/tex]

[tex]= e^{0.4} - e^0[/tex]

Now we use the scientific calculator or spreadsheet to determine the exponential value

= 1.491824698  - 1

= 0.491824698

or

= 0.492

Therefore for computing the  Δy and dy we simply applied the above formula.

Hence, the answer is 0.4918

Answer:

The null and alternative hypothesis can be written as:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0[/tex]

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.

This claim will be reflected in the alternnative hypothesis, that will state that the population proportion 1 (18 to 34) is significantly smaller than the population proportion 2 (35 to 49).

On the contrary, the null hypothesis will state that the population proportion 1 is ot significantly smaller than the population proportion 2.

Then, the null and alternative hypothesis can be written as:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0[/tex]

The significance level is assumed to be 0.05.

The sample 1, of size n1=200 has a proportion of p1=0.63.

[tex]p_1=X_1/n_1=126/200=0.63[/tex]

The sample 2, of size n2=175 has a proportion of p2=0.68.

[tex]p_2=X_2/n_2=119/175=0.68[/tex]

The difference between proportions is (p1-p2)=-0.05.

[tex]p_d=p_1-p_2=0.63-0.68=-0.05[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{126+119}{200+175}=\dfrac{245}{375}=0.653[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.653*0.347}{200}+\dfrac{0.653*0.347}{175}}\\\\\\s_{p1-p2}=\sqrt{0.001132+0.001294}=\sqrt{0.002427}=0.049[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.05-0}{0.049}=\dfrac{-0.05}{0.049}=-1.01[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

[tex]\text{P-value}=P(z<-1.01)=0.1554[/tex]

As the P-value (0.1554) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.

Answer:

  no; 12

Step-by-step explanation:

A number divisible by 4 and 6 will be divisible by their least common multiple, 12. If it is an odd multiple of 12, it will not be divisible by 24.

Examples:

  12÷4 = 3; 12÷6 = 2; 12 is not divisible by 24

  24÷4 = 6; 24÷6 = 4; 24 is divisible by 24

  36÷4 = 9; 36÷6 = 6; 36 is not divisible by 24