3. Compare corresponding sides that include the
corresponding, congruent angles to show they are in
proportion.




Help please

Answer:

A) P(1) = 0.2

B) P(greater than or equal 3) = 0.4

C) P(4) = 0.1

D) P(0) = 0.1

E) [tex]\mu_y = 0.2[/tex]

F) [tex]\sigma = 0.089[/tex]

Step-by-step explanation:

A)

to find P(1) we see in the table the value of P(x) when x is equal to 1.

when x=1, we have that P(x) = 0.2, therefore P(1) = 0.2

B)

To find P(greather than or equal 3), we just need to find P(3) and P(4), and sum their values. Seeing in the table, we have that P(3) = 0.3 and P(4) = 0.1, so:

P(greater than or equal 3) = P(3) + P(4) = 0.3 + 0.1 = 0.4

C)

All four tires having low air pressure is represented by the value of x equal 4, so we have to find P(4). Seeing in the table, we have that P(4) = 0.1

D)

No tires having low air pressure is represented by the value of x equal 0, so we have to find P(0). Seeing in the table, we have that P(0) = 0.1

E)

To find the mean of P(x) we just need to sum all the values and divide by the number of values:

[tex]\mu_y = (0.1 + 0.2 + 0.3 + 0.3 + 0.1)/5 = 1/5 = 0.2[/tex]

F)

The formula to calculate the standard deviation is:

[tex]\sigma = \sqrt{\frac{1}{N}\sum(x_i-\mu)^2}[/tex]

[tex]\sigma = \sqrt{\frac{1}{5}((0.1-0.2)^2+(0.2-0.2)^2+(0.3-0.2)^2+(0.3-0.2)^2+(0.1-0.2)^2)}[/tex]

[tex]\sigma = \sqrt{\frac{1}{5}(0.01+0+0.01+0.01+0.01)}[/tex]

[tex]\sigma = 0.089[/tex]

Answer:

For this case we know that the price after the 12% of discount is 156 and we want to findd the net price so then we can use the following proportional rule:

[tex] \frac{x}{100} = \frac{156}{100-12}[/tex]

Where x represent the net price. And if we solve for the value of x we got:

[tex] x= 100 *\frac{156}{88}= 177.273[/tex]

So then the net price for this case would be $ 177.273

Step-by-step explanation:

For this case we know that the price after the 12% of discount is 156 and we want to findd the net price so then we can use the following proportional rule:

[tex] \frac{x}{100} = \frac{156}{100-12}[/tex]

Where x represent the net price. And if we solve for the value of x we got:

[tex] x= 100 *\frac{156}{88}= 177.273[/tex]

So then the net price for this case would be $ 177.273

Answer:

  C.  d = 24g

Step-by-step explanation:

The problem boils down to determining the ratio between d and g. That is, for some equation ...

  d = k·g

we want to determine the value of k. Solving the equation for that value, we find ...

  k = d/g

So, we need only to read a point from the graph with sufficient accuracy to determine a good estimate for k.

  (gallons, miles) = (g, d) = (5, 120) is a suitable point

Then ...

  k = d/g = 120/5 = 24

The equation is d = 24g.

Answer:

2

Step-by-step explanation:

we will find the discriminant of the equation

d = b^2  - 4ac (here, a = 1 , b = 3 , c = 1. from the general formula: ax^2 + bx + c)

d =  9 - 4

d = 5

since d > 0, the roots are real and different

hence, the both the roots of this equation are equal

Answer:

The statistic is misleading because Christopher collects his sample from a population (voters in his state) and make inferences about another population (voters in his city).

Step-by-step explanation:

The statistic is misleading because Christopher collects his sample from a population (voters in his state) and make inferences about another population (voters in his city).

He should make inferences about the population that is well represented by his sample (voters in his state), or take a sample only from voters from his city to make inferences about them.

Answer:

I believe it is D

Answer:

  The sum of 3 and the quotient of y and 2.

Step-by-step explanation:

The order of operations requires that you evaluate the expression ...

  3 + y ÷ 2

by first performing the division, then the addition. So, the addition gives you the sum of 3 and a quotient, because the quotient must be evaluated first.

The quotient is of y and 2 (not 2 and y), because the wording "the quotient of a and b" is always interpreted to mean a÷b.

So, the expression can be described as ...

  the sum of 3 and the quotient of y and 2.

Answer:

theta = 60 degrees

Step-by-step explanation:

tan theta = sqrt(3)

Take the inverse tan of each side

tan ^-1 tan theta = tan ^-1 (sqrt(3))

theta = 60 degrees

Answer:

x = -48

Step-by-step explanation:

x/ 4 = -12

Multiply each side by 4

x/4 * 4 = -12 *4

x = -48

Answer:-48

Step-by-step explanation:x/4=-12

Cross multiply

X x 1 =-12 x 4

X=-48

Answer:

E[N] = 1

Step-by-step explanation:

Here is the hint we are given on this problem - " Write N = [tex]1_{A_1}[/tex] + [tex]1_{A_2}[/tex] + · · · + [tex]1_{A_{ 13}[/tex]where [tex]A_k[/tex] is the event that a match occurs on deal k. "

_____

Now the standard thing is to do is let [tex]X_i[/tex] = 1, if there is a match on the [tex]i[/tex]-th pick and 0 otherwise. The number of matches is given to be [tex]X_1[/tex] + [tex]X_2[/tex] . . . + [tex]X_{13}[/tex]. Knowing that, we can use the linearity of expectation -

There are 13 cards and for [tex]i[/tex]-th pick, the probability of having a card with [tex]i[/tex] number is 1 / 13. Therefore, E[N] = E[[tex]X_1[/tex] + [tex]X_2[/tex] . . . + [tex]X_{13}[/tex]] = 1

_____

Solution: E[N] = 1

Answer:

  y = -3

Step-by-step explanation:

The y-axis is a vertical line, so the perpendicular line is a horizontal line. It is generally written in the form ...

  y = constant

For the line to go through the point (-5, -3), the constant must match the y-coordinate of the point: -3

  y = -3 . . . . your equation

__

Such a line has a slope of 0, so could be written in "slope-intercept form" as ...

  y = 0x -3

We generally omit terms that evaluate to zero.

Answer:

r= 0.19

Step-by-step explanation:

A= $708,050

P=$500,000

'' = 2

$708,050= $500,000(1+r)^2

-Divide $500,000 by both sides

1.4161= (1+r)^2

-Square Root on both sides

1.19= 1+r

-Subtract 1 on both sides

r= 0.19

Answer:

A temperature range is within 5 degrees of 60 degrees Fahrenheit

Step-by-step explanation:

As per the number line which has been given, the circular marks at the ends of the shaded area are also seen to be shaded, not blank. This means that the values on which these marks fall, 55 and 65, have to go along with the list. A, a temperature range within 5 degrees of 60 degrees

Fahrenheit is the only choice that suits this as 5 degrees below 60 degrees is 55 while 5 degrees higher than the degrees of 60 is 65

Answer:

the answer is A

Step-by-step explanation:

i did the test

Answer:

B and E

Step-by-step explanation:

A terminating decimal is a decimal with a finite number of digits after the decimal point. If we input all of these fractions into a calculator, or solve them by hand, we find that B is equal to 2.5, and E is equal to 0.375, and all the others are repeating decimals.

Answer:

H0: p = 3.5

H1: p < 3.5

Step-by-step explanation:

We are told that past studies have indicated that the percentage of smokers is estimated to be about 35%, but with the new smoking cessation programs that have been implemented, it is believed that the percentage of smokers has been reduced, we must propose our null and alternative hypotheses, which would be the following:

Null hypothesis: H0: p = 3.5

Alternative hypothesis: H1: p < 3.5

Answer:

,.........................................................

Answer:

[tex]E(X^2)=32.5\\V(X)=7.5\\E[X(X-1)]=E(X^2)-E(X)\\V(X)=E(X^2)-[E(X)]^2[/tex]

Step-by-step explanation:

We have the following properties:

[tex]E( X + Y ) = E(X) + E(Y)\\V(X) = E(X^2)-[E(X)]^2[/tex]

So, if we have that E[X(X-1)] = 27.5, we can write them using the first property as:

[tex]E(X(X-1))=27.5\\E(X^2-X)=27.5\\E(X^2)-E(X)=27.5[/tex]

Then, replacing E(X) by 5 and solving for [tex]E(X^2)[/tex], we get:

[tex]E(X^2)-5=27.5\\E(X^2)=27.5+5\\E(X^2)=32.5[/tex]

Finally, using the second property and replacing [tex]E(X)[/tex] by 5 and [tex]E(X^2)[/tex] by 32.5, we get that V(X) is equal to:

[tex]V(X) = 32.5 - 5^2\\V(X) =32.5 - 25\\V(X) = 7.5[/tex]

Answer:

None of the above

Step-by-step explanation:

An inequality will only have a solid boundary line when it has ≤ or ≥. Since all of our answer choices have < or >, we will only have a dotted boundary line.

Answer:

628

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 12 - 1 = 11

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 11 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.2

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.2\frac{59}{\sqrt{12}} = 37[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 665 - 37 = 628 hours.

The answer is 628

Answer:

14.45 = 14.5 = 15     8.05=8

Step-by-step explanation:

When rounding use the rule "5 or more raise the score, 4 or less let it rest." We round 14.45 to 14.5 because .45 will round to .50. We are left with 14.50. The .50 rounds the 14 to 15. For 8.05 because there is a 0 before the 5 we leave the number at 8.

Answer:

a. 0.67

b. 1.31

Step-by-step explanation:

We have the following information n = 20, mean (m) = 10 and standard deviation (sd) = 3

a.

SE (m) = sd / n ^ (1/2)

replacing we have:

SE (m) = 3/20 ^ (1/2) = 0.67

Therefore the standard error of the mean is 0.67

b.

the critical value is obtained as shown below:

the level of sifnificance is alfa = 1 - 0.95 = 0.05

the critical value with level of significance alfa / 2 = 0.05 / 2 = 0.025

and to this value corresponds z = 1.96 (z table)

The margin of error with 95 confidence is calculated as follows:

E = z * SE

E = 1.96 * 0.67

E = 1.31

Therefore the margin of error is 1.31

(a) The standard error will be "0.67".

(b) The margin of error will be "1.31".

According to the question,

Standard deviation,

Sample size,

(a)

As we know,

→ The Standard error,

= [tex]\frac{sd}{\sqrt{n} }[/tex]

= [tex]\frac{3}{\sqrt{20} }[/tex]

= [tex]0.67[/tex]

(b)

As we know,

→ The margin of error,

= [tex]Z_{a/2}\times \frac{sd}{\sqrt{n} }[/tex]

By substituting the values, we get

= [tex]Z_{a/2}\times \frac{3}{\sqrt{20} }[/tex]

= [tex]1.96\times 0.67[/tex]

= [tex]1.31[/tex]

Thus the above response is right.

Learn more:

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Complete Question

The  complete question is shown on the first uploaded image

Answer:

The correct option is  A

Step-by-step explanation:

Now  from the question we are given the function

        [tex]f(x) = \frac{10^{2 x} -4}{x}[/tex]

Now  as  [tex]\lim_{x \to 0} [f(x) ] = \frac{10^{2*0} -4 }{0}[/tex]

       =>    [tex]\lim_{x \to 0} [f(x) ] = - \infty[/tex]

This  implies that as [tex]x\to 0[/tex] the function [tex]f(x) \to -\infty[/tex] which means that at  x = 0  the function is not continuous  

Answer:

Second option

Step-by-step explanation:

Focus on the right side only. We have (n+8)(n+5).

Let's use FOIL to expand that out

F = first means we multiply the first terms n and n to get n^2

O = outer tells us to multiply the outer terms n and 5 to get n*5 or 5n

I = inner tells us to multiply the inner expressions 8 and n to get 8n

L = last meaning we multiply 8 and 5 to get 8*5 = 40

Add up those results: n^2+5n+8n+40 = n^2+13n+40

Notice how the like terms (5n and 8n) combine to have the expression simplify a bit.

This shows how (n+8)(n+5) turns into n^2+13n+40, which is why the second choice is the answer. The other choices aren't true equations for all values of n.

Answer:

its b

Step-by-step explanation:

I just took the test

Answer

1. (a) (3,4,5)--3^2 +4^2=9+16=25=5^2

2. (b) 25--172-82=50/2=25

3. (c) 5,000 kg--1,000 kg in 1 tonne

4. (a) 0.4--1-0.6=0.4

5. (d) kilometer

6. (c) hypotenuse

7. (a) grams

8. i think it is (a) 58--5+8+2=15~~8/15 =0.53~closest answer is 58

9. (c) tonne

10. (b) 15 tonnes--1000 kg in 1 tonne

11. (a) #7,600--38000*20%, or 0.20, =7,600

12. (a) 7:30 pm

13. (c) right angle

(c) metric system

Part B

1. True

2. 0.8

3. 30,000 dollars--20,000 +0+5,000+5,000=30,000

4. Planting/watering trees--20 dollars

5. Collecting/burning rubbish--0 dollars

Answer:

x = 9y - 4

Step-by-step explanation:

2x - 18y = - 8 /: 2

x - 9y = - 4

x = 9y - 4

Answer:

The value of the radius is 4.46cm.

Step-by-step explanation:

Given the perimeter is 28 cm. So, if we want to find the radius then we should consider this perimeter as the circumference of the circle. Thus, we have to equate this value with the circumference (perimeter of the circle).

The perimeter of the circle or circumference = 2π r  

Here, π = 22/7

r = radius

Now, 2π r = 28

r = 28 / 2π

r = 4.46 cm

Answer:

y=-1/3x-1

Step-by-step explanation:

We have the information y=3x-5, the lines are perpendicular, and the new line passes through (6,-3). The slopes of perpendicular lines are negative reciprocals so you need to find the negative reciprocal of 3, so flip it to 1/3 and multiply by -1, we get the slope of the new line as -1/3. So far we have the equation y=-1/3x+b. We are given a point on the line, (6,-3), so we can plug these into the equation as x and y to solve for the y-intercept, b. You set it up as -3=-1/3(6)+b. First you multiply to get -3=-2+b, then you add 2 to both sides to isolate the variable and you get b=-1. Then you can use b to complete your equation with y=-1/3x-1.

Answer:

Lateral surface area would be (13*4)*2 + (4*4)*2 = (52*2) + (16*2) = 104 + 32 = 136 units^2.

Surface area would be 136 + 104 = 240 units^2.

Step-by-step explanation:

I hope this helps you!

Answer:

The sample proportion of bare ground spots is 0.4118

Step-by-step explanation:

The sample proportion of bareground spots is the number of bareground sports divided by the number of spots.

In this question

700 bareground spots

1700 spots

7/17 = 0.4118

The sample proportion of bare ground spots is 0.4118

Given data:

The formula will be:

→ [tex]Sample \ proportion = \frac{x}{n}[/tex]

By substituting the given values, we get

                                 [tex]= \frac{700}{1700}[/tex]

                                 [tex]= 0.4118[/tex]

Thus the response above is correct.  

Learn more about sample proportion here:

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Answer:

Step-by-step explanation:

16x^2 + 9 = 25

16x^2 = 16

x^2 = 1

x = 1, -1