Instructions: Determine if the two triangles in the image are congruent. If they are, state how you know by identifying the postulate.

Answer:

$ 14.08

Step-by-step explanation:

We have that the policy costs $ 94 and with life insurance with coverage of $ 120,000, to calculate the expected value, we must subtract the value of that life insurance multiplied with the probability of dying (complement of the probability of living) and the policy value multiplied by the probability of staying alive) like this:

120000 * (1 - 0.9991) - 94 * 0.9991 = 14.0846

Which means that the expected value of the policy is $ 14.08

Answer:

Dear user,

Answer to your query is provided below

A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9.

Step-by-step explanation:

Here , It is given that the number is three digit in which units digit is 2 and hundreds digit is 4.

As per rule, the sum of its digits should've divisible by 9. So, Let the unknown digit be X .

Therefore, 2+X+4 =9

This implies, X = 9-2-4 = 3

So, the three digit number will be 432.

Verify - 432/9 = 48

Hence proved

Answer:

4(x - 1) = 6(x + 3)

x = -11

Step-by-step explanation:

x represents “the number” so we would substitute this with a variable.

(I hope this helps! Have a great day AND STAN BTS)

Complete Question

The complete question is  shown on the first uploaded image

Answer:

Option D is the correct answer

Step-by-step explanation:

   Now looking at the bar chart we see that a greater number of employee over the age of 45 preferred the 4-day work week compared to the number of employee between 30- 45 who preferred to have a flexible work hour and employee below 30  who' s preference are the same for both type of work hours

Answer:

C

Step-by-step explanation:

(x, y) -> (1/2x, 1/2y)

When you dilate a side, point, etc, you are multiplying the original dimension by the scale factor. That is represented in option C: the original x and y are multiplied by the scale factor, 1/2! Hope that helps! :)

Answer:

C. (x,y) → (1/2x,1/2y)

Step-by-step explanation:

Dialation means to multiply each coordinate by scale factor and in this case it's 1/2

Answer:

The standard deviation for the number of delinquent mortgages in the sample is 1.08.

Step-by-step explanation:

For each mortgage, there are only two possible outcomes. Either it is delinquent, or it is not. The probability of a mortgage being delinquent is independent of other mortgages. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

21% of U.S. mortgages were delinquent last year.

This means that [tex]p = 0.21[/tex]

A random sample of seven mortgages was selected.

This means that [tex]n = 7[/tex]

What is the standard deviation of this distribution

[tex]\sqrt{V(X)} = \sqrt{7*0.21*0.79} = 1.08[/tex]

The standard deviation for the number of delinquent mortgages in the sample is 1.08.

Answer:

answer B [tex]\boxed{ \ 569 \ }\\[/tex]

Step-by-step explanation:

f(8)=-2*8+5=-11

g(8)=9*8*8+4=580

f(8)+g(8)= -11+580=569

Answer:

i

Step-by-step explanation:

Answer:

7/30

Step-by-step explanation:

Answer:

Se requiere un 20 por ciento de descuento.

Step-by-step explanation:

(This exercise has been presented in Spanish and for that reason explanation will be held in the same language)

Sea [tex]p_{o}[/tex] el precio original del computador portatil, el nuevo precio es:

[tex]p_{1} =\left(\frac{100\,\% + 25\,\%}{100\,\%} \right)\cdot p_{o}[/tex]

[tex]p_{1} = 1.25\cdot p_{o}[/tex]

Si [tex]p_{2} = p_{o}[/tex], entonces el porcentaje requerido para recuperar el precio original es:

[tex]r = \left(1-\frac{p_{2}}{p_{1}} \right)\times 100\,\%[/tex]

[tex]r = \left(1-\frac{p_{o}}{1.25\cdot p_{o}} \right)\times 100\,\%[/tex]

[tex]r = \left(1-\frac{1}{1.25} \right)\times 100\,\%[/tex]

[tex]r = 20\,\%[/tex]

Se requiere un 20 por ciento de descuento.

Answer:

a. P(CWC)=0.046875

b.  P(WCC)=0.046875

    P(CCW)=0.046875

c. P=0.140625

Step-by-step explanation:

By the rule of multiplication there are 64 forms to answer three questions. This is calculated as:

    4 _          *            4               *             4            = 64

1st question      2nd question     3rd question

Because there are 4 options for every question. At the same way, from that 64 options, 3 are CWC and it is calculated as:

    1 _          *            3               *             1            = 3

1st question      2nd question     3rd question

Because there is just one answer that is correct for the first question, there are 3 answers wrong for the second question and there are 1 answer correct for the third question.

So, the probability P(CWC) is equal to:

[tex]P(CWC)=\frac{3}{64}=0.046875[/tex]

Then, the complete list of the different possible arrangements of two correct answers and one wrong answer are: CWC, WCC and CCW

Therefore, the probabilities P(WCC) and P(CCW) are calculated as:

[tex]P(WCC)=\frac{3*1*1}{64}=\frac{3}{4}= 0.046875[/tex]

[tex]P(CCW)=\frac{1*1*3}{64}=\frac{3}{4}= 0.046875[/tex]

Finally, the probability of getting exactly two correct answers is the sum of the probabilities calculated before.

[tex]P=P(CWC)+P(WCC)+P(CCW)\\P=0.046875+0.046875+0.046875\\P=0.140625[/tex]

Answer:

13 miles

Step-by-step explanation

27 miles in 2 hours

x miles in 1 hours

2x=27

x=13.5

Answer:

The onject 1/8 of the length of the path 3/4 in second.

Using the ratio and proportion to find the total time does it take the object to travel the entire length of the path as following

Length:time

X:(total time )

Total time x.(3/4)/(1/8x)=(3/4)/(1/8) = 6 seconds

Answer:

930.91

Step-by-step explanation:

931 x 99% = 921.69

921.69 x 101% = 930.9069

Answer:

930.91

Step-by-step explanation:

931*99%=921.69

921.69*101=930.91

Answer:

Step-by-step explanation:

Total surface of the cube = 6a²

                                          = 6 * 42 * 42

                                          = 10584 cm²

Hole that is drilled out, will make a cylinder shape in the middle of the cube

Volume  of iron in the cube = Volume of cube  - volume of cylinder

Volume of cube = a³

                          = 42 * 42 * 42

                         = 74088 cm³

Cylinder:

r = 14/2 = 7 cm

h = sideof the cube = 42 cm

Volume = πr²h

            [tex]=\frac{22}{7}*7*7*42\\\\=22*7*7*6[/tex]

           = 6468 cm³

Volume  of iron in the cube = Volume of cube  - volume of cylinder

                                             = 74088 - 6468

                                             = 67620 cm³

Answer:

π

Step-by-step explanation:

Answer:graph C is the answer because if you put the both values from the graph it satisfies the equation

Answer:

Graph C

Step-by-step explanation:

The given equation is in the form y=mx+b

This is slope-intercept form.

This is where m represents the slope, and b represents the y-intercept.

Therefore, the slope is 3 and the y-intercept is 2.

Let's first name all the equations with a y-intercept of 2.

That would be B and C.

Now, let's find the equation with a slope of 3.

Let's find the slope for B.

The formula for slope is: y1-y2/x1-x2

A point is: (x coordinate, y coordinate)

In the formula,

y1 is the y coordinate of the first point

y2 is the y coordinate of the second point

x1 is the x coordinate of the first point

x2 is the x coordinate of the second point

This said, we can plug our points in.

6-2/2-0

4/2

2

The slope for Graph B is 2, so it is incorrect.

Let's find the slope for Graph C.

2-(-1)/0-(-1)

2+1/0+1

3/1

3

The slope for Graph C  is 3, and it has a y-intercept of 2, so Graph C is the correct choice.

Answer:

x=2

Step-by-step explanation:

f(x) = -3x + 5.

f(x) =-1

-1 = -3x+5

Subtract 5 from each side

-1 -5 = -3x+5-5

-6 = -3x

Divide each side by -3

-6/-3 = -3x/-3

2 =x

Answer:

159,720

Step-by-step explanation:

Calculation of how many different value meal packages are possible at Ron's Subs :

The meal package at Ron's Subs are:

Drink 66

Sandwich 55

Bag of chips 44

Since we are looking for the how many different value meal packages are possible that means we have to multiply all the three value meal package with each other.

Hence,

Drink 66 ×Sandwich 55 ×Bag of chips 44

=159,720

Therefore 159,720 is the number of different value meal packages that are possible at Ron's Subs

Answer:

$4.20

Step-by-step explanation:

Calculation for the standard deviation of the fare passengers pay of Blue Cab Company:

T = Total amount of the cab fare

Formula for Standard deviation of T will be:

T = σa+bX= bσX.

To convert the rate to dollars per mile from dollars per tenth of a mile, it will be:

b= 3

Hence,

Standard deviation of T is :

3.00(1.4) = $4.20.

Answer:

  6750 - 3894 = 2856

Step-by-step explanation:

You have to make use of the arithmetic facts you know.

The least-significant asterisk must be 0, because the sum of 4 and 6 is 10.

The 10s asterisk must be 9,so that the sum 5 + 9 + 1 has a least-significant digit of 5.

The 100s asterisk must be 7, because that is the least-significant digit of the sum 8 + 8 + 1 = 17.

The 1000s asterisk must be 3, so that 2 + 3 + 1 = 6.

(The "1" in each of these sums is the carry from the sum of the digits with the next lower place value.)

So, the subtraction problem is ...

  6750 - 3894 = 2856

_____

Comment on the solution method

For the most part, we worked this as an addition problem. The sum of the last two numbers must be equal to the first: 6570 = 3894 +2856. For some of us, addition facts are easier to work with than subtraction facts. The carry/borrow can be less confusing that way.

Answer:

V(r) is the volume of basketball when the radius is r.

Answer:

B. the volume of the basketball when the radius is r

Step-by-step explanation:

Answer:

Step-by-step explanation:

so much for bein a college student.

Answer:

[tex]f(x)=0.2\,(x-2)^2+1[/tex]

Option "B" as per the list of possible answers

Step-by-step explanation:

Notice that the parabola has a minimum at the point (2, 1), therefore first look at which of the options gives you  [tex]f(2) = 1[/tex]. You would be able then the discard the last two functions listed (they render "-1" (not 1) for x = 2.

Now to decide between the first and the second option, notice that the first option has a negative coefficient (-0.2) multiplying the perfect square [tex](x-2)^2[/tex] which means that the branches of such parabolic function would be pointing down. So you discard the first option, and now the only one left is the second option:

[tex]f(x)=0.2\,(x-2)^2+1[/tex]

which you can check briefly by evaluating a couple of easy points  (like what values you get for x = 0, and at x = 4, and confirm it is the correct option.

Answer:

D

Step-by-step explanation:

Answer:

2.17% of students who received a merit scholarship did not receive enough to cover full tuition

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 3464, \sigma = 489[/tex]

If the cost of full tuition was $4450 last year, what percentage of students who received a merit scholarship did not receive enough to cover full tuition?

This is 1 subtracted by the pvalue of Z when X = 4450. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{4450 - 3464}{489}[/tex]

[tex]Z = 2.02[/tex]

[tex]Z = 2.02[/tex] has a pvalue of 0.9783.

1 - 0.9783 = 0.0217

2.17% of students who received a merit scholarship did not receive enough to cover full tuition

Question:

The geometric sequence ; is defined by the formula: [tex]a_1 =10[/tex] ; [tex]a_i =a_{i-1} * \frac{9}{10}[/tex] Find the sum of the first 75 terms in the sequence .

Answer:

[tex]S_{75} = 99.963001151[/tex]

Step-by-step explanation:

Given

[tex]a_1 =10[/tex]

[tex]a_i =a_{i-1} * \frac{9}{10}[/tex]

Required

Find the sum of 75 terms

Given that the sequence is geometric;

First, the common ratio has to be calculated;

The common ratio is defined as follows;

[tex]r = \frac{a_{i}}{a_{i-1}}[/tex]

Let [tex]i = 2[/tex]

[tex]r = \frac{a_{2}}{a_{2-1}}[/tex]

[tex]r = \frac{a_{2}}{a_{1}}[/tex]

So,

[tex]a_i =a_{i-1} * \frac{9}{10}[/tex] becomes

[tex]a_2 =a_{2-1} * \frac{9}{10}[/tex]

[tex]a_2 =a_{1} * \frac{9}{10}[/tex]

Divide through by [tex]a_1[/tex]

[tex]\frac{a_2}{a_1} =\frac{a_{1} * \frac{9}{10}}{a_1}[/tex]

[tex]\frac{a_2}{a_1} = \frac{9}{10}[/tex]

Recall that [tex]r = \frac{a_{2}}{a_{1}}[/tex]

So, [tex]r = \frac{9}{10}[/tex]

Given that r < 1;

The sum of n terms is calculated as thus;

[tex]S_n = \frac{a(1-r^n)}{1-r}[/tex]

To calculate the sum of the first 75 terms, we have the following parameters

[tex]n = 75\\a = a_1 = 10\\r = \frac{9}{10} = 0.9[/tex]

[tex]S_n = \frac{a(1-r^n)}{1-r}[/tex] becomes

[tex]S_{75} = \frac{10(1-0.9^{75})}{1-0.9}[/tex]

[tex]S_{75} = \frac{10(1-0.9^{75})}{0.1}[/tex]

[tex]S_{75} = 100(1-0.9^{75})[/tex]

[tex]S_{75} = 100(1-0.00036998848)[/tex]

[tex]S_{75} = 100(0.99963001151)[/tex]

[tex]S_{75} = 99.963001151[/tex]

Answer:

73.2 miles i am not so sure

Step-by-step explanation: