A survey asked people of different ages whether they get their news by reading the paper. What is the probability that a person surveyed is under 40 and gets the news by reading the paper?

Answer:

63.62

Step-by-step explanation:

pie X r^2

Answer:

C

Step-by-step explanation:

The cost of 5 notebooks (5x)

Less than (<)

The cost of 3 notebooks (3x)

Plus a 2 dollar pen (2)

All together: 5x < 3x + 2

Matches with the given expression.

Answer:

p(x) = x^2 - 8x + 41

Step-by-step explanation:

If a polynomial with rational coefficients has a complex root, then the roots come in complex conjugate pairs. If the polynomial we need to find has the root 4 - 5i, then it must also have its complex conjugate 4 + 5i as a root.

p(x) = [x - (4 - 5i)][x - (4 + 5i)]

p(x) = [(x - 4) + 5i][(x - 4) - 5i]

Now it's a difference of two squares.

p(x) = (x - 4)^2 - (5i)^2

p(x) = x^2 - 8x + 16 + 25

p(x) = x^2 - 8x + 41

Answer:

4

a. 12

b. 8

c. 30

d. 40

Step-by-step explanation:

each exterior = 360/n

30*n=360

divide both side by 30

Answer is 12

The same apply to others to 4d

so first its 4

a. 12

b. 8

c. 30

d. 40

i will try to explain:

each exterior = 360/n

30*n=360

divide both side by 30

Answer is 12

The same apply to others to 4d

Answer:

7.5 percent of 57.60 is 4.32

I hope this helps. :D

Answer:

43.96

Step-by-step explanation:

Well, the first step is finding out the diameter. And then the basic outline is d x 3.14. So I simply just punched in 14 x 3.14 in my calculator.

Answer:

14π cm

Step-by-step explanation:

Circumference of the circle

= 2πr

= 2π(14/2)

= 14π cm

Answer:

[tex]f(x)=2(x-2)(x^2+64)[/tex]

Step-by-step explanation:

A standard polynomial in factored form is given by:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where p and q are the zeros.

We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.

First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.

Therefore, we acquire:

[tex]f(x)=a(x-(2))(x-(-8i))(x-(8i))[/tex]

Simplify:

[tex]f(x)=a(x-2)(x+8i)(x-8i)[/tex]

Expand the second and third factors:

[tex]=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64[/tex]

Hence, our function is now:

[tex]f(x)=a(x-2)(x^2+64)[/tex]

It equals 320 when x = 4. Therefore:

[tex]320=a(4-2)(4^2+64)[/tex]

Solve for a. Evaluate:

[tex]320=(2)(80)a[/tex]

So:

[tex]320=160a\Rightarrow a=2[/tex]

Our third-degree polynomial equation is:

[tex]f(x)=2(x-2)(x^2+64)[/tex]

Answer:

f(x)=2(x-2)(x^2+64)

Step-by-step explanation:

Answer:

the answer is C.  5 cubic in

Step-by-step explanation:

V = LWH

length is 2 (1/2 in)

width is 5 (1/2 in)

height is 4 (1/2 in)

V = (2/2) (5/2) (2)

V = 1 * 5/2 * 2

V = 5 cubic in

Answer:

6m-2m+12 and 4(m+3)

Step-by-step explanation:

4(m+12)=4m+48❎

3m-m+12=2m+12❎

6m-2m+12=4m+12✅

4(m+3)=4m+12✅

Answer:

d. 9x + 63 and 63 square feet

Step-by-step explanation:

Given

Original

[tex]Length = x[/tex]

[tex]Width = 9[/tex]

Extended

[tex]Length = x + 7[/tex]

[tex]Width = 9[/tex]

[tex]Area = 9(x + 7)[/tex]

Required

Determine an expression and the value of the extended area

First, we calculate the area of the original desk

[tex]A_1 = x * 9[/tex]

[tex]A_1 = 9x[/tex]

From the given parameters, we have:

[tex]Area = 9(x + 7)[/tex] --- area of the new surface

Open bracket

[tex]Area = 9x + 63[/tex]

The area of the new surface is the summation of the area of the original desk and the area of the extended portion (E)

So:

[tex]Area = A_1 + E[/tex]

Make E the subject

[tex]E= Area - A_1[/tex]

[tex]E= 9x + 63 - 9x[/tex]

[tex]E= 63[/tex]

Hence, the area of the extended portion is 63

Answer:

The percentage change from 98 to 80 is -18.37 %

Step-by-step explanation:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((80 - 98) / 98) * 100 = -18.37 %

Answer:

Step-by-step explanation:

2/5 = 0.4

2/4 = 0.5

0.5 - 0.4 = 0.1

Sally picked 1/10 of a basket more than Maggie picked

Answer:

1 this could change depending on how many berries are in each basket

Step-by-step explanation:

2/5 = 0.4

2/4 = 0.5

Answer:

h=1/10

Step-by-step explanation:

Answer:

Step-by-step explanation:It isn’t. There are really 4 different versions of the exponential function. Positive (like the growth of money invested at 5%), negative (like the US debt constantly becoming more negative), positive decay (like the half life of a radioactive element), or negative decay ( pay half your loan amount in year 1, 1/4 in year two, 1/8 in year three, you in theory will never pay your loan completely but the debt is growing closer to zero.

Answer:

Interest = [tex] \boxed{\$ 789.75} [/tex]

Explanation:

Interest [I] = principle × rate × time [prt]

______________________________

x% = x/100

a b/c = a + (b/c) = (ac + b) / c

______________________

I = prt

I = ($1,950)(4 ½%)(9)

I = ($1,950)(0.045)(9)

I = ($87.75)(9)

I = ($789.75)

I = $789.75

Answer:

Approximately 256,140 recent college graduates have accumulated a student loan of more than $30,000.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Average cumulative debt of recent college graduates is about $22,500, standard deviation of $7,000.

This means that [tex]\mu = 22500, \sigma = 7000[/tex]

Proportion more than 30000.

1 subtracted by the pvalue of Z when X = 30000. So

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

[tex]Z = \frac{30000 - 22500}{7000}[/tex]

[tex]Z = 1.07[/tex]

[tex]Z = 1.07[/tex] has a pvalue of 0.8577

1 - 0.8577 = 0.1423

Approximately how many recent college graduates have accumulated a student loan of more than $30,000?

0.1423 out of 1.8 million.

0.1423*1.8 = 0.25614 million = 256,140

Approximately 256,140 recent college graduates have accumulated a student loan of more than $30,000.

23.4 ft2

Step-by-step explanation:

jvuctctctcrxrxrxrxrxr

Answer:

Binomial probability, with [tex]n = 5, p = 0.352[/tex]

Step-by-step explanation:

For each time Mookie Betts went to bat, there were only two possible outcomes. Either he got a base-hit, or he did not. The probability of getting a hit on each at-bat is independent of any other at-bat. This means that 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.

His average was 0.352.

This means that [tex]p = 0.352[/tex]

Assume he has five times at bat tonight in the Red Sox-Yankees game.

This means that [tex]n = 5[/tex]

a. This is an example of what type of probability

Binomial probability, with [tex]n = 5, p = 0.352[/tex]

Step-by-step explanation:=x1430

Answer:

The 2 on the right because they don't cross and they are straight

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the rate of change is Rise/ Run

= Δy / Δx

= (y2 – y1) / (x2 – x1)

= (1 - (-1))/(-1 - (-2))

=2/1

=2

Answer:

18+(93-57)

18+(36)

54

Step-by-step explanation:

Multiply before addition.Using bodmas

Answer:

p = 16.8

[tex] r \geqslant 5.5[/tex]

Step-by-step explanation:

12)

p + 2.1 = 18.9

p = 18.9 - 2.1

p = 16.8

13)

[tex]r \geqslant 5.5[/tex]