In ΔUVW, the measure of ∠W=90°, the measure of ∠U=50°, and WU = 27 feet. Find the length of VW to the nearest tenth of a foot. HELPPP

Answer:

I dont see the question...

Step-by-step explanation:

Answer:

0.647 = 64.7% probability that none of them has lost electricity in his/her household

Step-by-step explanation:

For each household, there are only two possible outcomes. Either they lost electricity, or they did not. The probability of a household losing electricity is independent of any other household. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city.

This means that [tex]p = 0.07[/tex]

6 members

This means that [tex]n = 6[/tex]

What is the probability that none of them has lost electricity in his/her household?

This is P(X = 0). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{6,0}.(0.07)^{0}.(0.93)^{6} = 0.647[/tex]

0.647 = 64.7% probability that none of them has lost electricity in his/her household

Answer:

the answer is

x=22..........

Answer:

The doomsday is 146 days

Step-by-step explanation:

Given

[tex]\frac{dy}{dt} = ky^{1 +c}[/tex]

First, we calculate the solution that satisfies the initial solution

Multiply both sides by

[tex]\frac{dt}{y^{1+c}}[/tex]

[tex]\frac{dt}{y^{1+c}} * \frac{dy}{dt} = ky^{1 +c} * \frac{dt}{y^{1+c}}[/tex]

[tex]\frac{dy}{y^{1+c}} = k\ dt[/tex]

Take integral of both sides

[tex]\int \frac{dy}{y^{1+c}} = \int k\ dt[/tex]

[tex]\int y^{-1-c}\ dy = \int k\ dt[/tex]

[tex]\int y^{-1-c}\ dy = k\int\ dt[/tex]

Integrate

[tex]\frac{y^{-1-c+1}}{-1-c+1} = kt+C[/tex]

[tex]-\frac{y^{-c}}{c} = kt+C[/tex]

To find c; let t= 0

[tex]-\frac{y_0^{-c}}{c} = k*0+C[/tex]

[tex]-\frac{y_0^{-c}}{c} = C[/tex]

[tex]C =-\frac{y_0^{-c}}{c}[/tex]

Substitute [tex]C =-\frac{y_0^{-c}}{c}[/tex] in [tex]-\frac{y^{-c}}{c} = kt+C[/tex]

[tex]-\frac{y^{-c}}{c} = kt-\frac{y_0^{-c}}{c}[/tex]

Multiply through by -c

[tex]y^{-c} = -ckt+y_0^{-c}[/tex]

Take exponents of [tex]-c^{-1[/tex]

[tex]y^{-c*-c^{-1}} = [-ckt+y_0^{-c}]^{-c^{-1}[/tex]

[tex]y = [-ckt+y_0^{-c}]^{-c^{-1}[/tex]

[tex]y = [-ckt+y_0^{-c}]^{-\frac{1}{c}}[/tex]

i.e.

[tex]y(t) = [-ckt+y_0^{-c}]^{-\frac{1}{c}}[/tex]

Next:

[tex]t= 3[/tex] i.e. 3 months

[tex]y_0 = 2[/tex] --- initial number of breeds

So, we have:

[tex]y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}[/tex]

-----------------------------------------------------------------------------

We have the growth term to be: [tex]ky^{1.01}[/tex]

This implies that:

[tex]ky^{1.01} = ky^{1+c}[/tex]

By comparison:

[tex]1.01 = 1 + c[/tex]

[tex]c = 1.01 - 1 = 0.01[/tex]

[tex]y(3) = 16[/tex] --- 16 rabbits after 3 months:

-----------------------------------------------------------------------------

[tex]y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}[/tex]

[tex]16 = [-0.01 * 3 * k + 2^{-0.01}]^{\frac{-1}{0.01}}[/tex]

[tex]16 = [-0.03 * k + 2^{-0.01}]^{-100}[/tex]

[tex]16 = [-0.03 k + 0.9931]^{-100}[/tex]

Take -1/100th root of both sides

[tex]16^{-1/100} = -0.03k + 0.9931[/tex]

[tex]0.9727 = -0.03k + 0.9931[/tex]

[tex]0.03k= - 0.9727 + 0.9931[/tex]

[tex]0.03k= 0.0204[/tex]

[tex]k= \frac{0.0204}{0.03}[/tex]

[tex]k= 0.68[/tex]

Recall that:

[tex]-\frac{y^{-c}}{c} = kt+C[/tex]

This implies that:

[tex]\frac{y_0^{-c}}{c} = kT[/tex]

Make T the subject

[tex]T = \frac{y_0^{-c}}{kc}[/tex]

Substitute: [tex]k= 0.68[/tex], [tex]c = 0.01[/tex] and [tex]y_0 = 2[/tex]

[tex]T = \frac{2^{-0.01}}{0.68 * 0.01}[/tex]

[tex]T = \frac{2^{-0.01}}{0.0068}[/tex]

[tex]T = \frac{0.9931}{0.0068}[/tex]

[tex]T = 146.04[/tex]

The doomsday is 146 days

Answer:

5.42

Step-by-step explanation:

hope this helped!! :)

Answer:

Explanation:

f  (  − 3 )  basically means substitute  − 3  for  x  in the function  − 5 x

f

(

−

3

)

=

−

5

(

−

3

)

−

7

f

(

−

3

)

=

15

−

7

f

(

−

3

)

=8

Step-by-step explanation:

Answer:

x = 14

y = 18

Step-by-step explanation:

By the property of similar triangles,

If two triangles are similar their corresponding sides will be proportional.

[tex]\frac{AB}{EF}= \frac{AC}{GE}[/tex]

[tex]\frac{5}{10}=\frac{7}{x}[/tex]

x = [tex]\frac{70}{5}[/tex]

x = 14

Similarly, [tex]\frac{AB}{EF}= \frac{CB}{GF}[/tex]

[tex]\frac{5}{10}=\frac{9}{y}[/tex]

y = [tex]\frac{90}{5}[/tex]

y = 18

Answer:700

Step-by-step explanation:

Answer:

1,250 feet.

Step-by-step explanation:

1500-250=1250

Answer:

X = 90° , Y = 45°,  Z = 45°

Step-by-step explanation:

Answer:

The z-score for a person whose self-esteem score was 101.6 would be of -0.227.

Step-by-step explanation:

Z-score:

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.

Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108.

This means that [tex]\mu = 108[/tex]

The standard deviation of self-esteem scores was 28.15

This means that [tex]\sigma = 28.15[/tex]

What would the z score be for a person whose self-esteem score was 101.6

This is Z when X = 101.6. So

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

[tex]Z = \frac{101.6 - 108}{28.15}[/tex]

[tex]Z = -0.227[/tex]

The z-score for a person whose self-esteem score was 101.6 would be of -0.227.

Answer:

w = [tex]l + \frac{25 - l^{2}}{l - 5}[/tex]

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

Before we start the solving, we can make the following statements:

Area = l x w

Area = 5x + 25

therefore,

l x w = 5x + 25

Since the question states that the length is x more than the width, so we can make the following statement:

w = l + x

With this, we can substitute it to the first statement we made, l x w = 5x + 25,

l x (l + x) = 5x + 25

[tex]l^{2}[/tex] + lx = 5x + 25

lx - 5x = 25 - [tex]l^{2}[/tex]

x(l - 5) = 25 - [tex]l^{2}[/tex]

x = [tex]\frac{25 - l^{2}}{l - 5}[/tex]

From this, we can find w by substituting it in the statement we made earlier, w = l + x,

w = [tex]l + \frac{25 - l^{2}}{l - 5}[/tex]

Answer: D

Step-by-step explanation:

Answer: 20790

Step-by-step explanation:

╔═.✵.══════════╗

      A  N  S  W  E  R

╚══════════.✵.═╝

✩ ✩ ✩

It depends on the speed the car is going. If you are going 1 MPH you will drive a single mile per hour, but 2 MPH is 2 miles per hour. That's where the term "MPH" comes in, it tells you how many miles you will be driving per hour.

MPH = Miles Per Hour

Hope this helped, love!  ✩ ✩ ✩

Answer:

2/1 of a family

Step-by-step explanation:

Answer: True

Step-by-step explanation:

A supplementary angle refers to the angles that has a sum of 180° when they're added together.

We should note that a right angle equals to 90°, therefore the other angle in the supplementary angle will be:

= 180° - 90°

= 90°

Since a right angle equals 90°, then the other angle must be a right angle.

Therefore, the answer is TRUE.

Answer:

24.5

Step-by-step explanation:

Answer:

3 and 5, 15; 4 and 10, 20

Step-by-step explanation:

The lowest number divided by 3 and 5 is 15. Same for 4 and 10. The lowest number they can both be divided by is 20.

Answer:

63

Step-by-step explanation:

To find the area of a trapezoid you have to use the formula

a+b/2 h

So we would substitute them

3 + 15 / 2 x 7

Which would equal

63

Hope this helps :)

Answer:

0.8980 = 89.80% probability that a randomly selected firm will earn less than 109 million dollars

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.

Distributed normally, mean of 90 million, standard deviation of 15 million.

This means that [tex]\mu = 90, \sigma = 15[/tex]

What is the probability that a randomly selected firm will earn less than 109 million dollars?

This is the pvalue of Z when X = 109. So

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

[tex]Z = \frac{109 - 90}{15}[/tex]

[tex]Z = 1.27[/tex]

[tex]Z = 1.27[/tex] has a pvalue of 0.8980

0.8980 = 89.80% probability that a randomly selected firm will earn less than 109 million dollars

? + 31° + 94° = 180°

? + 125° = 180°

? = 180° - 125°

? = 55°

Answer: 52°

Step-by-step explanation:

Angles in a triangle always add up to 180°.

So to work out what the missing angle is, you would have to add 34 and 94 together.

34+94=128

Then you would have to take 128 away from 180.

180-128=52°

Hope this helps :)

Answer:

-1/2

Step-by-step explanation:

Answer:

the answer is the slope is -1/2

Answer:

1) 34 square meters

2) 21 square yards

Step-by-step explanation:

1) 7x4=28

1/2x3x2x2=6

28+6= 34 square meters

2)3x3=9

1/2x3x2x4=12

9+12= 21 square yards

Answer:

if you pit the shape in a straight line it would be 180 degrees now take 180 take 130 and 100 and subtract those add that to the other 30 then take 180 divided by 60

Answer:

x = 50°

Step-by-step explanation:

sum of exterior angles is always equal to 360°

so, we can add all the given numbers and set them equal to 360° to find x:

130° + 30° + 100° + x° + x° = 360°

260° + 2x = 360°

2x = 100°

x = 50°

Answer:

D, -42 multiply 6 on both sides

D. because when it is multiplied, the inequality is no longer true.

Answer:

[tex]log_{2\sqrt 2} X = \frac{1}{3}k[/tex]

Step-by-step explanation:

Given

Let the number be X

From the first statement, we have:

[tex]log_{\sqrt 2} X = k[/tex]

Required

Find [tex]log_{2\sqrt 2} X[/tex]

[tex]log_{\sqrt 2} X = k[/tex]

using the following law of logarithm

[tex]log_ab = n, b=a^n[/tex]

So:

[tex]log_{\sqrt 2} X = k[/tex]

[tex]X = \sqrt{2}^k[/tex]

Substitute: [tex]X = \sqrt{2}^k[/tex] in [tex]log_{2\sqrt 2} X[/tex]

[tex]log_{2\sqrt 2} X = log_{2\sqrt 2} ( \sqrt{2}^k)[/tex]

[tex]log_{2\sqrt 2} X = klog_{2\sqrt 2} \sqrt{2}[/tex]

Apply the following law:

[tex]log_ab = \frac{log\ b}{log\ a}[/tex]

[tex]log_{2\sqrt 2} X = k\frac{log\ \sqrt 2}{log\ {2\sqrt 2}}[/tex]

Express the square roots as power

[tex]log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2 * 2^\frac{1}{2}}}[/tex]

[tex]log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2^\frac{3}{2}}}[/tex]

using the following law of logarithm

[tex]log_ab = n, b=a^n[/tex]

[tex]log_{2\sqrt 2} X = k\frac{\frac{1}{2}log\ 2}{\frac{3}{2}log\ 2}}[/tex]

[tex]log_{2\sqrt 2} X = k\frac{\frac{1}{2}}{\frac{3}{2}}}[/tex]

Rewrite as:

[tex]log_{2\sqrt 2} X = k * \frac{1}{2} \div\frac{3}{2}[/tex]

[tex]log_{2\sqrt 2} X = k * \frac{1}{2} *\frac{2}{3}[/tex]

[tex]log_{2\sqrt 2} X = k * \frac{1}{1} *\frac{1}{3}[/tex]

[tex]log_{2\sqrt 2} X = \frac{1}{3}k[/tex]

Answer:

ANSWER

Step-by-step explanation: