the measures of the angles of a triangle are shown below. solve for x ​

Answer:

The bottom cutoff heights to be eligible for this experiment is 66.1 inches.

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 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.

Mean of 69.0 inches and a standard deviation of 2.8 inches.

This means that [tex]\mu = 69, \sigma = 2.8[/tex]

What is the bottom cutoff heights to be eligible for this experiment?

The bottom 15% are excluded, so the bottom cutoff is the 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.

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

[tex]-1.037 = \frac{X - 69}{2.8}[/tex]

[tex]X - 69 = -1.037*2.8[/tex]

[tex]X = 66.1[/tex]

The bottom cutoff heights to be eligible for this experiment is 66.1 inches.

Answer:

18+(93-57)

18+(36)

54

Step-by-step explanation:

Multiply before addition.Using bodmas

Answer:

1. he started with 15 and 5 per week. w is week

a is andre

a = 15 + 5w

Step-by-step explanation:

Answer: 1. Y= 5x + 15

2. Start at 15 and go up 5

3.when they both had the same amount of money at the same time

Step-by-step explanation:

Answer:

2.6>2.59 - Yes

2.09=2.9- No

Answer:

-5a*a^2

Step-by-step explanation:

(a)(-5*a)

-5a*a^2?

Answer:

its B and C

Step-by-step explanation:

Pierre and Jen collect badges. Pierre has 3 times as many badges as Je

This can be shown by p= 3j, where p = the number

Answer:

Step-by-step explanation:

the first picture shows that two sides are the same and one angle so you know it's a SAS,    the one tick mark and that the two trialge share one common side is how you know 2 sides are the same,  and the 90 °  corner symbol shows you know an angle in each , that is also the same.

the second picture shows 3 sides the same  so SSS,  the triangles share one side, and have the tick marks, showing that each of the respective sides are the same.  

:)

Answer:

The answer to part B is B.

Step-by-step explanation:

Could you take another photo so I can see the bottom of the page?

Answer:

-1,-3 is on quadrant 3

-1,7 is on quadrant 2

Step-by-step explanation:

Answer:

a) The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future us 0.58.

b) The margin of error is of 0.03.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Point estimate:

The point estimate is [tex]\pi[/tex].

Margin of error:

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

(a) What is the point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future.

579 out of 1007 adults. So

[tex]\pi = \frac{579}{1007} = 0.575[/tex]

Rounding to two decimal places, 0.58

The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future us 0.58.

(b) At 90% confidence, what is the margin of error

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.645\sqrt{\frac{0.58*0.42}{1007}}[/tex]

[tex]M = 0.03[/tex]

The margin of error is of 0.03.

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I hope this helps a bit.

Answer:

15

Step-by-step explanation:

x=2,z=6

2+6(4)-5-3(2)

2+24-5-6

26-11

15

x = 2 & z = 3x

Answer:

10 dollars

Step-by-step explanation:

he is racking in the money

Answer: move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.

Step-by-step explanation:

Answer:

Move the medium disk to the left peg.

Move the small disk to the left peg.

Move the large disk to the right peg.

Move the small disk to the middle peg.

Move the middle disk to the right peg.

Move the small disk to the right peg.

Step-by-step explanation:

Answer:

C=6.85+2.99m, where:

C is the total cost to watch the movies

m is the number of movies you watch

Step-by-step explanation:

From the information provided, you can say that the total cost to watch the movies would be equal to the one-time fee plus the result of multiplying the price per movie for the number of movies you watch, which can be expressed as:

C=6.85+2.99m, where:

C is the total cost to watch the movies

m is the number of movies you watch

Answer:

Step-by-step explanation:

Take the paying multiply by months then take the years - the total loan

so you'd have 568.97(12)30-150000=54829.20

9514 1404 393

Answer:

  -0004.00

Step-by-step explanation:

The segment has a "rise" of -4 units for the "run" of 1 unit between x=2 and x=3. Then the slope is ...

  slope = rise/run = -4/1 = -4

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i thing bbbbbbbbbbbbb

Here's link to the answer:

tinyurl.com/wpazsebu

Answer:

2.05

Step-by-step explanation:

Answer:

The quartile 3 is 0.3

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

X~Exp (0.2)

This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]

Find the quartile 3.

The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]

Since

[tex]P(X > x) = e^{-\mu x}[/tex]

[tex]e^{-5x} = 0.25[/tex]

[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]

[tex]-5x = \ln{0.25}[/tex]

[tex]x = -\frac{\ln{0.25}}{5}[/tex]

[tex]x = 0.277[/tex]

Rounding to the nearest tenth, the quartile 3 is 0.3.

Answer:

95

Step-by-step explanation:

88 + 95 + 97 + 100 = 380

380 ÷ 4 = 95

To find the average you add all the numbers together and then divide that answer depending on how many numbers there are for example there were 4  numbers in this problem so I divided by 4.

Hoped this helped you!! If you have any other questions about what I said you can ask me :) Have a great day!

Answer:

8 weeks

Step-by-step explanation:

Given data

Matteo

Amount= $400

Spending per week= $10

Hence his balance after x weeks is given as

y=400-10x-------------1

Luca

Amount= $200

Spending per week= $15

Hence his balance after x weeks is given as

y=200+15x-------------2

Equate 1 and 2

400-10x=200+15x

collect like terms

400-200=15x+10x

200=25x

x= 200/25

x= 8 weeks

Hence it will take 8 weeks

answer is 90Kg/m3

use this formula : Density = mass / volume

Answer:

The figure in the upper right corner.

A trapezoid has two parallel sides

Step-by-step explanation:

Answer:

The answer would be the shape on the right side on the top! NOT THE Rectangle (on the right bottom side)  or the rhombus (on the left top side). The shape on the left bottom side IS a trapezoid.

Hope that helps. And this wasnt worth 40 points, it was only 5 points!?

Answer:

0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year

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.

Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars

This means that [tex]\mu = 45, \sigma = 7[/tex]

What is the probability that a randomly selected firm will earn more than Arc did last year?

Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.

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

[tex]Z = \frac{59 - 45}{7}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year

Answer:

3.0 units

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Origin:

The origin is given by point (0,0,0).

Distance of point B to the origin:

Since the origin is all 0, just put the points into the square root.

[tex]D = \sqrt{2^2 + 4^2 + 8^2} = \sqrt{84} = 9.2[/tex]

9.2 units.

Distance of point A to the origin:

[tex]D = \sqrt{5^2 + 3^2 + 2^2} = \sqrt{37} = 6.1[/tex]

How much farther from the origin is point B than point A?

9.2 - 6.1 = 3.1 units

So approximately 3 units.

Answer:

a

Step-by-step explanation:

Answer:

(5 x 10^3) (9 x 10^7) = 5 × 9 × 10^3 × 10^7 = 45 × 10^10