(Worth 50 points. Don't post your answer unless you have good ideas) Solve the following problem:
Which triangles are similar ?

17 is the answer

h0pe this helped :>

Answer:

(x+2)² - 11

Step-by-step explanation:

Regroup terms

x² + 4x - 7

(x² + 4x) - 7

Complete the square

 coefficient of x term: 4

 divide coefficient in half: 2

 square it: 2²

 use 2² to complete the square:

(x² + 4x) - 7 = (x² + 4x + 2²) - 2² - 7 = (x+2)² - 11

Answer:

a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.

b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00

c) 90% of sample means will occur between $26.1 and $28.9.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]

a. What is the likelihood the sample mean is at least $30.00?

This is 1 subtracted by the pvalue of Z when X = 30. So

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

By the Central Limit Theorem, we have that:

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

[tex]Z = \frac{30 - 27.5}{0.85}[/tex]

[tex]Z = 2.94[/tex]

[tex]Z = 2.94[/tex] has a pvalue of 0.9984

1 - 0.9984 = 0.0016

0.0016 = 0.16% probability that the sample mean is at least $30.00.

b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?

This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So

From a, when X = 30, Z has a pvalue of 0.9984

When X = 26.5

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

[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]

[tex]Z = -1.18[/tex]

[tex]Z = -1.18[/tex] has a pvalue of 0.1190

0.9984 - 0.1190 = 0.8794

0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.

c. Within what limits will 90 percent of the sample means occur?

Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645

Lower bound:

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

[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]

[tex]X - 27.5 = -1.645*0.85[/tex]

[tex]X = 26.1[/tex]

Upper Bound:

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

[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]

[tex]X - 27.5 = 1.645*0.85[/tex]

[tex]X = 28.9[/tex]

90% of sample means will occur between $26.1 and $28.9.

Answer:

6 cm² is correct answer

because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.

Answer:

147

Step-by-step explanation:

Answer:

Step-by-step explanation: I think I know:7A+10B=222_5&-&6&6&656&&6&&5&5&&5'5'-6-

Answer:

Step-by-step explanation:

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour

Answer:

[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]

Step-by-step explanation:

Unit rate is a ratio that compares two measurements.

Denominator is 1

[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]

Answer:

the opposite of 10 is -10 that's the best i could do for ya my bad hope this still helps.

Step-by-step explanation:

Answer:-10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Choose which type of description is used in each example.

Planets surrounded by rings in our solar system include Jupiter, Saturn, Uranus, and Neptune.

✔ example

Saturn has fifty-three moons, more than any other planet in the solar system.

✔ characteristic

Planets do not give off light themselves; instead, light is reflected off of them.

✔ feature

Step-by-step explanation:

Answer:

$7 a pound

Step-by-step explanation

$35 dollars in total two 2.5 pounds is 2 x 2.5 = 5 then its 35/5=$7

Answer:

The coordinates of Y' and Z' are, respectively Y'(6,-1) Z'(-2,0)

Step-by-step explanation:

Translations

A given point A(x,y) when translated by the rule (h,k) maps to A'(x+h,y+k).

We are given the point X(3,-2) and its image at X'(2,-4). The rule for the translation used is:

(h,k)=(2,-4)-(3,-2)=(2-3,-4+2)=(-1,-2)

If we apply the same translation to the point Y(7,1) we get the image Y'(7-1,1-2)=Y'(6,-1).

If we apply the same translation to the point Z(-1,2) we get the image Z'(-1-1,2-2)=Z'(-2,0).

The coordinates of Y' and Z' are, respectively Y'(6,-1) Z'(-2,0)

Answer: Bianca is right.

Step-by-step explanation: f(x) and g(x) means the function of x(input) which is basically y(output). You know they are not the same because the 3 is separate in the first equation. You can pick any ordered pair for an input and output, I chose (4,5). You replace all x’s with 4 and y’s with 5. Solve by using order of operations and you’ll be able to back up your answer. [f(x): 5= 6 g(x): 5= 3.5]

Answer:

75,600 m/h (21 m/s, 0.02 km/h)

Step-by-step explanation:

Hey there!

The answer to your question is [tex]21 mps[/tex]

To find the rate of speed, we have to find the meters per second, or mps. The formula for this is  [tex]\frac{distance}{time} = speed[/tex]. So:

[tex]\frac{63}{3} = s[/tex]

[tex]21 = s[/tex]

This means that the speed is 21 meters per second, or 21 mps.

Hope it helps and have an amazing day!

Answer:

(7x+3) (x-1)

hope this helps!!:)

Step-by-step explanation:

Answer: $75

Step-by-step explanation: If interest earned on an account in 2 years is $15, then after 10 years, the interest would be $75.

We can know this because, if we divide $15 by 2, we get the amount of interest the account makes in 1 year.

15/2 = $7.50. The account makes $7.50 interest pear year.

We want to know how much interest the account will make in 10 years, simply multiply 7.50 by 10.

$7.50 x 10 = $75 in 10 years.

Answer:

C

Step-by-step explanation:

P-25

Answer:

Subsitute (nothing hard)

5-7(9*9-3*3)

Combine

5-7(72)

Distibute left to right

-7*72= -504

5-504

-499

Answer:

1. 10.8 radians

2. 236.3 meters

Step-by-step explanation:

The restaurant at the top of a very tall building in Seattle rotates 1.02 revolutions every hour. Chelsea sits 21.9 m from the center of the restaurant near a window.

1. Through how many radians does Karen turn in 101 minutes?

1 revolution = 360°

Hence since Seattle rotates 1.02 revolutions every hour

Step 1

We convert to degrees per minute

= (360 × 1.02 revolutions/hour)/60 minutes

= 6.12 degrees per minute

Step 2

Convert to radians

Number of minutes = 101 minutes

Hence:

(6.12 degrees per minute × 101 ) × π/180

= 10.788229172 radians

Approximately = 10.8radians

2. How far does Karen move in 101 minutes?

We are to calculate the distance in question 2.

We know that: Chelsea sits 21.9 m from the center of the restaurant near a window.

Therefore,

2 × π × 2.19m = 137.60175823

[6.12 degrees per minute × 101 minutes × 137.60175823]/360

= 236.26221888 meters

Approximately = 236.3 meters

Answer:

the x intercept is -3

or (-3,0)

Step-by-step explanation:

the x intercept is the point where the line crosses the x axis. The y value is zero, while x is a number.

Therefore, we can make y equal 0 in the function y=1/3x+1, since the point will pass through the line.

0=1/3x+1

subtract 1 from both sides

-1=1/3x

multiply by 3

-3=x

Therefore the x intercept is -3.

As a point is (-3,0)

hope this helps!

Answer:

The total surface area is 973.89 ft

Step-by-step explanation:

The formula for the surface area of a cylinder is A=2πrh+2πr2.

The top cylinder has a radius of 5 ft, and height of 2 ft.

The bottom cylinder has a radius of 10 ft, and a height of 2 ft.

Plug in the numbers for each and you get:

Top Cylinder:

A=2π(5)(2)+2π(5^2)

A=2π(10)+2π(25)

A= 62.83185307 + 157.079327

A= 219.9111801

A≈ 219.91

Bottom Cylinder:

A= 2π(10)(2)+2π(10^2)

A= 2π(20)+2π(100)

A= 125.6637061 +  628.3185307

A= 753.9822368

A≈ 753.98

Combined:

753.98 + 219.91 = 973.89

Answer:

a) the required percentage is 32.64%

b) the cutoff for the highest 15% of annual returns with this portfolio  is 49.02%

Step-by-step explanation:

Given that;

mean μ = 14.7 %

standard deviation σ =33%

a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?

P( portfolio lose money )

= P( x< 0) P( 0-14.7 / 33 )

P( Z < -0.45 ) =  0.3264 ≈ 32.64%

Therefore, the required percentage is 32.64%

b)

the cutoff for the highest 15% of annual returns with this portfolio will be:

P( X ≥ x) = 15%

1 - P(X ≤ x) = 0.15

P(X ≤ x) = 0.85

P(Z ≤ x-14.7 / 33 ) = 0.85 ----------let this be equation 1

form tables, P(Z ≤ 1.04) = 0.85 -----LET THIS BE EQU 2

from the equations;

(x-14.7 / 13 ) = 1.04

33 × 1.04 = x-14.7

34.32 = x-14.7

x = 34.32 + 14.7

x = 49.02%

Therefore, the cutoff for the highest 15% of annual returns with this portfolio  is 49.02%

Answer:

Step-by-step explanation:

lets have one side =a

P=3a+a+(17+a)=52

P=5a+17=52

5a=52-17

5a=35

a=7

second side=21

third side=24

Answer:

A

Step-by-step explanation:

Answer: x= 3π/2

Hope this helps.... Stay safe and have a great rest of the weekend!!! :D

Answer:

Step-by-step explanation:

I NEED HELP PLEASE

Answer:

Rise over Run

Step-by-step explanation:

You need to find the rise over run. Find a point where the line crosses a set of points on the graph. Then find another point on the graph where the line crosses. start at the bottom point and count up till you get even to where the point is. then count over till you get to the point. That is your rise over run. Now simplify the rise over run. You should get a number and that is how you can tell if if a lines slope is equal to 1, greater than 1, or less than 1.

Hope this Helps!

What was the answer

Answer:D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To do this first find how many square feet are in the area. You can do this by multiplying 450 * 650 = 292500.

Next, divide by 32 to find how many sections of 23 people there are.

292500 / 32 =  9140.625

Lastly, multiply by 23 to find how many people can stand in the area.

9140.625 * 23 = 210,234.375 which rounds to C. 210,234 people