Find the length of are ab

Answer:

c = 36.06

Step-by-step explanation:

a² + b² = c²

20² + 30² = c²

400 + 900 = c²

c² = 1300

[tex]\sqrt{c^2} =\sqrt{1300}[/tex]

c = 36.06

Answer:

i believe the answer is y =5

(13)^2 = (12)^2 +( y)^2

169= 144 + y^2

169-144= y^2

25= y^2

5 = y

Answer:

i think that's right

Step-by-step explanation:

Answer:

Yes.  The city has a lower proportion of accidents by 16-year-old male drivers than the national proportion (16.7% compared to 21%).

Step-by-step explanation:

a) Data and Calculations:

Number of 16-year-old males involved in driver accident during year 2000 = 210

Sample number of drivers = 1,000

National rate of accidents for 16-year-old males for every 1,000 drivers = 21% (210/1,000 * 100)

Random sample of 16-year-old male drivers in a Midwest city = 150

Number of them involved in driver-accidents = 25

Proportion of 16-year-old males involved in driver-accidents = 25/150 * 100 = 16.7%

The city's 16.7% proportion is lower than the national proportion of 21%.

Answer:

396.9

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

126/315

126/315×100/100=40/100

40

Answer:

How are you today?

im good

Have you had anything to eat?

hot pocket

What's ur fav color?

Blue and Black

I'm just here to talk. I hope everyone has been staying safe! ​

Step-by-step explanation:

Answer:

1 3/4 1

Step-by-step explanation:

Answer:

The height is 12 feet.

Step-by-step explanation:

The formula for area of a triangle is 1/2 ⋅ b (base) ⋅ h (height).

Now let's plug in the numbers.

According to the word problem, the base is 12 feet.

As of now, our equation is: 1/2 ⋅ 12 ⋅ h

The only number times 1/2 that would give you an answer of 72 is 144.

12⋅12 = 144.

This means the height is 12.

And, 1/2 ⋅ 12 ⋅ 12 ⋅ = 72.

Because the area of the triangle is 72, 72 is the number we are looking for.

Therefore, the height is 12.

I really hope this made sense, it was a bit rushed.

Answer:

If you mean what is the square root of 36, then the answer is 6.

6 × 6 = 36.

Remeber sqaure root means what two numbers multplied together equal another number. It is irrational when the number doesn't repeat or terminate.

Hope this helps!!

Answer:

1

Step-by-step explanation:

Given that,

[tex]a=3+2\sqrt{2}[/tex]

We need to find the value of [tex]a\times \dfrac{1}{a}[/tex].

So,

[tex]=3+2\sqrt{2} \times \dfrac{1}{3+2\sqrt{2}}\\\\=\dfrac{3+2\sqrt{2}}{3+2\sqrt{2}}[/tex]

As numerator and dinominator is same. It means,

[tex]=\dfrac{3+2\sqrt{2}}{3+2\sqrt{2}}\\\\=1[/tex]

So, the value of the given expression is equal to 1.

Answer:

4 = function

5 = function

6 = not a function

Step-by-step explanation:

The first two pass the vertical line test

while the last ne doesn't

Given:

The equation is:

[tex]\log_{(x-2)}(x^2-4x-6)=\dfrac{4}{5}[/tex]

To find:

The exponential equation of the given logarithmic equation.

Solution:

We have,

[tex]\log_{(x-2)}(x^2-4x-6)=\dfrac{4}{5}[/tex]

According to property of logarithm,

[tex]\log_ax=b\Leftrightarrow x=a^b[/tex]

Using the property of logarithm, we get

[tex]x^2-4x-6=(x-2)^{\frac{4}{5}}[/tex]

Therefore, the required exponential equation is [tex]x^2-4x-6=(x-2)^{\frac{4}{5}}[/tex].

Answer:

Option A

Step-by-step explanation:

The complete question is

The pentagon ABCDE is graphed on a coordinate plane with vertices A(0, 0), B(3, 5), C(3, 8), D(8, 5), and E(8, 0). What is the pentagon's perimeter?

Solution -

We will find the length of all the sides of pentagon and then add them  

Length of AB = Sqrt ((3-0)^2+(5-0)^2) = Square root of 9+25 = 5.83

Length of BC = Sqrt ((3-3)^2+(8-5)^2) = Square root of 9 = 3

Length of CD = Sqrt ((8-3)^2+(5-8)^2) = Square root of 5^2+-3^2

= 5.83

Length of DE = Sqrt ((8-8)^2+(0-5)^2) = Square root of 25 = 5

Length of EA = Sqrt ((8-0)^2+(0-0)^2) = Square root of 64= 8

Perimeter=8+5+5.83+5.83+3= 27.66 units  =27.66 units

Option A

Answer:

40 sq. units

Step-by-step explanation:

Answer:

2π/3 radians is equal to 120°.

Step-by-step explanation:

In this problem, we need to convert the angle 2π/3 radians to degrees.

The relation radian and degree is given by :

[tex]D=\dfrac{180}{\pi}\times R[/tex]

Substitute all the values,

[tex]D=\dfrac{180}{\pi}\times \dfrac{2\pi }{3}\\\\D=120^{\circ}[/tex]

So, 2π/3 radians is equal to 120°.

Answer:

Step-by-step explanation:

7 red roses

4 white roses

the answer would be 4 to 7, 4/7, and 4:7

I hope this helps!

Answer:

a) By the Central Limit Theorem, it is approximately normal.

b) The standard error of the distribution of the sample mean is 1.8333.

c) 0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.

d) 0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours

e) 0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours

Step-by-step explanation:

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

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.

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.

Mean of 36 hours and a standard deviation of 5.5 hours.

This means that [tex]\mu = 36, \sigma = 5.5[/tex]

a. What can you say about the shape of the distribution of the sample mean?

By the Central Limit Theorem, it is approximately normal.

b. What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.)

Sample of 9 means that [tex]n = 9[/tex]. So

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{5.5}{\sqrt{9}} = 1.8333[/tex]

The standard error of the distribution of the sample mean is 1.8333.

c. What proportion of the samples will have a mean useful life of more than 38 hours?

This is 1 subtracted by the pvalue of Z when X = 38. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{38 - 36}{1.8333}[/tex]

[tex]Z = 1.09[/tex]

[tex]Z = 1.09[/tex] has a pvalue of 0.8621

1 - 0.8621 = 0.1379

0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.

d. What proportion of the sample will have a mean useful life greater than 34.5 hours?

This is 1 subtracted by the pvalue of Z when X = 34.5. So

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

[tex]Z = \frac{34.5 - 36}{1.8333}[/tex]

[tex]Z = -0.82[/tex]

[tex]Z = -0.82[/tex] has a pvalue of 0.2061.

1 - 0.2061 = 0.7939

0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours.

e. What proportion of the sample will have a mean useful life between 34.5 and 38 hours?

pvalue of Z when X = 38 subtracted by the pvalue of Z when X = 34.5. So

0.8621 - 0.2061 = 0.656

0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours

Answer: you are cheating :(?

So I won't help u sorry

Step-by-step explanation:

Answer:

-4 is your answer

Step-by-step explanation:

Answer:

sana all may jowa jowain na kita

Answer:

(mkkwkskskwkwskskwkwi

Answer:

area = 41 ft²

Step-by-step explanation:

area = (3x3) + (4x8) = 41 ft²

Answer:

D-2

Step-by-step explanation:

You can use elimination to get the value of y. Move numbers to one side and x and ys to the other side. To use elimination, multiply the first equation with 2. You will get 2x+2y=24. add it with the equation below. y will be eliminated and you will get the value of x. X=10. Plug in x and get the y value. Y=2

Answer:

The value of test statistic is F =  1.427

Step-by-step explanation:

The given data is

n1=9;      s1=17.8

n2=8       s2=14.9

1) And significance level is chosen to be  α = 0.05.

2) The null and alternate hypothesis are

H0: σ₁²=σ₂²  against the claim Ha: σ₁²≠σ₂²

The null hypothesis the population variances of Company A and Company B parts are equal.

against the claim

the population variances are not equal of the  two companies.

3) The critical region F∝(υ1,υ2) = F(0.025)8,7 >  4.9

where υ1= n1-1= 9-1= 8 and υ2= n2-1= 8-1= 7

4)Test Statistic

F = s₁²/s₂²

F= 17.8²/ 14.9²=  1.427

5) Conclusion :

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the population variances of Company A and Company B parts are not equal. Hence Ha is rejected and H0 is accepted.

your answer should be 0.80