I’ll mark brainliest

Answer:

The area of the circle in terms of π is:

Step-by-step explanation:

To find the area of that circle, you can use the equation:

Where:

Now, we can replace the given measurement in the equation:

That result is the same that to write:

By this reason, the result is 9/64 π in^2, giving the result in terms of π.

Question: Given f(x) = x + 1 and g(x) = x ^2, what is

( g o f) (x)?

Answer: (C)---(g o f) (x) = x^2 + x + 1

Why? I just took this quiz on Plato and this was the correct answer.

Hope this help's!!!

                                                               ~Kenzie~

Answer:

Solution given:

f(x) = x +1 and g(x) = x²,

now

(gºf)(x) =g(fx)=g(x+1)=(x+1)²

D) (gºf)(x) = (x + 1)^2

Answer:

A.// He has the side lengths in the wrong place in the cosine ratio.

Step-by-step explanation:

Answer:

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Step-by-step explanation:

The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[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]

In this question:

8 covered buckets, so N = 8.

4 buckets are selected, so n = 4.

2 contain a ball, which means that k = 2.

Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,8,4,2) = \frac{C_{2,2}*C_{6,2}}{C_{8,2}} = 0.2143[/tex]

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Answer:1 real solution

Step-by-step explanation:

Answer:

We reject  H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month

Step-by-step explanation:

Manufacturing process under control must produce items that follow a normal distribution.

Manufacturer information:

μ  =  51 months     mean lifetime

σ  =  7 months       standard deviation

Sample Information:

x  =  51 months

n  =  60

Confidence Interval  =  90 %

Then significance level  α  =  10 %  α  =  0.1    α/2  =  0,05

Since it is a manufacturing process the distribution is a normal distribution, and with   n = 60 we should use a Z test on two tails.

Then from z- table z(c) for  α = 0,05  is  z(c)  = 1.64

Hypothesis  Test:

Null Hypothesis                              H₀            x  =  μ

Alternative Hypothesis                  Hₐ            x ≠  μ

To calculate z statistics  z(s)

z(s)  =   (  x   -  μ )  / σ /√n

z(s)  =   (  53  -  51 ) / 7 /√60

z(s)  =  2 * 7.746 / 7

z(s)  = 2.213

Comparing  z(s)  and  z(c)

z(s)  >  z(c)   then  z(s)  is in the rejection region

We reject  H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month

Answer:  the minimum sample size needed = 145

Step-by-step explanation:

Formula for sample size:

[tex]Sample \ size =(\dfrac{z^*\times standard\ deviation}{margin \ of \ error})^2[/tex]

, where z* = Critical z-value

Given: Standard deviation = 2.15

Margin of error = 0.35

Z* for 95% confidence = 1.96

Sample size = [tex](\frac{1.96\times2.15}{0.35})^2[/tex]

[tex]=(12.04)^2\\\\=144.9616\approx145[/tex]

Hence, the minimum sample size needed = 145

Answer:

y = ½x -3

Step-by-step explanation:

_____________________

Answer:

Sophie will get $3.18 back in change.

Step-by-step explanation:

You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.

Answer:

the answer is in  

Step-by-step explanation:

9514 1404 393

Answer:

  7 1/75 football fields

Step-by-step explanation:

Multiply it out. The units of feet and yards cancel, leaving football fields.

  = (2104·1·1)/(3·100) football fields ≈ 7.0133... football fields

  = 7 1/75 football fields

Answer:

y = -1/3x + 7

Step-by-step explanation:

x + 3y = 9 ⇒ y = -1/3x + 3

Use point-slope form and substitute the values:

[tex]y-y_1=m(x-x_1)\\y-5=-\frac{1}{3}(x-6)\\y-5=-\frac{1}{3}x+2\\y=-\frac{1}{3}x+7[/tex]

Answer:

C

Step-by-step explanation:

To convert milli- to kilo-, move the decimal point six places to the left

Answer: Part A: Find a rational number that is between 9.5 and 9.7. Explain why it is rational.

Step-by-step explanation:

Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth

Answer:

a) The initial quantity is 2.9.

b) The initial quantity is 2.9.

c) The multiplier is 1.05 > 1, and thus, the quantity is growing.

Step-by-step explanation:

Exponential equations:

Have the following format:

[tex]A(t) = A(0)(k)^t[/tex]

In which A(0) is the initial amount and k is the multiplier.

If k > 0, the quantity is growing.

If k < 0, the quintity is decaying.

In this question:

[tex]P(t) = 2.9(1.05)^t[/tex]

a, b. The initial quantity is

P(0). So

[tex]P(0) = 2.9(1.05)^0 = 2.9*1 = 2.9[/tex]

The initial quantity is 2.9.

c. Is the quantity growing or decaying?

The multiplier is 1.05 > 1, and thus, the quantity is growing.

9514 1404 393

Answer:

  see below

Step-by-step explanation:

A proportional relationship is one in which the ratio of y to x is a constant for all non-zero values of x and y.

Of the tables shown here, this is the case only for the one shown below. It has ...

  y = 1.4x

Answer:

The middle one

Step-by-step explanation:

The middle one

y = (7/5)x

 x       y

 5      7

20    28

60    84

Answer: He will pay this amount, with interest, over a 4-year period payment that he must make After paying 20% as a down payment, they finance the Determine the monthly payments needed to amortize the loan and months, that payments can be made under each of the following options before the money runs out.

Step-by-step explanation:

Answer:

Equation: 4x + 30 + 2x + 6 = 180

Answer: x = 24

Step-by-step explanation:

The sum of the measures of supplementary angles is 180 deg.

Equation:

4x + 30 + 2x + 6 = 180

Solution:

4x + 30 + 2x + 6 = 180

Add like terms on the left side.

6x + 36 = 180

Subtract 36 from both sides.

6x = 144

x = 24

Answer:

X=24

Step-by-step explanation:

Supplementary angles = 180°

4x+30+2x+6=180

Combine like terms> 4x+2x=6x

Add: 30+6=36

6x+36=180.

Subtract 36 on both sides. > 36-36=0. 180-36=144.

Drop what you have left> 6x   144

Divide by 6. > 6/6= 1. 144/6=24.

X=24

Answer:

correct answer is c

Step-by-step explanation:

2.44x10^-3

Answer:

[tex]H_o:\mu = 395000[/tex]

[tex]H_a:\mu < 395000[/tex]

Step-by-step explanation:

Given

[tex]\mu = 395000[/tex] -- mean price

Required

Determine the null and alternate hypotheses

From the question, we understand that the mean price is:

[tex]\mu = 395000[/tex]

This represents the null hypothesis

[tex]H_o:\mu = 395000[/tex]

The belief that the home prices are lower represents the alternate hypothesis

Lower means less than

So, the alternate hypothesis is:

[tex]H_a:\mu < 395000[/tex]

Answer:

The correct option is (A).

Step-by-step explanation:

The given expression is :

[tex]\dfrac{14x^4y^6}{7x^8y^2}[/tex]

The numerator contains 14x⁴y⁶ and the denominator is 7x⁸y².

We can write it as :

[tex]\dfrac{14x^4y^6}{7x^8y^2}=\dfrac{7\times 2\times x^4\times y^2\times y^4}{7x^4\times x^4\times y^2}[/tex]

Canceling the common terms,

[tex]=\dfrac{2y^4}{x^4}[/tex]

So, the correct option is (A).

Answer:

x+5+\frac{1}{x-2}

X + 5 + 1/( x - 2)

Step-by-step explanation:

I would recomend using Symbolab to help you understand math like this in an easy step-by-step manner. It will take a while to explain so you can see how to solve these problems through that!

Answer:

Step-by-step explanation:

Given: The radius is 6 cm

To find the area + circumference we need to use 2 formulas:

Area: pi* radius^2

Circumference: 2*pi*r

First we can do the area

I will use "pi" for pi instead of 3.14

pi * 6^2

= 36 pi

The area is 36 pi

Next, circumference

2 * pi *r

2*pi*6

= 12 pi

So the area is 36 pi, and the circumference is 12 pi

9514 1404 393

Answer:

  Tim is correct. 5/8 > 1/2

Step-by-step explanation:

By taking 5/8 of the lasagna, Tim will be taking more than half (4/8) of it. No remaining share can be larger. Any remaining share will be 3/8 or less, so will be smaller than a 5/8 share.

Tim's 5/8 share is the largest.

Answer:

7 5/8

Step-by-step explanation:

5+2= 7 3/8+2/8=5/8 7+5/8=7 5/8

Answer:

False

Step-by-step explanation:

This is false because A density graph is not used to find the probability of a discrete random variable taking on a range of values. This is because you have to use a calculations instead of a graph. The correct how to calculate is: Determine a single event with a single outcome. Identify the total number of outcomes that can occur. Divide the number of events by the number of possible outcomes.

Therefore, it's B ( false).

Answer:

The Capital letter of English alphabet that are symmetric are B,C,D,E,H,I,K,OX

Step-by-step explanation:

hope it helps