In circle G with m angle of FGH = 90 and FG = 9 units find area of sector FGH. Round

to the nearest hundredth.

Answer:

Step-by-step explanation:

6 /2

=3

Good luck honey!

Answer:

95% confidence interval for the mean breaking strength of the new steel cable is [763.65 lb , 772.75 lb].

Step-by-step explanation:

We are given that the engineers take a random sample of 45 cables and apply weights to each of them until they break. The mean breaking weight for the 45 cables is 768.2 lb. The standard deviation of the breaking weight for the sample is 15.1 lb.

Since, in the question it is not specified that how much confidence interval has be constructed; so we assume to be constructing of 95% confidence interval.

Firstly, the Pivotal quantity for 95% confidence interval for the population mean is given by;

                            P.Q. =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean breaking weight = 768.2 lb

            s = sample standard deviation = 15.1 lb

            n = sample of cables = 45

            [tex]\mu[/tex] = population mean breaking strength

Here for constructing 95% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-2.02 < [tex]t_4_4[/tex] < 2.02) = 0.95  {As the critical value of t at 44 degree

                                           of freedom are -2.02 & 2.02 with P = 2.5%}  

P(-2.02 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.02) = 0.95

P( [tex]-2.02 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.02 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

P( [tex]\bar X-2.02 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.02 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.02 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.02 \times {\frac{s}{\sqrt{n} } }[/tex] ]

                                     = [ [tex]768.2-2.02 \times {\frac{15.1}{\sqrt{45} } }[/tex] , [tex]768.2+2.02 \times {\frac{15.1}{\sqrt{45} } }[/tex] ]

                                     = [763.65 lb , 772.75 lb]

Therefore, 95% confidence interval for the mean breaking strength of the new steel cable is [763.65 lb , 772.75 lb].

The t-statistic is calculated as: -6.70

What is the test statistic?

The appropriate test to conduct at the alpha equals 0.01 level of significance is a one-tailed t-test.

The null hypothesis is that the mean hippocampal volume of adolescents with alcohol use disorders is equal to 9.02 cm cubed, while the alternative hypothesis is that the mean hippocampal volume is less than 9.02 cm cubed.

Thus:

H₀: μ = 9.02 cm³

Hₐ: μ < 9.02 cm³

The t-statistic is calculated from the formula:

t = (x - μ)/(σ/√n)

t =  (8.02 - 9.02) / (0.7/√(22))

= -6.70.

Therefore, the t-statistic is -6.70

Answer:

The standard deviation of the sampling distribution of x overbarx​, denoted sigma Subscript x overbarσx​, is called the​ standard error of the mean . The standard deviation of the sampling distribution of x overbarx​, denoted sigma Subscript x overbarσx​, is called the standard distribution of the sample.

Step-by-step explanation:

The standard error (SE) of a statistic is the standard deviation of its sampling distribution or an estimate of that standard deviation. It is called the standard error of the mean (SEM) if the parameter or the statistic is the mean.

Step-by-step explanation:

Let me know if it's all right! Good luck

Answer:

The value of w is 11 when c = 2

Step-by-step explanation:

Since c = 2, then we can just plug it into the given equation to find w.

[tex]w=(2)+9[/tex]

[tex]w=11[/tex]

Answer:

18x+24

Step-by-step explanation:

For this, you have to multiply 6 to the numbers inside the parenthesis.

SO, 6 x 3x and 6 x 4

6 x 3x=18x

6 x 4=24

The answer will be 18x+24

Answer:

5,040

Step-by-step explanation:

Fundamental Counting Principle states that if there are m ways of doing a thing and there are n ways of doing other thing  then there are total m*n ways of doing both things.

Example : If there are 5 path to reach a destination and 3 mode of transport ( bike, car, bicycle) . Then are 5 * 3 ways to reach the destination using the different mode of transport available.

______________________________________

Given no of clarinet players = 7

no of chairs = 7

First player can be seated on seven chairs in seven ways

( for illustration let the seat be a , b, c , d , e , f , g. he can sit on any of the chairs)

since one chair is occupied and 6 chair is available

second player can be seated on 6 chairs in 6 ways

for illustration let the seat be a be occupied then b, c , d , e , f , g are  the chairs on which second player can sit.

\

Similarly 3rd, 4th, 5th, 6th and 7th player can be seat on chairs in

5, 4 , 3, 2, and 1 way respectively.

___________________________________________

now using  fundamental Counting Principle

since 7 players can sit on chair in

7 , 6, 5 , 4, 3 , 2, 1 ways then together they can be seated in

7 *  6 * 5 *  4 * 3 * 2 * 1 ways = 5, 040 ways

Answer:

1.22 km/min

Step-by-step explanation:

Let Q be baloon height at a time t. Our goal is to determine the speed of the baloon at the moment.

The dy / dt velocity of the baloon when = π/5?  

So we can restate the question as follows:

Owing to the fact d / dt = 0.2 rad / min at some stage = π/5

from fig:

tanθ = y/4

Differentiating w.r.t "t"

sec2 θ * dθ/dt = 1/4(dy/dt)

=> dy/dt = (4/cos2 θ)dθ/dt

At the given moment θ =  and dθ/dt = 0.2 rad/min.

dy/dt = (4/cos2)* (0.2)

= 1.22 km/min

And the velocity of the baloon currently is 1.22 km / min.

Answer: -2x+1

Step-by-step explanation:

Slope formula. -3-3/2- -1 = -6/3=-2=m

Y=mx+b use(-1,3) -1=x 3=y

3=-2(-1)+b

3=2+b

Subtract 2

1=b

Answer:

51.02 metres

Step-by-step explanation:

The pictorial representation of the problem is attached.

We are required to find the distance from the worker to the top of the pole, |DA| in the diagram.

In Triangle ABC

[tex]Tan 68^\circ =\frac{|AB|}{|BC|}\\Tan 68^\circ =\frac{|AB|}{31}\\|AB|=31 X Tan 68^\circ=72.73m[/tex]

In Triangle BCD

[tex]Tan 35^\circ =\frac{|BD|}{|BC|}\\Tan 35^\circ =\frac{|BD|}{31}\\|BD|=31 X Tan 35^\circ=21.71m[/tex]

The distance, |DA| =|AB|-|BD|

=72.73-21.71

=51.02 metres

The distance from the worker to the top of the pole is 51.02 metres.

Answer:False

Step-by-step explanation:

False

Whenever a stock is sold more money than what is paid for it is termed as Gain or profit

For example if an item is bought for [tex]\$100[/tex] and it is sell for [tex]\$120[/tex]

then there is a profit of

[tex]\Rightarrow \frac{120-100}{100}\times 100[/tex]

[tex]\Rightarrow 20\%[/tex]

or a gain of [tex]\$20[/tex]

Answer: The answer is False, i know this because i took this quiz on edge and it was correct as false <3 hope this helps

Step-by-step explanation: brainliest please :3

Answer:

  70 minutes

Step-by-step explanation:

We assume that the time is proportional to the area and inversely proportional to the number of members.

Then the time for the second job will be the first job's time multiplied by ...

  20/9 . . . the inverse of the ratio of members painting

  4200/4800 = 7/8 . . . the ratio of area being painted

The time it would take is ...

  (36 min)(20/9)(7/8) = 70 min

It will take the smaller team 70 minutes to paint a 4200 ft² wall.

Answer:

  4 cm

Step-by-step explanation:

The area of the net is 6 times the area of one square, so one square has an area of ...

  (96 cm^2)/6 = 16 cm^2

The side length (s) is the square root of this value:

  s = √(16 cm^2)

 s = 4 cm

Answer:

153.9 cm

Step-by-step explanation:

A = pi(r²)

= 3.14(7²)

= 3.14(49)

= 153.86

= 153.9 cm

Answer:

1) b. an experimental study

2) a. μ1=μ2=μ3

3) a. MSE

4) MSTR =85.735

5) value of the F-statistics =7.472

6) b. 0.004

7) a. We reject the null hypothesis

8) b. Yes

Step-by-step explanation:

See the attached image

Answer:

A. 5

Step-by-step explanation:

5 ÷ 1 = 5

10 ÷ 2 = 5

15 ÷ 3 = 5

Answer:

the slope should be 1/5.

Step-by-step explanation:

slope = change in y / change in x

2-1 = 1 = change in Y

10-5 = 5 = change in X

the slope should be 1/5.

apologies in advance if my answer is wrong or I explain badly.

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

hope this helps! <3

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Edit! someone else answered the question. their answer is probably correct, so please ignore my incorrect answer :'D

Answer:

b. sqrt(a+2)^2+(b-5)^2+(c-6)^2

Step-by-step explanation:

Use distance formula

sqrt (a-(-2)^2 + (b-5)^2 + (c-6) ^2

sqrt (a+2)^2 +(b+5)^2 + (c-6)^2

Answer:

B

Step-by-step explanation:

took it on edge, it's the right answer :)

Answer:

Hello dear, your question might not be complete, but if you want to know the expanded notation form for the numbers given, here they are;

(1). 20 + 3.

(2). 10 + 9.

(3). 100 + 0 + 0

Step-by-step explanation:

Expanded notation can simply be defined as the depiction of numbers or digits for what they are really are that is to say the representation of the values of numbers or digits. The numbers can be shown or represented from ones, through to hundreds and many more.

For the numbers given in this question, below are the expanded notation form;

(1). 20 × 1 + 3 × 1 = Expanded Factors Form.

20 + 3 = Expanded Notation Form.

(2). 10 ×1 + 9 × 1 = Expanded Factors Form.

10 + 9 = Expanded Notation Form.

(3). 100 × 1 + 0 × 10 + 0 × 1 = Expanded Factors Form.

100 + 0 + 0 = Expanded Notation Form.

To determine whether there is enough evidence to reject the claim of the state Department of Transportation, a hypothesis test needs to be performed. The null hypothesis (H0) is that the mean wait time is 6 minutes or less, while the alternative hypothesis (H1) is that the mean wait time is greater than 6 minutes. Using a one-sample t-test, the test statistic is calculated and compared to the critical value obtained from the t-distribution table or calculator. In this case, the test statistic is greater than the critical value, indicating that there is enough evidence to reject the null hypothesis.

To determine whether there is enough evidence to reject the claim of the state Department of Transportation, we need to perform a hypothesis test.

Hypotheses:

Let:

μ be the mean wait time for various services at different locations.

The null hypothesis (H0) is that the mean wait time (μ) is 6 minutes or less:

H0: μ ≤ 6
The alternative hypothesis (H1) is that the mean wait time (μ) is greater than 6 minutes:

H1: μ > 6

Test statistic:

We will use a one-sample t-test since the population standard deviation is unknown.

The test statistic (t) is calculated using the formula:

t = (Xbar - μ)/(s/√(n))

Where:

Xbar is the sample mean - 10.3 minutes,

μ is the claimed mean - 6 minutes,

s is the sample standard deviation - 8.0 minutes, and

n is the sample size - 34.

Critical value:

To find the critical value, we need to determine the rejection region using the significance level (alpha) of 0.01 and the degrees of freedom (df) which is n - 1 = 33.

From the t-distribution table or calculator, the critical value for a one-tailed test at alpha = 0.01 and df = 33 is approximately 2.449.

Conclusion:

The test statistic (t) = (10.3 - 6)/(8.0/√(34)) = 3.720.

Since the test statistic (t) = 3.720 > 2.449 (the critical value), we have enough evidence to reject the null hypothesis.

Therefore, we can conclude that there is sufficient evidence to reject the claim of the state Department of Transportation at alpha = 0.01.

Answer:

We conclude that the mean number of thunder days is less than 92.

Step-by-step explanation:

We are given that Historically, a certain region has experienced 92 thunder days annually.

Over the past fifteen years, the mean number of thunder days is 72 with a standard deviation of 38.

Let [tex]\mu[/tex] = mean number of thunder days.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 92 days     {means that the mean number of thunder days is more than or equal to 92}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 92 days     {means that the mean number of thunder days is less than 92}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

                       T.S. =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean number of thunder days = 72

             s = sample standard deviation = 38

            n = sample of years = 15

So, test statistics  =  [tex]\frac{72-92}{\frac{38}{\sqrt{15} } }[/tex]  ~ [tex]t_1_4[/tex]

                               =  -2.038

The value of z test statistics is -2.038.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical value of -1.761 at 14 degree of freedom for left-tailed test.

Since our test statistics is less than the critical value of t as -2.038 < -1.761, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean number of thunder days is less than 92.

There is 18.75% probability that it takes 9 or more boxes to get all 3 prizes.

No. of Boxes  |  frequency

        3           |         12

        4           |         4

        5           |         5

        6           |         5

        7           |         0

        8           |         0

        9           |         2

        10          |        2

        11           |        0

        12           |       2

Here 9 or more boxes represent that it is equal to 9 boxes or more than 9 boxes.

P(x ≥ 9) = No. of boxes equal or more than 9 / total no. of boxes

And, The total no. of boxes is 32

From the above data, we have to count the number of boxes equal to or more than 9. (6 times) i.e.

[tex]P(x $\geq$ 9) = 6\div 32\\\\P(x $\leq$ 9) = 3\div 16[/tex]

P(x ≥ 9) = 0.1875

P(x ≥ 9) = 18.75%

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Answer:

c= -10

Step-by-step explanation:

-3(c-1)= 33

-3(c) -3(-1)= 33 (expand)

-3c +3= 33

-3c= 33-3 (-3 on both sides)

-3c= 30 (simplify)

3c= -30 (divide by -1 throughout)

c= -30 ÷3

c= -10

Answer:

95

Step-by-step explanation:

yeah

Answer:

x=3, y=5

Step-by-step explanation:

To find x:

Because opposite sides of a parallelogram are congruent, we can set up the equation 2x+5=12x-25. Solving the equation will show that x=3.

To find y:

Using the same method as x, we can find that y=5.

Hope this helped!

Answer:

B. 3 by 12

Step-by-step explanation:

The rectangle is four times as long as it is wide,

(3 times 4=12)

and has an area of 36

(3 times 12=36)

so this is the correct answer.

If the area of the given rectangle is 36 square inches, then the length of rectangle is 12 inches and the breadth of rectangle is 3 inches.

"Area is the quantity that expresses the extent of a region on the plane or on a curved surface."

"A rectangle is a shape with four straight sides and four angles of 90 degrees (right angles)."

Area of rectangle = 36 square inches

Let the width of rectangle be y

Length of rectangle be 4y

Area of rectangle = length × breadth

y×4y = 36

[tex]4y^{2} = 36[/tex]

[tex]y^{2}=9\\y=\sqrt{9}[/tex]

[tex]y=3[/tex]

Hence, the width of the rectangle is 3 inches and the length of the rectangle is 12 inches.

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Answer:37.5 %

Step-by-step explanation:

Given

School attendance varies between 200 and 275

Most percentage error arises when attendance of 275 students is expected but only 200 students are present

Percentage error[tex]=\frac{275-200}{200}\times 100=37.5\ \%[/tex]

Answer:

A quadratic function can have up to two x-intercepts.

An x-intercept of a quadratic function is also called a zero of the function.

Step-by-step explanation:

None needed.

The true statement is

An x-intercept of a quadratic function is also called a zero of the function.

A quadratic function can have up to two x-intercepts.

A quadratic polynomial function has one or more variables and a variable with a maximum exponent of two. It is also known as the polynomial of degree 2 because the second-degree component in a quadratic function is the biggest degree term. A quadratic function must contain at least one term of the second degree. It possesses algebraic qualities.

we have,

The x-intercepts of quadratic functions,

The standard form of quadratic equation is

ax² + bx + c = 0

The zeroes of the quadratic functions are the values of x, which is also known as the x-intercept.

Because the degree of the polynomial is 2, there will be at least two x-intercept values.

The x-intercept is the x position at which the value of y is zero.

Let x = a be an x-intercept, and the function factor is (x - a).

Learn more about Quadratic Equation here:

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Answer:

D. reproduction

Step-by-step explanation:

If there is no reproduction involved, then the species will go extinct

Answer:

D. reproduction

Step-by-step explanation: