Angle 1 and 2 are linear pair. If m<1=x-9 and m<2=x+47 find the measure of each angle

Answer:

9

Step-by-step explanation:

range is the range from the lowest # through the biggest # in other words subtract the smaller number from the bigger number

Answer:

The probability that a randomly selected score on the  verbal section is higher than 165 is 0.0392

Step-by-step explanation:

We are given that The scores on the verbal section of the Graduate Records Examination (GRE)  are approximately normally distributed with a mean of 150 and a standard  deviation of 8.5.

Mean = [tex]\mu = 150[/tex]

Standard deviation =[tex]\sigma = 8.5[/tex]

We are supposed to find the probability that a randomly selected score on the  verbal section is higher than 165 i.e.P(x>165)

Formula :[tex]Z=\frac{x-\mu}{\sigma}[/tex]

[tex]Z=\frac{165-150}{8.5}[/tex]

Z=1.76

Refer the z table for p value

P(x<165)=0.9608

P(x>165)=1-P(x<165)=1-0.9608=0.0392

Hence the probability that a randomly selected score on the  verbal section is higher than 165 is 0.0392

Answer:

Miranda may have made the mistake of mismatching

Step-by-step explanation:

See attached a rough sketch of Cross sections of rectangular and triangular pyramids

Miranda made the mistake of not properly identifying the cross section of a rectangular pyramid which has a cross section of a rectangle.

A triangular pyramid has a triangular cross section

Answer:

12

Step-by-step explanation:

x^2 -bx +36

A perfect square trinomial is of the form

a^2 -2abx +b^2

x^2 -bx +6^2

a =1 and b = 6

2ab = 2*1*6 = 12

Answer:

A (52,2%, 55,8%)

Step-by-step explanation:

To get the confidence interval, we have to add the margin of error to the point estimator.

The middle of the interval is 54%, and the ME is 1.8%. Don't forget that this means ±1.8%!

54 - 1.8 = 52.2%

54 + 1.8 = 55.8%

So our confidence interval is (52,2%, 55,8%) and the answer is A.

The margin of error of 1.8% in the study indicates that the true percentage of patients with flu-like symptoms is likely between 52.2% and 55.8%.

The margin of error in the study from Florida is 1.8%.

This means that we can be confident that the true percentage of patients experiencing flu-like symptoms is within 1.8% of the observed 54%, above and below this value.

To calculate the confidence interval, we add and subtract the margin of error from the observed percentage. Therefore, the confidence interval would be from 54% - 1.8% to 54% + 1.8%, which is between 52.2% and 55.8%.

Answer:

The area of the rectangular prism is 40cm²

Step-by-step explanation:

To calculate the volume of a rectangular prism we have to use the following formula:

a = area

v = volume  = 800 cm³

h = height  = 20 cm

v = a * h

we replace the values that ​​we know        

800cm³  = a * 20cm

800cm³  / 20cm = a

40cm² = a

v = 70ft³

The area of the rectangular prism is 40cm²

Find the given attachment for the solution

A model relating a CEO's annual salary to firm's sales, market value, and profits is proposed. The equation takes a logarithmic form of sales and market value for the elasticity. Profits cannot take a logarithmic form due to the possibility of negative values.

The objective of this question is to build a model relating CEO's annual salary to firm sales, market value, and profits, using the data from CEOSAL2.RAW. The model would be a constant elasticity variety for the sales and market variables. The standard form of a constant elasticity model is ln(Y) = a + b1*ln(X1) + b2*ln(X2) + u, where Y represents the dependent variable (CEO's annual salary), X1 and X2 represent independent variables (firm sales and market value).

Now adding profits to the model, your equation would be: ln(Y) = a + b1*ln(X1) + b2*ln(X2) + b3*X3 + u, where X3 denotes the firm's profits. It is not in logarithmic form because profits can be negative, and the natural log of a negative number is undefined in real numbers.

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Answer:

p value = 0.0000 < 0.05

We reject H0

Hence the claim is significant

Step-by-step explanation:

See attached image

Answer:

i thinl it would be 200 or 1000

Answer:15

Step-by-step explanation:

%change=(201.59-171.33)/201.59 x 100

%change=30.26/201.59 x 100

%change=0.15 x 100

%change=15

Answer:

(a)

Reflexivity

Is not reflexive

Symmetry

Is symmetric

Anti-Symmetry  

is not antisymmetric.

Transitivity

It is transitive

[tex]R = \begin{pmatrix} 1 & 0 & 0 & 0 & 1 \\0 & 1 & 0 & 0 & 0 \\0 & 0& 1 & 0 & 0 \\0 & 0& 0 & 1 & 0 \\0 & 0& 0& 0 & 1 \end{pmatrix}[/tex]

(b)

Reflexivity

Is not reflexive  

Symmetry

Is not symmetric

Anti-Symmetry  

It is antisymmetric

Transitivity

So is NOT transitive.

[tex]R = \begin{pmatrix} 0 & 1 & 1 & 1 & 1 \\0 & 0 & 1 & 0 & 0 \\0 & 0& 0 & 1 & 0 \\0 & 1& 0 & 0& 0 \\0 & 1& 0& 0 & 0 \end{pmatrix}[/tex]

Step-by-step explanation:

(a)  

Reflexivity

Is not reflexive because 5 is not related to 5.

Symmetry

Is symmetric because 1R5 .and 5R1

Anti-Symmetry  

If it is symmetric then it is not antisymmetric.

Transitivity

It is transitive because  1R5 5R1 and 1R1.

[tex]R = \begin{pmatrix} 1 & 0 & 0 & 0 & 1 \\0 & 1 & 0 & 0 & 0 \\0 & 0& 1 & 0 & 0 \\0 & 0& 0 & 1 & 0 \\0 & 0& 0& 0 & 1 \end{pmatrix}[/tex]

(b)

Reflexivity

Is not reflexive no element of the set is related to itself.

Symmetry

Is not symmetric because (1,4) belongs to the relation but (4,1) does not belong to the relation . And similarly you can do the same with all pairs and none of them will satisfy the condition.

Anti-Symmetry  

It is symmetric because for every element if aRb then "b" is NOT related to "a"

Transitivity

A relation can't be antisymmetric and transitive. So is NOT transitive.

[tex]R = \begin{pmatrix} 0 & 1 & 1 & 1 & 1 \\0 & 0 & 1 & 0 & 0 \\0 & 0& 0 & 1 & 0 \\0 & 1& 0 & 0& 0 \\0 & 1& 0& 0 & 0 \end{pmatrix}[/tex]

Answer:

The equation of the circle is

(x + 2)² + (y + 2)² = 9

Centered at (-2, -2), with radius of 3 units.

Step-by-step explanation:

The general equation of a circle is given as

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle, and r is the radius.

Looking at the graph, the center is the red dot. It corresponds to -2 on the y-axis, and -2 on the x-axis. So, the center (h, k) is (-2, -2).

The radius is the distance from the center of the circle to the edge of the circle. The red dot is the edge of the circle, there are 3 lines that represent 3 units, so we have a radius of 3 units.

Using these in the general equation, we have

[x - (-2)]² + [y - (-2)]² = 3²

(x + 2)² + (y + 2)² = 9

And this is the equation.

Answer:

(x+2)^2 + (y+2)^2= 0.5625

Step-by-step explanation:

Answer:

largest= 23,049

smallest= 22,950

Answer:

Step-by-step explanation:

V=WHL

Answer:

I think V= 256

Step-by-step explanation:

To estimate the true mean weight of the cream filling within 0.25 grams with 99% confidence, the quality control inspectors should sample approximately 384 donuts. This is calculated using statistical techniques for sample size determination.

In order to find out how many donuts the quality control inspectors should sample, we need to utilize the formula for sample size in statistics, which is n = (Z^2 * σ^2 * N) / E^2 . In this case, 'Z' is the Z-score which corresponds to the desired confidence level, σ is the standard deviation of the sample data, E is the desired margin of error, and N is the population size.

For a 99% confidence level, the Z-score is 2.58. Given the standard deviation(σ) is 1.5 grams, and the desired margin of error(E) is 0.25 grams, we can substitute these values into the equation to calculate the sample size(n).

Substituting these values: n = (2.58^2 * 1.5^2) / 0.25^2. n becomes approximately 384.

Therefore, the quality control inspectors should sample approximately 384 donuts to be 99% confident that their estimate of the true mean weight of cream filling is within 0.25 grams of the true mean.

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Answer:

c).b

Step-by-step explanation:

e2020

The result of the product [tex]\sqrt b \times \sqrt b =b[/tex] is b

The product is represented as:-

[tex]\sqrt b \times \sqrt b[/tex]

Multiply the roots

[tex]\sqrt b \times \sqrt b =\sqrt{b^2}[/tex]

Rewrite the above expression as:

[tex]\sqrt b \times \sqrt b =b^{\frac 12 \times 2}[/tex]

Multiply 1/2 and 2

[tex]\sqrt b \times \sqrt b =b^{ 1}[/tex]

Express b^1 as b

[tex]\sqrt b \times \sqrt b =b[/tex]

Hence, the result of product [tex]\sqrt b \times \sqrt b =b[/tex] is b

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Answer:

[tex]z=\frac{28.5-35.2}{\sqrt{\frac{7.2^2}{40}+\frac{9.1^2}{40}}}}=-3.652[/tex]  

Now we can calculate the p value since we are conducting a bilateral test the p value would be:

[tex]p_v =2*P(z<-3.652)=0.00026[/tex]

Since the p value is very low we have enough evidence to reject the null hypothesis that the true means are equal at 5% of significance.

Step-by-step explanation:

Information provided

[tex]\bar X_{1}=28.5[/tex] represent the mean for Miami

[tex]\bar X_{2}=35.2[/tex] represent the mean for Baltimore

[tex]\sigma_{1}=7.2[/tex] represent the population standard deviation for Miami

[tex]\sigma_{2}=9.1[/tex] represent the population standard deviation for Baltimore

[tex]n_{1}=40[/tex] sample size selected for Miami

[tex]n_{2}=10[/tex] sample size selected for Baltimore

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic (variable of interest)

[tex]p_v[/tex] represent the p value for the test

Hypothesis to analyze

We want to check if the commiting times are different in the winter for the two cities, so then the system of hypothesis are:

Null hypothesis:[tex]\mu_{1} = \mu_{2}[/tex]

Alternative hypothesis:[tex]\mu_{1} \neq \mu_{2}[/tex]

Since we know the population deviations the statistic for this case is given by:

[tex]z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}[/tex] (1)

Replacing the info provided we got:

[tex]z=\frac{28.5-35.2}{\sqrt{\frac{7.2^2}{40}+\frac{9.1^2}{40}}}}=-3.652[/tex]  

Now we can calculate the p value since we are conducting a bilateral test the p value would be:

[tex]p_v =2*P(z<-3.652)=0.00026[/tex]

Since the p value is very low we have enough evidence to reject the null hypothesis that the true means are equal at 5% of significance.

Answer:

X=4

for the graph, the point would be (4,0)

Answer:

9 bottles

Step-by-step explanation:

If Luther drinks 80% of the water bottles, then he has 100% - 80% = 20% of his bottles left. Therefore, we find that he has 45 * 0.20 = 9 bottles left.

Answer:

9

Step-by-step explanation:

45-(45x0.80)=9

Answer:

The probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg is 0.9970.

Step-by-step explanation:

The random variable X can be defined as the amount of oxygen an athlete takes in.

The mean maximum oxygen uptake for elite athletes is, μ = 65 ml/kg.

The standard deviation is, σ = 5.3 ml/kg.

The random variable X is approximately normally distributed.

Now to compute probabilities of a normally distributed random variable, we first need to convert the value of X to a z-score.

[tex]z=\frac{x-\mu}{\sigma}[/tex]

The distribution of these z-scores is known as a Standard normal distribution, i.e. [tex]Z\sim N(0, 1)[/tex].

A normal distribution is a continuous distribution. So, the probability at a point on a normal curve is 0. To compute the exact probabilities we need to apply continuity correction.

Compute the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg as follows:

P (X ≥ 50) = P (X > 50 + 0.50)

                = P (X > 50.50)

                [tex]=P(\frac{x-\mu}{\sigma}>\frac{50.50-65}{5.3})[/tex]

                [tex]=P(Z>-2.74)\\=P(Z<2.74)\\=0.99693\\\approx 0.9970[/tex]

Thus, the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg is 0.9970.

Answer:

None of the above. The correct answer is 1.47%, 1.10%.

Step-by-step explanation:

The first thing to do is to calculate the Expected return of Stock A and Stock B.

For A;

Probability. Return.

0.1.= 0.1 × 10% = 1.00%

0.2= 0.2 × 13% = 2.60%

0.2= 0.2× 12% = 2.40%.

0.3= 0.3 × 14% = 4.20%

0.2= 0.2 × 15% = 3.00%

Total = 13.20%.

For B;

Probability. Return.

0.1= 0.1 × 8% = 0.80%

0.2= 0.2 × 7% = 1.40%

0.2.= 0.2 × 6% = 1.20%

0.3.= 0.3 × 9% =2.70%

0.2.= 0.2 × 8%= 1.60%

Total = 7.70%.

Hence, the Expected return of Stock A and B = 13.20% and 7.70%. respectively.

Now, let us find the Standard deviation of Stock A and the Standard deviation of Stock B.

For A

For individual value of A, we use the following formula;

(A - Expected return of Stock A)^2 × probability.

For instance,

(10% - 13.20%)^2 × 0.1 =0.000102.

(13% - 13.20%)^2 × 0.2= 0.000001.

(12% - 13.20%)^2 × 0.2 = 0.000029.

(14% - 13.20%)^2 × 0.3 =0.000019.

(15% - 13.20%)^2 × 0.2 = 0.000065.

Which gives us the following values;

0.000102, 0.000001, 0.000029, 0.000019, 0.000065.

The next thing to do is to find the variance (that is the addition of all the values above) and the value for the square root of variance which is the standard deviation.

√( 0.000102 + 0.000001 + 0.000029 + 0.000019 + 0.000065) = 0.000216.

Thus, variance = 0.000216, square root of variance= 0.014697(1.47%).

For B;

We follow as the one above.

(B - Expected return of Stock A)^2 × probability.

We have values as;

0.000001, 0.000010, 0.000058, 0.000051, 0.000002.

√ ( 0.000001 + 0.000010 + 0.000058 +0.000051 + 0.000002).

= 0.011( 1.10%).

To find the standard deviations of stocks A and B, calculate the expected returns and then use the variance formula to determine the standard deviations by taking the square root of the variance for each stock.

The standard deviations of stocks A and B can be calculated using the probabilities and the returns given in the probability distribution. First, we calculate the expected return for each stock by multiplying the return by the probability of each state and summing it up. Then we use the formula for standard deviation, which is the square root of the expected value of the squared deviations from the mean.

For Stock A, we calculate the expected return (μA) and the variance (σA2) before finding the standard deviation (σA). The same steps are taken for Stock B to find its expected return (μB) and standard deviation (σB). Without the detailed calculations, we are unable to provide the exact values for the standard deviations, but by following these methods, you can determine which of the given options is correct for both stocks.

9514 1404 393

Answer:

  (a)  k = –2.5

Step-by-step explanation:

When the function f(x) is transformed to f(x -h) +k, the graph is translated h units right and k units up.

If the absolute value function has its original vertex of (0, 0) moved to (1, -2.5), then (h, k) = (1, -2.5).

The value of k is -2.5.

_____

Additional comment

The above answer applies to the given problem statement. The question asked in the comment has a vertex of (0, 2.5), so (h, k) = (0, 2.5) for that question.

If you're going to copy the answer, make sure it is the answer to the question you're looking at.

In an absolute value function expressed as f(x) = |x – h| + k, the value of k corresponds to the y-coordinate of the function's vertex. In this case, as the vertex is at the point (1, -2.5), the value of k is -2.5.

The student's question relates to the concepts of Two-Dimensional (x-y). Graphing and the graphing of the absolute value function. It is vital to remember that the vertex of an absolute value graph in the form f(x) = |x – h| + k corresponds to the point (h, k) on the Cartesian coordinate plane. The student states that the vertex is at the point (1, -2.5), so based on our function analysis, the value of k, which represents the y-coordinate of the vertex, is -2.5. Therefore, the correct answer is k = -2.5.

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Answer:

95​% confidence interval for the mean length of sentencing for this crime is [47.53 months , 54.47 months].

Step-by-step explanation:

We are given that in a random sample of 41 criminals convicted of a certain​ crime, it was determined that the mean length of sentencing was 51 ​months, with a standard deviation of 11 months.

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 length of sentencing = 51 months

             [tex]s[/tex] = sample standard deviation = 11 months

             n = sample of criminals = 41

             [tex]\mu[/tex] = population mean length of sentencing

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(-2.021 < [tex]t_4_0[/tex] < 2.021) = 0.95  {As the critical value of t at 40 degree of

                                               freedom are -2.021 & 2.021 with P = 2.5%}  

P(-2.021 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.021) = 0.95

P( [tex]-2.021 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]-2.021 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

P( [tex]\bar X-2.021 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.021 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.021 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.021 \times {\frac{s}{\sqrt{n} } }[/tex] ]

                                               = [ [tex]51-2.021 \times {\frac{11}{\sqrt{41} } }[/tex] , [tex]51+2.021 \times {\frac{11}{\sqrt{41} } }[/tex] ]

                                              = [47.53 , 54.47]

Therefore, 95​% confidence interval for the mean length of sentencing for this crime is [47.53 months , 54.47 months].

Answer:

cos (A)  =5/13

tan (C) =5/12

Step-by-step explanation:

The triangle for the problem is produced and attached.

cos (A)=Adjacent/Hypotenuse

cos (A) = 10/26 =5/13

Similarly,

tan (C)=Opposite/Adjacent

tan (C)=10/24 =5/12

Answer:

Cos(A) = 5/13 or 10/26

Tan(C) = 5/12 or 10/24

Step-by-step explanation:

I did it on edge :)

Answer:

Step-by-step explanation:

[tex]12(3g - 9) = 99 \\ 36g - 108 = 99 \\ 36g = 99 + 108 \\ 36g = 207 \\ \frac{36g}{36} = \frac{207}{36} \\ g = 5.75[/tex]

Answer:

The car can go 25 miles on 1 gallon.

Step-by-step explanation:

300 divided by 12 equals 25. Therefore, the car can go 25 miles on 1 gallon.

Answer:

25 miles

Step-by-step explanation:

Let distance = x

Gallons Miles

12. 300

1. x

12x = 300

x = 300/12

x = 25 miles

A car can go 25 miles on 1 gallon.

Answer:

d

Step-by-step explanation:

i did that already and got it right so i hope its not wrong for you