Assume the weights of adult males are normally distributed 150 pounds and 8=20 pounds. a) Find the prodailing that a man pleked at random will weigh less than 163 yound, (b) suppose Pl<

Answer:

2nd Column: [tex]\frac{39-78}{25-59}[/tex]

3rd Column:[tex]1.56[/tex]

Step-by-step explanation:

2) For this, just follow the formula given underneath the chart.

3) Here, simplify the equation used in the 2nd Column.  [tex]\frac{39-78}{25-50} = \frac{-39}{-25} = -1.56[/tex]

Answer:

Fraction = [tex]\frac{1}{20}[/tex] and Decimal = 0.05

Step-by-step explanation:

Percent means, some number over a hundred.

in this case we have 5%

[tex]\frac{5}{100} = \frac{1}{20}[/tex]

and for decimal form we just move the decimal 2 places to the left because our denominator is a 100 and we get 0.05.

Answer:

4x+50=90 being complementary

4x=90-50

x=40/4=10

value of x=10°

Answer: 10

Step-by-step explanation:

50-90= 40

40/4 = 10

Answer:

could you add a form?

Step-by-step explanation:

Answer:

Step-by-step explanatio

Answer:

3.666667

Step-by-step explanation:

You can do long division, or you can use a calculator.

Answer:

18

Step-by-step explanation:

formula= length x width x height

3 x 3 x 2 = 18

Answer:

12

Step-by-step explanation:

V = Bh.

Base = b = length x width

length = 3

width = 3

height = 2

6 x 2

Answer: the formula is : β = 180° - α

A = 6 * a² * sin(α)

V = a³ * (1-cos(α)) * √1+2cos(α)

Sorry, i don't know any examples .

Step-by-step explanation:

The 99% confidence interval for how much the drug will lower a typical patient's systolic blood pressure is approximately (40.6, 43.8).

The formula for calculating the confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

we need to find the critical value associated with a 99% confidence level. Since the sample size is large (n = 309), we can use the z-distribution.

The critical value for a 99% confidence level is approximately 2.576.

Next, we need to calculate the standard error using the formula:

Standard Error = Standard Deviation / √(Sample Size)

Standard Error = 10.7 / √309

Now we can calculate the confidence interval:

Confidence Interval = 42.2 ± (2.576 * (10.7 / √309))

Calculating the values:

Confidence Interval = 42.2 ± (2.576 * 0.609)

Confidence Interval ≈ 42.2 ± 1.570

Therefore, the 99% confidence interval for how much the drug will lower a typical patient's systolic blood pressure is approximately (40.6, 43.8).

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Answer:  A

Step-by-step explanation:

The line and dots are closed circle, so B and D would not be the answer.

The line have passed through the point (-6,4) and (0,2); we uses to find the slope.

slope = m = (y2 - y1)/(x2 - x1) = (2 - 4)/(0 - (-6)) = -2 / 6 = -1/3

we plug in slope to the linear equation in form of y = mx + b, where m is the slope, and b is the y- intercept.

y = -1/3x + 2

So the answer is A.

Answer:

an = −1,171,875(1/5)^n-1

Step-by-step explanation:

The given sequence is geometric sequence since they have the same common ratio r. The nth term of a geometric sequence is expressed as;

an = ar^n-1

n is the number of terms

r is the common ratio

a is the first term

From the sequence;

a = −1,171,875

r = −234,375 /−1,171,875 = -46,875/−234,375 = 0.2

r = 1/5

Substitute the values in the formula;

an = −1,171,875(1/5)^n-1

Hence the required explicit formula is an = −1,171,875(1/5)^n-1

The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The sequence is {−1,171,875;−234,375;−46,875;−9375,…}

The given sequence is the geometric sequence since they have the same common ratio r. Then the nth term of the geometric sequence will be

[tex]\rm a_n = a\ r^{n-1}[/tex]

Where

Number of terms (n)

First-term (a) = -1,171,875

Common ratio (r) = 1/5

Then nth term will be

[tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]

The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.

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The composition relation (RS) of R with S is {(a, w), (b, z), (b, z), (c, z)}.

The composition relation (RS) of R with S is obtained by taking the pairs from R and S that have matching elements.

R = {(a, 2), (b, 3), (b, 4), (c, 3)}

S = {(1, y), (1, z), (2, w), (3, z)}

To obtain RS, we need to match the second element of each pair in R with the first element of each pair in S.

For the pair (a, 2) in R, we match the 2 with the second elements of pairs in S: (2, w). So we have (a, w).

For the pair (b, 3) in R, we match the 3 with the second elements of pairs in S: (3, z). So we have (b, z).

For the pair (b, 4) in R, we match the 4 with the second elements of pairs in S: (4, z). So we have (b, z).

For the pair (c, 3) in R, we match the 3 with the second elements of pairs in S: (3, z). So we have (c, z).

Putting it all together, the composition relation RS is:

RS = {(a, w), (b, z), (b, z), (c, z)}

Note that (b, z) appears twice in the composition relation because there are two pairs (b, 3) in R that match with (3, z) in S.

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Answer:$590

Step-by-step explanation:

500*6%=30

30*3=90

500+90=590

The probability of waiting more than 5 minutes at the checkout line of a certain supermarket is 0.35.

This can be calculated by adding the probabilities of waiting 6 minutes (0.10) and 7 minutes (0.25).

The probability distribution table shows that the probability of waiting 0 minutes is 0.50, the probability of waiting 1 minute is 0.20, the probability of waiting 2 minutes is 0.10, and the probability of waiting 3 minutes is 0.05. The probability of waiting more than 5 minutes is the sum of the probabilities of waiting 6 minutes, 7 minutes, and so on. The probability of waiting 6 minutes is 0.10, and the probability of waiting 7 minutes is 0.25. Therefore, the probability of waiting more than 5 minutes is 0.10 + 0.25 = 0.35.

In other words, there is a 35% chance that a customer will wait more than 5 minutes at the checkout line of this supermarket.

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Step-by-step explanation:

Diameter = 2x Radius

Radius = 1/2 Diameter

[tex] = \frac{1}{2} \times 8 \\ = 4km[/tex]

Answer:

Hey mate!

Here's how:-

Diameter is 2 times the radius.

That means, the radius is half of the diameter.

So, radius equals 8 divided by 2.

Radius is 4cm.

Hope it helps!

If you have any more queries or didn't understand my answer, let me know in the comments so I can help you!

Null hypothesis (H0): The mean lead concentration for all traditional medicines is equal to or greater than 13.9.

Alternative hypothesis (Ha): The mean lead concentration for all traditional medicines is less than 13.9.

The null and alternative hypotheses for the given scenario can be stated as follows:

Null hypothesis (H0): The mean lead concentration for all traditional medicines is equal to or greater than 13.9.

Alternative hypothesis (Ha): The mean lead concentration for all traditional medicines is less than 13.9.

In other words, the null hypothesis assumes that the population mean lead concentration is 13.9 or higher, while the alternative hypothesis suggests that the population mean lead concentration is less than 13.9.

To test these hypotheses, a hypothesis test can be conducted using the given sample data and a significance level of 0.01 (or 0.001 as mentioned)

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Answer:

door?

Step-by-step explanation:

Or is it 2 windows?

The follow-ups to the Window Equation don't as a rule utilize the a additionally image and rises to sign, and are drawn by flipping one of the numbers.

1 + 1 = window

2 + 2 = fish

3 + 3 = eight

4 + 4 = arrow

5 + 5 = apple

6 + 6 = cherry

7 + 7 = triangle

8 + 8 = butterfly

Hope this helps!

Picture below: The steps and associated words showing how to complete the window symbol.

x - 4/5 > 1/5

  +4/5   +4/5    add 4/5 on each sides, 4/5s will cancel on the left side.

__________   solve for 1/5 + 4/5, which is 1.

x > 1, is the final answer.

hope this helps :)

Answer:

x>1

Step-by-step explanation:

The system has infinitely many solutions.

The given system of equations can be represented using matrices and solved using row operations. Let's rewrite the system in matrix form:

To solve this system using row operations, we'll perform elementary operations to transform the matrix into row-echelon form or reduced row-echelon form. Let's proceed with the operations:

1. R₂ = R₂ - R1

  [1  -4] [2]  =  [-4]

  [0   7] [y]     [16]

2. R₂ = R2/7

  [1  -4] [2]  =  [-4]

  [0   1] [y]     [16/7]

3. R₁= R₁ + 4R2

  [1  0] [2 + 4(16/7)]  =  [-4 + 4(16/7)]

  [0  1] [y]              =  [16/7]

Simplifying the calculations, we get:

[1  0] [2 + (64/7)]  =  [-4 + (64/7)]

[0  1] [y]              =  [16/7]

This system of equations indicates that x = 2 + (64/7) and y = 16/7. Therefore, there are infinitely many solutions to the system.

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The population parameter of interest is the proportion of all Greeks who would rate their lives poorly enough to be considered "suffering."b) The success-failure condition is met.c) The sampling distribution of p is a normal distribution with a mean equal to the population proportion and a standard deviation given by the formula σp = sqrt[p(1−p)/n]. If we assume that the claim is true, then p = 0.25, and the sample size is 1000, and hence the standard deviation of the sampling distribution of p is: sqrt[p(1−p)/n] = sqrt[(0.25)(0.75)/1000] ≈ 0.0144d) The probability that the sample proportion p is between 24% and 28% if the social science researcher's claim is correct is 0.6615 or 66.15% (approximately).

Population parameter of interest:The population parameter of interest is the proportion of all Greeks who would rate their lives poorly enough to be considered "suffering". The parameter of interest in this case is the percentage of Greeks who would be classified as "suffering."b) Check if the success-failure condition required for the Central Limit Theorem for the sample proportion is met.The success-failure condition is met when the number of successes and failures in the sample is both larger than 10. Let’s assume that the claim is true, thus the proportion p is equal to 0.25.

The sample size is 1,000. Therefore, the expected number of successes and failures arenp = 1,000 × 0.25 = 250n(1−p) = 1,000 × 0.75 = 750Both expected number of successes and failures are greater than 10, therefore, the success-failure condition is met.c) Sampling distribution of p if the social science researcher's claim is correct:The sampling distribution of p is a normal distribution with a mean equal to the population proportion and a standard deviation given by the formula σp = sqrt[p(1−p)/n]. If we assume that the claim is true, then p = 0.25, and the sample size is 1000, and hence the standard deviation of the sampling distribution of p is:sqrt[p(1−p)/n] = sqrt[(0.25)(0.75)/1000] ≈ 0.0144d) Probability that the sample proportion p is between 24% and 28% if the social science researcher's claim is correct:

The sample proportion, p, follows a normal distribution with mean 0.25 and standard deviation 0.0144. Therefore, the standardized value of 0.24 is(0.24−0.25)/0.0144 = -0.6944and the standardized value of 0.28 is(0.28−0.25)/0.0144 = 2.0833From standard normal distribution table, the probability of getting a value between -0.6944 and 2.0833 is approximately 0.6615. Thus, the probability that the sample proportion is between 24% and 28% is 0.6615 or 66.15% (approximately).

Answer: a) The population parameter of interest is the proportion of all Greeks who would rate their lives poorly enough to be considered "suffering."b) The success-failure condition is met.c) The sampling distribution of p is a normal distribution with a mean equal to the population proportion and a standard deviation given by the formula σp = sqrt[p(1−p)/n]. If we assume that the claim is true, then p = 0.25, and the sample size is 1000, and hence the standard deviation of the sampling distribution of p is: sqrt[p(1−p)/n] = sqrt[(0.25)(0.75)/1000] ≈ 0.0144d) The probability that the sample proportion p is between 24% and 28% if the social science researcher's claim is correct is 0.6615 or 66.15% (approximately).

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If the year-end balance sheet of Star Inc. shows total assets of $6,617 million, operating assets of $5,253 million, operating liabilities of $2,822 million, and shareholders' equity of $2,950 million, the company's year-end net operating assets are  $2,431 million. Therefore, the correct answer is option C, $2,431 million.

Net operating assets refer to the difference between operating assets and operating liabilities. In this case, the operating assets of Star Inc. are $5,253 million, and the operating liabilities are $2,822 million. Therefore, the year-end net operating assets are:

Net operating assets = Operating assets - Operating liabilities

Net operating assets = $5,253 million - $2,822 million

Net operating assets = $2,431 million

Therefore, the correct answer is option C, $2,431 million.

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(a) The value of the integral is [tex]\frac{5}{4} (arcsin(4x) + \frac{1}{2} sin(2arcsin(4x))) + C.[/tex]

(b) The coefficient of * in the expansion is -2

(c) The value of the integral after expansion is 1.015.

(d) cannot be estimated

a) Evaluate the integral exactly, using a substitution in the form ax = sin θ and the identity cos²θ = (1 + cos 2θ).

First, let's make the substitution

ax = sin θ.

We have

a = 4,

so we can write

4x = sin θ.

Solving for x,

we get

x = (1/4) sin θ.

Next, we need to express √(1 - 4x²) in terms of θ. Since x = (1/4) sin θ, we can substitute it in the expression to get:

√(1 - 4x²) = √(1 - 4(1/4)² sin² θ)

= √(1 - sin² θ)

= √(cos² θ).

Now, the integral becomes:

∫5√(1 - 4x²) dx

= ∫5√(cos² θ) (1/4) cos θ dθ

= (5/4) ∫cos² θ dθ.

Using the identity :

cos²θ = (1 + cos 2θ),

we have

(5/4) ∫(1 + cos 2θ) dθ = (5/4) (θ + (1/2) sin 2θ) + C.

Substituting back θ = arcsin(4x), we have the exact value of the integral: [tex]\frac{5}{4} (arcsin(4x) + \frac{1}{2} sin(2arcsin(4x))) + C.[/tex]

b) Find the Maclaurin Series expansion of the integrand as far as terms in aº. Give the coefficient of * in your expansion.

To find the Maclaurin series expansion, we need to expand the integrand √(1 - 4x²) in a series. We can use the binomial series expansion for this:

√(1 - 4x²) = 1 - 2x² + (3/2)x⁴ - (5/4)x⁶ + ...

Expanding up to terms in a⁰, we have √(1 - 4x²) = 1 - 2x².

The coefficient of a⁰ is -2.

c) Integrate the terms of your expansion and evaluate to get an approximate value for the integral.

To integrate the terms of the expansion, we integrate each term separately:

∫1 dx = x,

∫(-2x²) dx = -(2/3)x³,

∫(3/2)x⁴ dx = (3/10)x⁵,

∫(-5/4)x⁶ dx = -(5/28)x⁷,

Now, we evaluate each integral at the limits of integration. Since the limits were not provided, we'll assume them to be from -1 to 1:

Using the fundamental theorem of calculus, the definite integral is the difference between the antiderivative values at the upper and lower limits:

∫1 dx = [x] from -1 to 1 = 1 - (-1) = 2,

∫(-2x²) dx = [-2(1/3)x³] from -1 to 1 = (-2/3)(1³ - (-1)³) = (-2/3)(1 - (-1)) = (-2/3)(2) = -4/3,

∫(3/2)x⁴ dx = [(3/10)x⁵]

from -1 to 1 = (3/10)(1⁵ - (-1)⁵) = (3/10)(1 - (-1)) = (3/10)(2) = 3/5,

∫(-5/4)x⁶ dx = [(-5/28)x⁷] from -1 to 1 = (-5/28)(1⁷ - (-1)⁷) = (-5/28)(1 - (-1)) = (-5/28)(2) = -5/14.

Adding up all the integrated terms, we get the approximate value of the integral:

2 + (-4/3) + (3/5) + (-5/14) ≈ 1.015.

Therefore, the approximate value of the integral is 1.015.

(d) There is no value for the error, therefore it cannot be evaluated

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Answer:

487

Step-by-step explanation:

We can use this formula to find the 60th term:

8n+7

Step-by-step explanation:

given,

[tex]2k \div 3 = 6 \\ 2k \div3 \times 3 = 6 \times 3 \\ 2k = 18 \\ k = 18 \div 2 \\ = 9[/tex]

Answer:

the answer is 8

Step-by-step explanation:

8x6=48

Answer:

8

Step-by-step explanation:

its 8 because the multiples of 6 are 6, 12, 18, 24, 30, 36, 48 then the multiples of 8 are 8, 16, 24, 32, 40, 48

Answer:

2(x+y)

Step-by-step explanation:

perimeter=20cm

length=x

Take the radius to be y

area of a rectangle=2(length+width)

therefore area of a rectangle=2(x+y)

Answer:

A right angle is neither Obtuse nor Acute

Step-by-step explanation:

Answer: Which angles are neither obtuse angles nor acute angles?

Answer:

8 inches.

Step-by-step explanation:

Just count how many units there are between the two points :)

Complete question :

Matthew asked 10 students how many pets and how many siblings each has. The line plots below show his data.

Which statement correctly describes Matthew’s data?

A. The median number of pets the students have is less than the median number of siblings the students have.

B. There is less variability in the number of pets the students have than in the number of siblings the students have.

C. The range in the number of siblings the students have is less than the range in the number of pets the students have.

D. The mean absolute deviation of the number of siblings the students have is less than the mean absolute deviation of the number of pets the students have.

Answer:

B. There is less variability in the number of pets the students have than in the number of siblings the students have.

Step-by-step explanation:

From the data:

Pets data:

3,3,4,4,4,4,5,5,5,5

Using calculator:

Median value = 4

Mean absolute deviation = 0.64

Range = 5 - 3 = 2

Siblings data:

Median value = 2

Mean absolute deviation = 1.52

Range = 5 - 0 = 5

Median value of pets > median value of siblings data

Range of siblings data > range of pets data

Mean absolute deviation of siblings data >Ean absolute deviation of pets data

Variability of pets data is lesser than that of siblings data ; as shown by the mean absolute deviation value

Answer:

Least Value: 16

Median: 26

Upper Quartile: 30

Lower Quartile: 20

Greatest Value: 34

Interquartile Range: 10

Range: 18