The shaded region under a Normal distribution with mean 100 and standard deviation 5 is shown. Which of the following is the best choice that corresponds to the shaded region? Select one.
Question 4 options:
Probability of x ≤ 92
Probability of x ≤ 108
Probability of x ≥ 92
Probability of x ≥ 108

Answer:

A is correct.

Step-by-step explanation:

Since the 39 is the initial value and isn't a coefficient. 15 is a coefficient and represents the slope.

A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

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Answer:

Ok the scale factor is the ratio of 1:2, but what are the two lengths? A and B? I need more information, like what numbers are A and B.

Step-by-step explanation:

It conclude the Tyson-brand exceeds proportion of Perdue-brand chickens testing positive.

The test statistic and p-value are 2.33 and 0.0001 respectively.

The p-value < significance level, reject null hypothesis.

To test the hypothesis,

The proportion of Tyson-brand chickens testing positive exceeds the proportion of Perdue-brand chickens testing positive,

Use a two-proportion z-test. Let us state the relevant hypotheses.

Null Hypothesis (H₀),  p₁ ≤ p₂

Alternative Hypothesis (H₁), p₁ > p₂

Where

p₁ = Proportion of Perdue-brand chickens testing positive

p₂ = Proportion of Tyson-brand chickens testing positive

Now, let us calculate the test statistic and p-value,

First, calculate the sample proportions,

p₁ = 35/80

   = 0.4375 (proportion of Perdue-brand chickens testing positive)

p₂= 66/80

   = 0.825 (proportion of Tyson-brand chickens testing positive)

Next, calculate the standard error (SE) of the difference between two proportions,

SE = √[(p₁ × (1 - p₁) / n₁) + (p₂ × (1 - p₂) / n₂)]

= √[(0.4375 × (1 - 0.4375) / 80) + (0.825 × (1 - 0.825) / 80)]

≈ 0.0844

Then, calculate the test statistic (z),

z = (p₁ - p₂) / SE

= (0.4375 - 0.825) / 0.0844

≈ -4.5821

Using a significance level of 0.01, the critical z-value for a one-tailed test is approximately 2.33 using z-calculator.

Finally, calculate the p-value associated with the test statistic.

p-value = P(Z > -4.5821)

Using a z-calculator, find that the p-value is very close to 0 (p-value < 0.0001).

Interpreting the results,

Since the p-value (0.0001) is less than the significance level (0.01), we reject the null hypothesis.

Therefore, sufficient evidence to conclude proportion of Tyson-brand chickens testing positive exceeds proportion of Perdue-brand chickens testing positive.

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The above question is incomplete, the complete question is:

An article in the publication Consumer Reports reported the following data: * 35 of 80 randomly selected Perdue-brand chickens tested positive for campylobacter bacteria, salmonella bacteria, or both. * 66 of 80 randomly selected Tyson-brand chickens tested positive for campylobacter bacteria, salmonella bacteria, or both. From these data, would you conclude that the proportion of Tyson-brand chickens that test positive exceeds the proportion of Perdue-brand chickens that test positive.

Carry out a test of hypotheses using a significance level 0.01. (Use p1 for Brand A and p2 for Brand B.)

State the relevant hypotheses.

Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)

Answer:

S = x+y+9

Step-by-step explanation:

Age of Anna is x years and age of her sister is y years old.

3 years later,

Age of Anna = x+3

Age of her sister = y +3

Sum of their ages in 3 years will be :

S = x+3+y+3

S = x+y+9

Hence, this is the required solution.

Answer:

24

Step-by-step explanation:

2+a

2 + (22)

= 24

The estimated area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints is approximately 0.8916.

To estimate the area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints, we can use the right Riemann sum method.

The width of each rectangle, Δx, is given by the interval width divided by the number of rectangles.

In this case, Δx = (π/2 - 0)/4 = π/8.

To calculate the right endpoint values, we evaluate f(x) at the right endpoint of each rectangle.

For the first rectangle, the right endpoint is x = π/8.

For the second rectangle, the right endpoint is x = π/4.

For the third rectangle, the right endpoint is x = 3π/8.

And for the fourth rectangle, the right endpoint is x = π/2.

Now, let's calculate the area for each rectangle by multiplying the width (Δx) by the corresponding height (f(x)):

Rectangle 1: Area = f(π/8) * Δx = 5cos(π/8) * π/8

Rectangle 2: Area = f(π/4) * Δx = 5cos(π/4) * π/8

Rectangle 3: Area = f(3π/8) * Δx = 5cos(3π/8) * π/8

Rectangle 4: Area = f(π/2) * Δx = 5cos(π/2) * π/8

Now, let's calculate the values:

Rectangle 1: Area = 5cos(π/8) * π/8 ≈ 0.2887

Rectangle 2: Area = 5cos(π/4) * π/8 ≈ 0.3142

Rectangle 3: Area = 5cos(3π/8) * π/8 ≈ 0.2887

Rectangle 4: Area = 5cos(π/2) * π/8 ≈ 0

Finally, to estimate the total area, we sum up the areas of all four rectangles:

Total Area ≈ 0.2887 + 0.3142 + 0.2887 + 0 ≈ 0.8916

Therefore, the estimated area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints is approximately 0.8916.

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Answer:

k = 0 or 8

Step-by-step explanation:

First, get the variables and constants on their side.

-4k^2 + 5k^2 - 8k = -3 + 3     Now simplify

k^2 - 8k = 0            Factor

k(k - 8) = 0          Solve

k = [0, 8]

If you want you can double check your answer by plugging in the values you got. First, 0.

0 - 0 - 3 = -3 - 0

-3 = -3. That works, so we know 0 is correct. Now 8

-4(64) - 8(8) - 3 = -3 - 5(64)

-256 - 64 - 3 = -3 - 320

-320 - 3 = -323

-323 = -323 That also works, so we know 8 is correct.

Answer:

Nets of rectangular prisms are made up of rectangles and squares. Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

Step-by-step explanation:

Answer:

By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.

Step-by-step explanation:

This is edges sample resopnse

Answer:

there are 13 newspapers per pile

Step-by-step explanation:

to find newspapers per pile we divide 39/ 3

39/3= 13

Answer:

0.02

Step-by-step explanation:

hope this is correct!!

The value of the number 11000 milligrams into pounds will be;

⇒ 24.255 × 10⁻³ pounds

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

The number is,

⇒ 11,000 milligrams

Now,

Since, We know that;

1 milligrams = 2.205 × 10⁻⁶ pounds

Hence,

11,000 milligrams = 11,000 × 2.205 × 10⁻⁶ pounds

                           = 11 × 10³ × 2.205 × 10⁻⁶ pounds

                           = 24.255 × 10⁻⁶⁺³ pounds

                           = 24.255 × 10⁻³ pounds

Thus, The value of the number 11000 milligrams into pounds will be;

⇒ 24.255 × 10⁻³ pounds

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Answer:

square

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

12 is 40% of 30

The unit rate for planting is 1 1/6 acres per day.

To find the unit rate, we need to divide the total area planted by the number of days taken to plant it. We can convert the mixed number of days to an improper fraction by multiplying the whole number by the denominator and adding the numerator.

Therefore, 4 1/2 days can be converted to 9/2 days.

Now we can divide the total area of 5 1/4 acres by the number of days it took to plant it, which is 9/2 days. To divide fractions, we invert the second fraction and multiply, so:

5 1/4 ÷ 9/2 = 21/4 ÷ 9/2 = 21/4 x 2/9 = 42/36

We can simplify 42/36 by dividing both the numerator and denominator by their greatest common factor, which is 6.

42/36 = 7/6

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Thus, the value of the function for the given Laplace transformation is:

y(t)=(1/6)*∫[0,t]sin(6(t-u))du+30u(t-3)sin(6(t-3))

To take the Laplace transform of both sides of the given differential equation, we will use the fact that L{y''(t)}=s^2Y(s)-s*y(0)-y'(0) and L{g(t)}=G(s), where G(s) is the Laplace transform of g(t).

Thus, we have:
s^2Y(s)-s*0-0+36Y(s)=G(s)

Simplifying:
Y(s)(s^2+36)=G(s)

Solving for Y(s):
Y(s)=G(s)/(s^2+36)

To take the inverse Laplace transform of both sides, we will use the fact that L^-1{F(s)/s}=∫[0,∞]f(t)dt and L^-1{F(s)/(s^2+w^2)}=1/w*sin(wt).

Thus, we have:
y(t)=L^-1{Y(s)}=L^-1{G(s)/(s^2+36)}

Breaking up G(s) into two terms based on the definition of g(t), we have:
y(t)=L^-1{(t/(s^2+36))+(30e^(-3s)/(s^2+36))}

Taking the inverse Laplace transform of the first term:
L^-1{(t/(s^2+36))}=∫[0,t](1/6)*sin(6(t-u))du

Taking the inverse Laplace transform of the second term:
L^-1{(30e^(-3s)/(s^2+36))}=30u(t-3)sin(6(t-3))

Thus, our final solution for y(t) is:

y(t)=(1/6)*∫[0,t]sin(6(t-u))du+30u(t-3)sin(6(t-3))

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The least-squares error in the least-squares solution of ax = b is given by the equation:

\(||b - ax||^2 = (b - ax)^T(b - ax) = b^Tb - 2a^Tbx + a^Tax\)

The least-squares solution is the value of x that minimizes this error. This occurs when the derivative of the error with respect to x is equal to zero, and the second derivative is positive.

To find the least-squares solution, we take the derivative with respect to x and set it to zero:

\(-2a^T(b - ax) = 0\\a^Tb = a^Tax\)

This gives us the normal equation, which is the equation that x must satisfy in order to minimize the error. The solution of this equation is:

\(x = (a^Ta)^-1a^Tb\)

This is the least-squares solution of the equation ax = b, and it is the value of x that minimizes the least-squares error. The least-squares error is given by the equation:

\(||b - ax||^2 = b^Tb - 2a^Tbx + a^Tax = b^Tb - a^T(a(a^Ta)^-1a^Tb) = b^Tb - a^T(a^Tb)\)

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Answer: the answer is

53.1

Answer:

16p^12 q^4

Step-by-step explanation:

Open up the parenthesis and simplify.

2^4 is 16

p^3 times ^4 is p^12

q times ^4 is q^4

So your answer is 16p^12 q^4

Answer:

16p^12 q^4

Step-by-step explanation:

This is because the power 4 will multiple with all the variables inside

hence, p^3 will become p^12

and q^1 will become q^4

the power 4 will also change 2 into 2^4 which is 16

Answer:

£17253.53 to the nearest hundredth.

Step-by-step explanation:

Decreasing by 9,5% is equivalent to multiplying by  1 - 0.095 = 0.905.

19064.67 * 0.905

= £17253.52635.

Answer:

17253.53

Step-by-step explanation:

100%-9.5%=90.5%

100% = 19064.67

90.5% = 19064.67 ÷ 100 × 90.5

          = 17253.52635

          ≈ 17253.53 (corrected to 2 dp)

The function d(n) = 3^n-1 for n>2 generates the given geometric sequence.

The common ratio of the given geometric sequence is 3, which means that each term is obtained by multiplying the previous term by 3.

a(n)= 3^n for n>0 generates the sequence 3^1, 3^2, 3^3, 3^4, ... = 3, 9, 27, 81, ..., which is not the same as the given sequence.

b(n) = 3(3)^n for n>0 generates the sequence 3(3)^1, 3(3)^2, 3(3)^3, 3(3)^4, ... = 9, 27, 81, 243, ..., which is not the same as the given sequence.

c(n)= 3^n for n>2 generates the sequence 3^3, 3^4, 3^5, 3^6, ... = 27, 81, 243, 729, ..., which is not the same as the given sequence.

d(n) = 3^n-1 for n>2 generates the sequence 3^2, 3^3, 3^4, 3^5, ... = 9, 27, 81, 243, ..., which is the same as the given sequence starting from the third term.

Therefore, the function d(n) = 3^n-1 for n>2 generates the given geometric sequence.

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Answer: A

a(n) = 3^n for n > 0

Step-by-step explanation: Khan

Answer:

angle a = angle d

50 = 2x+25

x=25/2

angle c = angle f

30 = 80 -25y

-50 = -25y

y = 2

Hey! jeny.

︎⠀⠀⠀⠀⠀⠀⠀⠀⠀How are you?

From the fundamental identities, we know that

By substituting this result into the given expression, we have

Now, by distributing sine of phi into the parentheses, we have

or equivalently,

Now, from the Pythagorean identity:

we can note that

Then, by substituting this result into our last result from above, we obtain

Therefore, the answer is:

Answer:

9.4

Step-by-step explanation:

Hopefully this explains it well enough, I can go deeper if needed :)

Based on this equation, estimate the price of a car that had been driven 56 thousand kilometers.

Step-by-step explanation:

The equation of the javelin path h(t) = -16t^2+68t+6.5 is a quadratic function

The javelin hits the ground after 4.344 seconds

The equation of the javelin path is given as:

h(t) = -16t^2+68t+6.5

When it hits the ground, h(t) = 0.

So, we have:

-16t^2+68t+6.5 = 0

Using a graphing calculator, we have:

t = 4.344 and t = -0.094

Time cannot be negative.

So, we have:

t = 4.344

Hence, the javelin hits the ground after 4.344 seconds

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Answer:

Step-by-step explanation:

mP=5x-14

mQ=x-5

mR=2x-9

we know that all the angles in a triangle= 180

that means (5x-14)+(x-5)+(2x-9)=180

5x-14+x-5+2x-9=180  we add the variables and the numbers

8x=180+28

8x=108

x=26

mP=130-14=116

mQ=26-5=21

mR=43

Answer:

18

Step-by-step explanation:

f(2)=4x+10

f=(4)(2)+10

f=8+10

f=18