Suppose grades on a business statistics exam are adequately described by a normal distribution with mean 76 and standard deviation of 6. If a professor decides to give As to those who scored 90 and above and Fs to those who scored 60 and below, what proportion of As and Fs combined would the professor be assigning. Indicate the interval below that contains this proportion i) .2000 to .2499 ii) 0.1500 to .1999 iii) .0000 to .0999 iv) .1000 to 1.499 v) .2500 to 1.000

Answer:

11n/2 - p/2 -2

Please give me braniest

Answer:

50 times

Step-by-step explanation:

Total number of faces = total possible outcomes = 8

Number of 2 or 3 on spinner = required outcome = 2

Probability of obtaining a 2 or 3 = required outcome / Total possible outcomes

P(2 or 3) = 2 / 8 = 1/ 4

From 200 ; prediction for the number of 2 or 3

1/4 * 200

= 50 times

Answer:

Week 4, 1400

Brainliest plz

Step-by-step explanation:

Answer:

Week 3 and 900 cm

Step-by-step explanation:

Brainliest Please!

Answer:

$12.05

Step-by-step explanation:

217 divides by 18 is 12.05

Answer:

10/6 i think

Step-by-step explanation:

The probability of seeing exactly 5 hearts out of 10 cards is\((13/52)^5 × (39/52)^5.\)

The probability of seeing exactly 5 hearts out of 10 cards can be calculated as follows: The total number of cards in a deck is 52. The number of hearts in a deck is 13. Since no card has been removed from the deck, the probability of seeing a heart is 13/52. The probability of seeing a non-heart is 39/52. Since we are looking at 10 cards, the probability of seeing exactly 5 hearts,

p(h)= 13/52

p(nh) = 39/52

hence, \((13/52)^5 × (39/52)^5\)

This means that the probability of seeing exactly 5 hearts out of 10 cards is \((13/52)^5 × (39/52)^5.\)

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Answer:

\(h(x)=\dfrac{1}{4}x\)

Step-by-step explanation:

The inverse of a function is its reflection in the line y = x.

Given function:

\(f(x)=4x\)

The given function has an unrestricted domain and range.

To find the inverse of the given function, first replace f(x) with y:

\(\implies y=4x\)

Rearrange the equation to isolate x:

\(\implies \dfrac{y}{4}=\dfrac{4x}{4}\)

\(\implies \dfrac{1}{4}y=x\)

\(\implies x=\dfrac{1}{4}y\)

Swap the x for f⁻¹(x) and the y for x:

\(\implies f^{-1}(x)=\dfrac{1}{4}x\)

This is the inverse of the given function.

The domain of the inverse function is the range of the function.

The range of the inverse function is the domain of the function.

Therefore, the domain and the range of the inverse function are unrestricted.

Therefore, the function that represents the inverse of f(x) = 4x is:

\(\boxed{h(x)=\dfrac{1}{4}x}\)

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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Step-by-step explanation:

here's your solution

=> volume of cylinder = πr^2h

=> radius of cylinder = 12 unit

=> height of cylinder = 17 unit

=> volume of cylinder = 2448 π units^3

\(\huge\mathcal\pink{here's \: your \: solution}\)

\(\huge\mathfrak\purple{hope \: it \: helps \: }\)

Answer:

50 feet²

Step-by-step explanation:

r = 4 feet

Area of circle = \(\pi\) r²

                      = 3.14 * 4 * 4

                      = 50.24 = 50 feet²

Answer:

50.24 square feet

Step-by-step explanation:

area = π\(r^{2}\)

area = 3.14 x 4ft

area = 50.24\(ft^{2}\)

Answer:

0000009215

Step-by-step explanation:

move decimal left 7 digits

Solution:

Let the two digits of a number be X and Y

Let the digit at 10's place = X

Let the digit at 1's place = Y

The two digit number = 10X+Y

Given that

The sum of the digits = 9

⇛ X+Y = 9

⇛X = 9-Y →→→→eqn(i)

If 9 is added to the number the digits interchanged

⇛10X+Y +9 = 10Y+X

⇛10X+Y+9-10Y-X = 0

⇛9X-9Y +9 = 0

⇛9(X-Y+1) = 0

⇛X-Y+1 = 0

⇛9-Y-Y+1 = 0

⇛10-2Y = 0

⇛2Y = 10

⇛Y = 10/2

⇛Y = 5

Now

X = 9-5 = 4

Therefore the number = 45 Ans.

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Answer:

see that attachment

I hope it's help you

Answer:

ɪ ʟᴏᴠᴇ ʏᴏᴜ sᴏ ᴍᴜᴄʜ ᴘʟssssss

Answer:

\( {y}^{ - 1} = \sqrt{x - 16} \)

Step-by-step explanation:

The total number of chocolate chips in the cookies is 1000. All the cookies, except one, have the same number of chips, while the remaining cookie has one more chip than the others. The number of cookies in the jar is between one dozen (12 cookies) and three dozen (36 cookies).

To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we can follow these steps:

1. Let's assume the number of cookies in the jar is "x". Since the number of cookies is between one dozen and three dozen, we have the inequality: 12 ≤ x ≤ 36.

2. Since all the cookies, except one, have the same number of chips, we can divide the total number of chocolate chips by the number of cookies minus one. This gives us the number of chips in each cookie (excluding the one with the extra chip). So, the number of chips in each cookie is 1000 ÷ (x - 1).

3. The cookie with the extra chip has one more chip than the others. Therefore, the number of chips in the cookie with the extra chip is 1000 ÷ (x - 1) + 1.

4. To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we add the number of cookies (x) and the number of chips in the extra chip cookie (1000 ÷ (x - 1) + 1).

Remember that the number of cookies in the jar is between one dozen and three dozen, so the sum will vary depending on the number of cookies. You can substitute different values within the given range (12 ≤ x ≤ 36) to find different possible sums.

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Answer:

159.75

Step-by-step explanation:

23.50×5=117.5

117.5+42.25=159.75

These are the results of the set operations between set A and set B.

a) A ∪ B = {x, y, z, t, q, p, r, s}

b) A ∩ B = {x, y, z, t, q}

c) A - B = {z}

d) B - A = {p, r, s}

Let's find the set operations between set A and set B step by step:

a) Union (A ∪ B):

The union of two sets A and B, denoted as A ∪ B, is the set that contains all the elements present in either set A or set B (or both). To find the union of A and B, we combine all the elements from both sets without duplication:

A = {x, y, z, t, q}

B = {x, y, z, t, p, q, r, s}

A ∪ B = {x, y, z, t, q, p, r, s}

Therefore, the union of set A and set B is {x, y, z, t, q, p, r, s}.

b) Intersection (A ∩ B):

The intersection of two sets A and B, denoted as A ∩ B, is the set that contains all the elements common to both set A and set B. To find the intersection of A and B, we identify the elements that are present in both sets:

A = {x, y, z, t, q}

B = {x, y, z, t, p, q, r, s}

A ∩ B = {x, y, z, t, q}

Therefore, the intersection of set A and set B is {x, y, z, t, q}.

c) Set Difference (A - B):

The set difference between two sets A and B, denoted as A - B, is the set that contains all the elements that are in set A but not in set B. To find the set difference of A and B, we exclude the elements present in set B from set A:

A = {x, y, z, t, q}

B = {x, y, z, t, p, q, r, s}

A - B = {z}

Therefore, the set difference of set A and set B is {z}.

d) Set Difference (B - A):

The set difference between two sets B and A, denoted as B - A, is the set that contains all the elements that are in set B but not in set A. To find the set difference of B and A, we exclude the elements present in set A from set B:

A = {x, y, z, t, q}

B = {x, y, z, t, p, q, r, s}

B - A = {p, r, s}

Therefore, the set difference of set B and set A is {p, r, s}.

To summarize:

a) A ∪ B = {x, y, z, t, q, p, r, s}

b) A ∩ B = {x, y, z, t, q}

c) A - B = {z}

d) B - A = {p, r, s}

These are the results of the set operations between set A and set B.

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The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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Answer:

c is 1

o is q

h is 2

in ch3

c is 2 h is 3

and finally o is 1

Hey there mate :)

When a number is multiplied by a fraction equal to 1, the value of the number remains the same.

Using this, we can find the values:-

Image 2 answers :

\( \frac{4}{5} \times \frac{4}{4} = \frac{4}{5} \)

When we cancel the same 4 of LHS remaining we get as 4/5. By doing the same method, we can find the remaining answers.

\(\frac{2}{3} \times \frac{7}{7} = \frac{2}{3} \\ \\ \frac{5}{6} \times \frac{8}{8} = \frac{5}{6} \\ \\ \frac{3}{4} \times \frac{5}{5} \)

Image 1 answers :

\( \frac{2}{3} \times \frac{4}{2} = \frac{4}{3}\)

Here, cancel the common numbers in LHS and write back the remaining uncancelled numbers to get 4/3 in RHS.

Using same method,

\( \frac{3}{4} \times \frac{5}{3} = \frac{5}{4} \)

Next, Now in last two questions, we have to do a little differently. Till this much time we did by cancelling the common numbers. So, multiply the numerator and denominator.

\( \frac{1}{4} \times \frac{3}{2} \\ = > \frac{1 \times 3}{4 \times 2} \\ = > \frac{3}{8} \)

So, above question's answer is 3/8.

Likewise, using the same method, find the next question :-

\( \frac{2}{5} \times \frac{4}{3} \\ = > \frac{2 \times 4}{5 \times 3} \\ = > \frac{8}{15}\)

So, next answer is 8/15.

Hope this Helps...

\(Benjemin360 :)\)

Any quadratic function whose leading coefficient is greater than 1 is narrower than \(h(x) = x^2\).

The function \(h(x) = x^2\) belongs to the family \(y = a\cdot x^{2}\), where \(a\) is a real coefficient. The greater the \(a\), the narrower the graph. Hence, any function whose leading coefficient is greater than \(a\) presents a narrower form, that is, \(y\) shows greater values for a given value of \(x\).

Any quadratic function whose leading coefficient is greater than 1 is narrower than \(h(x) = x^2\). \(\blacksquare\)

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Answer:

Step-by-step explanation:

rwerdfsdfsdfsdfsdfsdfsdfsdfsdfsd           56

Answer:     a) $481.62      b) $16,569.76

Step-by-step explanation:

The formula for compound interest is:    \(A = P(1 + r)^t\)     where

Given: P = 3000, r = 1.15% (0.015), t = 10

\(A = 3000(1 + 0.015)^{10}\\\\\\A = 3000(1.015)^{10}\\\\\\A = 3,481.62\)

Interest Earned = accrued amount - principle

                          = 3,481.62 - 3,000

                           =   481.62

******************************************************************************************

I couldn't remember the formula so I created a table:

\(\begin{array}{c||l|c||r}\underline{Jan\ 1}&\underline{Interest\ Earned}&\underline{Deposit}&\underline{Balance}\\2019&0&3000&3,000.00\\2120&3000(1.015)&1200&4,245.00\\2121&4245(1.015)&1200&5,508.68\\2122&5508.68(1.015)&1200&6,791.31\\2123&6791.31(1.015)&1200&8,093.17\\2124&8093.17(1.015)&1200&9,414.57\\2125&9414.57(1.015)&1200&10,755.79\\2126&10755.79(1.015)&1200&12,117.13\\2127&12117.13(1.015)&1200&13,498.88\\2128&13498.88(1.015)&1200&14,901.37\\2129&14901.37(1.015)&1200&16,324.89\\\end{array}\)

2130  || 16324.89(1.015)  |       0      ||  16,569.76

Answer:

B. 10x2y + 12z2 – 2z

Step-by-step explanation:

Divide all the terms by 2:

2xy + 12z + 3xy - z

 10x2y + 12z2 – 2z

                combine the like terms

The solution to the initial value problem dy/dt + 0.4ty = 2t, y(0) = 2 is given by y = (0.2t^2 + 2) / e^(0.2t^2). We can start by recognizing that this is a first-order linear ordinary differential equation.

To solve the given initial value problem:

dy/dt + 0.4ty = 2t, y(0) = 2

We can use an integrating factor to solve it.

The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is 0.4t:

μ(t) = e^(∫0.4t dt)

    = e^(0.2t^2)

Now, we multiply both sides of the differential equation by the integrating factor μ(t):

e^(0.2t^2) * dy/dt + 0.4te^(0.2t^2) * y = 2te^(0.2t^2)

Next, we can rewrite the left-hand side of the equation as the derivative of the product of the integrating factor and y:

d/dt (e^(0.2t^2) * y) = 2te^(0.2t^2)

Integrating both sides with respect to t:

∫ d/dt (e^(0.2t^2) * y) dt = ∫ 2te^(0.2t^2) dt

Integrating the right-hand side gives:

e^(0.2t^2) * y = ∫ 2te^(0.2t^2) dt

                 = ∫ 2t d(0.2t^2)  (using u-substitution, let u = 0.2t^2)

                 = ∫ du

                 = u + C

                 = 0.2t^2 + C

Now, we can solve for y:

e^(0.2t^2) * y = 0.2t^2 + C

Dividing both sides by e^(0.2t^2):

y = (0.2t^2 + C) / e^(0.2t^2)

To find the value of C, we can use the initial condition y(0) = 2:

2 = (0.2(0)^2 + C) / e^(0.2(0)^2)

2 = C

Substituting C = 2 back into the solution equation:

y = (0.2t^2 + 2) / e^(0.2t^2)

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The appropriate decision for this problem would depend on the calculated test statistic and its comparison to the critical value from the t-distribution table with a significance level of 0.01.

To determine the appropriate decision for this problem, the researcher needs to perform a hypothesis test. The null hypothesis (H0) would state that there is no difference in the mean prices of midrange homes between the two cities, while the alternative hypothesis (Ha) would state that there is a difference.

Since the sample sizes are relatively large (21 and 26), and the data is assumed to be normally distributed with similar variances, a two-sample t-test would be appropriate for comparing the means. The researcher can calculate the test statistic by using the formula:

\(t = (x1 - x2) / \sqrt{((s1^2 / n1) + (s2^2 / n2))}\)

Where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

With the calculated test statistic, the researcher can compare it to the critical value from the t-distribution table with (n1 + n2 - 2) degrees of freedom, and a significance level of 0.01. If the test statistic falls within the critical region (i.e., it exceeds the critical value), the researcher can reject the null hypothesis and conclude that there is a significant difference in mean prices between the two cities. Otherwise, if the test statistic does not exceed the critical value, the researcher fails to reject the null hypothesis and concludes that there is not enough evidence to suggest a difference in mean prices.

In this case, the appropriate decision would depend on the calculated test statistic and its comparison to the critical value.

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The time it takes for a rocket following the path h(x)= -4x² + 16x to hit the ground is 4 seconds.

How to find the time for a rocket to hit the ground?

The given path equation is a function of x which is a time variable here. When the rocket hits ground, height of the rocket gets zero.

Hence equating the equation of height to zero and solving for x will give the time required for the rocket to hit the ground.

According to the given question:

We are given equation for height as

h(x) = -4x² + 16x

where x is the time in seconds

When object hits the ground the height becomes 0

So, we can set h(x) = 0 and then we can solve for x

-4x² + 16x = 0

Dividing by -4x from both sides

x - 4 = 0

x = 4 sec

So, the time it takes for a rocket  to hit the ground is 4 seconds.

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Answer:

-1/3

Step-by-step explanation:

Answer:

Let (x1, y1) = (-9, 5) and (x2, y2) = (3, 2) be the two points.

The formula for finding the slope between two points is:

m = (y2 - y1) / (x2 - x1)

Substituting the values, we get:

m = (2 - 5) / (3 - (-9))

m = -3 / 12

m = -1/4

Therefore, the slope between the points (-9, 5) and (3, 2) is -1/4.

Answer:

M = -1/4

Step-by-step explanation:

(y2-y1)/(x2-x1) = Slope

we use the x and y components of the given coordinates to find out the answer.

Therefore,

(2-5)/(3-(-9)) = -1/4