E = hf − w

w = ?
manipulate the equation.

Answer:

x=140

Step-by-step explanation:

A quadralterial interior angles sum up to 360. We are given three angles and need to find the missing angle.

Let x, represent the missing angle.

\(60 + 55 + 105 + x = 360\)

\(220 + x = 360\)

\(x = 140\)

Answer:

  (X_1, X_2) = (2, 4)

  Z = 110

Step-by-step explanation:

You want a graphical solution to ...

  minimize Z = 15 X_1 +20 X_2

  subject to ...

A graph of the reverse of the inequalities is attached. This makes the feasible solution region be white (rather than shaded multiple times), so its vertices are easier to see. (The dashed lines are part of the solution space.)

The vertex of the solution space that minimized the objective function is (X_1, X_2) = (2, 4). The minimum value of Z is 110.

Answer:

Ans: Rs 181.44.

Step-by-step explanation:

Answer:

i think the answer is 4

Step-by-step explanation:

i'm sorry if it isn't right i'm not the smartest person in the world

Answer:

$0.25

Step-by-step explanation:

If the baseball card is worth 60 times as much as before, and it's worth $15 right now, then:

$15 = 60x

This means that 60 times the original price x is $15.

The original price would be:

$15 = 60x

0.25 = x

x = $0.25

The surface area of the rectangular prism figure is S = 838 cm²

Given data ,

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

So, the value of S is given by

The heights of the prism is represented as 7cm.

S = ( 11 x 20 ) + ( 7 x 20 ) + ( 4 x 20 ) + 2( 5 x 7 ) + 2( 6 x 4 ) + ( 6 x 20 ) + ( 5 x 20 ) + ( 3 x 20 )

On simplifying the equation , we get

S = 220 + 140 + 80 + 70 + 48 + 120 + 100 + 60

S = 838 cm²

Therefore , the value of S is 838 cm²

Hence , the surface area is S = 838 cm²

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The probability that the three pieces can be assembled into a triangle is 25%

Let the length of the stick be 1, so each break can occur at a position in the interval [0,1]. Let x and y be the two breaks in the stick. Then the area of the region in the square bounded x=0, x=1, y=0, y=1, which represents combinations of x and y, for which we can form a triangle. Since the area of the whole square is 1, the area of the region inside is the probability of the triangle.

If y>x, then the lengths of the pieces are x, y-x, and 1-y.

The triangle inequality must hold for each combination of edges.

for  y>x ...

x+y−x≥1−y

x+1−y≥y−x

y−x+1−y≥x

these simplify to...

for  y>x ...

y≥1/2

x+1/2≥y

x≤1/2

If we cut our 1x1 square into two triangles along the line x=y,

then the region in the upper triangle which satisfies the inequalities above forms a smaller triangle which connects the midpoints of the upper triangle.

The lower triangle (x>y), is just a reflection about x=y of the upper triangle, so together, the entire region looks like a bow-tie at a 45 degree angle.

This region takes up 25% of the square,

Thus, the probability that the three pieces can be assembled into a triangle is 25%

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Answer:

How much is 78 worth after years using an annual interest rate of 153% compounded annually?

Step-by-step explanation:

Here's a complete pseudo-code description of the recursive merge-sort algorithm:

function mergeSort(arr):

   if length of arr <= 1:

       return arr

   // Split the array into two halves

   mid = length of arr / 2

   left = arr[0:mid]

   right = arr[mid:end

   // Recursive calls to sort the two halves

   left = mergeSort(left)

   right = mergeSort(right)

   // Merge the sorted halves

   return merge(left, right)

function merge(left, right):

   result = empty array

   i = 0 // index for the left array

   j = 0 // index for the right array

   // Compare elements from both arrays and merge them in sorted order

   while i < length of left and j < length of right:

       if left[i] <= right[j]:

           append left[i] to result

           i++

       else:

           append right[j] to result

           j++

   // Append any remaining elements from the left array

   while i < length of left:

       append left[i] to result

       i+

   // Append any remaining elements from the right array

   while j < length of right:

       append right[j] to result

       j++

   return result

This pseudo-code assumes a 0-based indexing system for arrays. Also, length of arr represents the length of the array. The append operation adds an element to the end of an array.

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Answer:

1/22

Step-by-step explanation:

2/11 = 4/22 therefore 4/22 + x = 5/22 and 5/22 - 4/22 = 1/22

\(\huge\bold{Given :}\)

✎ Sum of two numbers = \( \frac{5}{22} \)

✎ One of the number = \( \frac{2}{11} \)

\(\huge\bold{To\:find :}\)

✿ The other number.

\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)

\(\sf\blue{The \:other \:number \:is }\) \( \frac{1}{22} \). ✅

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

❥ Let the other number be \(x\).

❥ As per the question, we have

\(sum \: of \: the \: two \: numbers = \frac{5}{22} \\ \\ ⇢  \frac{2}{11} + x = \frac{5}{22} \\ \\⇢ x = \frac{5}{22} - \frac{2}{11} \\ \\ ⇢ x = \frac{5}{22} - \frac{2 \times 2}{11 \times 2} \\ \\⇢ x = \frac{5 - 4}{22} \\ \\ ⇢ x = \frac{1}{22} \)

\(\sf\purple{Therefore,\:the\:other\:number\:is}\) \( \frac{1}{22} \).

\(\huge\bold{To\:verify :}\)

\( \frac{2}{11} + \frac{1}{22} = \frac{5}{22} \\ \\➪ \: \frac{2 \times 2}{11 \times 2} + \frac{1}{22} = \frac{5}{22} \\ \\ ➪ \: \frac{4 + 1}{22} = \frac{5}{22} \\ ➪ \: \frac{5}{22} = \frac{5}{22} \\ \\ ➪ \: L. H. S. = R. H. S\)

Hence verified. ✔

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)

There is enough proof to indicate that the percentage of newsletter readers who possess a Rolls Royce is less than 69%.

The null hypothesis is that p = 0.69, meaning that 69% of the newsletter readers own a Rolls Royce. The alternative hypothesis is that p < 0.69, meaning that less than 69% of the newsletter readers own a Rolls Royce.

We can use a one-tailed z-test to test the hypothesis. Assuming a sample size of n = 100, if we observe fewer than 69 Rolls Royces in our sample, we can reject the null hypothesis.

Using a z-test, we can calculate the z-score by using the formula:

z = (p' - p) / sqrt(p * (1 - p) / n)

where p' is the sample proportion, p is the hypothesized proportion, and n is the sample size.

At a significance level of 0.10, the critical z-value is -1.28. If the calculated z-score is less than -1.28, we can reject the null hypothesis.

If we conduct a survey of 100 newsletter readers and find that 58 of them own a Rolls Royce, the sample proportion would be p' = 0.58. Calculating the z-score, we get:

z = (0.58 - 0.69) / sqrt(0.69 * 0.31 / 100) = -1.83

Since -1.83 is less than -1.28, we can reject the null hypothesis and conclude that there is sufficient evidence to suggest that fewer than 69% of the newsletter readers own a Rolls Royce.

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From the expression we can see that it is translated 3 units downwards from the origin.

The probability of drawing two red buttons is:

P = 0.0326

There are:

So there are a total of 32 + 48 + 44 + 51 = 175

We assume that all the buttons have the same probability to being randomly drawn.

For the first button, the probability of drawing a red one is equal to the quotient between the number of red buttons and the total number of buttons:

p = 32/175

For the second button the probability is computed in the same way, but now there are 31 red buttons and 174 buttons in total, so we have:

q = 31/174

Finally, the joint probability is given by the product between p and q, this gives:

p*q = (32/175)*(31/174) = 0.0326

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Answer:

aiwans its blu

Step-by-step explanation:

ais djdmsm djfn

Answer:

C

Step-by-step explanation:

The population ratio is 150/175

If you divide the top of the fraction and the bottom of the fraction by 25, you get 6/7

So in keeping with that ratio, You should use 6 boys and 7 girls. The answer is  C.

Step-by-step explanation:

option A

3 IS CORRECT

HOPE IT HELPS

Answer:

3

Step-by-step explanation:

edge 2021

The present value of the payments is smaller than the amount of the loan, so you will not be able to pay off the loan.

The present value of the payments refers to the current value of the future payments, considering the time value of money. In this case, the payments are made over a period of 8 months, and each payment is listed. To determine if the payments will be enough to pay off the credit card, we need to calculate the present value of these payments and compare it to the initial loan amount of $5,000.

Since the interest rate on the credit card is 1.5% per month, we need to discount each payment back to its present value. By discounting the payments, we can see the equivalent value of these payments in today's dollars. If the present value of the payments is equal to or greater than $5,000, it would be enough to pay off the loan. However, if the present value is smaller than $5,000, it means the payments will not be sufficient to pay off the loan.

In this case, without specific information about the discount rate used to calculate the present value, we cannot make an exact determination. However, based on the given information, which states that the present value of the payments is smaller than the amount of the loan, it suggests that the payments will not be enough to pay off the credit card debt.

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Answer:

20 mi/gal

Step-by-step explanation:

310/ 15.5 = 20

Answer:

7.02 ft

Step-by-step explanation:

Tan=opposite/adjacent

Answer:

7.02 ft

hi

your welcome have a good

day

Step-by-step explanation:

The cost for a group of 3 that include 2 children is $100.99.

Let a be the cost of an adult admission and c be the cost of a child admission.

From the first statement, we can set up the equation:

3c + 2a = 176.98

From the second statement, we can set up the equation:

2c + 4a = 245.96

Simplifying the second equation by dividing both sides by 2, we get:

c + 2a = 122.98

Now we have a system of two equations with two unknowns:

3c + 2a = 176.98

c + 2a = 122.98

Solving for c in the second equation:

c = 122.98 - 2a

Substituting this value of c into the first equation:

3(122.98 - 2a) + 2a = 176.98

Simplifying and solving for a:

368.94 - 6a + 2a = 176.98

-4a = -191.96

a = 47.99

Substituting this value of a back into the equation we found for c:

c = 122.98 - 2(47.99) = 26

So the cost for an adult admission is $47.99 and the cost for a child admission is $26.

To find the cost for a group of 3 that include 2 children, we can set up the equation:

2c + a = ?

Substituting the values we found:

2(26) + 47.99 = 100.99

So the cost for a group of 3 that include 2 children is $100.99.

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Answer:

D

Step-by-step explanation:

when x=1, y should = 2

2(1)=2

so y=2x is correct

Mean of older groups = 16

Mean of younger groups = 14

If you tested two age groups on the number of details, Further suppose that you fail to reject the null hypothesis for this independent samples t-test.

the difference between these sample means,

As we fail to reject the null hypothesis, the sample means probably came from the same population, and the difference is just due to sampling error.

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(1) Total variation: The total variation is the sum of squares of the differences between the observed values of the dependent variable (y) and the mean of the dependent variable (ȳ).

Total variation = SS Total = 464,130,862.6855

Explained variation: The explained variation is the sum of squares of the differences between the predicted values of the dependent variable (ŷ) and the mean of the dependent variable (ȳ).

Explained variation = SS Regression = 462,192,435.0183

Unexplained variation: The unexplained variation is the sum of squares of the differences between the observed values of the dependent variable (y) and the predicted values of the dependent variable (ŷ). Unexplained variation = SS Residual = 1,938,427.6672

(2) R² and R-bar squared:

R² (Coefficient of determination) = 0.9958

R-bar squared (Adjusted coefficient of determination) = 0.9948

(3) SSE (Sum of Squares of Errors): SSE is the sum of the squared differences between the observed values of the dependent variable (y) and the predicted values of the dependent variable (ŷ).

SSE = 1,938,427.6672

s² (Mean squared error): s² is the mean squared error, which is obtained by dividing SSE by the degrees of freedom.

s² = SSE / (n - p - 1) = 161,535.6389

s (Standard error): The standard error is the square root of s².

s = √s² = √161,535.6389 = 401.9150

(4) F(model) statistic:

The F(model) statistic is calculated by dividing the explained variation (SS Regression) by the unexplained variation (SS Residual) divided by its degrees of freedom.

F(model) = (SS Regression / df Regression) / (SS Residual / df Residual)

         = (154,064,145.0061 / 3) / (161,535.6389 / 12)

         = 953.7471

(5) To test the significance of the linear regression model, we compare the F(model) statistic with the critical F-value at a given significance level (α = 0.05). The critical F-value is obtained from the F-distribution table or software.

(6) The p-value related to F(model) can be found in the ANOVA table. The p-value indicates the probability of observing an F-statistic as extreme as the one calculated, assuming the null hypothesis (no relationship between the predictors and the response) is true. By comparing the p-value to a chosen significance level (α), we can determine the significance of the linear regression model.

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The  probability that the sample mean would differ from the true mean by greater than 158 dollars if a sample of 226 persons is randomly selected is 0.99

mean per capita income is 19,695 dollars per annum , μ = 19695

a variance of 802,816, σ² = 802816

Standard deviation σ = √802816= 896

Sample size = 226

To find the probability that the sample mean would differ from the true mean by greater than 158 dollars i.e. less than 19537 dollars and more than 19853 dollars.

The formula for z-score :-

\(z = \frac{x - mean}{\frac{\alpha }{\sqrt{n} } } \\\)

For x = 19537 dollars

\(z = \frac{19537 - 19695}{\frac{\ 896 }{\sqrt{226} } } \\\)

z = -2.65

For x = 19853 dollars

\(z = \frac{19853 - 19695}{\frac{\ 896 }{\sqrt{226} } } \\\)

z = 2.65

The P-value=

P(z < -2.65) + P(z > 2.65 = 2P(z > 2.65) = 2x. 0.495975

= 0.99

Therefore, the  probability that the sample mean would differ from the true mean by greater than 158 dollars if a sample of 226 persons is randomly selected is 0.99

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Answer:

g(1) = 2

Step-by-step explanation:

g(x)=−x+3

g(1)=

Let x = 1

g(1) = -1+3 = 2

The (4·w - 5)° measure of the arc, and and the (3·w)° measure of the angle subtended by the arc at the center of the circle, indicates that the value w is 5

The correct option is therefore;

C. 5

An arc of a circle is a part of the circumference of the circle

The measure of the specified arc is; (4·w - 5)°

The measure of the angle at the center of the circle is; (3·w)°

The measure of an arc of a circle is the same as the angle subtended at the center of the circle

Therefore, we get; (4·w - 5)° =  (3·w)°

(4·w - 5)° =  (3·w)°

4·w - 3·w = 5

w = 5

The correct option is option C

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The value of w in the circle is 5.

An arc of a circle is a portion of the circumference of a circle. It is defined by two endpoints and the arc itself.

The measure of an arc is given in degrees or radians, and it is determined by the angle that it subtends at the center of the circle.

Thus, the measure of arc BC is (4w-5)° which is determined by (3w)°. That is:

(4w-5)° = (3w)°

4w-5 = 3w

4w - 3w = 5

w = 5

Therefore, the value of w is 5.

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The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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Answer:

<DKF IS 54° BECAUSE IT IS VERTICALLY OPPOSITE ANGLE OF THE<IKL.