Jason has 34 raspberry scones and 51 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of raspberry scones and an equal number of blackberry scones. What is the greatest number of bags Jason can​ fill? Explain how you know.

Sixteen randomly selected engines were tested, and their maximum horsepower values are provided. Assuming the data is normally distributed and using a significance level of 0.05, the test statistic is computed to assess the hypothesis.

To perform the hypothesis test, we will use a t-test for the mean. The null hypothesis (H0) assumes that the average maximum horsepower for the experimental engines is equal to the calculated maximum horsepower of 630HP. The alternative hypothesis (Ha) assumes that the average maximum horsepower is significantly different from 630HP.

Using the provided data, we calculate the sample mean of the maximum horsepower values:

(643 + 641 + 598 + 621 + 644 + 601 + 649 + 652 + 671 + 653 + 666 + 654 + 670 + 670 + 666 + 654) / 16 = 651.0625

Next, we calculate the sample standard deviation to estimate the population standard deviation:

s = √[((643 - 651.0625)^2 + (641 - 651.0625)^2 + ... + (654 - 651.0625)^2) / (16 - 1)] ≈ 24.663

Using the formula for the t-test statistic:

t = (sample mean - hypothesized mean) / (sample standard deviation / √sample size)

t = (651.0625 - 630) / (24.663 / √16) ≈ 2.027

Finally, comparing the calculated t-value of 2.027 with the critical t-value at a significance level of 0.05 (using a t-distribution table or software), we determine whether to reject or fail to reject the null hypothesis. If the calculated t-value falls outside the critical region, we reject the null hypothesis and conclude that there is a significant difference between the average maximum horsepower and the calculated maximum horsepower.

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5/9 of mass of metalx=7kg

5/9*mass ofmetal x=7kg

divide both sides by 5/9

value of mass metalx=63/5

2/7 of mass metalx=?kg

2/7*63/5=126/35kg=3.6kg

Answer:

is B

Step-by-step explanation:

trust me dawg

Answer:

AB and DE

Step-by-step explanation:

Look closely and you can notice whats the difference.

OK

If the staysail is 10.5 feet and height is 30 feet then the area of the staysail is 157.5 feet²

To find the area of the staysail, we can use the formula for the area of a triangle:

Area of triangle = 1/2 x base x height

In this case, the base of the staysail is given as 10.5 feet and the height is given as 30 feet.

Substituting these values into the formula, we get:

Area of staysail = 1/2 x 10.5 feet x 30 feet

Simplifying the expression, we get:

Area of staysail = 0.5 x 10.5 feet x 30 feet

Area of staysail = 157.5 square feet

Therefore, the area of the staysail is 157.5 square feet. This means that if the staysail were to be laid flat, it would cover an area of 157.5 square feet.

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Step-by-step explanation:

step 1. a circle with r = 2 has area of (pi)r^2 = (pi)(4) = 4pi

step 2. a circle with r = 3 has area of (pi)r^2 = (pi)(9) = 9pi

step 3. the area, A, of a circle is half the sum of the area of the circles with r = 2 and r = 3

step 4. A = (4pi + 9pi)/2 = 13pi/2 = 6.5(pi).

step 5. the answer is not 6.5 but is 6.5(pi) or 6.5 times pi.

Answer: 9 faces.

Step-by-step explanation: Euler's Formula states that the number of faces plus the number of vertices minus the number of edges is equal to 2. Using the given information, we can plug in the values to get:

F + 5 - 12 = 2

Simplifying the equation, we get:

F - 7 = 2

Adding 7 to both sides, we get:

F = 9

Therefore, the missing number is 9 faces.

The event the student could run a mile in less than 8.27 minutes in terms of the value of the random variable y. The Probability of Y< 6 of 6.68%.

Random Variable:

A random variable is a variable whose value is unknown or a function that assigns a value to each outcome of an experiment. Random variables are often denoted by letters and can be classified as either discrete (variables that have a specific value) or continuous (variables that can take any value in a continuous range).

In probability theory and statistics, random variables can have many values ​​because they are used to quantify the outcome of random events. Random variables must be measurable and are usually real numbers. For example, the letter X can represent the sum of the numbers after rolling three dice. In this case, X can be 3(1 + 1 + 1), 18(6 + 6 + 6), or between 3 and 18. This is because the highest number on the dice is 6 and the lowest number is 1.

Given information.  

We have mean 7.11 minutes and standard deviation 0.74 minute.

We have to find the value of z.

Now,

    z = (x - μ/ σ)z

      = (6 - 7.11/ 0.74) z

      ≈ -1.50

Now,

The probability of Y < 6

P(Y< 6) = P(Z < -1.50)

            = 0.0668

            = 6.68%

Complete Question:

Running a mile A study of 12000 able-bodied male students at the University of Illinois found that their times for the mile run were approximately Normal with mean 7.11 minutes and standard deviation 0.74 minute. 7 Choose a student at random from this group and call his time for the mile Y. Find P(Y < 6) . Interpret this value.

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Using proportions, it is found that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The unit price is given by the cost divided by the number of ounces, and the better deal is given by the deal with the lowest unit price.

Hence, for the 11.3 ounce package:

u = 3.68/11.3 = $0.33 per ounce.

For the 29.3 ounce package:

u = 8.98/29.3 = $0.31 per ounce.

Due to the lower unit cost, the 29.3 ounce package is the better deal.

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The expanded form of the number 27.430 is 20 + 7 + 0.400 + 0.30.

A billing statement is a recurring statement that details every transaction made on your credit card account during the billing cycle, including purchases, payments, and other debits and credits. Every month or so, your credit card company will send you a billing statement.

Given that the number is 27.430. The expanded form of the number is written as:-

Expanded form:-

27.430 = 20 + 7 + 0.400 + 0.30.

When we add all the values of the expanded form we will get the previous value.

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Answer:

Step-by-step explanation:

0.25×7+0.05×7+0.10d=2.70

7(0.25+0.05)+0.10d=2.70

7(0.30)+0.10d=2.70

2.10+0.10d=2.70

0.10d=2.70-2.10

0.10d=0.60

d=0.60/0.10=6

Hence D

Answer: 67.97%

Step-by-step explanation: I took the test. THE ANSWER IS NOT 39.56%.

Answer:

67.97

Step-by-step explanation:

I took the test

Answer:

16

Step-by-step explanation:

Given expression:

       log(5x + 20) = 2

From the given expression, we are to find x;

   Using the rule of logarithm, we can solve this problem;

             logₐb = C

                    b  = Cᵃ

So;

            log(5x + 20) = 2

  this is to base 10;

                    5x + 20 = 10²

                    5x  = 100 - 20

                    5x  = 80

                      x  = 16

Answer:

16 was right

Step-by-step explanation:

The maximum value of 3x + y is 5/3, which is achieved when x = 1/3 and y = 4/3.

We can solve this optimization problem using the simplex method. First, we convert the problem to standard form:

Maximize: 3x + y + 0u + 0v + 0s1 + 0s2

Subject to:

-x + y + u + s1 = 1

2x + y + v + s2 = 4

x, y, u, v, s1, s2 ≥ 0

We then construct the initial simplex tableau:

| 1 -1 1 0 1 0 | 1

| 2 1 0 1 0 4 | 4

| 3 1 0 0 0 0 | 0

The pivot element is the entry in the first row and first column, which is 1. We use row operations to make all other entries in the first column zero. We subtract row 1 from row 2, and subtract 3 times row 1 from row 3:

| 1 -1 1 0 1 0 | 1

| 0 3 -1 1 -1 4 | 3

| 0 4 -3 0 -3 0 | -3

The new pivot element is the entry in the second row and second column, which is 3. We use row operations to make all other entries in the second column zero. We divide row 2 by 3, and subtract 4 times row 2 from row 3:

| 1 0 1/3 -1/3 2/3 4/3 | 5/3

| 0 1 -1/3 1/3 -1/3 4/3 | 1

| 0 0 -1/3 -4/3 -5/3 -16/3 | -5

All entries in the objective row are positive or zero, so we have found the optimal solution. The maximum value of 3x + y is 5/3, which is achieved when x = 1/3 and y = 4/3.

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In a performance there will be 5 songs and 3 dances

Total objects 5+3 = 8

Number of ways of arranging this objects is 8! = 40,320...........(1)

If all the dances must be next to each other than all dances should take as an object as 3!

Number of ways of arranging performing taking dance to each other

is = (5+1)! 3!

    = 6! 3!

    = 4320 ....................(2)

Number of ways to arrange the shows if all dances can not be next to each other = (1) - (2)

         = 40320-4320

         = 3600 ways

Number of ways to arrange the shows if all the dances must be next to each other is 4320 ways.

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Let's solve the problems and provide the answers with the correct number of significant figures:

(4.307 × 10^4) × (6.2 × 10^-3)

Multiplying the numbers:

(4.307 × 6.2) × (10^4 × 10^-3) = 26.6974 × 10^1

Since the result is in scientific notation, we multiply the decimal part by the power of 10:

26.6974 × 10^1 = 266.974

To express the answer with the correct number of significant figures, we consider the least number of significant figures in the original values, which is three significant figures in this case.

Therefore, the answer is 267 with three significant figures.

26.127 + 3.9 + 0.0324

Adding the numbers:

26.127 + 3.9 + 0.0324 = 30.0594

To express the answer with the correct number of significant figures, we consider the least number of decimal places in the original values, which is one decimal place in this case.

Therefore, the answer is 30.1 with one decimal place.

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The correct answer is option b. 15.77%. The annual discount rate, also known as the discount rate or the rate of return, can be calculated using the present value formula.

Given that a cash flow of £52 million in 5 years' time is currently valued at £25 million, we can use this information to solve for the discount rate.

The present value formula is given by PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

In this case, we have PV = £25 million, CF = £52 million, and n = 5. Substituting these values into the formula, we can solve for r:

£25 million = £52 million / (1 + r)^5.

Dividing both sides by £52 million and taking the fifth root, we have:

(1 + r)^5 = 25/52.

Taking the fifth root of both sides, we get:

1 + r = (25/52)^(1/5).

Subtracting 1 from both sides, we obtain:

r = (25/52)^(1/5) - 1.

Calculating this value, we find that r is approximately 0.1577, or 15.77%. Therefore, the annual discount rate is approximately 15.77%, corresponding to option b.

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Answer: -1

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer:

D is the correct answer or that question

Answer:

340; 15

Step-by-step explanation:

221 is 65% of 221

11.25 is 75% of 15

The value of the other two sides is 30 cm and 50 cm.

Area of the triangle = 1/2 x base x height.

Given that,

Area of a right-angled triangle = 600 cm².

One side of the right angle triangle is 40 cm.

Assume, the base equals Z.

600 = 1/2 x Z x 40

600= Z x 20

Z = 600/20

Z= 30 cm

So, we use the Pythagoras theorem to find the value of the third side.

The Pythagorean Theorem states that "In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides".

The third side equals 40^2 + 30^2

= √1600+ √900

= √2500

Hypotenuse (third side) = 50 cm.

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Answer:

1:0.5

Or

2:1

Step-by-step explanation:

the left side we can find distance by just counting the units without using a formula

Bigger shape LP Length is 5

Smaller shape WZ length is 2.5

Since the shape was originally bigger then this will be a fraction so we divide 2.5 by 5

2.5/5

1/2

Or

0.5

ratio it to make 1:0.5

Hopes this helps please mark brainliest

Answer:

x = 22

Step-by-step explanation:

(88 - x)° = 3x°

-x - 3x = -88

-4x = -88

\(x = \frac{-88}{-4} \\\\ x = 22\)

130060 years to make the compound interest of 6503 rupees.

It is the interest we earned on the interest and the principal compounded for the given number of years.

The formula for the amount earned with compound interest after n years is:

A = P\((1 + r/n)^{nt}\)

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

Principal = 40000

Compound interest earned per year = 5 paisa.

1 year = 5 paisa

Now,

The number of years to earn 6503 rupees.

100 paisa = 1 rupees

5 paisa = 1/20 rupees

This means,

1 year = 1/20 rupees

Multiply 6503 x 20 on both sides.

6503 x 20 years = 6503 x 20 x 1/20 rupees

130060 years = 6503 rupees

Thus,

130060 years to make the compound interest of 6503 rupees.

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Answer:

77$

Step-by-step explanation:

For (a) the 95% CI for the true average porosity of a certain seam is 4.55 to 5.15, for (b) the 98% CI for the true average porosity of another seam is 4.04 to 5.08.

(a) To compute a 95% confidence interval (CI) for the true average porosity of a certain seam, given an average porosity of 4.85 from 23 specimens and a true standard deviation of 0.74, we can use the formula:

CI = sample mean ± (Z * (true standard deviation / √sample size))

The Z-value for a 95% confidence level corresponds to an area of 0.95 in the standard normal distribution. By looking it up in a Z-table or using statistical software, we find that the Z-value is approximately 1.96.

Plugging in the values into the formula, we have:

CI = 4.85 ± (1.96 * (0.74 / √23))

Calculating the expression:

CI = 4.85 ± (1.96 * (0.74 / 4.795))

CI = 4.85 ± (1.96 * 0.153)

CI = 4.85 ± 0.300

The 95% confidence interval for the true average porosity of the certain seam is:

4.55 to 5.15

(b) To compute a 98% confidence interval for the true average porosity of another seam, given 11 specimens with a sample average porosity of 4.56 and a true standard deviation of 0.74, we follow a similar procedure.

The Z-value for a 98% confidence level is approximately 2.33.

CI = 4.56 ± (2.33 * (0.74 / √11))

CI = 4.56 ± (2.33 * (0.74 / 3.316))

CI = 4.56 ± (2.33 * 0.223)

CI = 4.56 ± 0.519

The 98% confidence interval for the true average porosity of the other seam is:

4.04 to 5.08

(c) To determine the necessary sample size for a 95% confidence interval width of 0.39, we rearrange the formula for the CI:

Width of CI = (Z * (true standard deviation / √sample size))

0.39 = (Z * (0.74 / √sample size))

We know the Z-value for a 95% confidence level is 1.96.

0.39 = (1.96 * (0.74 / √sample size))

Solving for √sample size:

√sample size = (1.96 * 0.74) / 0.39

√sample size ≈ 3.68

Sample size ≈ (3.68)^2

Sample size ≈ 13.54

Therefore, a sample size of at least 14 specimens is necessary to achieve a 95% confidence interval width of 0.39.

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Answer:

A. The mean price was about 15,000 higher than the median price.

Step-by-step explanation:

This is an expression, not an equation or a system of equations. It represents a linear function in terms of x, where y is equal to 5x-3.

Approximate value using single-segment trapezoidal rule: π/4

Approximate value using Simpson's 1/3 rule: π/12 + (π√2)/6

To determine the values of the integral ∫[0 to π/2] √cos(x) dx using the single-segment trapezoidal rule and Simpson's 1/3 rule, we need to approximate the integral by dividing the interval [0, π/2] into segments and applying the corresponding formulas.

Let's start with the single-segment trapezoidal rule:

1. Single-Segment Trapezoidal Rule:

In this rule, we approximate the integral by considering a single trapezoid over the interval [a, b]. The formula is as follows:

∫[a to b] f(x) dx ≈ (b - a) * (f(a) + f(b)) / 2

In our case, a = 0 and b = π/2. We have f(x) = √cos(x).

Using the single-segment trapezoidal rule:

∫[0 to π/2] √cos(x) dx ≈ (π/2 - 0) * (√cos(0) + √cos(π/2)) / 2

We know that cos(0) = 1 and cos(π/2) = 0. Plugging these values into the formula:

∫[0 to π/2] √cos(x) dx ≈ (π/2) * (√1 + √0) / 2

Simplifying further:

∫[0 to π/2] √cos(x) dx ≈ (π/2) * (1 + 0) / 2

∫[0 to π/2] √cos(x) dx ≈ π/4

Therefore, the approximate value of the integral using the single-segment trapezoidal rule is π/4.

2. Simpson's 1/3 Rule:

In Simpson's 1/3 rule, we divide the interval [a, b] into multiple segments and approximate the integral using quadratic approximations. The formula is as follows:

∫[a to b] f(x) dx ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + ... + 2f(x(n-2)) + 4f(x(n-1)) + f(xn)]

In our case, a = 0 and b = π/2. We have f(x) = √cos(x).

Using Simpson's 1/3 rule, we need to divide the interval [0, π/2] into an even number of segments. Let's choose 2 segments:

Segment 1: [0, π/4]

Segment 2: [π/4, π/2]

Applying the Simpson's 1/3 rule:

∫[0 to π/2] √cos(x) dx ≈ (π/2 - 0)/6 * [√cos(0) + 4√cos(π/4) + √cos(π/2)]

We know that cos(0) = 1, cos(π/4) = √2/2, and cos(π/2) = 0. Plugging these values into the formula:

∫[0 to π/2] √cos(x) dx ≈ (π/2)/6 * [√1 + 4√(√2/2) + √0]

Simplifying further:

∫[0 to π/2] √cos(x) dx ≈ (π/12) * [1 + 4

√(√2/2) + 0]

∫[0 to π/2] √cos(x) dx ≈ (π/12) * [1 + 2√2]

∫[0 to π/2] √cos(x) dx ≈ π/12 + (π√2)/6

Therefore, the approximate value of the integral using Simpson's 1/3 rule is π/12 + (π√2)/6.

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Complete question is below

Determine the values of the following integrals for the functions by applying the single segment trapezoidal rule as well as Simpson's 1/3 rule:

∫[0 toπ/2] √cosx dx

Answer:

\(34\pi\)

Step-by-step explanation:

Given,

r = 17 mm

→ Circumference =

\(2\pi \: r\)

→ 2x3.14x17

→ 34x3.14 =

\(34\pi\)

↓

c = 106.76 mm