If 5 pizzas cost $60, how much will 9 pizzas cost?
10

Answer:

1.5q - 5r = 2

Step-by-step explanation:

All you need to do here is negate each term inside the brackets, which allows you to get rid of the minus sign and the brackets.

-(-1.5q + 5r) = 2

is exactly the same as saying:

-1 × (-1.5q + 5r) = 2

And if we multiply each term in the brackets by negative one, we get:

(1.5q - 5r) = 2

And now the brackets can go, leaving you with:

1.5q - 5r = 2

After solving, the test statistic value of z is -2.65.

In the given question,

Sample Mean x=264.4

Population standard deviation σ=20

sample size (n) = 25

significance level α=0.05

To test  Jean's claim that Jack's driving distance is less than 275 yards

The null and alternative hypothesis are

H(0): μ=275

H(α): μ<275

Test Statistic Z is:

Z = (x-μ)/(σ/√n)

Z = (264.4-275)/(20/√25)

Z = -10.6/(20/5)

Z = -10.6/4

Z = -2.65

Hence, the test statistic value of z is -2.65.

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The right question is:

Jack tells Jean that his average drive of a golf ball is 275 yards. Jean is skeptical, she thinks he has overstated is driving distance and asks for substantiation. So Jack takes a random sample of 25 of his drives. The mean of this sample is 264.4 yards. His driving distance is known to be normally distributed with a population standard deviation of 20 yards. Test Jean's claim that Jack's driving distance is less than 275 yards at a 0.05 significance level. Calculate the test statistic to 2 decimal places.

Answer:

4.2 or 4 1/5 kilometers

Step-by-step explanation:

Of means multiply

So 3.5*6/5 = distance

3.5*6=21

21/5=4.2

Answer:

5.20

Step-by-step explanation:

48 / 9.23 = 5.20043336945

rounded to tenth is 5.20

Hope This Helped

Answer:5.20

Step-by-step explanation:

48 / 9.23 = 5.20

If there will be 6 cheese sections that are 3 1/3 inches long and 5 vegetable sections that are 4 3/8 inches long, the length of the giant sandwich is 41.875 inches.

To find the total length of the sandwich, we need to add the lengths of all the cheese and vegetable sections together.

First, we need to convert the mixed number 3 1/3 to an improper fraction:

3 1/3 = (3 x 3 + 1)/3 = 10/3

Similarly, we need to convert 4 3/8 to an improper fraction:

4 3/8 = (4 x 8 + 3)/8 = 35/8

Now we can calculate the total length of the sandwich by multiplying the length of each section by the number of sections and adding them together:

Total length = (6 x 10/3) + (5 x 35/8)

= 20 + 21.875

= 41.875 inches

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Answer:

x-int = (-40,0)

y-int = (0,15)

Step-by-step explanation:

:D

Answer:

t = 39

Step-by-step explanation:

t - 52 = - 13 ( isolate t by adding 52 to both sides )

t = - 13 + 52 = 39

the integer from the solution set S that makes the equation true is 39

Answer:

\( \sf \: t = 39\)

Step-by-step explanation:

Now we have to,

→ find the required value of t.

The equation is,

→ t - 52 = -13

Then the value of t will be,

→ t - 52 = -13

→ t = -13 + 52

→ [ t = 39 ]

Hence, the value of t is 39.

The mean, Margin of error at 99% confidence level and 99% confidence interval for the given data is 66.75 inches, 2.73 inches and [64.02, 69.48] respectively.

Mean is the arithmetic average of all the observations.

Mean = Sum of all the observation/ Total no.ofobservation

= 66 + 65 + 74 + 66 + 63 + 69 + 63 + 68 / 8

= 534 / 8 = 66.75 inches

Standard error = Standard deviation / √n

= 3 /√8 = 1.06 inches

Margin of error = Z * Standard error

Where Z, is the critical value (corresponding to the desired confidence level)

Using standard normal distribution we get Zvalue roughly around 2.576.

= 2.576 * 1.06 = 2.73 inches

Confidence Interval = ( Mean - Margin of error), (Mean + Margin of error)

= 66.75 - 2.73, 66.75 + 2.73

= [64.02, 69.48]

Therefore, the mean height is 66.75 inches, the margin of error at 99% confidence level is 2.73 inches, and the 99% confidence interval is  [64.02, 69.48].

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The complete question is:

Suppose the mean height in inches of all 9th grade students at one high school estimated. The population standard deviation is 3 inches. The heights of 8 randomly selected students are 66,65, 74, 66, 63, 69,63 and 68.

Find Mean

Margin of error at 99% confidence level

99% confidence interval

Answer:

11

Step-by-step explanation:

hope this helps with the work

As a result, the radian measure of the relevant center angle is around 3.07 radians.

An arc is any smooth curve that connects two locations. The length of an arc is referred to as its arc length. A graph arc is an ordered pair of neighboring vertices in a graph. An arc is defined as any segment (other than the complete curve) of a circle's circumference.

Here,

The formula for the length of an arc in a circle is given by:

Arc Length = (Central Angle / 2π) * Circumference

We know the Arc Length and the Radius of the circle, so we can find the Central Angle as follows:

Arc Length = (Central Angle / 2π) * 2π * Radius

66/5 * π = (Central Angle / 2π) * 2π * 22

66/5 * π = Central Angle * 22

Central Angle = (66/5 * π) / 22

The radian measure of an angle is equal to the ratio of the length of the arc that it intercepts to the radius of the circle. Hence, the radian measure of the central angle is given by:

Central Angle (in radians) = Arc Length / Radius

= (66/5 * π) / 22

So, the radian measure of the corresponding central angle is approximately 3.07 radians.

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Answer:

Combine like terms, although the provided answer is missing a "-" sign in front of the "13."  

Step-by-step explanation:

Combine like terms.  The -7 and -6 can be added to produce -13.

The correct result is -13 - 2x^2 = -2x^2 + 1  [Not _13- 2x² = _2x² + 1

Perhpas the initial equation is written incorrectly(?)

Answer:

Divide each term in 17x > −17 by 17.

17x/17 > −17/17

Cancel the common factor of 17.

x > −17/17

Divide −17 by 17.

x > −1

The result can be shown in multiple forms.

Inequality Form:

x > −1

Interval Notation:

( −1 , ∞ )

Step-by-step explanation:

To obtain a 1.5% oxygen solution in heptane, approximately 39.49 grams of ethanol would be required.

To calculate the amount of ethanol needed to achieve a 1.5% oxygen solution in heptane, we'll use the following steps:

1. Determine the molecular weights of ethanol (C₂H₅OH) and oxygen (O₂). Ethanol has a molecular weight of 46.07 g/mol, while oxygen has a molecular weight of 32.00 g/mol.

2. Calculate the molecular weight of the desired solution. Since the desired solution is 1.5% oxygen, the remaining 98.5% will be heptane.

So, the molecular weight of the solution is

(0.015 × 32.00) + (0.985 × 114.22) = 116.63 g/mol.

3. Set up a proportion to find the mass of ethanol needed. Let x represent the mass of ethanol. We can write the proportion:

(46.07 g/mol) / (116.63 g/mol) = x / (100 g).

4. Solve the proportion for x:

x = (46.07 g/mol) × (100 g) / (116.63 g/mol)

  ≈ 39.49 g.

Therefore, you would need approximately 39.49 grams of ethanol to add to heptane to obtain a solution that is 1.5% oxygen.

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The test score is 91.5.

z-score:

A z-score is the number of standard deviations from the mean value of the reference population.

Here we have to find the test score.

Mean(μ) = 90

Standard deviation(б) = 15

z-score = 0.1

Formula for z-score:

z = X - μ / б

Now putting the values in the equation:

0.1 = X - 90 / 15

1.5 = X - 90

X = 91.5

Therefore the test score is 91.5.

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Answer:

100

Step-by-step explanation:

got it right on edg

\(d = \sqrt{ - 2 - 0) {}^{2} + ( - 2 - 5) {}^{2} } \)

\(d = \sqrt{( - 2) {}^{2} + ( - 7) {}^{2} } \)

\(d = \sqrt{4 + 49} \)

\(d = \sqrt{53} = 7.28 = 7.3\)

Answer:

It is systematic sampling.

Answer:

  b)  2.45

Step-by-step explanation:

The Euclidean distance in 3-space is the root of the sum of the squares of the x-, y-, and z-differences between the points.

For the given points ...

  \(x(3,2,5)=(x_1,y_1,z_1)\quad\textsf{and}\quad y(2,3,3)=(x_2,y_2,z_2)\)

The distance between x and y is ...

  \(d=\sqrt{(x_2-x_1)^2+(y_2=y_1)^2+(z_2-z_1)^2}\\\\d=\sqrt{(2-3)^2+(3-2)^2+(3-5)^2}=\sqrt{1+1+4}\\\\d=\sqrt{6}\approx2.45\)

Answer:

the area of a triangle is 9 because 4.24 times 4.24 equals 17.9776 estimated is 18 divided by 2 is 9 times 4 is 36. Now we divide 36 by 2 so we know what the area of the two trapezoids so we know the top and the bottom which is 18. The area of the square in between the triangles is 4.24 times 6 which is 25.22 estimated is 26. Now we add 26 with 18 which is 34. Now we have to find the area of the rectangle to do this we need to multiply 7.24 and 2 we need to do this so we know the length of the rectangle which is 14.48 estimated is 14. Now that we know the length we multiply it with the height which is 6, 14 times 6 equals  84.

84 is the rectangles area and the area for the trapezoids is 36.

84 plus 18 plus 18 equals 120 squared

Answer:

cotx(1+csc x)/(1-csc x)(1+csc x)

Answer: cotx(1+csc x)/(1-csc x)(1+csc x)

Step-by-step explanation:

The closest to the probability that a person's favorite sport is 28%.

Probability of an event happening is the ratio of the number of required outcome to that of the total number of possible outcomes. while the probability of the event not happening is one minus the event happening.

From the question, the number of required outcome is 18 and the number of possible outcomes is 25.

So the probability of the event that a person's favorite sport is not basketball = 1 - (18/25)

probability of the event that a person's favorite sport is not basketball = (25 - 18)/25 [simply to a single fraction]

probability of the event that a person's favorite sport is not basketball = 7/25

probability of the event that a person's favorite sport is not basketball = 28/100 [convert to percentage]

probability of the event that a person's favorite sport is not basketball = 38%

Therefore, the probability that a person's favorite sport will not be baskitballbis 38%.

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Answer:

1.2x + 0.8y = 2.4

x = 5/3

y = 0.5

(please give brain if this helps or is correct)

Step-by-step explanation:

to solve an equation with 2 missing variable we must simplify then solve the equation

step 1: simplify the equation

ex: 1.2x + 0.8y = 2.4   (0.8y = -1.2x + 2.4)

step 2: divide all numbers by 0.8

ex: 0.8y/0.8 = -1.2x/0.8 + 2.4/0.8   (y = -1.5x + 3)

step 3: subtract 3 from both sides of the equation

ex: y - 3 = -1.5x + 3 - 3   (-3y = -1.5x)

step 4: divide both sides of the equation by -3

ex: -3y/-3 = -1.5x/-3   (y = 0.5)

step 5: plug in 0.5 into y then solve the original equation to find x

ex: 1.2x + 0.8(0.5) = 2.4

step 6: multiply 0.8 by 0.5

ex: 1.2x + 0.8(0.5) = 2.4   (1.2x + 0.4 = 2.4)

step 7: subtract 0.4 from each side of the equation

ex: 1.2x + 0.4 - 0.4 = 2.4 - 0.4   (1.2x = 2.0) or (1.2x = 2)

step 8: divide 1.2 from each side of the equation

ex: 1.2x/1.2 = 2/1.2   (x = 5/3)

step 9: input 5/3 into x and keep 0.5 as y then solve to check your answer

ex: 1.2(5/3) + 0.8(0.5) = 2.4

2 + 0.4 = 2.4

2.4 = 2.4 (if both sides of the equation have the same answer like 2.4 = 2.4 then you answer is true)

Answer:

Step-by-step explanations:

Explanation:

Let's go over the possible choices to see which statements are true and which are false.

To summarize, only choice B is true. The rest are false.

The current share price of Burkhardt Corp. is $65.06.

To determine the current share price of Burkhardt Corp., we can use the dividend discount model (DDM). The DDM calculates the present value of all future dividends to determine the stock's intrinsic value.

The company pays a constant dividend of $14.90 for the next six years and then stops paying dividends forever. We need to calculate the present value of these future dividends.

Using the formula for the present value of a perpetuity,

we find that the present value of the six years of dividends is:

PV =

\(D / (1 + r) + D / (1 + r)^2 + ... + D / (1 + r)^6\)

Where:

PV = Present value of dividends

D = Dividend payment

r = Required return rate

Plugging in the given values, we have:

PV =

\(14.90 / (1 + 0.10) + 14.90 / (1 + 0.10)^2 + ... + 14.90 / (1 + 0.10)^6\)

Calculating this sum, we find the present value of the six years of dividends to be approximately $65.06.

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The appropriate sample regression equation is:

Est(Yield) = β0 + β1Fertilizer + β2South + ε

We have,

The sample regression equation is a mathematical representation of the relationship between the dependent variable (Yield) and the independent variables (Fertilizer and South) in a regression analysis.

In the equation, "Est(Yield)" represents the estimated value of the Yield variable, β0 is the intercept (constant term), β1 and β2 are the coefficients associated with the Fertilizer and South variables, respectively, and ε represents the error term.

The equation allows us to estimate the expected value of the Yield variable based on the values of the independent variables.

By adjusting the values of Fertilizer and South, we can predict how the Yield variable may change. The coefficients (β1 and β2) represent the expected change in the Yield variable for a unit change in the corresponding independent variable, while β0 represents the estimated average value of Yield when both Fertilizer and South are zero.

Therefore,

The appropriate sample regression equation is

Est(Yield) = β0 + β1Fertilizer + β2South + ε, as it accurately reflects the relationship between the variables in the regression analysis.

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Answer: The value of the integer that was removed = 4

Step-by-step explanation:

Sum of n values= Mean x n

Given: n = 7 , Mean = 16

Let x= integer removed.

Sum of remaining 6 integers = 6

\(\Rightarrow\ x+108 = 16\times7\\\\\Rihghtarrow\ x+108= 112\\\\\Rightarrow\ x=112-108\\\\\Rightarrow\ x= 4\)

Hence, the value of the integer that was removed = 4

Answer:

(2,0) IS NOT a solution to the system of equations because at that point the lines do not intersect. At (2,0) there's not even a line

Step-by-step explanation:

Answer:

The equation rewritten in standard from --->

46x = 65.

solution --> x = 65/46

Alternate form --> x = 1 19/46, x = 1.41