Anna ordered a large pizza with 2 toppings. What was the total cost of her pizza? Write an equation and solve it to find the total cost.

The sampling that would most likely introduce a sampling error is (a) Choosing the first 10 events for the sample

From the question, we have the following parameters that can be used in our computation:

The list of options

Also, we have

Tosses = 20

From the list of options, we have

(a) Choosing the first 10 events for the sample

This techique will introduce a sampling error because the selection done by the sampling is not a random selection

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1) Radius: 2√7

2) Center: (10, 5)

3) Circumference: 33.25

Circle formulae:

where (h, k) is the center coordinates, r is radius

Rewrite the equation into standard form:

Identify following of the circle:

In order to find the Circumference of circle:

radius: 2√7

General equation

Now

r²=28

So

Circumference

2 pounds 6 ounces in ounces is equivalent to 38 ounces.

The given measurement is -

2 pounds 6 ounces

In 1 pound, there are 16 ounces.

So, we can write that -

2 pounds 6 ounces = 2 x 16 + 6

2 pounds 6 ounces = 38 ounces

So, 2 pounds 6 ounces in ounces is equivalent to 38 ounces.

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9514 1404 393

Answer:

  $8833

Step-by-step explanation:

The account balance will be given by the formula ...

  A = P(1 +rt)

where P is the amount invested, r is the annual rate, and t is the number of years.

  A =- $7300(1 +0.07·3) = $7300·1.21 = $8833

The ending balance is $8833.

Answer:

x=-1,y=0

Step-by-step explanation:

-10y+9x=-9

10y+5x=-5

14x=-14

x=-1

-10y-9=-9

y=0

Answer:

Step-by-step explanation:

6

Answer:

Step-by-step explanation:

ok so, if billy bob is selling custom t-shirts for $18 per shirt, plus $ 21.50 for shipping so that means altogether it cost $ 39.50.

Sammy is also selling custom t-shirts for $ 22 per shirt, plus $ 5.50 for shipping so that means altogether it cost $ 27.50.

$ 39.50 per one

$ 27.50 per one

so all you have to do is find what the same number of shirts that equals the same price.

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

  use "Help"

Step-by-step explanation:

You need to learn how your software expects to see "infinity." It may need to be spelled out "infinity" or abbreviated "inf" or "infty".

For starters, I suggest you use the "Help" link on the page you show. If that doesn't answer the question, then consult with your instructor.

Answer:

Step-by-step explanation:

Slope of the line:

\(m = \frac{y-y1}{x-x1} \\\)

Given:

slope = -3/4

point (x1,y1) = (2, -1)

Substitute and solve

\(m = \frac{y-y1}{x-x1} \\-\frac{3}{4} = \frac{y-(-1))}{x-2} \\-3(x-2) = 4(y+1)\\-3x + 6 = 4y + 4 \\Transpose\\4y = -3x + 6 - 4\\4y = -3x + 2 \\y = -3/4x + 2/4\\y = -3/4x + 1/2\\OR\\4y +3x - 2 = 0\)

1/2 is the y-intercept

(0,1/2)

Since we have 2 points already, we can then graph the line.

(2, -1) and (0, 1/2)

The surface area of a cell phone screen is 117 cm².

What is unit conversion?

Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement.

We can convert mm² to cm² by dividing the area in mm² by the square of the conversion factor, which is (10 mm / 1 cm) = 100 mm² / cm². Therefore, we have:

11700 mm² / (100 mm² / cm²) = 117 cm²

Rounding to the nearest whole number, we get 117 cm².

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Answer:

A. $52,000

Step-by-step explanation:

The initial amount of the grant is $52,000. The correct option is a.

An annuity is a financial product that provides an individual with a series of regular payments in exchange for an initial investment or a series of payments.

Annuities are commonly used to generate income in retirement, but they can also be used for other purposes, such as covering the future expenses of a dependent or providing a guaranteed income stream for a set period of time.

We can use the formula for the present value of an annuity to find the initial amount of the grant:

PV = A * (\((1 - (1 + r)^{(-n)\)) / r)

Where PV is the present value, A is the annual payment, r is the annual interest rate, and n is the number of periods.

Substituting the given values, we get:

PV = 12,177.17 x ((1 - \((1 + 0.055)^{(-5)\)) / 0.055)

PV ≈ 51,765.57

Rounding to the nearest dollar, the initial amount of the grant is $52,000.

Therefore, the answer is option (a).

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Answer: Yes, your calculation of P(A1 OR A2 OR A3) is correct.

Step-by-step explanation: Your calculation of P(A1 OR A2 OR A3) is correct.

To calculate P(X=2), you can use the formula:

P(X=2) = P(A1 AND A2 AND NOT A3) + P(A1 AND A3 AND NOT A2) + P(A2 AND A3 AND NOT A1)

This is because to have precisely two defects, we need two events A1, A2, and A3 to occur and one not to occur.

You cannot simply sum the intersections P(A1 AND A2) + P(A2 AND A3) + P(A1 AND A3) and subtract P(A1 AND A2 AND A3) to get P(X=2), because this will overcount the cases where all three defects occur together.

Instead, you can use the formula above, and note that:

P(A1 AND A2 AND NOT A3) = P(A1 AND A2) - P(A1 AND A2 AND A3)

P(A1 AND A3 AND NOT A2) = P(A1 AND A3) - P(A1 AND A2 AND A3)

P(A2 AND A3 AND NOT A1) = P(A2 AND A3) - P(A1 AND A2 AND A3)

Substituting these into the formula, we get:

P(X=2) = (P(A1 AND A2) - P(A1 AND A2 AND A3)) + (P(A1 AND A3) - P(A1 AND A2 AND A3)) + (P(A2 AND A3) - P(A1 AND A2 AND A3))

which gives us the correct answer for P(X=2).

Answer

Expected value = 0.8 times per month

Explanation

The mean of the probability distribution is called expected value and it is given as

E(X) = Σxᵢpᵢ

where

xᵢ = each variable = Number of times Danny eats out

pᵢ = probability of each variable

n = number of variables

p = probability of one variable

We need to set up the probability distribution first

xᵢ | pᵢ

2 | 0.25

1 | 0.30

0 | 0.45

E(X)

= (2 × 0.25) + (1 × 0.30) + (0 × 0.45)

= 0.5 + 0.3 + 0

= 0.8

Hope this Helps!!!

The probability that more than 340 out of 400 commercial airline flights will arrive on time, using the normal approximation, is approximately 0.2946 or 29.46%.

To find the probability that more than 340 out of 400 commercial airline flights will arrive on time, we can use the normal approximation to the binomial distribution.

First, let's calculate the mean (μ) and standard deviation (σ) of the binomial distribution using the given information:

Mean (μ) = n × p

= 400 × 0.84

= 336

Standard Deviation (σ) = √(n × p × (1 - p))

= √(400 × 0.84 × 0.16)

= √(53.76)

≈ 7.34

Next, we can use the normal approximation by converting the binomial distribution into a normal distribution with the calculated mean and standard deviation.

Let X be the number of flights that arrive on time out of the 400 flights. We want to find the probability P(X > 340), which is equivalent to finding the probability of Z being greater than (340 - μ) / σ.

Z = (340 - μ) / σ

= (340 - 336) / 7.34

≈ 0.546

To find the probability P(Z > 0.546), we can consult the standard normal distribution table or use a calculator that provides the cumulative distribution function (CDF) of the standard normal distribution.

Using a standard normal distribution table, we find that the probability P(Z > 0.546) is approximately 0.2946.

Therefore, the probability that more than 340 out of 400 commercial airline flights will arrive on time, using the normal approximation, is approximately 0.2946 or 29.46%.

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1000

This is the answer

Step-by-step explanation:

Because it has 0 at the last

and 0 is divisible by 2

The only number that is a multiple of 2 among the given options is B. 1000.

To determine which of the given numbers is a multiple of 2, we need to check if the number is divisible by 2 without leaving a remainder. In other words, if a number is even, it is divisible by 2.

Let's examine each option:

A. 2461: This number is not divisible by 2 since it ends in 1, which makes it an odd number.

B. 1000: This number is divisible by 2 because it ends in 0. Even numbers always end in 0, 2, 4, 6, or 8.

C. 75: This number is not divisible by 2 because it ends in 5, which is an odd number.

D. 847: This number is not divisible by 2 since it ends in 7, which makes it an odd number.

Therefore, the only number that is a multiple of 2 among the given options is B. 1000. It is divisible by 2 and is an even number.

Knowing whether a number is a multiple of 2 is important in various mathematical and computational operations, such as determining divisibility, performing parity checks, and optimizing algorithms that involve even numbers.

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Complete question is;

Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of 8.88 new words (words not used in the poet's other works). The standard deviation of the number of new words is 3. Now a manuscript with 6 new sonnets has come to light, and scholars are debating whether it is the poet's work. The new sonnets contain an average of 12.4 words not used in the poet's known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.

H0 : µ = 8.88 vs Ha : µ > 8.88

Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)

Use 2 decimal places for the z-score and 4 for the p-value.

a.What is z ?

b.The p-value is greater than ?

c. What is the conclusion? A)The sonnets were written by another poet or b) There is not enough evidence to reject the null.

Answer:

a) z = 2.87

b) P-value ≈ 0.0021

c) The sonnets were written by another poet

Step-by-step explanation:

We are given the hypothesis as;

Null hypothesis; H0 : µ = 8.88

Alternative hypothesis; Ha : µ > 8.88

We are also given;

Sample size; n = 6

Population Standard deviation; σ = 3

Sample mean; x¯ = 12.4

a) formula for z - value is;

z = (x¯ - µ)/(σ/√n)

z = (12.4 - 8.88)/(3/√6)

z = 2.87

b) we are given the significance value as α = 0.05.

From online p-value from z-score calculator attached and using z = 2.87; one tail distribution; α = 0.05, we have;

P-value = 0.002052

Approximating to 4 decimal places;

P-value ≈ 0.0021

c) The p-value is less than the significance level, thus we react the null hypothesis and conclude that the sonnets were written by another poet

Based on the scatterplot, the form of the relationshipbetween fire spread rate and wind speed   can be described as a positive correlation.

As wind speed increases,the fire spread rate also tends   to increase.

b. Direction  -

Based on the given scatterplot,the direction of the relationship between fire spread rate and wind speed appears to   be positive.

As the wind speed   increases,the fire spread rate generally tends to increase as well.

c. Strength  -

The scatterplot suggests a   moderate to strong relationship between fire spread rate and wind speed.

The data points   exhibit a somewhat linear pattern, indicating that there is a noticeable association between these variables.

The firespread rate tends to increase consistently as the wind speed increases, suggesting a relatively strong positive correlation between the two factors.

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Full Question:

Wind and Moisture: To understand how weather and landscape affect the spread of wildfires, an experiment was conducted in a low velocity wind tunnel. A fire was started in pine litter, and the researchers measured the fire spread rate for varying wind speeds and pine litter moisture contents.

Data for fires started in pine litter that had a moisture content of 4% are shown in the table below.

Wind Speed (miles/hour) Fire Spread Rate (feet/minute)

0.76                                         0

1.78                                             2

3.34                                                4

5.38                                       6

8.10                                                8

11.75                                     10

16.70                                    12

A scatterplot of these data is shown here  -

1. Based on the scatterplot, how would you describe the following with regard to the relationship between fire spread rate and wind speed?

a. Form:

b. Direction:

c. Strength:

so umm this is the answer

Perimeter = 2(length + width)

P = 2(L+w)

We are told the length is 3 times the width...

L = 3w

64 = 2(3w + w)

64 = 2(4w)

64 = 8w

8 = w

L = 3w = 3(8) = 24 cm

Length is 24 cm

width is 8 cm

Answer:

16

Step-by-step explanation:

8x2

8x = 16

8 * 2 = 16

If "x" is equal 2.

Then 8 multiplied by 2 is equal to 16.

Here is one solution to the puzzle:

Squares: 2, 8, 16

Circles: 5, 7, 14

Total: 26

You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.

An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.

Therefore, the correct answer is as given above

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It is possible because its on an odd number and it's just the middle number: 32

Answer: 3

Step-by-step explanation:

Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

Answer:

28.8 \(in^{3}\)

Step-by-step explanation:

Volume = Length x width x height

V= 8(1.5)(2.4)

V = 28.8

Answer:

Step-by-step explanation:

-3≤ x = graph 6

-3 > x = graph 3

x≥ 3 = graph 2

x ≤ 3 = graph 4

3 > x = graph 1

x > 3 = graph 5

the closed circles means greater/less than or equal to

the open circle means greater/less than

the direction of the arrow tells you if the number is greater than x or less than x

The approximate value of the solution to the equation e' = 120 is e ≈ 120.the value of e by rounding it to a Reasonable number of Decimal places.

The given equation is e' = 120, where e represents some variable.

To solve for e, we can start by dividing both sides of the equation by the coefficient of e, which is 1:

e' / 1 = 120 / 1

Simplifying the right-hand side, we get:

e' = 120

This means that the value of e is equal to 120. So the solution to the equation e' = 120 is e = 120.

To find the approximate value of e, we can use a calculator to evaluate the expression. Since e is a variable, we cannot substitute it directly into the calculator. However, we can estimate the value of e by rounding it to a reasonable number of decimal places.

In this case, since e' is given as 120, we can assume that e is also in the same units. So we can round e to the nearest whole number:

e ≈ 120

Therefore, the approximate value of the solution to the equation e' = 120 is e ≈ 120.

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The value of the expressions are;

a. 4n - 8

b. 64

c. 18

d. 5(n + 3)

Algebraic expressions are described as expressions that consists of terms, constants, coefficients, factors and variables.

They are also identified to consist of mathematical operations which includes;

Using the distributive property, we have;

a. 4(n - 2)

expand the bracket, we get;

4n - 8

b. . 8(2+6)

8(8)

expand the bracket

64

c. 6•8-6•5

48 - 30

Subtract

18

d. 5n+15

factorize the expression

5(n + 3)

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The associated p-value for this left-tailed t-test is 0.0359 or 3.59%.

Now, The p-value for a one-tailed t-test with a sample size of 18 and a test statistic of 1.9,

Hence, we need to look up the t-distribution table.

So, Using a one-tailed test with,

df = n - 1

= 18 - 1 = 17 degrees of freedom

We find that the area to the left of 1.9 under the curve is 0.0359.

This means that there is a 3.59% probability of observing a t-statistic less than or equal to 1.9 if the null hypothesis is true.

Therefore, the associated p-value for this left-tailed t-test is 0.0359 or 3.59%.

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