how many rhombuses are in a trapezoid?​

The experiment is a binomial experiment as it had two outcomes which are success and failure.

A binomial experiment is one that has a fixed number of independent trials with only two outcomes. For example, the outcome could be a yes or no response.

A binomial experiment is a statistical test that has the following characteristics: The experiment consists of n trials that are repeated. Each trial has only two possible outcomes. One of these outcomes is referred to as a success, while the other is referred to as a failure. On each trial, the probability of success, denoted by P, is the same.

Tossing a fair coin n times, for example, with success defined as "heads up":

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Answer:

D. 1/11.

Step-by-step explanation:

There are 12 pencils in the case.

Prob( first one is sharpened) = 4/12 = 1/3

Prob(second is sharpened) = 3/11

Prob(both sharpened) = 1/3 * 3/11

= 3/33

= 1/11.

The probability is 1/11 that both pencils will be sharpened which is the correct option(D).

The probability is defined as the possibility of an event being equal to the ratio of the number of outcomes and the total number of outcomes.

Given that,

Bonnie has 4 sharpened and 8 unsharpened pencils

So, there is a total of 12 pencils in the pencil case.

Let, the probability first one is sharpened is P(E₁)

The probability second one is sharpened is P(E₂)

P(E₁) = 4/12 = 1/3

P(E₂) = 3/11

Required probability both sharpened P(E) = P(E₁)×P(E₂)

Required probability both sharpened P(E) = 1/3 × 3/11

Required probability both sharpened P(E) = 3/33

Required probability both sharpened P(E) = 1/11.

Hence, the probability is 1/11 that both pencils will be sharpened.

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Answer:

B=1 C=4 D=6 A=9

Step-by-step explanation:

Its a clock

Answer:

A = 9

B = 1

C = 4

D = 6

Step-by-step explanation:

Answer:

7 trays which is 7 hours

Step-by-step explanation:

In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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The area of the shaded region is  104 cm²

First, we need to know that the area of a circle is calculated using the formula;

A = πr²

Such that the parameters of the formula are;

First, let us find the area of the small circle

Area = 3.14 × 4²

Find the square value and multiply, we have;

Area = 50.24cm²

Area of the large circle = 3.14 × 7²

Find the square value and multiply

Area = 153. 86cm²

Area of the shaded region = Area of large circle - area of small circle

= 153.86 - 50.24

= 104 cm²

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Answer:

  3.00%

Step-by-step explanation:

You want the interest rate that will make an $8000 deposit achieve a value of $9571.31 in 6 years when interest is compounded quarterly.

The compound interest formula can be solved for the interest rate when other values are known:

  A = P(1 +r/n)^(nt) . . . . . . . interest at rate r compounded n times per year

  9571.31 = 8000(1 +r/4)^(4·6) . . . . fill in known values

  (9571.31/8000)^(1/24) = 1 +r/4

  1 +r/4 ≈ 1.0075000

  r ≈ 0.0075000 × 4 ≈ 3.00%

The interest rate is 3.00%.

__

Additional comment

A financial calculator, app, or spreadsheet can find this for you.

Answer:

rectangle

square

Step-by-step explanation:

All angles are right angles is true of all rectangles and squares.

Answer:

The answer is two roads that cross at a stop light. The road cross either way, no matter what they cross. Have a great night!

Answer:

51504

Step-by-step explanation:

Multiplied                          Hope this help

Answer:

c. b = 60 degrees

Step-by-step explanation:

Complementary angles, when you add them together, they give 90°. Therefore,

b + 30° = 90°

Solve for b. Subtract 30 from each side

b + 30° - 30° = 90° - 30°

b = 60°

(a). The alternative to the null hypothesis, H₀ = μ₁= μ₂ = μ₃=μ₄= μ₅ is Hₐ: At least two 1s are unequal. (b). Refuse H₀  If p-value is less than 0.05, the 5% presumed threshold of significance is exceeded.

In mathematics, the middle value—which is determined by dividing the sum of each of the values by the total number of values—is the approximate amount in a collection of numbers. To determine the median of a collection of data, add all of the values and divide the result by the total number of values.

a). The study's goal is to determine if there is discernible variation in the typical quantity of time spent on childcare services across levels of educational achievement.

Null hypothesis, H₀ = μ₁= μ₂ = μ₃=μ₄= μ₅

(The average quantity of time spent on child rearing across educational levels does not change much.)

Alternative hypothesis, Hₐ : At least two μ₁s are unequal.

(The mean number of hours on child care varies significantly depending on the degree of education).

b). Let the level of significance be, ∝ = 0.05

Decision rule: Reject H₀ if p-value ≤ 0.05

The result statistic F has a value of 1.26 and a p-value of 0.2846 based on the provided ANOVA table. Keep in mind that the p-value exceeds the 5% expected level of significance. Therefore, don't reject H₀.

There is insufficient data to draw the conclusion that the average quantity of time spent with child care throughout education level differs significantly.

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The correct answer is 14.

Answer:

true

Step-by-step explanation:

here this might help a little Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

SOLUTION

Given the question in the question tab, the following are the solution steps to answer the question.

STEP 1: Write the given length of triangle ABC

STEP 2: We carry out the second part of the direction in the question.

STEP 3: Use the ratio to multiply the other sides

To solve problems with commission, you can multiply the commission rate by the sales amount.

To calculate commission, you need to know the commission rate and the sales amount. The commission rate is usually a percentage of the sales amount, and it is typically expressed as a decimal. Here's the basic formula for calculating commission:

Commission = Sales amount x Commission rate

For example, if the sales amount is $10,000 and the commission rate is 5%, you would calculate the commission as follows:

Commission = 10,000 x 5 %

Commission = $500

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The annualized return for the entire period is the closest to 10.5%.

To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.

The formula for calculating the geometric mean return is:

Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1

Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.

Given the returns:

Year 1 return: 5% or 0.05

Year 2 return: 12% or 0.12

Year 3 return: -6% or -0.06

First quarter of Year 4 return: 2% or 0.02

Using the formula, we can calculate the annualized return:

Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1

Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1

Annualized Return = 1.121485^(1/3) - 1

Annualized Return ≈ 0.105 or 10.5%

Therefore, the annualized return for the entire period is approximately 10.5%.

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Answer:

1384.5

Step-by-step explanation

Diviseion is just the oppisite of multiplication so you can think to yourself that what times two equals 2769. If you multiply 1384.5 on a calculater you get 2769.

The length of the side of the square in simplest form is 2sqrt(14).

The area of a square is given by the formula \(A = s^2\), where A is the area and s is the length of a side.

We are given that the area of the square is 56 units, so we can set up the equation:

\(56 = s^2\)

To solve for s, we can take the square root of both sides of the equation:

sqrt(56) = \(sqrt(s^2)\)

We can simplify the square root of 56 by factoring it:

sqrt(56) = sqrt(222*7) = 2sqrt(14)

So, we have:

2sqrt(14) = s

This is an improper fraction because the numerator is larger than the denominator. Therefore, the length of the side of the square in simplest form is 2sqrt(14).

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Answer:

$10

Step-by-step explanation:

Investment 1- simple interest

Investment 2- compound interest

The difference:

Answer:

Step-by-step explanation:

Since the problem description tells you the numbers in terms of the calls received on the third evening, let that value be represented by x. Then we have ...

  first evening's calls: x + 9

  second evening's calls: 4x

  third evening's calls: x

  Total calls = 129 = (x +9) +4x +x = 6x +9

  x = (129 -9)/6 = 20

Maria received 29 calls the first evening, 80 calls the second evening, and 20 calls the third evening.

The interquartile range of the given data using R is 13.3

As per the given data,

The midterm scores of an algebra class of 20 students;

69, 84, 52, 93, 81, 74, 89, 85, 88, 63, 87, 64, 67, 72, 74, 55, 82, 91, 68, 77

We have to find the interquartile range using R.

Interquartile Range;-

The interquartile range includes the second and third quartiles or the middle half of your data set (IQR). The range gives the spread of the full data set, whereas the interquartile range gives the range of the middle half of the data set.

Interquartile range = \(Q_{3} -Q_{1}\)

\(Q_{1}\) is the lower quarter

\(Q_{3}\) is the upper quarter

\(Q_{2}\) is the median

Here,

\(Q_{2}\) = 63 +  \($\frac{87}{2}\)

\(Q_{2}\) = \($\frac{150}{2}\)

\(Q_{2}\) = 75

\(Q_{1}\) = 81 + \($\frac{74}{2}\)

\(Q_{1}\) = 77.5

\(Q_{3}\) = 74 + \($\frac{55}{2}\)

\(Q_{3}\) = 64.5

Then,

Interquartile range = \(Q_{3} -Q_{1}\) = - (64 . 5 - 77.5) = 13.3

That is,

The interquartile range for the given data set is 13.3.

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Answer:

697.6

Delta math

Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

Answer:

\(pressure = \frac{force}{area} \\ = \frac{50}{5} \\ = 10 \: N {m}^{ - 2} \)

Answer:

11u + 4v

Step-by-step explanation:

(8u+3u)+(9v-5v)

The child who is 4 feet tall can walk under the tent without bending over, as the height of the tent at that point is greater than 4 feet.

1. Given equation: y = -0.1\(8x^2\) + 1.6x, where y represents the height of the tent and x represents the distance from the center of the tent.

2. We want to find the maximum height of the tent to determine if a 4-foot tall child can walk under it without bending over.

3. To find the maximum height, we need to determine the vertex of the parabolic equation.

4. The vertex of a parabola in the form y = a\(x^2\) + bx + c is given by the formula x = -b / (2a).

5. In our equation, a = -0.18 and b = 1.6. Plugging these values into the formula, we get x = -1.6 / (2 * -0.18).

6. Simplifying the expression, we find x = 4.44.

7. Now, substitute this value back into the equation to find the maximum height: y = -0.18 * (4.4\(4)^2\) + 1.6 * 4.44.

8. Evaluating the expression, we find y ≈ 4.32.

9. The maximum height of the tent is approximately 4.32 feet.

10. Since the child's height is 4 feet, the child can comfortably walk under the tent without bending over, as the height is greater than 4 feet.

11. Therefore, the child who is 4 feet tall can walk under the tent without bending over.

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Answer:

87.5%

Step-by-step explanation:

Took the k12 math test

A savings account starts with $231 25. After 8 years of continuous compounding at an interest rate of 87.5% the account has $1850.

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest = P(1+r/n)^rt

A savings account starts with $231 25. After 8 years of continuous compounding at an interest rate the account has $1850.

Compound Interest = P(1+r/n)^rt

\(\rm 1850 = 231 25 (1 + r/12)^{96}\)

\(\rm 1850 = 231 25 (1 + r/12)^{96}\\\rm 1850 /231 25 = (1 + r/12)^{96}\)

r = 87.5%

Thus, the interest rate percentage is 0.87 rate per year.

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Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

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