If Joanne has three hours and 45 minutes before swim practice, she wants to go to the store which will take 220 minutes. She also wants to take her brother to the park for 230 minutes which activity does Joanne have time to do before practice

The interior angles measure 160° and the exterior measure 200°

The sum of the interior angles of a polygon of n sides is:

(n - 2)*180

here n = 18

(18 - 2)*180 = 2880

divide that by the number of sides

2880/18 = 160°

That is the measure of each interior angle, and the exteriors are such that the sum is 360, then:

a + 160 = 360

a = 360 - 160 = 200

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Answer: This is a binomial distribution problem with parameters n = 17 and p = 0.3, where n is the sample size and p is the probability of a defective bulb. We need to find the probability that between 3 and 6 (both inclusive) bulbs from the sample are defective.

Let X be the number of defective bulbs in the sample. Then X has a binomial distribution with parameters n = 17 and p = 0.3, i.e., X ~ B(17, 0.3).

We want to find P(3 ≤ X ≤ 6). Using the binomial probability formula, we have:

P(3 ≤ X ≤ 6) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

= (17 choose 3)(0.3^3)(0.7^14) + (17 choose 4)(0.3^4)(0.7^13) + (17 choose 5)(0.3^5)(0.7^12) + (17 choose 6)(0.3^6)(0.7^11)

≈ 0.1566 (rounded to four decimal places)

Therefore, the probability that between 3 and 6 (both inclusive) bulbs from the sample are defective is approximately 0.1566.

Step-by-step explanation:

The given quadratic equations by solving using inverse operations gives,

(a) x = ±2√2, (b) x = ±3√2 + 5, (c) x = ±4√2, (d) x = ±√90 - 2 and (e) x = 4 ±3√3.

Given are some quadratic equations.

We have to solve this using the inverse operations.

Inverse operations are operations which undo the operation which is done to the equation.

(a) 1/2 x² - 4 = 0

Adding both sides by 4,

1/2 x² = 4

Multiplying both sides by 2,

x² = 8

Taking the square root on both sides,

x = ±√8 = ±2√2

(b) (x - 5)² = 18

Taking the square root on both sides,

x - 5 = ±√18

x - 5 = ±3√2

Adding 5 on both sides,

x = ±3√2 + 5

(c) 2x² + 7 = 71

Subtracting by 7 on both sides,

2x² = 64

Dividing by 2 on both sides,

x² = 32

Taking the square root on both sides,

x = ±4√2

(d) 5 (x + 2)² + 37 = 487

Subtracting by 37 on both sides,

5 (x + 2)² = 450

Dividing by 5 on both sides,

(x + 2)² = 90

Taking the square root on both sides,

x + 2 = ±√90

Subtracting by 2 on both sides,

x = ±√90 - 2

(e) (x - 4)² /3 + 8 = 17

Subtracting by 8 on both sides,

(x - 4)² /3 = 9

Multiplying both sides by 3,

(x - 4)² = 27

Taking the square root on both sides,

x - 4 = ±3√3

Adding both sides by 4,

x = 4 ±3√3

Hence the values are found.

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Punch that Simon needs in fraction is 73[tex]\frac{3}{5}[/tex] quarts.

What is fraction?

Part of a whole is a fraction. The quantity is written as a quotient in mathematics, where the numerator and denominator are divided. Each is an integer in a simple fraction. Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

Here number of bowls punch for party = 8

Each punch bowl holds 9 1/5 quarts of punch .

Then converting into improper fraction then [tex]9\frac{1}{5}=\frac{45+1}{5}=\frac{46}{5}[/tex]

Now total punch Simon needs to fill 8 bowls is,

=> [tex]8\times\frac{46}{5}=\frac{368}{5}[/tex] = 73[tex]\frac{3}{5}[/tex].

Hence Punch that Simon needs in fraction is 73[tex]\frac{3}{5}[/tex] quarts.

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5

Step-by-step explanation:

1000 ml= 1L

Answer: 5 liters

Step-by-step explanation:

         We will use the knowledge of 1 liter being equal to 1,000 mL. Since we are trying to change 5,000 mL into liters, we will use dimensional analysis. We want to end up with liters, so we will put 1 liter over 1,000 mL so the mL units cancel out, since [tex]\frac{mL}{mL}[/tex] = 1.

          [tex]\displaystyle (\frac{5,000\;mL}{1}) (\frac{1 \;liter}{1,000\;mL} )=5\;liters[/tex]

The proportion of scores in a standard Normal Distribution that are greater than 1.25 is closest to a. a is 0.1056.

The proportion of scores in a standard Normal Distribution that are greater than 1.25 is:

[tex]P(Z > 1.25) = 1 - P(Z < 1.25)[/tex]

Using a standard normal distribution table or a calculator.

The area to the left of 1.25 is 0.8944, so:

[tex]P(Z > 1.25) = 1 - P(Z < 1.25) = 1 - 0.8944 = 0.1056[/tex]

The closest answer choice is (a) 0.1056.

The percentage of scores in a normal distribution with a standard deviation larger than 1.25 is:

either a calculator or a normal distribution standard table.

0.8944 is the region to the left of 1.25, so:

The nearest possible response is (a) 0.1056.

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As per the fraction, the lowest score in the examination is 44.

Let's consider the given information. We are told that the highest score and the lowest score in an examination differ by 55 marks. We can represent the highest score as x and the lowest score as y. Therefore, we have:

x - y = 55 ----- equation 1

We are also given that the higher score, which is x, is 9/4 times the lower score, which is y. This can be represented as:

x = (9/4)y

We can use this equation to substitute x in equation 1 and solve for y.

Substituting x in equation 1, we get:

(9/4)y - y = 55

Simplifying the above equation, we get:

(5/4)y = 55

Multiplying both sides by 4/5, we get:

y = 44

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Complete Question:

In an examination, the highest score and the lowest score are different by 55 and the higher one was 9/4 times the lower one. Find the lowest score.

Answer: $31,920.

Step-by-step explanation:

The banker's rule is a method used by lenders to determine the maximum amount of money that a borrower can afford to repay. According to this rule, the maximum amount of money that Lee can afford to borrow is determined by multiplying his annual income by a factor of 0.28.

Using this rule, the amount that Lee can afford to borrow can be calculated as:

Maximum affordable monthly payment = 0.28 x monthly income

Maximum affordable monthly payment = 0.28 x (24700/12)

Maximum affordable monthly payment = 0.28 x 2058.33

Maximum affordable monthly payment = 576.66

Therefore, Lee can afford to make monthly payments of up to $576.66. To calculate the total amount he can borrow, we need to determine the total cost of the loan, including principal and interest.

Assuming a 5-year loan with an interest rate of 4%, the total cost of the loan can be calculated using an online loan calculator or spreadsheet software.

Plugging in the numbers, the total amount that Lee can borrow is approximately $31,920.

It's important to note that this calculation is based on the banker's rule and assumes that Lee has no other debt obligations. Actual loan approval and loan amounts may vary depending on other factors such as credit score, debt-to-income ratio, and other lender-specific requirements.

Answer:

21. x=70

22. x=15

*Not sure what the red arc is, but I found the value of x for both 21 and 22*

Step-by-step explanation:

Let's start with 21 first.

Line AB is a straight line, meaning the arc length of AB is 180 degrees.  So,

(2x-30)+x=180

let's solve:

3x-30=180

3x=210

x=70

I'm not sure what the red arc is, so I can't help you there.

Next, 22.

All the arcs in a complete circle need to add up to 360 degrees, so:

4x+6x+7x+7x=360

simplify first:

24x=360

let's solve:

x=15

Again, not sure where or what the red arc is, so can't help again.  I hope that the x values help.

This prompt is about rounding figures up. We can conclud t that where the above are given, both lists are not in the same order.

  To round up the first order to the second decimal place we have:

Rounding the second batch of cheese and ordering them from the least to greatst, we have:

Hence, we can submit that they are both not in the same eorder.

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Answer:

C. 39 ft²

Step-by-step explanation:

Area of the outer rectangle which includes the white triangle

= length x width

= 5 x 9

= 45  ft²

Area of the white triangle

= 1/2 x base x height

= 1/2 x 4 x 3

= 6 ft²

Area of shaded region
= Area of rectangle - Area of triangle

= 45 - 6

= 39 ft²

The number line which correctly shows the solution to the given inequality as required is as attached.

It follows from the task content that the number line which correctly shows the solution to the given inequality is to be determined.

First, we must solve the inequality as follows;

n + 3 > 4

n > 4 - 3

n > 1.e

Ultimately, the number line which represents the solution of the inequality as required is as in the attached image.

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Answer:

im sorry i couldnt help myself

Step-by-step explanation:

The reason is 2) Vertical Angles Theorem.

Given is figure in which two triangles are joined,

We need to complete the proof of ΔBCA ≅ ΔDCE,

So,

BC = DC, AC = EC [given]

∠BCA = ∠DCE [Vertical Angles Theorem]

ΔBCA ≅ ΔDCE by SAS rule,

Hence, the reason is 2) Vertical Angles Theorem.

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Since the gravitational force is directly proportional to the mass, we can see that Satellite D has the greatest mass and therefore the greatest gravitational force with Earth. Therefore, the correct option is D.

To determine which satellite has the greatest gravitational force with Earth, we need to use the formula for gravitational force, which is:

force = (G x m1 x m2) / r^2

where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the centers of the objects.

Since the mass of Earth is much greater than any of the satellites, we can assume that the distance between Earth and each satellite is the same. Therefore, we can compare the gravitational force of each satellite with Earth by calculating:

force = (G x Earth's mass x satellite's mass) / distance^2

Using this formula and plugging in the given values, we get:

For Satellite A: force = (G x Earth's mass x 375 kg) / (320 km)^2

For Satellite B: force = (G x Earth's mass x 250 kg) / (320 km)^2

For Satellite C: force = (G x Earth's mass x 50 kg) / (320 km)^2

For Satellite D: force = (G x Earth's mass x 500 kg) / (320 km)^2

Therefore, the correct option is D.

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Answer:

k is usually called the spring constant

Step-by-step explanation:

sorry if its not right, that is just what i have learned.

have a good day !!!

Answer: I'm not really sure what you're trying to find but 250in³

Step-by-step explanation:

10in x 5in x 5in = 250 in³

I'm confused what's being asked here...but if you're looking for someone to check it then:

The line of best fit is drawn correctly; there are about the same amount of dots on the top and bottom of the line.

And the correlation is positive

The bearing of A from B is 253 degrees

The bearing of B from A is 073 degrees

Bearings are typically measured in a counterclockwise direction from north.

The reference direction for bearings is north, and then the angle is measured in a counterclockwise direction relative to north.

Using this method, we have that

The bearing of A from B is 253 degrees

The bearing of B from A is 073 degrees

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Answer:

32m

Step-by-step explanation:

area= L×B

L= 10m ×2 =20m

B= 6m×2 =12m

Area= 20m + 12m = 32m

Answer: angle

Step-by-step explanation:

One way to predict occurrences of a disease for a future year based on previous years' data is to use exponential modeling.

Specifically, the formula for exponential growth or decay can be used to project the number of cases for a future time period based on the growth or decline rate observed in the past.

For example, let's say that we have data on the number of cases of a certain disease for the past 10 years. We can use this data to fit an exponential model that describes the growth or decline rate of the disease over time.

Once we have this model, we can use it to predict the number of cases for a future year. For instance, if the model predicts that the disease will grow at a rate of 5% per year, we can use this rate to estimate the number of cases for the next year by multiplying the current number of cases by 1.05. By doing this, we can forecast the occurrence of the disease for the next year based on the previous years' data.

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The statement "If the size of a sample is at least 30, then you can use a z-scores to determine the probability that a sample mean falls in a given interval of the sampling distribution." is true because  when the sample size is at least 30, the Central Limit Theorem applies and the sampling distribution of the sample mean can be approximated by a normal distribution.

If the size of a sample is at least 30, the Central Limit Theorem (CLT) applies, which states that the distribution of sample means is approximately normal, regardless of the underlying distribution of the population, as long as the sample size is sufficiently large.

When the sample size is at least 30, the sampling distribution of the sample mean can be approximated by a normal distribution, and z-scores can be used to calculate probabilities of sample means falling in a given interval.

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The measure of central tendency that will change the most in the data set is: Mean

The mean is defined as the average value of a distribution which is obtained by dividing the sum of the values by the frequency.

The median is defined as the number at the middle of the distribution. It is obtained by arranging the values in ascending order and picking the mid value.

The mode is defined as the value which has the most number of occurrences in the distribution.

The set of numbers can be arranged as:

25, 29, 32, 32, 52

The mean = 34

Mode = 32

Median = 32

If we replace 25 with 80, we will have:

Mean = 45

Mode = 32

Median = 32

Thus, the mean will change the most

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The width of the rectangular box is 12 inches.

Remember that the volume of a box of length L, width W, and height H is:

V = H*W*L

Here the volume is 3,840 cubic inches. The length of the box is 20 inches and the height of the box is 16 inches. Replacing that in the formula we will get:

3840 = 20*16*W

Solving that for W we will get:

3840/(20*16) = W

12 = W

The width is 12 inches.

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Answer: 14.325 years old

Step-by-step explanation:

Dylan is 11 3/4 you add 1 3/8 to get camdens age of 13 1/8 add 1 1/5 to get janes age of 14.325 or as a fraction is 573/40

Toshi's actual results were significantly different from his prediction. Specifically, his actual success rate of 80% was lower than his predicted success rate of 95%.

Probability is a way to gauge how likely or unlikely something is to happen. It is denoted by a number between 0 and 1, with 1 denoting a certain event and 0 denoting an impossibility.

Toshi's prediction was that he would perform the card trick successfully 95% of the time. This means that out of 100 card tricks, he expects to perform the trick successfully in 95 of them. We can represent this mathematically by:

P(success) = 0.95

This is the probability of success for one card trick.

Toshi actually performed the card trick 30 times and was successful in 24 of them. We can represent this as:

P(actual success) = 24/30 = 0.8

This is the proportion of successful card tricks that Toshi actually performed.

To compare Toshi's prediction with his actual results, we can use probability theory. The probability of getting exactly x successes in n trials when the probability of success is p is given by the binomial distribution formula:

P(x) = (n choose x) * pˣ * [tex](1-p)^(n-x)[/tex]

In this case, we can use the formula to calculate the probability of getting exactly 24 successes in 30 trials if Toshi's prediction of 95% success rate is accurate. This is given by:

P(24 successes) = (30 choose 24) * 0.95²⁴ * 0.05⁶ ≈ 0.0045

This means that if Toshi's prediction is accurate, the probability of getting exactly 24 successes in 30 trials is very low (less than 0.5%).

Therefore, we can conclude that Toshi's actual results were significantly different from his prediction. Specifically, his actual success rate of 80% was lower than his predicted success rate of 95%.

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Elevation on ramp B is more steep than ramp A.

"Elevation" typically refers to the height of a location above sea level. It is often used in geography and topography to describe the height of a mountain or the altitude of a city or other location. Elevation is usually measured in feet or meters, and it can have a significant impact on climate, weather patterns, and other environmental factors.

"Steep" can have a few different meanings depending on the context. It can refer to a steep slope or incline, such as a steep hill or mountain. It can also mean a high price or cost, as in "the price is too steep for me." Additionally, "steep" can refer to the act of soaking something in hot water in order to extract flavor, as in steeping a tea bag in hot water.

For RampA:

tanα=36/30

tanα=1.2

For Ramp B:

tanβ=36/20

tanβ=1.8

Therefore for Ramp B angle is more than Ramp A and incase of tangent function value of angle increases with the angle measures.

So β>α.

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The second staff member receives ₦40,000.

In mathematics, a ratio is a comparison of two or more quantities of the same kind or unit. It is expressed as the quotient or fraction of one quantity to another. Ratios are used to compare and express the relationship between different quantities, such as distance, time, weight, or money.

To solve this problem, we need to first determine the total ratio of the ages of the three staff, which is 18 + 20 + 22 = 60.

Next, we need to calculate the share of each staff member by multiplying their age ratio with the total amount of money collected:

The first staff member's share = (18/60) x ₦120,000 = ₦36,000

The second staff member's share = (20/60) x ₦120,000 = ₦40,000

The third staff member's share = (22/60) x ₦120,000 = ₦44,000

Therefore, the second staff member receives ₦40,000.

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Using the formula for the perimeter of a triangle, x + (2x+5) + (2x-4) = 73. Solving for x, so the first side is 18 inches, the second side is 41 inches, and the third side is 32 inches.

Perimeter is the total distance around the outside of a closed two-dimensional shape, such as a polygon or a circle. It is found by adding the lengths of all the sides of the shape.

An equation is a mathematical statement that shows the equality of two expressions or values, often with one or more variables that can be solved for.

According to the given information :

Let the first side of the triangle be x.

Then, the second side is 2x + 5, and the third side is 2x - 4, according to the given conditions.

The perimeter of the triangle is the sum of the lengths of its sides, so we can write:

x + (2x + 5) + (2x - 4) = 73

Simplifying the equation:

5x + 1 = 73

5x = 72

x = 14.4

Therefore, the first side of the triangle is 14.4 inches, the second side is 2(14.4) + 5 = 33.8 inches, and the third side is 2(14.4) - 4 = 24.8 inches.

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