Mary bought 5 pairs of gloves and 2 hats for $95. Mary received a text from her friend Joanna ask her to buy 4 pairs of gloves and a hat. Mary told Joanna that the cost was $70. How much does each pair of gloves cost? How much does the hat cost?

Answer:

This is gebber gabber but yes

Step-by-step explanation:

Answer:

112°

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°

Let x = unknown angle

⇒ 34 + 34 + x = 180

⇒ 68 + x = 180

⇒ x = 180 - 68

⇒ x = 112°

Other angle be y

Apply angle sum property

\(\\ \rm\hookrightarrow 34+34+y=180\)

\(\\ \rm\hookrightarrow 2(34)+y=180\)

\(\\ \rm\hookrightarrow 68+y=180\)

\(\\ \rm\hookrightarrow y=112\)

Answer:

7 percent

Step-by-step explanation:

The probability that 6 of the selected adults get all their news online will be 0.07.

Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success.

If X~B(n, p), then the probability is given as

\(\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}\)

A new report revealed that 45% of grown-ups in the US presently get all their news on the web. An irregular example of 8 grown-ups in the US will be chosen.

The probability that 6 of the selected adults get all their news online will be given as,

P(x = 6) = ⁸C₆ × (0.45)⁶ × (1 - 0.45)²

Simplify the expression, then we have

P(x = 6) = ⁸C₆ × (0.45)⁶ × (1 - 0.45)²

P(x = 6) = 28 × (0.45)⁶ × (0.55)²

P(x = 6) = 0.07

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Answer:

13.08

Step-by-step explanation:

Step 1: find the sum of all numbers

= 104.65

Step 2: divide by how many values there are

=8

Step 3: solve

104.65 ÷ 8 = 13.08125....

Step 4: round to the hundredths place

= about 13.08

If I were to hypothesize that communication students will have a higher average score on the oral communication measures,

I would have a research hypothesis. A research hypothesis is a statement that is used to explain a relationship between two or more variables,

in this case, the relationship between being a communication student and having a higher score on oral communication measures.

The hypothesis can then be tested through research and analysis of data to determine if there is a significant correlation between the two variables. In order to fully test this hypothesis,

it would be necessary to gather data on both communication students and non-communication students and compare their scores on oral communication measures.

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Answer:

See Below

Step-by-step explanation:

The left side of the equation HAS TO BE GREATER THAN 3

So we take each ordered pair (x,y), plug it into the expression of left side of inequality and see which one is GREATER THAN 3. That's our answer.

A:

0.5x - 2y

0.5(-2) -2(0.5) = -2

NO

B:

0.5x - 2y

0.5(2) -2(1) = -1

NO

C:

0.5x -2y

0.5(2) -2(-1) = 3

NO

D:

0.5x -2y

0.5(-2) -2(-0.5) = 0

NO

None of them are solutions. C would have been a solution if the inequality had an "EQUAL SIGN" -- but it doesn't. Maybe the question is wrong, but if the question is right, then there is no correct answer.

The answer is 7/24 and 8/17

Odd Box contain 1 black Marble and 3 White Marbles = 1B, 3W

Even Box contain 2 black marbles and 4 white marbles = 2B, 4W

(a) We have to find that probability that the marble is black

Pr (Black) = Pr(chosing Odd box) \(\times\) Pr( choosing black ball) + Pr( Choosing Even Box) \(\times\)Pr( choosing Black ball)

= 1/2 \(\times\) 1/4 + 1/2\(\times\) 2/6 = 7/24

(B) Now we have that marble is white, probability that it came from even box.

Pr (Even Box l WHite) = Pr ( Even box and WHite) / Pr( WHite)

so, the probability that the ball come is white is Pr (white) = Pr(chosing Odd box)\(\times\) Pr( choosing white ball) + Pr( Choosing Even Box) \(\times\)Pr( choosing white ball) = 1/2\(\times\)3/4 + 1/2 \(\times\) 4/6 = 17/24

Pr ( Even box and white) = 1/2 \(\times\)4/6 = 1/3

so Pr (Even Box l WHite) = (1/3)/ (17/24) = 8/17

What is probability?

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The solution of the inequality is x >-2.1. The number line graph is attached with the answer.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

The given inequality is -4x > 8.4. The inequality will be solved as,

-4x > 8.4.

x > 8.4 / -4

x > -2.1

The value of x is greater than -2.1 and it is plotted on the line graph attached with the answer below.

Therefore, the solution to the inequality is x >-2.1. The number line graph is attached with the answer.

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Answer:

g = \(\frac{4}{3}\)

Step-by-step explanation:

4 - \(\frac{1}{12}\) g - 2 = \(\frac{3}{2}\) g + 1 - \(\frac{5}{6}\) g

multiply through by 12 ( the LCM of 12, 2 and 6 ) to clear the fractions

48 - g - 24 = 18g + 12 - 10g

- g + 24 = 8g + 12 ( subtract 8g from both sides )

- 9g + 24 = 12 ( subtract 24 from both sides )

- 9g = - 12 ( divide both sides by - 9 )

g = \(\frac{-12}{-9}\) = \(\frac{12}{9}\) = \(\frac{4}{3}\)

Answer: use a cucumber

Step-by-step explanation:

Answer:

45.

Step-by-step explanation:

Find the LCM (Least Common Multiple):

Lets list out the multiples of 5 and 9 (Denominators)

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

45 is the least common multiple.

Multiply the denominator to get to 45, same applies for numerator:

\( \frac{3 \times 9}{5 \times 9} = \frac{27}{45} \)

\( \frac{4 \times 5}{9 \times 5} = \frac{20}{45} \)

45 is the least common multiple that you can use for your denominators.

Answer:

I WAS BORN TO FLEX DIMONDS ON MY NECK I LIKE MORNING CHECKS I LIKE MORING S**

Step-by-step explanation:

The probability that a pack of 16 baseballs would have an average weight of more than 147 grams, given our assumptions, is approximately 1 - 0.0082 = 0.9918, or 99.18%.

What is probability?

Probability is a way to gauge how likely or unlikely something is to happen. It measures the degree of ambiguity surrounding the result of a single event or a series of related occurrences. Typically, probability is stated as a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certain or guaranteed event.

To determine the probability that a pack of 16 baseballs would have an average weight of more than 147 grams, we need information about the distribution of baseball weights. Without specific information about the distribution, it is challenging to provide an exact probability.

However, assuming the weights of baseballs follow a normal distribution with a known mean and standard deviation, we can provide a general guideline for calculating the probability using the Central Limit Theorem.

Let's assume the mean weight of a baseball is μ grams, and the standard deviation is σ grams. Since we don't have the exact values, we'll need to make some assumptions. Let's say the mean weight of a baseball is 150 grams, and the standard deviation is 5 grams.

The average weight of the 16 baseballs follows a normal distribution with a mean equal to the population mean (μ) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (σ/\(\sqrt[1]{n}\)).

In this case, the mean is 150 grams, and the standard deviation is 5 grams divided by the square root of 16 (since we have 16 baseballs). The square root of 16 is 4.

The standard deviation of the average weight is 5 grams / 4 = 1.25 grams.

Now, we want to calculate the probability that the average weight is more than 147 grams. To do this, we can convert it into a standard normal distribution by subtracting the mean (150 grams) and dividing by the standard deviation (1.25 grams).

The z-score for 147 grams is (147 - 150) / 1.25 = -2.4.

Using a standard normal distribution table or calculator, we can find the probability associated with a z-score of -2.4. Let's assume it is P(Z < -2.4) = 0.0082.

However, since we are interested in the probability that the average weight is more than 147 grams, we need to consider the area to the right of the z-score (-2.4). This is equal to 1 - P(Z < -2.4).

Therefore, the probability that a pack of 16 baseballs would have an average weight of more than 147 grams, given our assumptions, is approximately 1 - 0.0082 = 0.9918, or 99.18%.

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To find out how the amount of fabric required to make the cylindrical bag compares to the amount of fabric required to make the square-based-prism bag, we can use the formula for the surface area of each shape.

The amount of fabric required to make a bag is proportional to its surface area. Therefore, we can compare the surface areas to determine which bag will require more fabric. Let's assume the dimensions of each bag are as follows:

Cylindrical bag: height = 10 inches,

radius = 5 inches
Square-based-prism bag: height = 10 inches,

base length = 6 inches,

base width = 6 inches

Now, let's find the surface areas of each bag:

Surface area of cylindrical bag = 2πrh + 2πr²
= 2π(10)(5) + 2π(5)²
= 100π + 50π
= 150π square inches

Surface area of square-based-prism bag = 2lw + 2lh + 2wh
= 2(6)(6) + 2(6)(10) + 2(6)(10)
= 72 + 120 + 120
= 312 square inches

Therefore, the square-based-prism bag requires more fabric than the cylindrical bag.

Next, let's find out how much each bag will hold. We can use the formula for the volume of each shape to find out. The volume of each bag will give us an idea of how much they can hold.

Volume of cylindrical bag = πr²h
= π(5)²(10)
= 250π cubic inches

Volume of square-based-prism bag = lwh
= 6(6)(10)
= 360 cubic inches

Therefore, the square-based-prism bag can hold more than the cylindrical bag.

Based on this information, the cpm sports company should make the square-based-prism bag if they want to maximize the amount of items each bag can hold.

However, if the company is more concerned with using less fabric to make each bag, then they should make the cylindrical bag. The decision ultimately depends on the company's priorities and goals.

The amount of fabric required to make the cylindrical bag is less than the square-based-prism bag. However, the square-based-prism bag can hold more than the cylindrical bag.

The cpm sports company should make the square-based-prism bag if they want to maximize the amount of items each bag can hold.

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The formula for calculating the height is h = 3V/πr²

The formula given is the formula for calculating the volume of a cone

V = 1/3πr²h

where

h is the height

r is the radius

Make h the subject of the formula

Cross multiply

3V = πr²h

Divide both sides by πr²

3V/πr² = πr²h/πr²

h = 3V/πr²

Hence the formula for calculating the height is h = 3V/πr²

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No, the plan will not work because tan B = 8/5; B ≈ 58°

There are three primary trigonometric ratios for a right angle triangle and they are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

To get angle B, we will make use of trigonometric ratios to get:

tan B = 8/5

tan B = 1.6

B = tan⁻¹1.6

B = 58°

From the ramp, we can see that the angle is greater than what Gael wants to build and as such we can say it will not work.

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Answer: C. 78%

Step-by-step explanation:

simply divide 7 by 9 and move the decimal two places to the right and round!

The number of frequent flyer program members in newspaper quintile V.

The information related to that specific quintile.
Unfortunately, you didn't provide the required data to calculate the number of frequent flyer program members in newspaper quintile V.

To understand what the given data represents.

Since the question is asking for the number of frequent flyer program members in newspaper quintile V.

The data is provided, I will guide you through a step-by-step process to find the answer and ensure that it is reported in the (000) format, as you requested.

Please provide the relevant data, and I'll be more than happy to help you calculate the answer.

Once the information is given, I will walk you through a step-by-step procedure to identify the solution and make sure it is presented in the (000) format, as you asked, when I have the data.

Comprehend what the provided data means.

Given that the number of frequent flyers programmed members in newspaper quintile V is the subject of the issue.

Information pertinent to that particular percentile.

Unfortunately, you didn't supply the information needed to determine how many people in newspaper quintile V are members of frequent flyer programmed.

The pertinent information, and I'll be pleased to assist you in coming up with the solution.

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Giovanna deposited $1600 into two accounts, half in First Oak and half in West United.

Interest earned in First Oak account after 5 years at 6% simple interest:

= 0.06 x $800 x 5

= $240

Interest earned in West United account after 5 years at 5% compounded annually:

= $800 x (1 + 0.05)^5 - $800

= $800 x 1.27628 - $800

= $221.02

Total interest earned in both accounts:

= $240 + $221.02

= $461.02

Therefore, Giovanna will have earned $461.02 in interest from both accounts at the end of 5 years.

The position vector of the particle is:r(t) = 1/6 t^3 + e t j + e-t k + 2k t + 1

To find the position vector of the particle, we need to integrate the given acceleration function twice. First, we integrate a(t) with respect to time t to get the velocity function v(t):

v(t) = ∫ a(t) dt = ∫ ti+et j+e-t k dt = 1/2 t^2 + e t j - e-t k + C1

Using the given initial velocity v(0) = k, we can solve for the constant C1:

v(0) = 1/2 (0)^2 + e (0) j - e-(0) k + C1 = k

C1 = k + k = 2k

Now we integrate v(t) with respect to time t again to get the position function r(t):

r(t) = ∫ v(t) dt = ∫ (1/2 t^2 + e t j - e-t k + C1) dt

= 1/6 t^3 + e t j + e-t k + C1 t + C2

Using the given initial position r(0) = 1 + k, we can solve for the constant C2:

r(0) = 1/6 (0)^3 + e (0) j + e-(0) k + C1 (0) + C2 = 1 + k

C2 = 1

Therefore, the position vector of the particle is:

r(t) = 1/6 t^3 + e t j + e-t k + 2k t + 1

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When the person is 42 feet away from the jetski, the sound intensity is approximately 87.1 decibels.

To answer this question, we need to use the inverse square law of sound intensity, which states that the intensity of a sound decreases with the square of the distance from the source.
1. Identify the initial distance (D1) and initial decibel level (L1): In this case, D1 = 12 feet and L1 = 100 decibels.
2. Identify the final distance (D2): In this case, D2 = 42 feet.
3. Calculate the ratio of the initial distance to the final distance: \(R = (D1 / D2)^2\)

\(= (12 / 42)^2\)

\(= (2 / 7)^2\)

\(= 4 / 49.\)
4. Convert the initial decibel level to intensity (I1): The intensity of a sound is proportional to \(10^(L1/10).\)

\(So, I1 = 10^(100/10) = 10^10.\)
5. Calculate the final intensity (I2) using the ratio of distances: I2 = I1 * R

\(= 10^10 * (4 / 49).\)
6. Convert the final intensity back to decibels (L2): L2 = 10 * log10(I2) = \(10 * log10(10^10 * 4 / 49).\)
7. Calculate the final decibel level: L2 ≈ 10 * (10 - log10(49/4)) = 10 * (10 - 1.29)

= 87.1 decibels.

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Answer:

2. 1

Step-by-step explanation:

the point at which the y axis is passed through is (0,1)

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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The expression n times d times q times in terms of number of nickels is n²(36-3n)/4 .

In the question ,

it is given that ,

there are n nickels , d dimes , q quarters .

Also given that there is  twice as many nickels as dimes ,

that means , n = 2d

So , d = n/2

also that total number of coins = 18 ,

So , n + d + q = 18

n + n/2 + q = 18

q = 18 - 3n/2

we need to find ,  n times d times q in terms of the number of nickels.

that means

= n × d × q

= n × n/2 × 18 - 3n/2

= n × n/2 × (36 - 3n)/2

= (n × n×(36 - 3n))/2×2

= n²(36-3n)/4

Therefore , The expression n times d times q times in terms of number of nickels is n²(36-3n)/4 .

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Answer:

315 chairs

Step-by-step explanation:

This question can instill your quick calculation skills which can be very useful when it comes to event planning.

1 row of chairs = 15 chairs

21 rows of chairs = 15 x 21

= 315 chairs.

Answer:

B is the correct answer

Step-by-step explanation:

Answer:

?????

Step-by-step explanation:

Answer:

x = 61°

Step-by-step explanation:

From the image, we can see that we have an isosceles triangle.

We know that the other 2 angles will be equivalent to each other.

We also know that the sum of angles in a triangle adds up to 180°.

Step 1: Set up equation

58 + x + x = 180

Step 2: Solve

58 + 2x = 180

2x = 122

x = 61°