What prime factor is common to 35, 84 and 21? ​

Answer:

38

Step-by-step explanation:

(4² - (4 - 2)²) × 3.14 = 37.68 ≈ 38

The amount of outfits that can be created through given number of shirts, skirts and jackets is 90.

The amount of different outfits that can be created from the provided number of clothings will be calculated using the multiplication operation. Thus the expression that will form is -

Number of different outfits = number of shirts × number of skirts × number of jackets

Keeping the values in formula to find the number of different outfits.

The possible combination of outfits = 5 × 6 × 3

Performing multiplication on Right Hand Side of the equation

Number of possible combination of outfits = 90

Thus, 90 outfits can be formed.

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For a boxplot of number of aces olga served during each tennis match, the number of aces during about 75 percent of tennis matches is equal to 10.

A boxplot is a representative way of displaying the distribution of data based on a five number summary (minimum, first quartile [Q₁], median, third quartile [Q₃] and maximum). It includes the

We have a boxplot represents the number of aces olga served during each tennis match as present in above figure. It is a horizontal boxplot is plotted along a horizontal. See the above boxplot carefully. We have to determine the number of aces during about 75% of tennis matches. From the graph, The minimum Value= 0

Maximum value = 14

First quartile, Q₁= 3

Second quartile or median, Q₂ = 6

Third quartile, Q₃ = 10

The value less than 75% lies in region below Q₃. So, the value is equals to 10. Hence, required value is 10.

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Complete question:

the above figure complete the question. e following box plot shows the number of aces olga served during each tennis match. 0 2 4 6 8 10 12 14 16 18 20, and a horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1. a left whisker extends from 0 to 3. the box extends from 3 to 10 and is divided into 2 parts by a vertical line segment at 6. the right whisker extends from 10 to 14. all values estimated.f olga served fewer than what number of aces during about 75\uu, percent of tennis matches?

Answer: D. x ≈ 2.5

Step-by-step explanation: I circled the intersection in green in this attachment I provided.

As you can see, it's near 2.5 which is correct.

I really hope this is correct. I answered this one with confidence. Good luck on your test btw.

Answer:

D. x ≈ 2.5

Step-by-step explanation:

The answer to the given that is 7x 5 2x question is  70

Explanation: In this case the answer is calculated by performing the operations in the order they are written. First, we multiply 7 and 5, which gives us 35. Then, we multiply 2 and x, which gives us 2x. Finally, we add 35 and 2x, resulting in 70

Multiplication is an arithmetic operation that involves multiplying two numbers together to produce a third number. It is usually represented by the multiplication sign (×) and is one of the four basic operations in mathematics. Hence the correct answer is 70.

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Answer:

19.25(miles?)

Step-by-step explanation:

Assuming 3.5 is the x value or input of the function

3.5 x 5.5 = 19.25

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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The law of cosines and the law of sines are allowed to find the third side of a triangle.

The law of sines is the simpler one which states that the ratio between the length of a side and its opposite angle is the same for all sides of a triangle.

The formula for the law of sines:

\(\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}\)

Here, A, B, and C are angles, and the lengths of the sides are a, b, and c.

The law of cosines is slightly longer and looks similar to the Pythagorean Theorem.

The formula for the law of cosines:

\(c^{2} =a^{2} +b^{2} -2abcos(C)\)

Here, angle C is the third angle opposite to the third side.

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Answer:

FV= $4,786.01

Step-by-step explanation:

Giving the following information:

Initial deposit (FV)= $4,300

Number of periods (n)= 2 semesters

First, we need to calculate the semi-annual interest rate:

Semi-annual interest rate= 0.11/2= 0.055

Now, to determine the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 4,300*(1.055^2)

FV= $4,786.01

The coordinate system with x-coordinates between -180 and 180 is likely to be the geographic coordinate system, specifically longitude values. This system represents positions on the Earth's surface using two angles: longitude (x-coordinates) and latitude (y-coordinates).

Longitude values range from -180 degrees (180 degrees West) to 180 degrees (180 degrees East) along the Earth's equator. Latitude values, on the other hand, range from -90 degrees (90 degrees South) to 90 degrees (90 degrees North). The origin (0, 0) of this coordinate system is the intersection of the Prime Meridian (Greenwich Meridian) and the Equator.

The units for these coordinates are typically expressed in decimal degrees (DD). These values can be converted into other units such as degrees-minutes-seconds (DMS) or radians, depending on the application or preference. When working with geographic coordinate systems, it is essential to consider the Earth's curvature and potential distortions when calculating distances or areas.

In summary, if a data set has x-coordinates between -180 and 180, the coordinate system is most likely the geographic coordinate system, representing longitude values. The coordinates are typically expressed in decimal degrees, and their positions relate to the Earth's surface.

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Answer:

C.

Step-by-step explanation:

All living things are made of one or more cells.

Can I get brainliest pls?

The probability that Jeff has to play the game exactly 5 times i.e he keeps playing until he wins prize is (0.25)⁵.

We have, a fast-food restaurant runs a promotion which consists some food items with games pieces. 1 in 4 game pieces is a winner. This means, probability of winning game or sucess (p) = 1/4 . Since number of trials is fixed, trials are independent and probability of success is constant in each trial, we can use Binomial distribution. The Binomial distribution probability formula is

P(X= x) = ⁿCₓ(p)ˣ(1-p)⁽ⁿ⁻ˣ⁾

where,n --> number of trials

p --> probability of success

x --> number of times for a specific outcome within n trials

ⁿCₓ --> number of combinations

we have calculate the probability that he has to play the game exactly 5 times, i.e

x = 5 . Jeff keeps playing until he wins and he wins when he play exactly 5 times so,n= 5

Now, plugging all known values in above formula we get,

P(X= 5) = ⁵C₅(0.25)⁵(1-0.25)⁰

=> P(X= 5) = ⁵C₅(0.25)⁵(0.75)⁰

=> P(X= 5) = 1× (0.25)⁵× 1 = (0.25)⁵

Hence, required probability is (0.25)⁵

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The two equivalent expressions are the second one and the last:

(56x + 24)/8 and 3 + 7x

We want to find an equivalent expression to 56x + 24 divided by 8, so we want to simplify the expression:

(56x + 24)/8   (that is the second expression)

We can distribute that division so we get:

(56x + 24)/8 = (56x)/8 + 24/8

Now we can simplify these two quotients so we get:

(56x)/8 + 24/8 = 7x + 3  (that is the last expression).

Then the two equivalent expressions are:

(56x + 24)/8 and 3 + 7x

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Answer:

\(x^5+9x^4-8x^3-2x^2+7x-4\)

Step-by-step explanation:

standard form means that u order each term by highest to lowest degree (degree is like the sum of all the exponents of the variables in a term). \(x^5\) is the highest, \(9x^4\) is the second highest, \(-8x^3\) is the third highest, \(-2x^2\) is the fourth highest, \(7x\) is the fifth highest, and \(-4\) is the lowest because if it has no variable, it's equivalent to \(-4x^0\) which is obviously the lowest. hope this helps

Answer:

Step-by-step explanation:

Question:A water tank is shaped like the cone shown here. How much water can the tank​ hold? Use 3.14 for . If water is drained from the tank to fill smaller tanks that each hold 200 m³ of​ water, how many smaller tanks can it fill

Answer:

Amount of water = 871.87 in³

Number of tanks = 4 tanks

Step-by-step explanation:

Applying,

V = 1/3πr²h........... Equation 1.

Where V = volume of the tank, h = height, r = radius.

From the diagram attached,

Given: h = 17 m, r = 7 m.

Substitute these values into equation 1

V = 1/3(17)(7²)(3.14)

V = 871.87 m³.

Hence the amount of water the tank can hold is 871.87 m³

If the water is drained to a tank of 200 m³,

The number of tanks it can fill is = 871.87/200 = 4 tanks.

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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Answer:

(40, 10) to (90, 10)

y doesn't change, so 0

x increases by 50

so the answer must be: 0/50

Answer:

B.

Step-by-step explanation:

1*77>0*27

77>0

Therefore 77 is greater than 0

The most specific name for the figure is an isosceles trapezoid

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

The figure

The properties of the given figure are

Using the above as a guide, we have the following:

The figure is a trapezoid

Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid

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Arithmetic operations consists primarily of operations such as addition, subtraction, multiplication, and division. So the option A is correct.

The process of adding things together is known as addition. The '+' sign represents the addition process. It entails combining two or more numbers into a single expression.

The difference between two numbers is calculated using the subtraction operation. The '-' sign represents subtraction. It is nearly identical to addition, but it is the conjugate of the second term.

Multiplication is also referred to as repeated addition. It is indicated by " or '*'. It can also be combined with two or more values to produce a single value.

Division is the inverse of multiplication and is usually denoted by ". It is made up of two terms, dividend and divisor, and the dividend is divided by the divisor to yield a single term value.

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Answer:

x = 1

Step-by-step explanation:

Since a square has four sides the perimeter of the square is =

\(4 \times (4x \: - 1) \: = 16x \: - \: 4\)

Then, the perimeter of the rectangle will be =

\(2 \times (2x \: + \: 1) + \: 2 \times (x \: + 2) \\ = (4x \: + 2) + (2x \: + 4) \)

By collecting like terms, we'll have:

\(4x + 2x \: + 2 + 4 \\ = 6x + 6\)

Therefore, to find the value of x, we will equate both perimeters:

\(16x \: - 4 = 6x + 6\)

Collect like terms:

\(16x - 6x \: = \: 6 + 4 \\ 10x = 10\)

Now, divide both sides by 10:

\( \frac{10x}{10} = \frac{10}{10 } \\ x = 1. \)

Answer:

75°

Step-by-step explanation:

The angle in the given figure is 90°.

x + 15 = 90

x = 90 - 15

x = 75°

Answer:

6(2x³-3)

Step-by-step explanation:

To factor the expression: 12x³−18:

We rewrite 12x³ as 6×2x³

And rewrite -18 as -6×3

6×2x³-6×3

Take out the common factor of 6:

6(2x³-3)

This is our answer
Brainliest please!

The volume of Prism B is approximately 1717.

To find the volume of Prism B, we need to use the information provided and the concept of similarity between the prisms.

Prism A and Prism B are similar, their corresponding sides are proportional.

Let's assume the scale factor between Prism A and Prism B is 'k'. This means that each side of Prism B is 'k' times larger than the corresponding side of Prism A.

Since the surface area is directly proportional to the square of the side length, we can write the following equation:

\((k * side length of Prism A)^2\)= surface area of Prism B

Plugging in the values we have, we get:

\((k * sqrt(588))^2 = 768\)

Simplifying the equation:

\(k^2 * 588 = 768\)

Dividing both sides by 588:

\(k^2 = 768 / 588\)

\(k^2 ≈ 1.306\)

Taking the square root of both sides:

k ≈ sqrt(1.306)

k ≈ 1.143

Now, we can find the volume of Prism B. Since volume is directly proportional to the cube of the side length, we have:

Volume of Prism B =\(k^3 *\) Volume of Prism A

Volume of Prism B ≈ \((1.143)^3 * 1052\)

Volume of Prism B ≈ 1717

The volume of Prism B is approximately 1717.

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-4,-3

Step-by-step explanation:

If you reflect over the y axis only the x #

The distance between Pedro's score and the average LSAT score is: 0.804

A Z-score is a statistical score that represents the position of a raw score in terms of distance from the mean, measured in units of standard deviation.

A Z-score is considered positive if the value is above the mean and negative if the value is below the mean.

The Z-score formula is:

z = (x - μ)/σ

where:

x is the raw value.

μ is the population mean.

σ is the population standard deviation.

Get the parameters like this:

x = 159

μ = 151

σ = 9.95

therefore:

z = (159 - 151)/9.95

z = 0.804

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Complete Question is:

Pedro is studying for the LSAT (law school admissions test). The average LSAT score is 151 with a standard deviation of 9.95.

a. Pedro's practice exam score was 159. What is the distance between Pedro's score and the average LSAT score?