Question 2 (1 point)
Explain how you used the distribute property to find an equivalent expression for
4 (3+x)
ANYONE ITS WORTH 10 POINTS PLEASE???

Answer:

1/2

Step-by-step explanation:

When you roll a 6-sided die, there are 6 possible outcomes:

1, 2, 3, 4, 5, 6

3 of the outcomes are even, and 3 of the outcomes are odd.

p(A) = p(even) = 3/6 = 1/2

p(Ac) = 1 - p(A) = 1 - 1/2 = 1/2

Answer:

61 c

Step-by-step explanation:

Circumference= 2πr = πd=3.14d

1*10 c+ 2*25 c+ 1*1 c = 61 c

True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.

Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.

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The correlation coefficient r=-0.898. From this, we can conclude that the correlation is strong.

The researcher wants to determine whether the age of the person downloading songs helps predict the number of songs downloaded. The age and the number of songs downloaded per month data are as follows:

Age Number of Songs Downloaded153433183827192116486

The researcher can use the correlation coefficient to measure the correlation between the two variables. The correlation coefficient is denoted by r. It lies between -1 and +1. Here's what it means: If r is close to -1, then there is a strong negative correlation between the two variables. If r is close to +1, then there is a strong positive correlation between the two variables. If r is close to 0, then there is no correlation between the two variables.

The calculated correlation coefficient is r=-0.898. This indicates that there is a strong negative correlation between the age of the person downloading songs and the number of songs downloaded. Therefore, we can say that the correlation is strong.

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Answer:

5-n squared+3 squared

Step-by-step explanation:

Step-by-step explanation:

ab = (x - 3)(x + 3)

multiply

ab = x² + 3x - 3x - 9

Simplify

ab = x² - 9

---------------------------

2ab = 2(x² - 9)

Distribute

2ab = 2x² - 18

Following the pattern the equation that represents the formula is

2. an = 4n + 8

A pattern is a sequence of numbers, shapes, or other mathematical objects that follow a certain rule or regularity.

It is a predictable sequence that can be observed and described using mathematical language and notation.

In the pattern the first drawing named term 1 has 12 shaded boxes

Term 2 = 16 shaded boxes

Term 3 = 20 shaded boxes

The equation that suits the pattern is an = 4n + 8

hence substituting

n = 1, an = 4(1) + 8 = 12

n = 2, an = 4(2) + 8 = 16

n = 3, an = 4(3) + 8 = 20

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Answer:

this should help ya ........

Answer:

For 1st:

\(\tt Blank \: 1\:=\boxed{(0,2)}\\\tt Blank \: 1\:=\boxed{(2,-2)}\\\tt Blank \: 1\:=\boxed{(4,4)}\)

For 2nd: b. 6

For 3rd: b. 1

For 4th: c. reflection

Step-by-step explanation:

For 1st Question:

The reflection of a point P (x, y) on the x-axis is a point P' (x, -y).

This means that the x-coordinate of the reflected point is the same as the original point, but the y-coordinate is the opposite sign.

P(x, y) on the x-axis is a point P'(x, -y).

R(0,-2) \(\tt ----------\longrightarrow\) R'(0,2)

E(2,2 )  \(\tt ----------\longrightarrow\) E'(2,-2)

F(4,-4)  \(\tt ----------\longrightarrow\)F'(4,4)

\(\hrulefill\)For 2nd Question:

A regular hexagon has 6 lines of symmetry. These lines of symmetry divide the hexagon into 6 congruent parts.

Therefore, answer is b. 6

For 3rd Question:

If a trapezoid is located entirely in quadrant II, then all of its points will have a positive x-coordinate and a negative y-coordinate. When the trapezoid is reflected across the x-axis, the x-coordinates of all of its points will stay the same, but the y-coordinates will become positive. Therefore, the new trapezoid will be located entirely in quadrant I.

Quadrant II \(\tt ----------\longrightarrow\) Quadrant I

(x, -y)          \(\tt ----------\longrightarrow\)  (x, -y)

As you can see, the point (x, y) is located in quadrant II, but its reflection (x, -y) is located in quadrant I.

Therefore, the new trapezoid will be located in quadrant 1.

So the answer is b. 1.

\(\hrulefill\)

For 4th Question:

If all the coordinates of triangle ABC are from quadrant II to quadrant I, then the triangle must have been reflected across the x-axis.

This is because the x-coordinates of all the points in quadrant II are negative, but the x-coordinates of all the points in quadrant I are positive.

When a point is reflected across the x-axis, its x-coordinate stays the same, but its y-coordinate is negated.

Quadrant II  \(\tt ----------\longrightarrow\)  Quadrant I

(x, y)\(\tt ----------\longrightarrow\)(x, -y)

As you can see, the point (x, y) is located in quadrant II, but its reflection (x, -y) is located in quadrant I.

Therefore, the triangle must have been reflected across the x-axis.

So the answer is c. reflection.

Answer:

-17

Step-by-step explanation:

x+5=-12

X=-12-5

X=-17

PLS MARK ME AS THE BRAINLIEST

Answer:

Children = 200

Adults = 190

Step-by-step explanation:

Children = x

Adults = y

x + y = 390

x = 390 - y..............(1)

20x + 35y = 10650

Substituting

20(390-y) + 35y = 10650

y = 190

x = 390 - 190 = 200

Answer:

Step-by-step explanation:

Number of children = c

Number of adults = a

Total people = 390

a + c = 390 ------------------ (I)

Admission fee for 'c' children = 20 * c = 20c

Admission fee for 'a' adult = 35 * a = 35a

Total amount = $ 10650

35a + 20c = 10650 -------------(II)

Multiply equation (I) by (-20)

(I)*(-20)  -20a - 20c = - 7800

(II)           35a + 20c = 10650    { Now add and so 'c' will be eliminated}

              15a            = 2850

a = 2850/15

a =  190

Plug in a = 190 in equation (I)

190 + c = 390

          c =  390 - 190

c = 200

Number of children = 200

Number of adults = 190

Let μ be the mean of the distribution and let σ be its standard deviation.

We know that 54 falls two standard deviations above the mean, this can be express as:

We also know that 42 falls one standard deviation below the mean, this can be express as:

Hence, we have the system of equations:

To find the mean we solve the second equation for the standard deviation:

Now we plug this value in the first equation:

Therefore, the mean of the distribution is 46

Answer:

It's be B

Step-by-step explanation:

The equation for arc length is 2piR (angle/360)

Plug in your numbers to get the equation 2pi16km (150/360)

Click enter into the calculator you get 41.887km which rounds to 41.9km

In a perfectly secret encryption scheme, the probability of generating a ciphertext for any plaintext is the same, ensuring the equation Pr[Enc_K(m) = c] = Pr[Enc_K(m') = c] holds true.

To prove the equation Pr[Enc_K(m) = c] = Pr[Enc_K(m') = c] for every m, m' ∈ M and every c ∈ C, given that the encryption scheme Π = (Gen, Enc, Dec) is perfectly secret, we need to show that the probability of generating the ciphertext c is the same for any two plaintext messages m and m'.

In a perfectly secret encryption scheme, the ciphertext provides no information about the plaintext, and every ciphertext has an equal probability of being generated for any given plaintext.

Let's assume that the key space K is uniform, meaning that any key K is chosen with equal probability.

Using the definition of perfect secrecy, we can express the equation as follows:

Pr[Enc_K(m) = c] = Pr[Enc_K(m') = c]

Since Π is perfectly secret, the probability of generating ciphertext c for plaintext m is the same as the probability of generating ciphertext c for plaintext m'.

This holds true for every m, m' ∈ M and every c ∈ C, demonstrating the equality of probabilities.

Therefore, the equation Pr[Enc_K(m) = c] = Pr[Enc_K(m') = c] holds for a perfectly secret encryption scheme Π.

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(a) Null hypothesis: H0: µ1 = µ2 Alternate hypothesis: H1: µ1 ≠ µ2

(b) Type of test statistic to use is the t-distribution test since the sample size is small and the population standard      deviation is unknown

(c) The value of the test statistic is: t = −4.918

(d) The p-value is less than 0.0001 (p<0.0001)

e) Since the p-value is less than the level of significance (p<0.0001 < 0.01),

The engineer can conclude that there is sufficient evidence to prove that there is a difference between the mean yield of tomato plants grown with Addi and the mean yield of tomato plants grown with Add2. Therefore, the null hypothesis is rejected in favor of the alternate hypothesis.

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The correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

A bleach and water solution with a 2:3 ratio means that for every 2 parts of bleach, there should be 3 parts of water. This ratio is typically expressed in terms of volume or quantity.

To understand this ratio, let's break it down using different units:

A. 1/3 part bleach and 2/3 part water:

If we consider 1/3 part bleach, it means that for every 1 unit of bleach, there should be 2 units of water. However, this does not match the given 2:3 ratio.

B. 2 cups of bleach and 3 cups of water:

If we consider cups as the unit of measurement, this means that for every 2 cups of bleach, there should be 3 cups of water. This matches the given 2:3 ratio, making it a valid interpretation.

C. 3 cups of bleach and 2 cups of water:

If we consider cups as the unit of measurement, this means that for every 3 cups of bleach, there should be 2 cups of water. However, this interpretation does not match the given 2:3 ratio.

Based on the given options, the correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

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The balance of the account will be approximately $1061 at the end of the third year with a principal amount of $1000 at an annual interest rate of 2%.

So, the correct option is d) $1061.

Given, Principal amount, P = $1000

Interest rate, R = 2%

Time, T = 3 years

The formula to calculate simple interest is,Simple Interest = (P × R × T) / 100

Putting the values in the above formula, we get Simple Interest = (1000 × 2 × 3) / 100 = 60

Amount = Principal + Simple Interest

Amount = $1000 + $60 = $1060

So, the balance of the account will be approximately $1061 at the end of the third year (rounded off to the nearest dollar).

A recession causes a reduction in consumer spending. This reduces the profits made by many producers, causing the value of their stock to decline. This is an example of industry risk in the stock market.Industry risk refers to the risks associated with the performance of an industry in the stock market. These risks arise from factors that are specific to the industry of a company or a group of companies. These risks cannot be diversified away and they affect all companies operating in a specific industry sector. Thus, a recession causing a reduction in consumer spending is an example of industry risk in the stock market. Hence, the correct option is c) industry risk.

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Answer:

Step-by-step explanation:

volume = ⅓×8×7×6 = 112 in³

Answer:

168

Step-by-step explanation:

Marlene will need to buy approximately 44 feet of fencing to enclose her circular vegetable garden.

To determine the amount of fencing Marlene needs, we'll need to calculate the circumference of her circular vegetable garden. Here's a step-by-step explanation:

1. Given the diameter of the garden is 14 feet, we can find the radius by dividing the diameter by 2: Radius = Diameter / 2 = 14 feet / 2 = 7 feet.

2. Now, we will use the formula for the circumference of a circle, which is: Circumference = 2 * pi * radius.

3. Plug in the radius value we found in step 1: Circumference = 2 * pi * 7 feet.

4. Calculate the circumference: Circumference ≈ 2 * 3.1416 * 7 feet ≈ 43.98 feet.

5. Since fencing is sold by the linear foot, Marlene needs to buy approximately 44 linear feet of fencing to enclose her circular vegetable garden and keep the rabbits away.

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nonononononononononononononononononononononononononononononononononononononono

The random variable y, representing the length of the left piece from the second break, will follow a triangular distribution.

When we break the ruler for the first time, we have two pieces: the left piece (x) and the right piece (2 - x). Since the break is chosen using a uniform probability distribution, the length of the left piece (x) can take any value between 0 and 2 with equal probability. Therefore, the random variable x follows a uniform distribution on the interval [0, 2].

Now, when we take the left piece (x) and break it for the second time, we have two smaller pieces: the left piece from the first break (x) and the new left piece (y). The length of y will depend on the position of the second break point within the left piece from the first break.

Since the second break is also chosen using a uniform probability distribution, the position of the break point within the left piece (x) will also follow a uniform distribution. Therefore, the length of the new left piece (y) will follow a triangular distribution, as it represents the left portion of the remaining piece after the second break.

In the triangular distribution, the probability density function is highest at the midpoint of the interval and decreases linearly towards the endpoints. In this case, the interval for y is [0, x], where x follows a uniform distribution on [0, 2]. Thus, the length of the left piece from the second break, y, will also follow a triangular distribution on the interval [0, x].

In summary, the random variable y, representing the length of the left piece from the second break, will follow a triangular distribution with the interval [0, x], where x represents the length of the left piece from the first break and follows a uniform distribution on [0, 2].

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Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

Answer:

x= ± \(4\sqrt{3}\)

Step-by-step explanation:

First of all, 16/(1/3) is 48, so \(x^{2} = 48\)

\(x = +- \sqrt{48}\)

\(\sqrt{48}\) is equivilant to \(4\sqrt{3}\)

Answer:

x= ± /3

Step-by-step explanation:

a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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Answer:

A. Plug 1 in for all x

Step-by-step explanation:

Answer:

52x

Step-by-step explanation:

If we replace x with "a number", then the expression would be 52x.

Answer:

What do you want us to do

Step-by-step explanation:

.

Answer:

B, between 3 and 4 miles

Step-by-step explanation:

We know that h is 9.

√1.5*9

1.5*9=13.5

This can be done without a calculator.

if we know that √13.5 is in between √9 and √16 and that √9=3 and that √16 is equal to √4, it can be concluded that the answer is in between 3 and 4.

Answer:

265.42

Step-by-step explanation:

The total Chikp paid for the stock was:

(75 shares)*($19.58/share) = $1468.50

--

At the end of the year his stock was worth (75 shares)*($22.14/share) = $1660.50

The is a net gain of ($1660.50 - $1468.50) = $192

Add the dividend income to arrive at his total profit for the year:

$192 + $73.42 = $265.42

Hey there! I'm happy to help!

If angles are complementary, they add up 90 degrees.

This means that 2x-13+4x-5=90

Let's solve this equation now.

2x-13+4x-5=90

We combine like terms.

6x-18=90

We add 18 to both sides.

6x=108

x=18

Now we plug this x value into the value for angle B.

4(18)-5

72-5

67

Therefore, the measure of angle B is 67 degrees.

Have a wonderful day!