Question 11 of 25
What is the solution to the equation below?
X+ 4 = V8 - x
O A. x = 0
B. X = -7
C. X = -1
D. X= 4

Answer:

The answer is 6 marbels.

Hope this helps!

Answer: b

Step-by-step explanation:

Let X be the number of children with green eyes. Then X follows a binomial distribution with parameters n = 2 and p = 0.125.  The probability that one of their child will have green eyes is 0.164.

P(X = 1) = P(one child has green eyes) + P(the other child has green eyes)

= 2 * P

= 2 * (0.75 * 0.125 * 0.875)

= 0.164

thus, the probability that exactly one of their children will have green eyes is 0.164 rounded to 3 decimal places.

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The probability that exactly one of their children will have green eyes is 0.164 rounded to 3 decimal places.

Let X be the number of children with green eyes. Then X follows a binomial distribution with parameters n = 2 and p = 0.125.  The probability that one of their child will have green eyes is 0.164.

P(X = 1) = P(one child has green eyes) + P(the other child has green eyes)

= 2 ×P

= 2 × (0.75 × 0.125 × 0.875)

= 0.164

thus, the probability that exactly one of their children will have green eyes is 0.164 rounded to 3 decimal places.

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Answer:

This is the expression expanded

Step-by-step explanation:

Answer:

Let's simplify step-by-step.

−x+5−7x−8

=−x+5+−7x+−8

Combine Like Terms:

=−x+5+−7x+−8

=(−x+−7x)+(5+−8)

=−8x+−3

not sure if I'm correct but this is just to simplify

The equation of the line that passes through ( -9, 7) and (4, 7) is y = 7.

Given that

( -9, 7) and (4, 7)

Since both points have the same y-coordinate of 7, we know that they lie on a horizontal line.

Using the point-slope formula, we can find the equation of the line that passes through (-9, 7) and has a slope of 0 (since it's a horizontal line):

y - y1 = m(x - x1)

y - 7 = 0(x - (-9))

y - 7 = 0

y = 7

So the equation of the line is y = 7.

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Using the normal distribution, we know that the likelihood of a lizard living longer than 2.5 years is 16%.

The normal distribution is the correct name for a probability bell curve alone.

A normal distribution has a mean of zero and a standard deviation of one. Its kurtosis is 3, and its skew is 0.

Not all normal distributions are symmetrical, despite the fact that all symmetrical distributions are normal.

So, a lizard's average lifespan is 3.1 years, with a 0.6-year standard deviation.

Lizard u = 3.1 on average.

0.6 is the standard deviation.

To determine the probability that a lizard would live longer than 2.5 years:

p(X<2.5)

μ + aσ = 2.5

3.1 + a(0.6) = 2.5

a(0.6) = −0.6

a = −1

Use the empirical rule to calculate the probability.

100% of the total area (since total probability always is 1)

The area from p(X > p) = 50% from to area between () and (+) equals 68%.

Area between (μ−σ) and μ is p((μ−σ) < X < μ) =34%

Hence,

p(X< (μ−σ)) = 1 − (p((μ−σ) < X < μ) + p(X > μ))

p(X< (μ−σ)) = 1 − (0.34 + 0.5)

p(X< (μ−σ)) = 0.16  

Therefore, using the normal distribution, we know that the likelihood of a lizard living longer than 2.5 years is 16%.

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approximately 50 % of the values in a normal distribution will lie below the mean, and the remaining 50 % will lie above the mean.

In a normal distribution, approximately 50 % of the values lie below the mean.

A normal distribution is symmetric around its mean, with the mean located at the center. Since the distribution is symmetric, half of the values will fall below the mean and the other half will fall above the mean.

Therefore, approximately 50 % of the values in a normal distribution will lie below the mean, and the remaining 50 % will lie above the mean.

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Approximately 50% of the values lie below the mean in a normal distribution.

In a normal distribution, the mean is located at the center of the distribution. The distribution is symmetric, meaning that there are an equal number of values on both sides of the mean. To determine the percentage of values below the mean, we need to find the area under the curve to the left of the mean.

In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, approximately 50% of the values lie below the mean. This means that if we were to calculate the area under the curve to the left of the mean, it would be approximately 0.5 or 50%.

It's important to note that in a normal distribution with a different mean and standard deviation, the percentage of values below the mean may vary. However, the concept remains the same - the area under the curve to the left of the mean represents the percentage of values below the mean.

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The inequality used to determine v, the minimum number of visits Taylor needs to earn her first free movie ticket is 75 + 6.5v ≥ 100.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given,

Points for signing up = 75 points

Points for each visit to the movie theater = 6.5 points

Let v be the minimum number of visits Taylor needs to earn her first free movie ticket.

Points earned for v visits = 6.5v

She needs at least 100 points for a free movie ticket.

75 + 6.5v will be the points she earn for a free movie ticket.

This expression must be greater than 100, which is the required points for a free movie.

75 + 6.5v ≥ 100

Hence the inequality representing the situation is 75 + 6.5v ≥ 100.

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Answer:

A = 35 - 4t

B = 50 - 7t

Height = 15 inches

Step-by-step explanation:

Given that:

Height of snowman A = 35 inches

Height of snowman B = 50 inches

Height decrease of snowman A = 4 inches per hour

Height decrease of snowman B = 7 inches per hour

t = number of hours

A = 35 - 4t       Eqn 1

B = 50 - 7t       Eqn 2

At same height,

Eqn 1 = Eqn 2

35 - 4t = 50 - 7t

-4t + 7t = 50 - 35

3t = 15

Dividing both sides by 3

\(\frac{3t}{3}=\frac{15}{3}\\t=5\)

Putting t=5 in both equations

A = 35 - 4(5) = 35 - 20 = 15 inches

B = 50 - 7(5) = 50 - 35 = 15 inches

Hence,

A = 35 - 4t

B = 50 - 7t

Height = 15 inches

The equation should be

A = 35 - 4t

B = 50 - 7t

And, the Height = 15 inches

Since

Height of snowman A = 35 inches

Height of snowman B = 50 inches

Height decrease of snowman A = 4 inches per hour

Height decrease of snowman B = 7 inches per hour

Here, t = number of hours

So, the equation should be

A = 35 - 4t      

B = 50 - 7t      

Now for the same height

35 - 4t = 50 - 7t

-4t + 7t = 50 - 35

3t = 15

t = 15

So,

A = 35 - 4(5) = 35 - 20 = 15 inches

B = 50 - 7(5) = 50 - 35 = 15 inches

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Answer:

3. C

4. D

Step-by-step explanation:

1. add flat fee to each song.

2. Multiply 0.15 by 25 then add 10

The solution to the inequality is option B: b ≤ 1 (7/10).

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The inequality equation is 7/2 ≥ b + 9/5.

Write the inequality in standard form -

7/2 = b + 9/5

Simplify the equation -

b = 7/2 - 9/5

b = (35-18) / 10

b = 17 / 10

b = 1 (7/10)

Apply the inequality symbol -

b ≤  1 (7/10)

Therefore, the solution is 1 (7/10).

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Choose the solution to this inequality.

7/2≥b+9/5

A. b≥2/5

B. b≤1(7/10)

C. b≤−2/3

D. b<2(2/7)

Answer:

1

Step-by-step explanation:

All variable terms are to the first power. You can prove this by solving:

-5j = -6j - 4

4 = -1j

j = -4 (One answer)  

Answer:

9

Step-by-step explanation:

The actual radius would be 9.424778 but rounded to the nearest whole number would be 9

Answer:

C≈9.42ft

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·3≈9.42478ft

Answer:

24 cm

Step-by-step explanation:

We can set up a ratio of 18 m / x cm = 3 m / 4 cm because we know that it's a scale.

Cross multiplying, we get 3x = 72. Divide both sides by 3 and we have x = 24 cm.

We can also consider it by just dividing 18 m by 3 m to find the scale factor, which is 6. We then multiply the 4 cm by 6 to get 24 cm as well.

Answer:

A

Step-by-step explanation:

It can only be a bc its the only one with -4 as b

Answer:

1542

Step-by-step explanation:

Option B is correct as the given equation is not exact.

To determine if the equation is exact, we need to check if the partial derivatives of the coefficients with respect to each variable are equal. In this case, the coefficient of dt is e^(7y-5t) and the coefficient of dy is 9+7e.

Taking the partial derivative of the coefficient of dt with respect to y, we get d/dy(e^(7y-5t)) = 7e^(7y-5t), while the partial derivative of the coefficient of dy with respect to t is d/dt(9+7e) = 0. These partial derivatives are not equal, indicating that the equation is not exact.

Therefore, the correct choice is (B) - "The equation is not exact." Since the equation is not exact, we cannot solve it directly using methods such as finding an integrating factor or the potential function.

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2 + 3x

= 5

Have a Nice day

Considering the equation of an ellipse, it is found that the height of the tunnel 10 feet from the edge is of 14 feet.

The following is the equation for a horizontal ellipse of center with coordinates (h,k):

(x - h)²/a² + (y - k)²/b² = 1.

In relation to this issue, we have that:

The origin is where the center is.

Since the major axis is 70, 2a = 70 and a = 35.

The maximum height is 20, therefore b is equal to 20.

As a result, the ellipse's equation is as follows:

x²/35² + y²/20² = 1.

It is determined that x = 25 when the tunnel is 10 feet from the edge since 35 – 10 = 25; therefore, the height y is calculated as follows:

25²/35² + y²/20² = 1

0.51 + y²/20² = 1

y²/20² = 0.49

y² = 20² x 0.49

y =√(20² x 0.49)

y = 14 feet.

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It is true that when scores are normally distributed with a mean of 460 and standard deviation of 80, then the probability that an applicant scores below 552 is 0.8329.

Given, a large number of MBA applicants are given an aptitude test. scores are normally distributed with a mean of 460 and standard deviation of 80.

We are asked the probability that an applicant scores below 552.

Now, using the formula of probability, we get

P(X < 552) = 0.8329

when the mean is given i.e. 460 and standard deviation is given i.e. 80.

Hence, it is true that when scores are normally distributed with a mean of 460 and standard deviation of 80, then the probability that an applicant scores below 552 is 0.8329.

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Jeff is approximately 517.26 feet away from the Sasquatch nest.


To find the distance between Jeff and the Sasquatch nest, we can use trigonometry. We have the angle and distance between Carl and Jeff, as well as the angles between Carl and the nest and Jeff and the nest. By creating a triangle with Carl, Jeff, and the nest as the vertices, we can use the law of cosines to determine the distance between Jeff and the nest.
Let's denote the distance between Carl and the nest as "x." Using the law of cosines, we can set up the equation:
x^2 = 540^2 + 517.26^2 - 2(540)(517.26)cos(180° - (69° + 52°))
Simplifying the equation, we get:
x^2 ≈ 540^2 + 517.26^2 - 2(540)(517.26)cos(59°)
Solving for x, we find:
x ≈ √(540^2 + 517.26^2 - 2(540)(517.26)cos(59°))
Evaluating the expression, we get:
x ≈ 517.26 feet.
Therefore, Jeff is approximately 517.26 feet away from the Sasquatch nest.

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Step-by-step explanation:

the answer is 3.142

\(3.142 \times 20 \times 18 \\ 2 = 1131.2 \times 3.142 \times 10^{2} = 628.4 \\ \\ = 1759.52\)

Answer: z = 7

Step-by-step explanation:

Step 1: Subtract 4 from both sides

z + 4 - 4 = 11 -4

z = 7

After analysing the given data we conclude that the factorization of the given expression is 3(x³+24)(x³-9), under the condition that the given expression is 3x⁶+57x³-648.

The expression 3x⁶+57x³-648 could  be factored by first evaluating the greatest common factor (GCF) of the terms.  It means the largest number that divides two or more numbers without leaving a remainder. For instance , the GCF of 12 and 18 is 6 because 6 is the largest number that divides both 12 and 18 without leaving a remainder.
The GCF of 3x⁶, 57x³ and -648 is 3.
We can factor out 3 from each term to get:
3(x⁶+19x³-216)
The expression x⁶+19x³-216 could  be factored further applying the substitution u=x³:
u²+19u-216
This quadratic equation can be factored as:
(u+24)(u-9)
Staging  back x³ for u,
(x³+24)(x³-9)
Hence, the factored form of 3x⁶+57x³-648 is:
3(x³+24)(x³-9)
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Answer:

5

Step-by-step explanation:

if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.

To determine the total amount if the installment option is used, we need to calculate the total repayment over the 240-month term.

The installment amount per month is $4,500, and the repayment term is 240 months.

Total repayment = Installment amount per month * Repayment term

Total repayment = $4,500 * 240

Total repayment = $1,080,000

Therefore, if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.

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Answer:

1)  3x+4y=8

4y=-3x+8

4y/4=-3x/4+8/4

y=-3/4x+2

slope=-3/4

Y intercept=2

2) 9x+35=-5y

-5y/-5=9x/-5+35/-5

y=-9/5x-7

slope=-9/5

y intercept=-7

3)2y-6=-6x

2y−6+6=−6x+6

2y /2−6x/2+6 /2

y=−3x+3

slope is -3x

y intercept is 3

Answer:

A.

Step-by-step explanation: