7x-7/79 = 68x+8
Find X.

Using the given discrete probability distribution, it is found that the probability that a randomly selected student has a grade higher than a C is given by:

P(X > 2).

From the table, it is given by:

Grades A and B are greater than C, hence the probability of getting a grade higher than C is given by:

P(X > C) = P(X = A) + P(X = B) = P(X = 3) + P(X = 4) = P(X > 2).

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Answer:

identity 4

Step-by-step explanation:

Answer:

3x minus negative 3

Step-by-step explanation:

If you multiply 3x-4 and 3x- -3 then you would get 9x - 12.

Answer:

16 people

Step-by-step explanation:

35.75 times 16 is 572, times 17 is 607.75, he only has 600 and he cant have a fraction of a person, so he can have 16 people

Answer:

Step-by-step explanation:

We all know that there are 52 cards prszent in a deck out of which 13 are diamonds. Hence, the probability that both cards are spade is

13/52 * 12/51 =

0.25 * 0.235 =

0.0588

If both cards turn out to be diamonds, the friend pays $810 which is

$810 * 0.0588 = $47.628

On the other hand, the probability that both cards isn't a diamond is simply the negation of the probability that it is a diamond.

1 - 0.0588 = 0.9412

And you would have to pay your friend

$49 * 0.9412 = -$46.12, with the prefixed negative sign telling us that it's a lost bet.

Answer:

-D

Step-by-step explanation:

Did u get your answer I really need this fast

The interest earned on the principal amount at the end of 10 years is 1662 (rounded to the nearest dollar).

Given that the principal amount invested is 2000 and the annual rate of interest is 6.5%, compounded quarterly.

We need to find the amount of interest earned on the principal amount at the end of 10 years.

Using the compound interest formula, the future value of the principal amount after 10 years is:

\(FV = P(1 + r/n)^(nt)\)

where

P = 2000,

r = 6.5% = 0.065,

n = 4 (quarterly compounding), and

t = 10 years

So, the future value of the principal amount after 10 years is:

\(FV = 2000(1 + 0.065/4)^(4×10)= 3662.14\)

The interest earned on the principal amount is the difference between the future value and the principal amount, which is:

3662.14 - 2000= 1662.14

Therefore, the interest earned on the principal amount at the end of 10 years is 1662.

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Answer: 7 + 2x

Step-by-step explanation:

Hope this helps

Given that x is equal to 1 and S is the centroid of the triangle NLQ, NS will have a length of 4 units.

The centroid of a flat figure or solid figure, also known as the geometric center or center of figure, in mathematics and physics, is the arithmetic mean position of all the points on the figure's surface. Any n-dimensional Euclidean object is included by the same definition. The centroid of a triangle is the location where the triangle's three medians connect. It may alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.

Here,

We may infer from the centroid's features that it divides each median in a ratio of 2:1.

NS=2SR

7x-3=2(5x-3)

7x-3=10x-6

3x=3

x=1

NS=7x-3

=7*1-3

=4 units

The length of NS will be 4 units as the value of x is 1 and S is the centroid of triangle NLQ.

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Answer:

= 114/8-56/8

= 14.25-56/8

= 14.25-7

= 7.25

Step-by-step explanation:

This is Bedmas so remember brackets, exponents, addition, multiplication and subtraction.

I hope this helps!!

Answer:

46/8 is the answer

hope it help

A. The null hypothesis H₀ and the alternative hypothesis H₁ are:

H₀: μ = 35 minutes       H₁: μ > 35 minutes

B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.

C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.

A Type II error occurs when the null hypothesis is false, but the test does not reject it.

In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.

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answer

x=14

Step-by-step explanation:

4.5(8-x)+36=102-2.5(3x+24)

36-4.5x+36=102-7.5x-60

-4.5x=42-7.5x

7.5x-4.5x=42

3x=42

x=42/3

x=14

Hello there!

Answer:

16

Step-by-step explanation:

\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)

-12 < 0 so |-12| = -(-12) = 12

4 > 0 so |4| = 4

|-12| + |4| = 12 + 4 = 16

Answer:

16

Step-by-step explanation:

Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].

This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.

The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.

Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation

12+4=16

Thus, the answer is 16.

Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!

Hence, there is only one answer, which is (-3, 3) as the two lines intersect in order to obtain the solution(s) to the system of equations.

Here, we have,

A value or combination of values that satisfy an equation, inequality, system of equations, or system of inequalities are known as solutions in mathematics. Take the equation x2 - 3x + 2 = 0, for instance. This equation has a solution in the form of an x value that makes the equation true. The quadratic formula allows us to determine that this equation has two solutions, x = 1 and x = 2. According to this, a solution for a system of equations is a set of values that simultaneously satisfy every equation in the system. Mathematical problem-solving, which has many applications in areas like engineering, physics, economics, and more, is a crucial component of the subject.

given

We must identify the point(s) at where the two lines intersect in order to obtain the solution(s) to the system of equations depicted by the graph. The graph demonstrates that the lines cross at the location (-3, 3).

Hence, there is only one answer, which is (-3, 3) as the two lines intersect in order to obtain the solution(s) to the system of equations.

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Answer:

To find the first blank number, you can use reverse operations. Something + 7 must equal 3. So, the blank number is 7 subtracted from 3.

3-7=-4

The first blank number is -4. To find the second blank number, add 10 to the first blank number (-4).

-4+10=6

The second blank number is 6.

Hope this helps! :)

Answer:

∠CDF = 48°

Step-by-step explanation:

∠CDE = ∠EDF + ∠CDF

Given that,

∠CDE = 114°

∠EDF = 66°

So, to find the value of ∠CDF, you have to subtract the value of ∠EDF from ∠CDE.

∠CDF = ∠CDE - ∠EDF

∠CDF = 114 - 66

∠CDF = 48°

hii

what's the best way to recreate the incident as it happened and to picture

Answer:

B

Step-by-step explanation:

a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c) . A 90% confidence interval would be wider than the 95% interval

To verify the Central Limit Theorem (CLT) conditions, we need to check the following:

1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.

2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.

3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.

Therefore, the Central Limit Theorem conditions are met.

b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:

CI = p ± z * √(p(1-p)/n)

where:

- p is the sample proportion (82% or 0.82 in decimal form).

- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.

- n is the sample size (800).

Calculating the confidence interval:

CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)

CI = 0.82 ± 1.96 * √(0.82*0.18/800)

CI = 0.82 ± 1.96 * √(0.1476/800)

CI = 0.82 ± 1.96 * √0.0001845

CI ≈ 0.82 ± 1.96 * 0.01358

CI ≈ 0.82 ± 0.0266

The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.

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The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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The number of steps they climbed can be represented by positive

From the question, we understand that they climbed up

Upward movements are usually represented by the positive sign

This means that:

Steps = 125 or +125

Hence, the number of steps they climbed can be represented by positive

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Answer:

70/100= 0.7= 70%

70%

Answer:

$163.80

Step-by-step explanation:

100% --- $140

100% + 17% --- \(\frac{100+17}{100}\) × $140 = $163.80

Answer:

$163.8

Step-by-step explanation:

initial price(P) = $140

increased rate(R%)= 17%

New price(N)= ?

Then,

N =P + P × R%

= 140 + 140 × 17/100

= 163.8

Answer:

C. 7°F

Step-by-step explanation:

It is noticed that the factors then the x-intercepts are the same value as that of factors.

Given that, the quadratic equation represented on the graph in factored form is y=(x-3)(x+2).

From the graph, x-intercepts are x=-2 and x=3.

The vertex of the given quadratic graph is (0.5, -6)

Therefore, it is noticed that the factors then the x-intercepts are the same value as that of factors.

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Answer:

279936

Step-by-step explanation:

Good luck ranking to the next level!

Answer:

279936

I just got ace rank! Finally people will KNOW I am the person who gets right answers!

Answer:

669 dollars and 70 cents

Step-by-step explanation:

just minus all the money spent and add the money added