what is 5 over 8 divided by 4
5/8 divided 4

a. There are 14 choices  if 2 of the friends are feuding and will not attend together.
b. There are 56 choices if 2 of the friends will only attend together.

a. If 2 of the friends are feuding and will not attend together, we can split the group of 9 friends into two subgroups: those who are feuding (call this group A) and those who are not (call this group B). We can choose 1 member from group A in 2 ways (since only 1 of the feuding friends can be invited), and we can choose 6 members from group B in C(7,6) = 7 ways (since we have to exclude the other feuding friend).

    Therefore, the total number of choices is 2C(7,6) = 27 = 14.

b. If 2 of the friends will only attend together, we can treat them as a single "unit" and have 8 friends to choose from. We can then choose 5 more friends from the remaining 8 in C(8,5) ways.

      Therefore, the total number of choices is C(8,5) = 56.

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The length that the caliper reads can be found to be the value of A. 0. 69 cm.

In order to ascertain the measurement of a caliper's length, it is imperative to recognize both the scales inscribed on it. The larger exterior scale on the caliper is known as the primary scale. The narrower scale situated inside the caliper is known as the vernier scale.

Easily determine the measurement on the primary scale by locating the numeral that corresponds with the zero indication on the vernier scale. This represents the total count of millimeters in whole.

As we can see, the main scale has a value of that is almost at 0. 70 cm but not quite there. We will therefore go to the lower one which is 0.6 cm. Then we look at the venier scale and see that at 0.09 cm, there is an alignment. This means that the length is:

= 0. 6 + 0. 09

= 0. 69 cm

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Options include:
A. 0.69 cm

B. 1.6cm

C. 0.7cm

D. 2.1 cm

The solution to the system of linear equations is x = 1, y = -3, and z = 8, which is option B: X=-1, y=-3, z=2.

To solve this system of linear equations, we can use Gaussian elimination, which involves adding and subtracting equations to eliminate variables. Here are the steps:

x - 3y - 2z = 6

2x - 4y - 3z = 8

-3x + 6y + 8z = -5

Step 1: Add twice the first equation to the second equation to eliminate x:

x - 3y - 2z = 6

4y + z = 20

-3x + 6y + 8z = -5

Step 2: Add three times the first equation to the third equation to eliminate x:

x - 3y - 2z = 6

4y + z = 20

9y + 2z = 13

Step 3: Solve for z in the second equation:

4y + z = 20

z = 20 - 4y

Step 4: Substitute z into the third equation and solve for y:

9y + 2z = 13

9y + 2(20 - 4y) = 13

y = -3

Step 5: Substitute y into the second equation and solve for z:

4y + z = 20

4(-3) + z = 20

z = 8

Step 6: Substitute y and z into the first equation and solve for x:

x - 3y - 2z = 6

x - 3(-3) - 2(8) = 6

x = 1

Therefore, the solution to the system of linear equations is x = 1, y = -3, and z = 8, which is option B: X=-1, y=-3, z=2.

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The text format of the question in the picture:

15. The solution the system of linear equation of

x-3y-2z = 6

2x-4y-3z = 8

(-3x+6y+8z = -5 is

A) X=-1,y=-3, z=-2 B) X=-1,y=-3, z=2 C) X=1,y=-3, z=2 D) X = 1, y = 3, z=-2

Answer:

The answer is

Step-by-step explanation:

Answer:

250 acres

Step-by-step explanation:

2 bison x 50 = 100 bison

5 acres x 50 = 250 acres

Answer:

250 acers of grass

you do 50x5

Answer:

9.31

Step-by-step explanation:

Distance = 3 ⅘ x 2.45

3 ⅘ = 3.8

3.8 x 2.45 = 9.31

According to the conversation we can infer that the information focused on the conversation of two people; one of them is studing for an exam.

To identify what is the conversation about we have to consider who is talking and what are the ideas that they share. In this case, we can infer that the main idea of this conversation is that one of them is studying for an exam this week.

Also, the second person is apologizing because he considered that he is distracting the other person. So, the correc information about de conversation is a short conversation about study.

Note: This question is incomplete. Here is the complete information:

Conversation:
Hello

Hello, How are you?

I am fine, and you?

i am fine too, What are you doing?

I am studing for an exam this week.

Oh, sorry I won´t distract you.

Don´t worry.

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I don't know the answer but same

Sorry ✨

Answer:

y ≥ 2x + 4

Step-by-step explanation:

Answer:

2³ × 3 × 11 × 13

Step-by-step explanation:

By prime factorisation,

→ 3432 = 2 × 2 × 2 × 3 × 11 × 13

→ 3432 = 2³ × 3 × 11 × 13

Answer:

I got you.

Step-by-step explanation:

A. >

B. =

C. >

D. <

Answer:

a >

b =

c >

d <

Step-by-step explanation:

hope this helps

Answer:

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Step-by-step explanation:

If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:

\(d=14-4\\d=10\ hours\)

London is 10 hours ahead of Honolulu.

If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:

\(t=12+10\\t=22 = 10:00\ p.m.\)

Since he arrived in London at 1:00 p.m. at Friday, the flight time was:

\(F= (24-22)+13\\F=15\ hours\)

The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:

\(T=30-(15*1)\\T=15^oC\)

Converting it to Fahrenheit

\(T=(15*\frac{9}{5})+32 \\T=59\ F\)

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Answer:

d

Step-by-step explanation:

Answer:

6400

Step-by-step explanation:

We have 1 + 3 + 5 + ... + 155 + 157 + 159.

We can use Gauss's strategy.

Since we are adding 80 numbers, there are 40 pairs. Each pair adds up to 1 + 159 = 160. (Notice that 3 + 157, 5 + 155 = 160)

Thus, because there are 40 pairs and each pair adds up to 160, we have 160 * 40 = 6400.

I hope this helps!

The p-value of the given hypothesis is; 0.9999

The formula for the z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

where;

p^ is sample proportion

p is population proportion

n is sample size

We are given;

p^ = 15% = 0.15

p = 20% = 0.2

n = 5000

Thus;

z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)

z = -8.8388

From p-value from z-score calculator, we have;

P(Z < -8.8388) = 1 - 0.0001 = 0.9999

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Answer:

cannot factor.

Step-by-step explanation:

The r-value that represents the most moderate correlation is given as follows:

0.18.

A correlation coefficient is a statistical measure that indicates the strength and direction of a linear relationship between two variables.

The coefficients can range from -1 to +1, with -1 indicates a perfect negative correlation, 0 indicates no correlation, and +1 indicates a perfect positive correlation.

Hence the most moderate correlation is the value with the absolute value closest to zero, hence it is given as follows:

0.18.

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Expressions that use the inequality symbols to compare two linear expressions are known as linear inequalities.

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Answer:

Step-by-step explanation:

left side:   5 - 4 + 7x + 1 = 1 + 7x + 1 = 7x + 2

No solution is when we have the same number of x-es and different sums of other numbers on both sides of equation. So we have to put 7 next to x and any numer except 2 at the second place.

So the right side could be 7x+1 or 7x+3 or 7x+125 and so on.

One solution is when we have different number of x-es on both sides of equation. The sums of other numbers could be any numbers.

So the right side could be ex.: 2x+1, x+2, 8x, 3x+(-18), and so on.

Infinitely many solutions is when we have  the same number of x-es and the same sums of other numbers on both sides of equation. So we have to put 7  next to x and numer 2 at the second place.

So the right side has to be 7x + 2

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Calories from 20 grams of fat will be 180 .

Given,

Dinner with 20 grams of fat .

Now,

Carbohydrates provide 4 calories per gram, protein provides 4 calories per gram, and fat provides 9 calories per gram.

So,

1 gram fat ⇒ 9 calories

20 gram fat ⇒ 20*9

Thus 20 gram of fat in dinner will provide 180 calories .

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Based on the given angles, the missing answers of the sequences uploaded screenshots are:

The following answers are constructed based on the sequences of each problems not as the sequences of the uploaded screenshots.

3. Since ∠1 + ∠2 = 180°; then both are supplementary angles

4. Both ∠1 and ∠2 have equal size of angle and share no adjacent side; then both are vertical angles

5. 116° + 64° = 180°; then both are supplementary angle

8. Angles ∠3 and ∠4 are adjacent supplementary because it shares an adjacent side and its sum is 180°.

10. Angles ∠3 and ∠5 are vertical since they share no adjacent side but have equals size of angle.

12. Angles ∠1 and ∠5 are adjacent but neither complementary or supplementary because it sums are not 90° either 180°.

13. x and 107° are vertical angles; then:

x = 107°

15. x and 142° are supplementary angles; then:

x + 142° = 180°

x = 38°

17. ∠RST = 112°

∠RST = x + 87° = 112°

x = 35°

19. It is given that:

x + 127 = 180°

x = 53°

x = y = 53°

y + z = 90°

53° + z = 90°

z = 37°

21. ∠G + ∠H = 180°

51° + ∠H = 180°

∠H = 129°

22. ∠1 = ∠2

∠2 = 128°

23. ∠J + ∠K = 90°

∠J + 73° = 90°

∠J = 17°

2. Corresponding angles and congruent

4. Alternate interior angles and congruent

6. Consecutive interior angles and supplementary

8. Alternate exterior angles and congruent

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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 exponential regression equation that was obtained from the graphing calculator is y = 7.355 * (10.579)ˣ

The correct option is D.

Step 1: Exponential regression equation:

The exponential regression equation provided by the graphing calculator is given as:

where the values of a and b represent the coefficients in the equation, and x represents the independent variable.

Step 2: The information that was returned by the calculator is;

a = 7.354734813

a = 7.355 rounded to 3 decimal places

b = 10.57922764

b = 10.579 rounded to 3 decimal places

Step 3:

Substituting the values of a and b in the exponential regression equation  by the graphing calculator;

the exponential regression equation is:

y = 7.355 * 10.579ˣ rounded to 3 decimal places

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Answer:

Step-by-step explanation:

The 6x^2 because 6  is not a perfect square.

Answer:

6x^2

Step-by-step explanation:

6 isn't a perfect square

The Jacobian matrix for the given transformation is:

Jacobian = | 6v 6u | = | 9 -1 |

The Jacobian of the transformation for the given equations is a 2x2 matrix that represents the partial derivatives of the new variables (x and y) with respect to the original variables (u and v). In this case, the Jacobian matrix will have the following form:

Jacobian = | ∂x/∂u ∂x/∂v |

| ∂y/∂u ∂y/∂v |

To find the Jacobian, we need to calculate the partial derivatives of x and y with respect to u and v, respectively.

In the given transformation, x = 6u v and y = 9u - v. Taking the partial derivatives, we have:

∂x/∂u = 6v (partial derivative of x with respect to u)

∂x/∂v = 6u (partial derivative of x with respect to v)

∂y/∂u = 9 (partial derivative of y with respect to u)

∂y/∂v = -1 (partial derivative of y with respect to v)

Plugging these values into the Jacobian matrix, we obtain:

Jacobian = | 6v 6u | = | 9 -1 |

So, the Jacobian matrix for the given transformation is:

Jacobian = | 6v 6u | = | 9 -1 |

This matrix represents the rate of change of the new variables (x and y) with respect to the original variables (u and v). The elements of the Jacobian matrix can be used to compute various quantities, such as gradients, determinants, and transformations in multivariable calculus and differential geometry.

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Answer:

yes

Step-by-step explanation:

Certainly! To find the probability that exactly 10 out of the 50 executives say that older workers have blocked their career advancement, we can use the binomial probability formula. This is because the problem you described is a binomial experiment - there are a fixed number of trials (n=50), each trial has only two possible outcomes (either an executive says older workers have blocked their career advancement or not), the probability of success (saying older workers have blocked their career advancement) is constant (p=0.24), and the trials are independent.

The binomial probability formula is:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k),

where:

- P(X = k) is the probability of having exactly k successes in n trials.

- n is the number of trials (in this case, 50).

- k is the number of successes (in this case, 10).

- p is the probability of success on a single trial (in this case, 0.24).

- (n choose k) is the number of ways to choose k successes out of n trials and is calculated as n! / (k! * (n-k)!), where "!" denotes the factorial function.

Plugging in the values:

P(X = 10) = (50 choose 10) * 0.24^10 * (1-0.24)^(50-10)

= (50! / (10! * (50-10)!)) * 0.24^10 * (1-0.24)^(50-10)

≈ 0.054.

This means there's approximately a 5.4% chance that if you randomly select 50 executives, exactly 10 of them will say that older workers have blocked their career advancement.

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-7}~,~\stackrel{y_2}{-7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~-7 - (-2)~~)^2 + (~~-7 - 3~~)^2} \implies d=\sqrt{(-7 +2)^2 + (-7 -3)^2} \\\\\\ d=\sqrt{( -5 )^2 + ( -10 )^2} \implies d=\sqrt{ 25 + 100 } \implies d=\sqrt{ 125 }\implies d\approx 11.18\)

Exact Distance = \(\boldsymbol{5\sqrt{5}}\) units

Approximate Distance = 11.1803 units

===================================================

Work Shown:

\((x_1,y_1) = (-2,3) \text{ and } (x_2, y_2) = (-7,-7)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-(-7))^2 + (3-(-7))^2}\\\\d = \sqrt{(-2+7)^2 + (3+7)^2}\\\\d = \sqrt{(5)^2 + (10)^2}\\\\d = \sqrt{25 + 100}\\\\d = \sqrt{125}\\\\d = \sqrt{25*5}\\\\d = \sqrt{25}*\sqrt{5}\\\\d = 5\sqrt{5}\\\\d \approx 11.1803\\\\\)

The exact distance is \(5\sqrt{5}\) units, which approximates to about 11.1803 units

I used the distance formula. Round the approximate value however your teacher instructs.

A slight alternative is to plot the two points to form a right triangle. The hypotenuse goes from (-2,3) to (-7,-7). Then use the pythagorean theorem.

You can use tools like WolframAlpha or GeoGebra to confirm the answer.