Mathematics College

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Answer 1

Answer:

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Answer 2

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Related Questions

Ms. Perry spent $2000 to buy some new computer equipment. Of this money, $120 was used to
buy some new keyboards. What percent of the money was spent on keyboards?

Answers

Answer: 6%

Step-by-step explanation: Step 1: We make the assumption that 2000 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=2000$.

Step 4: In the same vein, x%=120.

Step 5: This gives us a pair of simple equations:

100%=2000(1).

x%=120(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

[tex]\frac{100\%}{x\%}=\frac{2000}{120}[/tex]

Step 7: Taking the inverse (or reciprocal) of both sides yields

[tex]\frac{x\%}{100\%}=\frac{120}{2000}[/tex]

[tex]\Rightarrow x=6\%[/tex]

Therefore, 120 is 6% of 2000$.

Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?

y = 12x - 16

y = 12x + 16

y = 16x - 12

y = 16x + 12

Answers

Answer:

the first one

Step-by-step explanation:

y-y1=m(x-x1)

y-20=12(x-3)

[tex]y-20+20=12\left(x-3\right)+20[/tex]

simplify:

[tex]y=12x-16[/tex]

Baba Yaga lost her broom somewhere between her hut and Bald Mountain, and wants to get it back. She calculates that with a tailwind of 2 km/ h, she can fly from her hut to Bald Mountain in 6 hours. Baba Yaga starts her trip, finds her broom 40 km before Bald Mountain, and turns around and flies home. The entire journey takes 9 hours. Find the speed Baba Yaga flies in quiet weather (with no tailwind or headwind).

Answers

Answer:

18 km/h

Step-by-step explanation:

Let the speed of Baba Yaga is x

The speed with tailwind: x + 2The speed with headwind: x - 2

The distance to Bald Mountain:

6(x + 2)

The distance she actually travelled is less by 40 km:

6x + 12 - 40 = 6x - 28

The time she spent:

(6x - 28)/(x+2) + (6x - 28)/(x -2) = 9

Solve for x to find the speed:

((6x + 12) - 40)/(x + 2) + ((6x - 12) - 16)/(x - 2) = 96 - 40/(x + 2) + 6 - 16/(x - 2) = 940/(x + 2) + 16/(x - 2) = 340(x - 2) + 16(x + 2) = 3(x+2)(x - 2)40x - 80 + 16x + 32 = 3x² - 123x² - 56x + 36 = 0

Solving the quadratic equation we get:

x = 18 km/h(x = 2/3 discounted as not realistic)

PLS PLS PLS HELP ME

Answers

Answer:

A) x > -5

Step-by-step explanation:

The answer is A

Hope this helps!

The National Safety Council publishes information about automobile accidents in Accident Facts. According to that document, the probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant. In eight traffic fatalities, find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

Answers

Answer:

[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]

In which x is the number of which we want to find the probability.

Step-by-step explanation:

For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.

This means that [tex]p = 0.4[/tex]

Eight traffic fatalities

This means that [tex]n = 8[/tex]

Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

This is P(X = x), in which x is the number of which we want to find the probability. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]

Based on the binomial probability principle, the probability involving the number of non-occupant is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]

Let :

Number of alcohol - impaired or non-occupant = kNumber of trials, n = 8Probability of success, p = 0.40q = 1 - p = 1 - 0.40 = 0.60

Using the binomial probability relation :

[tex] P(x = x) = nCx \times p^{x} \times q^{n-x} [/tex]

x = k

Substituting the values into the relation :

[tex] P(x = k) = nCk \times 0.40^{k} \times 0.60^{n-k} [/tex]

Hence, the required probability expression is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]

Learn more :https://brainly.com/question/23287510

how do you solve the inequality -8x is greater than 72

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Answer:

duhh

PLEASE HELP mathematics

Answers

Answer:

21+10.5 which would equal 31.5

Step-by-step explanation:

Answer:

21+10.5 which would equal 31.5

Step-by-step explanation:

Solve the exponential equation.

2-x = 16

4
1/4
-4

Answers

Answer:

-4

Step-by-step explanation:

Please and I’ll give Brain list to you

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.9 cm. a. Find the probability that an individual distance is greater than 207.50 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 193.50 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30

Answers

Answer:

a) P(X > 207.50) = 0.0808

b) P(X-bar > 193.5) = 0.7734

c) It matters only in sampling distribution when we does not know the shape of distribution.

Step-by-step explanation:

Given - The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.9 cm.

To find - a. Find the probability that an individual distance is greater than 207.50 cm.

b. Find the probability that the mean for 20 randomly selected distances is greater than 193.50 cm.

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30 ?

Proof -

Given that,

μ = 195 cm

σ = 8.9 cm

P(X > 207.50) = 1 - P(X < 207.5)

= 1 - P(Z < [tex]\frac{207.5 - 195}{8.9}[/tex] )

= 1 - P(Z < 1.4)

= 1 - 0.9192

= 0.0808

⇒P(X > 207.50) = 0.0808

n = 20

μₓ- = μ = 195

σₓ⁻ = [tex]\frac{\sigma}{\sqrt{n} }[/tex] = [tex]\frac{8.9}{\sqrt{20} }[/tex] = 1.99

Now,

P(X-bar > 193.5) = 1 - P(X-bar < 193.5)

= 1 - P(Z < [tex]\frac{193.5 - 195}{1.99}[/tex] )

= 1 - P(Z < -0.75)

= 1 - 0.2266

= 0.7734

⇒P(X-bar > 193.5) = 0.7734

Given that If the population is normally distributed , then the sample does not have to be greater than 30.

It matters only in sampling distribution when we does not know the shape of distribution.

A large factory that builds machines has three shifts, one that starts at 4:00 A.M., one that starts at noon, and one that starts at 8:00 P.M. The manager of the factory wanted to know whether there is an association between an employee’s work experience (less than five years with the company, between five and twenty years with the company, over twenty years with the company) and the time of the employee’s shift. The manager selected a random sample of 125 employees and classified employees by their shift time and work experience. What is an appropriate pair of hypotheses for the manager to use?

Answers

Answer:

if the worker has more experience, then they will have longer shifts because they will be better at their job and be able to complete more tasks.

Step-by-step explanation:

use and "if then because" structure in a hypothesis, and use common logic based on the info provided :)

Answer:

[tex]H_{0}[/tex] : Work experience is independent of the time of an employee's shift

[tex]H_{A}[/tex] : Work experience is dependent on the time of an employee's shift

Step-by-step explanation:

Since we have one population but multiple variables, so we are using a chi-square test of independence. Thus, our null should be that there is no association, and the alternative that there IS an association.

Please answer quick just super small explanation pls hurry quick for brainlessly

Answers

Answer:

A = 81

Step-by-step explanation:

When there is a number above the other. You will need to multiply it.

There is a 4 so its 4 times.

-3 x -3 = 9

9 x -3 = -27

-27 x -3 = 81

------

When you multiply a negative number by a negative number it will be a positive.

If you multiply a positive number by a negative it will be negative.

Answer:

That is a ratio. Like for every 5 blue cards there are 7 red cards, read the context and you'll be able to see the ratio.

Step-by-step explanation:

Hope this helps :)

6xq=54 what is q? PLEASE HURRY THIS IS DUE TOMORROW!!!!!!!!!

Answers

The answer to this question is 9 I hope

⚠️PLEASE HELP⚠️
What is the value of the interquartile range of the data below?
25
30
35
40
45 50

Answers

Answer:

Step-by-step explanation:

The value of the interquartile range of the data below is 5.

What is Interquartile Range?

The difference between the third and the first quartile is defined by the interquartile range. There are so three quartiles.

The first quartile, also known as the lower quartile, is marked by Q1, the second quartile by Q2, and the third quartile, sometimes known as the upper quartile, is denoted by Q3. The lower quartile less the upper quartile equals the interquartile range.

From the Plot we can write

Minimum = 27

Lower quartile = 32

Median = 36

Upper Quartile = 37

Maximum = 40

So, Interquartile range (IQR)

= Third Quartile (Q3) - First Quartile (Q1)

= 37 - 32

= 5

Learn more about IQR here:

https://brainly.com/question/16361595

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PLEASE PLEASE PLEASE!

Answers

Answer:

Step-by-step explanation:

The area of one of the four triangles is [tex]\frac{1}{2}\times 5 \times 7 = 17.5[/tex]. So together the area of all the four traingles is [tex]4\times 17.5 = 70[/tex]

The quotient of 6 and a
number (n)

Answers

Answer:

n divided by 6 (n/6)

Step-by-step explanation:

The mathematical expression for 'the quotient of 6 and a number (n)' is, 6/n or (6 ÷ n).

Used the concept of mathematical expression which can be stated that,

A mathematical expression is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that,

The algebraic expression is,

''The quotient of 6 and a number (n).''

Now, the mathematical expression for 'the quotient of 6 and a

number (n)' is,

6 ÷ n

= 6 / n

So, the mathmatical notation is 6/n.

To learn more about the divide visit:

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The true answer is 3.75

Answers

Answer:

interesting

Step-by-step explanation:

very interesting

plot two points that are seven units from point c and also share the same y coordinates as point c

ANSWER IT QUICK PLEASE.

DUE AT 3:00PM

Answers

Answer: 8 , -4 I think

Step-by-step explanation:

Answer:

The real answer is (8, -4) and (-6, -4)

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