MATHEMATICS COLLEGE

Solve by graphing

y+5 = 2x
3y + 6x = -3

Answers

Answer 1
Answer:

Answer:

(1, -3)

Step-by-step explanation:

Use Desmos! It's really useful.

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Mr. Floyd, the school librarian, is ordering new keyboards and mice for all of the school's computer labs. Each keyboard costs $13.50, and each mouse costs $6.50. There are 3 computer labs in the school, and each computer lab has s computer stations.Pick all the expressions that represent how much Mr. Floyd will spend on new keyboards and mice.
Help asap !! will get branliest.​
What is the opposite of the three rational numbers.|-13| =|14| =- |42| =
Mikey bikes 12 miles in 2 hours. How many miles does Mikey bike in an hour?
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Answers

Answer:

a. f^-^1(x)=(x)/(4) +3

b. f(-9)=-48

c. f^-^1(-9)=(3)/(4)

Step-by-step explanation:

In a, the -1 means inverse of f(x). To find the inverse, you rewrite the equation in terms of x and y. You replace the x with y and y with x. Then you solve for y.

f^-^1(x)=4x-12

y=4x-12

x=4y-12

x+12=4y

(x)/(4) +3=y

f^-^1(x)=(x)/(4) +3

In b, all you have to do is plug in -9 into f(x).

f(9)=4(9)-12

f(9)=-48

In c, you plug in -9 into inverse function f.

f^-^1(-9)=(3)/(4)

You want to purchase a new car in 3 years and you anticipate the cost of the car to be $25,000. You are given an investment plan with a fixed APR of 5.3% if you make regular monthly deposits. How much should you deposit at the end of each month to reach your goal of $25,000 in 3 years?

a.$642.23

c.$648.62

b.$645.65

d.$649.13

Answers

Answer:

The answer is A: $642.23

Step-by-step explanation:

I just took the test lol

Can someone plz help me understand this

Answers

Answer:

The length of the guy wire is 17ft.

Step-by-step explanation:

c = \sqrt{a^(2)+b^(2) }

a = 15ft

b = 8ft

c = \sqrt{15^(2) + 8^(2) }

c = √(225 + 64)

c = √(289)

c = 17

The length of the guy wire is 17ft.

Answer:

17

Step-by-step explanation:

c=15×15+8×8

c=225+64

c=289=17

The time needed for all college students to complete a certain paper-and-pencil maze follows a normal distribution with a population mean of 30 seconds and a population standard deviation of 3 seconds. You wish to see if the mean time μ (where μ stands for population mean) is changed by vigorous exercise, so you have a group of nine college students exercise vigorously for 30 minutes and then complete the maze. It takes them an sample average of 31.2 seconds to complete the maze. Use this information to test the hypotheses:

H0: μ = 30,

Ha: ≠30

at the significance level of 0.01.

You conclude:


a) There is not enough evidence to support the claim.

b) There is enough evidence to support the claim.

Answers

Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu = 30\ seconds

    The standard deviation is  \sigma = 3 \ seconds

     The sample size is  n  = 9

    The null hypothesis is H_o: \mu = 30

     The alternative hypothesis is  H_a : \mu \ne 30

    The level of significance is  \alpha = 0.01

    The sample mean is  \= x = 31.2

Generally the test statistics is mathematically represented as

      z = ( \= x - \mu )/( (\sigma)/(√(n) ) )

=>   z = ( 31.2 - 30)/( (3)/(√(9) ) )

=>   z = 1.2

From the z table  the area under the normal curve to the right corresponding to  1.2  is    

         P(Z > 1.2) = 0.11507

Generally the p-value is mathematically represented as

         p-value = 2 * P(Z > 1.2)

=>       p-value = 2 *0.11507

=>       p-value = 0.230

From the value obtained w can see that

         p-value > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is there is not enough evidence to support the claim

Final answer:

To test the hypotheses, use a one-sample t-test to compare the sample mean to the population mean. Calculate the t-value and compare it to the critical t-value at the significance level of 0.01. If the calculated t-value falls within the critical region, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.

Explanation:

To test the hypotheses, we can use a one-sample t-test since we know the population standard deviation and the sample size is small. The null hypothesis (H0) is that the population mean (μ) is equal to 30 seconds, while the alternative hypothesis (Ha) is that the population mean is not equal to 30 seconds.

Using the given information, we can calculate the t-value by using the formula:

t = (sample mean - population mean) / (population standard deviation / sqrt(sample size))

Once we have the t-value, we can compare it to the critical t-value at the significance level of 0.01. If the calculated t-value falls within the critical region, we reject the null hypothesis. If not, we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim.

Learn more about Hypothesis testing here:

brainly.com/question/31665727

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I really need help I posted this question 3 times and no answers, can someone help I even put extra points and ill give brainliest <333

Answers

Answer:

In a quadrilateral ABCD, ∠A = 100°, ∠B = 105° and ∠C = 70°, find ∠D.

Solution:

Here the sum of the four angles

or, ∠A + ∠B + ∠C + ∠D = 360°

We know, ∠A = 100°, ∠B = 105° and ∠C = 70°

or, 100° + 105° + 70° + ∠D = 360°

or, 275° + ∠D = 360°

∠D = 360° - 275°

Therefore,  = 85°

i hope this was helpful. <3

crown?

(G1) The distance from Flagstaff Arizona toTucson Arizona is 260 miles. Express this
distance in meters.
A. 418,418 meters
B. 419,000 meters
C. 126,200 meters
D. 260,000 meters

Answers

Answer:

A. 418, 418

Step-by-step explanation:

The formula to convert miles to meters is the following:

1 = 1,609.34

so for every 1 mile, you have 1,609.34 meters

so you take your distance in miles and multiply it by 1,609.34

d= 260 x 1,609.34

d = 418, 428.4
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