MATHEMATICS
MIDDLE SCHOOL

Answer: Well if you want to simplify you can do it to ways

1 leave it how it is because you cant simplify anymore

or

2 turn it into a mixed number

first see how many times you can fit 8 into 27

8*2=16 8*3=24 8*4=32

so it is 3 times

and you have 3 left over so that goes over 8 and your simplification is 3 3/8

1 leave it how it is because you cant simplify anymore

or

2 turn it into a mixed number

first see how many times you can fit 8 into 27

8*2=16 8*3=24 8*4=32

so it is 3 times

and you have 3 left over so that goes over 8 and your simplification is 3 3/8

COLLEGE

Lucky Charms are sold in boxes with an advertised mean weight of 20.5 oz. The standard deviation is known to be 2.25 oz. A consumer group claims that the makers of Lucky Charms are cheating consumers by underfilling the boxes. They take a sample of 50 boxes and find an average weight of 20.4 oz. What is the set of hypotheses that should be used to test the accuracy of the advertised weight?

Answer:

Set of hypothesis.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 20.5 oz

Sample mean, = 20.4 oz

Sample size, n = 50

Population standard deviation, σ = 2.25 oz

First, we design the null and the alternate hypothesis

We use One-tailed z test(left tailed) to perform this hypothesis.

Formula:

Putting all the values, we have

Based on the significance level, we can make our decision and complete the hypothesis testing.

We may accept the null hypothesis or fail to accept depending on different significance level.

MIDDLE SCHOOL

In a recent poll of 2,000 households, 29% had pets. How many households did not have pets

29% had pets, to find out how many didn't, we subtract 29% from 100%

100 - 29 = 71

To turn a percentage into a decimal (multiplier) we divide by 100

71/100 = 0.71

Finally, multiply 0.71 by the original amount

0.71 x 2000 = 1420

1420 households did not have pets

100 - 29 = 71

To turn a percentage into a decimal (multiplier) we divide by 100

71/100 = 0.71

Finally, multiply 0.71 by the original amount

0.71 x 2000 = 1420

1420 households did not have pets

HIGH SCHOOL

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 2 sin^2 θ − sin θ − 1 = 0 ...?

So here is the answer to the given equation above.

To find the answer, we can just factor this one.

(2sinθ+1)(sinθ−1)=0sinθ = −1/2→θ = {−π/6 + 2kπ, 7π/6 + 2kπ}sinθ=1→θ={π/2 + 2kπ}

Hope this answers your question. Let me know if you need more help next time. Have a great day!

To find the answer, we can just factor this one.

(2sinθ+1)(sinθ−1)=0sinθ = −1/2→θ = {−π/6 + 2kπ, 7π/6 + 2kπ}sinθ=1→θ={π/2 + 2kπ}

Hope this answers your question. Let me know if you need more help next time. Have a great day!

Answer: 30°, 300° and 330°

Step-by-step explanation:

This is a quadratic equation in trigonometry format.

Given 2 sin^2 θ − sin θ − 1 = 0

Let a constant 'k' = sin θ...(1)

The equation becomes

2k²-k-1 =0

Factorizing the equation completely we have,

(2k²-2k)+(k-1) = 0

2k(k-1)+1(k-1)=0

(2k+1)(k-1)=0

2k+1=0 and k-1=0

2k = -1 and k=1

k=-1/2 and 1

Substituting the value of k into equation 1 to get θ

sin θ = 1

θ = arcsin1

θ = 90°

Similarly

sin θ = -1/2

θ = arcsin-1/2

θ = -30°

This angle is negative and falls in the 3rd and 4th quadrant

In the third quadrant, θ = 270 +30 = 300° and

in the 4th quadrant, θ = 360 - 30° = 330°

Therefore the values of θ are 30°, 300° and 330°

I hope you find this helpful?

COLLEGE

Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance. What is your conclusion? A. Cannot determine B. More seniors are going to college C. Reject H0. There is enough evidence to support the claim that the proportion of students planning to go to college is now greater than .79. D. Do not reject H0. There is not enough evidence to support the claim that the proportion of students planning to go to college is greater than .79.

Answer:

Do not reject . There is not enough evidence to support the claim that the proportion of students planning to go to college is greater than 0.79.

Step-by-step explanation:

The random sample reveals that 162/200 = 0.81 = 81% plan to attend college, so we are tempted to try and refute the 79% established by previous studies.

As the sample consists of “yes-no” answers, it can be modeled with a binomial distribution.

Now let's establish the hypothesis.

: The probability that a school senior from a certain city plan attends college after graduation is 0.79 (79%)

: The probability that a school senior from a certain city plan attends college after graduation is greater than 0.79

The binomial distribution we are going to use is the model for

where P(k,200) is the probability of getting exactly k “yes” in 200 interviews.

Since the level of significance is 5% and in the sample we got 162 “yes”, we want to show that

S = P(1,200) + P(2,200)+P(3,300)+...+P(162,200) is greater than 0.95.

If it is, then we can refute the null hypothesis and accept 0.81 as the new probability.

We can use either a cumulative binomial distribution table or the computer and we find that S=0.7807.

Since S

HIGH SCHOOL

Which digit is in the thousandths place in the number 48.5302

Answer:

Step-by-step explanation:

Answer:

the 3

Step-by-step explanation:

its the hundredth place which is the 5 then thousandths place which is the three

MIDDLE SCHOOL

C/9 - 8 = 17

Solve the equation and show all work please show steps!!

C/9 - 8 = 17

------------

Simplify

1/9c - 8 = 17

----------------

Add 8 to each side

1/9c - 8 + 8 = 17 + 8

1/9c = 25

--------------------

Multiply each side by 9

9 * 1/9c = 9 * 25

c = 225

------------

Simplify

1/9c - 8 = 17

----------------

Add 8 to each side

1/9c - 8 + 8 = 17 + 8

1/9c = 25

--------------------

Multiply each side by 9

9 * 1/9c = 9 * 25

c = 225

MIDDLE SCHOOL

HELP ME PLSSSS!! Brian and Maggie are 230 feet apart when they start walking toward one another. They are walking at the same speed, so whenever Brian travels some number of feet, Maggie travels the same number of feet. Let x represent the number of feet Brian has traveled since he started walking toward Maggie.

A: Write an expression in terms of x that represents the number of feet Brian has walked toward Maggie since they started walking.

B: Write an expression in terms of x that represents the number of feet Maggie has walked toward Brian since they started walking.

The more accurate answer seems to be option A

Because you want x to represent the number of Feet brian has traveled not the number of feet Maggie has traveled

Because you want x to represent the number of Feet brian has traveled not the number of feet Maggie has traveled

MIDDLE SCHOOL

What is the 5th term of this sequence?

Step-by-step explanation:

are you serious?

where is the complete question?

MIDDLE SCHOOL

A $260 suit is marked down by 20%. Find the sale price.

Answer:

$52

Step-by-step explanation:

you know that 10% of $260 is $26 therefor 10%+10%= 20%

and $26+26$= $52