MATHEMATICS HIGH SCHOOL

What is percent of increase from 15 to 60?​

Answers

Answer 1
Answer:

Answer: 300 percent

Step-by-step explanation:

Where: 15 is the old value and 60 is the new value. In this case we have a positive change (increase) of 300 percent because the new value is greater than the old value.
Answer 2
Answer:

Answer:

400%

Step-by-step explanation:

60/15 = 4

4 * 100 = 400 %

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What is the difference in simplest form? (n^2+10n+21/n^2+3n-28)-(3n/n-4)

Answers

Answer:

(3-2n)/(n-4)

Step-by-step explanation:

We have been given the expression

(n^2+10n+21)/(n^2+3n-28)-(3n)/(n-4)

Let us write the numerator and denominator of first expression in factored form using AC method.

n^2+10n+21\n=n^2+7n+3n+21\nn(n+7)+3(n+7)\n(n+7)(n+3)

And the factors of denominator is

n^2+3n-28\n=n^2+7n-4n-28\nn(n+7)-4(n+7)\n(n+7)(n-4)

Therefore, the expression becomes

((n+7)(n+3))/((n+7)(n-4))-(3n)/(n-4)\n\n\text{Cancel the common terms}\n\n(n+3)/(n-4)-(3n)/(n-4)\n\n\text{Denominator of both rational expression is same}\n\text{hence, we can directly add the numerators}\n\n(n+3-3n)/(n-4)\n\n(3-2n)/(n-4)

Thus, the simplified form is (3-2n)/(n-4)

The answer is (-2n+3)/(n-4)

18x^3 + 12x^2 - 3x) / 6x^2

Answers

Hi There

(18x^3+12x^2-3x)/6x^2

= ( 18x^2+12x-3)/6x

= (6x^2+4x-1)/2x

I hope that's help !

A basketball player is shooting free throws blindfolded. He shoots in groups of 4 shots. Assume that it is equally likely that he will hit or miss a shot. Design and do a simulation to determine the probability that he will hit at least 75% of his shots within the groups. (Hint: Use coins.)

Answers

Let H represent hit and M represent miss, Then sample space

MMMM, MMMH, MMHM, MHMM, HMMM, MMHH, MHMH, HMMH, MHHM, HMHM, HHMM, MHHH, HMHH, HHMH, HHHM, HHHH

He hit at least 75% in 5 occasions.

Therefore, P(hit at least 75%) = 5/16

Answer:

Use 4 coins. Let heads = hit and tails = miss. Toss each coin and record the results in a table. Coin 1Coin 2Coin3Coin 4Set 1HHHHSet 2HTHHSet 3HHTHSet 4THTTSet 5

Repeat the coin tosses until you have recorded 50 sets of 4 tosses each. b. Count the successful outcomes—those with three or four heads. Coin 1Coin 2Coin3Coin 4SuccessSet 1HHHHxSet 2HTHHxSet 3HHTHxSet 4THTTSet 5

Step-by-step explanation:

A chocolate factory produces mints that weigh 10 grams apiece. The standard deviation of the weight of a box of 10 mints is 3 grams. You buy a box of mints that weighs 95 grams. What is your confidence that the box you bought did not come from the factory?A 90%
B 95%
C 10%
D 5%

Answers

Answer:  Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Population Mean weight (\mu)= 10 grams a piece

Standard deviation of the weight of a box = 3 grams

Number of mints = 10

We need to buy a box of mints that weighs 95 grams.

Sample mean is given by

x=(95)/(10)=9.5\ grams

First we find out the standard error which is given by

s=(\sigma)/(√(n))\n\n=(3)/(√(10))\n\n=0.94868

Since it is normal distribution, so, we will find z-score.

z=(x-\mu)/(s)\n\nz=(9.5-10)/(0.94868)\n\nz=-0.527\n\nz=-0.53

The area to the left of a z-score of -0.53 = 0.29805.

So, it may be 90% or 95 % confidence.

For 95% confidence level,

\alpha=(1-0.95)/(2)=0.025

Similarly,

For 90% confidence level,

\alpha=(1-0.90)/(2)=0.05

We have little confidence that the box he bought did not come from the factory. that is much smaller than 0.05.

So, it is safe to assume 90% confidence.

So, we will get 90% confidence, critical value = 1.645

Margin of error is given by

(Standard\ deviation)* (critical\ value)\n\n=0.94868* 1.645\n\n=1.56

So, confidence interval will be

(10-1.56,10+1.56)

=(8.44,11.56)

Hence, Option 'A' is correct.
The right answer for the question that is being asked and shown above is that: "C 10%." A chocolate factory produces mints that weigh 10 grams apiece. The standard deviation of the weight of a box of 10 mints is 3 grams. You buy a box of mints that weighs 95 grams. 

I need the coordinates for these

3x-2y=2

5x=5y+10

Answers

Answer:

solution is (-2, -4)

Step-by-step explanation:

I assume you want the solution?

so we want to find the intersection.

3x -  2y  = 2

5x = 5y + 10

simplify the last equation

x = y + 2  by dividing out the 5

substitute

3*(y + 2) - 2y = 2

3y + 6 - 2y = 2

y  + 6 = 2

y = -4

x  = -4 + 2 = -2

solution is (-2, -4)

What are the next three numbers 1, -5, 25, -125,

Answers

If you would like to know the following three numbers, you can do this using the following steps:

1, -5, 25, -125, x, y, z
1 * (-5) = -5
-5 * (-5) = 25
25 * (-5) = -125
x = -125 * (-5) = 625
y = 625 * (-5) = -3125
z = -3125 * (-5) = 15625

The correct result would be 625, -3125, and 15625.
It be 625, -3,125 and 15,625
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