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Ket [755]
3 years ago
6

Plz help me I’m so confused 23 points plz explain it to me in sooo stuck

Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

Answer:

6. D

7. B

Step-by-step explanation:

Nancy takes a test that has two sections: essay and true/false. She scores 56 points on the essay. Each true/false question is 4 points. So x number of true/false is worth 4 points each or 4x.

Together her score will be 56 + 4x.

She wants to score more than 80 or > 80.

So her test can be represented as the inequality 56 + 4x > 80.

This is solved using inverse operations.

56 + 4x > 80

4x > 24

x > 6

This should be graphed as an open circle at 6 on the umber line pointing and shaded to the the right for numbers greater than 6.

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(a) Use the definition to find an expression for the area under the curve y = x3 from 0 to 1 as a limit. lim n→∞ n i = 1 Correct
Luba_88 [7]

Splitting up the interval of integration into n subintervals gives the partition

\left[0,\dfrac1n\right],\left[\dfrac1n,\dfrac2n\right],\ldots,\left[\dfrac{n-1}n,1\right]

Each subinterval has length \dfrac{1-0}n=\dfrac1n. The right endpoints of each subinterval follow the sequence

r_i=\dfrac in

with i=1,2,3,\ldots,n. Then the left-endpoint Riemann sum that approximates the definite integral is

\displaystyle\sum_{i=1}^n\frac{{r_i}^3}n

and taking the limit as n\to\infty gives the area exactly. We have

\displaystyle\lim_{n\to\infty}\frac1n\sum_{i=1}^n\left(\frac in\right)^3=\lim_{n\to\infty}\frac{n^2(n+1)^2}{4n^3}=\boxed{\frac14}

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3 years ago
There are four nickels, three dimes, and three quarters in your pocket. You randomly pick three coins and place them on a counte
kupik [55]

Total coins = 10 ( 4 + 3 + 3 = 10).

The probability of picking a nickel first = 4/10 = 2/5 ( 4 nickels out of 10 total).

The probability of picking a dime second = 3/9 = 1/3 ( 3 dimes out of 9 coins left).

The probability of picking the third coin as a quarter = 3/8 ( 3 quarters out of 8 coins left).

The probability of picking all three in that order = 2/5 x 1/3 x 3/8 = 1/20

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3 years ago
What is the value of y?
icang [17]
Y= 5.91 yup that’s the answer
8 0
3 years ago
In a group of 55 people, 3x+5 people like banana and x+5 people like apple. If all the people who like apple also like banana an
pishuonlain [190]

i. The number of people who like banana only is 20.

ii. The number of people who like none of the fruits is zero.

iii. The number of people who like at most one fruit is 30.

The question has to do with sets.

<h3>What is a set?</h3>

A set a collection of well ordered items

<h3>i. How to find how many people like banana only.</h3>

Since we have 55 people, 3x + 5 people like banana and x + 5 people like apple. If all the people who like apple also like banana and if 2x + 15 people like at least one of fruit then, we have that

3x + 5 + x + 5 + 2x + 15 = 55

3x + 2x + x + 5 + 5 + 15 = 55

6x + 30 = 55

6x = 55 - 25

6x = 30

x = 30/6

x = 5

Since the number of people who like banana only is 3x + 5.

So, number of people who like banana only is n = 3x + 5

= 3(5) + 5

= 15 + 5

= 20

So, the number of people who like banana only is 20.

<h3>ii. The number of people who none of the fruits.</h3>

Since from the question, a person likes at least one fruit, either banana, apple or both. No one likes none of the fruits.

So, the number of people who like none of the fruits is zero.

<h3>iii. The number of people who like at most one fruit?</h3>

To like at most one fruit, the person either likes apple or banana.

So, their sum is n = 3x + 5 + x + 5

= 4x + 10.

Since x = 5, we have n = 4x + 10.

= 4(5) + 10

= 20 + 10

= 30

So, the number of people who like at most one fruit is 30.

Learn more about sets here:

brainly.com/question/27365556

#SPJ1

7 0
2 years ago
A cube with an edge length s has a volume of 8 cubic units. What is the length of s?
GrogVix [38]

Answer:

Perimeter on one face =4× side =8

Hence the side of the cube is 2 units.

So the volume of the cube is (side)^3=(2)^3=8 cubic units

Step-by-step explanation:

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2 years ago
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