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lana [24]
3 years ago
6

A​ student's scores on five tests are 98​, 99​, 86​, 89 and 70. What must the score be on the next test so that the average is 8

8​? Choose an equation you would use to solve the given problem
Mathematics
1 answer:
vitfil [10]3 years ago
7 0

Answer:

x = 86

Step-by-step explanation:

The average of a set of data is equal to the sum of the numbers divided by

number of the sample . In our case we have

98 , 99 , 86 , 89 , 70   and x the uknown, and we know that the average need to be 88 so

(98+99+86+89+70+x ) / 6  = 88

442 + x  = 528

x  =  528 - 442

x = 86

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1. Flight 202's arrival time is normally distributed with a mean arrival time of 4:30
Bezzdna [24]

Answer:

Step-by-step explanation:

1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min

By comparing P(0 ≤ Z ≤ 30)

P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)

Using Table

P(0 ≤ Z ≤ 1) = 0.3413

P(Z > 1) = (0.5 - 0.3413) = 0.1537

∴ P(Z > 45) = 0.1537

2)  By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)

P(Z ≤ 15 - 30/15) = P(Z ≤ -1)

Using Table

P(-1 ≤ Z ≤ 0) = 0.3413

P(Z < 1) = (0.5 - 0.3413) = 0.1587

∴ P(Z < 15) = 0.1587

3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)

P(Z ≤ 60 - 30/15) = P(Z ≤ 2)

Using Table

P(0 ≤ Z ≤ 1) = 0.4772

P(Z > 1) = (0.5 - 0.4772) = 0.0228

∴ P(Z > 60) = 0.0228

6 0
3 years ago
A bookstore has 5 boxes of 10 in each box on Monday the bookstore sold 20 books how many books remain to be sold?
AlekseyPX

Answer: 30

Step-by-step explanation: five boxes with ten each which means there's a total of 50 item if they sold 20 you would do 50 -20=30

8 0
3 years ago
boeing plans to increase its price for jetliners. with a selling price $201.5 million and a cost of $190.1 million, what was the
scoray [572]

so from 190.1 to 201.5 is 201.5 - 190.1 = 11.4.

now, if we take 190.1 as the 100%, what is 11.4 off of it in percentage?

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 190.1&100\\ 11.4&x \end{array}\implies \cfrac{190.1}{11.4}=\cfrac{100}{x}\implies 190.1x=1140 \\\\\\ x=\cfrac{1140}{190.1}\implies x\approx 5.99684

3 0
3 years ago
Read 2 more answers
.02, 0.2, ___, 20, ___, __<br> What's the pattern?
Bingel [31]
You are multiplying by 10 each time so it is:
.02, 0.2, 2, 20, 200, 2000
7 0
3 years ago
For each shape, write an algebraic expression for its perimeter - part A and B
nikitadnepr [17]

Answer:

a)  p + q + r

b)  2(a + b)

Step-by-step explanation:

The perimeter of a two-dimensional shape is the <u>distance</u> all the way around the outside.

An algebraic expression contains one or more numbers, variables, and arithmetic operations.

A variable is a symbol (usually a letter) that represents an unknown numerical value in an equation or expression.

<u>Question (a)</u>

The length of each side of the triangle is labeled p, q and r.  Therefore, the perimeter is the sum of the sides:

Perimeter = p + q + r

So the algebraic expression for the perimeter of the triangle is:

p + q + r

<u>Question (b)</u>

Not all of the sides of the shape have been labeled.  

However, note that the horizontal length labeled "a" is equal to the sum of "c" and the horizontal length with no label.

Similarly, note that the vertical length labeled "b" is equal to the sum of "d" and the vertical length with no label.

Therefore, the perimeter is twice the sum of a and b:

Perimeter = 2(a + b)

So the algebraic expression for the perimeter of the shape is:

2(a + b)

5 0
2 years ago
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