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kolezko [41]
3 years ago
12

A pizza had 9/10 left before Lucas ate 4/5 of the pizza. How much pizza is left over?

Mathematics
1 answer:
Allushta [10]3 years ago
5 0

Step-by-step explanation:

always try to bring fractions you need to compare to the same denominator (bottom number).

we have 9/10 of the pizza left.

then 4/5 if the pizza are eaten.

how to compare 9/10 with 4/5 ?

by bringing 4/5 also to a fraction of 10ths.

what do I need to multiply 5 with to get 10 ?

right, 2.

since we don't want to change the overall value of the original fraction, we need to multiply both levels (numerator and denominator) by that same factor :

4/5 × 2/2 = 8/10

aha !

that we can compare with 9/10.

so, when Lucas ate 4/5 (= 8/10) of the pizza, when there was originally 9/10 left, then we have 1/10 of the pizza left.

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Banking fees have received much attention during the recent economic recession as banks look for ways to recover from the crisis
alex41 [277]

Answer:

a) The 95% confidence interval to estimate the average fee for the population is between $11.65 and $12.79

b) $0.57

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{1.86}{\sqrt{41}} = 0.57

So the answer for b) is $0.57.

The lower end of the interval is the sample mean subtracted by M. So it is 12.22 - 0.57 = $11.65

The upper end of the interval is the sample mean added to M. So it is 12.22 + 0.57 = $12.79

The 95% confidence interval to estimate the average fee for the population is between $11.65 and $12.79

6 0
3 years ago
How much do subtract from 37/6 to make 6
choli [55]
37÷6
=6.1666666667
- 0.1666666667
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4 0
3 years ago
How many times greater is the area of circle C than the area of circle A.
kicyunya [14]

Answer:

I need a picture

Step-by-step explanation:

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5 0
2 years ago
"Ten subtracted from the quotient of a number<br> and 5 is 18."
Anika [276]

Answer: n/5 - 10 = 18: this would be the equation. Your answer would be 140.

Step-by-step explanation: Let consider the number as ‘X’

Quotient of a number and 5 can be written as

                        X divided by 5

Ten subtracted from the quotient of a number and 5 can be written as

                       (X divided by 5)-10

Ten subtracted from the quotient of a number and 5 is 18 can be written as

                       (X divided by 5)-10=18

  By solving the above equation, find ‘X’

                       (X divided by 5) = 18 + 10

                    X/5=28

                       X = 28 x 5 = 140                    

                       

                   

4 0
3 years ago
1. Y=-2×+4<br> Complete the missing value in the solution to the equation (____,-2)
Ipatiy [6.2K]

Answer:

x =2

Step-by-step explanation:

y = - 2 x + 4

0 = - 2 x + 4

x = 2

6 0
3 years ago
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