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2 years ago

Joan has 7/8 of her book left to read. If she reads ¼ each day, how many days will it take her to finish?

Mathematics

1 answer:

Kitty [74]2 years ago

6 0

Answer:

4 days

Step-by-step explanation:

first convert 1/4 to eighths

2/8=1/4

to make 2/8 equal 7/8

you have to multiply by 4 for it to be 8/8

it cant be 7/8 because that would be three and a half days and they only read 1/4 each day

so it would take 4 days to finish

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The American Management Association is studying the income of store managers in the retail industry. A random sample of 49 manag

VashaNatasha [74]

Answer:

a) The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

b) The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

Step-by-step explanation:

Question a:

We have 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 Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a p-value 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.

$M = 1.96\frac{2050}{\sqrt{49}} = 574$

The lower end of the interval is the sample mean subtracted by M. So it is 45420 - 574 = $44,846.

The upper end of the interval is the sample mean added to M. So it is 45420 + 574 = $45,994.

The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

Question b:

The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

5 0

3 years ago

Liam has $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost among the 24 of them

Semenov [28]

Answer: The required expression will be

$\frac{6000-p}{24}$

Step-by-step explanation:

Since we have given that

Amount that Liam has = $250

Amount that he and his classmates spent on present for their teacher =$p

Number of students in which $p will split = 24

According to question,

Amount that left to Liam is given by

$250-\frac{p}{24}\\\\=\frac{6000-p}{24}$

Hence, the required expression will be

$\frac{6000-p}{24}$

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3 years ago

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Find the inverse function of F(x) = 1/2x-6

DIA [1.3K]

F^-1 (x) = 2x + 12 hope it help

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3 years ago

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Find the 6th term . 16,48,144

olga55 [171]

Step-by-step explanation:

a=16

r=3

48/16=3

144/16=3

6th term

=ar^(n-1)

= 16(3)^(6-1)

=3888

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3 years ago

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konstantin123 [22]

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4 years ago