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3 years ago

1.50 and 5.88 How much less does one can of soda cost when you buy it in a 6 pack?

Mathematics

1 answer:

NemiM [27]3 years ago

4 0

Answer:

$4.38

Step-by-step explanation:

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Simplify x 1/3(x1/2+2x²

tigry1 [53]

Answer:

$x^{\frac{5}{6} } +2x^\frac{7}{3}$

Step-by-step explanation:

1. x^1/3(x^1/2) = $x^{\frac{5}{6} }$

2. x^1/3(2x^2) = $2x^\frac{7}{3}$

3. = $x^{\frac{5}{6} }$ + $2x^\frac{7}{3}$

4 0

2 years ago

How many women must be randomly selected to estimate the mean weight of women in one age group? We want 90% confidence that the

ki77a [65]

Answer:

155 women must be randomly selected.

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:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

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 pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

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.

The population standard deviation is known to be 28 lbs.

This means that $\sigma = 28$

We want 90% confidence that the sample mean is within 3.7 lbs of the populations mean. How many women must be sampled?

This is n for which M = 3.7. So

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

$3.7 = 1.645\frac{28}{\sqrt{n}}$

$3.7\sqrt{n} = 1.645*28$

$\sqrt{n} = \frac{1.645*28}{3.7}$

$(\sqrt{n})^2 = (\frac{1.645*28}{3.7})^2$

$n = 154.97$

Rounding up:

155 women must be randomly selected.

4 0

3 years ago

In how many ways can five basketball players be placed in three positions?

Georgia [21]

Answer:

10 ways

Step-by-step explanation:

The number of ways in which five basketball players could be placed in three positions is:

5 $C_{3}$ = $\frac{5!}{(5-3)!3!}$

= $\frac{5!}{3!2!}$

= $\frac{5*4*3*2!}{3*2*2!}$

= 5 × 2

= 10

The basketball players can be arranged in 10 ways.

4 0

3 years ago

PLEASE HELP AND PLEASE SHOW YOUR WORKING

professor190 [17]

Answer:

S = 13 - x

T = (18 + x) / 2

Step-by-step explanation:

S = 18

T= 18

Sue gives away x, so subtract it from 18. But Tony gets x, so add it to 18 in his expression.

S = 18 - x

T= 18 + x

Sue eats 5 so subtract 5 from her expression. Tony eats half, so divide his expression by 2.

S = 18 - x - 5

T = 18 + x / 2

Simplify 18-5.

S = 13 - x

T = (18 + x) / 2

6 0

2 years ago

there are 90 girls in third year, 25 of whom Study biology what percentage of third year girls study biology

Shtirlitz [24]

Answer:

27.7% of third year girls study biology

5 0

1 year ago