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3 years ago

Examine the table below showing the merchandising sales and answer the questions that follow.

Mathematics

1 answer:

-BARSIC- [3]3 years ago

6 0

Answer:

The mean amount spent = £14.80

The modal product is hoodies.

Step-by-step explanation:

Here

25 T shirts each costing £10 were purchased

Amount spent on T shirts = 25 × 10 = £250

30 key ring of £5 were purchased

Amount spent on key ring = 30 × 5 = £150

40 Hoodies for £25 each

Amount spent on Hoodies = 40 × 25 =£1000

30 CD's for £15 each

Amount spent on CD's = 30 ×15 = £450

Total amount spent = 250 +150 + 1000 + 450 = £1850

Total items purchased = 25 + 30 + 40 + 30 = 125

Mean amount spent = $\frac{1850}{125}= 14.80$

The modal product is Hoodies as the maximum number of hoodies were purchased.

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f a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8%, can we use the Normal a

Troyanec [42]

Answer:

Probability of at least 50 obese individuals in our sample is 0.92364 .

Step-by-step explanation:

We are given that a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8% .

Let X = Number of obese individuals

Firstly, X ~ $Binom(n=300,p=0.198)$

For approximating binomial distribution into normal distribution, firstly we have to calculate $\mu$ and $\sigma^{2}$ .

Mean of Normal distribution, $\mu$ = n * p = 300 * 0.198 = 59.4

Variance of Normal distribution, $\sigma^{2}$ = n * p * (1-p) = 300 *0.198 *0.802 = 47.64

So, now X ~ N( $\mu = 59.4 , \sigma^{2} = 47.64$ )

The standard normal z score distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

So, probability of at least 50 obese individuals in our sample = P(X >= 50)

P(X >= 50) = P(X > 49.5) {using continuity correction}

P(X > 49.5) = P( $\frac{X-\mu}{\sigma}$ > $\frac{49.5 - 59.4}{6.9}$ ) = P(Z > -1.43) = P(Z < 1.43) = 0.92364

Therefore, required probability is 0.92364 .

8 0

3 years ago

Use the distributive property to remove the parenthesis (x+7)8

dimaraw [331]

8x+56

8(x)+8(7)= 8x+56

5 0

3 years ago

Read 2 more answers

A number cube was rolled as part of an experiment. The results are shown in the table. Explain how to find the experimental prob

pychu [463]

The experimental probability of rolling a 6 is 9/60 which can be determined by dividing the frequency of the observation 6 with the total frequency of the experiment.

Step-by-step explanation:

Experimental probability is different from theoretical probability because the former is obtained by experimentation while the latter is what we expect theoretically.When we take a number of observations, the experimental probability and theoretical probability need not be the same.

In this question we have to determine the experimental probability of 6. It can be determined by dividing the frequency of the observation 6 by the total frequency of the experiment.

frequency of 6=9

total frequency=frequency of 1+frequency of 2+frequency of 3+frequency of 4+frequency of 5+frequency of 6

=13+11+9+8+10+9

=60

P(6)=frequency of 6/total frequency

=9/60

4 0

3 years ago

Read 2 more answers

Simplify. x/4x+x^2

djyliett [7]

$\bf \cfrac{x}{4x+x^2}\implies \cfrac{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(4+x)}\implies \cfrac{1}{4+x}\qquad \{x|x\in \mathbb{R}, x\ne -4\}$

if you're wondering about the restriction of x ≠ -4, is due to that would make the fraction with a denominator of 0 and thus undefined.

3 0

3 years ago

A + b = dr, solve for a

AURORKA [14]

Hey there!

Since we don't have values for b, d, and r, we can't get a specific number for the value of a, if that makes sense. It'll be represented by these variables.

To solve, we need to make sure the equation looks like a = ? .

Subtract b from each side of the equation.

a = dr - b

Now we have solved for a.

Hope this helps!

6 0

3 years ago