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3 years ago

In a department store, a $40 dress marked, "save 25%." what is the discount? what is the sales price of the dress?

Mathematics

1 answer:

Bogdan [553]3 years ago

8 0

Answer:

Discount = $10

Sales Price = $30

Step-by-step explanation:

Discount

= 25% of marked price

= 25% x $40

= (25/100) x 40

= $10

Sales price = Marked price - Discount = $40 - $10 = $30

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Find the volume of a cone of radius 49cm and height 10cm

den301095 [7]

Answer:

Step-by-step explanation:

Given,

Radius ( r ) = 49 cm

Height (h) = 10 cm

Volume of cone=?

Now,

Applying the formula to find the volume of cone:

$\pi \: {r}^{2} \frac{h}{3}$

Plugging the values,

$\frac{22}{7} \times {49}^{2} \times \frac{10}{3}$

$\frac{22}{7} \times 2401 \times \frac{10}{3}$

Calculate

$25153.34 \: {cm}^{3}$

Hope this helps...

Good luck on your assignment..

3 0

3 years ago

Read 2 more answers

Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 66 times and record

steposvetlana [31]

Answer:

We should reject H0

At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

6 0

3 years ago

HELP ASAP HELP ASAP HELP ASAP HELP ASAP

Shtirlitz [24]

The equation is P= 2w + 2(w+4.1)

The width is 8.2cm

5 0

2 years ago

In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households. (a) Describe the

sattari [20]

Answer:

(a) The distribution of the sample proportion is Normal distribution.

(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.

Step-by-step explanation:

We are given that in the United States, 35% of households own a 4K television.

Suppose we take a random sample of 150 households.

<em>Let </em> $\hat p$ <em> = sample proportion of households who own a 4K television.</em>

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion of households own a 4K television = 35%

n = sample of households = 150

(a) The distribution of the sample proportion is related to the Normal distribution.

(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{ 0.50-0.35}{\sqrt{\frac{0.50(1-0.50)}{150} } }$ ) = P(Z > 3.67) = 1 - P(Z $\leq$ 3.67)

= 1 - 0.99988 = 0.00012

<em>Now, in the z table the P(Z </em> $\leq$ <em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.</em>

Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.

8 0

3 years ago

Someone please help me answer Number 14, PLEASE!

Evgen [1.6K]

Answer:

b=240

Step-by-step explanation:

We need to find b. In order to this, we must isolate b.

$-17+\frac{b}{8}=13$