Ask question

Ask question

All categories

2 years ago

4

Shakia buys a bunkbed originally priced at $119.99 at a discounted price of $71.99. What is the discounted percent? Round to the

nearest whole number. Then write an equation that relates the markdown price y to the original price x.

1 answer:

Maurinko [17]2 years ago

7 0

Answer:

the discounted percentage is 40%, saving 48$

Step-by-step explanation:

You might be interested in

An item costs $420 before tax, and the sales tax is$ 16.80 whats the sale tax rate

miss Akunina [59]

Answer:

Step-by-step explanation:

15.97

6 0

2 years ago

Have you ever been frustrated because you could not get a container of some sort to release the last bit of its contents? The ar

snow_tiger [21]

Answer:

Yes. There is enough evidence to support the claim that the remaining toothpaste is significantly is less than 10% of the advertised net content.

Step-by-step explanation:

The sample of the remaining toothpaste is: [.53, .65, .46, .50, .37].

This sample has a size n=5, a mean M=0.502 and standard deviation s=0.102.

$M=\dfrac{1}{5}\sum_{i=1}^{5}(0.53+0.65+0.46+0.5+0.37)\\\\\\ M=\dfrac{2.51}{5}=0.502$

$s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^{5}(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}\cdot [(0.53-(0.502))^2+...+(0.37-(0.502))^2]}\\\\\\s=\sqrt{\dfrac{1}{4}\cdot [(0.001)+(0.022)+(0.002)+(0)+(0.017)]}\\\\\\ s=\sqrt{\dfrac{0.04188}{4}}=\sqrt{0.01047}\\\\\\s=0.102$

The 10% of the advertised content is:

$0.10\cdot 6.0\;oz=0.6\:oz$

Hypothesis test for the population mean:

The claim is that the remaining toothpaste is significantly is less than 10% of the advertised net content.

Then, the null and alternative hypothesis are:

$H_0: \mu=0.6\\\\H_a:\mu< 0.6$

The significance level is 0.05.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.102}{\sqrt{5}}=0.046$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{0.502-0.6}{0.046}=\dfrac{-0.098}{0.046}=-2.148$

The degrees of freedom for this sample size are:

$df=n-1=5-1=4$

This test is a left-tailed test, with 4 degrees of freedom and t=-2.148, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t$

As the P-value (0.049) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the remaining toothpaste is significantly is less than 10% of the advertised net content.

7 0

3 years ago

Emanuel was charged \$32$32dollar sign, 32 for a 14\dfrac29 \text{ km}14 9 2 km14, start fraction, 2, divided by, 9, end fract

mash [69]

Answer:

The cost per kilometer was $2.25

Step-by-step explanation:

<u><em>The correct question is</em></u>

Emanuel was charged $32 for a 14 2/9 km

What was the cost per kilometer?

To find out the cost per kilometer (unit rate) divide the total cost by the total kilometers

<em>Convert mixed number to an improper fraction</em>

$14\frac{2}{9}\ km=\frac{14*9+2}{9}=\frac{128}{9}\ km$

<em>Find the unit rate</em>

$\frac{32}{\frac{128}{9}}=\frac{32*9}{128}=\$2.25\ per\ kilometer$

therefore

The cost per kilometer was $2.25

6 0

2 years ago

Read 2 more answers

Metro buses are scheduled to arrive at each stop every 30 minutes. If the time a person waits at a bus stop is uniformly distrib

Nutka1998 [239]

Answer:

The probability is $P(X > 25 ) = 1.667$

Step-by-step explanation:

From the question we are told that

The maximum wait is $b = 30 \ minutes$

The minimum wait would be $a = 0\ minutes$

Generally the probability that you will wait more than 25 minutes for a bus is mathematically represented as

$P(X > 25 )$

Now given that the time a person waits is uniformly distributed and that the maximum is 30 then we can evaluate the above probability as

$P(X > 25 ) = P(25 < X < 30 ) = \frac{30 - 25}{30 - 0}$

$P(X > 25 ) = 1.667$

4 0

2 years ago

Habib is making some scones.

sergeinik [125]

Answer:

$180^\circ C$

Step-by-step explanation:

To convert from degree Fahrenheit to Celsius, we use the formula:

$^\circ C=\dfrac{5^\circ F-160}{9}$

If Habib's recipe is to be baked at 356 degree Fahrenheit, then we substitute F=356 to obtain an equivalent value in degree Celsius.

$\text{Temperature in }^\circ C=\dfrac{5^\circ F-160}{9}\\=\dfrac{5*356-160}{9}\\=\dfrac{1780-160}{9}\\=\dfrac{1620}{9}\\\text{Temperature in }^\circ C=180^\circ C$

Habib should bake his scones at $180^\circ C$ .

6 0

2 years ago

Read 2 more answers