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bekas [8.4K]
2 years ago
15

A consumer shops for a sofa. The store is having a 20% off sale on all furniture. What is the discounted, pre- tax cost of a sof

a that is originally $510?
Mathematics
1 answer:
lakkis [162]2 years ago
8 0
Answer:
The answer is 408

Explanation:
20% of 510 is 102 and 510 - 102 is 408
You might be interested in
An after school music program has 15 out of 50 students participating. Write 1550 as a decimal and as a percent. Decimal- Percen
yarga [219]

Answer:

0.3

30%

Step-by-step explanation:

To write 15/50 as a percent, you have to multiply the fraction by 100

\frac{15}{50} x 100

dividing 100 by 50 gives 2

15 x 2 = 30%

to convert 15/50 to a decimal, first simply the fraction.

Both the numerator and denominator can be divided by 5

3/10

the next step is to divide the numerator by the denominator

3/10 = 0.3

8 0
3 years ago
A genetic experiment involving peas yielded one sample of offspring consisting of 437437 green peas and 129129 yellow peas. Use
navik [9.2K]

Answer:

The null hypothesis: \mathbf{H_o: p=0.27}

The alternative hypothesis: \mathbf{H_1: p \neq 0.27}

Test statistics : z = −2.30

P-value:  = 0.02144

Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.

Conclusion: We accept the alternative hypothesis and  conclude that under the same​ circumstances the proportion of offspring peas will be yellow is not equal to 0.27

Step-by-step explanation:

From the given information:

Let's state the null and the alternative hypothesis;

Since The claim is that 27%  of the offspring peas will be yellow.

The null hypothesis state that the proportion of offspring peas will be yellow is equal to 0.27.

i.e

\mathbf{H_o: p=0.27}

The alternative hypothesis  state that the proportion of offspring peas will be yellow is not equal to 0.27

\mathbf{H_1: p \neq 0.27}

<u>The test statistics:</u>

we are given 437 green peas and 129 yellow apples;

Hence;

\hat p = \dfrac{x}{n}

where ;

\hat p = sample proportion

x = number of success

n = total number of the sample size

\hat p = \dfrac{129}{437+129}

\hat p = \dfrac{129}{566}

\mathbf{\hat p = 0.2279}

Now; the test statistics can be computed as :

z = \dfrac { \hat p -p }{\sqrt {\dfrac{p(1-p)}{n}  } }

z = \dfrac {0.2279 -0.27 }{\sqrt {\dfrac{0.27(1-0.27)}{566}  } }

z = \dfrac {-0.043 }{\sqrt {\dfrac{0.27(0.73)}{566}  } }

z = \dfrac {-0.043 }{\sqrt {\dfrac{0.1971}{566}  } }

z = \dfrac {-0.043 }{\sqrt {3.48233216*10^{-4} } }

z = \dfrac {-0.043 }{0.01866} }

z = −2.30

C. P-value

P-value = P(Z < z)

P-value = P(Z< -2.30)

By using the ​ P-value method and the normal distribution as an approximation to the binomial distribution.

from the table of standard normal distribution

move left until the first column is reached. Note the value as –2.0

move upward until the top row is reached. Note the value as 0.30

find the probability value as 0.010724 by the intersection of the row and column values gives the area to the left of

z = -2.30

P- value = 2P(z ≤ -2.30)

P-value = 2 × 0.01072

P - value = 0.02144

Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.

Conclusion: We accept the alternative hypothesis and  conclude that under the same​ circumstances the proportion of offspring peas will be yellow is not equal to 0.27

8 0
3 years ago
Is y=7x-3 have a proportional relationship
Black_prince [1.1K]

Answer:

my name is mmmmmmm

Step-by-step explanation:

hehehehe

8 0
3 years ago
What's the answer for <br> 0.2(x+50)-6=0.4(3x+20)
marin [14]
It should be x=11. could someone fact check me?

5 0
3 years ago
A 21 ounce box of luckycharms cost 3.57, what is the cost per ounce
Ipatiy [6.2K]

Answer:

17 cents per ounce

Step-by-step explanation:

3 0
3 years ago
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