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Iteru [2.4K]
2 years ago
9

The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the s

ale price of the scooter.
Mathematics
1 answer:
Troyanec [42]2 years ago
7 0

Answer:20%

Step-by-step explanation:

Percentage decrease=(65.50-52.40)/65.50 x 100

Percentage decrease=13.1/65.50 x 100

Percentage decrease=0.2 x 100

Percentage decrease=0.2 x100

Percentage decrease=20

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Wyatt solved the following equation:
NikAS [45]

Answer:

<u>Option B</u>

Step-by-step explanation:

The question is as following:

x+\frac{1}{2} (6x-4) =6

Step Work Justification

1 2x + 6x − 4 = 12

2 8x − 4 = 12

3 8x = 16

4 x = 2

Which of the following has all of the correct justifications Wyatt used to solve this equation?

A. Distributive property. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

C. Distributive property. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality.

D. Multiplication property of equality. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality

<u />

<u>The answer:</u>

Step Work Justification

multiply both sides by 2

1) 2x + 6x − 4 = 12 ⇒  {Multiplication property of equality}

{Combine like terms}

2) 8x − 4 = 12 ⇒

Adding 4 both sides

3) 8x = 16       ⇒ {Addition property of equality}

divide both sides by 8

4) x = 2           ⇒ {Division property of equality}

The answer is option B

(B) Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

6 0
2 years ago
An adult meerkat weighed 0.776 kilograms . this is 7.47 hectograms more than the weight of a baby meerkat . how much dose a baby
Firlakuza [10]
Let x = weight of adult meerkat, y=weight of baby meerkat, Find y.
x=0.776 kg
y+7.47hectogram=x=0.776
Since 1 hectogram = 0.1 kg,
Therefore the weight of baby meerkat is, y= 0.029 kg
7 0
2 years ago
Read 2 more answers
Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners indicated that 35% plan to
DiKsa [7]

Answer:

a) Number = 60 *0.35=21

b) Since is a left tailed test the p value would be:  

p_v =P(Z  

c) If we compare the p value obtained and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% the proportion of business owners providing holiday gifts had decreased from the 2008 level.  

We can use as smallest significance level 0.044 and we got the same conclusion.  

Step-by-step explanation:

Data given and notation  

n=60 represent the random sample taken

X represent the business owners plan to provide a holiday gift to their employees

\hat p=0.35 estimated proportion of business owners plan to provide a holiday gift to their employees

p_o=0.46 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Part a

On this case w ejust need to multiply the value of th sample size by the proportion given like this:

Number = 60 *0.35=21

2) Part b

We need to conduct a hypothesis in order to test the claim that the proportion of business owners providing holiday gifts had decreased from the 2008 level:  

Null hypothesis:p\geq 0.46  

Alternative hypothesis:p < 0.46  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

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

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.35 -0.46}{\sqrt{\frac{0.46(1-0.46)}{60}}}=-1.710  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v =P(Z  

Part c

If we compare the p value obtained and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% the proportion of business owners providing holiday gifts had decreased from the 2008 level.  

We can use as smallest significance level 0.044 and we got the same conclusion.  

8 0
2 years ago
The diagonals of the figure below represent the support beams for a patio covering.
Bas_tet [7]

Answer: B 5 and 5 square root 3

Step-by-step explanation:

3 0
2 years ago
Rewrite the expression (3a^2b^3c^5)/(8x^4y^3z)so that it has no denominator. (note: do not use a fraction line in your answer. a
Gemiola [76]
Use:

\dfrac{1}{a}=a^{-1}\\\\\dfrac{1}{a^n}=a^{-n}

\dfrac{3a^2b^3c^5}{8x^4y^3z}=3a^2b^3c^5\cdot8^{-1}x^{-4}y^{-3}z^{-1}

Answer: 3"8^-1a^2b^3c^5x^-4y^-3z^-1
5 0
2 years ago
Read 2 more answers
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