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Artyom0805 [142]
3 years ago
13

Which property best justifies why the two expressions below are equivalent? 3(m + 5) = 3m + 15

Mathematics
2 answers:
fgiga [73]3 years ago
8 0
Distributive property
malfutka [58]3 years ago
4 0
The distribution property is the best justification.
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HELPPPPPPPPPPPPPPPPPPPPPPPPP
kenny6666 [7]

Answer:

<em>$528</em>

Step-by-step explanation:

A. Calculating The Markdown Price

X=Markdown price

Original price: $600

Markdown rate: 20%

100%-20%=80%

The TV's price is now 80% of what it originally was.

\frac{x}{600} =\frac{80}{100\\}

100x=48000

x=480

The price of the TV after being marked down is $480.

B. Calculating The Sales Tax

Y=Total sales tax

TV price: $480

Sales tax: 10% or 0.1

y=480*0.1

y=48

The total sales tax is $48

C. Calculating Your Total

x+y=total

480+48=total

total=528

You in total pay $528 for the TV.

4 0
3 years ago
If correct I’ll give brainlist
Pavel [41]

\frac{2}{3}

3 0
3 years ago
Read 2 more answers
What logarithmic equation is equivalent to 3^2=9
erik [133]
Log3 9=2

Explanation:
logo a= n <—> a = b^n

—-> 3^2 = 9 —> log3 9= 2
8 0
3 years ago
Q 4.19: To verify whether there are negative consequences of taking a new type of medicine, 3000 tests were conducted. Assume th
tiny-mole [99]

Answer:

The p-value obtained is less than the significance level at which the test was performed at, hence, we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Step-by-step explanation:

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that the new medicine has no negative effects and the alternative hypothesis is that the new medicine is potentially harmful

Mathematically,

The null hypothesis is represented as

H₀: p = 0

The alternative hypothesis is represented as

Hₐ: p > 0

To do this test, we will use the z-distribution because although no information on the population standard deviation is known, the sample size is large enough.

So, we compute the test statistic

z = (x - μ)/σₓ

x = sample proportion = (31/3000) = 0.0103

μ = p₀ = 0

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 3000

σₓ = √[0.0103×0.9897/3000] = 0.0018462936 = 0.0018463

z = (0.0103 - 0) ÷ 0.0018463

z = 5.60

checking the tables for the p-value of this test statistic

Significance level = 1% = 0.01

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for z = 5.60, at 0.01 significance level, with a one tailed condition) = < 0.00001

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.01

p-value = < 0.00001

p-value < 0.00001 < 0.10

Hence,

p-value < significance level

This means that we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Hope this Helps!!!

6 0
3 years ago
A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of eac
serious [3.7K]
Give me brainkiser to  answer

5 0
3 years ago
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