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rodikova [14]
3 years ago
15

1. For each expression, use the distributive property to write an equivalent expression.

Mathematics
1 answer:
slavikrds [6]3 years ago
6 0

Answer:

a. 4x+8

c. 8x+12

d. 6x+6y+6z

b. 6x+8x

Step-by-step explanation:

The distributive property means that the term on the outside of the parentheses can be multiplied by each term on the inside. Take question C for example. You have to multiply 4 by 2x to get 8x, but also multiply 4 by 3 to get 12. These two terms are then connected by the addition as seen within the parentheses, which gives you 8x+12.

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Which expression are equivalent to the one below? Check all that apply. Log5 5+log5 125
Sphinxa [80]

Answer:

B. 4

C. Log₅ 625

Step-by-step explanation:

When given the sum of two logarithms to the same base, let us say

LogₐB +LogₐC, Then, the sum is equivalent to Logₐ(B×C)

=Logₐ BC

The sum given in the question is Log₅5 + Log₅125

This is equivalent to Log₅(5×125)=Log₅625

Log₅625=4 (Since 625=5⁴, the log of 625 to base 5 is 4)

5 0
4 years ago
Read 2 more answers
In a 2008 survey, people were asked their opinions on astrology— whether it was very scientific, somewhat scientific, or not at
crimeas [40]

Answer:

95% Confidence interval:  (0.0415,0.0647)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1430

Number of people who responded that astrology was very scientific, x = 76

\hat{p} = \dfrac{x}{n} = \dfrac{76}{1430} = 0.0531

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.0531\pm 1.96(\sqrt{\dfrac{0.0531(1-0.0531)}{1430}})\\\\ = 0.0531\pm 0.0116\\=(0.0415,0.0647)

95% confidence interval for the population portion with this belief: (0.0415,0.0647)

7 0
3 years ago
A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times. How
nekit [7.7K]

Answer:

The frequency is 3 more than expected.

7 0
3 years ago
In a purse there are 30 coins, twenty one-rupee and remaining 50-paise coins. Eleven coins are picked simultaneously at random a
Masteriza [31]
The solution to the answer is as follows:


<span>0votes</span><span>answered <span>Aug 8, 2015 </span><span><span>by </span>Shashi Kumar Evangelist <span>(3,082<span> points)</span></span></span></span><span>total coins 30
1 rupee coins 20
50 paise coins 10

1 rupee coin probability 20C11
11 coin are picked 30C11
<span>ans should be = 20C11/30C11 = 2/3</span></span>
I hope my answer has come to your help. God bless and have a nice day ahead!
7 0
4 years ago
Find the range of the data.
Cloud [144]

Answer:

8

Step-by-step explanation:

Range is found by taking the largest number and subtracting the smallest number

The largest number is 9

The smallest number is 1

9-1 =8

The range is 8

3 0
3 years ago
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