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miv72 [106K]
3 years ago
11

What is the sum of the two expressions -2.9a+6.8 and 4.4a-7.3

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer:

1.5a - 0.5

Step-by-step explanation:

Add like terms

4.4 - 2.9 = 1.5

7.3 - 6.8 = 0.5

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The attachment is above
Alenkasestr [34]

Answer:21

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
5. Five-eighth of a number is 15. What is the number?<br> Your answer
anygoal [31]

Answer:

I think it is 24

Step-by-step explanation:

15÷5=3

3×8=24

6 0
3 years ago
Read 2 more answers
In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S
lys-0071 [83]

Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

8 0
2 years ago
Write the equation in the form Ax + By = C. Find an equation of a line passing through the pair of points (-7,3) and (-8,-9).
Illusion [34]

Answer:

  12x -y = -87

Step-by-step explanation:

You can start with the 2-point form of the equation of a line and manipulate it to give you the standard form.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-9 -3)/(-8 -(-7))(x -(-7)) +3

  y = (-12/-1)(x +7) +3

  y = 12x +84 +3

  -12x +y = 87 . . . . . subtract the x-term

  12x -y = -87 . . . . . . make the leading coefficient positive (per standard form)

3 0
3 years ago
Can't​ really find the answer. Any help?
prisoha [69]

a) you need to convert one of the prices so both of them are in the same units and you can compare them.

im going to convert the Japanese Yen into Euros as the numbers will be smaller but you can also do it the other way.

£1 = 188 japanese yen

?? = 39856 japanese yen

divide 39856 by 188 to get £212

this means 39856 Japanese Yen is equal to £212

then convert this into euros.

£1 = €1.41

£212 = ???

calculate 212 × 1.41 which gives you €298.92

this means 39856 Japanese Yen is equal to €298.92

the phone in Spain costs €352.50

this shows that the phone in Spain is more expensive than the one in Japan.

therefore, the mobile phone in Japan is cheaper.

b) from Part A, we know that the phone in Japan is 39856 Japanese Yen, which is equal to £212.

so now we need to convert €352.50 into Pounds (£) to compare the prices.

£1 = €1.41

?? = €352.50

divide 352.50 by 1.41 to get £250.

this means the phone in Spain costs £250 as €352.50 is equal to £250.

now we know the phone in Japan is £212 (in pounds) whereas the phone in Spain is £250 (in pounds).

we need to calculate the difference by doing £250 - £212 which equals £38

therefore, the phone in Japan is cheaper than the phone in Spain by £38

7 0
3 years ago
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