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astraxan [27]
3 years ago
9

Simplify the expression. -5a + 3b + 8a

Mathematics
1 answer:
Vinil7 [7]3 years ago
8 0
-5a + 3b + 8a = 3a + 3b
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Geometry math question no Guessing and Please show work
mrs_skeptik [129]

Hello!

As you can see,this triangle has a 97° angle, which means it is obtuse. As you can see, all of the lines are different lengths, so it is scalene.

Therefore, our answer is B) obtuse, scalene.

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6 0
3 years ago
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Write the error interval for x , where x=4.7 , truncated to 1 decimal place.
posledela

Answer:

the temperature will be -18

Step-by-step explanation:

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7 0
3 years ago
A simple random sample of 60 households in city 1 is taken. In the sample, there are 45 households that decorate their houses wi
murzikaleks [220]

Answer:

The calculated value of z = - 0.197  falls in the critical region therefore we reject the null hypothesis and conclude that  at  the 5% significance level there is significant difference in population proportions of households that decorate their houses with lights for the holidays

Step-by-step explanation:

We formulate the null and alternative hypotheses as

H0: p1= p2 there is no difference in population proportions of households that decorate their houses with lights for the holidays

against Ha : p1≠ p2  (claim)  ( two sided)

The significance level is set at ∝= 0.05

The critical value for two tailed test at alpha=0.05 is ± 1.96

or Z∝= 0.05/2= ± 1.96

The test statistic is

Z = p1-p2/√pq(1/n1 +1/n2)

p1= proportions of households  decorating in city 1  = 45/60=0.75

p2= proportions of households  decorating in city 2 = 40/50= 0.8

p = the common proportion on the assumption that the two proportion are same.

p =   \frac{n_1p_1 +n_2p_2}{n_1+n_2}

Calculating

p =60 (0.75) + 50 (0.8) / 110

p=  45+ 40/110= 85/110 = 0.772

so  q = 1-p= 1- 0.772= 0.227

Putting the values in the test statistic and calculating

z= 0.75- 0.8/ √0.772*0.227( 1/60 + 1/50)

z= -0.05/√ 0.175244 ( 110/300)

z= -0.05/0.25348

z= -0.197

The calculated value of z = - 0.197  falls in the critical region therefore we reject the null hypothesis and conclude that  at  the 5% significance level there is significant difference in population proportions of households that decorate their houses with lights for the holidays

4 0
3 years ago
If c = 13 and A = 73º, find a. Round to the nearest tenth.
marysya [2.9K]

Answer: 34

Step-by-step explanation:

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2 years ago
) Which ratios have a unit rate greater than 1? Choose ALL that apply. 9 5 miles : 6 hour 3 (7) 7 miles : hour 4 1 2 miles: 3 ho
Hitman42 [59]

I got this right, look....

Evidence:

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