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3 years ago

I WILL GIVE BRAINIEST

Mathematics

2 answers:

a_sh-v [17]3 years ago

7 0

Expand the bracket firsr by multiplying everything in the bracket by - 5 and you now have 3-10x-5<10, which simplifies to -2-10x<10
Bring - 2 over to the other side by adding 2 on both sides and now you have -10x<12. Now simply divide both sides by -10 to isolate x and you get x<-1.2, or x<-6/5 as a fraction

yaroslaw [1]3 years ago

3 0

3 - 5(2x + 1) ≤ 10
3 - 10x - 5 ≤ 10
-10x - 2 ≤ 10
+2 +2
___________
-10x ≤ 12
Divide -10 on both sides.
x ≤ 12/-10
x ≤ -1.2
-1.2 into a fraction is -6/5.
x ≤ -1.2 or x ≤ -6/5

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Find the area of the figure.

Alenkinab [10]

Answer:

24 units

Step-by-step explanation:

In this problem, the area of this shape is measured in units.

1 unit = 1 little square

So, lets count all of the full squares. There are 20 of them.

Now lets count all of the half squares. There are 8 half squares.

Now, if we divide 8 over 2, we get 4 full units.

Now we just add up the units: 20 + 4 = 24 units

Hope this helps!

6 0

3 years ago

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Is he square root of -144 rational or irrational?

gladu [14]

Answer:

Step-by-step explanation:

Neither.

It is a complex number. The - sign is the culprit. sqrt(-144) = i * sqrt(144) = 12 i

The "i" is an imaginary representation for the square root of -1. It is a definition for sqrt(-1). So a new category of number has been created. The ancients would have been profoundly surprised to learn that such a thing existed.

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3 years ago

Simplify 30x³÷45xy²

Mariulka [41]

Answer:

$30 {x}^{3} \div 45x {y}^{2} = \\ 6 {x}^{2} \div 9 {y}^{2} = \\ 2 {x}^{2} \div 3 {y}^{2} = \\( 2 \div 3) \times (x \div y) ^{2}$

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3 years ago

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41 % of the viewing audience in the a

ZanzabumX [31]

Answer:

1) Null hypothesis: $p\geq 0.41$

Alternative hypothesis: $p < 0.41$

2) $\hat p=0.36$ estimated proportion of people indicated that they watch the late evening news on this local CBS station

3) $z_{crit}=-2.33$

And we can use the following excel code to find it: "=NORM.INV(0.01,0,1)"

4) $z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{1000}}}=-1.017$

5) $z_{crit}=-1.28$

And we can use the following excel code to find it: "=NORM.INV(0.1,0,1)"

6) We see that $|t_{calculated}|$ so then we have enough evidence to FAIL to reject the null hypothesis at 1% of significance.

7) Null hypothesis: $p\geq 0.41$

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

X represent the people indicated that they watch the late evening news on this local CBS station

$\hat p=0.36$ estimated proportion of people indicated that they watch the late evening news on this local CBS station

$p_o=0.41$ 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)

$p_v{/tex} represent the p value (variable of interest) Part 1We need to conduct a hypothesis in order to test the claim that 11:00 PM newscast reaches 41 % of the viewing audience in the area: Null hypothesis:[tex]p\geq 0.41$

Alternative hypothesis: $p < 0.41$

Part 2

$\hat p=0.36$ estimated proportion of people indicated that they watch the late evening news on this local CBS station

Part 3

Since we have a left tailed test we need to see in the normal standard distribution a value that accumulates 0.01 of the area on the left and on this case this value is :

$z_{crit}=-2.33$

And we can use the following excel code to find it: "=NORM.INV(0.01,0,1)"

Part 4

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)

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

$z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{1000}}}=-1.017$

Part 5

Since we have a left tailed test we need to see in the normal standard distribution a value that accumulates 0.1 of the area on the left and on this case this value is :

$z_{crit}=-1.28$

And we can use the following excel code to find it: "=NORM.INV(0.1,0,1)"

Part 6

We see that $|t_{calculated}|$ so then we have enough evidence to FAIL to reject the null hypothesis at 1% of significance.

Part 7

Null hypothesis: $p\geq 0.41$

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3 years ago

36 points! Find the perimeter of the trapezoid shown below

ivanzaharov [21]

Add all the sides together
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3 years ago

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