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2 years ago

Please answer will mark brainliest thank you so much

Mathematics

1 answer:

vodka [1.7K]2 years ago

3 0

Answer:

6 $\sqrt{5}$

Step-by-step explanation:

First, we take out any factors of 180 which are squares.

The square factor 9 is most easily seen.

So, $\sqrt{180} = \sqrt{9 * 20}$ which is equal to $3\sqrt{20}$ .

Again, we can take out more factors. Notice that 4 is 2 squared and a factor of 20. So, $3 \sqrt{ 4* 5}$ which is equal to 3 × 2 × $\sqrt{5}$ , which is 6 $\sqrt{5}$ .

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An asteroid is 10^{8} miles away from earth, and it is traveling at a speed of 10^{5} miles per day.

Inessa05 [86]

Divide the distance by the speed:

10^8 / 10^5 = 10^3 days ( 1,000 days)

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3 years ago

A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so

otez555 [7]

Answer: (0.132132, 0.274368)

Step-by-step explanation:

Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

i.e. n= 123

$\hat{p}=\dfrac{25}{123}\approx0.203252$

Critical value for 95% confidence interval : $z_{\alpha/2}=1.96$

Confidence interval for population :

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

i.e. $0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}$

$0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)$

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

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4 years ago

Find the 94th term of the arithmetie sequence 25, 31, 37,...

Shkiper50 [21]

Answer:

583

Step-by-step explanation:

add 6 per every number till you get to the 94th term

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4 years ago

A tumor in a rat responds to a new radiation treatment by shrinking 5% with each treatment. How many treatments before the tumor

Nuetrik [128]

A quarter of its original size would be 25% of 100%, right? Therefore, the tumor would have to shrink 75%. If each treatment, the tumor shrinks 5% that would mean it takes 15 treatments to shrink 75 percent.

If this helped, please thank, rate, and give brainliest answer!

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3 years ago

Which graph shows the solution to the system of linear inequalities?

tangare [24]

Answer:

See below

Step-by-step explanation:

<u>Given system:</u>

y ≥ 2x + 1
y ≤ 2x – 2

The solution is the common area shaded by the inequalities.

The lines are parallel because of same slope.

Both lines are solid because of equal sign in both inequalities.

The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.

The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.

The matching graph is the second picture (or attached below) and there is no solution.

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3 years ago

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