What is the slope of the line that passes through the points (-4,8) and (-14.8)?

What is it called when a columns filled with pairs of numbers that have the same ratio?

Harman [31]

The answer is A ratio table.

3 0

2 years ago

2x - 6 = 0 and 2y = 10. Find 3^x/3^y.

pshichka [43]

Answer:

$\dfrac{1}{9}$

Step-by-step explanation:

$2x - 6 = 0$

$\implies 2x = 6$

$\implies x=3$

$2y = 10$

$\implies y=5$

$\dfrac{3^x}{3^y}=\dfrac{3^3}{3^5}=\dfrac{1}{3^2}=\dfrac{1}{9}$

7 0

2 years ago

In a sample of 388 people in a certain, 22% had red hair. Find a 99% confidence interval for the proportion of people in the cou

Anit [1.1K]

Answer: (0.1658, 0.2742)

Step-by-step explanation:

Formula to find the confidence interval for population proportion is given by :-

$\hat{p}\pm z^*\sqrrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where n= sample size

z*= Critical value

$\hat{p}$ = sample proportion.

As per given , we have

Significance level : $\alpha=1-0.99=0.01$

According to z-table, Critical value for 99% confidence interval : z*=2.576

Let p be the proportion of people in the country that have red hair.

n= 388

$\hat{p}=0.22$

Now, required confidence interval for proportion of people in the country that have red hair will be :-

$0.22\pm (2.576)\sqrt{\dfrac{0.22(1-0.22)}{388}}$

$0.22\pm (2.576)\sqrt{0.000442268}$

$0.22\pm (2.576)(0.02103)$

$(0.22-0.05417328,\ 0.22+0.05417328 )=(0.16582672,\ 0.27417328)\\\\\approx(0.1658,\ 0.2742)$

The 99% confidence interval for the proportion of people in the country that have red hair= (0.1658, 0.2742)

8 0

2 years ago

Planning for the possibility that your home might get struck by lighting and catch on fire is part of a plan for ?

klemol [59]

Answer:

wake up ur family members and pets inside the house and tell them the house is on fire. exit through the part where there isn't much fire. make sure u grab 3 items that u love the most quickly. make sure someone called 911. wait till the fire truck comes and watch ur house burn to the ground

Step-by-step explanation:

make sure u don't leave anyone behind because if u do they will burn and make sure u got a phone and grab 3 items ;)

hope this helps

4 0

2 years ago

Given triangle DOG is congruent to triangle CAT, which reason could you use to prove that angle G is congruent to angle T?

quester [9]

Answer:

The correct option is;

d) CPCTC

Step-by-step explanation:

The phrase Corresponding Parts of Congruent Triangles are Congruent with the acronym CPCTC, is used as valid reasoning in the provision of a proof, after the existence of congruency between two triangles has been proven

Given that the triangles ΔDOG and ΔCAT have been proven congruent, we have that the corresponding vertices are;

Vertex D corresponds to vertex C

Vertex O corresponds to vertex A

Vertex G corresponds to vertex T

Therefore, given that ΔDOG ≅ ΔCAT, we have;

∠D ≅ ∠C by CPCTC

∠O ≅ ∠A by CPCTC

∠G ≅ ∠T by CPCTC.

3 0

2 years ago