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3 years ago

Plz help ASAP!!!!!!! I will mark brainliest!!!!!

Mathematics

1 answer:

Arturiano [62]3 years ago

6 0

blank 2 will be

Statement Reason

RS≅ST Definition of Midpoint

blank 4 will be:

Statement Reason

RS≅XY Transitive Property of Convergence

Step-by-step explanation:

We need to fill the blanks in the table.

In blank 2 we will get:

If S is midpoint of RS, it means it has divided the line segment RS into 2 equal parts. So, blank 2 will be

Statement Reason

RS≅ST Definition of Midpoint

In blank 4 we will get:

We are given:

ST≅XY

and RS≅ST

So, using transitive property of convergence we get

if A≅B and B≅C then A≅C

In our case,

RS≅XY

So, blank 4 will be:

Statement Reason

RS≅XY Transitive Property of Convergence

Keywords: Midpoint of line segment

Learn more about Midpoint of line segment at:

#learnwithBrainly

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Let n1equals50, Upper X 1equals30, n2equals50, and Upper X 2equals10. Complete parts (a) and (b) below. a. At the 0.05 leve

Viefleur [7K]

Answer:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

$z=\frac{0.6-0.2}{\sqrt{0.4(1-0.4)(\frac{1}{50}+\frac{1}{50})}}=4.082$

$p_v =2*P(Z>4.082)=4.46x10^{-5}$

So the p value is a very low value and using any significance level for example $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion 1 is significantly different from proportion 2.

Step-by-step explanation:

1) Data given and notation

$X_{1}=30$ represent the number of people with a characteristic in 1

$X_{2}=10$ represent the number of people with a characteristic in 2

$n_{1}=50$ sample of 1 selected

$n_{2}=50$ sample of 2 selected

$p_{1}=\frac{30}{50}=0.6$ represent the proportion of people with a characteristic in 1

$p_{2}=\frac{10}{50}=0.2$ represent the proportion of people with a characteristic in 2

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportion 1 is different from proportion 2 , the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{30+10}{50+50}=0.4$

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.6-0.2}{\sqrt{0.4(1-0.4)(\frac{1}{50}+\frac{1}{50})}}=4.082$

4) Statistical decision

For this case we don't have a significance level provided $\alpha$ , but we can calculate the p value for this test.

Since is a two sided test the p value would be:

$p_v =2*P(Z>4.082)=4.46x10^{-5}$

3 0

3 years ago

Does anyone know how to solve this problem?

marissa [1.9K]

7? Is seems that the 4 is being added with +2 when it got bigger so I’m thinking the 5 would be the same thing +2 equals 7..that’s what I’m thinking

8 0

3 years ago

Need help on these question

hoa [83]

* D'C'

* 90

* C (10, -5)

6 0

3 years ago

Population Growth The population of a town of 5000

Nesterboy [21]

Answer:

a) $A=5000{(1.03)}^{t}$

b) 5464 inhabitants.

Step-by-step explanation:

The formula used for compound interest becomes very helpful in this case.

$A=P{(1+r)}^{t}\\\\When:\\A = Final Value\\P = Initial Value\\r = Rate of Change (Decimal)\\t = Time (Years)$

Knowing this, we can easily calculate the value for any year, counting from the original 5000.

From this formula, we can derive a specific one that will serve for any value of <em>t</em>.

$A=5000{(1+0.03)}^{t}\\A=5000{(1.03)}^{t}$

b) Apply the formula:

$A=5000{(1.03)}^{3}\\A=5000(1.092727)\\A=5463.635=5464$

The town will have 5464 inhabitants.

5 0

4 years ago

F(t)=8.50(1.15)^3 (the 3 means to the third powers). This in my test I'm taking right now, please yall I need someone one to sol

Vinil7 [7]

Answer:

12.9

Step-by-step explanation:

Given data

Give the expression

F(t)=8.50(1.15)^3

Let us solve the term in the bracket

F(t)=8.50*1.520875

F(t)=12.9

Hence the final answer is 12.9

4 0

3 years ago