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evablogger [386]
3 years ago
15

Find the value of x. Show all work.

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer and Step-by-step explanation:

Answer and Step-by-step explanation:

We are given an isosceles triangle, shown by the fact that there are two red marks on two sides, indicating that the sides are congruent in length, which means the base angles are congruent as well.

Add the angles together and equal it to 180.

34 + x + 81 + x + 81 = 180

Simplify.

115 + 2x = 180

Subtract 115 from both sides of the equation.

2x = 65

Divide both sides of the equation by 2.

x = 32.5 is the answer.

#teamtrees #PAW (Plant And Water)

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Coach Martinez will order 2 pairs of shorts and 3 shirts for each player. There are 12 members on the team. If each pair of shor
artcher [175]

Answer:

12(3y+2x)

Step-by-step explanation:

In this question, we are asked to give an expression that represents the total cost of shorts for the players.

He is ordering 2 pairs of short and 3 shirts. Hence, per player, he would be spending the following:

2 pairs of shorts at x dollars each. Cost here is just $2x

3 shirts at y per one. Cost is $3y

Per player he is spending a total of 3y + 2x

Now, there are people to cater for. The total amount to spend will now be 12(3y + 2z )

5 0
3 years ago
A sample of 114 mortgages approved during the current year showed that 36 were issued to a single-earner family or individual. T
kodGreya [7K]

Answer:

a-1) Reject H0 if zcalc > 1.645

a-2) z=\frac{0.316 -0.28}{\sqrt{\frac{0.28(1-0.28)}{114}}}=0.8561  

a-3) ii. False

b) ii. No

c) iii. n π > 10 and n(1 − π ) > 10

Step-by-step explanation:

1) Data given and notation

n=114 represent the random sample taken

X=36 represent the people that were issued to a single-earner family or individual

\hat p=\frac{36}{114}=0.316 estimated proportion of people that were issued to a single-earner family or individual

p_o=0.28 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 represent the p value (variable of interest)  

(a-1) H0: π ≤ .28 versus H1: π > .28. Choose the right option. Reject H0 if zcalc > 1.645 Reject H0 if zcalc < 1.645 a b

We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.28.:  

Null hypothesis:p\geq 0.28  

Alternative hypothesis:p < 0.28  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

The rejection zone would be on this case :

Reject H0 if zcalc > 1.645

Since is a right tailed test

(a-2) Calculate the test statistic. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.) Test statistic

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

z=\frac{0.316 -0.28}{\sqrt{\frac{0.28(1-0.28)}{114}}}=0.8561  

(a-3) The null hypothesis should be rejected.

False, since our calculated value is less than our critical value we Fails to reject the null hypothesis

(b) Is this a close decision?

False the calculated value is significantly less than the critical value so we FAIL to reject the null hypothesis with enough confidence.

(c) State any assumptions that are required.

In order to satisfy the conditions we need the following two requirements:

iii. n π > 10 and n(1 − π ) > 10

And are satisfied:

114*0.28=31.92>10

114(1-0.28)=82,08>10

7 0
3 years ago
What is 7-2c=-3 equaled to
Savatey [412]

<u>c = 5 </u>

-3 - 7 = -10

-2c = -10

-10/ -2 = c

c = 5


6 0
3 years ago
Read 2 more answers
Please help extremely confused
svetlana [45]

Answer:

basic geometry and trig ratios

Step-by-step explanation:

sin 10 = 500/x

x = 500/sin 10

x = 2 879,4 m

8 0
2 years ago
Solve the equation. Then check your solution. 5 /9 d = 9 /10 a. 31 / 90 c. 1/2 b. 1 31 /90 d. 50 /81
miskamm [114]

Answer:

d in (-oo:+oo)

(5/9)*d = 9/10 // - 9/10

(5/9)*d-(9/10) = 0

(5/9)*d-9/10 = 0

5/9*d-9/10 = 0 // + 9/10

5/9*d = 9/10 // : 5/9

d = 9/10/5/9

d = 81/50

d = 81/50

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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