Which postulate, if any can be used to prove the triangles congruent

Using the z-distribution, we have that:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Item a:

We are interested in the confidence interval for the true proportion of kids who want to be a doctor, hence the parameter of interest is the proportion of kids who want to be a doctor.

Item b:

Fifty-five of the 1000 kids want to be a doctor, hence, since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.

Item c:

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.0339[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.066[/tex]

The interval is (0.0339, 0.066).

Item d:

We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.

You can learn more about the use of the z-distribution to build a confidence interval at https://brainly.com/question/25649070

Answer:

423.2 is the length of the scale copy

Step-by-step explanation:

18.4 * 23 = 423.2 hope this helps!

Answer:

81.51

Step-by-step explanation:

So first you will want to take the percentage of the $78.00.

What we do is multiply 78.00 by 0.045

which is 4.5%

You then get $3.51

Add that to the $78.00:

78.00 + 3.51

= $81.51

Answer:

morning  =  -13°C

afternoon = 4°C

so,

x = (morning - afternoon)

I hope this helps a little bit.

Answer:

C

Step-by-step explanation:

x+x-1-1-1-1-1-1-1 = -x-x-x+1+1+1+1+1+1+1+1+1

2x-7 = -3x +9

5x - 7 = 9

5x = 16

x = 16/5

x= 3⅕

x= 3.2

Me das mas información porfavor?

Answer:

8

Step-by-step explanation:

3/5 ×2=8/10

..............

Answer:

Wednesday

Step-by-step explanation:

Friday is the day before the day before yesterday

Saturday is the day before yesterday

Sunday is yesterday

Monday is today

Tuesday is tomorrow

Wednesday is the day after tomorrow

Answer:

i cant seem to find ur anwser it seems confusing

Step-by-step explanation:

it is confusing

Answer:9/40

Step-by-step explanation:

there is no use of hupotenuse as tanA = p/b

Answer:

100

Step-by-step explanation:

y = % · x

y = 40% · 250

y = 0.40 · 250

y = 100

Answer:

Undefined, it can be 20 cm, 22 cm or any value.A triangle has no limitations for any of each three sides.

Step-by-step explanation:

How it works? The triangles have no limits on their sides, but by their angles. Each triangle sums 180 degrees at the inner angles. If you don't have specific values for the angles it is not necessary to get some values for the third side. It could be 1, 2, .... or even 1000.

Question:

1 + 1 = ? help now please asap!

Answer:

1 + 1 = 2

hope this helps :)

Answer:

B.

Step-by-step explanation:

I think B is the answer.......

Step-by-step explanation:

60x60+32x32=4624

✓4624

68

Answer:

4.5 hours

Step-by-step explanation:

to find the average/middle (how long it would take them when working together) you add both numbers and divide by two

4+5=9

9÷2= 4.5

hope this helps chu <3

The time take by them to the job together is 5 hours.

Time Taken = 1 / Rate of Work If a piece of work is done in x number of days, then the work done in one day = 1/x Total Wok Done = Number of Days × Efficiency.

Efficiency and Time are inversely proportional to each other.

Given that, Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.

We need to find the time taken by them if they work together,

So, the total hours taken by Sheila = 5 hours

So, she will do the work in 1 hour = 1/5 parts

Similarly, for David also, he will do in 1 hour = 1/4

Now, when they are working together in hour = 1/4 + 1/5

= 4+5 / 45 = 9/45 = 1/5

Since, there work in 1 hour = 1/5 units

That mean, they will do the whole work in 5 hours.

Hence, the time take by them to the job together is 5 hours.

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Answer: $ 97.5

Step-by-step explanation:

156 * 1/6 = 26

156-26=130

130 * 1/4- 32.5

130-32.4= 97.5

Answer:  79 and 14

X would be -3 because (2 x -3 + 85) is 79 and doing it for (5x + 29) would get 14.

1

Step-by-step explanation:

i am very beautiful yes i know it

Answer: B. $3,119.52

Tommy will need to pay 4.75%. FICA is 7.65%. Tommy's net pay of $3,119.52.

At his after-school job, Tommy grossed $4,020 for the year. Based on his income level, the federal tax rate he'll need to pay is 10%. For his state taxes.

The federal income tax is a tax on annual earnings for individuals, businesses, and other legal entities. All wages, salaries, cash gifts from employers, business income, tips, gambling income, bonuses, and unemployment benefits are subject to a federal income tax.

Tommy will need to pay 4.75%. FICA is 7.65%.

Tommy's net pay of $3,119.52.

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Answer:

one jar of pickles is $1.50, 49-47.50 =1.50

Step-by-step explanation:

Answer:

51.92 square inches

Step-by-step explanation:

Area of a circle = (pi)(r^2)

if the diameter is 7, the radius is 3.5

A = 3.14 x 3.5

A = 10.99 cm^2 for one cookie

10.99 x 12 for a dozen = 131.88 cm^2

converting cm to inches, you divide by 2.54

131.88/2.54 = 51.92 square inches.

LMK if you have questions.

Answer:

60,700,000

Step-by-step explanation:

⇒10⁷ = 10000000

∴6.07 x10000000

=60,700,000

Answer:

axis of symmetry is x = 1; vertex is (1,8)

Answer:

y = (1/2)^x-3 + 1

Step-by-step explanation:

The correct expression of the given graph is y = [tex](1/2)^{x - 3} + 1[/tex]

A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix). The issue of parabola is intertwined with the topic of conic sections, and all of its principles are discussed here.

In the given figure,

The curve represent the parabola

Since the curve is passing through

(0,9) from the Y axis and touches x axis at infinity

Now we can use hit and trial method to find the exact equation

So we plot the figure one by one

Hence,

we get the correct equation,

y = [tex](1/2)^{x - 3} + 1[/tex]

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The question is incomplete:

Sasha buys bagels for her garage sale customers she buys all the chocolate chip bagels and half of the plain bagels each bagel cost 2.50 how much does Sasha spend on bagels? The table that shows the types of bagels sold at the bagel shop on Friday is attached.

a. $70

b. $20

c. $90

d. $110

Answer:

c. $90

Step-by-step explanation:

First, you need to find the amount of bagels that Sasha purchased. The statement indicates that she buys all the chocolate chip bagels and the table shows that 28 chocolate chips bagels were sold, so that's the amount she purchased of this type of bagels. Also, the statement indicates that she buys half of the plain bagels and the table says that 16 plain bagels were sold, so you have to divide this amount by 2:

16/2=8

Then, you have to add the amount of chocolate chips bagels plus the amount of plain bagels that Sasha purchased:

28+8=36

Now that you know the amount of bagels that Sasha purchased, you have to multiply this for 2.50 that is the price per bagel:

36*2.50=90

According to this, the answer is that Sasha spends $90 on bagels.