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3 years ago

Please answer number 19 thank youuu

Mathematics

1 answer:

Marina CMI [18]3 years ago

8 0

Hypotenuse Leg.

You have vertical angles so you have a hypotenuse, a leg, and an angle that is congruent.

We know that it’s not SAS because the angle is not between the two sides.

Additionally, we only have one congruent angle so it cannot be ASA.

The only theorem that meets the description is HL.

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The lengths of text messages are normally distributed with a population standard deviation of 4 characters and an unknown popula

umka21 [38]

Answer:

The answer is " $(25.32, 30.68)$ "

Step-by-step explanation:

Given:

$\bar x = 28\\\\ \sigma = 4\\\\n =26\\\\$

When $98\%$ confidence level so, the z:

$\alpha = 1 - 98\% = 1 - 0.98 = 0.2\\\\\frac{\alpha}{2} =\frac{0.02}{2} = 0.01\\\\Z_{\frac{\alpha}{2}} = Z_{0.01} = 1.645\ \ \ ( Using \ z \ table )\\\\$

$E = Z_{\frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})$

$= 1.645 \times (\frac{4}{\sqrt{26}})\\\\=2.68$

When 98% confidence interval estimate of the population mean is,

$\bar x - E < \mu < \bar x + E\\\\28 - 2.68 < \mu < 28 + 2.68\\\\25.32 < \mu < 30.68\\\\(25.32, 30.68)\\\\$

7 0

3 years ago

Jimmy and his family are on their way to visit some family friends who live 780 miles away from them based on the route they cho

sesenic [268]

It would take them another 2.5 hours. To solve this you first need to multiply 60 by 4 to get 240. Subtract 240 from 780 to get 540. Then, Multiply 65 by 6 to get 390. Subtract 390 from the remaining 540 to get 150. Divide the final 150 by 60 to get 2.5. this is the remaining time they have to go before they reach their family and friends.

6 0

4 years ago

Read 2 more answers

The function f(x) = 40(1.2)x represents the fox population of a forest x years after it was first studied. What was the original

Marina86 [1]

The original population of the foxes is when the years, $x=0$

$f(0)=40 (1.2)^{0}$
$f(0)=40$

Hence, the original population of the fox is 40

3 0

3 years ago

Consider a sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles.

Zina [86]

Answer:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

Step by Step Explanation:

Computation for the 20th, 25th, 65th, and 75th percentiles

First step is to arrange sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24 in Ascending order

Ascending order of given data

14,19,24,24,27,28,30,35

Now let Compute for the 20th, 25th, 65th, and 75th percentiles

Using this formula

I=P/100*n

Where,

n =8 given data values

Let plug in the formula

1. 20th PERCENTILE

20th PERCENTILE = (20/100) * 8

20th PERCENTILE= 1.6

20th PERCENTILE = 2 (rounded up to the nearest integer)

The 20th percentile is the 2th value in the given date that was arranged in ascending order which is 19

Therefore the 20th percentile is 19.

2. 25th PERCENTILE

25th PERCENTILE = (25/100) * 8

25th PERCENTILE= 2

To get the 25th percentile of 2 we would take the average of 2nd and 3rd value

25th PERCENTILE = (19 + 24)/2

25th PERCENTILE=43/2

25th PERCENTILE= 21.5

Therefore the 25th percentile is 21.5

3. 65th PERCENTILE

65th PERCENTILE = (65/100) * 8

65th PERCENTILE= 5.2

65th PERCENTILE= 6 (rounded up to the nearest integer)

The 65th PERCENTILE is the 6th value which is 28

Therefore 65th percentile is 28

4. 75th PERCENTILE

75th PERCENTILE = (75/100) * 8

75th PERCENTILE = 6

To get the 75th PERCENTILE of 6 we would take the average of 6th and 7th value

75th PERCENTILE = (28+30) / 2

75th PERCENTILE =58/2

75th PERCENTILE = 29

Therefore the 75th percentile is 30

Therefore the 20th, 25th, 65th, and 75th percentiles are:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

5 0

3 years ago

Hi There , Please I need your help and I hope you can help me !

never [62]

Kinetic Energy = (1/2)mv².

where m = mass in kg= 2.5 * 10⁵kg = 250000 kg, v = velocity in m/s = 3*10² m/s = 300 m/s

Kinetic Energy = (1/2)*250000*300² = 0.5 * 250000 * 300 * 300

= 1.125 × 10¹⁰ Joules.

2) Relationship between aⁿ and a⁻ⁿ

a⁻ⁿ = 1 / aⁿ

or

aⁿ = 1 / a⁻ⁿ

7 0

3 years ago