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2 years ago

Find the value of z in the isosceles triangle shown below. V20 V20 8

Mathematics

1 answer:

Andrews [41]2 years ago

5 0

Answer:

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = x

b = 8/2 = 4

c = √20

plugin values into the formula:

x² + 4² = (√20)²

x² + 16 = 20

x² = 20 - 16

x = √4

x = 2

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Castel and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of

True [87]

Answer:

Plain is $7 and Holiday is $15

Step-by-step explanation:

Castel: 2p + 5h = 89

Kali: 9p + 10h = 213

Double Castel's: 4p + 10h = 178

Subtract fro Kali's 9p + 10h = 213

- 4p + 10h = 178

5p = 35

p = 7 Plain is $7

Substitute 7 into one of the equations and solve for h:

2(7) + 5h = 89

14 + 5h = 89

5h = 75

h = 15 Holiday is $15

6 0

2 years ago

Determine whether each sequence is arithmetic. If so, identify the common difference.

-Dominant- [34]

Answer:

Options 1 and 4 are arithmetic

Step-by-step explanation:

Arithmetic means that you are adding or subtracting a number in a sequence.

For option 1, we are adding 2 every time.

-3 + 2 = -1 -1 + 2 = 1 1 + 2 = 3

For option 4, we are subtracting 7 every time.

32 - 7 = 25 25 - 7 = 18 18 - 7 = 11

Option 2 is geometric. Geometric means you are multiplying or dividing by a number in a sequence.

2 * 3 = 6 6 * 3 = 18 18 * 3 = 54

Option 3 is actually quadratic. This is similar to a arithmetic, except instead, the amount added to the number is multiplied by 2 every time.

1 + 2 = 3 (2 + 2 = 4) 3 + 4 = 7 (4 + 4 = 8) 7 + 8 = 15

4 0

2 years ago

I need help fast i apperciate

Roman55 [17]

Answer:

Option d is the correct answer.

Step-by-step explanation:

tan A = 24/7

3 0

3 years ago

Read 2 more answers

Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation:

Vikentia [17]

Answer:

$\= x = 18.5$ , $\sigma = 5.15$

$15.505 < \mu < 21.495$

$14.93 < \mu < 22.069$

Step-by-step explanation:

From the question we are are told that

The sample data is 21, 14, 13, 24, 17, 22, 25, 12

The sample size is n = 8

Generally the ample mean is evaluated as

$\= x = \frac{\sum x }{n}$

$\= x = \frac{ 21 + 14 + 13 + 24 + 17 + 22+ 25 + 12 }{8}$

$\= x = 18.5$

Generally the standard deviation is mathematically evaluated as

$\sigma = \sqrt{\frac{\sum (x- \=x )^2}{n}}$

$\sigma = \sqrt{\frac{\sum ((21 - 18.5)^2 + (14-18.5)^2+ (13-18.5)^2+ (24-18.5)^2+ (17-18.5)^2+ (22-18.5)^2+ (25-18.5)^2+ (12 -18.5)^2 )}{8}}$

$\sigma = 5.15$

considering part b

Given that the confidence level is 90% then the significance level is evaluated as

$\alpha = 100-90$

$\alpha = 10\%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table the value is

$Z_{\frac{ \alpha }{2} } = 1.645$

The margin of error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E =1.645 * \frac{5.15 }{\sqrt{8} }$

=> $E = 2.995$

The 90% confidence interval is evaluated as

$\= x - E < \mu < \= x + E$

substituting values

$18.5 - 2.995 < \mu < 18.5 + 2.995$

$15.505 < \mu < 21.495$

considering part c

Given that the confidence level is 95% then the significance level is evaluated as

$\alpha = 100-95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table the value is

$Z_{\frac{ \alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E =1.96 * \frac{5.15 }{\sqrt{8} }$

=> $E = 3.569$

The 95% confidence interval is evaluated as

$\= x - E < \mu < \= x + E$

substituting values

$18.5 - 3.569 < \mu < 18.5 + 3.569$

$14.93 < \mu < 22.069$

8 0

3 years ago

5. Which point lies on the line: y - 4 = -3(x + 2)?

Karo-lina-s [1.5K]

Answer:

(- 2, 4 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = - 3(x + 2) ← is in point- slope form

with (a, b ) = (- 2, 4 )

7 0

3 years ago