12 points

Solve this problem and show the steps please because I’m so confused

marishachu [46]

Answer:

= 12

Step-by-step explanation:

{ 3 × $3^{2}$ - 3 } -3 × 4

Solve the brackets first

{3 × 9 - 3 } -3 × 4

{ 27 -3 } -3 × 4

24 - 3 × 4

24 - 12

= 12

6 0

3 years ago

Guys pls help me in this coz im very confused in this

NARA [144]

Answer:

Step-by-step explanation:

1. Copy the diagram using ruler for parallel lines * ensure they (the parallel lines) each have the same distance each point to one another before drawing or adding the transversal line L(3)

The transversal doesn't have to be exact to the diagram but the parallel lines do have to be correct to prove that angle 1 + 5 are identical and fit into each other.

2. They only become corresponding because of being on transversal to add to 180 degree. As you will see when you draw angle 1 on colored paper near the first blue/green circle and match with 5 below in the second blue/green circle.

3. The reason they want tracing paper afterwards of the same shape is so you can use alternatively to cover angle 5 in your book.

You will see they do cover each other.

Additional

''When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. ''

Should you enter search for the above statement it will show you an interactive tool you can use for regarding maths transversal.

Here you can compare parallel lines like l(1) and l(2) as even if they were not parallel they would still be corresponding angles. As you will see.

5 0

3 years ago

Read 2 more answers

The variable y varies jointly with x and w when y = - 42, x = 2, and w = -3.

Andrei [34K]

Answer:

k = 7

Step-by-step explanation:

given y varies jointly with x and w then the equation relating them is

y = kxw ← k is the constant of variation

to find k use the condition when y = - 42, x = 2 and w = - 3 , then

- 42 = k × 2 × - 3

- 42 = - 6k ( divide both sides by - 6 )

7 = k

constant of variation is k = 7

6 0

2 years ago

A survey of 2306 adult Americans aged 18 and older conducted by Harris Interactive found that 417 have donated blood in the past

disa [49]

Answer:

a) p = 0.1808

b) Since 341.54 ≥ 10. Therefore the requirements for constructing a confidence interval for p is satisfied.

c) The interval is (0.1676, 0.194)

d) We are 90% confident that the population proportion of adult Americans who have donated blood in the past two years is between 0.1676 and 0.194

Step-by-step explanation:

Given that:

n = 2306 and x =417

a) Obtain a point estimate for the population proportion (p) is the ratio of sample successes to sample size.

Therefore: p = x / n = 417 / 2306 = 0.1808

p = 0.1808

b) requirements for constructing a confidence interval for p is given by:

np(1-p) ≥ 10

Therefore: np(1-p) = 2306(0.1808)(1 - 0.1808) = 341.54 ≥ 10

Since 341.54 ≥ 10. Therefore the requirements for constructing a confidence interval for p is satisfied.

c) c = 90% = 0.9

α = 1 - 0.9 = 0.1

α / 2 = 0.1 /2 = 0.05

From the probability table, $z_{\frac{\alpha}{2} } = 1.645$

Margin of error (e) = $z_{\frac{\alpha}{2} } \sqrt{\frac{p(1-p)}{n} } =1.645* \sqrt{\frac{0.1808(1-0.1808)}{2306} }=0.0132$

The boundaries are (p - e, p + e) = (0.1808 - 0.0132, 0.1808 + 0.0132) = (0.1676, 0.194)

The interval is (0.1676, 0.194)

d) We are 90% confident that the population proportion of adult Americans who have donated blood in the past two years is between 0.1676 and 0.194

6 0

3 years ago

Read 2 more answers

The function f(x) = –16x2 + 64x + 200 models the height of a model rocket, f(x), in feet, x seconds after it was launched. After

nasty-shy [4]

The answer would be c I know cause I got it right on the test!

4 0

3 years ago

Read 2 more answers