Please show work.. 50 is 40% of what number?

The solutions to the equation -4|x + 9| = -8 are: 7, 11 7, -11 -7, 11 -7, -11

dimaraw [331]

Answer:

option 4

Step-by-step explanation:

Given Equation :-

=> -4| x + 9 | = -8

To FinD :-

=> Solution of the equation .

Solving it :-

=> -4| x + 9 | = -8

=> | x + 9 | = -8/-4

=> |x + 9| = 2

=> ( | x + 9 | )² = 2²

=> x + 9 = ±2

=> x = -9 +2 , -9-2

=> x = - 7 , -11

Option 4 is correct.

5 0

3 years ago

Read 2 more answers

uma zelek sells copy paper to local schools. she earns a 13% straight commission on all sales. in november her sales totaled 28,

SOVA2 [1]

Answer:

I need to know this too please someone help me

7 0

3 years ago

For a certain population of sea turtles, 18 percent are longer than 6.5 feet. A random sample of 90 sea turtles will be selected

nika2105 [10]

Answer:

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

18 percent are longer than 6.5 feet.

This means that $p = 0.18$

A random sample of 90 sea turtles

This means that $n = 90$

What is the standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.18*0.82}{90}} = 0.0405$

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405

8 0

3 years ago

What is 24 – ( n + 3 ) ÷ 2 when n = ?

IrinaVladis [17]

Answer:

16 or 8

Step-by-step explanation:

I'm not sure if this are right

6 0

3 years ago

3 sin ^2 x - 3 sin ^4 x =0

Serga [27]

I assume you're just solving for x. Factorize the left side as

3 sin²(x) - 3 sin⁴(x) = 3 sin²(x) (1 - sin²(x)) = 0

Recall that

sin²(x) + cos²(x) = 1

so that the equation further reduces to

3 sin²(x) cos²(x) = 0

Also recall the double angle identity,

sin(2x) = 2 sin(x) cos(x)

which lets us rewrite the equation as

3/2² (2 sin(x) cos(x))² = 3/4 sin²(2x) = 0

Solve for x :

3/4 sin²(2x) = 0

sin²(2x) = 0

sin(2x) = 0

2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ

(where n is any integer)

2x = 2nπ or 2x = (2n + 1) π

x = nπ or x = (2n + 1)/2 π

Notice that this means the solution set is

{…, -2π, -3π/2, -π, -π/2, 0, π/2, π, 3π/2, 3π, …}

so we can condense the solution further to

x = nπ/2

with any integer n.

7 0

3 years ago