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3 years ago

I need the answer to K/8-12=-8

1 answer:

5 0

K = 32 Because if the answer is -8, after you divide, the answer has to be 4. 4 x 8 = 32 Then run it through to make sure. 32/8 equals 4 4-12 equals -8 Negative 8 or -8 I should the answer K = -8

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f f (x) = StartFraction x minus 3 Over x EndFraction and g(x) = 5x – 4, what is the domain of (f circle g) (x)?

Rudik [331]

Answer:

f(g(x))=5-(7/x)

Step-by-step explanation:

f(x)=(x-3)/x

g(x)=5x-4

f(g(x))=((5x-4)-3)/x

f(g(x))=(5x-7)/x

f(g(x))=(5x/x)-7/x

f(g(x))=5-(7/x)

6 0

3 years ago

A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a samp

fenix001 [56]

Answer:

The lower bound of a 99% C.I for the proportion of defectives = 0.422

Step-by-step explanation:

From the given information:

The point estimate = sample proportion $\hat p$

$\hat p = \dfrac{x}{n}$

$\hat p = \dfrac{55}{100}$

$\hat p$ = 0.55

At Confidence interval of 99%, the level of significance = 1 - 0.99

= 0.01

$Z_{\alpha/2} =Z_{0.01/2} \\ \\ = Z_{0.005} = 2.576$

Then the margin of error $E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1-\hat p)}{n}}$

$E = 2.576 \times \sqrt{\dfrac{0.55(1-0.55)}{100}}$

$E = 2.576 \times \sqrt{\dfrac{0.2475}{100}}$

$E = 2.576 \times0.04975$

E = 0.128156

E ≅ 0.128

At 99% C.I for the population proportion p is: $\hat p - E$

= 0.55 - 0.128

= 0.422

Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422

6 0

3 years ago

Margaret's car loan statement said she would pay $7,683.20 in a simple interest for a 5 year loan at 9.8% how much did Margaret

Kobotan [32]

Answer:15,680

Step-by-step explanation:

7,683.207,683.20=(P)(0.098)(5)=0.49P

Dividing both sides by 0.49, we have

P=7,683.200.49=15,680

7 0

3 years ago

The amusement park sells both adult and child tickets. 4 adult tickets are sold for every 9 child tickets. if the park sells 312

sweet [91]

216= child tickets
96= adult tickets

8 0

3 years ago

1/15 divided by 5/7 please

Neko [114]

Answer:

7/75

Explantion:

To get the answer as a fraction you must first have a common denominator

so . .

$\frac{1}{15}$

$\frac{5}{7}$

105 is a common denominator

So . .

Multiply 5/7 by 15

Multiply 1/15 7

This comes out as

$\frac{7}{105}$
$\frac{75}{105}$

Divide = 7/75

6 0

2 years ago