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3 years ago

231

Mathematics

1 answer:

Inga [223]3 years ago

8 0

Answer:

Step-by-step explanation:

The slope-intercept form ⇒ y = mx + c

Where m is the slope and c is y-intercept

So, we need to change point-slope form to slope-intercept form

The given equation: y - 5 = 6 (x+1)

∴ y - 5 = 6x + 6 add 5 to each side of the equation

∴ y = 6x + 6 + 5

∴ y = 6x + 11

So, the equation written in slope-intercept form is <u>y = 6x + 11</u>

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In a bag there are 40 pieces of candy: 7

Slav-nsk [51]

Answer:

37.5

Step-by-step explanation:

because if you calculte percent = to 37.5 that is why it sis the correct answer

3 0

3 years ago

Read 2 more answers

Help please! :(

Mekhanik [1.2K]

Answer:

5.51 meters

Step-by-step explanation:

3 0

3 years ago

Okay I know I suck at math and I really don't understand math that well so can you help me on this??? Thank you!

Alja [10]

W - width
l - length
p - perimeter

The perimeter is 72 cm (p=72).
The length is twice the width (l=2w).
The formula for perimeter is 2w+2l=P.

$p=72 \\
l=2w \\ \\
2w+2l=p \\
2w+2 \cdot 2w=72 \\
2w+4w=72 \\
6w=72 \\
w=12 \\ \\
l=2w=2 \cdot 12 =24$

Check the answer:
$2 \cdot 12 + 2 \cdot 24 \stackrel{?}{=} 72 \\
24+48 \stackrel{?}{=} 72 \\
72 \stackrel{?}{=} 72 \\ \hbox{true}$

The length of the photo is 24 cm, the width of the photo is 12 cm.

8 0

3 years ago

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield

Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

17 randomly selected pens

This means that $n = 17$

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is $P(X \leq 2)$ when $p = 0.1$ . So

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167$

$P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315$

$P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762$

0.762 = 76.2% probability that this shipment is accepted

8 0

4 years ago

Which relation is a function?

Step2247 [10]

{(2, 3), (1, 5), (2, 7)} - NOT because 2->3 and 2->7
{(11, 9), (11, 5), (9, 3)} - NOT because 11->9 and 11->5
{(3, 8), (0, 8), (3, -2)} - NOT because 3->8 and 3->-2

{(-1, 5), (-2, 6), (-3, 7)} - YES

4 0

3 years ago