What is the formula to find the surface area of a triangular prism

What is the answer to 3/7+2/7

Ad libitum [116K]

5/7 is your answers

7 0

3 years ago

What is the slope of the line represented by the equation 6y-14x=5

ioda

Answer:

slope = $\frac{7}{3}$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 6y - 14x = 5 into this form

add 14x to both sides

6y = 14x + 5 ( divide all terms by 6 )

y = $\frac{14}{6}$ x + $\frac{5}{6}$ ← in slope- intercept form

with slope m = $\frac{7}{3}$ ← in simplest form

7 0

3 years ago

A manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective

Inessa05 [86]

Answer:

(a) P(X $\leq$ 20) = 0.9319

(b) Expected number of defective light bulbs = 15

Step-by-step explanation:

We are given that a manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective independently. A box of 150 bulbs is selected at random.

Firstly, the above situation can be represented through binomial distribution, i.e.;

$P(X=r) = \binom{n}{r} p^{r} (1-p)^{2} ;x=0,1,2,3,....$

where, n = number of samples taken = 150

r = number of success

p = probability of success which in our question is % of bulbs that

are defective, i.e. 10%

Now, we can't calculate the required probability using binomial distribution because here n is very large(n > 30), so we will convert this distribution into normal distribution using continuity correction.

So, Let X = No. of defective bulbs in a box

Mean of X, $\mu$ = $n \times p$ = $150 \times 0.10$ = 15

Standard deviation of X, $\sigma$ = $\sqrt{np(1-p)}$ = $\sqrt{150 \times 0.10 \times (1-0.10)}$ = 3.7

So, X ~ N( $\mu = 15, \sigma^{2} = 3.7^{2})$

Now, the z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

(a) Probability that this box will contain at most 20 defective light bulbs is given by = P(X $\leq$ 20) = P(X < 20.5) ---- using continuity correction

P(X < 20.5) = P( $\frac{X-\mu}{\sigma}$ < $\frac{20.5-15}{3.7}$ ) = P(Z < 1.49) = 0.9319

(b) Expected number of defective light bulbs found in such boxes, on average is given by = E(X) = $n \times p$ = $150 \times 0.10$ = 15.

5 0

3 years ago

Justin is evaluating the expression 12.5 + 3.8x, when x is 7.9

sveticcg [70]

Ok so this is an output/input question u will do 12.5 + 3.8(7.9) =x so in order to get x u will do 7.9 × 3.8 which gives u 29.64 then u will add that to 12.5 which gives u x = 46.14

5 0

3 years ago

Read 2 more answers

1. Graph the function f(x)=4cos(x). (Be sure to label your x-axis.)

Mekhanik [1.2K]

ANSWER

To graph the function

$y=4cos(x)$ we need to plot some few points within one period. Since the interval is not given, we shall use $[0,2 \pi]$ '