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3 years ago

Andre and Jillian were shopping at the same grocery store for bottles of sports drinks for their kickball teams. Andre bought 3

Mathematics

1 answer:

Leno4ka [110]3 years ago

6 0

Answer:

x = 4

Step-by-step explanation:

The equation comes out to be:

3x + 11 = 5x + 3

Move the variables to the left-hand side and change its sign

And move the constant to the right-hand side and change its sign:

3x - 5x = 3 - 11

Combine like terms to get:

-2x = -8

Isolate x by dividing -2 on both sides:

-2x/-2 = -8/-2

x = 4

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8. 36.8 = [11.5 – (2.5 X 3)]2

Anestetic [448]

Answer:

$[11.5-(2.5*3)]^2=16$

Step-by-step explanation:

We want to evaluate $[11.5-(2.5*3)]^2$

Let us evaluate within the parenthesis first:

$[11.5-(2.5*3)]^2=[11.5-(7.5)]^2$

$\implies [11.5-(2.5*3)]^2=[11.5-7.5]^2$

We again subtract within the bracket to obtain:

$[11.5-(2.5*3)]^2=[4]^2$

This finally gives us:

$[11.5-(2.5*3)]^2=16$

6 0

3 years ago

A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?

STatiana [176]

Answer:

y = 10/9x + 9

Step-by-step explanation:

To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).

Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:

$m = \frac{y2 - y1}{x2 - x1}$

Let (x1, y1) = (0, 9)

and (x2, y2) = (9, 19)

Substitute these values on the formula:

$m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}$

Therefore, the slope (m ) = 10/9.

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b ). It is also the value of the y when x = 0.

One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.

Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9

3 0

2 years ago

Find the value of x. Round the length to the nearest tenth.

larisa [96]

Answer:

x = 7.9

Step-by-step explanation:

Given:

Angle - 44

Hypotenuse - 11 ft

adjacent side - x

having adjacent and hypotenuse use Cosine to solve the problem from

S-oh C-ah T-oa

cos (angle) = adjacent / hypotenuse

**Make sure your calculator is in degree mode**

cos 44 = x/11

if you cross multiply, you get

11 cos 44 = x

or to solve for x you would multiply both sides by 11 and get

11 cos 44 = x

x = 7.9

3 0

3 years ago

Read 2 more answers

Please help! Correct answer only please! I need to finish this assignment by tomorrow.

pentagon [3]

Answer:

0.779

Step-by-step explanation:

1(58)+2(24)+3(8)+4(39)=286

286/367=0.779

PLS GIVE BRAINLIEST!!!

3 0

3 years ago

2. The quality assurance department inspects its production line. The product either fails or passes the inspection. Past experi

Oksana_A [137]

Answer:

(a) $E(X) = 950$

(b) $COV = 0.007255$

Step-by-step explanation:

The given problem can be solved using binomial distribution since the product either fails or passes, the probability of failure or success is fixed and there are n repeated trials.

probability of failure = q = 0.05

probability of success = p = 1 - 0.05 = 0.95

number of trials = n = 1000

(a) What is the expected number of non-defective units?

The expected number of non-defective units is given by

$E(X) = n \times p \\\\E(X) = 1000 \times 0.95 \\\\E(X) = 950$

(b) what is the COV of the number of non-defective units?

The coefficient of variance is given by

$COV = \frac{\sigma}{E(X)}$

Where the standard deviation is given by

$\sigma = \sqrt{n \times p\times q} \\\\\sigma = \sqrt{1000 \times 0.95\times 0.05} \\\\\sigma = 6.892$

So the coefficient of variance is

$COV = \frac{6.892}{950}$

$COV = 0.007255$

(c) What is the probability of having more than 980 non-defective units?

We can use the Normal distribution as an approximation to the Binomial distribution since n is quite large and so is p.

$P(X > 980) = 1 - P(X < 980)\\\\P(X > 980) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\$

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).

$P(X > 980) = 1 - P(Z < \frac{979.5 - 950}{6.892} )\\\\P(X > 980) = 1 - P(Z < \frac{29.5}{6.892} )\\\\P(X > 980) = 1 - P(Z < 4.28)\\\\$

The z-score corresponding to 4.28 is 0.99999

$P(X > 980) = 1 - 0.99999\\\\P(X > 980) = 0.00001\\\\$

So it means that it is very unlikely that there will be more than 980 non-defective units.

8 0

3 years ago