Teresa is making iced tea. She has a container that has a volume of 3.95 gallons to store the iced tea.

write an equation of a line in slope-intercept form if the slope is ½ and the y-intercept is -2. a. y = (½)x 2 b. x - 2y = -4 c.

vaieri [72.5K]

Y = mx + c

y = (1/2)x + (-2)

y = (1/2)x - 2

C

7 0

4 years ago

Find the value of x.

Nostrana [21]

Answer:

21.6 degrees

Step-by-step explanation:

the sum of angles in a triangle is 180 degrees

71 + x + (4x-11) = 180

open the brackets

71 + x +4x - 1 = 180

71 + 1 + x + 4x =180

72 + 5x =180

5x = 180 -72

5x = 108

x = 108/5 = 21.6

4 0

3 years ago

Two different lines lie in the same plane.

nikitadnepr [17]

Answer:

Two lines, both in the same plane, that never intersect are called parallel lines. Parallel lines remain the same distance apart at all times. The symbol // is used to denote parallel lines.

how to prove that two lines are equal: If two lines are cut by a transversal and the alternate exterior angles are equal, then the two lines are parallel. Angles can be equal or congruent; you can replace the word "equal" in both theorems with "congruent" without affecting the theorem. So if ∠B and ∠L are equal (or congruent), the lines are parallel. therefore the answer is E. The two lines are everywhere equidistant.

8 0

3 years ago

Read 2 more answers

5. Suppose that a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organ

mart [117]

Answer:

Probability that the sample proportion will be greater than 0.5 is 0.8133.

Step-by-step explanation:

We are given that the a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organization is about to take a simple random sample of voters and will use the sample proportion to estimate p.

Suppose that the polling organization takes a simple random sample of 500 voters.

Let $\hat p$ = sample proportion

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion = 48%

n = sample of voters = 500

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be greater than 0.5 is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\frac{0.50-0.48}{\sqrt{\frac{0.50(1-0.50)}{500} } }$ ) = P(Z < 0.89) = 0.8133

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.89 in the z table which has an area of 0.8133.

Therefore, probability that the sample proportion will be greater than 0.50 is 0.8133.

6 0

3 years ago

What is the lateral surface area of a cube with side length of 9 cm

Wittaler [7]

S^2 = one face of a cube
S^2 × 6 = entire Surface Area (SA) of cube
One face = 9^2 = 81 cm^2
SA = 81 × 6 = 486 cm^2

3 0

3 years ago