What is the cosine of 30?

One of the tables shows a proportional relationship.

beks73 [17]

Answer:

See attached

Step-by-step explanation:

The graph of a proportional linear relationship is a line that passes through the origin (0, 0).

From inspection of the given tables, the linear equations for each table of points is:

Table 1: y = x + 1
Table 2: y = x/2
Table 3: y = x + 2
Table 4: y = 2x + 1

The only equation for which y = 0 when x = 0 is y = x/2 → Table 2.

Given points from Table 2:

(2, 1)
(4, 2)
(6, 3)
(8, 4)

To graph the line, plot the given points and draw a line through them (see attached).

5 0

2 years ago

The line plot shows the amount of grass seed that a landscaper needs for each of her jobs. What is the total amount of grass see

Bond [772]

Answer:

$Total = 18\frac{1}{4}$

Step-by-step explanation:

Given

The attached line plot

Required

The total

To do this, we simply multiply each grass seed by the frequency (i.e. number of dots), then add up the results.

So, we have:

$Total = \frac{1}{4} * 2 + \frac{1}{2} * 3 + \frac{3}{4} * 1 + 1 * 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3$

$Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3$

Convert fractions to improper fraction

$Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} * 1 + \frac{3}{2} * 3 + \frac{7}{4} * 1 + 6$

$Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} + \frac{9}{2} + \frac{7}{4} + 6$

Add fractions

$Total = 18\frac{1}{4}$

Hence, the total amount is: $18\frac{1}{4}\b$ pounds

4 0

2 years ago

The point (–3, –4) is reflected across the x-axis. What quadrant is the reflected point located? A. Quadrant I B. Quadrant II C.

Natali5045456 [20]

Answer:

B

Step-by-step explanation:

Since (-3, -4) is in Quadrant III and the reflected point will be "flipped" vertically the answer is Quadrant II.

5 0

3 years ago

At the bike shop x, it cost $2.75 per hour plus a $3.00 deposit to rent a bike.AT Bike shop z cost $1.75 per hour plus a $7.00 d

Alex_Xolod [135]

Multiply the rate per hour by the number of hours (n) and add the deposit.

A)

Bike shop x: c = 2.75n + 3.00

Bike shop z: c = 1.75n + 7.00

B) to find when they will cost the same set the equations equal to each other and solve for n:

2.75n + 3.00 = 1.75n + 7.00

Subtract 3 from each side:

2.75n = 1.75n + 4.00

Subtract 1.75n from both sides:

1.00n = 4.00

Divide both sides by 1:

n = 4 hours

6 0

3 years ago

Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed w

cupoosta [38]

Answer:

The cutoff sales level is 10.7436 millions of dollars

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12, \sigma = 1.2$