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2 years ago

Which graph represents y=1/2x+2 please help!!

Mathematics

1 answer:

wel2 years ago

8 0

Answer:

Step-by-step explanation:

Let’s first look at the y-intercept. Since the equation is in y = mx + b form, we know that m is the slope and b is the y-intercept, so the slope is 1/2 and the y-intercept is 2, or (0,2). We can narrow down our search by noticing that C and D don’t intersect (0,2). That leaves A and B.

The slope is calculated by (y_1 - y_2)/(x_1 - x_2) given points (x_1, y_1) and (x_2, y_2). The slope for A is (4-0)/(2-(-2)) = 4/4 = 1 and the slope for B is (2-0)/(0-(-4)) = 2/4 = 1/2. The slope of B matches the slope that we are looking for. So, the answer is B.

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A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s

Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

$P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0$

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

$P_K=3P_T\\\\P_K-3P_T=0$

Finally, we know that the sum of probablities has to be 1, or 100%.

$P_Q+P_K+P_T=1$

We can solve this by sustitution:

$P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6$

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

$P_K+P_Q=0.6+0.2=0.8$

8 0

3 years ago

Janelle ate 82% of the pie. What fraction of the pie remained? help meee

pav-90 [236]

Answer:

There is 18% left of the pie.

Step-by-step explanation:

There is only 100% of a pie. If she at 82% then there is 18% left. 100-82=18

4 0

3 years ago

Read 2 more answers

Suppose that 5% of the general population has a disease and the test for the disease is accurate 80% of the time. What is the pr

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

Say we are testing 100 people

we test 100 times

80 of the 100 tests result in 5 people having the disease.

so 5 people of 80 of 100 test have this disease

therefore, 5/80/100

.065

6 0

3 years ago

Read 2 more answers

Parallel to y = 3x + 5 and passing through (0, 2)

bixtya [17]

If you want the equation of the line its:
y=3x+2

6 0

2 years ago

ss7ja [257]

The area of the <em>irregular</em> quadrilateral ABCD is equal to 234 square centimeters. (Correct choice: C)

<h3>What is the area of the quadrilateral?</h3>

Herein we have a description of an <em>irregular</em> quadrilateral, whose area must be determined by adding the areas of minor quadrilaterals and triangles that are part of it. The area is now determined:

A = 0.5 · (24 cm) · (7 cm) + 0.5 · (15 cm) · (20 cm)

A = 234 cm²

The area of the <em>irregular</em> quadrilateral ABCD is equal to 234 square centimeters. (Correct choice: C)

<h3>Remark</h3>

The picture with the quadrilateral is missing and is included as attachment.

To learn more on quadrilaterals: brainly.com/question/13805601

#SPJ1

5 0

1 year ago