All categories

3 years ago

Which linear inequality is represented by the graph?

Mathematics

1 answer:

Dvinal [7]3 years ago

5 0

The correct answer is C: y > 2/3x + 3

(1,4) ⇒ within the shaded region

4 > 2/3(0) + 3
4 > 0 + 3
4 > 3
True

(0,0) ⇒ within the unshaded region

0 > 2/3(0) + 3
0 > 0 + 3
0 > 3
False

You might be interested in

Can you please help me with this question

Degger [83]

Answer:

Step-by-step explanation:

The table that represents a function will have no x-values repeated.

A. 4 is repeated -- not a function

B. all x-values are unique -- this is a function

C. 2 is repeated -- not a function

D. 3 is repeated -- not a function

5 0

2 years ago

You want to order some T-shirts that cost $14 each. Shipping is $7 per order. If you buy 11 T-shirts, what will the order cost?

poizon [28]

14 x 11 = 154
7 x 11 = 77
154 + 77 = 231

8 0

3 years ago

Read 2 more answers

FIND om if LO bisects

disa [49]

First you use Pythagorean theorem to find LO is square root of 194(13^2 + 5^2)=13.9. Then use the same method to find OM (194+13^2=363, square root of 363 is 19.1) and get that OM is 19.1

7 0

3 years ago

A persons resting heart rate is typically between 60 and 100 beats per minute. Noah looks at his watch, and counts 8 heartbeats

gulaghasi [49]

Its typical because 60 between 100. 8 times 10 seconds equals 80 which is in between so Noah's heart rate is typical.

4 0

3 years ago

According to a study done by Wakefield Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

UNO [17]

Answer:

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

Step-by-step explanation:

We are given that according to a study done by Wake field Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language.

Let $\hat p$ = sample proportion of Americans who can order a meal in a foreign language

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 of Americans who can order a meal in a foreign language = 0.47

n = sample of Americans = 200

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.06) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{0.5-0.47}{\sqrt{\frac{0.5(1-0.5)}{200} } }$ ) = P(Z > 0.85) = 1 - P(Z $\leq$ 0.85)

= 1 - 0.80234 = 0.19766

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 = 0.85 in the z table which has an area of 0.80234.

Therefore, probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

4 0

3 years ago