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3 years ago

Identify the slope from the equation y = 3x + 6

Mathematics

1 answer:

Romashka [77]3 years ago

4 0

Answer:

m=3

Step-by-step explanation:

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What number divided by 8 equals 9

lora16 [44]

9 x 8= 72, so the answer would be:

7 0

3 years ago

Read 2 more answers

David will spend at most $39 on gifts. So far, he has spent $22. What are the possible additional amounts he will spend? Use c f

iren2701 [21]

Answer:

$c\leq \$17$

Step-by-step explanation:

Let

c -----> the additional amount (in dollars) David will spend

we know that

The word " at most" in this context means "less than or equal to"

The amount David has spent plus possible additional amounts he will spend must be less than or equal to $39

The inequality that represent this situation is

$22+c\leq 39$

solve for c

subtract 22 both sides

$c\leq 39-22$

$c\leq \$17$

The maximum amount he could spend is $17

7 0

3 years ago

Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving

lesantik [10]

Answer:

a) 0.778

b) 0.9222

c) 0.6826

d) 0.3174

e) 2 drivers

Step-by-step explanation:

Given:

Sample size, n = 5

P = 40% = 0.4

a) Probability that none of the drivers shows evidence of intoxication.

$P(x=0) = ^nC_x P^x (1-P)^n^-^x$

$P(x=0) = ^5C_0 (0.4)^0 (1-0.4)^5^-^0$

$P(x=0) = ^5C_0 (0.4)^0 (0.60)^5$

$P(x=0) = 0.778$

b) Probability that at least one of the drivers shows evidence of intoxication would be:

P(X ≥ 1) = 1 - P(X < 1)

$= 1 - P(X = 0)$

$= 1 - ^5C_0 (0.4)^0 * (0.6)^5$

$= 1 - 0.0778$

$= 0.9222$

c) The probability that at most two of the drivers show evidence of intoxication.

P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)

$^5C_0 (0.4)^0 (0.6)^5 + ^5C_1 (0.4)^1 (0.6)^4 + ^5C_2 (0.4)^2 (0.6)^3$

$= 0.6826$

d) Probability that more than two of the drivers show evidence of intoxication.

P(x>2) = 1 - P(X ≤ 2)

$= 1 - [^5C_0 (0.4)^0 (0.6)^5 + ^5C_1 (0.4)^1 (0.6)^4 + ^5C_2 * (0.4)^2 (0.6)^3]$

$= 1 - 0.6826$

$= 0.3174$

e) Expected number of intoxicated drivers.

To find this, use:

Sample size multiplied by sample proportion

n * p

= 5 * 0.40

= 2

Expected number of intoxicated drivers would be 2

7 0

3 years ago

A survey of physicians in 1979 found that some doctors give a placebo to patients who complain of pain for which the physician c

lisov135 [29]

Below are the few reasons:

- There may have been a physical basis and yet the placebo can seem like it worked due to the patients mindset that they will get better.
<span>- Also, the doctors must not tell the patient that they will be taking a placebo. They must assure the patient that the "pill" will cure their problems.</span>

5 0

3 years ago

Mario can eat 21 hot dogs in 6 minutes. At the same place, how many minutes would it take him to eat 35 hot dogs?

anyanavicka [17]

Answer:

10 minutes

Step-by-step explanation:

Mario can eat e21 hot dog in 6 minutes

Let 35 hot dog eats in x minutes :

$\frac{35}{x} =\frac{21}{6} \\x=\frac{35(6)}{21} \\x=10 min$

Therefore, mario would eat 35 dogs in 10 min.

6 0

3 years ago