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3 years ago

A line passes through the point (-4,8) and has a slope of 3/2. Write an equation in point slope form for this line.

Mathematics

1 answer:

Kay [80]3 years ago

5 0

Answer:

y-8=3/2(x+4)

Step-by-step explanation:

y-y1=m(x-x1)

y-8=3/2(x-(-4))

y-8=3/2(x+4)

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The following are questions from a self-quiz.According to some study, the height for Northern European adult males is normally d

lara [203]

Answer:

a) 0.064

b) 0.109

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 181 centimeter

Standard Deviation, σ = 7.3 centimeter

We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(person is between 160 and 170 centimeters)

$P(160 \leq x \leq 170) = P(\displaystyle\frac{160 - 181}{7.3} \leq z \leq \displaystyle\frac{170-181}{7.3}) = P(-2.8767 \leq z \leq -1.506)\\\\= P(z \leq -1.506) - P(z < -2.8767)\\= 0.066 -0.002 = 0.064 = 6.4\%$

b) P(person is higher than 190 centimeter)

P(x > 190)

$P( x > 190) = P( z > \displaystyle\frac{190 - 181}{7.3}) = P(z > 1.2328)$

$= 1 - P(z \leq 1.2328)$

Calculation the value from standard normal z table, we have,

$P(x > 190) = 1 - 0.891 = 0.109 = 10.9\%$

7 0

3 years ago

salad dressing is made by mixing lemon juice and oil in the ratio 5:4. eleanor makes 900ml of the salad dressing how much lemon

xxTIMURxx [149]

Answer:

500 ml.

Step-by-step explanation:

5:4, right?

5 + 4 = 9

There's your answer, friend!

7 0

3 years ago

From the set (76, 77, 78), use substitution to determine which value of x makes the equation true

jeyben [28]

Answer:

The answer is C.

Step-by-step explanation:

Multiply 4 by 76, 77, and 78.

4 * 76 = 304

4 * 77 = 308

4 * 78 = 312

304 = 304, so C is the correct answer.

Hope this helps!

7 0

3 years ago

Finley and Cooper are wanting to go to SkyZone. Finley pays $53.75 for 5 hours. How much will Cooper pay for 3 hours?

IrinaK [193]

Answer:

Step-by-step explanation:

first, we need to figure out how much the cost is for one hour:

53.75/5 = 10.75

therefore, the cost at skyzone for 1 hour is $10.75 , BUT, we still need to figure out the time for 3 hours.

so, 10.75 x 3 = $32.25

6 0

3 years ago

Read 2 more answers

In April, the Messa family gets 800 text messages included in their plan. Together, Tommy and Mary use half of the messages. Jac

laiz [17]

Answer: See explanation

Step-by-step explanation:

Total number of text messages = 800

Amount used by Tommy and Mary = 1/2 × 800 = 400

Number of messages uses by Jack and Stefanie = 240

The expression to find the number of messages Cathy uses will be:

= 800 - (1/2 × 800) - 240

Since the expression is 800 - (1/2 × 800) - 240, the number of messages that Cathy will use will be:

= 800 - (1/2 × 800) - 240

= 800 - 400 - 240

= 160 messages

3 0

3 years ago