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3 years ago

Graph the following line y=3/2x + 5

Mathematics

1 answer:

Mademuasel [1]3 years ago

4 0

(0,5) when you graph it these will be your point you can use desmos which is a graphing calculator

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Solve the following system of equations. Enter the x-coordinate of the solution. Round your answer to the nearest tenth.

Sergeu [11.5K]

Answer: 3.7

Step-by-step explanation: 3.706, but since you need it rounded to the nearest tenth its 3.7. If you put both equations on a graph, they intercept. We use the x coordinate in this intersection as the answer.

3 0

3 years ago

Cecil is replacing lightbulbs in the office where he works. When he started, he had x boxes of lightbulbs with 2 bulbs in each b

nignag [31]

Answer:

If we add the Replaced, the Left, that would be 28 LB, 14 boxes.

6 0

3 years ago

Read 2 more answers

According to a study, 68% of all males between the ages of 18 and 24 live at home. (Unmarried college students living in a d

Marat540 [252]

Answer:

a) P(X≥143)=0

b) This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).

Step-by-step explanation:

If we use the normal approximation to the binomial distribution we have the following parameters (mean and standard deviation):

$\mu=np=0.68*206=140.1\\\\ \sigma=\sqrt{np(1-p)}=\sqrt{206*0.68*0.32}=\sqrt{44.8256}=6.7$

Then, we can calculate the probability of X being equal or more than 143 using the z-score:

$z=\dfrac{X-\mu}{\sigma/\sqrt{n}}=\dfrac{143-140.1}{6.7/\sqrt{206}}=\dfrac{2.9}{0.4668}=6.2124\\\\\\P(x\geq143)=P(z>6.2124)=0$

This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).

6 0

3 years ago

Write a recursive and an explicit formula to represent the following sequence 52, 40, 28, 16,...

horrorfan [7]

Answer:

Explicit tn = 52 + (n - 1)*(-12)

Recursive = tn = t(n - 1) - 12

Step-by-step explanation:

The difference between term n and term n - 1 is can be found by taking the difference between and 2 consecutive terms.

t3 = 28

t2 = 40

d = t3 - t2

d = 28 - 40

d = - 12

Explicit

tn = a1 + (n - 1)*d

a1 = 52

d = - 12

tn = 52 + (n - 1)*(-12)

Example

Find t5

t5 = 52 + (5 - 1)*(-12)

t5 = 52 + 4 * - 12

t5 = 52 - 48

t5 = 4

Recursive

tn = t(n - 1) - 12

Example

t5 = t4 - 12

t5 = 16 - 12

t5 = 4 just as it did before.

5 0

3 years ago

Nebi has already typed 250 words. He then starts a timer and finds that he types 150 words in 3 minutes. If nebi types at a cons

shepuryov [24]

Answer:

$w=250+50m$

Step-by-step explanation:

Number words Nebi has typed = 250

t = Duration of typing = 3 minutes

Number of words typed in 3 minutes = 150

Rate of typing in 3 minutes

$\dfrac{150}{3}=50\ \text{words/minute}$

So the linear equation representing the situation would be

$w=250+50m$

Where

w = Number of words

m = Number of minutes after starting the timer

7 0

3 years ago