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2 years ago

Priya and Han are biking in the same direction on the same path.

Mathematics

1 answer:

mixas84 [53]2 years ago

6 0

Answer: 1. X=16t

2. X=t+1/2

3. X=(t+1/2)12

4. 1.5 hours for han and 2 for priya

Step-by-step explanation:

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Determine the intercepts of the line.

Andrew [12]

Answer:

y = 12

x = 10/3

Step-by-step explanation:

y = -3.6x + 12

From this equation, which is in slope intercept form (y = mx+b), we already know that b represents the y-intercept, so that means the y-intercept is 12.

To find the x-intercept, we need to make y equal 0 to find x. So:

0 = -3.6x + 12

-3.6x = -12

x = 3.33333 --> 3 1/3

x = 10/3

6 0

3 years ago

Read 2 more answers

A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection

Roman55 [17]

Answer: -1.78

Step-by-step explanation:

As per given description, we have

Population proportion : $p=0.35$

Sample size : n= 500

Sample proportion : $\hat{p}=\dfrac{156}{500}=0.312$

Test statistic for population proportion :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\=\dfrac{0.312-0.35}{\sqrt{\dfrac{0.35(1-0.35)}{500}}}\\\\=-1.78146747757\ \ \text{(Simplified)}\\\\\approx-1.78$

Hence, the test statistic for this hypothesis test for a proportion= -1.78

3 0

3 years ago

Dropping less than two inches per mile after emerging from the mountains, a river drains into the ocean. One Day's discharge at

pashok25 [27]

So, one trillion is 1 and twelve zeros, thus 2.4 trillion is 2 trillions and 400 billions or 24 followed by eleven zeros, because the "4" is using up a space.

now, 1 million is 1 and six zeros, thus 100 millions is 100 and six zeros or 1 and 8 zeros.

now, is 2.4 trillions in four months, thus 2.4trillion/4 will give us how many gallons in 1 month.

to find how many households, simply let's divide it by 100 millions

$\bf \cfrac{\stackrel{\textit{2.4 trillions}}{24\times 10^{11}}}{4}\implies \cfrac{24}{4}\times 10^{11}\implies 6\times 10^{11}
\\\\\\
\cfrac{\stackrel{\textit{gallons per month}}{6\times 10^{11}}}{\stackrel{households}{1\times 10^8}}\implies \cfrac{6}{1}\times \cfrac{10^{11}}{10^8}\implies 6\times 10^{11}\times 10^{-8}
\\\\\\
6\times 10^{11-8}\implies 6\times 10^3\implies \stackrel{\textit{gallons per household}}{6000}$

6 0

3 years ago

Read 2 more answers

Help me please this is for a math test. <br> Thank you

zubka84 [21]

Answer:

x + 3y = -12

Step-by-step explanation:

y = mx + b

m is the slope = rise / run:

rise = 1

run = 3

the line is downhill so its negative

m = - 1 / 3

b is the y intercept which is when the line cross over the y axis: - 4

y = - 1/3x - 4

multiply both sides by 3

3y = -1x - 12

add x to both sides

x + 3y = -12

7 0

2 years ago

Yan has already finished 3/5 of the 45 math problems he was assigned today. Each math problem took him 1 4/5 of a minute to comp

kobusy [5.1K]

Answer:

He will finish the rest of the problems in 32.4 minutes.

Step-by-step explanation:

Since we are given that Yan has completed 3/5 of 45 problems i.e.

$\frac{3}{5}*45$

$27$

Thus he has completed 27 problems

Remaining no. of problems are 45-27 = 18

Since he complete each problem in minutes = $1\frac{4}{5} =\frac{9}{5} =1.8$

So, he completes 18 problems in minutes = 18 *1.8 = 32.4 minutes

Hence , He will finish the rest of the problems in 32.4 minutes.

3 0

3 years ago