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julia-pushkina [17]
3 years ago
6

Use the graph.

Mathematics
2 answers:
rewona [7]3 years ago
6 0
I think the answer is b
Vinil7 [7]3 years ago
3 0
The answer would be b , because the line is pointing down which makes it a negative slope .
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A boat in still water is 32 mph. If the boat travels 72 miles upstream in the same time that it takes to travel 120 miles downst
dalvyx [7]
Dup= 72 miles 
<span>ddown= 120 miles </span>
<span>v= riverspeed </span>
<span>rup= 32mph - v </span>
<span>rdown= 32mph + v </span>
<span>t both ways= t </span>

<span>d=r*t </span>
<span>d/r=t </span>

<span>t=ddown/rdown </span>
<span>t=dup/rup </span>

<span>dup/rup = ddown/rdown </span>

<span>(72)/(32-v)=(120)/(32+v) </span>
<span>3840-120v=2304+72v </span>
<span>1536=192v </span>
<span>v=8</span>
8 0
3 years ago
Find the percent of change: 100 acres to 140 acres
nydimaria [60]

Answer: 40%

Step-by-step explanation: First determine whether the number increases or decreases. Since the number changes from 100 to 140 it's getting bigger, so it increases.

To find the percent increase, we use the following formula.

The amount of change is the difference between the two numbers which is 40 and we get this by subtracting 100 from 140. The original number will be the number that we started with which is 100.

140/100 simplifies to 0<em>.</em>4.

Finally, we want the percent increase so we write 0<em>.</em>4 as a percent by moving the decimal point 2 places to the right to get 40%.

Therefore, the percent increase is 40%.

6 0
3 years ago
If JL=14, KL=10, and ML=, What is JK
lbvjy [14]

Answer: K eeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

6 0
3 years ago
"4. A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of de
SSSSS [86.1K]

Answer:

With a 0.01 significance level and samples of 50 and 40 cofee drinkers, there is enough statistical evidence to state that the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers.

The test is a one-tailed test.

Step-by-step explanation:

To solve this problem, we run a hypothesis test about the difference of population means.

$$Sample mean $\bar X: \bar X=4.35$\\Sample mean $\bar Y: \bar Y=5.84$\\Population variance $\sigma^2_X: \sigma^2_X=1.2^2$\\Population variance $\sigma^2_Y: \sigma^2_Y=1.36^2$\\Sample size $n_X=50$\\Sample size $n_Y=40$\\Significance level $\alpha=0.01$\\Z criticals values (for a 0.01 significance)\\(Left tail test) Z_{1-\alpha}=Z_{0.990}=-2.32635\\($Right tail test) Z_{\alpha}=Z_{0.010}=2.32636\\($Two-tailed test) $Z_{1-\alpha/2}=Z_{0.995}=-2.57583$ and $ Z_{\alpha/2}=Z_{0.005}=2.57583\\\\

The appropriate hypothesis system for this situation is:

H_0: \mu_X-\mu_Y=0\\H_a: \mu_X-\mu_Y  \leq 0\\\\

Difference of means in the null hypothesis is:

\mu_X - \mu_Y = M_0=0\\\\

$$The test statistic is$ Z=\frac{( \bar X-\bar Y)-M_0}{\sqrt{\frac{\sigma^2_X}{n_X}+\frac{\sigma^2_Y}{n_Y}}}\\$$The calculated statistic is Z_c=\frac{[(4.35-5.84)-0]}{\sqrt{\frac{1.20^2}{50}+\frac{1.36^2}{40}}}=-5.43926\\p-value = P(Z \leq Z_c)=0.0000\\\\

Since, the calculated statistic Z_c is less than critical Z_{1-\alpha}, the null hypothesis should be rejected. There is enough statistical evidence to state that the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers.

7 0
3 years ago
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Laura bought a bike on sale for $7.16 off the list price. The discount was 8%. What was the list price?
shtirl [24]

Answer:

0.5728

Step-by-step explanation:

8*7.16/100 =0.5728

4 0
2 years ago
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