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Firdavs [7]
3 years ago
6

Y = 3x x + y = 52 substitution method help quick show all work

Mathematics
1 answer:
AfilCa [17]3 years ago
8 0

Answer:

x + 3x = 52 \\ 4x = 52 \\ x = 13 \\ y = 3x = 3 \times 13 = 39

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Find 7.4 times the difference between 87 and 24.
wlad13 [49]
Step 1
<span>Find the difference between 87 and 24
(87-24)=63

step 2
</span><span>Find 7.4 times the difference between 87 and 24
7.4*63=466.2

the answer is
466.2</span>
6 0
3 years ago
A sports magazine claims that in a certain country, 45% of people like soccer A news channel asked 30 randomly selected people i
LiRa [457]

Answer:

Step-by-step explanation:

Hello!

The parameter of interest is "the population proportion of people that like soccer A news channel"= p

The hypothesis are:

H₀: p = 0.45

H₁: p ≠ 0.45

To study the population proportion you have to use the approximation of the standard normal distribution:

Z= \frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } } ≈ N(0;1)

A sample of n=30 was taken and surveyed, 18 of those answered positively, then the sample proportion is:

p'= 18/30= 0.6

The statistic under the null hypothesis is:

Z_{H_0}= \frac{0.60-0.45}{\sqrt{\frac{0.45*0.55}{30} } } = 1.6514

I hope it helps!

6 0
3 years ago
What is the area of a 3.3in circle​
WITCHER [35]

Answer:

3.3in

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Not sure if any of this is correct, but it’s what I got so far
Irina18 [472]

Problem 1 is correct. You use the pythagorean theorem to find the hypotenuse.

==================================================

Problem 2 has the correct answer, but one part of the steps is a bit strange. I agree with the 132 ft/sec portion; however, I'm not sure why you wrote \frac{1 \text{ sec}}{132 \text{ ft}}=\frac{0.59\overline{09}}{78 \text{ ft}}*127 \text{ ft}

I would write it as \frac{1\text{ sec}}{132 \text{ ft}}*127 \text{ ft} = \frac{127}{132} \text{ sec} \approx 0.96 \text{ sec}

==================================================

For problem 3, we first need to convert the runner's speed from mph to feet per second.

17.5 \text{ mph} = \frac{17.5 \text{ mi}}{1 \text{ hr}}*\frac{1 \text{ hr}}{60 \text{ min}}*\frac{1 \text{ min}}{60 \text{ sec}}*\frac{5280 \text{ ft}}{1 \text{ mi}} \approx 25.667 \text{ ft per sec}

Since the runner needs to travel 90-12 = 78 ft, this means\text{time} = \frac{\text{distance}}{\text{speed}} \approx \frac{78 \text{ ft}}{25.667 \text{ ft per sec}} \approx 3.039 \text{ sec}

So the runner needs about 3.039 seconds. In problem 2, you calculated that it takes about 0.96 seconds for the ball to go from home to second base. The runner will not beat the throw. The ball gets where it needs to go well before the runner arrives there too.

-------------

The question is now: how much of a lead does the runner need in order to beat the throw?

Well the runner needs to get to second base in under 0.96 seconds.

Let's calculate the distance based on that, and based on the speed we calculated earlier above.

\text{distance} = \text{rate}*\text{time} \approx (25.667 \text{ ft per sec})*(0.96 \text{ sec}) \approx 24.64032 \text{ ft}

This is the distance the runner can travel if the runner only has 0.96 seconds. So the lead needed is 90-24.64032 = 65.35968 feet

This is probably not reasonable considering it's well over halfway (because 65.35968/90 = 0.726 = 72.6%). If the runner is leading over halfway, then the runner is probably already in the running motion and not being stationary.

As you can see, the runner is very unlikely to steal second base. Though of course such events do happen in real life. What may explain this is the reaction time of the catcher may add on just enough time for the runner to steal second base. For this problem however, we aren't considering the reaction time. Also, not all catchers can throw the ball at 90 mph which is quite fast. According to quick research, the MLB says the average catcher speed is about 81.8 mph. This slower throwing speed may account for why stealing second base isn't literally impossible, although it's still fairly difficult.

5 0
3 years ago
Mrs. Baker uses 7.5 cups of sugar to make 168 cookies. To the nearest hundredth, what is the unit rate in cups of sugar per cook
vodomira [7]

Answer:0.04

Step-by-step explanation:

7 0
4 years ago
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