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3 years ago

Round to the nearest whole number 3.713 divided by 0.413

Mathematics

1 answer:

babunello [35]3 years ago

7 0

After the division, we get 8.99031476998. This rounds to <u>9</u> as a whole number, which is the answer.

When rounding to a whole number, the digits following the decimal decide what number it rounds to. If it is 0-4 it rounds to whatever the whole number currently is E.G.

8.1 would round to 8

But if its 5-9 it rounds to one above, like in our current case.

8.5 rounds to 9.

42.414 rounds to 42.

42.94149124 rounds to 43.

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Question 10 (5 points)

kakasveta [241]

Answer:

Hey there!

Slope: 7-3/1-(-1), which is equal to 4/2, or 2.

Point slope: y-7=2(x-1)

So choice B is correct.

Let me know if this helps , or if you have any more questions :)

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3 years ago

How do i convert 37/4 into mixed numbers

IrinaVladis [17]

How many times does (4) go into (37) ? 9 TIMES.

Remainder 1.

So as a mixed number would be 9 whole number, 1/4

= (9 1/4)

4 0

3 years ago

We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden

True [87]

Answer:

The minimum number of cities we need to contact is 96.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence interval

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

In this problem, we have that:

$p = 0.5, M = 0.1$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}$

$0.1\sqrt{n} = 0.98$

$\sqrt{n} = 9.8$

$(\sqrt{n})^{2} = (9.8)^{2}$

$n = 96$

The minimum number of cities we need to contact is 96.

8 0

2 years ago

In a recent survey of favorite sodas 7 students chose coke. If these students represent 17.5% of the students surveyed, how many

katovenus [111]

Answer:

Step-by-step explanation:

7 = 17.5% × Y

STEP 2 7 =

17.5

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 17.5 we will arrive at:

STEP 3 Y = 7 ×

100

17.5

STEP 4 Y = 7 × 100 ÷ 17.5

STEP 5 Y = 40

8 0

3 years ago

2x+3y=1 and y=-2 - 9 solve using linear combination method. Please explain steps.

kaheart [24]

Answer:

$x=17$

Step-by-step explanation:

$2x+3y=1$

$y=-2-9$

In order to combine these two equations, an idea you need to keep in mind is finding a way of setting these equations as equal to each other. I saw that each equation shared a common value, $y$ . In this case, we need to isolate $y$ in the first equation so that both equations $=y$ .

$2x+3y=1$

$3y=-2x+1$

$\frac{3y}{3}=\frac{-2x+1}{3}$

$y=-\frac{2}{3}x+\frac{1}{3}$

With this, we now know that both $-2-9$ and $-\frac{2}{3}x+\frac{1}{3}$ are equal to $y$ , so we can set them equal to each other.

$y=-\frac{2}{3}x+\frac{1}{3}$

$y=-11$

$-\frac{2}{3}x+\frac{1}{3}=-11$

Reply to this if anything I'm saying or doing is confusing in any way, or if you find a mistake. :) Solve for $x$ .

$-\frac{2}{3}x+\frac{1}{3}=-11$

$-\frac{2}{3}x=-11-\frac{1}{3}$

$-\frac{2}{3}x =-\frac{33}{3}-\frac{1}{3}$

$-\frac{2}{3}x =-\frac{34}{3}$

$-\frac{2}{3}x(-\frac{3}{2})=-\frac{34}{3}(-\frac{3}{2})$

$x=\frac{102}{6}=17$

$x=17$

Hopefully this answer is correct AND makes sense in terms of how I achieved it. Again, reply to this with any questions or mistakes I made and I'll do my best to answer or fix them.

4 0

2 years ago