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3 years ago

What is -2 + something = 10

Mathematics

2 answers:

netineya [11]3 years ago

7 0

12 because negative two taken away from positive 12 equals positive 10

rosijanka [135]3 years ago

4 0

Answer:

12.

Step-by-step explanation:

It is simple. If you look at the answer and think "If I'm at -2 on a number line, how many am I going to count to get to 10? Try looking up a number line or making one. You can also take the answer plus the -2 that you have to equal 12. Hope this helps.

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Prove that quadrilateral Q(1, -2), D(13, 4), A(6, 8) and U(-2, 4) is a trapezoid. Slope of AD ___________ Slope of QD __________

Leno4ka [110]

Sorry i don’t really know

7 0

3 years ago

Jenette rides her bike to the bus station where she barely makes it in time to catch the bus to work. She spends half an hour on

aleksklad [387]

Answer:

The rate of the bike is approximately 23.14 mph

The rate of the bus is approximately 62.14 mph

Step-by-step explanation:

The given parameters are;

The time Janette spends on her bike to get to bus station = Half an hour = 0.5 hours = 30 minutes

The time Janette spends on the bus on her way to work = Two-thirds of an hour = 2/3 hours

The speed of the bus = 39 mph + The speed with which Janet travels on her bike

The total distance from her home to her work = 40 miles

To answer the question, let the speed with which Janet travels on her bike in miles per hour = x = the rate of the bike

Therefore, we have;

The speed rate of the bus = 39 + x

Distance = Speed × Time

The distance Janet travels to the bus station = The speed with which Janet travels on her bike × The time Janette spends on her bike to get to bus station

The distance Janet travels to the bus station = x × 0.5 = 0.5·x

The distance travelled by the bus from the bus station to her work = The speed of the bus × The time Janette spends on the bus from the bus station to her place of work

∴The distance travelled by the bus from the bus station to her work = (39 + x) × 2/3 hours = 13 + 2/3·x

The total distance from her home to her work = 40 miles = The distance Janet travels to the bus station + The distance travelled by the bus from the bus station to her work

∴ The total distance from her home to her work = 40 miles = 0.5·x + 13 + 2/3·x

Which gives;

40 = 0.5·x + 13 + 2/3·x

40 = 7/6·x + 13

7/6·x = 40 - 13 = 27

7/6·x = 27

x = 27 × 6/7 ≈ 23.14 mph

The rate of the bike = x ≈ 23.14 mph

The rate of the bike ≈ 23.14 mph

The speed rate of the bus = 39 + x ≈ 39 + 23.14 ≈ 62.14 mph

The speed rate of the bus ≈ 62.14 mph.

5 0

3 years ago

Statistics: Hypothesis Testing

Lina20 [59]

Answer:

Yes, the mean age of onset of anorexia nervosa in women has decreased.

Step-by-step explanation:

When constructing confidence intervals, remember the acronym PANIC.

P (p definitions)

let p = the newly recorded mean age of the onset of anorexia nervosa in women

A (assumptions)

There is no evidence in the problem that the women were randomly or independently selected, but we will proceed as if they were. It is reasonable to assume that there are over 200 women in the world, so this sample is less than 10% of the total population. We will assume that the onset of anorexia nervosa has a fairly normal distribution, so the smaller sample size will suffice.

N (name the test)

Because the required conditions are met, we can construct a 95% confidence interval.

I (interval)

Interval = $\overline{x} \pm Z^{*} (\frac{\sigma}{\sqrt{n} })$

Interval = $14.250 \pm 1.96 (\frac{1.512}{\sqrt{20} })$

Interval = $14.250 \pm .6626$

Interval = (13.5874, 14.9126)

C (conclusion)

Based on this interval, I am 95% confident that the true mean age of the onset of anorexia nervosa in women is between 13.58 and 14.91 years. Since 15 is not included in this interval, I believe that the mean age of the onset of anorexia nervosa in women has decreased.

3 0

4 years ago

Read 2 more answers

Which is an equation of the line that contains the points (0,2) (4,0)

alekssr [168]

Answer:

Y= -1/2x+2

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (0,2), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=0 and y1=2.

Also, let's call the second point you gave, (4,0), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=4 and y2=0.

Now, just plug the numbers into the formula for m above, like this:

0 - 2

4 - 0

or...

-2

or...

m=-1/2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-1/2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(0,2). When x of the line is 0, y of the line must be 2.

(4,0). When x of the line is 4, y of the line must be 0.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-1/2x+b. b is what we want, the -1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (0,2) and (4,0).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(0,2). y=mx+b or 2=-1/2 × 0+b, or solving for b: b=2-(-1/2)(0). b=2.

(4,0). y=mx+b or 0=-1/2 × 4+b, or solving for b: b=0-(-1/2)(4). b=2.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(0,2) and (4,0)

y=-1/2x+2

4 0

4 years ago

Round 1.24236 to the nearest hundredth

matrenka [14]

Answer:

1.24

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers