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galina1969 [7]
3 years ago
11

Jane says that multiplying a decimal by 100 is the same as multiplying the decimal by three factors of 10. Is Jane correct ? exp

lain your answer
Mathematics
1 answer:
vladimir1956 [14]3 years ago
5 0
no because when I did .2 * 100 I got 20 but when I did .2 times 10 times 10 times 10 I got 200
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Find the new amount of 8 meters increased by 25%.
IrinaVladis [17]
The answer is 10 meters because 8 multiplied by 25% equals 2. 8 plus 2 is 10. So that means that the new amount of meters is 10 meters.
8 0
4 years ago
The slope of the line is m=3/4. One point is (x, 2) and (3,-4)<br> Find X
Viktor [21]

Answer:

x is 11

Step-by-step explanation:

We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)

Substitute the numbers into the equation

y--4=3/4(x-3)

simplify

y+4=3/4(x-3)

do the distributive property

y+4=3/4x-9/4

subtract 4 from both sides

y=3/4x-25/4

this is the equation of the line.

Since it says that (x,2) is a point in the equation, we can substitute it into the equation

2=3/4x-25/4

add 25/4 to both sides

33/4=3/4x

multiply by 4/3

11=x

we can double check by plugging (11,2) into the equation of the line.

2=3/4(11)-25/4

2=33/4-25/4

2=2

it works! :)

Hope this helps!

7 0
3 years ago
Here is a diagram that represents (3.1) ⋅ (1.4).
Firdavs [7]

Step-by-step explanation:

1. solution,

length of rectangle A(l)=3.1units

breadth of rectangle A(b)=1units

now,

area of rectangle A=l×b

=3.1units×1units

=3.1 sq units

2.solution,

length of rectangle B(l)=3.1units

breadth of rectangle B (b)=0.4units

now,

area of rectangleB=l×b

=3.1units×0.4units

=1.24 sq units

3.solution,

length=3.1units

breadth=1.4units

area =lxb

=3.1units x 1.4units

=4.34units

4 0
3 years ago
Read 2 more answers
Calculate a 99% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford i
dimulka [17.4K]

Answer:

0.493 - 2.58\sqrt{\frac{0.493(1-0.493)}{347}}=0.4238

0.493 + 2.58\sqrt{\frac{0.493(1-0.493)}{347}}=0.5622

The 99% confidence interval would be given by (0.4238;0.5622)

Step-by-step explanation:

For this case we assume this previous info: "Among a simple random sample of 347 American adults who do not have a four-year college degree and are not currently enrolled in school, 171 said they decided not to go to college because they could not afford school."

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

For this case the estimated proportion is given by:

\hat p= \frac{171}{347}= 0.493

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.493 - 2.58\sqrt{\frac{0.493(1-0.493)}{347}}=0.4238

0.493 + 2.58\sqrt{\frac{0.493(1-0.493)}{347}}=0.5622

The 99% confidence interval would be given by (0.4238;0.5622)

4 0
3 years ago
PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!
charle [14.2K]

Answer:

hope this is ok...

1. a) f(h) = -4

  b) f(h) = 4

  c) f(h) = -6

  d) f(h) = -8

2. a) f(h) = 5

   b) f(h) = 11

   c) f(h) = 3

   d) f(h) = -1

3. a) f(x) = 11

   b) f(x) = -5

   c) f(x) = -245

   d) f(x) = -89

4. f(56) = -29.35 or -29.346046

5. f(200) = 10√2 - 56 or -41.857864 (if u want u can round off the decimal to -41.86)

Step-by-step explanation:

1. f(h) = | h - 10 |

a) f(h) = | 6 - 10 | = -4

b) f(h) = | 14 - 10 | = 4

c) f(h) = | 4 - 10 | = -6

d) f(h) = | 2 - 10 | = -8

2. f(h) = | h - 2 |

a) f(h) = | 7 - 2 | = 5

b) f(h) = | 13 - 2 | = 11

c) f(h) = | 5 - 2 | = 3

d) f(h) = | 1 - 2 | = -1

3. f(x) = x² + 11

a) f(x) = -0² + 11 = 11

b) f(x) = -4² + 11 = -5

c) f(x) = -16² + 11 = -245

d) f(x) = -10² + 11 = -89

4. f(x) = 8√x - 31

a) f(56) = 8√56 - 31 = -29.35

5. f(x) = 2√x - 56

a) f(200) = 2√200 -56 = -41.86

Please mark Brainliest....

3 0
3 years ago
Read 2 more answers
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