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Sophie [7]
3 years ago
12

Kristy ran 700 meters, while Jessica ran 4 kilometers. Who ran the furthest?Explain.

Mathematics
2 answers:
Digiron [165]3 years ago
6 0
Jessica ran further ince 4km is equivalent to 4000 meters, whereas Kristy only ran 700 meters. This is why Jessica ran more!
MissTica3 years ago
3 0
In order to compare the distances, we have to change them into one type of unit, 
so, 4 Km = 4,000 m

We know,4,000 > 700

In short, Jessica ran more than Kristy

Hope this helps!
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At a university, 12% of students smoke. Calculate the expected number of smokers in a random sample of 140 students from this un
Masteriza [31]

Answer:

a) The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.

b) No, it is unlikely that smoking habits and waking up early to go to the gym on Saturday are independent.

Step-by-step explanation:

To calculate the expected numbers of smokers in a sample with size n=140 and proportion p=12%, we use the expected value of the binomial distribution:

E(x)=n\cdot p=140\cdot 0.12=16.8

The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.

If we take a sample at the opening of the gym, the sample is not expected to be representative of the population of the students. Most of the students that go to the gym usually have healthy habits, so the proportions of smokers is expected to be lower than the average of the university population.

4 0
2 years ago
If g(x) = x4<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="absmiddle" class="l
ELEN [110]
Answer: 69,904

Explanation:
g(-16)= (-16)^4-(-16)^3+(-16)^2-(-16)
g(-16)= (65,536)-(-4,096)+(256)-(-16)
g(-16)= 65,536+4,096+256+16
g(-16)=69,904

4 0
3 years ago
A carpenter cut out a small trapezoid as a wooden support for the front step. it has an altitude of 4 inches. One base of the tr
docker41 [41]

Area of wooden support is 36 square inches

<em><u>Solution:</u></em>

Given that, carpenter cut out a small trapezoid as a wooden support for the front step

<em><u>The area of trapezoid is given as:</u></em>

area = \frac{a+b}{2} \times h

Where, "h" is the height

"a" and 'b" are the length of base

Here given that,

Height = h = 4 inches

a = 6 inches

b = 12 inches

Substituting the values we get,

area = \frac{6+12}{2} \times 4\\\\area = 18 \times 2\\\\area = 36

Thus area of wooden support is 36 square inches

6 0
3 years ago
Find the value of x and y. Show all your work neat and<br> in order.
Mazyrski [523]

Answer:

x = 21°

y = 29°

Step-by-step explanation:

a) Solving for x

Note that:

(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:

3x - 3 = 60° (Alternate interior angles)

Add 3 to both sides

3x - 3 +3 = 60 + 3

3x = 63°

x = 63°/3

x = 21°

b) Solving for y

Notes that:

(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°

3x - 3 + 4y + 4 = 180°

3x + 4y - 3 + 4 = 180°

3x + 4y + 1 = 180°

Note that x = 21

Hence

3(21) + 4y + 1 = 180°

63 + 1 + 4y = 180°

64 + 4y = 180°

Subtract 64 from both sides

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y = 116/4

y => 29°

8 0
2 years ago
The question is below thanks
Paha777 [63]

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

2rπ

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

\frac{angles}{360}=\frac{arc}{circumference}

Substitute in the given information and solve;

\frac{82}{360}=\frac{arc}{14pi}

arc = \frac{41}{180}*14pi

arc = \frac{287}{90}*pi

arc ~ 10.02

3 0
3 years ago
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