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2 years ago

25 feet in 4 seconds; 80 feet in x seconds write a proportion for each phrase and solve it

Mathematics

1 answer:

ozzi2 years ago

3 0

Answer:

12.8 seconds

Step-by-step explanation:

Create a proportion where x is the number of seconds for 80 feet

$\frac{25}{4}$ = $\frac{80}{x}$

Cross multiply and solve for x

25x = 320

x = 12.8

So, the answer is 12.8 seconds

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During a cold winter, the temperature stayed below zero for 10 days (ranging from −20 to −5). The variance of the temperatures o

Serjik [45]

Answer:

The variance of the temperatures of the 10 day period must be at least zero.

Step-by-step explanation:

The variance is the expectation of the squared deviation of a random variable from its mean. It measures how far a set of numbers are spread out from their average value.

Its unit of measure corresponding to the square of the unit of measure of the variable. In this case, the variance of the temperatures is expressed in (°C)². The variance has a minimum value of 0.

Since the variance is squared, it will always have values greater than zero.

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2 years ago

Jasmine needs to reduce the height of a picture from five inches to two inches so it will fit in the yearbook. What percentage o

sasho [114]

The picture's height was reduced by 60% to 40%

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2 years ago

A jar contains 6 yellow marbles, 4 black marbles, and 2 purple marbles. Two marbles are picked at random, without replacement. W

ludmilkaskok [199]

Answer:

The probability of selecting both yellow is 5/22.

Step-by-step explanation:

Given the number of yellow marbles = 6

Black marbles = 4

Purple marble = 2

Now find the total number of marbles in the jar.

Thus total marbles = Yellow marbles + Black marbles + Purples marble

Now insert the values in the above formula.

Total marbles = 6 + 4 + 2

Total marbles = 12

The probability of 2 yellow marble:

$= \frac{6}{12} \times \frac{5}{11} \\= \frac{5}{22}$

Thus, the probability of selecting both yellow is 5/22.

3 0

3 years ago

One of the events in the Winter Olympics is the Men's 500-meter Speed Skating.

poizon [28]

Answer:

Mean: $\bar x = 40.61$

$Median =40.2$

$Mode = 43.4$

Step-by-step explanation:

Given

See attachment for data

Solving (a): The mean

Mean is calculated as:

$\bar x = \frac{\sum x}{n}$

From the attached:

$n = 14$

So, the mean is:

$\bar x = \frac{43.4+43.4+43.4+43.1+43.2+40.2+40.2+40.1+40.3+39.44+39.17+38.03+38.19+36.45}{14}$

$\bar x = \frac{568.58}{14}$

$\bar x = 40.61$

Solving (b): The median

$n = 14$ ; this is an even number. So, the median is:

$Median = \frac{1}{2}(n+1)$

$Median = \frac{1}{2}(14+1)$

$Median = \frac{1}{2}(15)$

$Median = 7.5th$

This implies that the median is the average of the 7th and 8th item.

Next, is to order the data (in ascending order): 36.45, 38.03, 38.19, 39.17, 39.44, 40.1, 40.2, 40.2, 40.3, 43.1, 43.2, 43.4, 43.4, 43.4.

The 7th and 8th items are: 40.2 and 40.2

The median is:

$Median = \frac{1}{2}(40.2 + 40.2)$

$Median = \frac{1}{2}*80.4$

$Median =40.2$

Solving (c): The mode

43.4 has the highest number of occurrence.

So:

$Mode = 43.4$

8 0

2 years ago

The number of boys varies directly as the number of girls and inversely as the number of teachers. When there are 24 boys and 16

lidiya [134]

SO from what I did was...

Since 24 x 3 = 72 , I did the same to 16.

16 x 3 = 48

But because instead of their being 3 teachers there is 1... What I did is just was to divide 48 / 2 which gave me the answer of 24...

So what I think the answer is...

There are 72 boys, 24 girls, and 1 teacher...

Unless I am just dumb and it would be 48 girls, but I think I did it right.

I hope I was able to help out.

3 0

2 years ago

25 feet in 4 seconds; 80 feet in x seconds write a proportion for each phrase and solve it​

25 feet in 4 seconds; 80 feet in x seconds write a proportion for each phrase and solve it