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3 years ago

Find a number such that its two-third is equal to 5/4

Mathematics

1 answer:

levacccp [35]3 years ago

7 0

Answer:

x = 15/8.

Step-by-step explanation:

Create an equation, let the number be x:

2/3 * x = 5/4

Now we multiply both sides by 3/2

3/2 * 2/3 x = 5/4 * 3/2

x = 15/8.

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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): <em>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.</em>

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

3 years ago

Iplease need help will mark brainliest

STALIN [3.7K]

Answer:

6. xint=-7

yint=-3

7. xint=-7

yint=-5

Step-by-step explanation:

3 0

3 years ago

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ANSWER FAST PLZ 25POINTS!!!!!!!!!!!

Ann [662]

Answer:

D, 75.36 inches.

Step-by-step explanation:

The circumference of a circle is 2*pi*r, where pi=3.14

Using this, 2*3.14*12=75.36 inches.

3 0

3 years ago

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Daniel drew a toy from a treasure chest containing 30 different toys. He selected a bouncy ball without replacement and then sel

borishaifa [10]

Answer:

$Pr = \frac{1}{870}$

Step-by-step explanation:

Given

$n =30$

Required

Probability of selecting 2 toys of different types

From the question, we understand that all toys are different i.e. 1 of each type.

And the selection is without replacement;

So, after the first toy is selected; there are n - 1 toys left.

So, the probability is:

$Pr = \frac{1}{n} * \frac{1}{n - 1}$

Substitute $n =30$

$Pr = \frac{1}{30} * \frac{1}{30- 1}$

$Pr = \frac{1}{30} * \frac{1}{29}$

$Pr = \frac{1}{30*29}$

$Pr = \frac{1}{870}$

5 0

3 years ago

(3x-5) (7x+5) find x

jeka94

Answer:

Step-by-step explanation:

3x-5+7x+5+90=180

x=9

6 0

3 years ago