All categories

2 years ago

6 9/10 x 20/21 Simplify your answer completely and change to a mixed number.

Mathematics

1 answer:

Sidana [21]2 years ago

5 0

Answer:

$6\frac{4}{7}$

Step-by-step explanation:

Hello,

I am going to start with to change to a improper fraction:

1. I will convert 6 and 9/10 into a improper fraction:

$69/10$

2. Now that I have converted the mixed fraction into a improper I can multiply the numerator and the denominator.

$69 * 20 / 21 * 10 = 1380/210$

3. Now I can simplify this value and convert it into a mixed fraction

$46/7$

After further simplifying I can convert this into an mixed number

$6\frac{4}{7}$

You might be interested in

Three less than two times a number is 55. What is the number ?

Aloiza [94]

29
2x29=58-3 =55
3-2x (x=29) =55
29x2=58-3

5 0

3 years ago

Read 2 more answers

there are two bags containing only blue and black marbles bag a has 4 blue marbles and 6 black marbles. Bag b has 6 blue marbles

Elena L [17]

Answer

Arranged from least likely to most likely

- Event 4. choosing a yellow marble from bag B

- Event 3. choosing a blue marble from bag B

- Event 4 choosing a blue marble from bag A

Explanation

Bag A

4 blue marbles and 6 black marbles.

Bag B

6 blue marbles and 14 black marbles.

So, to arrange given cases in the order of least likely to most likely, we need to find the probabilities of each of them.

Event 1. choosing a blue or black marble from bag B

This would entail picking bag B first, then picking from either blue or black ball first. Since all the balls in the bag are either black. So, the probability is given as

Probability

= (Probability of picking one type of bag) (Probabiliy that the ball is either blue or black)

= (0.5) (1)

= 0.5

Event 2. choosing a blue marble from bag A

Probability

= (Probability of picking bag A) (Probabiliy that the ball is blue from A)

= (0.5) (4/10)

= (0.5) (0.4)

= 0.2

Event 3. choosing a blue marble from bag B

Probability

= (Probability of picking bag B) (Probabiliy that the ball is blue from B)

= (0.5) (6/20)

= (0.5) (0.3)

= 0.15

Event 4. choosing a yellow marble from bag B

Probabiliity

= ((Probability of picking bag B) (Probabiliy that the ball is yellowfrom B)

= (0.5) (0/20)

= 0.5 (0)

= 0

0 < 0.15 < 2 < 0.5

Hope this Helps!!!

6 0

1 year ago

A game is played with a spinner on a circle, like the minute hand on a clock. The circle is marked evenly from 0 to 100, so, for

zheka24 [161]

Answer:

The probability is 1/2

Step-by-step explanation:

The time a person is given corresponds to a uniform distribution with values between 0 and 100. The mean of this distribution is 0+100/2 = 50 and the variance is (100-0)²/12 = 833.3.

When we take 100 players we are taking 100 independent samples from this same random variable. The mean sample, lets call it X, has equal mean but the variance is equal to the variance divided by the length of the sample, hence it is 833.3/100 = 8.333.

As a consecuence of the Central Limit Theorem, the mean sample (taken from independant identically distributed random variables) has distribution Normal with parameters μ = 50, σ= 8.333. We take the standarization of X, calling it W, whose distribution is Normal Standard, in other words

$W = \frac{X - \mu}{\sigma} = \frac{X - 50}{8.333} \simeq N(0,1)$

The values of the cummulative distribution of the Standard Normal distribution, lets denote it $\phi$ , are tabulated and they can be found in the attached file, We want to know when X is above 50, we can solve that by using the standarization

$P(X > 50) = P(\frac{X-50}{8.33} > \frac{50-50}{8.33}) = P(W > 0) = \phi(0) = 1/2$

Download pdf

8 0

3 years ago

What number is one thousand less then 921,438 explain

Furkat [3]

920,438. 921,438-1,000=920,438

5 0

3 years ago

Read 2 more answers

The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triang

kipiarov [429]

Answer:

The new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.

Step-by-step explanation:

The image related to the exercise is necessary, to be able to solve therefore the attached one.

We have the following information:

Perimeter of the triangle = 58 units

Hypotenuse = 24 units

We have that the other two sides are equal and have x units, therefore we have the following:

x + x + 24 = 58

2 * x = 58-24

2 * x = 34

x = 34/2

x = 17

Now the triangle rotates around line k , and then it will result in a cone, which is a three-dimensional shape.

Therefore, the new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.

4 0

3 years ago