All categories

3 years ago

How to multiply fractions mixed numbers

Mathematics

2 answers:

nikitadnepr [17]3 years ago

5 0

Answer:

To multiply Mixed Fractions:

convert to Improper Fractions.

Multiply the Fractions.

convert the result back to Mixed Fractions.

Step-by-step explanation:

kipiarov [429]3 years ago

5 0

Answer:

Make them improper fractions and cross simplify.

Step-by-step explanation:

Turn your mixed numbers into improper fractions and if you can, to make things easier cross simplify the fractions. From there you can keep it as improper or turn it into a mixed number.

You might be interested in

Y’all. I need you to help me

Sergio039 [100]

Answer:

Step-by-step explanation:

PQ/QR = ST/TR

17.5/QR = 7/4

QR = (17.5 x 4)/7

QR = 70/7

QR = 10

3 0

3 years ago

2. The quality assurance department inspects its production line. The product either fails or passes the inspection. Past experi

Oksana_A [137]

Answer:

(a) $E(X) = 950$

(b) $COV = 0.007255$

Step-by-step explanation:

The given problem can be solved using binomial distribution since the product either fails or passes, the probability of failure or success is fixed and there are n repeated trials.

probability of failure = q = 0.05

probability of success = p = 1 - 0.05 = 0.95

number of trials = n = 1000

(a) What is the expected number of non-defective units?

The expected number of non-defective units is given by

$E(X) = n \times p \\\\E(X) = 1000 \times 0.95 \\\\E(X) = 950$

(b) what is the COV of the number of non-defective units?

The coefficient of variance is given by

$COV = \frac{\sigma}{E(X)}$

Where the standard deviation is given by

$\sigma = \sqrt{n \times p\times q} \\\\\sigma = \sqrt{1000 \times 0.95\times 0.05} \\\\\sigma = 6.892$

So the coefficient of variance is

$COV = \frac{6.892}{950}$

$COV = 0.007255$

(c) What is the probability of having more than 980 non-defective units?

We can use the Normal distribution as an approximation to the Binomial distribution since n is quite large and so is p.

$P(X > 980) = 1 - P(X < 980)\\\\P(X > 980) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\$

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).

$P(X > 980) = 1 - P(Z < \frac{979.5 - 950}{6.892} )\\\\P(X > 980) = 1 - P(Z < \frac{29.5}{6.892} )\\\\P(X > 980) = 1 - P(Z < 4.28)\\\\$

The z-score corresponding to 4.28 is 0.99999

$P(X > 980) = 1 - 0.99999\\\\P(X > 980) = 0.00001\\\\$

So it means that it is very unlikely that there will be more than 980 non-defective units.

8 0

4 years ago

Given xy+yx+ x-3 (x+y)

Elena-2011 [213]

Xy + yx+ x - 3x - 3y
xy + yx + -2x + 3y

5 0

4 years ago

The radius of the base of a cylinder is 39 in and its heigh is 33 in find the volume of the cylinder

Zina [86]

Answer:

157,685.9601

Step-by-step explanation:

The area of the base can be found by

$C=\pi r^2$

The the volume can be measured by the area of the base multiplied by the height.

6 0

3 years ago

Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Le

Contact [7]

Answer:

A C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Leah wants to earn at least 120 dollars a month and she has two job options. This is written as

5x + 8y > 120

She also can't work more than 20 hours, leading us to the second equation

x + y = 20

First we solve for one variable

y = 20 - x

then substitute it into the first equation

5x + 8(20 - x) = 120

Solve for x

5x + 160 - 8x = 120

3x = 40

x = 40/3

Then we solve for y

y = 20 - x

y = 20/3

x < 40/3

y > 20/3

B and D will not work because their x+y is greater than 20.

E will also not work because the value is less than 120

6 0

3 years ago