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2 years ago

Evaluate 2/ 3 ÷ 4 /5 Give your answer as a fraction in its simplest form.

Mathematics

1 answer:

gulaghasi [49]2 years ago

7 0

Step-by-step explanation:

Our problem:

$\frac{2}{3} \div \frac{4}{5} = unknown$

How to solve?

Find the reciprocal (opposite) of 4/5, then multiply. Simplify if necessary.

Find the reciprocal:

$\frac{2}{3} \times \frac{5}{4} = unknown$

Multiply:

$\frac{2}{3} \times \frac{5}{4} = \frac{10}{12}$

Simplify:

$\frac{10 \div 2}{12 \div 2} = \frac{5}{6}$

5/6 is your answer.

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Please help! Find the equation of the line (graph provided in attached picture) Use exact numbers. y =_ x+_ ( _ represent blanks

Dennis_Churaev [7]

Answer:

$y = \frac{3}{4}x - 2$

Step-by-step explanation:

Equation of a line is given as $y = mx + b$

Where,

m = slope of the line = $\frac{y_2 - y_1}{x_2 - x_1}$

b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.

Let's find m and b to derive the equation for the line.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Use the coordinate pair of any two points on the line. Let's use the following,

$(0, -2) = (x_1, y_1)$ => on the line, when x = 0, y = -2

$(4, 1) = (x_2, y_2)$ => on the line, when x = 4, y = 1

Plug in the values and solve for m

$m = \frac{1 - (-2)}{4 - 0}$

$m = \frac{1 + 2}{4}$

$m = \frac{3}{4}$

b = -2 (the line intercepts the y-axis at this point)

Our equation would be =>

$y = mx + b$

$y = \frac{3}{4}x + (-2)$

$y = \frac{3}{4}x - 2$

5 0

3 years ago

Admission for a water park is 17.50$ per day a seson pass cost 125$. How many days must you go to the water park to make buying

Lemur [1.5K]

(17.5)(x)=125

Divide each side by 17.5 leaving the equation as x=7.14

6 0

3 years ago

Read 2 more answers

Divide. 6 by 3/5 PLEASE LOL

qaws [65]

Answer:

6 divided by 3/5 is 10

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally

sasho [114]

Answer:

a) $P(X$

$P(z$

b) $P(X>7.0)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z1.47)$

$P(z>1.47)=1-P(z$

c) $P(3$

$P(-0.882$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:

$X \sim N(4.5,1.7)$