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3 years ago

Percentage Practice- What percent of 24 is 42?

Mathematics

1 answer:

Oduvanchick [21]3 years ago

5 0

Answer:

24/42

Step-by-step explanation:

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Find mZY. 42-/3 N Y O 84 Х mZY = Submit Please help

Murljashka [212]

Answer:

$m\angle Y=30^{\circ}$

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

$\cos Y=\frac{42\sqrt{3}}{84},\\Y=\arccos(\frac{42\sqrt{3}}{84})=\boxed{30^{\circ}}$

3 0

3 years ago

When Ryan is serving at a restaurant, there is a 0. 75 probability that each party will order drinks with their meal. During one

Mnenie [13.5K]

Answer:

0.82

Step-by-step explanation:

We are given that

Total number of parties=n=6

The probability that each party will order drinks with their meal,q=0.75

The probability that party will not order drink with their meal=p=1-0.75=0.25

We have to find the probability that at least one party will not order drinks with their meal

Binomial probability distribution

$P(x=r)=nC_rq^{n-r}p^r$

Using the formula

$P(x=0)=6C_0(0.75)^6$

$P(x=0)=\frac{6!}{6!}(0.75)^6$

Using formula; $nC_r=\frac{n!}{r!(n-r)!}$

$P(x=0)=(0.75)^6$

$P(x\geq 1)=1-P(x=0)$

$P(x\geq 1)=1-(0.75)^6$

$P(x\geq 1)=0.82$

Hence, the probability that at least one party will not order drinks=0.82

3 0

3 years ago

What is the slope of (-5,1) (5,2)

WARRIOR [948]

Check the answer below its correct(or above)

8 0

3 years ago

Read 2 more answers

What is better,a bar graph or a pie chart?

klio [65]

Answer:

Pie chart

Step-by-step explanation:

5 0

3 years ago

What is an equation of the line that passes through the point

VladimirAG [237]

Answer:

The equation of line parallel to given line passing through (6,7) is: $y = \frac{2}{3}x+3$

Step-by-step explanation:

Given equation of line is:

$2x-3y = 9$

We have to convert the equation in slope-intercept form. The slope-intercept form is given by:

$y= mx+b$

Adding 3y on both sides and subtracting 9 from both sides

$2x-3y+3y-9 = 9+3y-9\\2x-9 = 3y\\3y = 2x-9$

Dividing whole equation by 3

$\frac{3y}{3} = \frac{2x-9}{3}\\y = \frac{2}{3}x - \frac{9}{3}\\y = \frac{2}{3}x-3$

Let m be the slope of given line then

m = 2/3

Let m1 be the slope of line parallel to given line. Slopes of two parallel lines is equal that means:

m = m1 = 2/3

The equation of line will be:

$y = m_1x +b\\y = \frac{2}{3}x+b$

Putting the point (6,7) in equation

$7 = \frac{2}{3}(6) +b\\7 = 2(2) +b\\7 = 4+b\\b = 7-4\\b = 3$

Putting the value of b

$y = \frac{2}{3}x+3$

Hence,

The equation of line parallel to given line passing through (6,7) is: $y = \frac{2}{3}x+3$

8 0

3 years ago