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2 years ago

Look at the image below. Find the area of the parallelogram.

Mathematics

1 answer:

Daniel [21]2 years ago

5 0

Answer:

5 x 8 = 40

Step-by-step explanation:

the formula for the area of a parallelogram is a = bh. Its the same as a square or rectangle. So you just have to multiply the lenght (5) and width (8) which equals 40.

Hope this help have a great day!

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It is impossible to get 5 aces when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probab

lianna [129]

Answer: P(5A) = 0

Step-by-step explanation:

There are four aces in total in a 52 card deck. Therefore the probability of getting 5 aces can be expressed as;

P(5A) = 4/52 × 3/51 × 2/50 × 1/49 × 0/48 = 0

Therefore, it is impossible to get 5 aces from a standard 52 cards deck

8 0

3 years ago

Which linear function represents the line given by the point-slope equation y + 7 = –2/3(x + 6)?a. f(x) = –2/3x – 11b. f(x) = –2

Pavel [41]

Answer:

option C

$y=\frac{-2}{3}x-11$

Step-by-step explanation:

The point slope equation of a line is given by

$y-y_1=m(x-x_1)$

Where m is the slope and (x1,y1) is the point on the point

$y + 7 =\frac{-2}{3}(x + 6)$

We need to write the equation in y=mx+b form

multiply -2/3 inside the parenthesis

$y + 7 =\frac{-2}{3}x-4$

Subtract 7 from both sides

$y=\frac{-2}{3}x-11$

4 0

3 years ago

A fast food restaurant executive wishes to know how many fast food meals teenagers eat each week. They want to construct a 99% c

Lana71 [14]

Answer:

The minimum sample size required to create the specified confidence interval is 2229.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when $M = 0.06, \sigma = 1.1$

$0.06 = 2.575*\frac{1.1}{\sqrt{n}}$

$0.06\sqrt{n} = 2.575*1.1$

$\sqrt{n} = \frac{2.575*1.1}{0.06}$

$(\sqrt{n})^{2} = (\frac{2.575*1.1}{0.06})^{2}$

$n = 2228.6$

Rounding up

The minimum sample size required to create the specified confidence interval is 2229.

7 0

3 years ago

Solve the system of equations.<br> 2.5y + 3x = 27<br> 5x – 2.5y = 5

worty [1.4K]

X=4 and y=6
For this, you should use simultaneous equations

3 0

3 years ago

Who knows how to do this Bc I don’t understand

Fynjy0 [20]

Answer:

WV should be equal to XY

Step-by-step explanation:

since it is the HL postulate meaning hypotenuse and leg, we need to show that the hypotenuses of both triangles are equal since we are already given that one of their legs are congruent. we are also given that they are right triangles.

7 0

3 years ago