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4 years ago

6

What is the area of the parallelogram?

2 answers:

irinina [24]4 years ago

4 0

Answer: 48cm2

Step-by-step explanation:

area = base x height

a = 8 x 6

a = 48

zmey [24]4 years ago

3 0

48cm2 is the answer because

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What is the sum of the finite arthemetic series (-10)+0+10+20....+130

Ganezh [65]

That would be 20,30,40,50,60,70,80,90,100,110,120,130. 200,150,300,250
650 + 250 = so the answer would be 900.

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4 years ago

What is the shortest height Makayla can be and still ride both rides?

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4’11 is the average hieght to ride both rides

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3 years ago

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X-( 26 + 4) = 65<br> x = ?

Pachacha [2.7K]

X-(26 + 4) =65 the answer is x=95

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3 years ago

Suppose that P(n) is a propositional function. Determine for which nonnegative integers n the statement P(n) must be true if a)

wel

Solution :

a). $P(0)$ is true

Then , $P(0+2)=P(2)$ is true.

$P(2+2)=P(4)$ is true

$P(4+2)=P(6)$ is true.

Therefore, we see that $P(n)$ is true for all the even integers : $\{0, 2,4,6,...\}$

b). $P(0)$ is true

Then , $P(0+3)=P(3)$ is true.

$P(3+3)=P(6)$ is true

$P(6+3)=P(9)$ is true.

Therefore, we see that $P(n)$ is true for all the multiples of 3 : $\{0, 3,6,9,12,...\}$

c). $P(0)$ and $P(1)$ is true, then $P(0+2)=P(2)$ is true

$P(1)$ and $P(2)$ is true, then $P(1+2)=P(3)$ is true.

$P(2)$ and $P(3)$ is true, then $P(2+2)=P(4)$ is true.

So, we observe that $P(n)$ is true for all the non- negative integers : $\{0, 1,2,3,4,5,6,...\}$ .

d). $P(0)$ is true,

So, $P(0+2)$ and $P(0+3)$ is true or $P(2)$ and $P(3)$ is true.

Now, $P(2)$ is true.

Again, $P(2+2)$ and $P(2+3)$ is true or $P(4)$ and $P(5)$ is true.

Now, $P(3)$ is true.

Again, $P(3+2)$ and $P(3+3)$ is true or $P(5)$ and $P(6)$ is true.

Thus,

$P(n)$ is true for all the non- negative integers except 1 : $\{0, 2,3,4,5,6,...\}$ .

3 0

3 years ago

Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probabili

3241004551 [841]

Answer:

$P(p>0.43) = 0.0436$

Step-by-step explanation:

Given

$p = 40\%$ -- proportion of baseball players

$n = 781$ --- selected sample

Required

Determine P(p>43%)

First, calculate the z score using:

$Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

This gives:

$Z = \frac{48\%-40\%}{\sqrt{\frac{40\% *(1 - 40\%)}{781}}}$

Convert % to decimal

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}$

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}$

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}$

$Z = \frac{0.03}{\sqrt{0.00030729833}}$

$Z = \frac{0.03}{0.01752992669}$

$Z = 1.71$

So:

$P(p>0.43) = P(Z>1.71)$

$P(p>0.43) = 1 - P(Z$

$P(p>0.43) = 1 - 0.9564$

$P(p>0.43) = 0.0436$

5 0

3 years ago