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2 years ago

The quadrilateral shown is a parallelogram. If AC = 28, what is the measure of AE?

Mathematics

1 answer:

Lera25 [3.4K]2 years ago

5 0

Answer:

Step-by-step explanation:

Find the diagram of the parallelogram attached

According to the parallelogram shown, M is the midpoint of length of diagonal AC and BD.

If E is the midpoint of AC, then AE = EC and AE + EC = AC

Given AE + EC = AC

Substituting AE = EC into the formula, it becomes;

AE+AE = AC

2AE = AC

AE = AC/2

Given the length of side AC = 28;

AE = 28/2

AE = 14

Hence the measure of length AE is 14

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Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate

Leviafan [203]

Answer:

Probability of having student's score between 505 and 515 is 0.36

Given that z-scores are rounded to two decimals using Standard Normal Distribution Table

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu (Mean) = 510, SD = 10.4 we have z(x) by using z(x) = (x - Mu)/SD as under:

In our case, we have x = 505 & 515

Approach 1 using Standard Normal Distribution Table:

z for x=505: z(505) = (505-510)/10.4 gives us z(505) = -0.48

z for x=515: z(515) = (515-510)/10.4 gives us z(515) = 0.48

Afterwards using Normal Distribution Tables and rounding the values to two decimals we find the probabilities as under:

P(505) using z(505) = 0.32

Similarly we have:

P(515) using z(515) = 0.68

Now we may find the probability of student's score between 505 and 515 using:

P(505 < x < 515) = P(515)-P(505) = 0.68 - 0.32 = 0.36

PS: The standard normal distribution table is being attached for reference.

Approach 2 using Excel or Google Sheets:

P(x) = norm.dist(x,Mean,SD,Commutative)

P(505) = norm.dist(505,510,10.4,1)

P(515) = norm.dist(515,510,10.4,1)

Probability of student's score between 505 and 515= P(515) - P(505) = 0.36

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6 0

2 years ago

Andrew went to the store with $200.00. He bought 2 pair of shorts for $25.00 each, he bought 3 shirts for $22.00 each, and he bo

kap26 [50]

200-(25•2)=150
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2 years ago

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If eight trash bags last for thirty days then how many trash bags do you need for 180 days

34kurt

Let's Just See How Many Times 30 Goes Into 180

$\frac{180}{30} = 6$
Since 8 trash bags last 30 days, let's multiply

$6 \times 8 = 48 \: bags$
ANSWER

You'll Need 48 Trash Bags For 180 Days

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3 years ago

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ANEK [815]

32% = 0.32

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