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3 years ago

9

Eleven students are competing in an art contest. In how

1 answer:

KatRina [158]3 years ago

5 0

Hi there

I think I may have the answer for you!

<u>Answer:</u>

<u />

A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

Please make sure to check my answer and mark it/

Jake

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Use the Remainder Theorem to find the remainder: (16x^4 – 8x^3 – 4x + 1) ÷ (2x + 1)

vodka [1.7K]

Answer:

5

Step-by-step explanation:

This illustrates the Remainder Theorem. If a polynomial f(x) is divided by x−a , the remainder is the constant f(a) , and f(x)=q(x)⋅(x−a)+f(a) , where q(x) is a polynomial with degree one less than the degree of f(x) . Synthetic division is a simpler process for dividing a polynomial by a binomial.

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3 years ago

Please help me with this

ExtremeBDS [4]

Answer:

Bottom left

Step-by-step explanation:

For it to be scalene, all 3 sides must be of different length, so cross off D. Acute means all angles are less then 90°, so cross off the top 2.

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2 years ago

Read 2 more answers

A mechanic pours 9 gallons of gasoline equally into 4 cans. How many gallons of gasoline are in each can?

PSYCHO15rus [73]

Answer:

2.25 gallons of gas in each can

Step-by-step explanation:

9/4=2.25

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2 years ago

If 3(x – 2) = 2x + 6, the value of x is<br> i will give you 35 points

Kryger [21]

3x - 6 = 2x + 6
3x = 2x + 6 + 6
3x = 2x + 12
3x - 2x = 12
x = 12

4 0

3 years ago

A person's blood pressure is monitored by taking 4 readings daily. The probability distribution of his reading had a mean of 13

ss7ja [257]

Answer:

a) Mean = 133, Standard deviation = 2.5

b) Normal distribution

c) 0.0026

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 4

Mean = 133

Standard deviation = 5

a) Mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day.

The sampling distribution has a mean equal to the population mean

$\bar{x} = \mu = 133$

The standard deviation of the sampling distribution is given by:

$\sigma_s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{5}{\sqrt{4}} = 2.5$

b) Shape of the sampling distribution

Central limit theorem:

When a large sample is drawn from a normal distribution, then the distribution of sample means approaches a normal distribution.

Since the distribution is normal, the sampling distribution of the sample mean will be bell shaped and follow a normal distribution.

c) P(sample mean exceeds 140)

$P( x > 140) = P( z > \displaystyle\frac{140 - 133}{2.5}) = P(z > 2.8)$

$= 1 - P(z \leq 2.8)$

Calculation the value from standard normal z table, we have,

$P(x > 140) = 1 - 0.9974 = 0.0026$

0.0026 is the probability that the sample mean exceeds 140.

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3 years ago