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3 years ago

PLEASE HELP Find the diameter of the object.

Mathematics

2 answers:

larisa [96]3 years ago

8 0

The diameter of the object is 4

MA_775_DIABLO [31]3 years ago

4 0

Answer:

d the diameter is 4 inches.

Step-by-step explanation:

d=2r=2×2=4

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A university's freshman class has 5000 students. 50% of those students are majoring in Computer Science. How many students in th

Mazyrski [523]

2500 students are computer science majors

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3 years ago

Monique drew a square and inscribed circle on a sheet of paper, as shown below

Irina-Kira [14]

If you know the area of the square is 256 and the area of the circle is 200.96 you subtract 200.96 from 256 and you get 55.04 is the area of the square that is not covered by the circle. so 55.04/256 because that will give you the percent of the area that is outside that circle but inside the square and you get .215 or 21.50%

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2 years ago

Please answer ASAP. The question is down below

Nadusha1986 [10]

Answer: 1) D 2) B

Step-by-step explanation:

1) The denominator cannot equal zero, Factor the denominator to find the zeros. n³ - 4n² + 3n = 0

n(n - 3)(n - 1) = 0

n=0 n-3=0 n-1=0

n=0 n=3 n=1

2) In order to be a rational expression, it must be in the form $\dfrac{a}{b}$ where both a and b are integers.

Since $\sqrtb$ $\sqrt b$ is irrational and not an integer, then the expressions containing an irrational term after simplified cannot result in an integer.

Therefore, options (i) and (iv) are not rational expressions.

Option (iii) contains b as an exponent. Since there is no information about b, it could be a fraction, which means it could be an irrational number.

3 0

3 years ago

F(n) = 10*(10x + 10) f(10) = ?

ohaa [14]

Answer:

f(10) = 1100

given:

f(n) = 10(10x + 10)

solve:

f(10) = 10(10(10)+10)

f(10) = 10(100+10)

f(10) = 10(110)

f(10) = 1100

6 0

2 years ago

Consider the probability that exactly 90 out of 148 students will pass their college placement exams. Assume the probability tha

Pepsi [2]

Answer:

0.0491 = 4.91% probability that exactly 90 out of 148 students will pass their college placement exams.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

Assume the probability that a given student will pass their college placement exam is 64%.

This means that $p = 0.64$

Sample of 148 students:

This means that $n = 148$

Mean and standard deviation:

$\mu = E(X) = np = 148(0.64) = 94.72$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{148*0.64*0.36} = 5.84$

Consider the probability that exactly 90 out of 148 students will pass their college placement exams.

Due to continuity correction, 90 corresponds to values between 90 - 0.5 = 89.5 and 90 + 0.5 = 90.5, which means that this probability is the p-value of Z when X = 90.5 subtracted by the p-value of Z when X = 89.5.

X = 90.5

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{90.5 - 94.72}{5.84}$