What is the perimeter of ΔYXZ? 3.5 in. 5.3 in. 6.4 in. 7.8 in.

At a Psychology final exam, the scores are normally distributed with a mean 73 points and a standard deviation of 10.6 points. T

USPshnik [31]

Answer:

The score that separates the lower 5% of the class from the rest of the class is 55.6.

Step-by-step explanation:

Problems of normally distributed samples 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.

In this question:

$\mu = 73, \sigma = 10.6$

Find the score that separates the lower 5% of the class from the rest of the class.

This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.

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

$-1.645 = \frac{X - 73}{10.6}$

$X - 73 = -1.645*10.6$

$X = 55.6$

The score that separates the lower 5% of the class from the rest of the class is 55.6.

3 0

2 years ago

Use Gauss's Law to find the charge contained in the solid hemisphere x2 + y2 + z2 ≤ a2, z ≥ 0, if the electric field is E(x, y,

Anit [1.1K]

Answer: $\frac{16}{3}$ π $a^{3}$ . 

Given:

$x^{2}+y^{2}+z^{2} \leq a^{2}, z \geq 0$

Using Gauss's Law = ∫∫s E ·dS

= ∫∫∫ div E dV,

⇒ Divergence (Gauss') Theorem

= ∫∫∫ (1+1+6) dV

= 8×(volume of the hemisphere, radius "a")

= 8× ( $\frac{1}{2}$ )(4/3)π $a^{3}$

= $\frac{16}{3}$ π $a^{3}$ . 

6 0

2 years ago

In the expression " 5.3t - (20÷4) + 11" what part is a quotient? Describe its parts.

enyata [817]

Answer:

(20 divided by 4) is the quotient

Step-by-step explanation:

4 0

2 years ago

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The probability that a professional baseball player will get a hit is 1/3. Calculate the exact probability that he will get at l

Evgesh-ka [11]

It is given here that there is 1/3 probability of professional baseball player will get a hit. Hence if at least three hits are gained out of 5 attempts, the calculation goes: 5C3* (1/3)^3*(2/3)^2 + 5C4* (1/3)^4*(2/3)^1 +5C5 *(1/3)^5*(2/3)^0 equal to 0.21.

3 0

2 years ago

Vicki has 210 baseball cards and buys an additional 15 cards every week. Jeb has 275 baseball cards and buys an additional 10 ca

Hitman42 [59]

Answer:

11 weeks

Step-by-step explanation:

5 0

2 years ago

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