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3 years ago

3 times 2/3 will be less then,greater then or equal to 3

Mathematics

2 answers:

Hatshy [7]3 years ago

4 0

Answer:

Equal to 3

The drawing will help

nikdorinn [45]3 years ago

4 0

Answer: Less than

Step-by-step explanation:

The answer will be 2 causing it to be less than 3

multiply 3*2 and get 6

1*3 and get 3

6/3 = 2

3 tuns into 3/1

Remember: Any whole numbers by itself turns into a fraction when multiply fractions and a whole number. So 3 becomes 3/1

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

yKpoI14uk [10]

Answer:

a) 0.5588

b) 0.9984

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 24

Standard Deviation, σ = 6.4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(score between 20 and 30)

$P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{6.4} \leq z \leq \displaystyle\frac{30-24}{6.4}) = P(-0.62 \leq z \leq 0.94)\\\\= P(z \leq 0.94) - P(z < -0.62)\\= 0.8264 - 0.2676 = 0.5588 = 55.88\%$

$P(20 \leq x \leq 30) = 55.88\%$

b) Sampling distribution

Sample size, n = 22

The sample will follow a normal distribution with mean 24 and standard deviation,

$s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{6.4}{\sqrt{22}} =1.36$

c) P(mean score of sample is between 20 and 30)

$P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{1.36} \leq z \leq \displaystyle\frac{30-24}{1.36}) = P(-2.94 \leq z \leq 4.41)\\\\= P(z \leq 4.41) - P(z < -2.94)\\= 1 - 0.0016 = 0.9984 = 99.84\%$

$P(20 \leq x \leq 30) =99.84\%$

5 0

4 years ago

Given sin(theta)= 7/11 and sec(theta)<0<br> Find cos(theta) and tan(theta)

allsm [11]

When given a trigonometric ratio, and asked to find another ratio, we draw a right triangle as shown in the picture.

From the pythagorean theorem we find the length of AB:

$|AB|= \sqrt{ AC^{2}- BC^{2} }= \sqrt{ 11^{2}- 7^{2} }= \sqrt{121-49} = \sqrt{72} = \sqrt{2*36}$ $= 6\sqrt{2}$

the numerical value of

cos∅=adjacent side/hypotenuse= $\frac{ 6 \sqrt{2} }{11}$

since sec∅=1/cos∅, and sec∅ is negative, then cos∅ is also negative.

Answer:

cos∅= $-\frac{ 6 \sqrt{2} }{11}$