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2 years ago

ANSWER ASAP WILL GIVE BRAINLIEST PLS HELP

Mathematics

1 answer:

jeka57 [31]2 years ago

3 0

Answer:

Step-by-step explanation:

11) Probability of Black is 1/4

12) P of not orange is 3/4

13) P of blue or black is 1/2

this should be pretty easy for you, why is it tough? don't say .. " it just is" say what makes it tough. I'm curious why this is difficult. :?

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Let f(x)=x^3 and g(x)= √x, and h(x)=x/3. Find each of the following: f(g(h(6)))

rewona [7]

Answer:

go from inside out.

h(x)=x/3

$(\sqrt{2})^{3}$ => h(6) = 6/3 = 2

g(x) = $\sqrt{x}$

=> g(h(6)) = g(2) = $\sqrt{2}$

f(x) = $x^{3}$

=> f(g(h(6))) = f( $\sqrt{2}$ ) = $(\sqrt{2} )^{3}$

6 0

3 years ago

a survey amony freshman at a certain university revealed that the number of hours spent studying the week before final exams was

Marat540 [252]

Answer:

Probability that the average time spent studying for the sample was between 29 and 30 hours studying is 0.0321.

Step-by-step explanation:

We are given that the number of hours spent studying the week before final exams was normally distributed with mean 25 and standard deviation 15.

A sample of 36 students was selected.

Let $\bar X$ = sample average time spent studying

The z-score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ ~ N(0,1)

where, $\mu$ = population mean hours spent studying = 25 hours

$\sigma$ = standard deviation = 15 hours

n = sample of students = 36

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, Probability that the average time spent studying for the sample was between 29 and 30 hours studying is given by = P(29 hours < $\bar X$ < 30 hours)

P(29 hours < $\bar X$ < 30 hours) = P( $\bar X$ < 30 hours) - P( $\bar X$ $\leq$ 29 hours)

P( $\bar X$ < 30 hours) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ < $\frac{ 30-25}{\frac{15}{\sqrt{36} } }} }$ ) = P(Z < 2) = 0.97725

P( $\bar X$ $\leq$ 29 hours) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ $\leq$ $\frac{ 29-25}{\frac{15}{\sqrt{36} } }} }$ ) = P(Z $\leq$ 1.60) = 0.94520

So, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2 and x = 1.60 in the z table which has an area of 0.97725 and 0.94520 respectively.

Therefore, P(29 hours < $\bar X$ < 30 hours) = 0.97725 - 0.94520 = 0.0321

Hence, the probability that the average time spent studying for the sample was between 29 and 30 hours studying is 0.0321.

7 0

2 years ago

What is 67% of 12? I NEED AN ANSWER QUICK.

professor190 [17]

The correct answer is C. you can get this by multilingual 67x0.12

4 0

3 years ago

Help Please!!!!!!! Need Help!!!

Citrus2011 [14]

Answer:

925

Step-by-step explanation:

In order to solve this summation formula, you need to first understand what it means. The summation symbol is tell you to add the terms in a sequence. Below the summation sign, there is a variable and number; the variable n is the index of summation and the number 1 is the lower limit of summation or the first value of the sequence. The number 25 above the summation sign is the upper limit (so there would be 25 terms, with the first being 1). The polynomial to the right of the summation symbol represents the explicit function for each term. For example, using this, the first term would be (3(1) - 2) and the second (3(2) - 2) and so on. This means the value of that equation is:

(3(1) - 2) + (3(2) - 2) + (3(3) - 2)... + (3(25) - 2)

One way to solve this is to write all 25 of the terms and add them, but since that's tedious, you can solve this by first doing the basic summation of 1 to 25 and then inputting that into the equation:

1 + 2 + 3... + 25 = (25 × 26)/2 (when the first number is one and the rate of change is 1, the sum of the terms in a sequence is (n*(n+1))/2)

= 325

Now, that you know what the sum of the sequence of terms 1 to 25 are, you can multiply this by the constant since if you break up the equation you would be multiplying 3 by 1 then 3 by 2 and so on until 25, or 3 × (1 + 2 + 3... + 25):

3 × 325 = 975

At this point, you just need to add (-2) × 25. You do this because since there are 25 terms, if you subtracted 2 each time, you would subtract 2 twenty-five times:

975 + ((-2) × 25)

= 975 - 50

= 925

3 0

2 years ago

How many solutions exist for the system of equations graphed below

joja [24]

The number of solutions that exist for the system of equations is equal to the number of independent linear equations that consist the matrix. For example, in order to find the values of two independent variables, then we have to provide two independent equations according to law of degree of freedom.

5 0

3 years ago

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