What is 4x - 3 and what does y mean???? I’m in algebra

In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 o

ExtremeBDS [4]

Answer:

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

53% reported that they entered a profession closely related to their college major.

This means that $p = 0.53$

9 of those survey subjects are randomly selected

This means that $n = 9$

What is the probability that 3 of them entered a profession closely related to their college major?

This is P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348$

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

6 0

3 years ago

Abel planned for a garden to be 42 m long but found that it needs to be 24 m long to fit in his backyard. He found the change of

Tom [10]

Question:

Abel planned for a garden to be 42 m long but found that it needs to be 24 m long to fit in his backyard. He found the change of scale below.

$\frac{42m}{7}/{\frac{24m}{7} = \frac{6}{4}$

Which is Abel’s error?

Abel should have written the ratio as $24 metres/7 metres$

Abel should have written the ratio as $24 metres/42 metres$

Abel should have divided both numbers by 6.

Abel should have divided both numbers by 4.

Answer:

Abel should have divided both numbers by 6.

Step-by-step explanation:

Given

Measured Length of backyard = 42m

Actual Length of backyard = 24m

Measured Ratio: $\frac{42m}{7}/{\frac{24m}{7} = \frac{6}{4}$

Required

Error in calculation of measured ratio

From Abel's calculation:

It can be observed that He divided both numbers by 7

Though 42/7 = 6 but that's not so for 24/7

24/7≠4;

Instead 24/7 = 3.43 (Approximated)

To get the actual ration, he has to divide both numbers by the highest common factor

The common factors of 42 and 24 include 2,3,6 of which the highest is 6

Hence; HCF of 42 and 24 = 6

So, we can conclude that the error in his calculation is having not dividing both numbers by 6

7 0

3 years ago

Read 2 more answers

What is the value of S4 for

zzz [600]

Answer:

90

Step-by-step explanation:

To find s4 we find sum of values when n=1,n=2,n=3,n=4

given expression is $6(2)^{n-1}$

n=1 , plug in 1 for n

$6(2)^{1-1}=6$

n=2

$6(2)^{2-1}=12$

n=3

$6(2)^{3-1}=24$

n=4

$6(2)^{4-1}=48$

Sum of all 4 terms = 6+12+24+48=90

4 0

3 years ago

Petra jogs 5 miles in 40 minutes at the rate how long would it take her to jog 11 miles

KatRina [158]

88 minutes (1 hour and 28 mins)

Since 5 miles takes 40 minutes, multiplying both numbers by 2 gets you to 10 miles in 80 minutes. To get the extra 1 more miles you have to find the unit rate

5 miles in 40 minutes : divided both numbers by 5 to get
1 mile in 8 minutes
add the one mile in 8 minutes to the 10 miles in 80 mins and you get 11 miles in 88 minutes

6 0

3 years ago

9. The sum of 10 and 7 times a number is 59. What is the<br> number? (Use n as the variable.)

PSYCHO15rus [73]

10+7n=59
7n=59-10
7n=49
n=49/7
n=7

4 0

3 years ago

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