in a standard inch ruler how many 3/8 are in 6 inches

The probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

What is probability?

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

a.

i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503

ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324

iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208

iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441

v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677

b.

i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.

ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.

iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.

iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.

v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.

c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.

Hence, the probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

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Answer:

B. A student was most likely to have summer as their favorite season, whether or not they have allergies

Step-by-step explanation:

If you look at the chart. There is a majority under the summer column. Both those who have and don't have allergies favor summer.

Answer:

1. Alisa 2. 20% 3. 16%

Step-by-step explanation: I took the test

Alisa has the greater probability of selecting 1 red and then 1 blue tile because Alisa's probability is 20% and Joseph's probability is 16%

The Probability of an event E denoted by P(E) is calculated using the formula ,

P(E) = number of favorable outcomes/total number of outcomes

In the question ,

it is given that

number of red tiles in the bag = 4

number of blue tiles in the bag = 1

total number of tiles in the bag = 5

Alisa select a tile, not replace it, then select a second tile,

So Probability to select a red tile by Alisa ,P(R) = 4/5

since the tile is not replaced , the total number of tiles = 4

and Probability to select a blue tile by Alisa ,P(B) = 1/4 .

So the Alisa's probability becomes P(R)*P(B) = 4/5*1/4 = 1/5 = 20%

Joseph select a tile, replace it, then select a second tile.

So Probability to select a red tile by Joseph ,P(R) = 4/5

since the tile is replaced , the total number of tiles remains same = 5

and Probability to select a blue tile by Joseph ,P(B) = 1/5 .

So the Joseph's probability becomes P(R)*P(B) = 4/5*1/5 = 4/25 = 16%  .

hence Alisa has greater probability than Joseph .

Therefore ,  Alisa has the greater probability of selecting 1 red and then 1 blue tile because Alisa's probability is 20% and Joseph's probability is 16%.

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The tοtal cοst οf the shirts including a 6.5% sale tax be greater if the tax was applied befοre a 15% discοunt is taken.

Discοunt is the state οf having a bοnd's price lοwer than its face value. The difference between the purchase price and the item's par value is the discοunt.

Discοunts are different types οf price reductiοns οr deductiοns frοm a prοduct's cοst. It is frequently emplοyed in cοnsumer transactiοns when cοnsumers receive discοunts οn a range οf gοοds. The % discοunt rate is prοvided.

Here Let us take the marked price οf shirt = $100.

If 15% discοunt then Cοst price οf shirt = 100%-15%=85%

Then cοst price = 85% οf $100

=> Cοst price = 85/100*100 = $85

Nοw sale tax is 6.5% then ,

Cοst price with sale tax = 85+6.5% οf 85 = 85+5.5 = $90.5

Nοw If tax applied befοre 15% discοunt then,

Cοst price = 100+6.5% 0f 100 = 100+6.5 = $106.5

Hence the tοtal cοst οf the shirts including a 6.5% sale tax be greater if the tax was applied befοre a 15% discοunt is taken.

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Answer:

parent function is the simplest function that still satisfies the definition of a certain type of function. For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x. This is the simplest linear function.

The parent function of a square root function is y = √x

Answer:

range=largest -smallest

16-5=11

standard deviation =

mean 5+9+ 10+12 +14+16=66

 66 divided by 6=11 etc....

Step-by-step explanation:

Answer: b= a/b

Step-by-step explanation:

Answer:

It's a=b/a meaning b=1

Step-by-step explanation:

a cancels itself out, leaving b, that = 1

3 divided by sqrt8 + sqrt5=

3/(sqrt8+sqrt5)=

3(sqrt8-sqrt5)/(sqrt8+sqrt5)(sqrt8-sqrt5)=

(6sqrt2-3sqrt5)/3=

The function represented by the graph given is equivalent to -

g(x) = (x - 4)².

The function plotted represents a quadratic equation. A quadratic equation has a degree of 2. The given function is shifted to the left by 4 units. This means that the following transformation will take place on the x - coordinate of each and every point lying on the graph -

f(x, y) → f(x - 4, y)

So, we can write the function as -

g(x) = (x - 4)²

So, the function represented by the graph given is equivalent to -

g(x) = (x - 4)²

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Answer:

2x-9

Step-by-step explanation:

substitute g into f

2(x-5)+1

2x-10+1

2x-9

Answer:

The calculated value |t| = |-3.082| =3.082 > 2.0322 at 0.05 level of significance

The null hypothesis is rejected

An alternative hypothesis is accepted

There is evidence that the machine should be stopped and production wait for repairs

Step-by-step explanation:

Step(i):-

Given that the mean of the Population(μ) = 8 ounces

Given that the sample size 'n' = 35

The mean of the sample(x⁻) = 7.91

The variance of the sample  S² = 0.03 ounces

                                           S = √0.03 =  0.1732

Step(ii):-

Null Hypothesis: H₀: There is no evidence that the machine should be stopped and production wait for repairs

Alternative Hypothesis: H₁: There is evidence that the machine should be stopped and production wait for repairs

\(t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }\)

\(t = \frac{7.91 -8}{\frac{0.1732}{\sqrt{35} } }\)

t = - 3.082

|t| = |-3.082| =3.082

Degrees of freedom

ν = n-1 = 35-1=34

t₀.₀₅ =  2.0322

The calculated value |t| = |-3.082| =3.082 > 2.0322 at 0.05 level of significance

The null hypothesis is rejected

An alternative hypothesis is accepted

conclusion:-

There is evidence that the machine should be stopped and production wait for repairs

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\(y = \frac{1}{2} \times \frac{8 \sqrt{3} }{3} \\ \)

\(y = \frac{4 \sqrt{3} }{3} \\ \)

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\(x = \frac{ \sqrt{3} }{2} \times \frac{8 \sqrt{3} }{3} \\ \)

\(x = \frac{8 \times { \sqrt{3} }^{2} }{2 \times 3} \\ \)

\(x = \frac{8 \times 3}{2 \times 3} \\ \)

\(x = \frac{8}{2} \\ \)

\(x = 4\)

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The teacher's question, the student can provide a List of words including "sixty," "zesty," "skit," "site," "size," "exit," "yeti," "kits," "kite," and "ties."

Let unscramble the jumbled word "gzeysktqix" and find the possible words that can be formed.

Upon unscrambling, we can find several possible words:

1. Sixty

2. Zesty

3. Skit

4. Site

5. Size

6. Exit

7. Yeti

8. Kits

9. Kite

10. Ties

These are some of the words that can be formed from the jumbled letters "gzeysktqix." There may be additional words that can be created, depending on the specific rules or restrictions given by the teacher.

Unscrambling words can be a fun and challenging exercise that helps improve vocabulary, word recognition, and problem-solving skills. It allows students to enhance their language abilities and discover new words they might not have known before.

Remember, the key is to rearrange the given letters systematically and try different combinations until meaningful words are formed.

So, in response to the teacher's question, the student can provide a list of words including "sixty," "zesty," "skit," "site," "size," "exit," "yeti," "kits," "kite," and "ties."

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Step-by-step explanation:

The prime numbers 5 and 3 are both factors that are common to 30 and 75. The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15.

Answer:

the Greatest common factor of 30 and 75 is 15

Step-by-step explanation:

The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15.

Let's denote the other rational number as x. We know that the sum of the two rational numbers is -8. Therefore, we can write the equation:

-17/9 + x = -8

To find the value of x, we need to isolate it on one side of the equation. Let's solve for x:

x = -8 + 17/9

To add the fractions, we need to find a common denominator. The common denominator for 9 and 1 is 9. So, let's rewrite the equation with a common denominator:

x = (-8 * 9/9) + 17/9

x = (-72/9) + 17/9

Now, we can combine the numerators:

x = (-72 + 17)/9

x = -55/9

Therefore, the other rational number is -55/9.

Answer:

Maybe D-DE

Step-by-step explanation:

Because D has been decrease to E

Given:

A straight line goes through (-2,1), (0,0), and (2,-1).

To find:

The slope of the given line.

Solution:

Slope formula

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

Consider any two points from the given points.

The line goes through (-2,1) and (0,0). So, the slope of the line is

\(m=\dfrac{0-1}{0-(-2)}\)

\(m=\dfrac{-1}{2}\)

Therefore, the slope of the line is \(m=-\dfrac{1}{2}\).

Answer:

its 2/3

Step-by-step explanation:

Answer:

yes ur friend is correct

Step-by-step explanation:

because the value of x .

The diagram only shows that angles M and B are supplementary ( add up to 180 degrees) and that angel 4x is adjacent to angel M.However, there is no information about the measure of angle B or angel M, so we cannot determine the value of x

Descriptive statistics are used to summarize and describe data, making them useful for providing a clear understanding of a dataset's important features.

When a researcher wants to report the average cost of college tuition from the 1950s until present time, descriptive statistics are the appropriate method to use. Descriptive statistics are used to summarize and describe data, making them useful for providing a clear understanding of a dataset's important features. By using descriptive statistics, the researcher can calculate measures of central tendency, such as the mean, median, and mode, to determine the typical or average cost of college tuition over time. Additionally, measures of variability, such as the range and standard deviation, can be calculated to understand the spread of the data. Descriptive statistics are commonly used in many fields, including business, economics, psychology, and education, and can provide valuable insights into trends, patterns, and distributions within a dataset.

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Answer:

12

Step-by-step explanation:

You simply add the coefficients together.
3 + 4 + 5 = 12

Answer:

42

Step-by-step explanation:

9 - 4 = 5

8 - 5 = 3

9 + 2 + 3 + 7 + 8 + 3 + 4 + 6 = 42

Answer:

Its 42 ;l

Step-by-step explanation:

Step-by-step explanation:

Ok, so we know the bank loaned part of the $17,500 at a 4% interest rate. Lets call this loan amount x. Then the rest of the 17,500 was loaned at a 9% interest rate. Whatever this amount was, we can define it as 17,500 - x. We also know that the total interest earned was $1,100. With this information, we can form the following equation:

.04(x) + .09(17500 - x) = 1100

Multiply the .09 times the inside of the parentheses:

.04x + 1575 - .09x = 1100

Simplify:

-.05x + 1575 = 1100

-.05x = -475

x = 9500

Since x is originally the amount loaned at the 4% interest rate, we know that $9,500 was loaned at a 4% interest rate.

To figure out the other amount loaned at 9%, simply subtract 9,500 from 17,500 -- this gets us 8,000. So $8,000 was loaned at a 9% interest rate.

I hope this helps!

Answer:

a15 = 35

Step-by-step explanation:

Given:

a3 = 11

a6 = 17

Find:

a15 = ?

Computation:

a3 = 11 ⇒ a+ 2d = 11..........Eq1

a6 = 17 ⇒ a + 5d = 17...............Eq2

From Eq2 - Eq1

⇒ 3d = 6

⇒ d = 2

And a = 7

So,

⇒ a15 = a + 14d

⇒ a15 = 7 + 14 (2)

⇒ a15 = 7 + 28

⇒ a15 = 35

Answer:

$54.00

Step-by-step explanation:

30% can be written at 0.30

0.30 x $180 = $54.00

Answer:

There is four boxes I answered this in order

1st box: 3

2nd Box:  7

3rd box: 15

4th box : 19

5th box ; 16

Step-by-step explanation:

This is simple

Answer:

Given - angles measures X°

To find - measure of X

Solution -

X + X + X + X + X + X = 360 °

6x = 360°

x = 360/6

x = 60°

Answer:

\((-6)^{7}\)

Step-by-step explanation:

using the rule of exponents

• \(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

then

\((-6)^{5}\) × (- 6)²

= \((-6)^{(5+2)}\)

= \((-6)^{7}\)

Answer: 3 : 10

Step-by-step explanation:

Add all of the total writing utensils together.

16+12+8+4=40

Since he has 12 markers:

12 : 40

6 : 20

3 : 10