Consider the function.
3
f(x) = -X + 12
4
What is the y-intercept of f'(x)?
-16
ООО
- 12
3
4

Answer:

a. 0.96 = 96% probability that the number is odd.

b. 0.48 = 48% probability that the sum of the digits is odd.

c. 0.24 = 24% probability that the number is greater than 70.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We are given the prime numbers less than 100, they are:

2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

There are 25 prime numbers less than 100.

a. The number is odd

Of the 25, 24 are odd, only the number 2 is even. So

24/25 = 0.96 = 96%

0.96 = 96% probability that the number is odd.

b. The sum of the digits is odd

The sum of the digits is odd for:

3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89. So for 12 of them

12/25 = 0.48 = 48%

0.48 = 48% probability that the sum of the digits is odd.

c. The number is greater than 70

71, 73, 79, 83, 89, 97. 6 of them

6/25 = 0.24 = 24%

0.24 = 24% probability that the number is greater than 70.

A) The probability that one of the numbers is odd is; 96%

B) The probability that the sum of the digits is odd is; 48%

C) The probability that the number is greater than 70 is; 25%

We are given the prime numbers;

2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

This is a total of 25 prime numbers.

Thus; N = 25

A) The number of odd numbers are 24.

Thus,probability of selecting an odd number is;

P(odd number) = 24/25

P(odd number) = 0.96 or 96%

B) The numbers that their sum is odd are:

3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89

Kindly note that the single numbers are added to zero to make them odd too.

Thus there are 12 of them that their sum are odd.

P(sum is odd) = 12/25

P(sum is odd) = 0.48 or 48%

C) The numbers that are greater than 70 from the list are 71, 73, 79, 83, 89, 97. This is a total of 6 numbers.

Thus;

P(number is greater than 70) = 6/25

P(number is greater than 70) = 0.25 or 25%

Read more about probability of selection of numbers at; https://brainly.com/question/251701

Step-by-step explanation:

1. if to evaluate the given experssion, then

7⁶(7²-7+1)=7⁶*43.

2. if to divide this evaluated expression by 43, then

7⁶*43/43=7⁶.

Answer:

57.1% (to 3 s.f.)

Step-by-step explanation:

12/21 *100

Answer:

[tex]9a^2-4b^2[/tex] is the correct answer.

Step-by-step explanation:

Difference of squares can be written as a^2 - b^2. This is equal to (a - b)(a + b)

In your answers, we see, 9a^2 - 4b^2. They are subtracting which is correct. 9 and 4 can also be rooted. 9 to 3 and 4 to 2 so

[tex]9a^2-4b^2[/tex] can be written as [tex](3a-2b)(3a+2b)[/tex]

The expression that is the difference between the two squares is 9a² - 4b⁶.

The correct option is B.

Mathematical operations like subtraction exist. It is employed to delete words or objects from the phrase.

To find the difference between the two squares,

let a² and b² be the two terms.

So, a² - b² results in (a - b) (a + b).

From the given choices,

9a² - 4b⁶ = (3a)² - (2b³)²

As per the formula the expression can be rewritten as,

(3a - 2b³) (3a + 2b³)

Therefore, the required expression is 9a² - 4b⁶.

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Answer:

15

Step-by-step explanation:

A÷B= H (Area divided by base equals height)

315÷21= 15

Answer:

height = 15

Step-by-step explanation:

Area of a parallelogram: Base * height

Plug in the values we know.

21 * height = 315

Divide both sides by 21

height = 15

Answer:

1/512 or 1/8^3

Step-by-step explanation:

Answer:

I think it 25/36.

Step-by-step explanation:

The total amount of flour is 4/9 + 1/4. The common denominator of 9 and 4 is 36.

So 4/9 + 1/4 = 16/36 + 9/36 = 25/36

Jenny measured a total of 10/21 cups of flour.

Given that,
Jenny measured 1/7 cup of flour and 1/3 cup of flour. How many total cups of flour did Jenny measure is to be determined.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Fraction is defined as the number of compositions that constitute the Whole. The fraction can be represented in the form of a / b.

Here,
Let, the total measure of the cups of flour be x,

x = 1/7 + 1/3
Taking lcm of the denominator 7, 3 which is 21,
now multiplying the numerators by 3 and 7,
x = (3*1 + 1*7)/21
x = 10 / 21

Thus, Jenny measured a total of 10/21 cups of flour.

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Answer:

6

Step-by-step explanation:

9514 1404 393

Answer:

  20x +80y ≤ 48000

Step-by-step explanation:

If x is the number of 20-ounce cans, then the number of ounces in the cans is 20x.

If y is the number of 80-ounce bottles, then the number of ounces in the bottles is 80y.

"At most 48,000 ounces" means the total of ounces of cans and ounces of bottles must be less than or equal to 48000.

  20x +80y ≤ 48000

Answer:

$34.50

Step-by-step explanation:

First, how many 3/4 lbs are in 7.5 lbs?

7.5 lbs = 15/2 lbs.

(15/2) / (3/4) = 10

There are 10 "3/4" lbs in 7.5 lbs.

So, if it costs $3.45 to purchase 3/4 lbs of chopped walnuts, it would cost $3.45 times 10 dollars to purchase 7.5 lbs of chopped walnuts, or $34.50.

Let me know if this helps!

Answer:

$45

Step-by-step explanation:

60/4=15 15x3(75%)=45

your sweater is $45 with the discount

Answer:

9:19

Step-by-step explanation:

Total number of students = 28

Number of boys = 19

Number of girls = Total number of students - Number of boys = 28-19 = 9

Therefore, ratio of girls to boys = Number of girls/Number of boys = 9/19 = 9:19

Answer: 9:19

Step-by-step explanation: The total number of students is 28.

Subtract the number of boys, 19

28 - 19 = 9 girls  

Use those numbers for the ratio.  

girls:boys

9:19

Answer:

(1;1)

Step-by-step explanation:

1. if y=2x-1, then it is possible to substitute 2x-1 into the 2d equation:

5x-4(2x-1)=1, ⇒ 5x-8x+4=1, ⇔ -3x=-3, ⇔ x= 1;

2. if x=1, then y=2x-1=2-1= 1.

3. the required pair is (1;1)

Answer:

a = -bc

Step-by-step explanation:

We are given the equation:

c = -a/b

Because multiplication and division are inverse operations, if we move b over to the other side, since it was dividing on the right side, it would be multiplied on the other side (I don't know how to explain that well)

so you can make it look like this:

b*c = -a

Or:

-a = b*c

Then, do isolate a, we will have to divide by -1 on both sides

a = -b*c

To check this, we can plug in numbers

-8 = -16/2

-16 = -8*2

16 = 8 * 2

Let me know if you have any questions

Answer:

17.5

Step-by-step explanation:

Those angles are supplementary, in other words, they add up to 180°

To solve you set the expressions up to 180:

(5x - 30) + 7x = 180

12x - 30 = 180

12x = 210

x = 17.5

Answer:

9900

Its taxes

dndjndnd

Answer:

$9,900

Step-by-step explanation:

18% is equal to .18

.18 times $55,000 = $9,900

Answer:

4 cups

Step-by-step explanation:

Answer:

5x - 4

Step-by-step explanation:

In this question, you have to simplify the expression.

Solve:

2(x + 4) + 3(x - 4)

Use the distributive property.

2x + 8 + 3(x - 4)

2x + 8 + 3x - 12

Combine like terms.

5x + 8 - 12

5x - 4

Since there is no more similar terms, we are left with our final answer.

Your answer would be 5x - 4

Answer:

A.........................

Answer:121

Step-by-step explanation:

Answer:

the 4 kilograms of bananas for 7.48 would be better because 4 kilos. of bananas for 2.06 x4 would be 8.24

Answer:

20.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

u=6i-j

v=7i-4j

u.v=|6i-j||7i-4j| cos α,where α is the angle between u & v.

(6i-j).(7i-4j)=√(6²+(-1)²)√(7²+(-4)²) cos α

(6)(7)+(-1)(-4)=√37√65 cos α

42+4=√37√65  cos α

[tex]\cos \alpha =\frac{46}{\sqrt{37} \sqrt{65} } \\\alpha =\cos^{-1}\frac{46}{\sqrt{37} \sqrt{65} } \approx 20.28^\circ \approx 20.3^\circ[/tex]

Answer:

2

Step-by-step explanation:

is this for a test because if so good luck

Answer:

its 20 Period

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-1 - 5)/(0 + 3)= -6/3 = -2

y - 5 = -2(x + 3)

y - 5 = -2x - 6

y = -2x - 1

Answer:

С) 80

вот правильный ответ

Answer:

t = 6√3 mm

Step-by-step explanation:

The angles of the triangle are 30°, 60°, and 90°. That's lucky for you, because the sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2

The side opposite the 90° angle is 12 mm, so the side opposite the 30° angle is 12/2 = 6 mm

t = side opposite the 60° angle = 6√3 mm.

The value of T is 6√3.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Hypotenuse = 12 mm

Using Trigonometry

sin 60 = P/H

√3/2= P/12

12√3/2= P

P= 6√3

Thus, the value of T is 6√3.

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Answer: I don't know what it means by "equation" but a coordnite plane

its -3,11 0,5 2,1 5,-5 7,-9

Step-by-step explanation:

Answer:

I- What? yes?

Step-by-step explanation: