What is the inverse function of f(x) = -2?
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Answer:

24%

Step-by-step explanation:

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The probability of drawing a card that could win the hand and actually winning the hand is 12%.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

There are 50 cards left in the deck after the 5 of spades and 10 of clubs are drawn since there are 4 suits with 13 cards each, and 2 of those cards have already been drawn.

Out of the remaining 50 cards, there are 16 cards that could win the hand: the 9 remaining cards higher than the 10 of clubs in any suit, and the 6 remaining cards in the spade suit (since the 5 of spades is already on the table).

Therefore, the probability of drawing a card that could win the hand is 16/50, which simplifies to 8/25. This is approximately 0.32 or 32%.

However, we need to subtract the probability of drawing the 5 of clubs, 10 of spades, or any of the 8 remaining cards that would not win the hand.

The probability of drawing one of these cards is 10/50, which simplifies to 1/5 or 20%.

The probability of drawing a card that could win the hand and actually winning the hand is:

(16/50) x (1/5)

= 0.32 - 0.2

= 0.12 or 12%.

Thus,

The probability of drawing a card that could win the hand and actually winning the hand is 12%.

Learn more about probability here:

https://brainly.com/question/14099682

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Given:

[tex]y=f(x)[/tex]

[tex]f(x)=\dfrac{1}{2}x-3[/tex]

To find:

The input when the output is – 3.

Solution:

We have,

[tex]f(x)=\dfrac{1}{2}x-3[/tex]

Substituting [tex]f(x)=y[/tex], we get

[tex]y=\dfrac{1}{2}x-3[/tex]               ...(i)

We need to find the input when the output is – 3. It means, we have to find the value of x when [tex]y=-3[/tex].

Putting [tex]y=-3[/tex] in (i), we get

[tex]-3=\dfrac{1}{2}x-3[/tex]

[tex]-3+3=\dfrac{1}{2}x[/tex]

[tex]0=\dfrac{1}{2}x[/tex]

Multiply both sides by 2.

[tex]0=x[/tex]

Therefore, the input is 0 when the output is -3.

Answer:

∠1 & ∠3 = 68°

∠2 & ∠4 = 112°

Step-by-step explanation:

180 degrees is the total sum of the angles in a triangle.

180 - 68 = 112

Answer:

7 bookcases

Step-by-step explanation:

Find how many bookcases the custodian can repaint by dividing 5.25 by 0.75:

5.25/0.75

= 7

So, the custodian will be able to repaint 7 bookcases

Answer:

cos(37°)

Step-by-step explanation:

sin(53°) = cos(90° - 53°)

sin(53°) = cos(37°)

Answer:

8 cm

Step-by-step explanation:

The area of the shaded portion is:

[tex]a = \pi \times (( {r1)}^{2} - {(r2}^{2})) [/tex]

A=39π cm^2

r1 is the radius of the large circle

r2=5 cm

So,

[tex]39\pi = \pi \times (( {r1)}^{2} - {5}^{2} ) \\ r1 = 8 \: cm[/tex]

Answer:

The answer is number 7

Step-by-step explanation:

56÷8=7

n= 7

Answer:

it dropped 9% from last year

Answer:

507 cubic m

Step-by-step explanation:

V = l · w · h

V = 13 × 13 × 3

V = 507

Answer:

The answer is 3/4

Step-by-step explanation:

When you divide two fractions, such as 1/2 ÷ 2/3, you have to flip the second fraction and then you simply multiply the numerators with each other and the denominator with each other.

Answer:

9 pizzas total were bought for a party. Maya ate 1/3 of a pizza. John ate 4/9 of the same pizza. How much pizza is left?

Answer: 74/9 or 8.2

Step-by-step explanation:

first add 4/9 and 1/3 since it's in parenthesis

4/9+1/3

they need to have the same denominator, use the LCM (which is 9)

multiply 1/3 by 3 to achieve the LCM

4/9+3/9

add together numerators

7/9

subtract 7/9 from 9

9/1-7/9

get 9 to achieve the LCM (which is 9 again)

multiply 9/1 by 9

81/9 minus 7/9= 74/9

Answer:

[tex]-\frac{\sqrt{21}}{2}[/tex]

Step-by-step explanation:

ASTC (I use a sentence to memorize: All Students Take Calculus):

Q1 - All functions are positive

Q2 - Sine is positive (Cosecant is positive as well) (all others negative)

Q3 - Tangent is positive (Cotangent is positive as well) (all others negative)

Q4 - Cosine is positive (Secant is positive as well) (all others negative)

Applying ASTC:

Secant is negative, so it can't be in quadrant 1, and quadrant 4.

Quadrant 2 - Sine and Quadrant 3 - Tangent are left.

Cosecant is positive so it can't be in quadrant 3.

Therefore, angle x is in Quadrant 2 or QII

Secant is hypotenuse / adjacent

5 = hypotenuse (hypotenuse is never a negative number)

-2 = adjacent

use pythagorean theorem to solve for opposite (bc tan = opp / adj)

[tex](-2)^2+o^2=5^2;4+o^2=25;o^2=21;o=\sqrt{21}[/tex]

tanx = [tex]\frac{\sqrt{21}}{-2}=-\frac{\sqrt{21}}{2}[/tex]

Answer:

are you realy a tutor?

Step-by-step explanation:

Answer:

The corresponding p - value will be  is < 0.00001 which is less than 0.05

Step-by-step explanation:

Suppose p= 0.12 and n= 540 then the standard deviation can be taken out as √p(1-p)/n= √0.12(1-0.12)/540= 0.014

For the probability that the survey will provide a sample proportion within 6.03 of the population proportion

we will find the z statistic

z= p^-p/√p(1-p)/n

But √p(1-p)/n= 0.014 and p^-p= 6.03

Putting the values

z= 6.03/0.014= 430.71

The corresponding p - value will be  is < 0.00001 which is less than 0.05

Answer:

B: Gabriel's

Step-by-step explanation:

Answer:

(22d-22) cm

Step-by-step explanation:

perimeter= 2×(4d-8+7d-3)

= 2× (11d-11)

(22d - 22) cm

Answer:

(22d-22)cm

Step-by-step explanation:

Perimeter = 2 x (width + Length)

= 2 x [(4d – 8) + (7d – 3)]

= 2 x (11d-11)

= (22d-22)cm

Answer:

zach ran 31680 feet over the weekend.

Step-by-step explanation:

1 mile = 5280, so 6 x 5280 = 31680

Answer:

57 i think

Step-by-step explanation:

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6​

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

Answer:

m<1 = 118

Step-by-step explanation:

The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that

(28) + (90) = m<1

Remember, a box around an angle signifies that its measure is (90) degrees.

Solve this problem by performing the operation,

118 = m<1

Answer:

(A)It is neither unlikely nor likely

Step-by-step explanation:

answer is b

hope this helps

Answer:

for A plug in those numbers on the right and on the left start with 1 and move up(for example 1,2,3,4,5...)

For b  the answer is 2.5x²−4.5x+1.

Step-by-step explanation:

Answer:

weak, negative association

Step-by-step explanation:

If variables have a strong association, the points will form a clear line/curve. Since the graph's points are scattered and fairly chaotic, we can say the association is weak.

Positive associations trend upwards and negative associations tend downwards. This graph seems to overall tend downwards, so we can say the association is negative.

Answer:

68% of the individuals in the population have an IQ between 85 and 115.  95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.

Step-by-step explanation: