he function f(x) = (x − 4)(x − 2) is shown. On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0). What is the range of the function? all real numbers less than or equal to 3 all real numbers less than or equal to −1 all real numbers greater than or equal to 3 all real numbers greater than or equal to −1

Answer:

A = f - D

Step-by-step explanation:

f = D + A ( isolate A by subtracting D from both sides )

f - D = A

Answer:

A=F-D

Step-by-step explanation:

fht7ts3yfx yi. 4hu c h 4tyfdrhuezjuf drucdtufdgyt

The standard deviation for this binomial distribution is approximately 2.224.

To find the values for the given binomial distribution, we can use the binomial probability formula and the formulas for expected value and standard deviation of a binomial distribution.

The binomial probability formula is:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting k successes in n trials

C(n, k) is the number of combinations of n items taken k at a time

p is the probability of success in a single trial

n is the number of trials

a. The probability of 5 successes if the probability of a success is 0.10:

n = 20, p = 0.10, k = 5

P(X = 5) = C(20, 5) * 0.10^5 * (1 - 0.10)^(20 - 5)

Using a calculator or software to calculate combinations:

C(20, 5) = 15,504

Calculating the probability:

P(X = 5) = 15,504 * 0.10^5 * 0.90^15 ≈ 0.026

Therefore, the probability of getting exactly 5 successes is approximately 0.026.

b. The probability of at least 7 successes if the probability of a success is 0.40:

n = 20, p = 0.40, k ≥ 7

To calculate the probability of at least 7 successes, we need to sum the probabilities of getting 7, 8, 9, ..., 20 successes:

P(X ≥ 7) = P(X = 7) + P(X = 8) + ... + P(X = 20)

Using the binomial probability formula for each term and summing them up, we get:

P(X ≥ 7) = Σ[C(20, k) * 0.40^k * 0.60^(20 - k)] from k = 7 to 20

Calculating this probability using a calculator or software, we find:

P(X ≥ 7) ≈ 0.9999

Therefore, the probability of having at least 7 successes is approximately 0.9999.

c. The expected value (mean) for n = 20, p = 0.45:

n = 20, p = 0.45

The expected value of a binomial distribution is given by the formula:

E(X) = n * p

Substituting the values:

E(X) = 20 * 0.45 = 9

Therefore, the expected value for this binomial distribution is 9.

d. The standard deviation for n = 20, p = 0.45:

n = 20, p = 0.45

The standard deviation of a binomial distribution is given by the formula:

σ = sqrt(n * p * (1 - p))

Substituting the values:

σ = sqrt(20 * 0.45 * (1 - 0.45))

Calculating the standard deviation:

σ ≈ 2.224

Therefore, the standard deviation for this binomial distribution is approximately 2.224.

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The unit price of the insulated socks is $6.89

The unit price of an item is the cost per unit of the item. We divide the price of certain number of units of an item by the number of units to find the unit price of that item.

We want to find the unit price for the insulated socks, or the price per pair of insulated socks. To find the unit price, we must divide the cost by the pairs of socks

We know that it costs $41.34 for 6 pairs of socks.

That is $41.34/6

=$6.89

The unit price is $6.89 per pair of insulated socks.

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Answer: 438000000 days.

Step-by-step explanation: I'm not joking, it's actually 438000000 days.

Answer:

17 students

Step-by-step explanation:

140-15=125

125/7.25=17.2....

rounded to 17

Answer:

1st Question: 15   2nd Question: 52

Step-by-step explanation:

Each shape is a right triangle, that means it's 90 degrees. If you subtract the number shown by 90, you will have your missing value.

55°

To solve this, follow these steps:

i. Make a sketch of the problem.

The sketch has been attached to this response.

ii. Label the sketch properly

As shown in the sketch, θ is the angle between the x-axis and the terminal side resulting from connecting the origin to (5,7).

iii. Solve using the tangent trigonometric ratio

With the proper sketch and labelling, a right triangle is formed with the adjacent and opposite sides to the angle being  5 units and 7 units respectively.

Using the tangent formula,

tan θ = opposite / adjacent

tan θ = 7 / 5

θ = tan⁻¹ (7/5)

θ = tan⁻¹ (1.4)

θ = 54.46

θ = 55° to the nearest integer.

Therefore, the angle  made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest integer is 55°

Answer:

1. B

2. Seven Hundred thousand nine hundred and four

Step-by-step explanation:

Answer: 17

Step-by-step explanation:

\(f(5)=3(5)+2=\boxed{17}\)

Answer:

(a) The height of the cubiod is 5cm.

(b) The volume of metal not used in making these spheres is 172cm^3.

Step-by-step explanation:

(a) 12*10= 120

     600/120= 5cm

(b) volume of 1120 spheres= (4/3*π*0.45^3)(1120)

                                              = 428cm^3 (to 3 s.f.)

    600-428= 172cm^3

Either A or B. Both are correct

Answer:

0+5=5

Step-by-step explanation: If u add nothing then it stays like that

Answer:

5

Explanation:

I'm a goat so I know everything

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

In a taste test comparing a generic soda to a brand name soda, the count of correct guesses among 20 tasters follows a binomial distribution with parameters n = 20 (number of trials) and p = 0.25 (probability of guessing correctly). The taste tests are conducted independently, with tasters in separate locations to avoid interaction between them during the test.

Binomial distribution: The binomial distribution is a discrete probability distribution of the number of successes in a fixed number of independent trials. P(X=k)= nCk * pk * (1-p)n-k, Where P(X=k) is the probability of getting k successes in n trials, nCk is the number of ways to get k successes in n trials, p is the probability of success, and 1 - p is the probability of failure.

So, the formula for the mean and variance of the binomial distribution is as follows: μ = npσ2 = np (1 - p).

Now, we have to find n and p. Probability of success, p is 0.25 and the number of trials, n is 20.

Thus,p = 0.25, n = 20.

So, n and p are 20 and 0.25 respectively.

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Answer:

0.5/3 or 16.67

Step-by-step explanation:

Slope is y 2 minus y 1 / x 2 minus x 1.

1-0.5/6-3

0.5/3

The radius of convergence is 4.

To find the radius of convergence, R, of the collection, we can use the ratio test:

\(lim_n→∞ |(a_(n+1)/\)\(a_n)|\)

\(lim_n→∞ |(a_{(n+1})/\)

\(= lim_n→∞ |(x+8) / 4| * |ln(n+1) / ln(n)|\)

For the series to converge, this limit need to be less than 1. therefore, we've:

\(|(x+8) / 4| * lim_n→∞ |ln(n+1) / ln(n)| < 1\)

For the reason that\(lim_n→∞ |ln(n+1) / ln(n)| = 1\), we will simplify this to:

|(x+8) / 4| < 1

Taking the absolute cost under consideration, we have cases:

Case 1: (x+8)/4 < 1

In this case, we have x < -4.

Case 2: (x+8)/4 > -1

In this case, we have x > -12.

Consequently, the radius of convergence is the distance from the center of the collection (x = -8) to the closest endpoint of the c language (-12 on the left and -4 at the right):

R = min{8, 4} = 4

So, 4 is the radius of convergence.

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Answer: Perimeter of given square:40,Area of given square:100

Perimeter of Dilated square:200

Area of Dilated square: 2500

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

7x2-x=7

7x2=14.

14-x=7

When you finished the last step, you will subtract 14 to both sides.

14-x=7

14-14-x=7-14

this will cancel out the 14 on the left.

And will leave you with:

-x=7-14

7-14 is -7.

and this will get you to

-x=-7

To finish this off, you have to turn the negative x/variable, into a positive x/variable.

So, you will divide both sides of the equation by the same term.

-x = -7

into

\(\frac{-x}{1} =\frac{-7}{1}\)

and it will be -7.

I hope this helps      :)

Answer:

6

Step-by-step explanation:

-6(2+a) = -48

-6 × 2 + -6 × a = -48

-12 - 6a = -48

-6a = -48 + 12

-6a = -36

a = -36/-6

a = 6

hope you understood!

Answer:

a. 5 seconds

b. 1 second

Step-by-step explanation:

Plug the values into the equation and solve for t.

\(f(t)=-16t^2+400\\f(t)=-16t^2+16\)

Answer:

38 degrees

Step-by-step explanation:

this is an isosceles triangle, meaning that the base angles are congruent.

the total triangle is equal to 180

so the equation would be: x=180 - (71+71)

evaluate:

x=180-142

x=38 degrees

Hope this helps :)

Answer:

7^8 =5764801 * 7^3 =343 * 7^4 =2401 ÷ 7^9 = 40353607 * 7^5 =16807

5764801 *343 *2401 ÷ 40353607 *16807

=4747561509943 ÷ 678223072849 = 7

When is impossible that two events a and b occur simultaneously, the events are said to be mutually exclusive

Two events A and B, are mutually exclusive when it is impossible that they occur at same time. They are also called disjoint events. The probability of both events occurring at same time will be zero. It can be expressed by:

P (A and B) = 0

For example:

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

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Using the order of operations, the expression can be simplified as  

9 + 1.34 + 62.88 = 73.22

The order of operations instructs us on how to solve steps in multi-step expressions. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. Fourth, all addition and subtraction problems are solved from left to right.

Remember PEMDAS when simplifying multi-step expressions, i.e.:

P (Parentheses)

E (Exponents, Powers and Square Roots)

MD (Multiplication and Division, left-to-right)

AS (Addition and Subtraction, left-to-right)

The expression given in the problem is:  9 + 1.34 + 1 2 (3.50 +1.74)

Apply the above operation order:

Step 1: solve the addition inside the parenthesis

9 + 1.34 + 1 2 (3.50 +1.74)  =  9 + 1.34 + 1 2 (5.24)

Step 2: Multiply the result by 12

9 + 1.34 + 1 2 (5.24) = 9 + 1.34 + 62.88

Step 3: Apply addition from left to right

9 + 1.34 + 62.88 = 73.22

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Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

number first is the answer

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the functions.

According to the power of the functions, positive power is more than the negative one hence, for any value of x, the value of function y is always positive.

Hence the answer is option D.)

===>

x==> - infinite, y => infinite and x=> infinte, y=> infinite

Answer:

17√3

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is √3 times larger than the legs.

17*√3 = 17√3

Answer:

+5 esta a la derecha de +3 y -3 esta a la izquierda de +3

Answer:

$22.05 (c)

Step-by-step explanation:

$1.47 * 15 gallons = $22.05

Answer:

C) 22.05

Step-by-step explanation:

The answer is 22.05 because if you multiply 1.47 by 15, it equals 22.05.

Hope this helped you, have a nice rest of the day!

Answer:

-10x +18=-4y

Step-by-step explanation:

the 18 will come to the right side of the equal sign to become positive

the -4y will also move to the left side to become negative