34°
56°
124°

146°
Some help would be nice

Answer:20 dollars per hour

Step-by-step explanation:60/3 = 20

20 dollars per hour

7 x 20 = 140

The probability that the cycle time exceeds 65 minutes if it is known that the cycle time exceeds 60 minutes is 0.25 .

What is probability?
The possibility or chance of an event happening is commonly believed to be the probability of it happening. In the most basic scenarios, the probability that a specific event 'A' will occur as a result of an experiment is calculated by dividing the number of ways that 'A' can happen by the total number of possible outcomes.
P(A) = Number of events concerning 'A' / Total events in consideration.

A highway construction site's cycle time for trucks transporting concrete is evenly spread over the range of 50 to 70 minutes, thus a = 50 and
b = 70
f(x) = 1/[b - a] = 1/[70 - 50] = 1/20 = 0.05, thus a uniform distribution.
Let P(cycle time is less than 65 minutes if it is known that the cycle time exceeds 55 minutes) be:
P(60 < X < 65) = ₆₀∫⁶⁵ f(x) dx =  ₆₀∫⁶⁵ (0.05) dx = 0.05*[65 - 60] = 0.05*5
= 0.25
Thus, the probability that the cycle time exceeds 65 minutes if it is known that the cycle time exceeds 60 minutes is 0.25 .

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A midwife delivers 10 babies, with 50% chance of delivering a boy and 50% of delivering a girl. The probability that 6 out of 10 babies will be boys is 20.5%

The problem can be solved using binomial distribution, that is the probability of 2 possible outcomes in a number of trials.

The formula is given by:

P(x) = ⁿCx . P^x . (1 - P)^(n-x)

x = total number of event A

n = number of trials

P = probability of A in a single trial

Parameters given in the problem:

n = 10

x = 6

P = 50% = 0.5

Plug these parameters into the formula:

P(6 boys) = ¹⁰C₆ . (0.5)⁶ .  (0.5)⁴

                = 0.205 = 20.5%

Hence, the probability that 6 out of 10 babies will be boys is 20.5%

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Answer:

here is the answer have a good day

Answer:

1. 40/5=8

8 x 3p=24p

8(3p+5)=24p+40

2. 48/8=6

    64/8=8

8(6q-8)=48q-64

Answer:

[tex]-4i\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

[tex] - 4 \sqrt{3i} [/tex]

The Number of ways that four people can be seated on the bench so that john is not next to paul is 12

In mathematics, An arrangement of things or items in a specific sequence is known as a permutation. One should think about both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important.

The arrangement of n items in r ways is given by

Here we have

4 people (John, Paul, George, and Ringo) are seated in a row on a bench

Here total No of ways that 4 can be seated = 4 × 3 × 2 × 1 = 24

The number of ways of seating the four people so that john is next to paul is 12

Then the number of ways the four people on the bench so that john is not next to paul can find as given below

= Total No of ways, 4 can be seated - No of ways that john next to paul  

= 24 - 12 = 12        

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Hope this helps! Bye, have a nice day!

With the help of factorisation we can conclude our answer.

acc to our question-

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Answer: What??

Step-by-step explanation:

Answer:

(2x + 1) and (x - 5)

Step-by-step explanation:

(2x + 1)(x - 5) = 2x^2 - 9x - 5

Answer: the statement is false

Step-by-step explanation:

The re-order point (ROP) for the new batch of the bars of soaps be placed when there is 4800 bars left in the inventory.

ROP = (Daily usage x Lead period) + Safeguard stock

For the given question;

Lead time = 6 days

Safety stock = 2 days x 600 bars = 1200 bars

ROP = (600 x 6) + 1200 = 4800 bars.

Thus, the re-order point (ROP) for the new batch of the bars of soaps be placed when there is 4800 bars left in the inventory.

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Answer:

Paco, Tim, Jenny, Maria

Step-by-step explanation:

Answer: -1-1i and -1+1i

Step-by-step explanation:

If repetition is allowed then the required passwords generated are 17576.

If repetition is not allowed then the required passwords generated are 15600.

Given that;

We need to get 3 letter passwords using a through z by two case;

(a) If repetition is allowed

(b) If repetition is not allowed

Case (a): If repetition is allowed.

       The total number of letters from a through z are 26

   ⇒ The total number of 3 letter passwords made are;

        = 26³

        = 26 * 26 * 26

        = 17576

If repetition is allowed then the required passwords generated are 17576.

Case (b): If repetition is not allowed.

      ⇒ The total number of 3 letter passwords made are;

         = 26 * 25 * 24

         = 15600

If repetition is not allowed then the required passwords generated are 15600.

Therefore,

If repetition is allowed then the required passwords generated are 17576.

If repetition is not allowed then the required passwords generated are 15600.

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To find the value of n we first have to find the value of angle m. because we know the sum of angle m and angle n would be equal to 180 degrees as they both lie on a straight line. to find angle m we have to use the angle sum property of a triangle which says the sum of all the internal angles of a triangle is equal to 180 degrees.

so using the angle sum property,

65+45+m = 180

m= 180-65-45

m=70

now we know m is 70 degrees

for n,

m+n = 180                  -(i)

putting m=70  in equation (i)

70 + n = 180

n = 180-70 = 110 degree

The value of y when x = 17 is 66.5

From the question, we understand that:

The variation is a direct variation

The equation of a direct proportion can be represented as

y = kx

Where:

From the question, we have

When x = 11, we have = 43

So, we have

11k = 43

Make k the subject

k = 43/11

Substitute k = 43/11 in y = kx

y = 43/11x

When x = 17, we have

y = 43/11 x 17

This gives

y = 66.5

Hence, the value of y is 66.5

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The solution after divide by 8/5 instead of 4/5 will be 2.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The model shows that 3 1/5 divided by 4/5 = 4.

Now,

Substitute 8/5 instead of 4/5, we get;

⇒ 3 1/5 ÷ 8/5

⇒ 16/5 ÷ 8/5

⇒ 16/5 × 5/8

⇒ 2

Thus, The solution after divide by 8/5 instead of 4/5 will be 2.

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Answer:

Step-by-step explanation:

It was 33 degrees warm in the afternoon

From the question, we have the following parameters that can be used in our computation:

In the morning = 5 degrees above zero

Afternoon = Rise of 27 degrees

The degree of warmth in the afternoon is then calculated as

Degree of warmth = Temperature In the morning + Rise of the temperature

Substitute the known values in the above equation, so, we have the following representation

Degree of warmth = 5 + 27

Evaluate the sum

Degree of warmth = 33

Hence, the temperature is 33 degrees

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Answer:27.5 inches

Step-by-step explanation:

What does 3x-19 equal? You can find x without it being an equation

The solution is, the value of x is 6.33.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

(3x-19) = 0,

here, we have to make the given expression simple, as we have to find the value of x.

so, we get, by isolating the variable & numbers,

adding 19 on both sides we get,

3x = 19

dividing both sides by 3, we get,

or, x = 19/3

or, x = 6.33

Hence, The solution is, the value of x is 6.33.

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There is a 0.990025 probability that this area won't experience a major earthquake in the next two years.

In the field of mathematics called probability theory, random occurrences are studied. The outcome of a random event can take any number of distinct shapes, but it cannot be anticipated before it occurs. The outcome is believed to have been decided by chance.

Given,

In a region where large earthquakes of magnitude 7 or higher have occurred about once every 200 years,

First, the likelihood of an earthquake with a magnitude of 7 or higher is 1/200 = 0.005.

The likelihood of there not being an earthquake is then requested, and it is 1-0.005 = 0.995.

The likelihood that there won't be an earthquake in two years is then

0.995 x 0.995, or.0990025.

The probability that we will not have a big earthquake in this region in the next two years is 0.990025.

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The length of TS, using similar triangles, is given as follows:

TS = x = 25.

Similar triangles are two triangles that share these two features:

In the context of this problem, the similar triangles are given as follows:

STU and SQR.

The proportional side lengths from these two similar triangles are given as follows:

Hence the proportional relationship that relates these lengths on the similar triangles is given as follows:

x/45 = x - 5/36

Applying cross multiplication, the length of TS, equals to x, is obtained as follows:

45(x - 5) = 36x

45x - 225 = 36x

9x = 225

x = 225/9

x = 25.

The diagram is given by the image shown at the end of the answer.

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Answer:

Step-by-step explanation: I am guessing that it is 180

The range of values for the rectangle  length is  20 ≤ y ≤ 30 .

What is a rectangle made of?

The garden is to be rectangular shape.

Let x = width

Let y = length

Set the equations for perimeter and area.

2(x + y) = 100  -----> perimeter

x + y = 50   ------> perimeter

xy = 600   ---->  area

We have two equations to work with.

x + y = 50                eq1

xy = 600                   eq2

Substitute eq1 into eq2.  We can get eq2 in terms of x.

x(50 - x) = 600

-x2 + 50x = 600

-x2 + 50x - 600 = 0

Divide both sides of the equation by -1, so that we have a positive x2.  The goal is to try to use FOIL to factor.

x2 - 50x + 600 = 0

(x - 30)(x - 20) = 0

x = 30         and           x = 20

Next, we plug in these values of x into eq1 to solve for y.

y = 50 - x                     and                y = 50 - x

y = 50 - 30                                        y = 50 - 20

y = 20                                               y = 30

Based on this, the range of values for the length is

20 ≤ y ≤ 30

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The quadratic equation x² + 16 · x + 80 has two roots: x₁ = - 1 / 10 + i (4 / 5), x₂ = - 1 / 10 - i (4 / 5).

In this question we find a quadratic equation of the form a · x² + b · x + c = 0, whose roots can be found by using the quadratic formula:

x = - b / (2 · a) ± [1 / (2 · a)] · √(b² - 4 · a · c)

Where b² - 4 · a · c is the discriminant of the quadratic formula, which offers three cases of solutions:

If we know that a = 1, b = 16 and c = 80, then the roots of the quadratic equation are, respectively:

x = - 16 / 160 ± (1 / 160) · √(16² - 4 · 1 · 80)

x = - 1 / 10 ± (1 / 10) · √(- 64)

x = - 1 / 10 ± i (4 / 5)

The roots are - 1 / 10 + i (4 / 5) and - 1 / 10 - i (4 / 5).

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Answer:

D

Step-by-step explanation:

there are no restrictions on the domain and

- ∞ < x < ∞

That is the domain is all real numbers

The function f(x) = 2x + 1 has its value of x to be 3 when f(x) = 7

From the possible question, the definition of the function is given as

f(x) = 2x + 1

Also, from the question, we have:

f(x) = 7

Substitute 7 for x in the equation f(x) = 2x + 1

So, we have the following representation

2x + 1 = 7

Subtract 1 from both sides of the equation

This gives

2x = 6

Divide both sides by 2

x = 3

So, we can conclude that the value of x is 3

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Possible question

Given the function below, find the value of x if f(x)=7

f(x) = 2x + 1