If you apply for a job with Globo Corp, there is a 66% chance that you will get an interview. If you get an interview, there is a 41% chance that you will get the job. If you apply for a job with Globo Corp, what is the probability that you will get the job? Interview Express your answer as a decimal, rounded to the nearest hundredth.

Answer:

2 because if 2=1 and 2 +2  is the question, 2 would be your answer because you are adding 1 + 1

Step-by-step explanation:

have a great day and please mark brainliest!

Answer:

45.56

Step-by-step explanation:

25 percent of $36.45 = $9.11

How Much is the tip on $36.45?

Answer: A.

Step-by-step explanation:

Answer:

350 people can fit into 42 rooms

Step-by-step explanation:

So we can write it as a relation fraction equation:

\(\frac{50}{6}=\frac{x}{42}\)

Where:

x represents the people can fit in 42 rooms

\(x=\frac{50*42}{6}\)

\(x=350\)

Therefore, 350 people can fit into 42 rooms.

I hope it helps you!

The root of the function \(\(f(x) = 5\cos(x) - \sqrt{x^2 + 1} + 2^{x-1}\)\) lies within the interval \(\([-1, 0]\)\).

To find the interval where the root of the given function lies, we need to analyze the behavior of the function within certain intervals. Let's consider the interval  \(\([-1, 0]\)\).. For \(\(x = -1\)\), we have \(\(f(-1) = 5\cos(-1) - \sqrt{(-1)^2 + 1} + 2^{-2}\)\). Since \(\(\cos(-1)\)\) is positive and the other terms are also positive, the value of \(\(f(-1)\)\) is positive.

Now, for \(\(x = 0\)\), we have \(\(f(0) = 5\cos(0) - \sqrt{0^2 + 1} + 2^{-1}\)\). Since \(\(\cos(0)\)\) is positive and the other terms are positive, the value of \(\(f(0)\)\) is positive.

As the function is continuous, and it changes sign from positive to negative within the interval  \(\([-1, 0]\)\) (as \(\(f(-1)\)\) and \(\(f(0)\)\) have different signs), by the Intermediate Value Theorem, there exists at least one root of the function within this interval. Therefore, we can conclude that the root of \(\(f(x)\)\) lies within the interval  \(\([-1, 0]\)\).

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Answer:

u r girl

khdlhdohdkhdohdohdlgdogdkgdkgdkgskgdkgskgskydoysoydoydoydoydoydlydoydoydoydpydoydpyd

Answer:

( x + 4 ) ( x + 1 )

Step-by-step explanation:

x² + 5x + 4

= x² + 1x + 4x + 4

= x ( x + 1 ) + 4 ( x + 1 )

= ( x + 4 ) ( x + 1 )

Hence, factorised.

Answer:

t=22

Step-by-step explanation:

just add 8 on both sides

d) Tthe probability that there is a moving object given that both sensors detect motion is approximately 0.98.

(a) To find the probability that sensor L detects motion given that there is movement outside and sensor V does not detect motion, we can use Bayes' theorem.

Let's denote the events as follows:

A = Movement outside

B = Sensor V does not detect motion

C = Sensor L detects motion

We are given:

P(A) = 0.7 (probability of movement outside)

P(B|A) = 0.05 (probability of sensor V not detecting motion given movement outside)

P(C|A) = 0.8 (probability of sensor L detecting motion given movement outside)

We want to find P(C|A', B), where A' denotes the complement of event A.

Using Bayes' theorem:

P(C|A', B) = [P(A' | C, B) * P(C | B)] / P(A' | B)

We can calculate the values required:

P(A' | C, B) = 1 - P(A | C, B) = 1 - P(A ∩ C | B) / P(C | B) = 1 - [P(A ∩ C ∩ B) / P(C | B)]

             = 1 - [P(B | A ∩ C) * P(A ∩ C) / P(C | B)]

             = 1 - [P(B | C) * P(A) * P(C | A) / P(C | B)]

             = 1 - [P(B | C) * P(A) * P(C | A) / [P(B | C) * P(A) * P(C | A) + P(B | C') * P(A') * P(C | A')]]

P(B | C) = 0 (since sensor V does not detect motion when there is motion outside)

P(C | A') = 0 (since sensor L does not detect motion when there is no motion outside)

Substituting these values:

P(C | A', B) = 1 - [0 * P(A) * P(C | A) / (0 * P(A) * P(C | A) + P(B | C') * P(A') * P(C | A'))]

             = 1 - [0 / (0 + P(B | C') * P(A') * P(C | A'))]

             = 1 - 0

             = 1

Therefore, the probability that sensor L detects motion given that there is movement outside and sensor V does not detect motion is 1.

(b) To find the probability that the home security system alerts the police given that there is a moving object, we need to consider the different combinations of sensor detections.

Let's denote the events as follows:

D = The home security system alerts the police

M = There is a moving object

We need to calculate P(D | M). This can occur in two ways:

1. Both sensor V and sensor L detect motion.

2. Sensor L detects motion while sensor V does not.

Using the law of total probability:

P(D | M) = P(D, V detects motion, L detects motion | M) + P(D, V does not detect motion, L detects motion | M)

We know:

P(D, V detects motion, L detects motion | M) = P(V detects motion | M) * P(L detects motion | M) = 0.95 * 0.8 = 0.76

P(D, V does not detect motion, L detects motion | M) = P(V does not detect motion | M) * P(L detects motion | M) = (1 - 0.95) * 0.8 = 0.04

Substituting

these values:

P(D | M) = 0.76 + 0.04

        = 0.8

Therefore, the probability that the home security system alerts the police given that there is a moving object is 0.8.

(c) To find the probability of a false alarm, i.e., that there is no movement but the police are alerted anyway, we need to consider the different combinations of sensor detections.

Let's denote the events as follows:

D = The home security system alerts the police

NM = There is no movement

We need to calculate P(D | NM). This can occur in two ways:

1. Both sensor V and sensor L detect motion.

2. Sensor L detects motion while sensor V does not.

Using the law of total probability:

P(D | NM) = P(D, V detects motion, L detects motion | NM) + P(D, V does not detect motion, L detects motion | NM)

We know:

P(D, V detects motion, L detects motion | NM) = P(V detects motion | NM) * P(L detects motion | NM) = 0.1 * 0.05 = 0.005

P(D, V does not detect motion, L detects motion | NM) = P(V does not detect motion | NM) * P(L detects motion | NM) = (1 - 0.1) * 0.05 = 0.045

Substituting these values:

P(D | NM) = 0.005 + 0.045

         = 0.05

Therefore, the probability of a false alarm, i.e., that there is no movement but the police are alerted anyway, is 0.05.

(d) To find the probability that there is a moving object given that both sensors detect motion, we can use Bayes' theorem.

Let's denote the events as follows:

M = There is a moving object

V = Sensor V detects motion

L = Sensor L detects motion

We want to find P(M | V, L).

Using Bayes' theorem:

P(M | V, L) = [P(V, L | M) * P(M)] / [P(V, L)]

We can calculate the values required:

P(V, L | M) = P(V | M) * P(L | M) = 0.95 * 0.8 = 0.76

P(M) = 0.7 (given probability of movement)

P(V, L) = P(V, L | M) * P(M) + P(V, L | M') * P(M')

        = 0.76 * 0.7 + 0.04 * 0.3

        = 0.532 + 0.012

        = 0.544

Substituting these values:

P(M | V, L) = (0.76 * 0.7) / 0.544

           ≈ 0.98

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Answer:

Maybe 30°

Cause 12:4 is 3

3x10 30

The central angle of a regular dodecagon is 30 degrees. Option A is the correct option.

The central angle - The angle created at the polygon's center by two adjacent radii—the lines that connect the polygon's center to its vertices—is known as the central angle.

We know it is a regular dodecagon, which means all the sides will be of equal size.

As it is a dodecagon there will be a total of 12 equal central angles added to give an angle of 360 degrees.

Let's assume the central angle is x.

12x = 360

x = 360/12

x = 30

Hence, the central angle in a regular dodecagon is 30 degrees.

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Answer: The product of the two numbers is 2400.

Step-by-step explanation: You multiply the numbers on the ratio with the difference first you multiply 2 with 20 then you multiply 3 with 20.

Answer:

The percent decrease is approximately 40%.

Step-by-step explanation:

First we need to calculate how many fish we lost.

Do this by taking the new value and subtracting it from the old one.

\(850 - 500 = 350\)

Now we know that the number of fish that we lost is 350.

To find the percent we have lost just take the number of fish we have lost and divide it by the original amount of fish.

\(\frac{350}{850} = 0.4117647059\) .

When we round this we get 0.4 which is 40%, so the first answer is correct.

it's 40%

now have a nice dAY

Answer:  -2x + 5y = 8

Step-by-step explanation:

Since the lines must be parallel, the slopes must be the same, so keep the coefficients of x and y

Substitute the values of x and y from the given coordinate  (6,4) to find the new constant, b, the y-intercept.

-2x + 5y = b

-2(6) + 5(4) = b

-12 + 20 = b

8 = b

Rewrite the original equation substituting the new b for the original -15

-2x + 5y = 8

The function y = \(x^2(x^2 - 6x + 9)\)has zeros at x = 0 and x = 3, indicating that it has distinct real zeros and no complex zeros.

The function \(y = x^2(x^2 - 6x + 9)\) has zeros at x = 0 and x = 3, indicating it has distinct real zeros and no complex zeros.

In the second paragraph, we explain the answer in 120 words: To determine the zeros of the function, we set y = 0 and solve for x.

The expression \(x^2 - 6x + 9\) can be factored as\((x - 3)^2\), so the function can be rewritten as \(y = x^2(x - 3)^2\).

This shows that the function has a zero at x = 0 (from the \(x^2\) term) and another zero at x = 3 (from the (x - 3)^2 term). Since both zeros are real and distinct, we conclude that the function has distinct real zeros.

Furthermore, there are no complex zeros because the function does not involve any complex numbers or imaginary units.

Therefore, the function \(y = x^2(x^2 - 6x + 9)\) has distinct real zeros but no complex zeros.

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This is a simple ratio. x : y.  So x = 21 when y = 5.

21 : 5.

x : 25

So you are timesing each side by 5

So 21 x 5 = 105.

x = 105

when x is 21 and y is 5 means that y*4.2=x ( bc 21:5=4.2) so to find x u have to multiply y*4.2

Step-by-step explanation:

21/5 = 4.2

25*4.2 = 105

The range of the given function would be -

Range → {-2, 3, 5, 6}

An function in mathematics defines a relationship between one variable (the independent variable {x})  and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.

Given is the graph of the function as shown in the image.

Range represents the set of values along the {y} - axis. So, we can write the range as -

Range → {-2, 3, 5, 6}

Therefore, the range of the given function would be -

Range → {-2, 3, 5, 6}.

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Answer:

Step-by-step explanation:

my answer is  3 1/9 gallons

Given: a container with 3 1/2 gallons of weed killer can spray 2 1/4 lawns.

No. of gallons required to spray 2 lawns = x

So, first of all we should divide 3 1/2 with 2 1/4

now this division we should equalise with  x/3

(3 1/2 ÷ 2 1/4)  = x ÷ 2

after doing this we have got the value of x = 28/9  or 3 1/9

hence, 3 1/9 gallons is required to spray 2  lawns.

So . this question is related to capacity.

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Answer:

B) Line A has a greater slope than Line B.

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

9x-8=10

Add 8 to each side

9x-8+8=10+8

9x = 18

Divide by 9

9x/9 = 18/9

x = 2

Answer:

9x - 8 = 10

Step-by-step explanation: 9x - 8 = 10

9x = 10 + 8

9x = 18 (divide both sides by 9 to get x)

9x/9 = 18/9

x = 2

The simplified form of the given expression \(7^{\frac{5}{6} }\) × \(7^{\frac{7}{6} }\) is option d 49.

Given,

The expression = \(7^{\frac{5}{6} }\) × \(7^{\frac{7}{6} }\)

We can simplify this expression by using Laws of Indices;

The first rule: \(a^{n}\) × \(a^{m}\) = \(a^{m+n}\)

The second rule: \((a^{n}) ^{m}\) = \(a^{mn}\)

The third rule: \(a^{m}\) ÷ \(a^{n}\) = \(a^{m-n}\)

The fourth rule: \(a^{0}\) = 1

The fifth rule: \(a^{-1}\) = \(\frac{1}{a}\)  ; \(a^{-m}\) = \(\frac{1}{a^{m} }\)

The sixth rule: \(a^{\frac{1}{2} }\) = \(\sqrt{a}\)  ; \(a^{\frac{1}{m} }\) = \(\sqrt[m]{a}\)  ; \(a^{\frac{n}{m} }\) = \((a^{\frac{1}{m} } )^{n}\) = \((\sqrt[m]{a} )^{n}\)

Here we can use First, Second, Fifth and Sixth rule:

\(7^{\frac{5}{6} }\) × \(7^{\frac{7}{6} }\)

= \((7^{5} )^{\frac{1}{6} }\) ×\((7^{7} )^{\frac{1}{6} }\)

= \(16807^{\frac{1}{6} }\) × \(823543^{\frac{1}{6} }\)

= 5.061140185 × 9.68161288

= 49

That is, the simplified form of the expression \(7^{\frac{5}{6} }\) × \(7^{\frac{7}{6} }\) is 49.

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Answer:

x=11/3

Step-by-step explanation:

Answer:

x=11/3

Step-by-step explanation:

4x-(x+3)=8

4x-x-3=8

3x-3=8

x=11/3

                Hope this helps!! :)

Answer:

Step-by-step explanation:

a-6

b-165-240

c-165

d-182 and 152

e-174

Answer:

A

Step-by-step explanation:

67/20   improper fraction when changed to a mixed number is

3 7/20

that is equal to

3 14/40

David can best improve his investigation by including a control group. A control group is a group that does not receive any treatment or intervention and is used as a benchmark to compare the results of the experimental group. In this case, the control group would be a third young elm tree that is planted near the other two but does not receive any water or fertilizer. David can measure the height and trunk girth of the control tree every week for a year as well.

In scientific research, it is important to include a control group to ensure that the results of the experimental group are due to the treatment or intervention and not due to other factors. In this case, David is investigating the factors that affect plant growth, and he is manipulating the amount of water and fertilizer that the two elm trees receive. However, there could be other factors that affect plant growth, such as soil quality, sunlight exposure, temperature, and pests. If David only measures the height and trunk girth of the two elm trees that receive water and fertilizer, he cannot be sure if any changes in their growth are due to the treatment or due to other factors.

To improve his investigation, David can plant a third young elm tree near the other two and not give it any water or fertilizer. This third tree will serve as the control group, and David can measure its height and trunk girth every week for a year as well. By comparing the growth of the experimental group (the two elm trees that receive water and fertilizer) to the growth of the control group (the third elm tree that receives nothing), David can be more confident that any changes in the growth of the experimental group are due to the treatment and not due to other factors.

David can best improve his investigation by including a control group, which will serve as a benchmark to compare the results of the experimental group. The control group should be a third young elm tree that is planted near the other two but does not receive any water or fertilizer. David can measure the height and trunk girth of the control tree every week for a year as well. By comparing the growth of the experimental group (the two elm trees that receive water and fertilizer) to the growth of the control group (the third elm tree that receives nothing), David can be more confident that any changes in the growth of the experimental group are due to the treatment and not due to other factors.

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Answer:

171

Step-by-step explanation:

Answer:

A = 2x^2 + 2x - 12

Step-by-step explanation:

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

(use FOIL to solve)

A = 2x^2 + 2x - 12