Assume that when human resource managers are randomly​ selected, 44​% say job applicants should follow up within two weeks. If 5 human resource managers are randomly​ selected, find the probability that exactly 2 of them say job applicants should follow up within two weeks.

The probability is ....

The equation and solution of the problem are 3/8-7/8 and 1/2.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given;

The food parrot eats = 3/8pounds

The food cat eats = 7/8pounds

Now, food eaten more by cat =7/8-3/8

=(7-3)/8

=4/8

=1/2

Therefore, the answer to equation will be 1/2.

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a.The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b.  the probability is 0.1399.

c. the quarterback can expect to throw about 2.27 passes before completing one.

d. the probability is 0.1865.

e. the probability is 0.7349.

The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.

a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:

P(X=k) = \((1-p)^{k-1}\)×p

where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.

The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:

P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰

= 0.56²×0.44

= 0.1399

Therefore, the probability is 0.1399.

c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:

E(X) = 1/p

where p is the probability of completion on each attempt.

In this case, p = 0.44, so the expected number of passes is:

E(X) = 1/0.44

= 2.27

Therefore, the quarterback can expect to throw about 2.27 passes before completing one.

d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:

P(X > 5) = 1 - P(X <= 5)

= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]

= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]

= 0.1865

Therefore, the probability is 0.1865.

e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:

P(X ≥ 4) = 1 - P(X < 4)

where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.

Using the binomial probability distribution table or calculator, we can find:

P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]

= 0.7349

Therefore, the probability is 0.7349.

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The probability that at least 2 students feel like they can do better in their math class is E. 0.9130.

To find the probability that at least 2 students feel like they can do better, we need to calculate P(X >= 2). This can be done using the cumulative distribution function (CDF) of the binomial distribution:

P(X >= 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

Using the binomial probability formula, we can calculate:

P(X = 0) = (5 choose 0) * 0.6^0 * 0.4^5 = 0.01024

P(X = 1) = (5 choose 1) * 0.6^1 * 0.4^4 = 0.07680

Therefore,

P(X >= 2) = 1 - 0.01024 - 0.07680 = 0.91296

Rounding this to four decimal places, we get: 0.9130

Therefore, the answer is option E: 0.9130.

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Answer:

1460

Step-by-step explanation:

rounding to the nearest ten, that is nearest to 1456 which would be 1460 (hope this helps! ) ♡

Answer:

1460

Step-by-step explanation:

Original number is 1 4 5 6

To round to the nearest ten, look at the digit in the 10's place and the digit immediately to the right of it

The digit in the tens place is 5

If the digit to the immediate right of this digit is 5 or greater, round the digit in the tens place up by one digit and set the immediate right digit to 0

So 5 rounds up to 6

The 6 to the immediate right(units place becomes 0)

1 4 5 6 rounded to nearest ten==> 1 4 6 0

The equation that represents the distance traveled by the second car is 60(t + 1.33).

Let t = travel time of the 2nd car when it overtakes the 1st

:

Find the travel time of the 1st car to go 80 mi; time = dist/speed

time = 80%2F60

time = 1.33 hrs for the 1st car to go 80 mi

therefore

(t+1.33) = travel time of the 1st car when it is overtaken

:

When the 2nd overtakes the 1st, they will have traveled the same distance

Write a distance equation, dist = speed * time

:

2nd car dist = 1st car dist

70t = 60(t+1.33)

70t = 60t + 80

70t - 60t = 80

10t = 80

t = 8 hrs travel time of the 2nd car to overtake the 1st

:

;

Confirm this by finding the actual distances, should be equal

70*8 = 560 mi

60*9.33 ~ 560 mi

Hence , the equation that represents the distance traveled by the second car is 60(t + 1.33).

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Answer:

28.72% of students failed the course

Step-by-step explanation:

P(0<X<55) = normalcdf(0,55,74,10) = 0.287164928 = 28.72% of students failed the course

Answer:

No, it is not true. (Tell me if I am incorrect)

Step-by-step explanation:

6/12>1/3

0.5>0.3 repeating

6/12= 1/2

Answer:

False

Step-by-step explanation:

6/12 = 0.5

1/3 = 0.33333

Therefore, they are not equal.

Answer:

m = 3

Step-by-step explanation:

up 3, right 1

3/1 = 3

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.

given

Put this together using the conditions given: 319.14 / (1- 19%)

Determine the total or difference: 319.14 / 0.81

Diminish the fraction: 394

Response: 394

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

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Answer:

  D. x = 0.5

Step-by-step explanation:

A graphing calculator is the quickest way to get to an answer here.

  f(x) = g(x) for x = 0.5

__

We can find the y-intercepts of the two functions to be ...

  f(0) = -3

  g(0) = -2

We know the x-intercept of g(x) is x=4. The x-intercept of f(x) will be a value less than 1, because f(1) = 1. (The function crosses the x-axis between x=0 where f(x) < 0 and x=1, where f(x) > 0.)

Considering these intercept points, we know the value of x for f(x)=g(x) will be between x=0 and x=1. There is only one answer choice in that interval:

  x = 0.5

Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

The probabilities are found to be 0.00196 in case- 1  and  

1 / 158753389900  in case - 2.

Note that there are a total of 52 cards in bridge, so by combinations that there are a total of

(13

52)    numbers to deal 13 cards. There are a total of 13 spades, hearts, diamonds and clubs, respectively, so there are

(13

6)   ways to get spades, etc., so that by multiplication principle the probability in we're looking for:

( a )  ( 13      (13      (13      (13

          6)       4)       2)        1)

                      (52

                       13)

      =  1716x715x78x13 / 635013559600

      =  0.00196.

( b)  there are a total of 4 drawings where all 13 cards are are of the same suit, corresponding to a choice of either spades, hearts, diamond, or clubs. Therefore the probability here is given by :

                4 / ( 52       =    4/ 635013559600

                        13)

                                   =    1 / 158753389900 .

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Answer:

3.3939

rounded off = 3

33 goes in 112 3 times

Answer:

KC to StL = 300

KC to Den = 600

Step-by-step explanation:

KC to StL was the base distance, so we'll call that x.

KC to Denver is twice as long, so we'll call that 2x.

If we add the together is is 900 miles total.

x + 2x = 900    Combine like terms

3x = 900          Divide by 3

x = 300

If x is 300, then 2x is 600.

Answer:

3b = x

Step-by-step explanation:

X is the product of 3 and b (3b).

The algebraic expression for the product of 3 and b will be 3b = x.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features

Given that the word expression is a product of 3 and b​. The expression can be written as below,

E = 3b

Therefore, the algebraic expression for the product of 3 and b will be 3b = x.

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Answer:

<1 and <3

They are verticle angles.

Answer: <1 and <3

Hope this helps :D

Pls don’t mad if this is wrong

Answer:

\(y'=2(3x+4)^3(x^2-4)^4(21x^2+20x-24)\)

Step-by-step explanation:

\(y=(x^2-4)^5(3x+4)^4\)

\(y'=[\frac{d}{dx}(x^2-4)^5](3x+4)^4+(x^2-4)^5[\frac{d}{dx}(3x+4)^4]\)

\(y'=10x(x^2-4)^4(3x+4)^4+(x^2-4)^5(12(3x+4)^3)\)

\(y'=10x(x^2-4)^4(3x+4)^4+12(x^2-4)^5(3x+4)^3\)

\(y'=2(3x+4)^3(x^2-4)^4(21x^2+20x-24)\)

Answer: Sandra bought 4 pounds of sweet potatoes for $6.40. What is the cost per pound of the sweet potatoes?

$1.57

Step-by-step explanation: pls give brainiest

Answer:

The answer to your question is $1.57.

Step-by-step explanation:

To find the cost per pound of sweet potatoes, divide $6.28 by 4.

6.28 ÷ 4= $1.57

I hope this helps and have a wonderful day!

Suppose \(-4y+2\ge0\). Then by definition of absolute value,

\(|-4y+2| = -4y+2 \implies 30 = -4y+2 \implies -4y = 28 \implies \boxed{y=-7}\)

On the other hand, suppose \(-4y+2<0\). Then

\(|-4y+2| = -(-4y+2) \implies 30 = 4y - 2 \implies 4y = 32 \implies \boxed{y=8}\)

Recall the definition,

\(|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}\)

The length of the ladder that is leaning on the building would be = 24ft. That is option B.

To determine the length of the ladder, the sine rule needs to be obeyed. That is

= a/sinA = b/sinB

Where;

a = 8.2 ft

A = 180-( 70+90

= 180- 160

= 20°

b = X

B = 90°

That is;

8.2/sin20° = b/sin90°

Make b the subject of formula;

b = 8.2×1/0.342020

= 23.9

= 24 ft

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I assume 3π/2 < x < 2π, so that x is in the 4th quadrant. For angles x terminating in Q4, we have sin(x) < 0 and cos(x) > 0, so tan(x) = sin(x)/cos(x) < 0.

This means that, using the Pythagorean identity,

cos(x) = + √(1 - sin²(x)) = 4/5

tan(x) = (-3/5) / (4/5) = -3/4

Recall the double angle identities:

sin(2x) = 2 sin(x) cos(x) = 2 (-3/5) (4/5) = -24/25

cos(2x) = 2 cos²(x) - 1 = 2 (4/5)² - 1 = 7/25

tan(2x) = 2 tan(x) / (1 - tan²(x)) = 2 (-3/4) / (1 - (-3/4)²) = -24/7

Given the following definite integral.

We will use the substitution to solve the definite integral

Let the following:

Substitute into the given integral:

Now, we will use the following identity:

So, the integral will be:

substitute θ = π/2, and θ = -π/2

So, the value of the integral =

So, the answer will be: Area = 8π

The graph of the given function is shown in the following picture

Answer:

  € 1125

Step-by-step explanation:

Data :

   $  = 1500

   €  =  ?

And    1$ = 0.75€

So  

        1500 × 0.75 = 1125

Mark brainliest if you understand

Answer:

0.205177 mi

Step-by-step explanation:

Step 1: Find conversions

12 in = 1 ft

5280 ft = 1 mi

Step 2: Use Dimensional Analysis

\(13000 \hspace{2} in(\frac{1 \hspace{2} ft}{12 \hspace{2} in} )(\frac{1 \hspace{2} mi}{5280 \hspace{2} ft} )\)

0.205177 mi

Answer: C

Step-by-step explanation: it has to go like this a m

Answer:

The quen is as following:

ABC is a right triangle at C,

Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1

If CH is an altitude to AB and CL is an angle bisector of ∠ACB, find m∠HCL.

The solution is:  m∠HCL = 30°

Step-by-step explanation:

See the attached figure.

∵The triangle is right at C   ∴∠C = 90°

∴∠A + ∠B = 90° ⇒(1)

∵ Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1

∴∠A = 5 times ∠B

Substitute at (1)

∴ 5 ∠B + ∠B = 90° ⇒⇒⇒ ∴∠B = 15°  and ∠A = 75°

∵CL is an angle bisector of ∠ACB

∴ ∠ACL = 90°/2 = 45°

∵ CH is an altitude to AB ⇒ ∠CHA = 90°

At the triangle AHC:

∠ACH = 180° - (∠CHA + ∠CAH) = 180° - (90° + 75°) = 15°

∴ ∠HCL = ∠ACL - ∠ACH = 45° - 15° = 30°

Answer:

3 hours

Step-by-step explanation:

3 Men-5 hours

5 men-?

1 man-3×5= 15 hours

therefore 5 men =15÷5= 3 hours

Answer:

The average population growth per year is 102.

Step-by-step explanation:

From the given data, we can find the slope which will give us the average rate of change. Our points are:

\((2003, 903)\quad and \quad (2007, 1311)\)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{1311-903}{2007-2003}\\\\m=102\)

Best Regards!