Answer:
a. 0.94 = 94% probability that the firm will make at least one hire.
b. The expected value of the number of hires is 1.7, and the standard deviation is 0.8062.
Step-by-step explanation:
There is only a 6% chance that it will not make any hires
This means that P(X = 0) = 0.06.
16% chance that it will make all three hires.
This means that [tex]P(X = 3) = 0.16[/tex]
60% chance of hiring at least two candidates.
This means that:
[tex]P(X = 2) + P(X = 3) = 0.6[/tex]
[tex]P(X = 2) + 0.16 = 0.6[/tex]
[tex]P(X = 2) = 0.44[/tex]
Probability of one hire:
The sum of all probabilities, from no hires to three hires, is 1. So
[tex]P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 1[/tex]
[tex]0.06 + P(X = 1) + 0.16 + 0.44 = 1[/tex]
[tex]P(X = 1) = 0.66 = 1[/tex]
[tex]P(X = 1) = 0.34[/tex]
a. What is the probability that the firm will make at least one hire?
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.06 = 0.94[/tex]
0.94 = 94% probability that the firm will make at least one hire.
b. Find the expected value and the standard deviation of the number of hires.
Expected value:
[tex]E(X) = 0.06*0 + 0.34*1 + 0.44*2 + 0.16*3 = 1.7[/tex]
Standard deviation:
[tex]S(X) = \sqrt{0.06*(0-1.7)^2 + 0.34*(1-1.7)^2 + 0.44*(2-1.7)^2 + 0.16*(3-1.7)^2} = 0.8062[/tex]
The expected value of the number of hires is 1.7, and the standard deviation is 0.8062.
A man leaves the town of Elmsville at 8:00 am and drives to Oak City at a constant rate of 50 miles per hour. Two hours later, a woman leaves Elmsville following the same route to Oak City. The man and woman arrive in Oak City at 3:00 p.m. What was the rate of the woman
Answer: 70 mph
Step-by-step explanation:
Given
A man leaves the town of Elmsville at 8:00 am and reach oak city at 3 Pm
Rate of driving is 50 miles per hour
time taken by man [tex]t=7\ hr[/tex]
Woman leaves 2 hour later and reach by 3 Pm, so time taken is [tex]5\ hr[/tex]
Distance traveled by both the person is same
[tex]\therefore 50\times 7=v\times 5\quad[v=\text{rate of woman}]\\\\\Rightarrow v=\dfrac{50\times 7}{5}\\\\\Rightarrow v=70\ mph[/tex]
Thus , the rate of woman is 70 miles per hour.
The diameter of the stem of a wheat plant is an important trait because of its relationship to breakage of the stem. An agronomist measured stem diameter in eight plants of a particular type of wheat. The mean of these data is 2.275 and the standard deviation is 0.238. Construct a 80% confidence interval for the population mean.
Answer:
7.79771≤x≤8.20229
Step-by-step explanation:
Given the following
sample size n = 8
standard deviation s = 0.238
Sample mean = 2.275
z-score at 980% = 1.282
Confidence Interval = x ± z×s/√n
Confidence Interval = 8 ± 1.282×0.238/1.5083)
Confidence Interval = 8 ± (1.282×0.15779)
Confidence Interval = 8 ±0.20229
CI = {8-0.20229, 8+0.20229}
CI = {7.79771, 8.20229}
Hence the required confidence interval is 7.79771≤x≤8.20229
Drag each tile to the correct box.
Arrange the numbers as they appear from left to right on a horizontal number line.
-2.5
-2.57
-1.85
2.5
-2.76
-1.58
2.85
I
Answer:
-2.76
-2.57
-2.5
-1.85
-1.58
2.5
2.85
Hopefully this is what you mean. Have a nice day!
Step-by-step explanation:
How many 1/6 cup serving of rice and in 2/3 cup of rice
Answer:
4 serving cups
Step-by-step explanation:
Given
[tex]Serving\ cup = \frac{1}{6}[/tex]
[tex]Rice\ cup = \frac{2}{3}[/tex]
Required
The number of serving cup (n)
This is calculated by dividing the rice cup by the serving cup
[tex]n = \frac{Rice\ cup}{Serving\ cup}[/tex]
[tex]n = \frac{2/3}{1/6}[/tex]
Rewrite as:
[tex]n = \frac{2}{3} \div \frac{1}{6}[/tex]
Change to multiplication
[tex]n = \frac{2}{3} * \frac{6}{1}[/tex]
[tex]n = \frac{12}{3}[/tex]
[tex]n=4[/tex]
1.(06.05 MC)
Albiologist is comparing the growth of a population of flies per week to the number of flies a lizard will consume per week. She has devised an equation to solve for which day (x) the lizard
would be able to eat the entire population. The equation is 2* - 3 = 4x + 2.
Explain to the biologist how she can solve this on a graph using a system of equations. (10 points)
Help me please I NEED to pass this
OPTION C is the correct answer.
Hope it helps you.
HELP PLSSS I WILL GIVE THE FIRST PERSON TO ANSWER BRAINLYIST IF THERE RIGHT
i suck at math its easy
Option B and D are the correct answers
Answer:
A and B I guess so
What is the value of x?
O A. x=15
O B. x=10
O C. x=20
D. x=5
Which of the following graphs shows a pair of lines that represents the equations with the solution (3, −6)? (1 point)
Given:
The solution of two equation is (3,-6).
To find:
The graphs that shows a pair of lines that represents the equations with the solution (3, −6).
Solution:
In first graph, both line intersect each other at point (-6,3). So, the solution of the pair of lines is (-6,3).
In second graph, both line intersect each other at point (-3,6). So, the solution of the pair of lines is (-3,6).
In third graph, both line intersect each other at point (3,-6). So, the solution of the pair of lines is (3,-6).
In forth graph, both line intersect each other at point (6,-3). So, the solution of the pair of lines is (6,-3).
Therefore, the correct option is C.
Hello Plsss ...... this is important
HELP PLZZZZZZZZZZZ I NEED ITTT OMG
I hope this is help full to you
[tex]3) \: \: \: 4(2y + z) - 3(3y + z) \\ \\ = 8y + 4z - 9y + 3z \\ \\ = - y + 7z[/tex]
[tex]4) \: \: \: \: x(4x - 2) - 3x(x + 1) \\ \\ = 4x {}^{2} - 2x - 3 {x}^{2} - 3x \\ \\ = {x}^{2} - 5x[/tex]
[tex]5) a> \: \: 3(2 + c) \\ \\ = 6 + 3c[/tex]
[tex]b> \: \: \: 2a(b - 4) \\ \\ = 2ab - 8a[/tex]
[tex]c> \: \: \: ab(b + c) \\ \\ = ab {}^{2} + abc[/tex]
Hope This Helps You ❤️A department store manager noted that the sales of furniture contributed 20% of the store's profits in the year 2015 and 29% in the year 2016.
Of the following choices, which two statements about furniture sales are true?
a.) There was a 45% increase in furniture sales.
b.) Furniture sales rose by 45 percentage points.
c.) There was a 31% increase in furniture sales.
d.) There was a 9% increase in furniture sales.
e.) Furniture sales rose by 31 percentage points.
f.) Furniture sales rose by 9 percentage points.
Answer:
There was a 45% increase in furniture sales.
Furniture sales rose by 9 percentage points.
Step-by-step explanation:
absolute difference = new - old
29-20= 9 percentage points
absolute difference / initial value = 9/20 = .45 * 100 = 45%
Two statements which are true about furniture sales are [tex](a)[/tex] There was a [tex]45\%[/tex] increase in furniture sales and [tex](f)[/tex] Furniture sales rose by [tex]9[/tex] percentage points.
What is percentage ?Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
Percentage [tex]=\frac{Obtained\ number}{Total\ number}\ * 100[/tex]
We have,
Sales of furniture in [tex]2015=20\%[/tex]
Sales of furniture in [tex]2016=29\%[/tex],
So,
Change in Percentage [tex]=29-20=9\%[/tex]
i.e.
Sales rise by [tex]9\%[/tex] points,
And,
Increase in Percentage [tex]=\frac{9}{20}\ *100=45\%[/tex]
Hence, we can say that Two statements which are true about furniture sales are [tex](a)[/tex] There was a [tex]45\%[/tex] increase in furniture sales and [tex](f)[/tex] Furniture sales rose by [tex]9[/tex] percentage points.
To know more about Percentage click here
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Write the equation of the line passing through the point (−3,−4) that is perpendicular to y=8/3x+5.
Answer:
y = -3/8x -41/8
Step-by-step explanation:
Perpendicular lines intersect at 90° and their slopes are opposite reciprocals.
Therefore the slope changes from 8/3 to -3/8.
Now we must solve for the new y-intercept (b) by plugging in the given coordinate (-3,-4).
The result is b = -41/8 so our new equation is:
y = -3/8x -41/8
A random sample of 30 patties that were inspected over the course of the last week revealed that the average weight was 95.0 grams. The standard deviation was 0.25 grams. What percentage of the deliveries is likely to be outside the specification limits (outside the interval of [94.5, 95.5])
Answer:
4.56% of the deliveries are likely to be outside the specification limits.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average weight was 95.0 grams. The standard deviation was 0.25 grams.
This means that [tex]\mu = 95, \sigma = 0.25[/tex]
What percentage of the deliveries is likely to be outside the specification limits (outside the interval of [94.5, 95.5])?
Less than 94.5, or more than 95.5. Since the normal distribution is symmetric, these probabilities are the same, so we can find one of them and multiply by two.
The probability that it is less than 94.5 is the p-value of Z when X = 94.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{94.5 - 95}{0.25}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228
2*0.0228 = 0.0456
0.0456*100% = 4.56%
4.56% of the deliveries are likely to be outside the specification limits.
Write a statement that indicates that the triangles in each pair are congruent. NO LINKS!!
Answer:
23
UVW congruent to WFG
and
24
FHG congruent to LMN
Answer:
23 ) UVW is congruent to WGF
24 ) FHG is congruent to LMN
If two events are complementary, then we know that: Multiple Choice the sum of their probabilities is one. the joint probability of the two events is one. their intersection has a nonzero probability. they are independent events.
Answer:
The joint probability of the two events is one.
Step-by-step explanation:
Complementary events:
If two events are complimentary, these three following things are true:
They are dependent.
The intersection of them is zero.
The joint probability of the two events is one.
The last one is the correct choice.
Which expression is equivalent to 1/2x + 8
Answer:
1/2( x+16)
Step-by-step explanation:
1/2x + 8
Factor out 1/2
1/2*x + 1/2 *16
1/2( x+16)
For each sequence, find the first 4 terms and the 10th term.
a) 12-n
B 5 - 2n
Answer:
Solution given:
a.
tn=12-n
1 st term =12-1=11
2nd term =12-2=10
3rd term=12-3=9
4th term=12-4=8
10th term=12-10=2
b.
tn=5-2n
1st term=5-2*1=3
2nd term=5-2*2=1
3rd term=5-2*3=-1
4th term=5-2*4=-3
10th term=5-2*10=-15
(a) Solution
T(n) = 12 - n
T(1) = 12 - 1 = 11
T(2) = 12 - 2 = 10
T(3) = 12 - 3 = 9
T(4) = 12 - 4 = 8
T(10) = 12 - 10 = 2
(b) Solution
T(n) = 5 - 2n
T(1) = 5 - 2 = 3
T(2) = 5 - 4 = 1
T(3) = 5 - 6 = -1
T(4) = 5 - 8 = -3
T(10) = 5 - 20 = -15
15. Mr Muthu bought some apples and oranges. The price of the fruits were as shown below. Fruit Price Apples 60¢ each Oranges 80€ aach The ratio of the number of apples bought to the number of oranges bought was 3:4. He spent $75 on the apples and oranges. How many apples did he buy?
Answer:
40
Step-by-step explanation:
you mutiply then take away the 2 last digits
Answer:
Step-by-step explanation:
0.6*3t+0.8*4t=75
so t=15
apple=3t=45
orange=4t=60
Solve the problem 35×2/7=
35 × 2/7 =
2 × 35 / 7 =
2 × 5 × 7 / 7 =
Simplify 7
2 × 5 =
10
If 30 men can complete a work in 40 days,
In how many days 15 men will complete
it?
Answer:
80
Step-by-step explanation:
djdjdjdjdjdjkkkdkjrr
the multiplicative inverse of 5 2/3
Answer:
Step-by-step explanation:
5[tex]\frac{2}{3}[/tex]
first chnge to improper or proper fraction
5*2/3
10/3
multiplicative inverse of 10/3 = 3/10
What is the length of Line segment H A? 7 units 8 units 24 units 48 units
dogs alpha an 125789 SMS Skoda Eloisa 124579 harm Occam
Answer:
48
Step-by-step explanation:
correct on Edge 2021
Find the volume of the composite solid. Round your answer to the nearest
tenth.
Answer:
452.4 in³
Step-by-step explanation:
Volume half sphere = 1/2 volume sphere
Volume sphere = 4/3πr²
Volume = 4/3*3.14*27 Radius = 1/2(6) . 3³ = 27
Volume ≈ 113.1
Volume Cylinder = Area circle x hieght
Area circle = πr²
Area circle = 3.14 * 9
Area circle = 28.26
Volume cylinder = 28.26 * 12 = 339.12
339.12 + 113.1 = 452.22
Because of rounding it would be ≈ 452.4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Complete each congruence statement by naming the corresponding angle or side. NO LINKS!!!
Answer:
Solution given:
19
<JKL=<KLS
20
FD=GD
9514 1404 393
Answer:
19) ∠JKL ≅ ∠SLK
20) FD ≅ GD
Step-by-step explanation:
It works well to identify the locations of the letters in the congruence statement, then use the letters in the same order from the other part of the congruence statement.
19) Letters JKL have the order 312 in the first part of the congruence statement ΔKLJ ≅ ....
The last part of the congruence statement is ... ≅ ΔLKS. The letters in order 312 from that part are SLK, so we want our angle congruence to read ...
∠JKL ≅ ∠SLK
__
20) The letters we're given (FD) are in positions 31 of the first part of the triangle congruence statement. The letters in those positions in the second part are GD, so our segment congruence is ...
FD ≅ GD
what is the answer to tjis question? 7 more than h
Answer:
7>h
Step-by-step explanation:
Let P(x, y) denote the point where the terminal side of an angle θ meets the unit circle. If P is in Quadrant II and x = − 5⁄8 , evaluate the six trigonometric functions of θ.
The six trigonometric function of [tex]\theta[/tex] are [tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex], respectively.
In this question, we assume that x-component of the terminal point is part of a unit circle. Then, we can find the value of y by means of the Pythagorean theorem:
[tex]y = \sqrt{1-x^{2}}[/tex] (1)
If we know that [tex]x = -\frac{5}{8}[/tex] and P is in the second quadrant, then the value of y is:
[tex]y = + \sqrt{1-\left(-\frac{5}{8} \right)^{2}}[/tex]
[tex]y \approx 0.781[/tex]
By trigonometry, we remember the following definitions for the six basic trigonometric functions:
[tex]\sin \theta = \frac{y}{1}[/tex] (1)
[tex]\cos \theta = \frac{x}{1}[/tex] (2)
[tex]\tan \theta = \frac{y}{x}[/tex] (3)
[tex]\cot \theta = \frac{1}{\tan\theta}[/tex] (4)
[tex]\sec \theta = \frac{1}{\cos \theta }[/tex] (5)
[tex]\csc \theta = \frac{1}{\sin \theta}[/tex] (6)
If we know that [tex]x = -\frac{5}{8}[/tex] and [tex]y \approx 0.781[/tex], then the six basic trigonometric functions are, respectively:
[tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex]
The six trigonometric function of [tex]\theta[/tex] are [tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex], respectively.
We kindly invite you to check this question related to trigonometric functions: https://brainly.com/question/6904750
what are the prime factors of the greatest 4 digit number?
Answer:
The prime factors of the greatest 4 digit number are 3, 11 and 101.
Step-by-step explanation:
Hope it helps
a phone company uses the expression 1.25 + 0.10m to calculate the cost of a phone call that lasts m minutes. what is the cost of a call that lasts 20 minutes?
Answer:
[tex]f(20) =3.25[/tex]
Step-by-step explanation:
Given
[tex]f(m) = 1.25 + 0.10m[/tex]
Required
[tex]f(20)[/tex]
We have: [tex]f(m) = 1.25 + 0.10m[/tex]
Substutute 20 for m
[tex]f(20) =1.25 + 0.10*20[/tex]
[tex]f(20) =1.25 + 2[/tex]
[tex]f(20) =3.25[/tex]
Easy question please help
Answer:
[tex]y = 3x - 2[/tex]
Step-by-step explanation:
Required
The equation of the above linear function
From the table, we have:
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (2,4)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{4 -1}{2 -1}[/tex]
[tex]m = \frac{3}{1}[/tex]
[tex]m =3[/tex]
The equation is:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 3(x - 1) + 1[/tex]
[tex]y = 3x - 3 + 1[/tex]
[tex]y = 3x - 2[/tex]
