which combination of numbers of hours would allow carson to work 15 hours in one week and earn at least $96
Answer:
15x=96
x=6.4
Step-by-step explanation:
In a large company, the proportion of employees who were promoted during the last year was 0.10. If 100
employees were chosen from this company randomly, what is the probability that at least 15 of them were
promoted during the last year?
O 0.5
O 0.4525
O 0.0475
O 0.9525
Answer:
0.0475
Step-by-step explanation:
We use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In a large company, the proportion of employees who were promoted during the last year was 0.10.
This means that [tex]p = 0.1[/tex]
100 employees
This means that [tex]n = 100[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 100*0.1 = 10[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.1*0.9} = 3[/tex]
What is the probability that at least 15 of them were promoted during the last year?
This is [tex]P(X \geq 15)[/tex], which is 1 subtracted by the pvalue of Z when X = 15. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15 - 10}{3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a pvalue of 0.9525
1 - 0.9525 = 0.0475.
0.0475 is the answer.
Use <, >, or = to compare the following decimals.
(a) 6.37 |?| 2.68
(b) 0.1 |?| 0.04
(0) 7.7 |?| 7.70
Answer:
A is >
B is >
C is =
I hope this helps you.
Bob asked each of 40 friends how many minutes they took to get to work.
The table shows some information about his results.
Frequency
3
8
Time taken (m minutes)
0
10
20
30
40
11
9
9
Work out an estimate for the mean time taken.
HELP With this question
Answer:
Step-by-step explanation:
sin 60=CB/18
[tex]\frac{\sqrt{3} }{2} =\frac{CB}{18} \\CB=9\sqrt{3}[/tex]
A bicycle is $240 and the sales tax is 9%. How much money is the tax?
Answer:
$21.60
Step-by-step explanation:
240 x .09 = 21.60
help me please Graph y = - l x-4 l
Answer:
y= -41
Slope= -1
Step-by-step explanation:
On the Y-axis put a point on -41. After you did that do down one unit and right one unit. Repeat this step below the Y-axis. Above the Y-axis you do the opposite. Go up one unit and left one unit. Repeat this step above the Y-axis. Hope you understood me :)
Which equation best matches the graph shown to the right?
Answer:
y=1x+20
Step-by-step explanation:
character requirement
What is the area???
Answer:
0.833333333 or 83/100 mi squared
Step-by-step explanation:
a = b x h / 2
Answer:
0.333
Step-by-step explanation:
Name all pairs
complementary angles
Answer:
See Explanation
Step-by-step explanation:
Require
All complementary angles
The image is blur and the texts are unreadable. However, the following explanation will assist you
To determine a pair of complementary angles, then both angles must add up to 90.
For instance: 50 and 40; 72 and 18, 10 and 80 etc.
So, all you need to do is select all pairs of angles that add up to 90 in the given image.
Take for instance:
[tex]\angle ABC = 50[/tex] and [tex]\angle BDE = 40[/tex] -- assumed values
This means that, you will select [tex]\angle ABC\ \&\ \angle BDE[/tex] as a pair
If the domain of f(n) = -4n - 3 is (-1, 1/4, 4), what is the range?
{-1, 2, -19)
{-7.-4.-13)
{1, -4, -19)
Explain why the t-distribution has less spread as the number of degrees of freedom increases. Choose the correct answer below. A. The t-distribution has less spread as the degrees of freedom increase because the variability introduced into the t-statistic becomes greater as n increases. B. The t-distribution has less spread as the degrees of freedom increase because, as n increases, s becomes closer to by the law of large numbers. C. The t-distribution has less spread as the degrees of freedom increase because, as n increases, less information is known about by the law of large numbers. D. The t-distribution has less spread as the degrees of freedom increase because, for large values of n, n30, the t-distribution and the normal distribution are the same.
Answer:
B. The t-distribution has less spread as the degrees of freedom increase because, as n increases, s becomes closer to sigma by the law of large numbers.
Step-by-step explanation:
The sample standard deviation, s gets considerably closer to the population standard deviation, σ, this trend follows the proposition of the law of large numbers whereby the mean or average value changes as the sample size, n increases. According to the law of large numbers, as the sample size increases, the sample mean gets continously closer to the population mean, sample standard deviation follows this same trend and thus variability or spread decreases as sample size increases.
The plausible reason that explains why the t-distribution will have a less spread as the number of degrees of freedom increases is because: as n increases, s becomes closer to by the law of large numbers. (Option B)
Note the following:
Based on the theorem of large number, the population mean and sample mean will get closer as the sample size increases.By implication, the sample standard deviation, s, and the population standard deviation, σ becomes closer too, thus, the spread will reduce as the sample size increases.Therefore, the plausible reason that explains why the t-distribution will have a less spread as the number of degrees of freedom increases is because: as n increases, s becomes closer to by the law of large numbers. (Option B)
Learn more here:
https://brainly.com/question/18457726
Marvin earns $9.75 per hour at his summer job. He wants to buy a video game system that costs $224.25
Enter an equation to model the relationship between the number of hours worked h and the amount earned e
The equation is:
Answer:
slope- (261)
Step-by-step explanation:
What is the answer to this question
Answer:
49
Step-by-step explanation:
because, A right angle has an angle of 90° degree
so, 41+49
= 90
hence, proved.
if it helps don't forget to like and mark me
Help with this :))))))))))))
Answer:
24
Step-by-step explanation:
120/6=20
300/15=20
360/18=20
480/20=24
Check:
480/24=20
Answer: 20???
Step-by-step explanation:
Please help meee I need help
Answer:
5
6
Step-by-step explanation:
To solve, collect like terms
x ≥ 2 + 21/2
x ≥ 4 1/2
the whole number that would be greater than 41/2 would be 5
2. 2.7 + 3.3 > x
6 > x
PLEASE HELPPP THIS TWOOO
Answer:
learning task 3.4
1) p-3
2) (8÷d)+6
3) 11-(9×4)
4) 4÷2
5) (10+6)÷4
Which two figures have the same number of bases?
cylinder and cone
triangular pyramid and cone
cone and triangular prism
triangular pyramid and cylinder
QUESTION:
Which two figures have the same number of bases?
ANSWER:
Cone and Triangular pyramid.
I just wanted the points :)
Answer:
Its B i did quiz trust me
Step-by-step explanation:
also please mark me brainliest
if cathy myra and eva all take 2.0 h to walk from their house to their school at a rate of 1.0 m/s how far is their school from the house
Please help me with this!! I don’t understand it at all (trigonometry)
Hi there!
[tex]\large\boxed{cos(\frac{\theta}{2} )= \frac{3}{\sqrt{7}}}[/tex]
[tex]\large\boxed{tan(\frac{\theta}{2}) = \frac{\sqrt{5}}{3}}[/tex]
Begin by recalling that:
sin(θ) = O/H, so:
Opposite side = 3√5
Hypotenuse = 7
We can solve for the adjacent sign using the Pythagorean Theorem:
7² = (3√5)² + b²
49 = 45 + b²
b² = 4
b = 2.
Thus, cosθ = 2/ 7
Use the half angle identity to solve for cos(θ/2):
cos(θ/2) = √(1 + cosθ)
Plug in the value of cosθ:
= √(1 + 2/7) = √9/7, or 3 /√7
Thus:
[tex]cos(\frac{\theta}{2}) = \frac{3}{\sqrt{7}}[/tex]
Calculate tan(θ/2) using the same process but with a different formula:
tan(θ/2) = √(1 - cosθ / 1 + cosθ)
Substitute in the value of cosθ:
tan(θ/2) = √(1 - 2/7)/(1 + 2/7)
= √(5/7)/(9/7) = √5/9 = √5/3
find the missing length
Answer:
36
Step-by-step explanation:
since the triangles are similar, that means that they have the same angles, and all 3 correlating sides have the same scaling factor.
C correlates to R.
B to Q.
A to P.
therefore,
CB correlates to RQ.
84 / 18 = 14 / 3
so, the scaling factor from ABC to PQR is
3/14
AB to PQ must have the same scaling factor :
168 × 3/14 = 12 × 3 = 36
which is also (of course) confirming the ratio of leg to baseline of the original triangle :
AB : CB = 168 : 84 = 2 : 1
and now
PQ : RQ = 36 : 18 = 2 : 1
Show on a number line 2/3 's?
2(3b-1)=40
Simplify.
Answer:b=7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(3b−1)=40
(2)(3b)+(2)(−1)=40(Distribute)
6b+−2=40
6b−2=40
Step 2: Add 2 to both sides.
6b−2+2=40+2
6b=42
Step 3: Divide both sides by 6.
6b/6=42/6
b=7
Somebody please help me!!!
pls help i dont know the answer to this
Answer:
4 1/12
Step-by-step explanation:
make all the denominators 12 so u can add them easier
2 1/12 + 2 4/12 + 3 2/12 = 7 7/12
nn subtract from the 11 2/3
11 8/12 - 7 7/12 = 4 1/12
The 12 girls on the dance team want to raise $300.00 to buy practice shoes. They have already raised $137.52. If each girl raises the same amount, how much more money must each student raise?
A. $13.54
B. $25.00
C. $11.46
D. $36.46
How many solution(s) does the equation x2 - 6x + 6 = -3 have?
Answer:
2 solutions
Step-by-step explanation:
Help! I dont know units well..
You rent a boat for $1.00 per hour plus a $15.00 insurance fee. Your friend rents another boat for $4.00 per hour and no fee. For how many hours will you end up paying the same?
Answer:
5 hours
Step-by-step explanation:
x = per hour
y = total cost
You:
y = x + 15
Your friend:
y = 4x
To find the same:
y = x + 15
y = 4x (Multiply by -1)
y = x + 15
-y = -4x
0 = -3x + 15
-3x = -15
x = 5
Write an expression using an exponent to represent the following: Adnan Start with one coin. the number of coins doubles every day. How many coins will he have on day 8?
Answer: 128
Step-by-step explanation:
day 1: 1
day 2: 2
day 3: 4
day 4: 8
day 5: 16
day 6: 32
day 7: 64
day 8: 128
ALSO.
you can solve it by doing 2 to the power of 8
2^8 is the expression