Answer:
3/8=9/24
7/6=28/24
Step-by-step explanation:
[tex]\frac{3}{8}\cdot \frac{3}{3}=\frac{9}{24}[/tex]
[tex]\frac{7}{6}\cdot \frac{4}{4}=\frac{28}{24}[/tex]
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.
show work , I’ll vote you brainliest if it is correct . Thank you
Answer:
Whats the question to this problem? Do you want to know if it's correct?
i can help! Just show your work? 1/2 times whatever X is + X+1 over whatever X is = 1/2 i can get the answer if you need it unless what i said helped! :) Your welcome!
Step-by-step explanation:
Have a great week! Hope i helped! Plz dont delete answer i promise i will help and it will be correct!
Please help!
The distance between two tall buildings is 480ft. While standing on the roof of the shorter building, an inquisitive geometry student measures the angle of descent to the base of the taller building to be 48 degrees. She also measures the angle of elevation to the top of the taller building to be 25degrees. How tall is the shorter building? How tall is the taller building?
Answer:
450ft
Step-by-step explanation:
In the picture
function g is a transformation of function f using a horizontal shift 3 units left and vertical compression by a factor of 1/2 . plot the corresponding point on function g.
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Answer:
g(x) = x + 1
Step-by-step explanation:
The transformation "shift left 3 units" is accomplished by replacing x in the function definition by x+3.
F(x) is defined as ...
f(x) = 2x -4
Then the left shift gives ...
f(x +3) = 2(x +3) -4 = 2x +2
__
The transformation "vertical compression by a factor of 1/2" is accomplished by multiplying the function by 1/2.
g(x) = 1/2f(x +3) = (1/2)(2x +2)
g(x) = x +1
__
In the attached, we wanted to show where the table points would end up if they were shifted left 3, then moved half their vertical distance toward the x-axis (compression by 1/2). Doing that, the points in the first table become the points in the second table. This is different from what you get when you simply substitute the same values of x into the new function g.
Consider, for instance, the bottom left point on the red graph. When it is moved 3 left, its coordinates are (-3, -4). When the y-coordinate is cut in half, its new location is (-3, -2), the bottom left point on the blue graph.
The double box plot shows the cost of the top-selling lunch menu items at two local restaurants. Determine which inference is true about the two populations.
Answer:
The spread of the data for The Red Brick Grill is greater than that for Sophie's Cafe.
Step-by-step explanation:
In the picture
Drag each tile to the table to multiply
(6x – y)(2x – y + 2).
fill the table
2x -y 2
6x 12^2 -6xy 12x
-y -2xy y^2 -2y
Help please !!! I don’t know what to do
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Answer:
6. x = 3
8. x = -7.5
Step-by-step explanation:
Put the number in place of the expression it is equal to, then solve for x.
__
6) g(x) = -x +5
2 = -x +5 . . . . . . . . . g(x) is replaced by 2, because g(x) = 2
x +2 = 5 . . . . . . . . . . add x to both sides
x = 3 . . . . . . . . . . . . . subtract 2 from both sides
__
8) n(x) = -2x -21
-6 = -2x -21 . . . . . n(x) is replaced by its equal: -6
3 = x +10.5 . . . . . . divide both sides by -2
-7.5 = x . . . . . . . . . subtract 10.5 from both sides
_____
Additional comment
We have shown a couple of ways these equations can be solved. You can separate the x-term and the constant terms before you divide by the x-coefficient, or you can do it after. In the first equation, we could have solved it ...
2 -x +5
-3 = -x . . . . subtract 5
3 = x . . . . . . multiply by -1
The way we did it avoids negative numbers.
a publisher for a promising new novel figures fixed costs overhead, advances, promotion, copy editing, type setting and so on at $57,000 and variable costs printing, paper, binding, shipping at $2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?
Answer:
$2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?
Step-by-step explanation:
. citizen of the represented state
In a sequence of numbers, a4=9, a5=13, a6=17, a7=21, and a8=25.
Which equation can be used to find the nth term of the sequence, an?
A = an=4n+9
B = an=7n−4
C = an=4n−7
D = an=9n+4
Answer:
The answer is C i.e an=4n-7
Find the mean of the data in the dot plot below.
Answer:
the mean is 83.6
Step-by-step explanation:
Answer:
The mean is 83.6 cm
Step-by-step explanation:
81 + 83 +84 + 85 + 85 = 416
416 divided by 5 = 83.6
1 1/4 x 1 1/3 plsss help
Answer:
exact form: 5/3
decimal form: 1.6 (6 is repeating)
mixed number form: 1 2/3
Step-by-step explanation:
Answer:
1 2/3
Step-by-step explanation:
1 1/4 x 1 1/3 = 5/4 x 4/3 = (5x4)/(4x3) = 20/12 = 5/3 = 1 2/3
Create an inequality, 5 less than a number is less than -2
Answer:
x - 5 < -2
Answer is there
What is the quotient of -3/8 and -1/3
Answer:
(-3/8)/(-1/3)
=(-3/8) x (-3)
=9/8
=11/8
Step-by-step explanation:
how much do i need to get to 500 so rite now I have 423 and I need 500
like for exampole 485+15=15
Answer:
77
Step-by-step explanation:
just do 500-423
Solve for
3+4 |x/2 + 3| = -11
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Answer:
no solution
Step-by-step explanation:
The absolute value cannot be negative. Here, the absolute value expression must be -3.5 in order to satisfy the equation. It cannot have that value.
there is no solution
A jar contains 3 blue marbles, 4 yellow marbles, and 3 green marbles.
What is the probability of randomly choosing a yellow marble, replacing
it, and then choosing a blue marble?
Answer:
3/25
Step-by-step explanation:
There are 10 total marbles
P(yellow) = yellow/total = 4/10 = 2/5
We replace it so there are 10 marbles
P(2nd marble blue) = blue /total = 3/10
Multiply the two probabilities together
P(yellow, replace, blue) =2/5*3/10 = 3/25
Answer:
3/25
Step-by-step explanation:
gvfhcfhvg fbdhuvd
1 point
8. The dot plot below represents the number of dollars in allowance that
students receive each week in Mrs. Jimenez's class. What is the median
amount of allowance?
1...
+
2
+
4
+
12
+
14.
O
6
8
10
16
DOLLARS OF ALLOWANCE EACH WEEK
Answer:
6
Step-by-step explanation:
i am not sure but i think its right sorry if you get it wrong
find the 12th term in the sequence: 1/16, -1/8, 1/4
Answer:
Step-by-step explanation:
hello :
the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2 = r
the nth term is : An =A1 × r^(n-1)
a common ratio is : r and A1 the first term
in this exercice : r =2 A1 = 1/16
when : n =12 you have the 12rd term A12
A12 = 1/16 × 2^(12-1) = 1/16 × 2^(11)
A plumber charges a customer a one-time service fee of $79, $62 per hour for labor, and a surcharge of $15 per hour due to the call being an emergency.
Write an expression to represent the total charges for the plumber in two different ways. Let h represent the number of hours the job takes.
Answer:
As a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:
Option 1:
Fixed amount + amount per hour multiplied by the number of hours + emergency amount multiplied by the number of hours = X
79 + 62H + 15H = X
Option 2:
Fixed amount + sum of emergency amount and the amount per hour multiplied by the number of hours = X
79 + ((62 + 15) x H) = X
Find the solution of the system of equations.
Answer:
(1, -7)
Step-by-step explanation:
If you need the work:
5x+3y =-16
5x= -3y -16
x= -3/5y - 16/5
---------------
Substitute x
-10x-3y=11
-10(-3/5y-16/5)-3y=11
y= -7
---------------
Substitute y
x= -3/5(-7) -16/5
x= 1
A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 4% of the true proportion. Find the sample necessary if, in a prior study, a sample of 200 people showed that 40 traveled overseas last year. If no estimate of the sample proportion is available, how large should the sample be
Answer: If in a prior study, a sample of 200 people showed that 40 traveled overseas last year, then n= 385
If no estimate of the sample proportion is available , then n= 601
Step-by-step explanation:
Let p be the prior population proportion of people who traveled overseas last year.
If p is known, then required sample size = [tex]n=p(1-p)(\dfrac{z^*}{E})^2[/tex]
z-value for 95% confidence = 1.96
E = 0.04 (given)
[tex]p=\dfrac{40}{200}=0.2[/tex]
[tex]n=0.2(1-0.2)(\dfrac{1.96}{0.04})^2=384.16\approx385[/tex]
Required sample size = 385
If p is unknown, then required sample size = [tex]n=0.25(\dfrac{z^*}{E})^2[/tex]
, where E = Margin of error , z* =critical z-value.
z-value for 95% confidence = 1.96
E = 0.04 (given)
So, [tex]n=0.25(\dfrac{1.96}{0.04})^2=600.25\approx601[/tex]
Required sample size = 601.
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)
please help me im so confused
Answer:
3 ang sagot
Step-by-step explanation:
hssjshhdhsjsisosokaksks
thx me later
Find the conjugate and product of
i2 + 9
Answer:
i2 - 9
-85
Step-by-step explanation:
Conjugate of an expression is gotten by simply changing the sign to the opposite sign. For example, the conjugate of 5 is -5, the conjugate of x+2 is x-2. Given the complex value 2i+9, the conjugate will be -85
Taking their product
(2i+9)(2i-9)
Expand
2i(2i)-9(2i)+9(2i)+9(-9)
= 4i²-18-+18i-81
= 4i² - 81
Since i² = -1
= 4(-1) - 81
= -4-81
= -85
Hence the product will give -85
Write the missing fractions.
1/3 + ? = 1
3/5 + ? = 1
Step-by-step explanation:
• Question 1 :-
[tex]\tt\to \dfrac{1}{3}+? = 1 \\\\\tt\to ? = 1-\dfrac{1}{3}\\\\\tt\to ?=\dfrac{3-1}{3} \\\\\tt\to \boxed{\orange{ ? = \dfrac{2}{3}}}[/tex]
_________________________________
• Question 2 :-
[tex]\tt\to \dfrac{3}{5}+? = 1 \\\\\tt\to ? = 1-\dfrac{3}{5}\\\\\tt\to ?=\dfrac{5-3}{5} \\\\\tt\to \boxed{\orange{ ? = \dfrac{2}{5}}}[/tex]
What does please put it in simplest radical form and rationalize the denominators
N=
M=
Answer:
n = 6
m = 6√3
Step-by-step explanation:
Reference angle = 30°
Opposite = n
Adjacent = m
Hypotenuse = 12
✔️To find n, apply the trigonometric ratio, SOH:
Sin 30° = Opp/Hyp
Sin 30° = n/12
n = Sin 30° × 12
n = ½ × 12 = 6
✔️To find m, apply the trigonometric ratio, CAH:
Cos 30° = Adj/Hyp
Cos 30° = m/12
m = Cos 30° × 12
m = √3/2 × 12 (cos 30 = √3/2)
m = √3 × 6
m = 6√3
how to get the answer.
how to get the 1.2762815625?
I know it says to multiple, but how to multiple to get that number?
thanks
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Answer:
1.05 × 1.05 × 1.05 × 1.05 × 1.05 = 1.2762815625
Step-by-step explanation:
An exponent indicates how many times the base is a factor in the product. That is, 1.05 to the 5th power means ...
1.05⁵ = 1.05 × 1.05 × 1.05 × 1.05 × 1.05
This multiplication expression is evaluated in the usual way.
= 1.1025 × 1.05 × 1.05 × 1.05
= 1.157625 × 1.05 × 1.05
= 1.21550625 × 1.05
= 1.2762815625
__
All scientific and graphing calculators have a button for computing the power of a number. On my calculator its label is [tex]\displaystyle \boxed{y^x}[/tex]. The particulars of the function of this button can be found in the manual for your calculator.
For on-line calculators, such as the go.ogle calculator, or the Desmos graphing calculator, the caret (^) is used to signify an exponent. (See the input line in the first attachment for an example.)
Which temperature is warmer: -3 or -4 degrees Celsius?
Answer:
-3
Step-by-step explanation:
Chuck put new wallpaper in his bathroom. The pattern of the wallpaper
used 3 triangles to make a straight angle. The measures of the angles
are (9x - 72). (73x + ) and 11) What is the measure of the
obtuse angle? 7.3.5
ext
Tota
Answer:
x = 2.93
Step-by-step explanation:
The sum of angles of the triangle is 180degrees, hence;
9x - 72 + 73x + 11 = 180
82x - 61 = 180
82x = 180 + 61
82x = 241
Divide both sides by 82
82x/82 = 241/82
x = 2.93
Note that the functions might not be accurate but the same methos should be employed for any function given
please help me out, god bless you. dont answer with a link or just steal points plz, I really need help
Answer:
x = 12 radical 2 ithink these is ansewer