Answers
Answer:
B could be used to show the formula to describe the sentence
Related Questions
A town recently dismissed 10 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of age and 18 under 50. If the dismissed employees were selected at random, what is the probability that exactly 5 employees were over 50
Answers
Answer:
0.055 = 5.5% probability that exactly 5 employees were over 50.
Step-by-step explanation:
The employees are dismissed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Total of 7 + 18 = 25 employees, which means that [tex]N = 25[/tex]
7 over 50, which means that [tex]k = 7[/tex]
10 were dismissed, which means that [tex]n = 10[/tex]
What is the probability that exactly 5 employees were over 50?
This is P(X = 5). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055[/tex]
0.055 = 5.5% probability that exactly 5 employees were over 50.
Martha ran a 3-mile race in 24 minutes. how long does it take her to run 1 mile?
Answers
Answer:
8 minuets
Step-by-step explanation:
24min/3miles = 8
Answer:
8 minutes.
Step-by-step explanation:
If we divide 24 minutes by 3 miles, your answer will be 8 minutes.
What is the solution to the equation x^2 + 10x + 75 = 0?
Answers
Hope this helps!!!!!
16. write an inequality for each graph
a.....
b.....
17. Graph each inequality on a number line.
a.....
b....
Answers
Answer:
Question 16
(a) x < 1 : the values of x are smaller than than 1 (e.g. possible values are 0, -1, -2, etc) and since the circle is not shaded it means that 1 isn't a possible value of x
(b) x [tex]\geq[/tex] -2 : the circle is filled therefore -2 is included in the answer
Question 17
(a) unfilled dot above -2 and arrow pointing to the left
(b) shaded circle above 4 with and arrow pointing to the right →
What is the index of the radical below?
√10
A. 5
B. 9
C. 2
D. 10
Answers
Find the interest on the loan using the Banker's rule. P= $8550. r=8.8%, t= 105 days The interest on the loan using the Banker's rule is $
Answers
Find the Perimeter of the figure below, in inches
Answers
Answer:
117.8 in.
Step-by-step explanation:
To find the perimeter, add all the side lengths together. If we do that, we get 117.8 in, which is the answer.
Ming rented a bike from Ted's Bikes. It cost $13 plus $3 per hour. If Ming paid $31,
then he rented the bike for how many hours?
A)7.
B)10.3333
C)6
D)10
Answers
Answer:
C, 6
Step-by-step explanation:
31-13 is 18, 18/3 is 6.
Answer:
6
Step-by-step explanation:
31-13= 18
18÷3 = 6
Answer from Gauthmath
Which expression represents the total volume of the pictures shown if each cube has a side length of e?
Answers
Answer: I believe that you have to do e^3 to find the volume of a cube.
If you had the side, you would do a^3 (a stands for the side length)
The angles in a triangle are represented by x, x+10, and x+50. What is the measure of the largest angle?
A.70 degrees
B.80 degrees
C.100 degrees
D.90 degrees
Answers
Answer:
90
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
x+x+10 +x+50 = 180
3x+60= 180
3x = 180-60
3x = 120
Divide by 3
3x/3 = 120/3
x = 40
The largest angle is
x+50
40+50 = 90
We have to,
find the measure of the largest angle.
Given that,
The angles in a triangle are represented by x, x+10, and x+50.
Let's start to solve,
→ x+ (x+10) + (x+50) = 180°
→ x + x + x = 180° (-50-10)
→ 3x = 180° -60
→ 3x = 120
→ x = 120/3
→ [x = 40°]
Then the value of x + 10,
→ x + 10
→ 40 + 10
→ 50°
Then the value of x + 50,
→ x + 50
→ 40 + 50
→ 90°
The measure of the largest angle is,
→ D. 90 degrees
Thus, option (D) is the correct answer.
Which equation represents the parabola with focus (8, 4) and vertex (8, 2)
Answers
Answer:
Step-by-step explanation:
The focus lies above the vertex, so the parabola opens upwards.
The diameter of the circle is 2”. What is the area of the circle
Answers
Answer:
[tex]\pi[/tex]
Step-by-step explanation:
1. 2/2 =1 1 is the radius
2. [tex]A = \pi r^2[/tex]
3. [tex]A=\pi 1^2[/tex]
4. [tex]A=\pi[/tex]
Find the equation of line b in slope-intercept form. Line a is parallel to line b. Line a passes through the points (1,8) and (2,-1), line b passes through the point (4,13)
Answers
9514 1404 393
Answer:
y = -9x +49
Step-by-step explanation:
The slope of line b is the same as the slope of line a. That can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-1 -8)/(2 -1) = -9
The y-intercept can be found from the given point using the formula ...
b = y - mx
b = 13 -(-9)(4) = 13 +36 = 49
Then the slope-intercept equation of line b is ...
y = -9x +49
If f(x) = x
2−3x+1
x−1
find f(-1) and f(-3)
Answers
Answer:
f(-1) = 2-3(-1) +1
= 7
f(-3)= 2-3(-3)+1
= 12
f(-1) = -1-1
= -2
f(-3) = -3-1
= -4
PLEASE HELP AND BE CORRECT BEFORE ANSWERING PLEASE AND THANK YOU
Answers
9514 1404 393
Answer:
6 units
Step-by-step explanation:
The dilation factor is 2, so the length of A'B' will be 2 times the length of AB.
AB can be seen to be 3 units, so A'B' will be 2×3 = 6 units.
20 points Surd question Work out the area of the triangle. ABC
Answers
Answer:
sqrt( 150)
Step-by-step explanation:
it can also be 5sqrt(6)
The solution is, the area of the triangle. ABC is 10 cm^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
from the given diagram, we get,
we have to find the area of the triangle. ABC
now, we have,
using the Pythagorean theorem, we get,
BD = √AB² - AD²
=√50 - 45
=√5
now, we know that,
area of triangle = 1/2 * base * height
= 1/2 * √5 * 4√5
= 10
Hence, The solution is, the area of the triangle. ABC is 10 cm^2.
To learn more on Area click:
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I WILL AWARD BRAINLIEST PLEASE HELP!!!
All the students in an English class complete a 25-point extra-credit assignment to raise their test scores. The new test score is 25 points more than the original score. Let x = original score Let y = new score Which equation represents this situation? A. y = 25x B. y = x – 25 C. y = x ÷ 25 D. y = x + 25
Answers
a plane can fly 450 miles in the same time it takes a car to go 150 miles. if the car travels 100 mph slower than the plane, find the speed (in mph) of the plane
Answers
Answer:
The speed of the plane is 150 miles per hour, while the speed of the car is 50 miles per hour.
Step-by-step explanation:
Since a plane can fly 450 miles in the same time it takes a car to go 150 miles, if the car travels 100 mph slower than the plane, to find the speed (in mph) of the plane the following calculation must be performed:
450 to 150 is equal to 3: 1, that is, the plane travels three times the distance of the car.
Therefore, since 100/2 x 3 equals 150, the speed of the plane is 150 miles per hour, while the speed of the car is 50 miles per hour.
what's a divisor a dividend and a quotient
Answers
Find the intersection of the parabola y=-2x^2-4x+2 and the line -6x+y=14
Answers
Answer:
(-2,2) and (-3,-4)
Step-by-step explanation:
by graphing the line and parabola, you should get this graph
A ladder leans against the side of the a house. The ladder is 19 feet long and forms an angle of elevation of 75 degree when leaned against the house. How far away from the house is the ladder? Round your answer to the nearest tenth.
Answers
=============================================================
Explanation:
Focus entirely on the triangle on the right side. The other parts of the drawing are not necessary. In my opinion, they are distracting filler.
Refer to the diagram below.
We have an unknown adjacent side, let's call it x, that's along the horizontal part of the triangle.
The hypotenuse however is known and it is 19 ft
We use the cosine ratio to tie the two sides together
cos(angle) = adjacent/hypotenuse
cos(75) = x/19
19*cos(75) = x
x = 19*cos(75)
x = 4.9175618569479 which is approximate
x = 4.9
The base of the ladder is roughly 4.9 feet away from the base of the house.
Side note: make sure your calculator is in degree mode.
Find mBFE, help ASAP!!!
Answers
Answer: C
<BFE is 148 degrees
Step-by-step explanation:
We have angles <BFC (57 degrees) and <CFD (34 degrees), but what is <DFE?
1. The angle symbol in the vertexes shows that <BFC is congruent to <DFE, meaning that they are the same
2. Knowing this, we can safely say that <DFE is equal to 57 degrees because <BFC is also 57 degrees.
3. Now, we have all the angles we need to find out <BFE.
4. <BFC+<CFD+<DFE=<BFE
5. Substitute to get
57+34+57=<BFE
91+57=<BFE
148=<BFE
6. Now we know that the answer is 148 degrees.
What is the value of x?
Answers
Answer:
Step-by-step explanation:
(2x - 5)° + 45° = 180°
2x - 5 + 45 = 180
x = 70
a.
What is 46.7% of
4/5?
Answers
Answer:
0.3736
Step-by-step explanation:
46.7 percent of [tex]\frac{4}{5}[/tex] is 0.3736.
What is the percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct," "pct," and occasionally "pc" are also used, the percent sign, " percent ", is frequently used to signify it. A % is a number without dimensions and without a standard measurement.What is a fraction?A number is stated as a quotient in mathematics when the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.Solution -To find 46.7% of [tex]\frac{4}{5}[/tex].
So,
[tex]\frac{46.7}{100}[/tex] × [tex]\frac{4}{5}[/tex]
[tex]\frac{0.467}{100}[/tex] × [tex]\frac{4}{5}[/tex]
⇒ [tex]0.3736[/tex]
Therefore, 46.7% of [tex]\frac{4}{5}[/tex] is 0.3736.
Know more about percentages here:
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Peter, Jan, and Maxim are classmates. Their total score for the last test was 269. Peter's score was more than the sum of Jan's and Maxim's scores. What could be Peter's least possible score?
Answers
Answer:
135
Step-by-step explanation:
Given that :
Total score obtained by Peter, Jan and Maxim = 269
Let :
Peter's score = x
Jan's score = y
Maxim's score = z
x + y + z = 269
x > (y + z)
For x to be greater Than y + z ;
Then x > (269 / 2) ; x > 134.5
The least possible x score is 135
Hence, Peter's least possible score is 135.
❤✔
PLEASE HELP ME MAKE SURE YOUR ANSWER IS RIGHT BEFORE ANSWERING
Answers
Answer:
Always. Always.
Step-by-step explanation:
All circles conform to the same equations such as using pie to calculate circumference. Unlike a rectangle, for example, all ratios used in a circle are the same.
Riley wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 4.5% and the other bank is offering a rate of 4.5% compounded annually. Which is the better deal?
Answers
let's assume he puts 10,000 in each account, and he is saving for 10 years.
the account that gives him simple interest will give him .045 * 10,000 * 10 = 4500 in interest, which gives him a total of 14,500 at the end of 10 years.
the account that gives him annual compound interest will give him 10,000 * 1.045 ^ 10 = 15,529.69422 at the end of the 10 years.
the difference is that he is earning interest on his interest in the annual compound account, while he is only earning interest on his principal in the simple interest account.
Hope this helps. Good luck !!
In this problem, y = 1/(1 + c1e−x) is a one-parameter family of solutions of the first-order DE y' = y − y2. Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. y(0)=-1/3
Answers
If y (0) = -1/3, then
-1/3 = 1 / (1 + C e ⁻⁰)
Solve for C :
-1/3 = 1 / (1 + C )
-3 = 1 + C
C = -4
So the particular solution to the DE that satisfies the given initial condition is
[tex]\boxed{y=\dfrac1{1-4e^{-x}}}[/tex]
Determine if the sequence below is arithmetic or
geometric and determine the common difference / ratio in
simplest form.
3, 8, 13, ..
(PLEASE HELPP)
Answers
9514 1404 393
Answer:
arithmetic; common difference of 5
Step-by-step explanation:
It usually works well to check differences first. Here, they are ...
8 -3 = 5
13 -8 = 5
These are the same value, so the sequence is arithmetic with a common difference of 5.
In the HANES5 sample, the average height of the boys was 137 cm at age 9 and 151 cm at age 11. At age 11, the average height of all the children was 151 cm.
a. On the average, are boys taller than girls at age 11?
b. Guess the average height of the 10-year-old boys.
Answers
Answer:
a) Average age of girls is also 151.
b) [tex]h_{10}=144cm[/tex]
Step-by-step explanation:
From the question we are told that:
Average height of the boys at age [tex]h_9= 137 cm[/tex]
Average height of the boys at age [tex]h_11= 151 cm[/tex]
a)
Since
The average height of all the children was 151 cm.
This implies that The average height of all children is 151
Therefore
Average age of girls is also 151.
b)
Assuming all factors being equal
Height of 10 year old boy
[tex]h_{10}=\frac{h_9+h_11}{2}[/tex]
[tex]h_{10}=\frac{137+151}{2}[/tex]
[tex]h_{10}=144cm[/tex]
Therefore my Guess is
[tex]h_{10}=144cm[/tex]
