Answer:
An acute angle is an angle that has a measure that is less than 90 degrees. Any measure that is less than 90 degrees could be an acute angle. For example, 8°, 15°, °26°, and 89° are all acute angles. Anything that is 90 degrees is a right angle and greater than 90 degrees is an obtuse angle. An acute angle can have all of the following measures except 90 degrees or greater than 90 degrees.
Answer:
0 is not an acute angle
Step-by-step explanation:
if the measurement of an angle is between 0 and 90 degrees then we called it an acute angle. it means acute angle is greater than 0 and less than 90 degrees. among the the other options it is between 0 and 90 therefore 0 is not it
hope this helps
The factory quality control department discovers that the conditional probability of making a manufacturing mistake in its precision ball bearing production is 4\%4% on Tuesday, 4\%4% on Wednesday, 4\%4% on Thursday, 8\%8% on Monday, and 12\% on Friday.The Company manufactures an equal amount of ball bearings (20\ %) on each weekday. What is the probability that a defective ball bearing was manufactured on a Friday
Answer:
The probability that a defective ball bearing was manufactured on a Friday = 0.375
Step-by-step explanation:
Let the event of making a mistake = M
The event of making a precision ball bearing production on Monday = Mo
The event of making a precision ball bearing production on Tuesday = T
The event of making a precision ball bearing production on Wednesday = W
The event of making a precision ball bearing production on Thursday = Th
The event of making a precision ball bearing production on Friday = F
the conditional probability of making a manufacturing mistake in its precision ball bearing production is 4% on Tuesday, P(M|T) = 4% = 0.04
4% on Wednesday, P(M|W) = 0.04
4% on Thursday, P(M|Th) = 0.04
8% on Monday, P(M|Mo) = 0.08
and 12% on Friday = P(M|F) = 0.12
The Company manufactures an equal amount of ball bearings (20 %) on each weekday, Hence, the probability that a random precision ball bearing was made on a particular day of the week, is mostly the same for all the five working days.
P(Mo) = 0.20
P(T) = 0.20
P(W) = 0.20
P(Th) = 0.20
P(F) 0.20
The probability that a defective ball bearing was manufactured on a Friday = P(F|M)
P(F|M) = P(F n M) ÷ P(M)
P(F n M) = P(M n F)
P(M) = P(Mo n M) + P(T n M) + P(W n M) + P(Th n M) + P(F n M)
We can obtain each of these probabilities by using the expression for conditional probability.
P(Mo n M) = P(M|Mo) × P(Mo) = 0.08 × 0.20 = 0.016
P(T n M) = P(M|T) × P(T) = 0.04 × 0.20 = 0.008
P(W n M) = P(M|W) × P(W) = 0.04 × 0.20 = 0.008
P(Th n M) = P(M|Th) × P(Th) = 0.04 × 0.20 = 0.008
P(F n M) = P(M|F) × P(F) = 0.12 × 0.20 = 0.024
P(M) = P(Mo n M) + P(T n M) + P(W n M) + P(Th n M) + P(F n M)
P(M) = 0.016 + 0.008 + 0.008 + 0 008 + 0.024 = 0.064
P(F|M) = P(F n M) ÷ P(M)
P(F n M) = P(M n F) = 0.024
P(M) = 0.064
P(F|M) = P(F n M) ÷ P(M) = (0.024/0.064) = 0.375
Hope this Helps!
Eight men and eight women have six tickets in one row to the theater. In how many ways can they sit if the first person in the row is a woman and the people alternate woman, man, woman, man and so on?
Answer:
As there are six seats in a row and the first person in the row is a woman and the people alternate woman, men, the possibility is
W
M
W
M
W
M
in that order.
Now as we four women, three seats for women can be filled in
X
4
P
3
=
24
ways
and similarly as we four men, three seats for men can be filled in
X
4
P
3
=
24
ways
Hence, total
24
×
24
=
576
permutations.
Step-by-step explanation:
Please select the word from the list that best fits the definition
treinta y cinco
What is the difference when you subtract 8 from 5
Answer:
-3
Step-by-step explanation:
5-8
-3
Answer:
=-3
Step-by-step explanation:
we have to find the difference when 8 is subtracted from 5
difference=5-8
the digit after from will come first
=-3
i hope it will help you
The number of houses Habitat for Humanity can build varies directly with the number of volunteers. How many houses can be built with 60 volunteers?
Answer:
60y
where y is the number of houses each volunteer can build
Step-by-step explanation:
I'll assume this is a complete question and i'll try to solve it the best way i can mathematically.
Let us assume that one volunteer can build a certain number of houses, say y houses.
Also, it is stated that the amount of houses that can be built varies directly as the with the number of volunteers. Therefore, it will be mathematically logical to say that if 1 volunteer can build y number of houses, then 60 volunteers will build 60y houses
g(x) = -10x2+ 490
lesser x=
greater x =
Answer:
Greater x =+ 7
Lesser x = -7
Step-by-step explanation:
G(x) = -10x2+ 490
Let the left side = 0
So we have
0= -10x2+ 490
Solving the above now by allowing the variable with the coefficient of x cross the equal sign.
10x²= 490
Dividing by 10
X²= 490/10
X² = 49
Taking the root of both sides
X= √49
X = + 7or -7
Bigger x =+ 7
Smaller x = -7
Find the product of LCM and HCF of 3 and 15
Answer:
45
please see the attached picture for full solution
hope it helps
Good luck on your assignment
arjun has to stick by his budget. his salary is $112,000 after taxes. he divides his
salary in the following ratio, 3:4:5 for savings, bills and food respectively. calculate
his spending for the different items on his budget
(Geometry) PLZ HELP ASAP!
Answer: 133 m^2
Step-by-step explanation:
The area of the parallelogram is:
[tex]A = b\times h=9.5\times14=133 m^2[/tex]
How do i find the measure?
Answer: angle A = 72 and angle C = 72
Step-by-step explanation:
Angle A and C are opposites so they have to equal each other so do the equation 3y+27=5y-3. y would come out to be 15 and so to find the angles you would replace y with 15.
According to the National Center for Health Statistics, in 1990, 28 % of babies in the United States were born to parents who were not married. Throughout the 1990s, this increased by approximately 0.6 % per year. If this trend continues, in which year will 76 % of babies be born out of wedlock?
Answer:
76 % of babies will be born out of wedlock in the [tex]81^{st}[/tex] year
Step-by-step explanation:
Given: In 1990, 28 % of babies in the United States were born to parents who were not married. This increased by approximately 0.6 % per year.
To find: year when 76 % of babies born out of wedlock
Solution:
A sequence is said to be in arithmetic progression if the difference between the terms is same.
For a sequence with first term as 'a' and common difference as 'd', the nth term is given by [tex]a_n=a+(n-1)d[/tex]
The given situation also forms an arithmetic progression with [tex]a=28\,,\,d=0.6[/tex]
Also, put [tex]a_n=76[/tex]
So,
[tex]a_n=a+(n-1)d\\76=28+(n-1)(0.6)\\76-28=0.6(n-1)\\48=0.6(n-1)\\\frac{48}{0.6}=n-1\\\\80=n-1\\n=80+1\\n=81[/tex]
So, 76 % of babies will be born out of wedlock in the [tex]81^{st}[/tex] year
Nielsen Media Research provided the list of the 25 top-rated single shows in television history (The World Almanac, 2012). The following data show the television network that produced each of these 25 top-rated shows.
CBS CBS NBC FOX CBS CBS NBC NBC NBC ABC ABC NBC ABC ABC NBC CBS NBC CBS ABC NBC NBC CBS CBS ABC CBS
a. Construct a frequency distribution, a relative frequency distribution, and a percent frequency distribution for the data.
b. Which network or networks have done the best in terms of presenting top-rated television shows? Compare the performance of ABC, CBS, and NBC.
Answer:
a.
Network CBS NBC FOX ABC
f 9 9 1 6
Relative f 0.36 0.36 0.04 0.24
Percent f 36 36 4 24
b.
CBS and NBC have done best in presenting top-rated television shows.
The most top rated shows are from CBS and NBC while ABC network also has top rated shows but CBS and NBC percentages are higher.
Step-by-step explanation:
a.
Network f Relative f Percent f
CBS 9 0.36 36
NBC 9 0.36 36
FOX 1 0.04 4
ABC 6 0.24 24
"f" represents the frequency of network.
"Relative f" represents relative frequency of Network.
"Percent f" represents percent frequency of Network.
Frequency is computed by counting the number of times value repeated in the data. So, the frequency distribution is
Network Frequency
CBS 9
NBC 9
FOX 1
ABC 6
Relative frequency is computed by dividing the frequency to the sum of frequencies.
sum of frequencies=9+9+1+6=25.
So, the relative frequency distribution is
Network Relative frequency
CBS 9/25=0.36
NBC 9/25=0.36
FOX 1/25=0.04
ABC 6/25=0.24
Percent frequency is computed by multiplying relative frequencies to 100.
So, the Percent frequency distribution is
Network Percent frequency
CBS 0.36*100=36
NBC 0.36*100=36
FOX 0.04*100=4
ABC 0.24*100=24
b.
From frequencies, relative frequencies and percent frequencies we can see the CBS and NBC have equally higher cont of top rated shows comparative to ABC and FOX. ABC has second highest top rated shows while Fox has least top rated shows among other networks.
Given a+b=7 and a–b=3, find: 2a·2b
if (x+yi)+2(3x-y)+4i-0;then the value of x and y is
Answer:
X=0 and Y= 4(2i-1)/5
Step-by-step explanation:
Here is my solution, assuming that the equation equals 0. For y, just remember the definition of complex numbers and multiply by its conjugate.
The value of x and y are -8/7 and -4 respectively if (x + yi) + 2(3x - y) + 4i = 0.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number:
(x + yi) + 2(3x - y) + 4i = 0
After arranging:
x + yi + 6x - 2y + 4i = 0
7x - 2y + yi + 4i = 0
7x - 2y + (y + 4)i = 0
7x - 2y = 0
y + 4 = 0
This is the linear equation in two variables:
Plug y = -4 in the other equation:
7x - 2(-4) = 0
7x = -8
x = -8/7
y = -4
Thus, the value of x and y are -8/7 and -4 respectively if (x + yi) + 2(3x - y) + 4i = 0.
Learn more about the complex number here:
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Please answer this correctly
Answer:
18
Step-by-step explanation:
Do 72 divided by 4 because it is a square so all sides are equal
Hiya! ✌.ʕʘ‿ʘʔ.✌
Okay, so with a square, ALL sides are EQUAL.
To find the perimeter of a shape, you just need to add the measure of all sides together.
What you can do, is since all sides are equal, and a square has four sides, just get the measure of ONE side and multiply that by 4! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
The perimeter is 72 meters and if we find the value of u, we get the value of all sides.
Let's set this up as an equation:
P = 4u where P = perimeter and u = measure of one side
Let's insert the given value (72) into the equation for perimeter
72 = 4u
Now we have to solve for u, and to do that, we have to get it by itself on that side of the equation. u is being multiplied by 4, so do the opposite by dividing both sides of the equation by 4!
72/4=18
4u/4=u
Now our equation looks like this:
18 = u
So the value of u is 18! (✿◠‿◠)
To prove it, insert it into the formula... P = 4(18)... P = 72.
Boom! :D
Have a lovely day~ ≧◡≦
Jane can paint the office by herself in 7 hours. Working with an associate, she can paint the office in 3 hours. How long would it take her associate to do it working alone?
Answer:
Step-by-step explanation:i really am lost,
The work rate for the associate is 5.3 hours.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given; Jane can paint the office by herself in 7 hours.
with an associate, she can paint the office in 3 hours.
The combined work rate is 3 hours per office.
WE need to find the work rate for the associate
Let the expression for the work rate be;
1/A+1/B= 1/T
1/7+1/B=1/3
1/B=1/3-1/7
1/B= 8-4/21
1/B= 4/21
B= 21/4
B=5.3 hours
Therefore, the work rate for the associate is 5.3 hours.
Learn more about equations here;
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An ice-cream shop uses the following ingredients to make one sundae.
Ingredients. Amount
Ice-cream- 2 scoops
Sprinkles- 4 spoonful's
Whipped Cream- 2 tablespoons
72 sundaes are needed to meet customer demand. Calculate the ratio of ingredients needed to meet his demand.
The times required for a delivery firm to transport a package from one business address to another in the same metropolitan area is normally distributed with a mean of 3.8 hours and a standard deviation of 0.8 hours. Suppose the delivery firm wants to determine the time by which 55% of all deliveries would be made. Which of the following density function diagrams best depicts this problem.
What is the probability a single delivery would take more than 4 hours? What is the z value corresponding to the interval boundary?
Answer:
Step-by-step explanation:
Since; the density function diagrams were not included in the question; we will be unable to determine the best which depicts this problem.
However;
Let use X to represent the time required for the delivery.
Then X~N(3.8 ,0.8)
i.e
E(x) = 3.8
s.d(x) = 0.8
NOW; P(x>4) = P(X-3.8/0.8 > 4-3.8/0.8)
= P(Z > 0.25)
= 1-P(Z < 0.25)
=1 - Φ (0.25)
= 1 - 0.5987 ( from Normal table Φ (0.25) = 0.5987 )
= 0.4013
Thus; the probability a single delivery would take more than 4 hours is 0.4013
What is the z value corresponding to the interval boundary?
The z value is calculated as:
[tex]z = \dfrac{X- \mu}{\sigma}[/tex]
[tex]z = \dfrac{4- 3.8}{0.8}[/tex]
z = 0.25
2 Points
This graph shows the solutions to the inequalities y> 3x+6 and y<3x - 7
Does the system of inequalities have solutions? If so, which region contains
the solutions?
A
B
С
O A. There are no solutions
B. There are solutions, and they are the points in region C.
O C. There are solutions, and they are the points in region A.
O D. There are solutions, and they are the points in region B.
Answer:
Option (A)
Step-by-step explanation:
Two inequalities have been given as,
y > 3x + 6 --------(1)
y < 3x - 7 ------(2)
Inequality (1) shows the solution area shaded in blue, means all the solutions for the inequality will lie in the blue area.
Similarly, solutions of inequality (2) will lie in red area.
No common area for the inequalities.
Therefore, system of inequalities will have no solution.
Option (A) will be the answer.
Please answer this correctly
Answer:
m = 3
Step-by-step explanation:
Assuming these shapes are similar, you can set up a proportion:
[tex]\frac{8}{12} =\frac{2}{m}[/tex]
→Cross multiply:
[tex]\frac{8m}{24}[/tex]
→Divide 24 by 8:
m = 3
What’s the correct answer for this question?
Answer:
A.
Step-by-step explanation:
Since VA and BC are equal in length so their central angles would also be equal.
So
<VWA = <BWC
32x-27 = 120
32x = 120+27
32x = 147
Dividing both sides by 32
x ≈ 4.6
Answer:
4.6
Step-by-step explanation:
3x-27=120
32x=147
x=147/32
x=4.59
x≈4.6
Create an expression that fits all of the following conditions: There are exactly four terms. Exactly two of the terms are like terms. At least one term is an integer. Simplify the expression that you created.
Answer:
The expression created is: [tex]3x^2+3x+8x-7[/tex]
Simplified, we obtain : [tex]3x^2+11x-7[/tex]
Step-by-step explanation:
We are to create an expression that satisfies the following conditions
There are exactly four terms. Exactly two of the terms are like terms. At least one term is an integer.Let the two like terms be 3x and 8x
Let the integer term = -7
Let the other term [tex]=3x^2[/tex]
Our written expression is therefore:
[tex]3x^2+3x+8x-7[/tex]
We simplify the expression by solving the like terms for a single term
[tex]3x+8x=11x\\$Therefore\\3x^2+3x+8x-7=3x^2+11x-7[/tex]
A certain type of tree has seedlings randomly dispersed in a large area, with the mean density of seedlings being approximately five per square metre. If a forester randomly locates ten 1-square-metre sampling regions in the area, find the probability that none of the regions will contain seedlings.
Answer:
Step-by-step explanation:
The probability that the forester does not get the seedlings is 1/2 if the mean density of seedlings is 5 per square metre.
What is density?Density means the area within which a substance is collected or taken.
How to calculate the probability?We have been given the mean density =5 square metre.
And we have to calculate the probability that the forester will not get any seedlings.
So the probability that he will get the seedlings will be=5/10
which is 1/2
So the probability that he will not get the seedlings will be 1-1/2
that is 1/2.
Hence the probability that he will not get seedlings will be 1/2.
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What is the distance between ( 25, -3) and (1, -3)?
_3.5 units
units
11
o 15 units
units
Save and Exit
Next
SU
Mark this and return
Answer:
D = 24 units
Step-by-step explanation:
Using Distance Formula
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(1-25)^2+(-3+3)^2}[/tex]
D = [tex]\sqrt{(-24)^2+(0)^2}[/tex]
D = [tex]\sqrt{576}[/tex]
D = 24 units
Which one of these statistics is unaffected by outliers?Mean Interquartile range Standard deviation Range
Answer:
Since Interquartile Range consider the middle values in the data set, i.e. 50%, it is not affected by outliers or extreme values. While other statistics mean, standard deviation and range are all affected by outliers or extreme values.
Step-by-step explanation:
hope this helps you :) can you help me please northc04 :(
Answer:
The answer is Interquartile Range. I know this is the right answer is because I got it right on a quiz.
Find the volume of a rectangular prism if the length is 2x, the width 4x^2, and the height is 2x^2+x+7
Answer:
V=16x^5+8x^4+56x^3.
Step-by-step explanation:
The volume of the rectangular prism is V=16x^5+8x^4+56x^3.
Formula for rectangle prism: V=whl
Formula: L*W*H
Answer: V=16x^5+8x^4+56x^3
Hope this helps.
An urn contains 9 red marbles, 9 white marbles and 8 blue marbles. A child randomly selects three (without replacement).
what is the probability that all have the same color?
Answer:
8.62% probability that all have the same color
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the marbles are selected is not important. So we use the combinations formula to solve this question.
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]
What is the probability that all have the same color?
Desired outcomes:
Either all red(from a set of 9), all white(from a set of 9) or all blue(from a set of 8). So
[tex]D = C_{9,3} + C_{9,3} + C_{8,3} = \frac{9!}{3!6!} + \frac{9!}{3!6!} + \frac{8!}{3!5!} = 224[/tex]
Total outcomes:
3 marbles, from a set of 9 + 9 + 8 = 26. So
[tex]T = C_{26,3} = \frac{26!}{3!23!} = 2600[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{224}{2600} = 0.0862[/tex]
8.62% probability that all have the same color
The Fortune 500 is comprised of Fortune magazine's annual list of the finite population of the top 500 companies in the U.S. ranked by revenues. According to Catalyst, 16% of positions on corporate boards at Fortune 500 companies were held by women in 2018. A random sample of 100 Fortune 500 companies was selected. The standard error of the proportion is ________.
Answer:
The standard error of the proportion is 0.0367.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the standard error is [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
[tex]p = 0.16, n = 100[/tex]
So
[tex]s = \sqrt{\frac{0.16*0.84}{100}} = 0.0367[/tex]
The standard error of the proportion is 0.0367.
When AE = 7, EC= 14, CB= 24, what is ED?
Answer:
ED = 8
Step-by-step explanation:
AC = 21 which means AE is 1/3 of the length of AC.
So, ED must also be 1/3 of the length of BC.
1/3 x 24 = 8
60 is whatpercent of 40
Answer:
24
Step-by-step explanation:
Y is 60% of 40
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 60% * 40
Converting percent to decimal:
p = 60%/100 = 0.6
Y = 0.6 * 40
Y = 24
