Answer:
The mean absolute deviation is 2.25. Hope this helps
Step-by-step explanation:
2+4+6+9 divided by 4=5.25
5.25-2=3.25
5.25-4=1.25
6-5.25=0.75
9-5.25=3.75
3.25+1.25+0.75+3.75=9 divided by 4=2.25
The circle graph shows the results of a survey about favorite hobbies. A total of 1,000 people
were surveyed.
Favorite Hobbies
8%
Scrapbooking
24%
Playing Sports
16%
Collecting
22%
Cooking
12%
Reading
18%
Traveling
a. How many selected traveling as their favorite hobby?
Answer:
180 people
Step-by-step explanation:
Total of people surveyed = 1,000
% of people that selected travelling as their favorite hobby = 18 %
Number of people that selected travelling = % that selected travelling of 1,000
= 18% of 1,000
= 18/100 × 1,000
= 180 people
Therefore, 180 people selected travelling as their favorite hobby.
In the year 2003, a person bought a new car for $18500. For each consecutive year after that, the value of the car depreciated by 12%. How much would the car be worth in the year 2005, to the nearest hundred dollars?
Answer:
Step-by-step explanation:
t is the number of years since 2003.
f(t) = $18,500×0.88^t
t = 2 in 2005
f(2) = $18,500×0.88²≅ $14,300
Answer:
$14300.00
Step-by-step explanation:
100 - 12 = 88%
88% = 0.88
$18500 x 0.88² = $14326.40
To the nearest hundread:
$14326.40 = $14300.00
0.88² means to the power of 2 since it is 2 consecutive years I did to the power of 2. If it was 3 consecutive years then you do 0.88³.
Hope this helps!
Find the measurement indicated. Round to the nearest tenth.
9514 1404 393
Answer:
22.015.030.0°137.0°Step-by-step explanation:
These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...
c² = a² +b² -2ab·cos(C)
The square root of this gives the side length:
c = √(a² +b² -2ab·cos(C))
Rearranging the equation, we can obtain an expression for the angle C.
C = arccos((a² +b² -c²)/(2ab))
These two formulas are used to solve the offered problems.
__
1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506
AC ≈ 22.0
__
2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249
BC ≈ 15.0
__
3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)
∠B ≈ 30.0°
__
4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)
∠B ≈ 137.0°
The possible number of solutions obtained for quadratic equations is
A) 2
B) None of these
C) 4
D) 3
Answer:
A
Step-by-step explanation:
I don't know to explain it so this is by khan academy
If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution.
When two 6-sided dice are rolled, there are 36 possible outcomes. Find the probability that the sum is 8
Answer:
5/36
Step-by-step explanation:
Probability is the outcome that a event will occur
Probability = Expected outcome/Total outcome
Since two sided dice are rolled, the total outcome will be expressed as;
Total outcome = 36
Since we are to find the probability that the sum is 8, the values that gives a sum of 8a re;
(2,6)(6,2), (5, 3), (3,5), (4, 4)
The expected outcome = 5
Probability = 5/36
Hence the probability that the sum is 8 is 5/36
1. Determine the three-dimensional figure that will be created using the following nets.
Answer:
triangular pyramid
Step-by-step explanation:
Answer:
triangular pyramid
cone
Step-by-step explanation:
Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2
PLEASE HELPPPPPP ASAPPP
I WILL GIVE BRAINLEST FOR THE CORRECT ANSWER
Answer:
a. Find the multiples of 4 and 12 in the 30 to 40 range:
4 ⇒ 32, 36, 40
12 ⇒ 36
Answer = 36
b. Divisors of 24 ⇒ 2, 3, 4, 6, 8, 12, 24
Answer = 3
3 is the only odd divisor.
c. Gcd = Greatest common divisor that isn't zero.
35 divisors ⇒ 1, 5, 7, 35
42 divisors ⇒ 1, 2, 3, 6, 7, 14, 21, 42
Answer = 7
d. 98 divisors ⇒ 1,2,7,14,49,98
99 divisors ⇒ 1,3,9,11,33,99
Answer = 1
e. Answer = 25.
A number's greatest divisor is its own self.
Use GCF and the distributive property to write equivalent
expressions.
A) 6x + 9y
B)3c +11c
Answer:
Step-by-step explanation:
Greatest common factor of 6x and 9y is 3.
6x + 9y = 3(2x + 3y)
:::::
Greatest common factor of 3c and 11c is c.
3c + 11c = (3+11)c
Anna charges $8.50 per hour to babysit . How much will earn if she works for 31/2 hours?
Answer:
$29.75
Step-by-step explanation:
$8.50 for 1 hour
So for 3 hours, it will be 8.50 + 8.50 + 8.50 equaling to 25.50
So far the total is $25.50 for 3 hours ONLY!
Now, for half of an hour it will be half of a price, making 8.50 into 4.25
Finally, add $25.50 + $4.25 giving you the totality of $29.75 as the final pay after working for 3 1/2 hours
Please help me
This is analytic geometry
Answer:
The coordinates of point B are (-3,-3).
Step-by-step explanation:
Let [tex]A(x,y) = (6,-6)[/tex], [tex]C(x,y) = (-6,-2)[/tex] and [tex]\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}[/tex], then we have the following formula by vectorial definition of a line segment:
[tex]\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}[/tex]
[tex]B(x,y) -A(x,y) = \frac{3}{4}\cdot [C(x,y)-A(x,y)][/tex]
[tex]B(x,y) = \frac{3}{4}\cdot C(x,y) +\frac{1}{4}\cdot A(x,y)[/tex]
[tex]B(x,y) = \frac{3}{4}\cdot (-6,-2)+\frac{1}{4}\cdot (6,-6)[/tex]
[tex]B(x,y) = (-3, -3)[/tex]
One angle of a right triangle measures 75º. What is the measure of the other acute angle?
In a different game, the probability of correctly guessing which of 5 boxes contains a tennis ball is 1/5. About how many winners would be expected if 60 contestants play the game?
Answer:
12
Step-by-step explanation:
Solve the following percentage problem 85%of 40
Answer:34
85% of 40 = 34
Step-by-step explanation:85 percent of 40? = 34.
Answer:
34
Step-by-step explanation:
What is the volume of the figure?
Answer:
12.57
Step-by-step explanation:
same as last time you know
Help help help help help help
Step-by-step explanation:
Area of triangle = 1/2×base×height
= 1/2×32×18
= 288in²
A company sells meal kits. Suppose that 70% of the first-time customers who order a vegetarian meal will order
again, while 65% of the first-time customers who order a gluten-free meal will order again. The company takes
separate random samples of 50 first-time customers who order each kind of meal. The company will then look at
the difference (vegetarian – gluten free) between the proportions of customers who order again in each
sample.
What will be the shape of the sampling distribution of the difference in sample proportions, and why?
Answer: A
Approximately normal, because we expect 35 successes and 15 failures from vegetarian orders, and 32.5 and 17.5 from gluten-free orders, and all of these counts are at least 10
Step-by-step explanation: Khan Answer
For vegetarian orders 70% order again, so with a sample size of 50 we will have an estimated 35 people order again: [tex].7*50=35,50-35=15[/tex] This results in 35 successes and 15 failures. For gluten-free orders 65% order again, so with a sample size of 50 we will have an estimated 32.5 people order again:[tex].65*50=32.5,50-32.5=17.5[/tex] This results in 32.5 successes and 15 failures. Because these are all greater than 10, we can assume normality.
Answer:
Approximately normal, because we expect 35 successes and 15 failures from vegetarian orders, and 32.5 and 17.5 from gluten-free orders, and all of these counts are at least 10
Step-by-step explanation:
help, can you tell if im right?
Answer:
Yes, all of your answers are 100% correct
Step-by-step explanation:
You correctly set the values equal to the numerator or denominator (minutes = minutes) and any value will equal the same value.
Find the value of x.
B
10-X
3
D
E
х
2.
A
c
x = [?]
Answer:
The answer would be 4
Step-by-step explanation:
2/3=x/10-x
(cross multiply)
2(10-x)=3x
20-2x=3x
20=5x
(divide by 5)
x=4 (That would be the answer You welcome.)
Fill in the blank 4
For the given triangle the value of x = 4.
In the given figure,
The triangles, ABC and DBE are similar
Since we know that,
Triangles that are similar to one another in shape but differ in size are known as similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
Therefore, we have the proportionality,
EC/BE = AD/DB
⇒ 2/3=x/10-x
After cross multiplying
⇒ 2(10-x)=3x
⇒ 20-2x=3x
⇒ 20=5x
Divide both sides by 5, and we get,
⇒ x = 4
Hence,
The value of x = 4.
To learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
A 30%tip on a $50 haircut.
Answer:
$15
Step-by-step explanation:
the picture has the question
please help me i will give a brainliest
Answer:
(-3,2)
Step-by-step explanation:
you go to the left by 3 (negative), then you went up by 2 (positive). You always do x (horizontal) before y (vertical).
:)
The quadratic function h is shown on the graph. If the graph is h(x) = (3/5 ) (x – d)(x + 6), what is the value of d?
Answers ↓
(A) -14
(B) 14
(C) -60
(D) 42/5
9514 1404 393
Answer:
(B) 14
Step-by-step explanation:
"d" is a value that makes the function be zero. The x-intercepts (zeros) of the function are at x=-6 and x=14, corresponding to factors (x +6) and (x -14). The (x+6) factor is already given in the equation, so we must conclude d=14.
What is the answer please help no links no links
If a bakery produces 1,215 cupcakes during a 9 hour shift, what is the production rate of cupcakes per hour?
Answer:
135
Step-by-step explanation:
Answer:
135 cupcakes
Step-by-step explanation:
You would do 1,215 divided by 9 to get your answer. So the answer would be 135 cupcakes.
Mischa wrote the quadratic equation 0=-x^2+4x-7 in standard form. If a = -1, what is the value of c in her equation?
Ac=-7 (correct answer on edg)
B.c=-1
C.c=4
D.c=7
What statement best describes a trapezoid? *
1 point
a. All sides are equal and opposite sides are parallel
b. Exactly one pair of parallel lines
c. Has 2 sets of parallel lines and four 90 degree angles
d. Has 2 equal sides and 3 acute angles
Answer:b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
because it has two parallel side and and other are just lines but being quadrilateral its sum is 360
My friends and I go to the cinema by bus.
We spend 10 minutes walking and 15
minutes waiting at the bus stops, the
Journeys take 20 minutes each way
we arrive as the film starts. There are
25 minutes of adverts and trailers,
and the film lasts for 95 minutes
We get home at 17:20
What time did we set off to
the car
Answer:
15:35??
Step-by-step explanation:
1. 20 + 15 = 35
2. 35 + 10= 45
3. 45 + 25 = 70 = 1 hour and 10 minutes
4. 95 mins = 1 hour and 45 minutes
5. 1 hour and 10 mins + 1 hour and 45 minutes = 2 hours and 55 minutes
6. 17:20
- 02:55
15:35
15:35
i don't know if this is right but it it does, your welcome.
Experts believe the rate of obesity (defined as having a BMI greater than 30) of adults in the United States is approximately 24.5%. A Gallup poll examined the rate of obesity in adults in the United States with a survey of 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese. The shape of the sampling distribution for the sample proportion when taking samples of size 86,664 from this population follows a ____________ distribution.
Answer:
Normal distribution.
Step-by-step explanation:
Central Limit Theorem
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 sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
Samples larger than 30, which means that the sampling distribution for the sample proportion follows a normal distribution.
An aircraft seam requires 29 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 23% of all seams need reworking, what is the probability that a rivet is defective
Answer:
0.9995 = 99.95% probability that a rivet is defective
Step-by-step explanation:
For each rivet, there is only two possible outcomes. Either they are defective, or they are not. Rivets are defective independently of one another, each with the same probability, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
An aircraft seam requires 29 rivets.
This means that [tex]n = 29[/tex]
23% of all seams need reworking
This means that [tex]p = 0.23[/tex]
What is the probability that a rivet is defective?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{29,0}.(0.23)^{0}.(0.77)^{29} = 0.0005[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0005 = 0.9995[/tex]
0.9995 = 99.95% probability that a rivet is defective
