Answer:
Option C. between 6 and 18 hours per week
Step-by-step explanation:
We are given that distribution of times is symmetric and mound shaped and this implies that data is normally distributed.
We also know that in the normal distribution the 95% of data lies within 2 standard deviations i.e. mean± 2*standard deviation.
So, 95% of the television viewing times falls in interval
mean± 2*standard deviation
12±2*3
12±6
[6,18]
Thus, [6,18] is an interval where you believe approximately 95% of the television viewing times fell in the distribution.
Find the value of cos theta for the angle shown.
Answer:
Step-by-step explanation:
X = 4,0
hypotenuse = sqrt(4^2 + (-sqrt(33))^2 )
hypotenuse = sqrt(16 + 33)
hypotenuse = sqrt(49)
hypotenuse = 7
Cos(theta) = 4/ 7
The cos looks like it should be negative, but it is positive in quad 4.
One of the angle measures of a right triangle is 36°. Which of the following is the measure of one of the other two angles of the triangle?
Answer:
54
Step-by-step explanation:
90°-36°=54°
Or
x+36+90=180°
x=180-126
x=54
Hope that helped! :)
How do you do this question?
Answer:
None of the above
Step-by-step explanation:
According to the divergence test, if the limit of a sequence as n approaches infinity does not equal 0, then the series diverges. (Notice that if the limit does equal 0, the series doesn't necessarily converge).
According to the geometric series test, a geometric series converges if -1 < r < 1, and diverges otherwise.
The first series is a geometric series with r = -5/3. So it diverges.
The second series is also a geometric series:
3ⁿ⁻¹ / 2ⁿ = ⅓ (3ⁿ / 2ⁿ) = ⅓ (3/2)ⁿ
r = 3/2, so it diverges.
For the third series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
For the fourth series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
simplify the expression 14x^-2 for x is 7
9514 1404 393
Answer:
2/7
Step-by-step explanation:
Put the number where x is and do the arithmetic.
[tex]14x^{-2}=\dfrac{14}{x^2}=\dfrac{14}{7^2}=\dfrac{7\cdot2}{7\cdot7}=\boxed{\dfrac{2}{7}}[/tex]
Jasmine is riding on a carousal. She is sitting 9.5 feet from the center and it takes 20 seconds to
complete a rotation. What is Jasmine's linear speed (rounded to the nearest tenth)?
Answer:
2.983 ft/sec
Step-by-step explanation:
Given that
Distance between center and Jasmine riding on a carousal = 9.5 feet
Time taken to complete one rotation = 20 seconds
To find:
Jasmine's linear speed = ?
Solution:
Number of revolutions per minute = [tex]\frac{60}{20} = 3[/tex]
Formula for linear speed is given as:
[tex]v=\dfrac{2\pi}{60}\cdot r\cdot RPM[/tex]
Where [tex]r[/tex] is the radius of circular path and
[tex]RPM[/tex] is the number of revolutions per minute.
[tex]v=\dfrac{2\pi}{60}\times 9.5 \times 3\\\Rightarrow v=\dfrac{\pi}{10}\times9.5 \\\Rightarrow v = \bold{2.983\ ft/sec}[/tex]
Therefore, the linear speed is 2.983 ft/sec.
9+8 divided by (-4)-12
Answer:
-1 1/16 if mixed number. If you want decimal form: -1.0625
Step-by-step explanation:
Your question was this:
9+8/(-4)-12
I want you first to get rid of the -4-12 and be done with it so here are the steps:
Rule: If negative subtract a negative, that shall be an addition problem with the larger number's symbol.
In this case, we need to add 4 and 12 together and include the negative symbol in front of the answer.
That shall be -16
Our Question now:
9+8/-16
So do 9+8 which is 17.
Our question now:
17/-16
Your answer is an improper fraction so you could change it to a mixed number or you could simply divide 17 and -16 to get a negative decimal.
Here are the possible answers:
Mixed Number: -1 1/16
Decimal Form: -1.0625
A forest covers 42,000 acres. A survey finds that 0.7 % of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
6,000,000
Explanation:
42,000 acres is the area you get after you multiply the number of acres of old-growth trees by 0.7%. So you would divide 42,000 by 0.7% to get the number of acres of old-growth trees.
# of acres of old-growth trees * 0.7% = 42,000
# of acres of old-growth trees = 42,000/0.7%
# of acres of old-growth trees = 6,000,000
PS. 0.7% = 0.007
Determine the absolute value. Type the numerical answer only. l4l
Answer:
4
I hope this helps!
Write 689,802,473 in numerals
Step-by-step explanation:
Tulis 689.802.473 dalam angka
six hundred eighty nine million eight hundred two four hundred and seventy three
sorry if wrong
Tony spent $60.54 and bought 3packs if notebooks and a calculator.How much does a pack of notebooks cost if a calculator costs $45.87
A school board randomly samples 80 students to determine their opinion on requiring school uniforms for the next school year. The table shows the results of the survey.
Opposed: 11
Undecided: 24
In favor: 45
A) If 1,200 students are in the district, how many students can be expected to oppose school uniforms?
B) Bernice says that based on the survey, a student is more likely to be undecided or opposed than in favor. Do you agree or disagree? Why or why not?
Using proportions, it is found that:
A. 165 students can be expected to oppose school uniforms.
B. From the sample, the most likely outcome is in favor, as it got the most responses, hence we should disagree with Bernice.
What is a proportion?A proportion is a fraction of a total amount.
Item a:
Out of 80, 11 opposed, hence, out of 1200, we apply the proportion and find that the amount will be of:
1200 x 11/80 = 165.
Hence, 165 students can be expected to oppose school uniforms.
Item b:
From the sample, the most likely outcome is in favor, as it got the most responses, hence we should disagree with Bernice.
More can be learned about proportions at https://brainly.com/question/24372153
Plz Answer fast
Using the order of operations, what should be done first to evaluate (-2)³ + 4 ÷ (-15 + 9)(3) - 4?
A) Add -15 and 9.
B) Divide 4 by -15.
C) Subtract 4 from 3.
D) Multiply 9 by 3.
Answer:
the answer is A
Step-by-step explanation:
please make me brainliest
The length of a rectangle is 5 less than twice it’s width.The perimeter is 26 meters.Find the dimensions of the rectangle.
Let l be the symbol for length
Let w be the symbol for width
[tex]l = 2w - 5[/tex]
Our first equation is built according to the given that the length is twice the width subtracted by 5
Our second equation is built on the definition of perimeter. A perimeter is the sum of all sides of a polygon. A rectangle has 4 sides (2 lengths and 2 widths)
So the perimeter of a rectangle is=l+l+w+w=2l+2w
[tex]2l + 2w = 26[/tex]
This will be our second equation;
I can make a system of equations of 2 unknowns using my 2 equations;
[tex]2l + 2w = 26[/tex]
[tex]l -2w = - 5[/tex]
Add the two systems together by adding everything that is before the equal sign together and everything after it together.
[tex]2l + l + 2w - 2w = 26 - 5[/tex]
[tex]3l = 21[/tex]
[tex]l = \frac{21}{3} = 7 \: meters[/tex]
To find the width substitute L=7 in any equation;
[tex]l = 2w - 5[/tex]
[tex]7 = 2w - 5[/tex]
[tex]7 + 5 = 2w[/tex]
12=2w
w=12/2=6
The app is bugging, the width is 6 meters and the length is 7 meters
in a car race feild(round track that is 500m diameter an observer was starting point and the race started a red car finished 5 laps in 30 minutes write a sin function to determine the distance between the observer and the red car at the minute graph the function.
Answer:
Distance between the observer and the red car is [tex]250 Sin \frac{\pi}{3}t[/tex]
Step-by-step explanation:
Diameter of field = 500 m
Radius of field =[tex]\frac{Diameter}{2}=\frac{500}{2}=250 m[/tex]
Let R be the radius and the speed at which the car completes race be w
So,[tex]w=\frac{2\pi}{T}[/tex]
Car finished 5 laps in minutes = 30
Car finished 1 lap in minutes = [tex]\frac{30}{5}=6[/tex]
So, [tex]w=\frac{2\pi}{6}=\frac{\pi}{3}[/tex]
Refer the attached figure
Angle between car and observer = wt
So, Distance between the observer and the red car is give as A sin wt
So, Distance between the observer and the red car=[tex]250 Sin \frac{\pi}{3}t[/tex]
Please help solve this problem
Answer:
BCA and DCA
Step-by-step explanation:
Because the angle are next to each other. If you look at the others, none of them have the other listed beside them
Heeeeeeeeeelllppppppp
Answer:
C
Step-by-step explanation:
Reflect over y axis translation down & left.
I don't know the answer lol
Answer:
The answer is B
Step-by-step explanation:
1) Which number is IRRATIONAL?
A) 4
B) 16
C) 32
D) 64
Answer:
[tex]\sqrt{32}[/tex]
Step-by-step explanation:
The square root of 4 is 2.
The square root of 16 is 4.
The square root of 32 is 5.65685425.
The square root of 64 is 8.
Therefore [tex]\sqrt{32}[/tex] is irrational.
Hope this helped! :)
There are 300 seeds in a packet of flower seeds.
Each seed will grow into a white flower or a yellow flower or a red flower.
The probability of a seed growing into a white flower is 0.62
45 of the seeds are expected to grow into yellow flowers.
One of the seeds is chosen at random from the packet.
What is the probability that this seed will grow into a red flower?
(3 marks)
Answer:
.23
Step-by-step explanatio
45 of the seeds will be yellow. So the probability of a yellow flower is
45/300 = .15
Total probability = probability of white + probability of yellow + probability of red
or
1 = P(W) + P(Y) + P(R)
we know P(W) = .62. So let x = probability of a red flower
1 = .62 + .15 + x
1 = .77 + x
x = .23
Lo necesito para hoy porfa ¿25/10 en decimal?
hi can u guys help me thank u and its worth 50 points :)
Answer:
The answer is the second option
Step-by-step explanation:
because the first two numbers 3 and 4 are a and b on a triangle and 6 is the hypothos
Three more than "n" is no more than -8.
Pls Help
Answer:
n + 3 ≤ -8
Step-by-step explanation:
"three more than n" means n + 3" is no more than n" means less than or equal to, so this symbol: ≤"-8" just means -8n + 3 ≤ -8Answer: n + 3 is greater than or less than to -8
The symbol ≤ means less than or equal to.
I hope this helped remember any number that has a negative combined with a positive depending on the number it will rise or fall. In this matter we are adding a positive to a negative so the number gets closer to 0.
In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 202, and the standard deviation is 38.2.
The following are the scores for some (not all) of her students. Complete the table using the dropdown menus.
Student Test Score z-score
A 126 1.25
B 98
C 97 -0.26
D 88
E 66 -1.88
F 95
G 111 0.47
H 105
The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00.
Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number.
For z = 2.00, test score = ______.
For z - -2.00, test score = ______.
Answer:
A)
Student Test Score z-score
A 126 1.25
B 98 -2.772
C 97 -0.26
D 88 -2.984
E 66 -1.88
F 95 -2.801
G 111 0.47
H 105 -2.539
B)For z = 2.00, test score =278.4
For z - -2.00, test score =125.6
Step-by-step explanation:
Student Test Score z-score
A 126 1.25
B 98
C 97 -0.26
D 88
E 66 -1.88
F 95
G 111 0.47
H 105
Mean = [tex]\mu = 202[/tex]
Standard deviation = [tex]\sigma = 38.2[/tex]
For Student B
x= 98
[tex]Z=\frac{x-\mu}{\sigma}=\frac{98-202}{38.2}=-2.722[/tex]
For Student D
x= 88
[tex]Z=\frac{x-\mu}{\sigma}=\frac{88-202}{38.2}=-2.984[/tex]
For Student F
x= 95
[tex]Z=\frac{x-\mu}{\sigma}=\frac{95-202}{38.2}=-2.8010[/tex]
For Student H
x= 105
[tex]Z=\frac{x-\mu}{\sigma}=\frac{105-202}{38.2}=-2.539[/tex]
Now we are supposed to find test scores :
For z = 2.00
[tex]Z=\frac{x-\mu}{\sigma}\\2=\frac{x-202}{38.2}\\(2 \times 38.2)+202=x\\278.4=x[/tex]
For z = -2.00
[tex]Z=\frac{x-\mu}{\sigma}\\-2=\frac{x-202}{38.2}\\(-2 \times 38.2)+202=x\\125.6=x[/tex]
Hence ,For z = 2.00, test score =278.4
For z - -2.00, test score =125.6
What is 12 5/25 as a mixed number simplest form?
Answer:
12 1/5
Step-by-step explanation:
5 can go into itself one time and 5 can go into 25 5 times hope that makes sense
Answer:
12 1/5
Step-by-step explanation:
Find the area of this circle.
A= ?
5 in
Hint: First, plug in the value
of the radius into the
formula for r.
Answer:
25π
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^{2}[/tex]. In this case, [tex]r[/tex] is 5, to the area will we [tex]25\pi[/tex].
Is the discriminant of f positive, zero, or negative ?
Answer:
Negative
Step-by-step explanation:
A quadratic that does not touch the x-axis always has a negative discriminant.
positive
Step-by-step explanation:[tex]As\ shown\ in\ the\ figure[/tex]
[tex]when\ g(x)=0,\ have\ 2\ real\ roots\ (b^2-4ac > 0,\ \ have\ 2\ real\ roots)[/tex]
[tex]So\ the\ discriminant\ of\ g\ positive[/tex]
I hope this helps you
:)
Denny bought a boquet f 20 flowers that cost $12 Roses cost $0.75 each Carnatons cost $0.50 each how many roses(r) and how many carnations(c) are in denny's bouget?
r+c=20
0.75r+0.5c=12
Answer:
Highest common factor of 63 and 45 is 9.
Therefore there can be 9 bouquets each with 5 roses and 7 carnations
Step-by-step explanation:
hope this helped!
PLEEEAAAAAASE HELP!
What is the answer to this question?
Answer:
23 unitsStep-by-step explanation:
Perimeter is the sum of side lengths
Let's find the sides first
AB = √(-2- 2)² + (-4+1)² = 5BC = (2 - (-1)) = 3CD = √(-1- 2)²+(5-2)² = √18 = 3√2 = 4.24DE = √(-4 -(-1))²+(2-5)²= √18 = 3√2 = 4.24AE = √(-4-(-2)²+(2-(-4))²=√40= 2√10 = 6.32Perimeter is
P = 5 + 3 + 4.24 + 4.24 + 6.32 = 22.8 ≈ 23 rounded to the nearest whole numberCan someone explain how to do this, I don't need a direct answer I just need an explanation.
Answer:
m[tex]\angle[/tex]STW = 40° m[tex]\angle[/tex] TSV = 140°Step-by-step explanation:
Here it is given that ,l ines PV , QW and RX are parallel .That is ,
[tex]\longrightarrow PV \ || \ QW \ || RX [/tex]
And we would like to find out the value of ,
[tex]\longrightarrow m\angle STW \ \& \ \angle TSV [/tex]
As we know that when a transversal intersects two parallel lines then ,
Corresponding angles are equal .Also this is used as an axiom to prove that two lines are parallel .The sum of co- interior angles is 180° .Here ,
[tex]\angle STW [/tex] and [tex]\angle TUX [/tex] are corresponding angles .So they must be equal.
[tex]\longrightarrow x = 2y \dots (i)[/tex]
Again here [tex]\angle VST[/tex] and [tex]\angle STW[/tex] are co- interior angles. So ,
[tex]\longrightarrow x + (x +5y) = 180^o \dots (ii) [/tex]
Substitute the value from equation (i) into (ii) ,
[tex]\longrightarrow 2y + 2y +5y =180^o \\[/tex]
[tex]\longrightarrow 9y = 180^o\\[/tex]
[tex]\longrightarrow y =\dfrac{180^o}{9}\\[/tex]
[tex]\longrightarrow y = 20^o [/tex]
[tex]\rule{200}4[/tex]
Therefore , we may find out the required angles as ,
[tex]\longrightarrow m\angle STW = x \\ [/tex]
[tex]\longrightarrow m\angle STW = 2y\\ [/tex]
[tex]\longrightarrow m\angle STW = 2(20^o)\\ [/tex]
[tex]\longrightarrow \underline{\underline{m\angle STW = 40^o}} [/tex]
[tex]\rule{200}4[/tex]
Again ,
[tex]\longrightarrow m\angle TSV = x + 5y \\ [/tex]
[tex]\longrightarrow m\angle TSV = 40^o 5(20^o)\\[/tex]
[tex]\longrightarrow m\angle TSV = 40^o + 100^o\\ [/tex]
[tex]\longrightarrow \underline{\underline{ m\angle TSV = 140^o }} [/tex]
And we are done!
[tex]\rule{200}4[/tex]
Mary fills a container with water. It holds 6 liters. How many milliliters does the container hold?
Answer:
the container that holds
6 liters= 6,000mL