Answer:
a) 68% of the students spend between 10.2 hours and 15.8 hours on Statistics each week.
b) 95% of the students spend between 7.4 hours and 18.6 hours on Statistics each week.
c) 99.7% of the students spend between 4.6 hours and 21.4 hours on Statistics each week.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 13 hours
Standard deviation = 2.8 hours.
a) 68% of the students spend between hours and hours on Statistics each week.
Within 1 standard deviation of the mean.
13 - 2.8 = 10.2 hours
13 + 2.8 = 15.8 hours
68% of the students spend between 10.2 hours and 15.8 hours on Statistics each week.
b) 95% of the students spend between hours and hours on Statistics each week.
Within 2 standard deviations of the mean
13 - 2*2.8 = 7.4 hours
13 + 2*2.8 = 18.6 hours
95% of the students spend between 7.4 hours and 18.6 hours on Statistics each week.
c) 99.7% of the students spend between hours and hours on Statistics each week.
Within 3 standard deviations of the mean
13 - 3*2.8 = 4.6 hours
13 + 3*2.8 = 21.4 hours
99.7% of the students spend between 4.6 hours and 21.4 hours on Statistics each week.
how do you find the zero(s) of a polynomial function
Answer:
by using the quadratic formula
Step-by-step explanation:
negative b plus or minus the square root of b squared minus 4ac, then all divided by 2a
Explain why the terms of the polynomial y2 + 7 are said to be realitvley prime
Answer:
The terms of the polynomial are relatively prime because the highest integer that divides them both is 1.
Step-by-step explanation:
Two numbers are said to be relatively prime if their greatest common factor ( GCF ) is 1 .
Now, the expression we are given in the question is a polynomial;
y² + 7.
The terms of the polynomial y² + 7 are y² and 7 and have no common factor and in fact cannot be factorized further. Thus, these terms are said to be relatively prime because the highest integer that divides them both is 1.
Find the equation for the plane through the points Upper P0 (-2 ,2 ,-5),Q0 (1,2,-1), and Upper R0 (-1,-5,4 ).
The equation of plane is:________
Answer:
28x - 23y - 21z = 3
Step-by-step explanation:
First, we need to find two vectors in the plane as:
vector PQ = Q - P = (1, 2, -1) - (-2, 2, -5) = (3, 0, 4)
vector PR = R - P = (-1, -5, 4) - (-2 ,2 ,-5) = (1, -7, 9)
Then, we need to find a normal vector to the plane as:
PQ x RQ = ((0*9)-(4*-7), -(3*(9)-(4*1), (3*-7)-(0*1))
PQ x RQ = (28, -23, -21)
Finally, the equation of a plane is:
A(x-x0) + B(y-y0) + C(z-z0) = 0
Where (A,B,C) is a normal vector to the plane and (x0, y0, z0) is a point in the plane. So, replacing (A,B,C) by (28, -23, -21) and (x0, y0, z0) by P0(-2,2,-5), we can write the equation of the plane as:
28(x+2) - 23(y-2) - 21(z+5) = 0
Solving, we get:
28x + 56 - 23y + 46 - 21z - 105 = 0
28x - 23y - 21z - 3 = 0
28x - 23y - 21z = 3
Sean wants to buy a personal insurance policy that will pay monthly benefits to his son after Sean dies. He pays $500
monthly over the next 10 years to the insurer.
What type of insurance should he buy?
A annuity
B premium
C dividends
D liability
Answer:
B.
Step-by-step explanation:
Premium insurance is an insurance amount paid to the insurer periodically. In this type of insurance, the insurer is required to provide coverage. This insurance policy covers healthcare, life, auto, home, etc. In this insurance, one is required to pay a certain amount of money on monthly, quarterly, or annually basis.
In the given scenario, Sean should buy premium insurance as it covers life and healthcare insurance as well. He can pay $500 on monthly basis to the insurance company. And after Sean's death, his son can claim the amount.
So, the correct answer is option B.
Answer:
A. annuity
Step-by-step explanation:
I know it is a little late for this answer, but I thought I would add it for anyone else who is struggling :) I know it is annuity because I literally just took the test and got it right.
find the slope of the line that passes through the points (5,1) and (-4,1)
Answer:
B. 0
Step-by-step explanation:
To find slope, use [tex]m = \frac{y2 - y1}{x2 - x1}[/tex] to find m in y = mx + b. Your m is always your slope.
15 less than three times the width 3
its the answer 3w-15?
Answer:
Yes, the answer is 3w-15
Step-by-step explanation:
-15 (fifteen less than)
3w (three times the width)
What is a perfect cube and how can you check if a given number is a perfect cube? Explain why.
Answer:
Read below.
Step-by-step explanation:
A perfect cube is a number cubed (If that makes sense). Such as 3³ will equal a perfect cube because it's being multiplied by itself 3 times. 3×3×3=9. It will work for any whole number. You can check if a given number is a perfect cube by using the cube root ([tex]\sqrt[3]{x}[/tex]).
Hope it makes sense!
Step-by-step explanation:
A perfect cube is a cube whose cube root can be easily gotten by using methods such as factor method eg 125 is a perfect cube whose cube root is 5. You can know if a number is a perfect cube 1.) if it gives you a perfect cube root
I need HELP! is the missing value 25?
Answer: choice3) 25
Step-by-step explanation:
The constant ratio of y/x is 2.5
so if the x value is 10 the y value would be 25(10*2.5).
The angles of a triangle are such that one angle is 100 degrees more than the smallest angle, while the third angle is 2 times as large as the smallest angle. Find the measure of all three angles.
Answer:
20, 40, 120
Step-by-step explanation:
Smallest angle = x
Second angle = x + 100
Third angle = 2x
4x + 100 = 180
4x = 80
x = 20
20, 120, 40
(3x^7)^2 i need help look at the pictures
Answer:
9x^14
Step-by-step explanation:
(3x^7)^2= 3^2x^(7*2)= 9x^14
no picture?
Answer:
[tex]9x^{14}[/tex]
Step-by-step explanation:
[tex](3x^7)^2[/tex]
[tex]3^2 \times x^{7 \times 2}[/tex]
[tex]9 \times x^{14}[/tex]
To examine the effect of high-dose green tea extract on weight loss, researchers conducted a randomized, double-blind trial on a random sample of 115 women with obesity from Taiwan. Some of these women were randomly assigned to the main treatment group taking a high-dose green tea extract ("EGCG") daily for 12 weeks. The published abstract of this 2015 study reports that, "Significant weight loss, from 76.8 ± 11.3 kg to 75.7 ± 11.5 kg (p = 0.025), was observed in the treatment group after 12 weeks of high-dose EGCG treatment."
Which of the following inference procedures would be used to reach the quoted conclusion?
a. Z procedure for a proportion
b. Chi-square for two-way tables
c. Chi-square for goodness of fit
d. Two sample t procedure for two means
e. One sample or matched-pairs t procedure for a mean
f. ANOVA for several means
Answer:
d. Two sample t procedure for two means.
Step-by-step explanation:
The study have a treatment group, which is the group of women that are taking the high dose of green tea extract, and a control group, in order to compare. They are assigned randomly to each group.
Then, the difference fo the two sample means is calculated and a t-test is performed in order to conclude if the two populations means are significantly different.
Apparently they are significantly different, as this is the conclusion with a P-value of 0.025.
The graph of a linear function is a _______
The graph of a linear function is a straight line.
(3х^2y^3)^3 =
3x^5y^6
9х^6y^9
27x^5y^6
27x^6y^9
Answer:
27x^6y^9
Step-by-step explanation:
The outside exponent multiplies all of the inside exponents. The applicable rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)^c = a^(bc)
__
(3x^2y^3) = (3^3)(x^(2·3))(y^(3·3)) = 27x^6y^9
The product of 5 and the sum of 12 and a certain number is 10. What is the number 4
Answer:
-10
Step-by-step explanation:
5(12 + x) = 10
60 + 5x = 10
5x = -50
x = -10
Need help ASAP please
Answer:
r = l / π/180× θ
11.6 cm
Step-by-step explanation:
l = π/180 × r × θ
r = l / π/180× θ
r = 12.5 / π/180× 62
r = 11.55156845
The beginning balance on a monthly bank statement for ignatius checking account was $124.82, and the ending balance was $659.27. What can be said about Ignatius transactions for the month
Answer:
He had 534.45 more in credits that debits
Step-by-step explanation:
Ignatius hd $534.45 more in credits than in debits. Since Ignatius had an initial balance of $124.82 at the beginning of the month and ended the month with $659.27 he was up money versus what he had in his account at the beginning of the month. During the month Ignatius made money that was credited to his account so that he ended it with a higher balance.
Stephanie spent $110 on 1.7 pounds of coffee. she wants to know how much each pound costs. how would she find out how much each pound costs? write equation and explain how you got that answer.
$64.71 rounded, explanation attached
The Fan Cost Index (FCI) represents the cost of four average-price tickets, refreshments, and souvenirs to a sporting event. The FCIs for an independent golf league and an independent arena football league totaled $124.41. The arena football FCI was $7.79 more than that of golf. What were the FCIs for these sports?
Answer:
Golf league FCI = $58.31
Arena football league FCI = $66.10
Step-by-step explanation:
Let G be the fan cost index for the golf league and F be the fan cost index for the football league. The following system of equations can be modeled from the given information:
[tex]F+G = 124.41\\F=G+7.79[/tex]
Solving this linear system (substituting the second equation into the first one):
[tex]7.79+G+G = 124.41\\G= \$58.31\\F = 58.31+7.79\\F=\$66.10[/tex]
Golf league FCI = $58.31
Arena football league FCI = $66.10
The graph shows the estimated value of a piece of land, where x is the number of years since the purchase and y is the estimated value in thousands of dollars. The graph shows the estimated value of a piece of land, where x is the number of years since the purchase and y is the estimated value in thousands of dollars. What was the purchase price of the land? $10,200 $100,000 $102,000 $1,000,000
The correct answer is B. $100,000
Explanation:
The graphic shows how the value of the piece of land changed from the moment it was bought to five years later by relating the value in the y-axis to the years passed in the x-axis. The initial value or purchase price of the land is the value shown in the y-axis at 0 years (x-axis )or the first orange dot because this is the initial value of the land before any time had passed. According to this, the value is $100,000 considering the number in this intersection is 100 but this is the value in thousands of dollars.
Answer:
It's B or $100,000
Step-by-step explanation:
There are 360 animals on a form 1/5 are cows and 3/8 are sheep then the numbers of cows is
135
72
180
Answer: 72 cows
Step-by-step explanation:
Since the question is asking for cows, we will use the given information to do so. Since 1/5 of the animals are cows, we multiply 1/5 and 360 to find the total amount of cows.
[tex]360*\frac{1}{5} =72[/tex]
A 2-column table with 5 rows. Column 1 is labeled Item with entries Italian Salad, Fettucine Alfredo, Subtotal, Sales Tax (5 percent), Total. Column 2 is labeled Price with entries 3 dollars and 99 cents, 7 dollars and 17 cents, 11 dollars and 16 cents, 56 cents, 11 dollars and 72 cents. Abelita and Franco had great service during the meal. They would like to tip the server 20 percent. Which of these expressions would find the total bill, including tax and gratuity? Check all that apply. (0.2)(11.72) 11.72 – [(0.2)(11.72)] 11.72 + [(0.2)(11.72)] (1.2)(11.72)
ASAP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ!!!!!!!!!!!!!!!!!!!!!!!
Answer:
(C)11.72+[(0.2)(11.72)]
(D)(1.2)(11.72)
Step-by-step explanation:
From the table:
The Total =$11.72
They would like to tip the server 20 percent. Therefore, their total bill will be :
[tex]11.72+(20\%$ of 11.72)\\=11.72+[(0.2)(11.72)][/tex]
We can also re-write this by factorizing as shown below:
[tex]11.72+[(0.2)(11.72)]\\=11.72[1+0.2]\\=(1.2)(11.72)[/tex]
The correct options are C and D,
Answer: c and d
Step-by-step explanation: 2020 edg
True or False - the following scenario depicts an independent relationship between variables (tree growth and air quality): 20% of trees growing in a particular region are not growing to their expected height. In a particular neighborhood in that region, the Air Quality Index is labeled as "Unhealthy for Sensitive Groups" or worse 30% of the time. 10% of the trees in the region grow in this neighborhood. If you randomly measured the growth of a tree in that neighborhood, then the probability that that tree is not growing to its expected height is 33.33%.
-3
n is an integer.
Write down the possible values of n.
I
Answer:
since n is an integer you substitute n with all the integers. But since that is too much you should use infinity.
n=[-∞,+∞] where -∞ is a negative infinity which stands for negative numbers and +∞ is a positive infinity where it stands for positive numbers.
an integer contains negative and positive numbers so above is the answer.
Step-by-step explanation:
which table has the largest area, square tables with a side length of 36 inches, rectangular table 20 inches wide and 73 inches long, round tables with a diameter of 42 inches
Answer:
rectangular table
Step-by-step explanation:
You want to know the largest area of tables that are ...
36 inches square20 inches by 73 inches42 inches in diameterArea FormulasThe formulas for the areas of the various shapes are ...
square: A = s²rectangle: A = LWcircle: A = πr² . . . . . . where r is half the diameterSquareThe area of the square table is ...
A = (36 in)² = 1296 in²
RectangleThe area of the rectangular table is ...
A = (20 in)(73 in) = 1460 in²
CircleThe area of the round table is ...
A = π(21 in)² ≈ 1385 in²
The rectangular table has the largest area.
__
Additional comment
You can eliminate the square table right away by realizing the rectangular table is more than twice as long, and more than half as wide. If the rectangle were 18 in by 72 in, it would have the same area as the square.
A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 6.2 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 164 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)?Group of answer choices
Answer:
3.8% , unusual
Step-by-step explanation:
We have that the mean is 175 degrees (m) and the standard deviation is 6.2 degrees (sd), so we are asked:
P (x <164)
P ((x - m) / sd <(164 -175) /6.2)
P (z <- 1.77)
If we look in the normal distribution table we have to:
P (x <164) = 0.0384
That is, the probability is 3.8%
Unusual is when the probability is less than 5%, that is to say in this case if it can be said that an unusual data.
The height of a stream of water from the nozzle of a fire hose is modeled by h(x) =-0.03x2+ 2x + 38 where h(x) is the height in feet, of the stream of water x feet from the fire truck. 1. What is the maximum height the water from this nozzle can reach? What is the maximum distance from the firetruck a firefighter can stand and still reach the fire?
Answer:
height: 71.33 feetreach: 82.10 feetStep-by-step explanation:
The equation can be rewritten to vertex form:
h(x) = -0.03(x² - 200/3x) +38
h(x) = -0.03(x² -200/3x +(100/3)²) +38 +.03(100/3)²
h(x) = -0.03(x -33 1/3)² +71 1/3
The vertex is (33 1/3, 71 1/3), so the maximum height the water will reach is 71 1/3 feet.
__
When h(x) = 0, the water reaches as far as it possibly can.
0 = -0.03(x -33 1/3)² +71 1/3
(-71 1/3)/(-0.03) = (x -33 1/3)² . . . subtract 71 1/3; divide by -0.03
√(2377.78) = x -33.33 . . . . . . . . positive square root
82.10 ≈ x
The maximum distance the water will reach is 82.10 feet.
For the polynomial below, what is the coefficient of the term with the power of 3?
A.0
B.1
C.6
D.5
Answer:
Option B
Step-by-step explanation:
x^3
Coefficient = 1
Option B
Answer:
B = 1
Step-by-step explanation:
this is becus we don't write 1 as a coefficient it's there but in an invisible form
anyone who make the one visible is considered an amateur
I will give brainlisest!!!
Lines x and y are parallel.
Parallel lines x and y are intersected by lines s and t. At the intersection of lines x, t, and s, clockwise from top left, the angles are blank, blank, (6 x + 8) degrees, blank, (7x minus 2) degrees, blank. At the intersection of lines x and y, the angles are 106 degrees, 1, blank, blank. At the intersection of lines y and t, the angles are 2, blank, blank, blank.
Given the diagram, which statement is not true?
m∠1 = (6x + 8)° because they are corresponding angles.
m∠1 = 74° because ∠1 is supplementary to the angle marked 106°.
m∠1 + (6x + 8)° + (7x – 2)° = 180° because they can form a straight line which measures 180°.
(7x – 2)° + m∠2 = 106° because the sum of the remote interior angles equals the exterior angle.
Answer:
the third one since the other ones are correct
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Need Help
Please Assist
Solve the system of equations. \begin{aligned} & -9x+4y = 6 \\\\ & 9x+5y=-33 \end{aligned} −9x+4y=6 9x+5y=−33
Answer:
x = -2
y = -3
Step-by-step explanation:
We can use either substitution or elimination for this problem. I will use elimination to solve this problem:
Step 1: Eliminate x by adding the 2 equations together
9y = -27
y = -3
Step 2: Plug in y into one of the original equations to get x
-9x + 4(-3) = 6
-9x -12 = 6
-9x = 18
x = 2
And we have our final answers!