Answer:
Step-by-step explanation:
Maximum is at (1.5,14).
Minimum is at (4, 0).
y-intercept is at (0, 9)
x intercept is at ( 4, 0).
increasing from x = 0 to x = 1.5 and x = 0 to 6.
decreasing from x = 1.5 to x = 0
You have a 25 cm piece of ribbon. How many cuts do you need to make to obtain the greatest number of pieces, where each piece is a different length and the length of each piece is a whole number, in centimeters?
Answer:
The cloth length is 400cm
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
honestly the easiest way to do this question is trial and error.
to cut the ribbon into 5 pieces they have to be sizes 3cm, 4cm, 5cm, 6cm and 7cm
A researcher investigated the relationship between alcohol intake and reaction time in a driving simulation task. Participants drank either one ounce or three ounces of alcohol and were then measured on braking speed at a simulated red light. The independent variable was the
Answer:
Alcohol intake
Step-by-step explanation:
The Independent variable also called the predictor variable may be described as the treatment which is given a subject or factors which is expected to induce a change in our measured variable which is called the predicted or dependent variable. During research, the test various factors which are expected to cause a change are the independent variable, whereas, the variable which is measured as a result of the changes caused due to the different independent variables is the dependent variable. In the scenario above, we wish to measure braking speed after the subjects have been given a certain ounce of alcohol, this ounce of alcohol is the treatment which is expected to cause a variation in the braking speed of the participants. Hence, alcohol intake is the independent variable while braking speed is the dependent variable.
Is x = 9 in the solution set of the inequality x + 14 < 20
Yes or no
Answer: No
Step-by-step explanation:
Data: x+14<20
x=9? Is what your trying to find
Step one, Isolate x by subtracting 14 on both sides
X+14-14<20-14=X=6
Reason: Since you are trying to find if x=9, you have to isolate it. The way to do that is to get rid of +14 by subtracting it by 14. However, since what you do to one side you do to the other, you subtract +20 by 14 to get 6.
Since x=6 isn't x=9, the answer is No
Answer: No
I hope this helps!
The histogram shows the ages of the players in an adult volleyball league. Which of the
following statements is true?
Volleyboll Players Ages
The older the age group, the greater the
number of players
5
There are 30 players between ages 20 and 25.
Number of Players
More than half of the players are under age
40.
20% 30% 50's 70's
Age Group
There must be 5 players between 50 and 55.
Answer:
More than half of the players are under age
40.
Step-by-step explanation:
Evaluating the expression : More than half of the players are under age 40.
Below 40s :
Number of players in 20s = 19
Number of players in 30s = 24
(19 + 24) = 43 players
40s and above :
40s = 8 players
50s = 10 players
60s = 5 players
70s = 2 players
(8 + 10 + 5 + 2) = 25 players
Hence, total number of players below 30s is more Than half of the total players
Find the equation of a line that passes through (5.3) and (4,5).
Answer:
y=-2x+13
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-3)/(4-5)
m=2/-1
m=-2
y-y1=m(x-x1)
y-3=-2(x-5)
y=-2x+10+3
y=-2x+13
The ratio of red chairs to blue chairs in the cafeteria is 3:5. If there are a total of 144 chairs in the cafeteria, how many are red?
Answer:
54.
Step-by-step explanation:
The fraction that are red = 3/(3+5) = 3/8.
So number of red chairs = 3 * 144/8
= 54.
SOMEONE PUT AN ANSWER SO IT DOESNT GET DELETED!!!
Which statements about the cylinder are true? Select
two options
The radius of the cylinder is 2x units.
The area of the cylinder's base is zx square units,
The area of the cylinder's base is ex square units,
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.
THE ANSWER IS B AND E
Answer:
The height of the cylinder is 4x units.
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius = x/2
Let illustrate with an example. If the diameter of a cylinder is 6 and the volume is 6^3 = 216. The radius = 6/2 = 3
n3^2 x h = 216
h = 216/9 = 24
so the height is 4 times the diameter
Area of the base = nr^2
1/2^2 x x = 1/4 pi x^2
The librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books checked out each day. The assistant took a sample and found the mean to be 880 books. She provides the librarian with an interval estimate of between 790 and 970 books checked out per day. An efficient, unbiased point estimate of the number of books checked out each day at the Library of Congress is
Answer:
a. 880
Step-by-step explanation:
Options are "a. 880 b. 90 c. 790 d. None of these choices"
Interval estimate of between 790 and 970 books checked out per day.
Lower limit is 790, Upper limit is 970
Point estimate of μ(x) = [Upper limit + Lower limit} / 2
Point estimate of μ(x) = [970 + 790] / 2
Point estimate of μ(x) = 1760/2
Point estimate of μ(x) = 880
So, the efficient, unbiased point estimate of the number of books checked out each day at the New York City Public Library is 880.
find K if 4 x square - 2 X square + kx + 5 leaves a remainder -10 when divided by 2x+1
Answer:
[tex]k = 31[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x^2 - 2x^2 + kx + 5[/tex]
[tex]r = -10[/tex] --- remainder
[tex]d = 2x + 1[/tex] --- divisor
Required
Find k
We have:
[tex]d = 2x + 1[/tex] --- divisor
Equate to 0
[tex]2x + 1 = 0[/tex]
Solve for x
[tex]2x = -1[/tex]
[tex]x =-0.5[/tex]
This means that:
[tex]f(-0.5)=-10[/tex]
So, we have:
[tex]4*(-0.5)^2 - 2*(-0.5)^2 + k*-0.5 + 5 =-10[/tex]
[tex]0.5 -0.5k + 5 =-10[/tex]
Collect like terms
[tex]-0.5k=-10-5-0.5[/tex]
[tex]-0.5k=-15.5[/tex]
Solve for k
[tex]k = -15.5/-0.5[/tex]
[tex]k = 31[/tex]
The U.S. Department of Agriculture records data on farm acreage and number of farms by county for every county in the country. This takes considerable time and energy, and the results for each update (usually occurring approximately every five years) are a long time in process. A quicker way to update the data is by sampling. The table below shows the number of counties in each geographic region and a summary of farm acres (in thousands) for independent random samples of 22 counties from each region.
Region Number of counties
North Central 1052
North East 210
South 1376
West 418
Required:
a. Estimate the mean acreage for each region, with a margin of error.
b. Estimate the total acreage for each region, with a margin of error.
c. Estimate the difference between mean acreage for the North Central region and the South, with a margin of error.
d. Estimate the difference between mean acreage for the North East and the West, with a margin of error.
e. Estimate the mean acreage per county across the United States, with a margin of error.
Solution :
From the table,
Number of countries = [tex]$N_i$[/tex]
Mean = [tex]$\overline Y_i$[/tex]
Standard deviation = [tex]$\sigma_i$[/tex]
Margin of error of B = 50,000 acres
So we determine the [tex]$\text{sample size n}$[/tex] and then allocate the four regions of [tex]$n_1, n_2, n_3$[/tex] and [tex]$n_4$[/tex].
Under the [tex]$\text{proportional allocation}$[/tex], the [tex]$\text{equation}$[/tex] for the value of [tex]$n_1$[/tex] which yields [tex]$V(\overline Y_{st}) = D = \frac{B^2}{H}$[/tex] is given by :
[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]
Let us complete the numerator
[tex]$\sum_{K=1}^L N_K \sigma^2_K = N_1\sigma_1^2 + N_2\sigma_2^2 + N_3\sigma_3^2 + N_4\sigma_4^2$[/tex]
[tex]$= 1052 \times (271)^2 + 210 \times (79)^2 + 1376 \times (244)^2 + 418 \times (837)^2 $[/tex]
= 453329920
The bound on the error of estimation is B = 50,000 acres
Hence we get
[tex]$D=\frac{B^2}{H}$[/tex]
[tex]$=\frac{50000^2}{4}$[/tex]
= 625,000,000
[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]
[tex]$=\frac{453329920}{3056 \times 625 + \frac{1}{3056} \times 453329920}$[/tex]
= 220.24044
≈ 221 (approximately)
Therefore, the sample size under the proportional allocation from each stratum are given by :
[tex]$n_1=n\left[\frac{N_1}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{1052}{3056}\right]$[/tex]
≈ 76
[tex]$n_2=n\left[\frac{N_2}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{210}{3056}\right]$[/tex]
≈ 15
[tex]$n_3=n\left[\frac{N_3}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{1376}{3056}\right]$[/tex]
≈ 100
[tex]$n_4=n\left[\frac{N_4}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{418}{3056}\right]$[/tex]
≈ 30
Thus, we should select 76 counties from North central region, 15 counties from the north east region, 100 from south region and 30 from west region.
We can also estimate mean acreage of each county across all the county with a margin of error of 50,000 acres.
Please help!!!!!!!!!!!!!!
Answer:
131/156 or about 84%
5/14 or about 36%
Step-by-step explanation:
P(<6 classes) = number of males and females not taking 6 out of total males and females, which is 131/156 or about 84%
P(M,5) = 74/156 x 20/74 which reduces to 5/14
Is 5pi/3 the same as 5/3 radians?
Best answer gets brainliest!!
Directions: Find the surface area of the following solid figures using the given
formula Fill in the blank with the missing number.
(help, i have many assignments to do)
Answer:
for number 2:
(6cm x 4cm) + (6cm x 3cm)
24cm + 18cm + 12cm
2 x 54cm
108cm
for number 3:
80m + 1920m
2,000m
Please help me fast i need help
First question: less or greater
Second question: decrease or increase
Third question: would or would not
fourth question: correct or incorrect
You have to choose the answer's
Ok
Answer:
Look at the image.
Step-by-step explanation:
Which of the following is the point and slope of the equation y + 2 = 2(x - 8)?
-8, 2), 2
(2, -8), 2
(8, -2), 2
(-2, 8), 2
if a +b+c = 0 then the value of a²+b²+c²/bc+ca+ab
pls solve and give the explanation
Answer:
[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]
Step-by-step explanation:
if:
a + b + c = 0
then we can rewrite:
c = -a - b
Now we can replace this in our expression:
[tex]\frac{a^2 + b^2 + c^2}{a*b + a*c + b*c} = \frac{a^2 + b^2 + (-a - b)^2}{a*b + a*(-a - b) + b*(-a - c)}[/tex]
Now we can rewrite:
(-a - b)^2 = a^2 + 2*a*b + b^2
Then we can rewrite our expression as:
[tex]\frac{a^2 + b^2 + a^2 + b^2 + 2*a*b}{a*b - a^2 - a*b - b^2 - b*a}[/tex]
Let's keep simplifying this:
[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2}[/tex]
Here is easy to see the simplification we need to do, as we have the same factor in the denominator as in the numerator (just a different of sign).
[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2} = \frac{2*(a^2 + b^2 + a*b)}{-(a^2 + b^2 + a*b)} = -2[/tex]
Then the expression is equal to -2
[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]
What value of x satisfies this equation?
10(1.5)^(3x) = 80
Round your answer to the nearest hundredth.
Answer:
X = 1.71
or
X = 1.70951
Step-by-step explanation:
Good Luck!
The required value of x for the given equation is approximately 1.71.
What are exponential functions?When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.
Equation:
The given equation is [tex]10(1.5)^{3x} = 80[/tex]
Divide both sides by 10.
[tex](1.5)^{3x} = \dfrac{80}{10}\\\\(1.5)^{3x} = 8[/tex]
Taking log on both sides, we get
[tex]log (1.5)^{3x} = log 8\\\\3x log (1.5) = log 8[/tex]
Divide both sides by 3log(1.5).
x = log 8/ 3log(1.5)
x = 1.71
Therefore, the required value of x for the given equation is approximately 1.71.
Find out more about 'Equation' here:
brainly.com/question/11162571
#SPJ2
Write the number shown in standard notation.
5.29 x 10
A. 52,900
B. 5,290,000
C. 5,290
D. 529,000
Answer:
It's A
Step-by-step explanation:
5,29×10=52,9
you move coma one place to the right when times 10
Answer:
52.9.
Step-by-step explanation:
[tex]5.29*10=52.9[/tex]
Whenever a number is multiplied by 10, move the decimal one place to the right.
Whenever a number is multiplied by 100, move the decimal two places to the right.
Whenever a number is multiplied by 1000, move the decimal three places to the right.
I'm sure you understand now.
Therefore, the product is 52.9.
However, I do not see an answer choice for this. Perhaps you made a mistake?
Please help need this last one.
Answer:
10
Step-by-step explanation:
If you look at it closely you can see its a complete circle.... on the sides its 12 then as you go to the center the first one is ten and the dot is in the center which should make it 10.
Answer:
it's basically 10, both sides are equal
Step-by-step explanation:
Question 1 of 14
Which of the equations or inequalities below are true?
A. -4 + 6 = 1
B. -4 + 6 7-2
C. -4 + 6 24
D. -4+6 s 2
question seems incomplete
there are no notations for inequalities
Seventy of Jo’s students are traveling by bus to the aquarium. They rented 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a van. The equation 2b+6=70 represents the given scenario. What does B represent?
A. The number of students who rode on each bus
B. The number of buses
C. The total number of students going to The football game
D. The number of vans
Answer:
A
Step-by-step explanation:
NEED HELP! What is the value of x?
Step-by-step explanation:
from the triangle
let angle close to 130⁰ be y
130⁰+y⁰=180⁰(sum of angles on a straight line)
y⁰= 180⁰-130⁰
y = 50⁰
70 + y + x = 180⁰(sum of angles in a triangle)
70 + 50 + x= 180⁰
x= 180⁰-120⁰
x=60⁰
Maria is bringing her sick dog Pedro in for a series of appointments at the
veterinary clinic. Her total cost over the course of treatment will be $150 for tests
and medicine plus $30 per appointment, a.
Answer:
need help asap
Step-by-step explanation:
y = 3x - 3 y = x2 + 5x - 2
Answer:
The answer is
(0 , 0)
Good luck!
PLEASE ILL GIVE BRAINLIEST
Ahmed has 31 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 535 cents, how many dimes and how many quarters does he have?
Answer:
19 dimes and 15 quarters.
Step-by-step explanation:
Lets substitute in the equation
565=10x+25(34-x)
565=10x+850-25x
15x=285
x=19
So...
34-19=15
plzzzzz help me i have no clue
Answer: Maybe a
Step-by-step explanation:
I mean it is confusing but still look over it
Answer:
The bottom one looks correct
Step-by-step explanation:
Any number from 1-infinity will make that true
what number shoild come next 100,96,88,72
Answer - 40
----------
100 - 4
96 - 8
88 - 16
72 - 32
A truck weighs 14,000 pounds how many tons do two truck weigh
Answer:
14 tons
Step-by-step explanation:
1 truck -- 14 000 pounds
2 trucks -- (14 000 * 2) = 28 000 pounds
1 pound --- 0.0005 tons
So, 28 000 pounds --- 14 tons
Thenks and mark me brainliest :)
Express y-4[y-3(y-2)] -5 in simplest form
Answer:
y^3 - 9y^2 + 26y - 29
Step-by-step explanation:
y - 4[y - 3(y - 2)] - 5
I'm going to separate it into parts
(y - 3)(y - 2)
y^2 - 5y + 6
(y - 4)(y^2 - 5y + 6)
y^3 - 5y^2 + 6y - 4y^2 + 20y - 24
y^3 - 9y^2 + 26y - 24
y^3 - 9y^2 + 26y - 24 - 5
y^3 - 9y^2 + 26y - 29
Find the measure of the missing side PQ using trig ratios
Answer:
take 48 degree as reference angle
use sine rule
sin48=opposite/hypotenuse
0.74=5.4/x
x0.74=5.4
x=5.4/0.74
x=7.29 m
Step-by-step explanation:
Answer:
[tex]sin 48 = \frac{5.4}{X}\\\\X = \frac{5.4}{sin 48}= 7.27m[/tex]