Answer:
h ≤ 45
Step-by-step explanation:
The maximum height is 45 feets
Let the height of the object = h
Hence, the sentence means that the height, h of the object cannot be beyond 45 feets ;
This means the height can be any number of feets less than or equal to 45 feets
Hence, h ≤ 45
STAAR Review= the ratio of number of boy to girls is 5 to 4 . there are 60 girls how many boys is in the choir
Answer:
75 boys
Step-by-step explanation:
[tex]\frac{5}{4}[/tex] = [tex]\frac{x}{60}[/tex]
4x = 300
x = 75
Answer:
75
Step-by-step explanation:
5/4 = x/60
4x = 300 300 divided by 4 equals 75
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
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.
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.
y = 3x - 3 y = x2 + 5x - 2
Answer:
The answer is
(0 , 0)
Good luck!
Help please ❤️ !
Write a linear equation in slope intercept form given the
Slope = 2 and the y intercept = (0,-4)
Answer:
y = 2x - 4
Step-by-step explanation:
y = (slope)x + (y intersept)
y = (2)x + (-4)
y = 2x - 4
Solve the right triangle. Round decimal answers to the nearest tenth.
PLS PLSS HELPPPP 25 POINTSSS
Answer:
Step-by-step explanation:
[tex]14^2 = b^2+6^2\\b^2 = 14^2-6^2\\b = \sqrt{14^2-6^2} \\ = \sqrt{160}\\ = 12.6491106407[/tex]
Rounding off to nearest tenth:
b ≈ 12.6
tanθ = 6/12.6
[tex]tan^{-1} (6/12.6)\\ = 25.46334506\\[/tex]
Hence angle A ≈ 25.5
Angle B = 180-25.5-90
Angle B = 64.53665494
Hence, Angle B ≈ 64.5
Feel free to mark as brainliest
Is 5pi/3 the same as 5/3 radians?
Best answer gets brainliest!!
Helpp ASAP. Due at 11:59 and I don’t understand none of it
Answer:
its 504 ok...........................
Hope It Helps504. If you multiply all the numbers together, you get all the possible combinations of such events
An aquarium tank that measures 2.4 meters high, 6 meters long, and 1.5 meters wide is completely filled with water. The density of water is 1,000 kilograms per cubic meter. What is the mass of the water in the tank?
A:46 kilograms
B.101 kilograms
C.9,900 kilograms
D.21,600 kilograms
Answer:
D.21,600 kilograms
Step-by-step explanation:
The volume of the tank is Length x Width x Height (6*1.5*2.4)
So the volume is 21.6 cubic meters.
Therefore, there are 21.6 cubic meters of water.
The density of water is 1,000 kg per cubic meter. So multiply 1,000 to the number of cubic meters. (1,000*21.6)
The mass of the water in the tank is 21,600 kg
alls arrive at a call center at an average rate of 100/min. Depending on the availability of a service representative, calls may be either answered immediately or wait in line for the next available representative. On average, including waiting time, a call requires 4.4 minutes. How many callers, on average are in the system at any given time
Answer:
the number of callers on average are in the system at any given time is 440
Step-by-step explanation:
Given that
The calls that arrive in a call center have an average rate of 100 per min
But it we involve the waiting time so the call needed 4.4 minutes
We need to to find no of callers are in the system at any given time
SO,
= 100 per min × 4.4
= 440
hence, the number of callers on average are in the system at any given time is 440
The same would be considered
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
How do I solve this?
Answer:
need help too
Step-by-step explanation:
please help i will give 10 points
Answer:
21 feet²
Step-by-step explanation:
To find the area of a composite figure, we can break the shape into pieces and solve for the area separately.
There are multiple ways to separate the figure, but for this explanation we will break it into two rectangles, 5×3 and 3×2.
The area of a rectangle can be found by multiplying the length and width of the shape. So for the left rectangle, we will multiply 5 by 3.
5 · 3 = 15
The area of our first rectangle is 15 ft².
Next, we will find the area of the right rectangle, by multiplying 3 by 2.
3 · 2 = 6
The area of the second rectangle is 6 ft².
Now we can add the areas, 15 and 6, together to find the total area.
15 + 6 = 21
The area of the figure is 21 ft².
I hope this helps ^^ Good luck ∩_∩
What is the coefficient of the 3rd degree
term in this polynomial?
3x2 + x - 2x3 – 10
Answer:
-2
Step-by-step explanation:
[tex]3x^2 + x -2x^3 -10 \\\\3x^2 + x + (-2)x^3 + (-10)[/tex]
Answer:
-2.
Step-by-step explanation:
-2x^3 is the third degree term.
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?
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
How do I write -x + 2y= -4 in slope intercept form
Answer:
ok so slope intercept for is y=mx+b, or y=slope x + y intercept. Sooo it would be y=0.5x-2 :) hope this helps
Step-by-step explanation:
Answer:
y = 1/2 x - 2
Step-by-step explanation:
Slope-intercept form:
y = mx + b
You need to solve for y.
-x + 2y = -4
2y = x - 4
y = 1/2 x - 2
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
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:
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
It is known that the amount of time needed to change the oil on a car is normally distributed with a standard deviation of 5 minutes. The amount of time to complete a random sample of 10 oil changes was recorded and listed here. Compute the 99% confidence interval estimate of the mean of the population.
11 10 16 15 18 12 25 20 18 24
Answer:
(11.605 ; 22.195)
Step-by-step explanation:
11 10 16 15 18 12 25 20 18 24
Sample mean, xbar = Σx / n = 169 / 10 = 16.9
Standard deviation = 5.152 ( using calculator)
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/√n
Df = n - 1 = 10 - 1 = 9
Tcritical at 99%, df =9 = 3.2498
Margin of Error = 3.2498 * 5.152/√10 = 5.2946
Lower boundary :
16.9 - 5.2946 = 11.6054
Upper boundary :
16.9 + 5.2946 = 22.1946
(11.605 ; 22.195)
A digital camera usually costs $700. This week it is on sale at a discount of 20%. What
is the sale price of the digital camera?
Answer:
560
Step-by-step explanation:
So we know that 20% goes into 100% 5 times.
700/5 will give you a clean 140, meaning 20% of the price is 140
Thus 700-140 and you get 560 dollars
If you have a calc you could also do 700 x .80 (since .80 is also equal to 80%) and get the same answer
Length = 4
Width = ?
Area = 60
Answer:
the width is 15
Step-by-step explanation:
Slove It!!! I need help!
Answer:
6 should be the correct answer!
Step-by-step explanation:
all of the work I did, you can ignore these:
1 x 2 = 2
2 x 2 = 4
2 x (2 - 1) = 2 x 1 = 2
2 + 4 = 6
Answer:
The answer is 6
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
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
Consider the following equation. Graph 5x + 6y = 30
PLEASE SHOW STEPS
Answer:
Step-by-step explanation:
Convert the equation into slope-intercept form.
5x-6y =30 Subtract 5x from each side
-6y = -5x + 30 Multiply each term by -1
6y = 5x – 30 Divide each side by 6
y = ⅚x - 5
2. Create a table of different x and y values,
x ⅚x – 5 y
-12 ⅚(-12) – 5 -15
-6 ⅚(-6) – 5 -10
0 ⅚(0) – 5 -5
6 ⅚(6) – 5 0
12 ⅚(12) – 5 5
3. Convert the table to ordered pairs
(-12,-15)
(-6, -10)
(0, -5)
(6, 0)
(12, -5)
4. Plot the points and draw a line through them.
Will give brainliest to first correct answer!! No links!! Help!!
The data below shows the score of some students on a test
21,27,29,20,22,33,23
(Pic attached)
Which box plot represents the data?
Answer:
the top box plot should be the way to go
Answer:
this is the answer
Step-by-step explanation:
I hope it was helpful
B is the answer
1. An object is blasted upward at an initial velocity of 320 ft/s. The height, h(t), of the object is a function of time, t (in seconds), and is given by the formula h(t) = -16t2 + 320t. How long will it take the object the hit the ground after takeoff?
Answer:
20 seconds
Step-by-step explanation:
roots are (0,0) and (20,0) so 20-0 will provide the time from takeoff to landing