To round each number to the nearest tenth, we have to look at the second digit after the decimal point, the hundredths. We look at tenths to round whole numbers, hundredths to round tenths, thousandths to round hundredths, etc. If the digit is 4 or below, then we would round down. If the digit is 5 or up, we would round up.
11.14
The digit is below 5, so we round down to 11.1.
9.543
The digit is also below 5, so we round down to 9.5.
Henceforth, adding these two numbers, we can conclude that an accurate estimation of the sum is 11.1 + 9.5, or 20.6.
If we wanted to round this answer further, we would use the same rounding rule. 20.6, where the tenths place digit, 6, is above 5, would be rounded up to 21.
Many schools have a regular outdoor school one day a week.
At Mosby, they often walk 125 meters from the school to the mountain top Jonsberget (140 masl) which is located directly behind the school.
How high is the school above sea level?
Answer:
The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.
Step-by-step explanation:
Help me with this math function below!!
Six people share 3/8 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Enter your answer in simplest form.
answer=1/4
explanation ; 6divided by 3/8=0.25 which is equal to 25/100 or 25 divides 25 once and divides 100 4 times giving 1/4
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 14 m . Find the area of the shaded region. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
21.07 m²
Step-by-step explanation:
Please find the complete question in the attached image
Area of shaded region = area of rectangle - area of semicircle
Area of semicircle = [tex]\frac{1}{2}[/tex]πr²
π = 3.14
r = radius = 14/2 = 7m
the diameter of the semicircle is 14m , thus the radius would be half of the diameter
(1/2) x 3.14 x 7² = 76.93 m^
Area of a rectangle = length x width
width = radius of semicircle = 7
14 x 7 = 98 m²
Area of shaded region = 98 m² - 76.93 m^ = 21.07 m²
of the pie.
If a person has eaten 2 out of 4 equal pieces of pie, then they have eaten
A. 1/2
B. 1/4
C. 1/3
D. 2/3
PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
Researchers fed mice a specific amount of Aldrin, a poisonous pesticide, and studied their nervous systems to find out why Aldrin causes convulsions. The absolute refractory period, time required for nerves to recover after a stimulus, was measured and varies Normally. The measurements, in milliseconds, for five mice were 2.1, 2.3, 2.3, 2.4, and 2.5.
Part A: Find the mean refractory period and the standard error of the mean. (2 points)
Part B: Calculate a 95% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment. (4 points)
Part C: Suppose the mean absolute refractory period for unpoisoned mice is known to be 2.1 milliseconds. Aldrin poisoning should slow nerve recovery and therefore increase this period. Do the data give good evidence to support this theory? What can you conclude from a hypothesis test? Justify your response with statistical reasoning. (4 points)
Answer:
Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48
Standard deviation = √(summation(x - mean)²/n
n = 6
Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484
Standard deviation = √(0.1484/6
s = 0.16
Standard error = s/√n = 0.16/√6 = 0.065
Part B
Confidence interval is written as sample mean ± margin of error
Margin of error = z × s/√n
Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5
Therefore, z = 3.365
Margin of error = 3.365 × 0.16/√6 = 0.22
Confidence interval is 2.48 ± 0.22
Part C
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 2.3
For the alternative hypothesis,
H1: µ > 2.3
This is a right tailed test
Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.
Since n = 6
Degrees of freedom, df = n - 1 = 6 - 1 = 5
t = (x - µ)/(s/√n)
Where
x = sample mean = 2.48
µ = population mean = 2.3
s = samples standard deviation = 0.16
t = (2.48 - 2.3)/(0.16/√6) = 2.76
We would determine the p value using the t test calculator. It becomes
p = 0.02
Assuming significance level, alpha = 0.05.
Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.
Step-by-step explanation:
I NEED HELP PLS I WILL MARK BRAINLIEST
Answer:
[tex]\approx 11.2\:\mathrm{in}[/tex]
Step-by-step explanation:
The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by [tex]2r\pi\cdot \frac{\theta}{360}[/tex], where [tex]r[/tex] is the radius of the circle and [tex]\theta[/tex] is the angle of the arc.
In this problem, we're given:
[tex]\theta = 40^{\circ},\\r=16[/tex]
Substituting given values, we get:
[tex]2\cdot 16\cdot \pi \cdot \frac{40}{360}=32\pi\cdot \frac{1}{9}\approx \boxed{11.2\:\mathrm{in}}[/tex]
Write this expression in the fewest number of terms: x+3y+2x+10+2y+12
Answer:
3x+5y+22
Step-by-step explanation:
Answer:
3x + 5y + 22
Step-by-step explanation:
Given expression:- x + 3y + 2x + 10 + 2y + 12
Here, you can add all the 'x' terms together and 'y' terms together.
There is an 'x' and '2x'.
On adding them, you get 2x + x equals 3x.
Then add the 'y' terms
There is a '3y' and a '2y'. On adding them, you get 3y + 2y equals 5y.
Then add the numbers that are left. 12 and 10.
12 + 10 equals 22.
Then take all the values we got after addition:- 3x, 5y and 22.
2x, 5y and 22 cannot be added together. So, the expression in the simplified form would be:-
3x + 5y + 221
What is the solution to the equation 4
1 7 1
8 8*3*?
X=-5
X=-4
X=4
x=5
Answer:
im sorry
Step-by-step explanation:
i need points or else i fail
You have 30 minutes to exercise at the gym. The Stairmaster burns 7 calories per minute, while the stationary bike burns 12 calories per minute. You want to burn 290 calories total using both machines. How much time should you spend on each machine?
Answer:
14 min on Stairmaster
16 min on Bike
Step-by-step explanation:
s = time on Stairmaster
b = time on bike
System of Equations:
s + b = 30
7s + 12b = 290
let 's' = 30-b
Substitution Method:
7(30-b) + 12b = 290
210 - 7b + 12b = 290
5b + 210 = 290
5b = 80
b = 16
s + 16 = 30
s = 14
Please help me and show working. I have a test very soon.
Answer:
c = 3
Step-by-step explanation:
Given
[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{c^2-4}[/tex] ← factor the difference of squares
[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{(c-2)(c+2)}[/tex]
Multiply through by (c - 2)(c + 2) to clear the fractions
2(c + 2) - 3(c - 2) = 7 ← distribute and simplify left side
2c + 4 - 3c + 6 = 7
- c + 10 = 7 ( subtract 10 from both sides )
- c = - 3 ( multiply both sides by - 1 )
c = 3
Select all expressions that are equivalent to − 4 ( x + 2 ) − 2 x + 4 .
A; -6x -4
B; -4x + 2 - 2x + 4
C; -10x
D; -4x + -8 - 2x + 4
E; −4x + −8 − 2x + 4
F; -4x - 2x - 8 + 4
Answer:
A), D), E), F).
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).
y =
Answer:
[tex]y=-2x+2[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-1, 4) and (0, 2)
[tex]=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2[/tex]
Therefore, the slope of the line is -2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-2x+b[/tex]
2) Determine the y-intercept
[tex]y=-2x+b[/tex]
Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.
One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.
Plug this back into the equation:
[tex]y=-2x+2[/tex]
I hope this helps!
At an annual teacher’s conference everyone is served tea with their dinner. Let H be the event that a randomly selected participant puts honey in their tea. Let S be the event that a randomly selected participant puts sugar in their tea. Suppose that afteryears of collecting data, the staff of this conference have estimated the following probabilities.P(H) = 0.14 P(S) = 0.65 P(H or S) = 0.73Estimate P(H and S) and interpret this value in the context of the problem.A.P(H and S) = 0.06, The probability that a randomly selected participant puts sugar and honey in their tea is 0.06.B.P(H and S) = 0.06, The probability that a randomly selected participant puts sugar or honey in their tea is 0.06.C.P(H and S) = 0.79, The probability that a randomly selected participant puts sugar and honey in their tea is 0.79.D.P(H and S) = 0.79, The probability that a randomly selected participant puts sugar or honey in their tea is 0.79
Answer:
im looking for the same one :(
Step-by-step explanation:
Please help! If 2 answers I will mark one as the brainliest!!!
Answer: Last one I think
Step-by-step explanation:
A rectangle has a base of 8 yards and a height of 12.1 yards. What is the area?
If there are 4 outcomes, what is the
probability that I get tails then tails?
Answer:
50%
Step-by-step explanation:
because it is a two side coin
HELLP PLZ ZZZZZZ FOR MY HOMEWORK......
Answer:
4 books
Step-by-step explanation:
$3.80 divided by 95cents = 4
Someone please help I’ll give brainliest!!!!
Answer:
move the line up one
Step-by-step explanation:
sooo my sis need this so plz help
Answer:
A. They are both Solutions
Step-by-step explanation:
Answer:
Both are solutions
Step-by-step explanation:
5x8 is less than 52, and so is 5x10
hello please help i’ll give brainliest
Answer:
caste system, they were commonly used to show the groups of people in their social hierarchies
Need HELP ASAP NO LINKS!
Based on this information, which of the following statements is true?
O
A. The data is best modeled with a linear function.
B. The cost per widget will never be greater than $25.
c. The data is best modeled with a quadratic function.
D. The manufacturer should produce as many widgets as possible to minimize
cost.
Answer:
The cost per widget will never be greater than $25
Re-write the quadratic function below in Standard Form
y = 5(x - 5)(x - 4)
SOMEONE PLEASE HELP !!
Answer:
you would have to add them together
Step-by-step explanation:
you add 9pi cm^2 to 1/4
hop this helps kid
Answer:
The radius is 199.85 cm^3
HELP ITS URGENTTTTTTTT
a bag contains 3 black 4 red 3 yellow and2 green marbles. What is the probability of drawing a black and then a red marble out of the bag without replacing the black marble before drawing the red marble?
Answer:
[tex]\frac{1}{11}[/tex]
Step-by-step explanation:
[tex]\frac{3}{12}\cdot \frac{4}{11}[/tex][tex]=\frac{1}{11}[/tex]
Hope this helped! :)
Jane is opening a savings account with an initial deposit of $100. The bank offers a 5%
rate compounded annually. What is the value of the savings account after 1 year?
Answer:
105 dollars after a year
Step-by-step explanation:
I = (100)(0.05)(1)
I = 5
Tyler and Bethany have 240 feet of fencing with which to build a garden. Tyler wants the garden to be in the shape of a square, while Bethany wants it to be rectangular with a length of 50 feet and a width of 70 feet. Which design would give the maximum area for the garden? Explain.
Bethany’s design would give the larger garden because the area would be 3,500 ft2.
Tyler’s design would give the larger garden because the area would be 3,600 ft2.
Bethany’s and Tyler’s designs would give a garden with the same area.
Bethany’s and Tyler’s designs are not possible with the given amount of fencing.
Answer:
Step-by-step explanation:
Tyler's square is going to be 60 feet on each side. That is 3600 square feet.
Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.
A is wrong. A square maximizes the area.
B is correct.
C The areas are not the same. C is wrong.
D is wrong. Both fence proposals work.
Answer:
B is correct
Explanation:
Tyler's square is going to be 60 feet on each side. That is 3600 square feet.
Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.
Hope this helps! :)
Pls help me I have 5 min to do this!!!! PLS PLS PLS PLS PLS NO LINKS!!!! I can’t open them just pls give me the answer idc how you got it LOL. Pls help like real people help :(
Answer:
P(-8,6), Q(-5,2), R(2,1)
I NEED HELP PLEASE!!
Answer:3.38
Step-by-step explanation:
Count, N: 5
Sum, Σx: 18
Mean, μ: 3.6
Variance, σ2: 11.44
Steps
(10 - 3.6)2 + ... + (2 - 3.6)2
5
=
57.2
5
= 11.44
σ = √11.44
= 3.38
Please help:)
this worth 100 POINTS!!
Answer:
I think the second answer
Step-by-step explanation:
I'm late but it's the second answer!