Answer:
20 There are 15 boys and 20 girls.
A news report states that the 95% confidence interval for the mean number of daily calories consumed by participants in a medical study is (1850, 2090). Assume the population distribution for daily calories consumed is normally distributed and that the confidence interval was based on a simple random sample of 22 observations. Calculate the sample mean, the margin of error, and the sample standard deviation based on the stated confidence interval and the given sample size. Use the t distribution in any calculations and round non-integer results to 4 decimal places.
Answer:
The sample mean is of 1970 daily calories.
The margin of error is of 120 daily calories.
The sample standard deviation is of 12.3 daily calories.
Step-by-step explanation:
Mean number of daily calories consumed by participants in a medical study is (1850, 2090).
The sample mean is the mean of the bounds of the confidence interval. So
[tex]M = \frac{1850 + 2090}{2} = 1970[/tex]
The sample mean is of 1970 daily calories.
Margin of error:
The margin of error is the difference between the bounds and the sample mean. So
2090 - 1970 = 1970 - 1850 = 120
The margin of error is of 120 daily calories.
Sample standard deviation:
Now I have to expand a bit into the t-distribution. So
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 22 - 1 = 21
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.08
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample.
Since [tex]M = 120, T = 2.08, n = 22[/tex]
[tex]120 = 2.08\frac{s}{\sqrt{22}}[/tex]
[tex]s = \frac{120}{2.08\sqrt{22}} = 12.3[/tex]
The sample standard deviation is of 12.3 calories.
Find the area and perimeter of the polygons formed by the algebra tiles below: area: y X perimeter: 1 area: perimeter: 2
Answer:
The answer is below
Step-by-step explanation:
a)
The area of the figure = sum of the area of the individual polygons
The area of the figure = x + 1 + y + 1 + x = 2x + y + 2
The perimeter of the figure = sum of the length of the sides = 2(1 + (x + 1 + y + 1 + x)) = 2(2x + y + 3) = 4x + 2y + 6
b)
a)
The area of the figure = sum of the area of the individual polygons
The area of the figure = y² + xy + 1 + 1 + 1 = y² + xy + 3
The perimeter of the figure = sum of the length of the sides = (y + 1) + x + y + (y + 1) + y + 1 + 1 + 1 + x + 1 = 4y + 2x + 6
assume that of today, the aanualized interst rate on a three year security is 10 % and the annualized interest rate on a two year security is 7%. use this information to estimate the one year forward rate two years from now
Answer:
The shoes belonging to my three uncles are always dirty.
Can you help me image is here which 2 Should I drag
Answer:
for 6, you drag 36. for 7, you drag 42.
Step-by-step explanation:
It is using time tables by x6
Cos 20°. Cos10°+cos20°. Cos80°
....................
PLLLLLLLLLLLEEEEEEEEEEEEEEEzzzZZzZzZZZZZzzzzZZZZ HEEEEEEEEEEEEEEEELLLLLLLLLLLPPPPPPPPP ASAP
Answer:
there is no question my man
Answer:
With what?
Step-by-step explanation:
find the area of the kite please. image included!!!
Help me plsssssss 2 1/2 x 3
Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the vertices of the rectangle are located at (2, 1), (2, 4) and (4.4). a What are the coordinates of the fourth vertex of the rectangle? b. What are the dimensions of the rectangle? c What is the area of the rectangle?
You have 2 points with the same x value of 2 and 2 points with the same y value of 4.
You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.
The missing point would need to be (4,1)
The width would be x2-x1 = 4-2 = 2 units
The length would be y2-y1 = 4-1 = 3 units
Area = 3x 2 = 6 square units
pls help i dont get it
Help! See the question below!
Can anyone help me on this please
Answer:
Step-by-step explanation:
Help me with number
4,5,6,7
Answer
number
4.D
5.B
6.C
7.BHopes this helpI need help please anyone can help me???!
2x(x-1) = 2x - 2
Step-by-step explanation:
a thing my math teacher always taught that sticks is that the equals sign is essentially the words is the same as. Think of it this way the sentaxe would be 2x -2 is the same as 2x minus 2. we get this because initially with the parentheses we have to take the number outside which is 2 and multiply everything inside by it. 2 times x equals 2x and 2 times -1 is negative 2.
please help me out ~ 20 points
Answer:
12.5 sq. units
Step-by-step explanation:
Area of a Trapezoid Formula: (see the image attached)
7.5 + 2.5 = 10
10/2 = 5
5(2.5) = 12.5
So, the area of the trapezoid is 12.5 sq. units.
True or false: As long as its argument is restricted to [0,2pi] the polar form of a complex number is not unique.
Some say its true, some say its false. I'm sure one of the answers I looked at is correct, but some teachers probably purposefully left a one star
Answer:
true
Step-by-step explanation:
i think
which pare of numbers has a sum of 100 (this is her sis) (:
Answer:
50+50
25+25+25+25
20+20+20+20+20.
Jordyn is weighing the ingredients on a kitchen scale to make bread. The bowl weighs 1 12 pounds. He adds several scoops of flour. the total weight of the bowl and the flour is 2 34 pounds. If each cup weighs 516 pound, how many cups of flour does he add?
Answer:
4 POUNDS OF FLOUR
Step-by-step explanation:
The number of cups of flour he added is 4.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Bowl weight = 1(1/2) pounds
Number of cups of flour weight = x pounds
Now,
Total weight = 2(3/4) pounds
1(1/2) + x = 2(3/4)
x = 11/4 - 3/2
x = (11 - 6)/4
x = 5/4
Now,
Weight of each cup of flour = 5/16 pounds
Now,
The number of cups of flour.
= 5/4 ÷ 5/16
= (5 x 16) / (4 x 5)
= 4
Thus,
The number of cups of flour is 4.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
PLSSSSSS HELLPPPPPPPPPPP
What is the total surface area of the square pyramid whose net is shown below?
400 in^3
1200 in^3
800 in^3
1600 in^3
Answer:
400+1200
1600inches^2
Grace has a rectangular rug with an area of 180 square feet. The rug is 6 feet longer than four times the width. Write an equation and solve it to find the dimensions. Grace then adds 1.5 foot border all the way around the rug. What is the area of the enlarged rug?
12. Nitrogen is a gas at certain temperatures under normal conditions. These temperatures (1), in degrees
Celsius (°C), are represented by the inequality 1. Which best describes the meaning of the inequality?
A. Nitrogen is a gas only if the temperature is below 100G.
B.Nitrogen is a gas only if the temperature is above 195 c.
C.Nitrogen is a gas only if the temperature is at or below 196°C.
D.Nitrogen is a gas only if the temperature is at or above 190C.
Please help with this math question!
Find the area . I'm begging
Answer:
274.05 (I assume they round it to A. 274.1)
Step-by-step explanation:
The figure seems to be comprised of 7 triangles, each of base 8.7 and height 9.
total area would be
7 * (8.7 * 9 / 2) = 7 * 39.15 = 274.05
How many solutions does y=3/4 x + 12 y= 4/3 x have
Answer:
all you have to do is use Desmos graphing calculators and there you go you will thank me later
Find the value of the ratio x over y if the equation is 5x²-13xy+8y²=0
Answer:
[tex]\frac{x}{y} = \frac{8}{5}[/tex]
Step-by-step explanation:
Given
[tex]5x^2 - 13xy + 8y^2 = 0[/tex]
Required
Find x/y
[tex]5x^2 - 13xy + 8y^2 = 0[/tex]
Expand
[tex]5x^2 -5xy - 8xy + 8y^2 = 0[/tex]
Factorize:
[tex]5x(x - y) - 8y(x - y) = 0[/tex]
Factor out x - y
[tex](5x - 8y)(x - y) = 0[/tex]
Divide both sides by [tex](x-y)[/tex]
[tex]5x - 8y = 0[/tex]
Add 8y to both sides
[tex]5x = 8y[/tex]
Divide both sides by 5
[tex]x = \frac{8}{5}y[/tex]
Divide both sides by y
[tex]\frac{x}{y} = \frac{8}{5}[/tex]
Will give brainliest answer please help
Answer:
[tex]a^{2}(24a^{2}+36a+12)[/tex]
Step-by-step explanation:
Area of rectangle= Length*Width
so [tex](6a^{2}+9a+3)*4a^{2}[/tex] multiply each coefficient of a times 4a^2
[tex]24a^{4}+36a^{3}+12a^{2}[/tex] then take a^2 common factor so it will be
[tex]a^{2}(24a^{2}+36a+12)[/tex]=area
need help geometry question central angles and arcs??
Answer:
I think the answer may be 140°
360 - 160 - 60 = 140
need help for geometry question
Answer:
Step-by-step explanation:
sin^-1 (21/67) = 18.27 degrees
√(67)^2 - (21)^2 = 63.62
write equations for lines
y=mx+b
y-y1=m(x-x1)
Ax+By= C
An electrical shop reduces display goods by 5% .A display TV is sold for £380. what is the usual price of the tv
Answer:
380-5%
Step-by-step explanation:
Answer:
£399
Step-by-step explanation:
personally its easier to find 1% first then multiply it by how many percent are needed to be found.
380/100=1%
380/100=3.8
3.8x5=5%
3.8x5=19
380+19=usual price
380+19=199
make sure to show how you got your answer
Answer: 0.075
Step-by-step explanation: when you are working with percentages to decimals you want to move the decimal two places to the left. If you are working with decimals and you want to make it a percentage you would move the decimal two places to the right.
Answer:
7.5% = 0.075
Step-by-step explanation:
Whenever you're converting a percentage into a decimal, you multiply the percentage by 100, or move the decimal point two points to the left. So, 7.5% as a decimal is 0.075.