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.
FLIPPIN H E L P
which shows how to solve the equation3/4 x = -6 for x in one step?
a) 3/4 (4/3)x = -6 (4/3)
b) 3/4 (4)x = -6 (4)
c) 3/4 (4)x = -6 (3)
d) 3/4 (4/3)x = -6 (3/4)
How to Write in Digits the fifty five hundredths
Answer:
fifty five hundredths = 0.55
Step-by-step explanation:
Let's use 0.45 as an example. You read this decimal by using the place value of the last digit to the right of the decimal point.
This number is read as forty-five hundredths because the last digit is in the hundredths place.
Hey yall I need help
Evaluate the expression |−35|+|7|−|−5|−|−4|−(−5)
Answer: 38
Step-by-step explanation: i dont know
Answer:
38
Step-by-step explanation:
hey there!
so if you didn't know ll means absolute value
the absolute value of -35 is 35
the absolute value of 7 is 7
the absolute value of-5 is 5
the absolute value of -4 is 4
and -(-5) the two negative signs cancel out to make it +5
now we have 35+7-5-4+5
35+7=42
42-5=37
37-4=33
33+5=38
so the answer would be 38
Pls someone help me you get 75 points for it the picture is above this
Answer:
D. h = 2A/bStep-by-step explanation:
A = 1/2bh2A = bh2A/b = hh = 2A/bCorrect choice is D
A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling less than 3 properties in one week. Round your answer to four decimal places.
Answer:
0.0011 = 0.11% probability of selling less than 3 properties in one week.
Step-by-step explanation:
For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A real estate agent has 17 properties that she shows.
This means that [tex]n = 17[/tex]
She feels that there is a 50% chance of selling any one property during a week.
This means that [tex]p = 0.5[/tex]
Compute the probability of selling less than 3 properties in one week.
This is
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0[/tex]
[tex]P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001[/tex]
[tex]P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011[/tex]
0.0011 = 0.11% probability of selling less than 3 properties in one week.
What is the probability of at least two coins landing on hands?
Answer:
pekpek
Step-by-step explanation:
hahsbshahahdhsjs
Volume!!! will give brainly thing if correct!
please how your work if possible
Answer:
C
Step-by-step explanation:
The picture give you the law of the volume of the pyramid
ILL WILL GIVE THE THE BRAINLIEST GDJFJJD
drag each triangle type to the correct category
Answer:
in order
yes
no
yes
no
no
Step-by-step explanation:
Answer:
Order.
Step-by-step explanation:
Yes.
No.
Yes.
No.
No.
A carpenter has a board that is 4 feet long. He wants to cut it into 3 equal pieces. How many inches long will each piece need to be?
Answer:
16 inches or 1 1/3 foot
Step-by-step explanation:
4 feet = 48 inched
48/3 = 16 inches
How to write
six hundred thirteen trillion, one billion, thirty-five million, two hundred eight thousand, three in standard notation
In AMNO, the measure of 20=90°, MN = 99 feet, and OM = 52 feet. Find the
measure of M to the nearest degree.
Answer:
x = 58 degrees
Step-by-step explanation:
Using the SOH CAH TOA trigonometry identity
hypotenuse =99
adjacent = 52
angle of elevation = x
cos theta = adj/hyp
cos x = 52/99
x = arccos (52/99)
x = arccos(0.5253)
x = 58 degrees ( to the nearest degree)
please help me with these two problems
Problem 1
With mean = median, the data set is symmetrical. Well it's more accurate to say "roughly symmetrical" due to the phrasing "mean is approximately equal to the median". Using the median as its center is fairly common with many distributions, so there isn't an issue here.
The error is from the phrasing "the quartiles should be used to measure the spread". The quartiles themselves don't measure spread. They are simply single data points and do not tell us the spread. If Ralph said Q3 = 75 is a measure of spread, then he would be incorrect. However, the difference between the third and first quartile will help get the IQR (interquartile range), as described by this equation below
IQR = Q3 - Q1
and this is one tool to measure how spread out data is. The larger the IQR is, the more spread out the data will be.
The IQR is how far of a gap it is from Q1 to Q3. Another tool to measure spread is the standard deviation. Ralph was probably thinking about the IQR when he mentioned the quartiles, but he should be more specific about what he means.
=======================================================
Problem 2
Answer: Skewed left
This is the same as saying "negatively skewed"
---------------
Explanation:
The main cluster of values is on the right side, while a small portion of values are to the left. We consider this the left tail and the left tail is pulled longer compared to the right tail. The further left we go, the shorter the bar and eventually we hit outliers. These much smaller outliers compared to the main cluster pull on the mean to make it smaller than it should be.
One example could be that this curve represents test scores. The majority of the class could get in the range of say 70 to 90. Then there's the unfortunate few outliers who scored much lower (possibly 40 through 60); those outlier scores pull down the mean grade of the class overall.
In short, negatively skewed data indicates that mean < median.
if a shuttle can go 28,000km per hour, how long will it take for the shuttle to go 1,277,127,530 km?
The line passes through (0,4) and (6,6), so the slope is
Answer:
1/3
Step-by-step explanation:
Shakira se presentará en la Ruta del Vino, y para ello su anuncio ha aparecido en un espectacular por la Avenida Reforma, si la letra A aparece en el letrero, y el ángulo en la parte superior de la letra es de 40° y su base es de 60 cm, ¿cual es la altura de la letra?
Answer:
82.4 cm
Step-by-step explanation:
The computation of the height is given below:
As we know that each right triangle contains the top angle of 20 degrees
So, the right angle & the bottom corner angle equivalent to
= 180 - 90 - 20
= 70 degrees
Now the height is
tangent = opposite leg ÷ adjacent leg
tan (70°) = height ÷ 30 cm
height = 30 cm × tan (70°)
= 82.4 cm
Which rule describes the x-coordinates in the translation below?
Answer:
It's either x-6 or x+6 I wanna say that it is x-6 because they moved the shape down, but it could also have been moved up. I was assuming that the green one was the original, which would make the answer x-6.
Step-by-step explanation:
Answer:he is wiring the answer would be x+6 and the bike is the original because it does not have primes on the numbers
Step-by-step explanation:learn your mad bro
Some biology students were checking eye color in a large number of fruit flies. For the individual fly, suppose that the probability of white-eyes is 1/4 and the probability of red-eyes is 3/4. We may treat these observations as independent Bernoulli trials. what is the probability that at least 3 flies have to be checked for eye color to observe a white-eye fly?
Answer:
0.5625 = 56.25% probability that at least 3 flies have to be checked for eye color to observe a white-eye fly.
Step-by-step explanation:
A sequence of independent Bernoulli trials is the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
What is the probability that at least 3 flies have to be checked for eye color to observe a white-eye fly?
This is the probability of no white-eyes during the first two flies, that is, [tex]P(X = 0)[/tex] when [tex]n = 2[/tex]
Probability of white-eyes is 1/4
This means that [tex]p = \frac{1}{4} = 0.25[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.25)^{0}.(0.75)^{2} = 0.5625[/tex]
0.5625 = 56.25% probability that at least 3 flies have to be checked for eye color to observe a white-eye fly.
12. 14.5% of 90 is n. The value of n is 15.
Answer:14.5% of 19 is 13.05, so the value of n would actually be 13.05
A 10-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 9 feet per second, at what rate is the area of the triangle formed by the wall, the ground, and the ladder changing, in square feet per second, at the instant the bottom of the ladder is 6 feet from the wall
Answer:
The area is changing at 15.75 square feet per second.
Step-by-step explanation:
The triangle between the wall, the ground, and the ladder has the following dimensions:
H: is the length of the ladder (hypotenuse) = 10 ft
B: is the distance between the wall and the ladder (base) = 6 ft
L: the length of the wall (height of the triangle) =?
dB/dt = is the variation of the base of the triangle = 9 ft/s
First, we need to find the other side of the triangle:
[tex]H^{2} = B^{2} + L^{2}[/tex]
[tex] L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}} [/tex]
Now, the area (A) of the triangle is:
[tex] A = \frac{BL}{2} [/tex]
Hence, the rate of change of the area is given by:
[tex] \frac{dA}{dt} = \frac{1}{2}[L*\frac{dB}{dt} + B\frac{dL}{dt}] [/tex]
[tex] \frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}] [/tex]
[tex]\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}][/tex]
[tex]\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9][/tex]
[tex]\frac{dA}{dt} = 15.75 ft^{2}/s[/tex]
Therefore, the area is changing at 15.75 square feet per second.
I hope it helps you!
The rate of change (ROC) of the area with respect to (w.r.t.) time can be
found from the ROC of the area w.r.t. x and the ROC of x w.r.t. time.
At the time the ladder is 6 feet from the wall, the area is increasing at 15.75 ft.²/sec.Reasons:
The length pf the ladder = 10 feet
Rate at which the ladder is pulled from the wall, [tex]\displaystyle \frac{dx}{dt}[/tex] = 9 feet per second
Required:
The rate at which the area of the triangle formed by the ladder, the wall
and the ground, is changing at the instant the ladder is 6 feet from the wall.
Solution:
The area the triangle, A = 0.5·x·y
Where;
x = The distance of the ladder from the wall
y = The height of the ladder on the wall
By Pythagoras's theorem, we have;
10² = x² + y²
Which gives;
y = √(10² - x²)
Therefore;
The area the triangle, A = 0.5 × x × √(10² - x²)
By chain rule, we have;
[tex]\displaystyle \frac{dA}{dt} = \mathbf{\frac{dA}{dx} \times \frac{dx}{dt}}[/tex]
[tex]\displaystyle \frac{dA}{dx} = \frac{d\left(0.5 \cdot x \cdot \sqrt{10^2 - x^2} }{dx} = \mathbf{\frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100}}[/tex]
[tex]\displaystyle \frac{dA}{dx} = \frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100}[/tex]
Therefore;
[tex]\displaystyle \frac{dA}{dt} = \mathbf{\frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100} \times 9}[/tex]
When the ladder is 6 feet from the wall, we have;
x = 6
[tex]\displaystyle \frac{dA}{dt} = \frac{\left(6^2 - 50\right) \cdot \sqrt{100-6^2} }{6^2-100} \times 9 = \mathbf{15.75}[/tex]
At the time the ladder is 6 feet from the wall, the area is increasing at 15.75 ft.²/sec.
Learn more about chain rule of differentiation here:
https://brainly.com/question/20341047
4 children was picking pears in their grandparents orchard.they had each picked the same number of pears by lunch time,when their grandpa gave them each 6 more pears now the 4 kids had 80 pears in all. How many pears did each child have before grandpa have them more?
Please help I don’t understand
Question 5 (5 points)
✓ Saved
(06.02 LC)
A scatter plot is shown:
Which graph best represents the line of best fit for this scatter plot? (5 points)
Answer:
I would say the answer is 2
Step-by-step explanation:
Select the two pairs that are similar!
It's the rectangle and squares(answer)
Step-by-step explanation:
Squares can be rectangles but rectangles cant be squares.
Reflection across y=3
The reflected coordinates of the triangle along y = 3 are X'(0, - 1), U'(3, - 1) and L'(3, - 5).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, a triangle is reflected along y = 3.
First, the coordinates (x, y) of the triangle are X(0, 5), U(-3, 5) and L(-3, 1).
We know reflected along the y-axis is (-x, y) so reflection along y = 3 is
(-x, y - 2×3).
∴ X'(0, - 1), U'(3, - 1) and L'(3, - 5).
learn more about reflection here :
https://brainly.com/question/15487308
#SPJ2
I have a cage with cats and birds. there are 12 heads and 32 feet. how many
birds are there
12x4=48
48-32=16
4-2=2
16 divided by 2=8 birds
Answer:
4 cats, 8 birds
Step-by-step explanation:
make a system of equations and solve.
Can someone please find the areas of these shapes? I've been having a hard time with trying to figure them out.
Katie earns $0.50 each time she does a chore. She does some chores. Then she gets $6 for her birthday. How much money does she have?
Answer:
First I need to know how much chores she does because I can't get the money that she makes with the word SOME I need to know how many chores she makes.
Step-by-step explanation:
I need help with this right now before it’s due
Grapes
Answer:
21, 6, 12
Step-by-step explanation:
your welcome:)
The phenomenon of bottle flipping has hit the nation. You design a machine that can randomly flip a bottle. You observe 2180 random, independent flips, and 325 land the correct way. Estimate the overall proportion of bottles that land correctly when flipped randomly. Use a 98% confidence level. Round everything to 3 decimal places. a) State the parameter of interest. Verify that the necessary conditions are present in order to carry out the procedure.
Answer:
The variable of interest is the proportion of flips that land the correct way when flipped randomly.
The necessary conditions [tex]n\pi \geq 10[/tex] and [tex]n(1-\pi) \geq 10[/tex] are present.
The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).
Step-by-step explanation:
Variable of Interest:
Proportion of flips that land the correct way when flipped randomly.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Necessary conditions:
The necessary conditions are:
[tex]n\pi \geq 10[/tex]
[tex]n(1-\pi) \geq 10[/tex]
You observe 2180 random, independent flips, and 325 land the correct way.
This means that [tex]n = 2180, \pi = \frac{325}{2180} = 0.149[/tex]
Necessary conditions
[tex]n\pi = 2180*0.149 = 325 \geq 10[/tex]
[tex]n(1-\pi) = 2180*0.851 = 1855 \geq 10[/tex]
The necessary conditions [tex]n\pi \geq 10[/tex] and [tex]n(1-\pi) \geq 10[/tex] are present.
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.33[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.149 - 2.33\sqrt{\frac{0.149*0.851}{2180}} = 0.131[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.149 + 2.33\sqrt{\frac{0.149*0.851}{2180}} = 0.167[/tex]
The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).
Find a function for the graph below
Answer:
d
Step-by-step explanation:
gfstikuhbbcwdjonngbb1519360
Answer:
D
Step-by-step explanation:
I took multivariable calculus in hs
