Answer:
0.02
Step-by-step explanation:
5/69.12=0.0723
3/69.12=0.0434
0.0723-0.0434=0.0289
=0.02
A sample of n = 4 scores is selected from a normal population with μ = 30 and σ = 8. The probability of obtaining a sample mean greater than 34 is equal to the probability of obtaining a z-score greater than z = 2.00.
Answer:
False
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
[tex]\mu = 30, \sigma = 8[/tex]
Sample of 4
This means that [tex]n = 4, s = \frac{8}{\sqrt{4}} = 4[/tex]
Probability of obtaining a sample mean greater than 34:
This is 1 subtracted by the p-value of Z when X = 34. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{34 - 30}{4}[/tex]
[tex]Z = 1[/tex]
Thus, the probability of obtaining a sample mean greater than 34 is equal to the probability of obtaining a z-score greater than z = 1.00, and the statement in this question is false.
Paul bakes raisin bars in a pan shaped like a rectangular prism. The volume of the pan is 480 cubic inches. The
HURRY PLEASE
length of the pan is
12 inches, and its width is 10 inches
V = 480 in^3
h = ?
12 in
10 in
What is the height of the pan?
Enter your answer in the box
in inches
Answer:
The height of the pan is 4 in.
Step-by-step explanation:
Destiny has borrowed $8 from 7 different friends. Write an integer that
represents Destiny's total debt to her friends.
Answer:
56
Step-by-step explanation:
7×8=56
Hope this helps! :)
¿ que pasa si no hubieran plantas ?
Answer:
entonces no habria oxigeno
Step-by-step explanation:
will give BRAINLEST! See image attached below.
Answer:
See the image below for answer:)
Step-by-step explanation:
Answer:
B. (1 ± sqrt(33)) / 4
Step-by-step explanation:
the 2 solutions for a quadratic equation
ax² + bx + c = 0
are defined as
x = (-b ± sqrt(b² - 4ac)) / 2a
in our example here we have
a = -2
b = 1
c = 4
=>
x = (-1 ± sqrt(1 + 32)) / -4 = (1 ± sqrt(33)) / 4
as we can easily divide top and bottom by -1 to turn the -1 and -4 into positive numbers, and the second top part, the square root, is a ± factor anyway. just withing the sign dues not change the fact that is is still a ± factor (both signs apply).
and now it is clear, it has to be option B.
the others disqualify because they have either no division by any form of 4, or the "1" and the "4" have different signs. but our equation shows they need to have equal signs (either both negative or both positive).
In 2009, a diabetic express company charged $38.85 for a vial of type A insulin and $30.34 for a vial of type B insulin. If a total of $1695.71 was collected for 50 vials of insulin, how many vials of each type were sold?
The number of vials of type A insulin sold were ___ and the number of vials of type B insulin sold were ____
Answer:
The number of vials of type A insulin sold were _21__ and the number of vials of type B insulin sold were __29__.
Step-by-step explanation:
Let a = number of type A vials.
Let b = number of type B vials.
38.85a + 30.34b = 1695.71
a + b = 50
38.85a + 30.34b = 1695.71
(+) -38.85a - 38.85b = -1942.50
---------------------------------------------------
-8.51b = -246.79
b = 29
a + b = 50
a + 29 = 50
a = 21
Answer: The number of vials of type A insulin sold were _21__ and the number of vials of type B insulin sold were __29__.
A skateboarding ramp is 13in. high and rises at an angle of 13°. How long is the base of the ramp? Round to the nearest inch.
===========================================================
Explanation:
The diagram is shown below. We know the vertical part of the triangle is 13 inches, which is the side opposite the reference angle 13 degrees. The adjacent side is unknown. We'll call it x. This is how long the base of the ramp is, which is the horizontal distance along the entire ramp. This distance is on the ground. The ramp itself is the hypotenuse but it seems like your teacher isn't wanting to know this value. So we'll ignore the hypotenuse.
We'll use the tangent rule to connect the opposite and adjacent sides.
tan(angle) = opposite/adjacent
tan(13) = 13/x
x*tan(13) = 13
x = 13/tan(13)
x = 56.309186365694
x = 56 inches is the approximate horizontal distance underneath the ramp
The base of the ramp is 57 inches long.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The tangent function relates the opposite side (height) and adjacent side (base) of a right triangle to the angle of elevation.
We know the opposite side is the height of the ramp, which is 13 inches, and the angle of elevation is 13 degrees.
Let the adjacent side (the base of the ramp) be "x".
The tangent of 13 degrees is equal to the opposite side divided by the adjacent side:
tan(13) = 13/x
To solve for x, we can multiply both sides by x:
x × tan(13) = 13
Then, we can divide both sides by tan(13):
x = 13 / tan(13)
x = 13 / 0.228
x= 56.99
Therefore, the base of the ramp is 57 inches long.
To learn more on trigonometry click:
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what is the significance of triangular design in a scissor,compass,seesaw..give five sentences
Answer:
Triangles have two meanings depending on their position. When pointing up, they represent stability and power, when pointing down they become unstable. The triangle is primarily a masculine shape, but when inverted it also represents female reproduction. Triangles possess a number of key advantages that make them ideal for both architects and curious students. The strength of a triangle derives from its shape, which spreads forces equally between its three sides.
Step-by-step explanation:
36 and 60 as ratio //////// do not mind what I'm going to type on this sidehdshhdsdhdshjhsjdhsdhjd
36:60
= 18:30
= 9:15
= 3:5
please answer question 9 and 11
Answer:
9) 5888
11) ?
Step-by-step explanation:
9) Formula = l x w x h / 3
16 * 24 * 46 / 3 = 5888
Volume = 5888, no units
I can't help with 11, im confused, sorry but hope it helps.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Michelle is a financial analyst who works 47.75 hours a week. Michelle earns $27 per hour as a financial analyst, and her
overtime pay rate is time-and-a-half. If full-time employment is considered 40 hours per week, how much does Michelle
earn each week? Round to the nearest penny.
O $1,353.78
$1,393.88
$1,423,68
o $1.453.68
9514 1404 393
Answer:
(b) $1,393.88
Step-by-step explanation:
For each overtime hour, Michelle is paid for 1.5 hours. That is we can figure her pay as though she worked straight time for ...
47.75 hours + (7.75 hours)/2 = 51.625 hours
That pay is ...
(51.625 h)($27/h) = $1393.88
10) Using Limit Comparison Test (LCT), the following series
+00
M:
-1 + 2n5
n6 + 1
n=1
Compare to the divergent series,
[tex]\displaystyle\sum_{n=1}^\infty\frac1n[/tex]
Then by the limit comparison test, the given series also diverges, since the limit
[tex]\displaystyle\lim_{n\to\infty}\frac{\frac{2n^5-1}{n^6+1}}{\frac1n} = \lim_{n\to\infty}\frac{2n^6-n}{n^6+1}=\lim_{n\to\infty}\frac{2-\frac1{n^5}}{1+\frac1{n^6}}=2[/tex]
is positive and finite.
Michael and Sondra are mixing lemonade. In Michael’s lemonade, the ratio of lemons to water is 1:4. In Sondra’s lemonade, the ratio of lemons to water is 2:6. Several equivalent ratios for each mixture are shown in the ratio tables.
Michael
Lemons
Cups of Water
1 4
3 12
4 16
Sondra
Lemons
Cups of Water
2 6
4 12
6 18
Imagine that you want to compare Michael’s ratio to Sondra’s ratio. Which two ratios in the tables shown have a common denominator you could use to compare?
Answer:
1/4= 3/12 & 2/6 = 4/12
Step-by-step explanation:
Answer:
Its simply B
Step-by-step explanation:
If we are to express both ratios in their simplest form, we will have the ratio of Michael’s lemonade is 1:4 and that of Sondra is 1:3. The denominator that can be used in order to compare the ratios is that which can be divided by both ratios. For example, we have 12 as a denominator. The ratios can be expressed as 3/12 and 4/12. Also, the denominator can be 24 such that the ratios can be expressed as 6/24 and 8/24.
Given that P(x) = 2W/W+1 + W-4/2W-3 , evaluate p(0)
Answer:
5
Step-by-step explanation:
jnjknmnj
Ariana invested $400 in an account paying an interest rate of 3.8% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 11 years?
Solve for 2. Round to the nearest tenth of a degree, if necessary.
L
90
K
80
J
Answer:
41.6
Step-by-step explanation:
got it wrong and it showed me the right answer
PLS HELP IM BEING TIMEDWhich of these statements is true? A) 349 > 456 B) 456 < 792 792 < 456 D) 792 > 863
Answer:
B
Step-by-step explanation:
792 is a bigger number than 456
Answer: B
Step-by-step explanation: 792 is larger than 456
In ΔFGH, the measure of ∠H=90°, FH = 8, OF = 17, and HG = 15. What ratio represents the sine of ∠G?
Answer:
[tex]\sin(G) = \frac{8}{17}[/tex]
Step-by-step explanation:
Given
[tex]\angle H = 90^o[/tex]
[tex]FH = 8[/tex]
[tex]GF = 17[/tex]
[tex]HG = 15[/tex]
See attachment for illustration
Required
The ratio of [tex]\sin(G)[/tex]
[tex]\sin(G)[/tex] is calculated as:
[tex]\sin(G) = \frac{Opposite}{Hypotenuse}[/tex]
From the attachment, we have:
[tex]\sin(G) = \frac{FH}{GF}[/tex]
This gives:
[tex]\sin(G) = \frac{8}{17}[/tex]
i need help with this one plz! (marking BRAINLIST) :)
Answer:
cosθ = 7/25
Step-by-step explanation:
To find hypotenuse, you use Pythagorean's Theorem.
a^2+b^2=c^2
7^2+24^2=c^2
625=c^2
25=c
This means cosθ = 7/25
Quantitative - Column chart
Quantitative - Line chart
Qualitative - Histogram
Qualitative - Pie chart
Answer:
A. Qualitative - Column chart
Step-by-step explanation:
Data could either be qualitative or quantitative. Quantitative data are usually given in a definite number, i.e it can be counted. While qualitative deals with characteristics, i.e it can be collected either by the use of questionnaires, or any similar method.
Therefore for the given question, the data survey is qualitative. And since the result would be presented as a graph showing the percentage users for each application, a column chart would be appropriate.
Thus for the data and its presentation, the answer is A. Quantitative - Column chart
What is the value of this number in decimal form?
Five and three hundred eight thousandths.
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer: yes yes no yes yes no
Step-by-step explanation:
Wanda listed these facts about parallelograms.
Opposite angles are equal to each other.
Adjacent sides may have different lengths.
There are exactly two sets of parallel sides.
Both pairs of opposite sides have the same length.
Which One is correct
Answer:
there are exactly two sets of parallel sides
Which graph shows the point (-4, 0)?
Answer:
Graph C is the correct answer
Step-by-step explanation:
Hope this helps and,
let me know if it was correct.
Can someone answer the question?
Answer:
[tex]\frac{\sqrt{3} }{3} }(cos(\frac{19\pi}{12})+isin(\frac{19\pi}{12}))[/tex]
Step-by-step explanation:
Division of complex numbers in polar form is [tex]z_1/z_2=\frac{r_1}{r_2}cis(\theta_1-\theta_2)[/tex] where [tex]z_1[/tex] and [tex]z_2[/tex] are the complex numbers being divided, [tex]r_1[/tex] and [tex]r_2[/tex] are the moduli, [tex]\theta_1[/tex] and [tex]\theta_2[/tex] are the arguments, and [tex]cis[/tex] is shorthand for [tex]cos\theta+isin\theta[/tex]. Therefore:
[tex]\frac{9(cos(\frac{11\pi}{6})+isin(\frac{11\pi}{6})) }{3\sqrt{3}((cos\frac{\pi}{4})+isin(\frac{\pi}{4})) }[/tex]
[tex]\frac{9}{3\sqrt{3} }cis(\frac{11\pi}{6}-\frac{\pi}{4})[/tex]
[tex]\frac{\sqrt{3} }{3} }cis(\frac{19\pi}{12})[/tex]
[tex]\frac{\sqrt{3} }{3} }(cos(\frac{19\pi}{12})+isin(\frac{19\pi}{12}))[/tex]
f(x)=[tex]\frac{3}{x+2}[/tex]-[tex]\sqrt{x-3}[/tex]
f(x) = 3/x+2 - √x - 3
We can put any value of x so, let x be 3f(3) = 3/3 + 2 - √3 - 3
f(3) = 3/3 + 2 - √0
f(3) = 3/5 - 0
f(3) = 3/5
You can let x be any value of your choice.
PLEASE HELP ME!!!
A bag contains 10 marbles. Four of
them are red, three blue, two white,
and one yellow. A marble is drawn at
random. What is the probability that it
is not white? Be sure to reduce.
[? ]
Answer:
4/5
Step-by-step explanation:
There are a total of 10 marbles. Out of those 10 marbles, 8 of them are NOT white. Therefore, the probability of getting a marble that is not white is 8/10 = 4/5.
The probability that a randomly drawn marble is not white is 4/5.
To find the probability that a randomly drawn marble is not white, we need to determine the number of non-white marbles and divide it by the total number of marbles.
In the given bag, there are 10 marbles in total, and 2 of them are white. Therefore, there are 10 - 2 = 8 non-white marbles.
The probability of drawing a non-white marble can be calculated as:
Probability = Number of non-white marbles / Total number of marbles
= 8 / 10
= 4 / 5
Therefore, the probability that a randomly drawn marble is not white is 4/5.
Learn more about the probability here:
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I’ll mark you as brainliest
Step-by-step explanation:
1) 6s^2
(s mean the length of each side, s=7)
= 6x7^2
= 294
2) 2(3)(2)+2(1)(2)+2(3)(1)
（l=length, w=wide, h=height)
= 12+4+6
= 22
3) 4(π)12^2
(r=radius)
= 576
Determine if the data of described below is quantitative or qualitative. Explain. Voltage measurements from your home
the ratio of berries to oranges is 10:1 if there are 25 oranges, how many berries are there?
Answer:
250 berries
Step-by-step explanation:
berries : oranges
10 1
We have 25 oranges so we need to multiply each side by 25
berries : oranges
10*25 1*25
250 25
There are 250 berries
