The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
What is the empirical rule?If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.
It is given that:
The heights of a large population of ostriches are normally distributed.
The percentage of these heights that is within 3 standard deviations of the mean
As we know from the empirical rule:
It is the rule of 68-95-99.7.
From the data given in the question:
The height of a large population of ostriches is normally distributed.
So,
X ~ (u, б²)
Normal distribution.
P{u - 3б < X < u + 3б}
From the distribution table:
P{u - 3б < X < u + 3б} = 99.7%
Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
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9. Sara and Yusuf's grandmother gives them money for Christmas every year. They share the money in the
ratio of their ages. This year their grandmother gave them R1 500 together. Sara received R675. They are both younger than 18 years old. Determine how old Sara and Yusuf are.
in
Answer:
Sara is 9 years old while Yusuf's is 11 years old
Step-by-step explanation:
The given parameters are;
The ratio Sara and Yusuf share the money they receive = The ratio of their ages
The amount Sara and Yusuf received from their grandmother this year = R1,500
The amount of money Sara receives = R675
Therefore, the amount of money Yusuf receives = R1,500 - R675 = R825
Let 'x', and 'y' represent the ages of Sara and Yusuf
Therefore, the ratio of their ages, x/y = R675/R825) = 9/11
x·11 = y·9
x, and y < 18
When x = 9, y = 11, we get;
9·11 = 11·9
Therefore a possible solution is Sara's age = x = 9 and a possible solution for Yusuf's age, y = 9
Which statement accurately describes the graph 2y=4x+8?
IM IN A TEST HURRY PLEASE!!
The statement which describes the given line the best is required.
The correct statement is an increasing line that passes through [tex](0,4)[/tex]
Equation of linesThe given equation is [tex]2y=4x+8[/tex]
Two points of the line are
[tex]x=0[/tex]
[tex]2y=0+8\\\Rightarrow y=4[/tex]
[tex](0,4)[/tex]
[tex]y=0[/tex]
[tex]0=4x+8\\\Rightarrow x=-2[/tex]
[tex](-2,0)[/tex]
The line passes through points [tex](0,4),(-2,0)[/tex]
The slope intercept form of the line is
[tex]y=\dfrac{4x+8}{2}\\\Rightarrow y=2x+4[/tex]
The slope is [tex]2[/tex]
Since, the slope is positive the line is increasing.
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bobs gift shop sold 350 cards for mothers day one saleman henry sold 4% of the cards sold for mothers day how many cards did henry sell?
Answer:
14
Step-by-step explanation:
4% of 350 is 14 so he only sold 14
Which group of data isbthe most clustered? A 76,84,86 B 5,8,7,11,14,8 C 25,50,50,25,75,75 D 23,25,28,29,30
Answer:
C
Step-by-step explanation:
Clustered data emerge when the data from the entire sample can be grouped into a variety of different categories, refers to as clusters. Each cluster involves numerous observations, giving the data a “clustered” or “hierarchical” structure, with each observations encapsulated within the cluster.
Also, if we plot a series of numbers on a graph and we will see several of our dots gathered together, we have a cluster
From the above definition of clustered data the only option that is fitting into it is option C .
25,50,50,25,75,75
Utilize as propriedades das potências e resolva 2⁴ * 2⁷ * 2⁵
Answer:
65536
Step-by-step explanation:
2 elevado a 4 é 16 e 2 elevado a 7 é 128 e 2 elevado a 5 é 32, multiplique-os e você obterá 65536
Unit 10: Circles Homework 2
Answer:
are this the answers?
Step-by-step explanation:
The value of x is 16 degrees and the measure of the arc DFG for circles of homework 2 are 1 6.056 times radius of circle.
What is the property of a straight angle?The property of straight angle says that, the angle of a straight line is equal to the 180 degrees.
It can also be define as the sum of all the angle made on the straight line is equal to the 180 degrees.
For the first problem, the line GE, which is the diameter of the circle has two angles over it (x-3) degree and (12x-25) degrees.
For the diameter GE the sum of these two angle will be equal to 180 degrees. Thus,
[tex](x-3)+(12x-25)=180\\x-3+12x-25=180\\13x-28=180\\13x=180+28\\x=\dfrac{208}{13}\\x=16^o[/tex]
The value of mDE will be equal to (12x-25) as it is verticle angle of mGF. Thus,
[tex]arcDE=(12x-25)\\arcDE=(12(16)-25)\\arcDE=167^o[/tex]
Similarly the value of mEF
[tex]arcEF=(x-3)\\arcEF=(16-3)\\arcEF=13^o[/tex]
Let the radius of the circle is R. Then the measure of arc DFG is equal to the sum of areDEF and arc GF. Thus,
[tex]arcDFG=\dfrac{2\pi R}{2}+\dfrac{2 \pi R \angle GHF}{360}\\arcDFG=\dfrac{2\pi R}{2}+\dfrac{2 \pi R (167^o)}{360}\\arcDFG=6.056R[/tex]
For the second problem, the angle MN and QO are equal due to the vertical angle property. Therefore,
[tex](10x-45)=(6x-1)\\10x-6x=-1+45\\4x=44\\x=11[/tex]
The value of mMN is,
[tex]MN=(10x-45)\\MN=(10(11)-45)\\MN=65^o[/tex]
The value of NP using the property of straight line for line segment MP can be given as,
[tex]NP=180-MN\\NP=180-65\\NP=115^o[/tex]
Thus, the value of x is 16 degrees and the measure of the arc DFG for circles of homework 2 are 1 6.056 times radius of circle.
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please help me. i have been stuck on this question for the past 10 mins
Answer:
it's A and C
(4, -8) and (-1,7)
Step-by-step explanation:
y = -3x + 4
A. works
x = 4
y = -8
-3(4) + 4
-12 + 4 = -8
B. doesn't work
x = 2
y = -10
-3(2) + 4
-6 + 4 = -2
C. works
x = -1
y = 7
-3(-1) + 4
3 + 4 = 7
D. doesn't work
x = -3
y = 4
-3(-3) + 4
9 + 4 = 13
it's A and C
(4, -8) and (-1,7)
4x – 5 = 2(2x + 1) Please help plss
Answer:
0=7
Step-by-step explanation:
Distribute
4−5=2(2+1)
4−5=4+2
Add 5 to both sides of the equation
4 − 5 = 4 + 2
4 − 5 + 5 = 4 + 2 + 5
Simplify Add the numbers
Add the numbers
4 = 4 + 7
Result
0=7
The snail moved 6 inches in 120 minutes. What was the average speed of the snail in inches per minute? StartFraction 1 Over 20 EndFraction of an inch per minute One-half of an inch per minute 2 inches per minute 20 inches per minute
Answer:
Sorry I'm late but to people that need this!
Step-by-step explanation:
It's A!
This list shows the numbers of rocks each member of a rock collection club owns.
5, 18, 26, 11, 3, 20, 9, 12, 24
What is the range of the number of rocks owned by the members?
19
21
23
24
Work out m and c for the line: y+2x=3
Answer:
m = - 2, c = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y + 2x = 3 ( subtract 2x from both sides )
y = - 2x + 3 ← in slope- intercept form
with m = - 2 and c = 3
Do all circles have all right angles?
Yes or no
Answer:
They do
Step-by-step explanation:
Both have 4 90 degree (right) angles.
A triangle has 3 sides and 3 angles. The angles of a triangle always add up to 180 degrees.The “angle” of a circle is 360 degrees – all the way around.
Hope this helps (Sometimes i think circles don't have any angles at all)
HELP PLEASE I need it abbreviated !
Answer:
30 inch²
Step-by-step explanation:
a + b/2 x h
8 + 10/2 X 5 = 30
True or False
Lateral surface area will always be greater than total surface area of the same 3-D Figure
find the value of given expression
[tex] \sqrt{120 - ( - 1)} [/tex]
Answer:
your answer will be 11
Step-by-step explanation:
......
Answer:
11 Ans ....
Step-by-step explanation:
Given:
=√120-(1)
Solution:
=√120 -(1)
= √121
=11 Answer......
Which graph shows the solution to the system of linear inequalities?
2x – 3y <12
y < –3
Answer:
D
Step-by-step explanation:
no explination
Two different functions are shown below.
1st function:
2nd function: y=3x
Which of the following statements is true?
Both functions have a positive slope
Both functions have a negative slope
Both Functions Are Proportional
Answer:
I think it's C if not D, but more likely C. Hope this helps, sorry if it doesn't.
Step-by-step explanation:
Someone help plz make sure it’s right :)
Answer:
6 m
Step-by-step explanation:
By Pythagoras Theorem:
[tex]x = \sqrt{ {10}^{2} - {8}^{2} } \\ \\ x = \sqrt{100 - 64} \\ \\ x = \sqrt{36} \\ \\ x = 6 \: m[/tex]
Step-by-step explanation:
10² = 8² + x²
x² = 10² - 8²
x² = 36
x = √36
x = 6
the graphs below have the same shape. What is the equation of the blue graph?
g(x) = jawabannya A. g(x) = 7 - x2
Nicole washed 4/10 of a bag of potatoes.She left the rest in a basket outside what amount of potatoes did Nicole leave outside?
Answer:
6/10 Simplified: 3/5 of a bag
Step-by-step explanation:
One bag= 10/10
She washed 4/10
So, 10/10-4/10=6/10
6/10=3/5
3/5 of a bag
Hope this helped! :)
Stay safe and have a wonderful day/night!!!!!
Please consider rating and giving thanks, if this helped you!
Instructions: Find the missing length indicated.
Answer:If you are following a area of a triangle is bxhx1/2 or bxh/2
1,800
Step-by-step explanation:100x36=3,600/2=1,800
NEED HELP ASAP WILL GIVE BRAINLY
Answer: I think C
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
[tex]65 = b \times h[/tex]
[tex]h = \frac{65}{b} [/tex]
A scientist illegally introduces new species of honey bees in their labs. The growth of the population of this new species is modeled by the equation below, where x is the time in weeks following the introduction of the species. What is happening to the illegal honey bee population each week? B\left(x\right)=a_0\left(3\right)^xB(x)=a 0 (3) x
Answer:
Currently, scientists have identified at least three potential causes: parasites, pesticides, and poor nutrition of the bees.
Step-by-step explanation:
Which expression is equivalent to
Answer:
B
Step-by-step explanation:
Jimmy is on the driving team at his school the quadratic function graphed on the coordinate plane below represents on of jimmy dives. Where x represent the horizontal distance , in feet that he is from the diving board and y represent his height , in feet above the water level . Explain the meaning of the meaning of x and y intercept in terms of context
Look at the picture :)
Answer:
X on the graph represents horizontal distance, the x intercept represents when he ends his dive and lands in the water. The x intercept = 8 meaning he is 8 feet away from the diving board when he lands in the water. The y-intercept of y = 13 means the starting point of his dive.
Good luck! :)
Credits: Xin for part A
143 everyone please everyone answers this
HELP DUE IN 10 MINS!
Rounds to nearest foot.
The ladder reaches ?? feet up the wall
Answer:
Use sine:
x/ 30 = sin 35°x = 30 sin 35°x = 17 ft (rounded)Which layer of the Earth is the thickest?
a. crust
b. mantle
c. outer core
d. inner core
I will mark you the brainiest if you answer the question! <3
Answer:
The mantle
Step-by-step explanation:
The Earth can be divided into four main layers: the solid crust on the outside, the mantle, the outer core and the inner core. Out of them, the mantle is the thickest layer, while the crust is the thinnest layer
Can somebody help me with this. Will Mark brainliest.
Answer: sinx= 8/11
Step-by-step explanation: Since it gives you the hypotenuse and opposite side use sine.
sin= opp/ hyp = 8/11
So... sinx = 8/11
What is the Area of this figure?
Answer:
560 Square centimetres
Step-by-step explanation:
I'm not sure but I hope it is helpful and have a good luck
Answer:
416 sqr centimeters
Step-by-step explanation:
Area of Trapezoid
A = ([tex]\frac{a+b}{2}[/tex])h
a = 14cm
b = 38cm
h = 16cm
A = ([tex]\frac{14+38}{2}[/tex])(16)
A = 416 sqr centimeters