If the heights of a population of men are approximately Normally distributed, and the middle 99.7% have heights between 5'0" and 7'0", what is the standard deviation of the heights of the population?
a. 1"
b. 12"
c. 6"
d. 4"
e. 3"
Answer:
4 inches
Step-by-step explanation:
the middle number is 6 and the distance from 99.7 from the middle is 3 standard deviations. 12/3 =4
The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean. The correct option is e.
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 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.
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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[tex](1+sin^{2} )cosx+(1+cos^{2} x)sinx=1=sin2x[/tex]
The answer is = 1 + sin x
Explanation
we need
a^2 - b^2 = (a+b) (a-b)
we use
cos^2 x + sin^2 x = 1
cos^2 x = 1 - sin^2 x = ( 1 + sin x) ( 1 - sin x )
therefore
cos ^2 x over 1 - sin x = 1+ sin x
If Bryan had 2 apples and one of them is gone what happen to the other apples
Answer:
other apples should also be taken by another person and Bryan had no apples left.
Step-by-step explanation:
Please i need another example like this but not the same or else im gonna fail Ill also mark brailiest
Find the value of x
4(x+9) = 3 (x+11) -1
Answer:
Step-by-step explanation:
4(x+9)= 3(x+11)-1
=4x+36=3x+33-1
=4x+3x= 36+33-1
7x=68
x=9.7
x=10.
Someone help plz make sure it’s right will make brainiest:)
Answer:
it's ether 1 or 2
cuz the slope is 1/3
Answer:
It is 2
Step-by-step explanation:
Which is y=1/3x + 10/3
5. An oven is set for 425° F. A pizza is baked
in the oven, then the oven is turned off.
Graph time on the x-axis and the oven
temperature on the y-axis.
Answer:
ANSWER IS ON MY HEAD
Step-by-step explanation:
THINKING ABOUT IT
Using the quadratic formula to solve x- + 20 = 2x, what are the values of x?
Answer:
they is no answer because x-+20 is not applicable to math
Answer:
x = -20
Step-by-step explanation:
because there is no quadratic equation there
a helicopter flies over a city the helicopter changes it's altitude by -42.9m. then it changes it's altitude by another -15.4m what is the total change in the helicopters altitude
Answer:
The total change in the helicopter's altitude is [tex]-58.3[/tex].
Step-by-step explanation:
Create an equation.
[tex]-42.9 +(-15.4)[/tex]
Adding two negative numbers is always negative, so simply add the absolute values and make the answer a negative.
[tex]42.9+15.4 = 58.3[/tex]
Now, change the answer to a negative.
[tex]-58.3[/tex]
Thus, [tex]-58.3[/tex] is the answer.
what is 5/100 written in decimal
Answer:
0.05
Step-by-step explanation:
Hope it helps:)
What is
12,4% expressed as a fraction?
Answer:
Well, you first want to find out what it is in decimal form, which in this case is 0.124. Then once you do that, you can convert it to an improper fraction, which would be 124/100, you then can simplify it to convert it into a mixed number, which lands you the final answer of 1 6/25 I hope this helps you! :)
Jane Rogers has a $100,000 whole life policy. What will the cash value of her policy be at the following anniversary dates?(Use a thousands comma where applicable.)Anniversary dateCash Value10 year$20 year$
Answer:
Brainliest Please
Step-by-step explanation:
10 year: $1000000
20 years: $2000000
Answer:
10 years = 8,900.00.
20 years = 23,200.00.
Step-by-step explanation:
Hey, let me tell you how to solve this; I had trouble as well.
Since the policy is worth 100,000, you divide this by 1,000.
That gives us 100.
Now, multiply 100 by the 10 yr cash value, which is 89.
That results in 8,900.00.
Taking 100 again, multiply it by the 20 yr cash value, 232.
That gives us 23,200.00.
Hope it helps.
( I’ll give you brainliest!!!) Find the length of the third side. If necessary, write in simplest radical form.
Answer:
The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2
I dont know the exact positions to put the lengths, but tell me if this helps!
((((40 - -30) x (20 +15 - -2))+14)/2)-40
100 points pls help
Step-by-step explanation:
1262 enjoy brainliest appreciated
Using Cramer's Rule, the solution to the system of equations
6x−5y=−4−7x+3y=−1
can be written in the form (DxD,DyD).
What is the value of Dx?
Using Cramer's rule it is found that Dx = -34.
In Cramer's rule, we have three matrices.
x is a matrix in which the first column is the coefficients that multiply x, and the second are the coefficients on the right side of the equality.y is a matrix in which the first column is composed by the coefficients on the right side of the equality and the second is the coefficients that multiply y.M is a matrix in which the first column is the coefficients that multiply x, and the second is the coefficients that multiply y.In this problem, the system is:
[tex]6x - 5y = -4[/tex]
[tex]-7x + 3y = -1[/tex]
Matrix x is given by:
[tex]x = \left[\begin{array}{ccc}6&-4\\-7&-1\\\end{array}\right][/tex]
It's determinant is given by:
[tex]Dx = 6(-1) -(-4)(-7) = -6 - 28 = -34[/tex]
Thus, Dx = -34.
A similar problem is given at https://brainly.com/question/24749091
Kent needs to buy school supplies. Notebooks cost 5x dollars, bottles of glue cost 2x dollars packs of markers cost 7x dollars and pens cost 3x dollars. Kent buys 2 notebooks 3 bottles of glue 2 packs of markers and 3 pens. What is the total cost? will mark brainliest ♡
Answer:
Kent a dooduh hed
Step-by-step explanation:
ITS ABOIT DRIVE ITS ABOUT POWER WE STAY HUNGRY WE DEVOUR PUT IN THE WORK PUT IN THE HOURS AND TAKE WHATS OURS
The value of total cost to buy school supplies is,
⇒ 25x dollars
What is Addition?The process or combination to combining two or more numbers is called the Addition.
Given that;
Notebooks cost 5x dollars, bottles of glue cost 2x dollars packs of markers cost 7x dollars and pens cost 3x dollars.
Here, Kent buys 2 notebooks, 3 bottles of glue 2 packs of markers and 3 pens.
Hence, Total cost is,
= 2 × 5x + 3 × 2x + 3 × 3x
⇒ 10x + 6x + 9x
⇒ 25x dollars
Thus, The value of total cost to buy school supplies is,
⇒ 25x dollars
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Solve the equation. Explain each step and identify the property used to reach each step.
0
.
6
x
+
0
.
8
=
1
.
4
To isolate x, we will first subtract 0.8 from both sides.
0.6x + 0.8 = 1.4
-0.8 -0.8
0.6x = 0.6
Now all we have to do is divide both sides by 0.6, because it is the number besides x.
0.6x/0.6 = 0.6/0.6
x = 1
So you get the answer of x = 1.
. Find the factors of (ϰ² - 25)
Answer:
(x - 5)(x + 5)
Step-by-step explanation:
x² - 25 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
x² - 25
= x² - 5²
= (x - 5)(x + 5)
please help!! please show your work too so i know how to do the rest of them :)
Answer:
Step-by-step explanation:
1) f(x)=1/3(x+1)^2
so if we use the equation f(x)=a(x-h)^2+k then we can plug in the different things. a would represent the compress/stretches, so in order to move horizontally, we would need to do 1/3
for h: that is the horizontal translations so, left and right. BUT remember it's the opposite. so if you want to go left <-- you would have to put a + sign and to go right you would have to put a - sign.
I hope that helps it prob is confusing sorry >-<
Pat's English class is located in the same quadrant as the gym. Which of the following could be the coordinates of the English classroom? (4 points) ASAP
(2, 5)
(−2, 5)
(−2, −5)
(2, −5)
Answer its (-2,5)
if its on q2
The total height of three people is 14 ft. Person A is 1 ft taller than Person B. Person C is 2 feet shorter than Person B. How tall is person A?
A. 6ft
B. 3ft
C. 5ft
D. 4ft
Step-by-step explanation:
A+B+C = 14
B+1 +B + B-2 = 14
3B -1 = 14
3B = 14+1
3B =15
B = 5
Therefore, A = 5+1 = 6 ft (option A)
__________
[tex] \: [/tex]
14 = A + B + C
14 = (B + 1) + B + (B - 2)
14 = 3b - 1
14 + 1 = 3b
15 = 3b
b = 15 ÷ 3
b = 5
.
A = B + 1
A = 5 + 1
A = 6✔ (A.)
At what rate is a car traveling, if it goes 157.5 miles in 2.5 hours?
Which statement about equations with no solution is TRUE? I will give brainliest!!
No matter what number you substitute for the variable, the simplification will result is a false statement.
You can substitute the number 0 for the variable, and a true statement will always result when simplified.
You need to simplify the equation before you can substitute a number for the variable.
Any number that you substitute for the variable will result in a true statement when simplified.
No matter what number you substitute for the variable, the simplification will result is a false statement.
Carla and Ben earn commission every time they sell soemthing. Carla sold 3 suits and 1 pair of shoes, and earned 47$ in commission. Ben sold 7 suits and 2 pairs of shoes, and earned 107$ in commision. how much commission do they get from selling suits, and how much do they get from selling shoes
Answer:
$13
Step-by-step explanation:
Please tell me if i'm wrong.
50 POINTS PLS HELP
The total cost after sales tax to fix Azar’s computer is represented by the expression 0.08 (55h) + 55h, where h represents the number of hours it takes to fix Azar’s computer.
What percentage sales tax is Azar being charged? Explain your answer using 1-2 sentences
What part of the expression represents the dollar amount of sales tax Azar must pay?
Answer:
these are 5 points look clearly.XD
The percentage sales tax is 8%.
The part of the expression that represents the dollar amount of sales tax Azar must pay is 0.08 55(h).
Given,
The total cost after sales tax to fix Azar’s computer is represented by the expression:
- 0.08 (55h) + 55h
where h represents the number of hours it takes to fix Azar’s computer.
We need to find out what percentage of sales tax is Azar being charged.
and what part of the expression represents the dollar amount of sales tax Azar must pay.
What represents sales taxes?It is mostly represented by a percentage.
We have,
100% = 100/100 = 1
50% = 50/100 = 1/2 = 0.5
25% = 25/100 = 1/4 = 0.25
20% = 20/100 = 1/5 = 0.2
We have,
- 0.08 (55h) + 55h
The sales tax is also charged according to the number of hours so,
In the expression 0.08 can be written as a percentage.
0.08 = 8 /100 = 8%
The percentage sales tax is 8%.
Now,
0.08 55(h) means the sales tax Azar must pay.
For 1 hour,
0.08 x 55 = 4.4 is the sales tax.
For 2 hours,
0.08 x (55x2) = 0.08 x 110 = 8.8.
And so on,
So,
The part of the expression that represents the dollar amount of sales tax Azar must pay is 0.08 55(h).
Thus,
The percentage sales tax is 8%.
The part of the expression that represents the dollar amount of sales tax Azar must pay is 0.08 55(h).
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4
Write the equation of the line perpendicular to y = 5x + 1 that passes through the point ( – 5,1).
Type an equation using slope-intercept form or using the given point in point-slope form.
(Use integers or simplified fractions for any numbers in the equation.)
Answer:
y = -1/5x
Step-by-step explanation:
Using the 'y=mx+c' form for the equation:
Find the slope (m):
Since the product of both slopes should be -1 (if they are perpendicular),
s₁s₂ = -1
5*s₂ = -1
s₂ = -1/5x
Hence, the slope (m) is -1/5x.
Substituting the slope value into 'y=mx+c':
y = -1/5x+c -----(1)
Substituting the point (-5,1) into the equation (1):
1 = -1/5 * (-5) + c
1 = 1 + c
c = 0
Substitiuting 'c=0' into 'y = -1/5x+c':
y = -1/5x
Hence,
y = -1/5x
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
Measure of 133 degrees rotated 180 degrees
Answer:
313°
Step-by-step explanation:
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 5. If there were 11,724 total votes, how many no
votes were there?
what’s the LCM for 22, 44 show your work
Write an equation: At 2 claps, Joe is in position 7 and walking towards zero at a rate of 3 claps per minute.
Answer:
I'll assume "position 7" refers to distance and not to the order of other people.
Step-by-step explanation:
We want an equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). We can assume that "claps" is a new measure of distance. 0 claps is the finish.
Let's express the information provided in point format.
"At 2 claps, Joe is in position 7" is (2,7) 2 is the distance (claps) and 7 is the time (minutes)
And we can say the rate is also the slope of a line. "rate of 3 claps per minute" is 3c/m, where c is claps and m is minutes.
We can start a line equation by stating y = 3x + b, where we're using the rate, 3 c/m, as the slope, m.
We need to determine the value of b. We can use the given point (2,7) and solve for m:
y = 3x + b
7 = 3*(2) + b
b = 1
The equation becomes y = 3x + 1
y is the distance in claps and x is the time in minutes.
At a time of 2 claps he is at position of 7. b = 1 means he started 1 clap further from the finish at 0 claps.
To find the time required to reach the finish, we need to know the total distance, in claps.