It is 1.39 standard devaitions away from the mean.
Since the mean x = 51.84 inches and the standard deviation, σ = 8.05 inches.
The amount of rainfall last year was X = 63 inches.
The difference between X and the mean x is d = X - x
= 63 - 51.84 in
= 11.16 in
To find the number of standard devaitions X is from the mean, n, we divide d by the standard deviation,σ.
So, n = d/σ
= 11.16 in/8.05 in
= 1.39
So, it is 1.39 standard devaitions away from the mean.
Learn more about number of standard deviations here:
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Hello, is there anyone here a pharmacy technician?
Please Help!
what is the resultant of the two vectors shown above?
A. (9,1)
B. (1,-9)
C. (-1,9)
D. (5,5)
Answer:
D 5 5 it has to be the answer
can someone plz help with this
Answer:
What is it we should help you with
6) Last month, Yaws checking account
had a balance of Ghc347.20. Since then,
Yaws deposited his paycheck of
Ghc563.89 and withdrew Ghc478.53.
What is Kofi's checking account balance
now?
9514 1404 393
Answer:
Ghc432.56
Step-by-step explanation:
Deposits add to the balance; withdrawals subtract from the balance.
new balance = old balance + deposits - withdrawals
new balance = 347.20 +563.89 -478.53 = 432.56
Kofi's balance is now Ghc432.56.
y=−3x+7x=−2y−16
(−6, 11)
(6, −11)
(11, −6)
(−11, 6)
Answer:
D. (−11, 6)
Step-by-step explanation:
click on the link i need help
Answer:
Uuuuh thats kind of suspicious, maybe you could post your question without a link? But links are usually scams, so dont do that :)
When it was 70 degrees outside. 50 members showed up at a beach club. For each degree the temperature rose, another 10 members came to the beach club. Write the function, Kt), that represents the number of members at the beach club as a function of the temperature
Answer:
what to do here I don't know sorry
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One integer is 2 less than another. The sum of their squares is 34. Find the integers.
Answer:
no se bro no se inglés así no se que bas a aaer
Step-by-step explanation:
pero puedes consultar por
Which of the following is an equivalent form of the compound inequality
Answer:
pls mark brainy
Step-by-step explanation:
option (d) is correct.
An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8
Step-by-step explanation:
Given a compound inequality −44 > −2x − 8 ≥ −8
We have to write an equivalent form of compound inequality.
Compound inequality consists of two inequalities joined together and the solution is the intersection of each inequality.
Compound inequality has two sides the left hand side and right hand side we can solve them by taking each inequality one at a time.
For given compound inequality, −44 > −2x − 8 ≥ −8
we have
Left side of inequality as −44 > −2x − 8
and right side of inequality as −2x − 8 ≥ −8
Thus, option (d) is correct.
Thus, An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8
A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5. Find the probability
distribution?
Considering that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, the probability distribution is given by:
[tex]P(X = 1) = 0.1111[/tex]
[tex]P(X = 2) = 0.2222[/tex]
[tex]P(X = 3) = 0.1111[/tex]
[tex]P(X = 4) = 0.2222[/tex]
[tex]P(X = 5) = 0.1111[/tex]
[tex]P(X = 6) = 0.2222[/tex]
The symbolic distribution is:
[tex]P(X = 1) = y[/tex]
[tex]P(X = 2) = x[/tex]
[tex]P(X = 3) = y[/tex]
[tex]P(X = 4) = x[/tex]
[tex]P(X = 5) = y[/tex]
[tex]P(X = 6) = x[/tex]
The sum of all probabilities is 1, hence:
[tex]3x + 3y = 1[/tex]
Simplifying by 3:
[tex]x + y = 0.3333[/tex]
[tex]y = 0.3333 - x[/tex]
2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, hence:
[tex]x = 2y[/tex]
[tex]x = 2(0.3333 - x)[/tex]
[tex]3x = 0.6667[/tex]
[tex]x = \frac{0.6667}{3}[/tex]
[tex]x = 0.2222[/tex]
Then:
[tex]y = 0.3333 - x = 0.3333 - 0.2222 = 0.1111[/tex]
Hence, the distribution is:
[tex]P(X = 1) = 0.1111[/tex]
[tex]P(X = 2) = 0.2222[/tex]
[tex]P(X = 3) = 0.1111[/tex]
[tex]P(X = 4) = 0.2222[/tex]
[tex]P(X = 5) = 0.1111[/tex]
[tex]P(X = 6) = 0.2222[/tex]
A similar problem is given at https://brainly.com/question/24855677
solve pls brainliest
Answer:
The answer is 57.6
Step-by-step explanation:
6 x 9.6 = 57.6
Dwayne read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate, how many chapters of his history book can he read in 1 hour?
Answer:
1 7/8 (1, 2)
Step-by-step explanation:
60/5=12 so dwayne reads 3/8 chapter per 12 minutes
12/3=4 so dwayne reads 1/8 chapter per 4 minutes
4x8=32 dwayne reads a chapter per 32 minutes.
2x32=64 and got 4 minute extra which is the time for dwayne to read 1/8 chapter
So Dwayne can read 1 7/8 chapter in 1 hour, if rounding off then 2 chapters, if only an entire chapter counts then 1
PLSSSSS HELP>>>>>>>>>>>>>>>>>>>>>>>
When 4/15 is written as a decimal, how many digits are in the smallest sequence of repeating digits? A. 3 B. 2 C. 1 D. 0
Answer:
C. 1
Step-by-step explanation:
We have to convert 4/15 into decimal.
Divide 4 by 15
When we divide 4 by 15, we get 0.26666666666.....
As we can see that, the number 6 is repeating
Only one digit is repeating
Hence, the correct answer is one 6
What is 60 percent of 92?
1.53
5.52
15.3
55.2
Answer:
[Fourth Option] 55.2
Step-by-step explanation:
60% -> 0.6
0.6 * 92 = 55.2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
(D) 55.2
Step-by-step explanation:
what is the surface area of the regular pyramid below?
A. 1512 units^2
B. 952 units^2
C. 1316 units^2
D. 756 units^2
D. 756 units^2
Step-by-step explanation:
there ya go :)
The surface area of the regular pyramid is 960 square units, the correct answer is B.
How to find the volume and base's area of a right rectangular pyramid?Suppose the base of the pyramid has length = l units, and width = w units.
Suppose that the height of the pyramid is of h units, then:
[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]
is the volume of that pyramid.
The base is a rectangle with length = L units, and width = W units, so its area is:
[tex]b = l \times w\: \rm unit^2[/tex]
We are given that;
Base of square pyramid is 20, the height is 14
Now,
Perimeter = 4 x 20 = 80 units
Base area = 20 x 20 = 400 square units
Surface area = (1/2) x 80 x 14 + 400
Surface area = 560 + 400
Surface area = 960 square units
Therefore, the surface area pyramid will be 960 square units.
Learn more about right rectangular pyramid here:
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Find the equation of the normal to the curve y=x+x-2 at the point x = 2.
Answer:
(2,1)
Step-by-step explanation:
a rectangle measures 5 feet by 10 feet. what is the perimeter in yards
Answer:
10 yards
Step-by-step explanation:
10 + 10 + 5 + 5 = 30 feet
30 feet = 10 yards
Find the sum of 5x + 6 and -11x - 9
Find the mid point or these coordinates
(-2,-7) and (6,9)
select the correct response
(4,2)
(1,2)
(2,1)
(2,4)
Answer: (2,1)
Step-by-step explanation:
What’s the solution to 2x - 2 > 2x + 4 ?
Answer:
This inequality isn't correct.
Step-by-step explanation:
2x - 2 > 2x + 4
Substituting any value for x, the result will be incorrect.
Actually,
2x - 2 < 2x + 4 is correct.
2x - 2x < 4 + 2
0 < 6
What is the distance between the points (6, 11) and (3, 1)? If necessary, round
your answer to two decimal places.
A. 109 units
B. 9.43 units
C. 10.44 units
D. 89 units
Answer:
C.) 10.44030650
Step-by-step explanation:
Answer:
C. 10.44 unitsStep-by-step explanation:
Use distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Substitute the values and calculate:
[tex]d=\sqrt{(3-6)^2+(1-11)^2} =\sqrt{(-3)^2+(-10)^2} =\sqrt{9+100} =\sqrt{109} =10.4403[/tex]Correct choice is C
a. What is the probability that this couple spends 45 dollars or more?
b. Suppose that the restaurant is currently running a promotion with a 10% discount if the total amount spent by a table is 45 dollars or more. What is expected total amount the couple actually has to pay?
Using the probability table, it is found that:
a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more. b) The expected amount the couple actually has to pay is $36.85.Item a:
To find the probabilities involving the total cost, we have to add the variables X and Y from the table, then:
[tex]P(X = 30) = P(X = 15|Y = 15) = 0.2[/tex]
[tex]P(X = 35) = P(X = 15|Y = 20) + P(X = 20|Y = 15) = 0.15 + 0.15 = 0.3[/tex]
[tex]P(X = 40) = P(X = 15|Y = 25) + P(X = 20|Y = 20) + P(X = 25|Y = 15) = 0.05 + 0.15 + 0.05 = 0.25[/tex]
[tex]P(X = 45) = P(X = 20|Y = 25) + P(X = 25|Y = 20) = 0.1 + 0.1 = 0.2[/tex]
[tex]P(X = 50) = P(X = 25|Y = 25) = 0.05[/tex]
The probability involving values of 45 or more is:
[tex]P(X \geq 45) = P(X = 45) + P(X = 50) = 0.2 + 0.05 = 0.25[/tex]
0.25 = 25% probability that this couple spends 45 dollars or more.
Item b:
For a discrete distribution, the expected value is the sum of each outcome multiplied by it's respective probability, hence, involving the 10% discount for prices above $45:
[tex]E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85[/tex]
The expected amount the couple actually has to pay is $36.85
A similar problem is given at https://brainly.com/question/25782059
What is the slope of the line?
a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base so that the two solids of equal weight will be formed?
A structure which has a square base and four triangular sides meeting at a point is called pyramid.
At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.
It is assumed that weight of pyramid is proportional to its volume.
So, [tex]w = k V[/tex] , where V is volume of original pyramid and v is volume of small pyramid and k is constant.
Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.
Assume that base area of original pyramid is A and base of small pyramid is a.
Volume of original pyramid is, [tex]V= \frac{1}{3} *A* 5[/tex]
So, weight of original pyramid, [tex]W = k *(\frac{1}{3} *A* 5) = 800[/tex]
Volume of small pyramid is, [tex]v = \frac{1}{3}* a* h[/tex]
So, weight of small pyramid, [tex]w = k*(\frac{1}{3}* a* h)=400[/tex]
Since, base and height of small pyramid and original pyramid are in proportion.
So, [tex]\frac{a}{A} = (\frac{h}{5}) ^{2}[/tex]
[tex]a = (\frac{h}{5} )^{2}A[/tex]
Substituting value of a in equation [tex]k*(\frac{1}{3}* a* h)=400[/tex]
So, [tex]k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400[/tex]
[tex](k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400[/tex]
Since, [tex](k *\frac{1}{3} *A* 5) = 800[/tex], substitute in above equation.
So, [tex]800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet[/tex]
Learn more:
https://brainly.com/question/17950304
i bought a new comic book at the comic book shoppe and paid enitrely using quarters. If I had paid using only dimes i would have needed to pay 9 more coins. how much did the comic book cost
The comic book cost $1.50.
A quarter is worth .25 cents while a dime is worth .10 cents. This means 9 more coins would be .90 cents since each coin is worth .10 cents.
The difference between $1.50 and .60 cents is .90 cents.
25 x 6 = 150 while 10 x 6 = 60 : 150 - 60 = 90
Hope this helps!!
help me with this i dont understand
Answer:
4
Step-by-step explanation:
Answer:
3Step-by-step explanation:
The scale factor is the ratio of the corresponding sides.
Take the base of both quadrilaterals.
Large quadrilateral:
6 - (-6) = 12Small quadrilateral:
2 - (-2) = 4Scale factor:
k = 12/4 = 3string is 38 cm longer than his desk. Length of his reading book is 26 cm, what is the length of his string?
Answer:
has in lenght of 2 or 5
Step-by-step explanation:
odyssey ware
ig i d k
What is 10 - (-18) in a integer
Answer:
28
Step-by-step explanation:
10 - (-18)
=> 10 + 18
=> 28
Hoped this helped.
Answer:
10 - (-18)
= 10 + 18
= 28
Step-by-step explanation:
Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)?
O f(x) = -3x - 6
O f(x) = -3x - 4
O f(x) = -3x + 16
O f(x) = -3x + 14
Answer:
-3x + 14
Step-by-step explanation:
Expand -3(x-5)
. -3 * x = -3x
. -3 * -5 = 15
So
. y+1 = -3x + 15
Subtract 1 from both sides so that y is the subject
. y = -3x + 14
Now you can juse replace y with f(x) since theyre basically the same thing
What are the coordinates of point P' if point P(3, -4) is reflected over the line y = x? *
Answer:
(4,3)
Step-by-step explanation:
please mark as brainliest if correct
thank you
19NBoli
