Answer: 0.8185
Step-by-step explanation:
Let X represents the tree diameters that are distributed normally.
Given: Mean [tex]\mu=9.6\text{ inches}[/tex], Standard deviation [tex]\sigma=2.4\text{ inches}[/tex]
The probability that its diameter will fall between 7.2 inches and 14.4 inches will be:
[tex]P(7.2<X<14.4)=P(\dfrac{7.2-9.6}{2.4}<\dfrac{X-\mu}{\sigma}<\dfrac{14.4-9.6}{2.4})\\\=P(-1<Z<2)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=P(Z<2)-P(Z<-1)\\\\=P(Z<2)-(1-P(Z<1))\\\\=0.9772-(1-0.8413)=0.8185\ [\text{By p-value table}][/tex]
Hence, required probability = 0.8185
Simplify 2y-3x2 +6x2 - 3y
Answer:3
x2−y
Step-by-step explanation:
What are the parts of a division problem?
Answer: A division problem is were you have your two numbers and you divide them, and that's it..
Answer:
Each party involved in a division equation has a special name. Dividend: The dividend is the number that is being divided in the division process. Divisor: The number by which dividend is being divided is called the divisor. Quotient: A quotient is a result obtained in the division process.
Step-by-step explanation:
-3= 6 +?
Help ASAP!!
Answer:
-9
Step-by-step explanation:
-3 = 6 - 9
-3 = -3
Luis bought stock at $50.70. The next day, the price increased $17.75. This new price changed by -3-%
3
4
the following day. What was the final stock price, rounded to the nearest cent? Is your answer reasonable?
Complete the explanation.
Answer:
Starting price is $50.70.
Next day the price is $50.70 + $17.75 = $68.45
This price then changed by: [tex]-3\frac{3}{4}\%=-3.75\%[/tex].
So in order to calculate that we do: [tex]68.45 - (3.75/100*68.45)=65.883125 =\$65.88[/tex]
Therefore final price is $65.88.
Yes, this is reasonable.
What is the solution to this system of equations?
y = x + 6
y = -0.5x + 3
A. (2, -1)
B. (-2,4)
C. (-1,2)
D. (4,-2)
Kim’s age is twice that of her sister. When you add Kim’s age to her sister’s age, you get 36. How old is each sister?
Write an equation that represents the situation. Explain any variable used.
Solve the equation Show your work. State your solution as a complete sentence.
NEED HELP WITH MATH! Will Give brainliest! Picture of problem is below
Answer:
2
Step-by-step explanation:
Paige was measuring how much taller she got over two years. In the first year she grew 4.62 cm.
In the second year she grew 7.7 cm. How much taller did she get all together?
a. 53.9 cm
b. 12.32 cm
C. 3.08 cm
d. 13.42 cm
Yadira buys a pair of shoes during a sale for 25% off. If the shoes are originally priced at $55. What is the sale price?
Answer:
$41.25
Step-by-step explanation:
55*0.75=41.25
Hope this helps!
Answer:
41.25
Step-by-step explanation:
55x.25=13.75
55-13.75=41.25
3) Which of the following is the slope of a line that is parallel to the line y = 8x + 3
Answer:
8 is slope
Step-by-step explanation:
if it is parallel it is the exact same slope and this equation has a slope of 8
b) how would
You work out 7 2/3 + 2 1/5
Answer:
9 13/15
Step-by-step explanation:
Find a common denominator which is 15
2 10. 1. 3
— = ——. —— = ——
3 15 5 15
7 + 2 = 9
10/15 + 3/15 = 13/15
9 13/15
Answer:
Step-by-step explanation:
7+2=5
I would convert 2/3 into 10/15 and convert 1/5 into 3/15 and add
10/15 + 3/15 = 13/15 and the answer would be
5 13/15
Can somebody help me with this problem?
Answer:
You need to use y=mx+b
In this case, m=1.5 so that means that y=1.5x
Now you must find out the y intercept which is "b" in y=mx+b
I think it is the first one (y=1.5x+72)
====================================================
Explanation:
The given slope is m = 1.5
We want the line to go through (x,y) = (6,72). This means x = 6 and y = 72 pair up together.
We'll plug those m, x, and y values into the equation below to solve for b
y = mx+b
72 = 1.5*6+b
72 = 9+b
72-9 = b ... subtract 9 from both sides
63 = b
b = 63 ... y intercept
-------------------
Since m = 1.5 and b = 63, we go from y = mx+b to y = 1.5x+63
Solution
y = 2x – 7
4 + y = 12
Answer:
x = 15/2 (15 over 2)
y = 8
Step-by-step explanation:
there 3 different way to do this (substitution, Elimination and Matrix)
ill be showing substitution ( you use the answer of one of the variables and substitute it for the other questions variable)
4 + y = 12
y = 12 -4
y = 8
y = -2x - 7
8 = 2x - 7
8 + 7 = 2x
15 = 2x
x = 15/2
hope this helped and made a little sense!
What is the prime factorization of 135?
32x52
3x5x9
3x53
0335
Answer: fourth option (3² × 5)
Step-by-step explanation: The prime factorization of 135 is (3² × 5) because:
3 x 3 x 3 = 27
27 x 5 = 135
The answer to the question is (3² × 5).
Answer:
3^3 × 5 [Fourth option, bottom one]
Step-by-step explanation:
First, 3^2 × 5^2 cannot be correct because although 3, and 5 are prime numbers 3^2 × 5^2 ≠ 135 as 3^2 × 5^2 = 225.
Second, 3 × 5 × 9 can't be right because although 3 × 5 × 9 = 135, 9 is not a prime number.
Third, 3 × 5^3 is not correct because although 3 and 5 are prime numbers, 3 × 5^3 ≠ 135 as 3 × 5^3 = 375.
The last question must be correct because it is the only remaining choice answer. Plus 3 and 5 are both prime numbers, and 3^3 × 5 = 135, 3^3 × 5 = 3 × 3 × 3 × 5 = 27 × 5 = 135.
Which decimal is the best best estimate of the fraction 29/40?
Answer: 0.725
Step-by-step explanation: this is the answer. in order to get to this answer you would put The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.
i sure hope this was helpful.
Translate the sentence into an equation.
Five more than the product of a number and 2 equals 9.
Use the variable w for the unknown number.
Answer:
(w * 2) + 5 = 9
Explanation:
Product means multiplication. Five more than means adding 5. So, add five to the answer of w times 2 is 9.
(w * 2) + 5 = 9
Thus the equation is 5 + 2w = 9 and the unknown number is 2.
Given,
Five more than the product of a number and 2 equals 9.
We will use the unknown number as w.
We will form an equation.
Find the equation.
Let the unknown number be w.
"Five more than the product of a number and 2 equals 9".
we can write this as:
5 + w x 2 = 9
5 + 2w = 9
Find the unknown number.
We have,
5 + w x 2 = 9
5 + 2w = 9
Subtract 5 on both sides.
5 + 2w - 5 = 9 - 5
2w = 4
Divide both sides by 2.
w = 2
Thus the equation is 5 + 2w = 9 and the unknown number is 2.
Learn more about finding unknown numbers here:
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slope of 5,4 and -4,3
Slope is the change in Y over the change in X.
Slope = (3 - 4) / (-4 -5)
Slope = -1/-9
Slope = 1/9
An a plane flies 3.705 miles in 75 hours What is the speed of the airplane in miles per hour? Use the equation d = it, where d is distance is rate and tis time
The airplane's speed is miles per hour?
Answer:
20.243. (Rounded to the nearest hundredths)
Step-by-step explanation:
75 ÷ 3.705 = 20.24291498
Do we flip the inequality 2x<-6
No.
When you divide by a positive value you do not flip the inequality, only when dividing by a negative value.
2x < -6
To solve for c you divide both sides by 2, which is a positive value so the inequality stays the same:
X < -6/2
X < -3
What is the distance form X to the rock ? Plz help
Answer:
50 or 60 feet
Step-by-step explanation:
What is 23 x 2 (4 + 3) x 20 + 6
Pls need help, I will mark you as brainiest
Answer:
328
Step-by-step explanation:
For these questions we need to use BODMAS method
B - Brackets
O - Power
D - Division
M - Multiplication
A - Addition
S - Subtraction
First we need to see if there are any brackets
(4 + 3) = 7
After that we need to find if there is any power
- No power
After that we need to find if there is either multiplication or division
23 x 2 = 46
46 x (4 + 3) = 46 x 7 = 322
Now we need to simplify so , we don't get confused
23 x 2 x (4 + 3) x 20 = 322
322 + 6 = 328
We have simplified the answer as much as we can
Answer = 328
Hope you understand
:-)
What is twenty% of 1000
Answer:
200
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
Google told me that 20% of 1000 is 200
Simplify and determine the coefficient of (-2/3x)(3y)(-2x). 4,-4,1/3,1
Answer:
4
Step-by-step explanation:
on edge
Write a linear equation for the line that passes
through the two points (-6, 7) and (-3, 6). Show all
work
Answer:
y=-1/3x+5
Step-by-step explanation:
to find the slope you have to use the equation y₂-y₁/x₁-x₂
which will give you 6-7/-3-(-6) --> -1/3
the product of this equation is your slope
The mean income per household in a certain state is $9500 with a standard deviation of $1750. The middle 90% of incomes are between what two values
Answer: The middle 90% of incomes are between $6621.25 and $12378.75 .
Step-by-step explanation:
The critical z-value for 90% confidence = 1.645
Given: Mean income per household = $9500
standard deviation = $1750
then, middle 90% of incomes are between $(9500-(1.645)(1750)) and (9500+(1.645)(1750))
i.e. middle 90% of incomes are between $6621.25 and $12378.75.
Hence, the middle 90% of incomes are between $6621.25 and $12378.75 .
4(1 + 9x) what does that equal
Allison buys a spool of thread for sewing. There are 10 yards of thread on the spool. She uses 9 meters. How much thread is left on the
spool in meters? Round your answer to the nearest thousandth, if necessary.
The amount of meters left is 0.144 meters
First and foremost, it should be noted that: 1 yard = 0.9144 meter
Therefore, 10 yards to meters will be:
= 0.9144 × 10
= 9.144 meters
Since Allison uses 9 meters, the amount of thread that is left on the
spool will be:
= 9.144 meters - 9 meters
= 0.144 meters
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Put these fractions in order of size, smallest to largest 1/4, 1/2, 1/3
Answer:
From smallest to largest 1/4, 1/3,1/2
Step-by-step explanation:
As the data suggests: 1/4 would be the smallest, 1/3 is in the middle, and 1/2 is the largest sum.
1/4 = 0.25
1/3 ≈ 0.33
1/2 = 0.5
The fractions in order of size, smallest to largest, 1/4, 1/3, 1/2
Used the concept of ascending order that states,
Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right.
The numbers arranged in order from least to the greatest number is called Ascending order.
Given that,
The fraction is,
1/4, 1/2, 1/3
Now evaluate the fractions as
1/4 = 0.25
1/2 = 0.5
1/3 = 0.33
After arranging the number into ascending order, we get;
0.25, 0.33, 0.5
Or, 1/4, 1/3, 1/2
Therefore, the fractions in order of size, smallest to largest is,
1/4, 1/3, 1/2
To learn more about the ascending order visit:
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Consider the equation 5 – 3(2x – 7) = 12 – 5(x – 2). Is x = 2 a solution to this equation? Is x = 4 a solution to this equation? Explain your reasoning in each case.
Answer:
yes x=4
Step-by-step explanation:
may this will support you
Write a polynomial function that has a leading coefficient of 1, and the given zeros
at 3, 5, and -i.
9514 1400 393
Answer:
p(x) = x^4 -8x^3 +16x^2 -8x +15
Step-by-step explanation:
Assuming you want real coefficients, the imaginary root means its conjugate is also a root. In factored form, the polynomial is ...
p(x) = (x -3)(x -5)(x -i)(x +i) = (x^2 -8x +15)(x^2 +1)
p(x) = x^4 -8x^3 +16x^2 -8x +15
