Answer:
y = 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
2x - 9y = 11
x = 7
Step 2: Evaluate
Substitute in x: 2(7) - 9y = 11Multiply: 14 - 9y = 11[Subtraction Property of Equality] Subtract 14 on both sides: -9y = -3[Division Property of Equality] Divide -9 on both sides: y = 1/3The heights of the men age 18 and over in HANES5 averaged 69 inches; the SD was 3 inches. Suppose the histogram of their heights follows the normal curve. Such a man that is 6 feet tall is at the percentile of this height distribution. (Enter the nearest whole number.) What is the 25th percentile, to the nearest inch
Answer:
a) 84th percentile.
b) The 25th percentile is of 67 inches.
Step-by-step explanation:
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.
The heights of the men age 18 and over in HANES5 averaged 69 inches; the SD was 3 inches.
This means that [tex]\mu = 69, \sigma = 3[/tex]
Such a man that is 6 feet tall is at the percentile of this height distribution.
6 feet = 6*12 inches = 72 inches. So this percentile is the p-value of Z when X = 72. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 69}{3}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84, so 84th percentile.
What is the 25th percentile, to the nearest inch
X when Z has a p-value of 0.25, so X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 69}{3}[/tex]
[tex]X - 69 = -0.675*3[/tex]
[tex]X = 67[/tex]
The 25th percentile is of 67 inches.
I need the equation
Answer:
y=mx+b
Step-by-step explanation:
what is the volume explain why will mark branniest GIVE ME EXPLANATION
Answer:
63 yd³
Step-by-step explanation:
V = lwh
V = 7 × 3 × 9
V = 189
Since the cubes are 1/3 yd³, you now multiply the volume of this figure which is if it were a 1 yd³.
189 × [tex]\frac{1}{3}[/tex]
63 yd³
Chandni compares two cylinders. Both cylinders have an identical base. The first cylinder has a height of 4 inches and a volume of 120 cubic inches. The second cylinder has a height of 7 inches. What is the volume, in cubic inches, of the second cylinder?
Answer:
33 Cubic inches
Step-by-step explanation:
The volume, in cubic inches, of the second cylinder is,
⇒ 210 inches³
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Chandni compares two cylinders. Both cylinders have an identical base.
Now, The first cylinder has a height of 4 inches and a volume of 120 cubic inches.
And, The second cylinder has a height of 7 inches.
Let the volume, in cubic inches, of the second cylinder is, x
Hence, We can formulate;
120 / 4 = x / 7
⇒ 120 × 7 = 4x
⇒ 4x = 840
⇒ x = 210 inches³
Thus, The volume, in cubic inches, of the second cylinder is,
⇒ 210 inches³
Learn more about the mathematical expression visit:
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What is the surface area of the right cylinder below?
Answer:
Ok to find the surface area of this cylinder first we need the circumference to find this we do C=πd
C=3.14*18
C=56.52
now we have to multiple this by the height of two
113.04
now we have to find the area of the bottom to do this we do A=πR^2
A=3.14*81
A=254.34
multiple this by two for the two sides we get
508.68
now we add this to 113.04 we get
621.72
since I used 3.14 instead of more digits of pie we can round this up so the answer is C.
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BIFFY OUT!!!
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Answer:
the probability is a fraction or a percentage, some times even a decimal
if matrix A is of the size 2×3 and we are able to add matrix B to A. what must be the size of B be?
Answer:
6 be because 2×3 =6 so B it will be the given answer
Lexie started her homework at 4:30 P.M. She finished at 5:05 P.M. How many seconds did it take her to finish her homework?
Answer:
2100 seconds
Step-by-step explanation:
4:30 P.M. → 5:05 P.M. there are 35 minutes in between.
1 minute = 60 seconds
35 minutes × 60 seconds = 2100 seconds
Question Progress
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A semicircle has radius 8.2 cm.
Work out the area of this semicircle.
Take a to be 3.142 and give your answer to 1 decimal place.
Answer:
Area = 105.6 square cm
Step-by-step explanation:
[tex]Area \ of \ circle = \pi r^2\\Area \ of \ semi-circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.142 \times 8.2^2 = 105.6cm^2[/tex]
On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5). What is the equation of the line parallel to the given line with an x-intercept of 4? y = x +
Answer:
Step-by-step explanation:
A line that is parallel to the line that goes through (-3, -3) and (-1, 5) will have the same slope as the one we will find when we plug those numbers into the slope formula. Let's do that first:
[tex]m=\frac{5-(-3)}{-1-(-3)}=\frac{5+3}{-1+3}=\frac{8}{2}=4[/tex] so the line we need to write has a slope of 4. Moving on...
If the x-intercept we need is 4, that means that we need to understand what an x-intercept is. The x-intercept exists where y = 0; so what we need to do is to write the equation of the line that has a slope of 4 and passes through the point (4, 0). Doing that:
y - 0 = 4(x - 4) and
y = 4x - 16
Answer:
Answer above is correct!
First Box: 4
Second Box: -16
Step-by-step explanation:
Hope this helps :D
convert 1 to 1000 in roman numbers
OFFERING 15 POINTS FOR THIS QUESTION PLS DONT SCAM
Answer:
96
Step-by-step explanation:
3^4 = 81
3 * 5 = 15
81 + 15 = 96
You roll a standard number cube. Find P (number greater than 5)
Answer:
1/6
Step-by-step explanation:
Solve for x in the diagram below
Answer:
26.67
Step-by-step explanation:
Calculate the price relative
Answer:
146.3
Step-by-step explanation:
The price relative is the product of 100 and ratio of the current price to the base price. It is given as:
[tex]Price\ relative=\frac{P_n}{P_o}*100\\\\Where\ P_n\ is\ the \ price\ of\ commodity\ in\ the\ current\ period\ while\ P_o\ is\\the\ price\ of\ commodity\ in\ base\ period.[/tex]
Given that the base price is the truck cost in 2008 = $27000 and the current price is the price of the truck in 2012 = $39500. Hence:
Price relative = ($39500 / $27000) * 100 = 146.3
Therefore the price relative is 146.3
What is the value of O!?
Answer:
oxygen
Step-by-step explanation:
Which set of side lengths forms a right triangle?
O 2,3, 13
O 4,6, 10
O 9, 12, 18
O 15, 36, 39
Awnser:
9,12,18
Step-by-step explanation:
you have to add the smallest numbers together and it has to be greater that the greatest number.
9+12= 21
21>18
Helppp ASAAPPPP WILL MARK AS BRAINLIST
PLS HELP WITH 4 and 5 ASAPPP FOR BRAINLIEST
Answer:
4. SAME SLOPE, SAME Y INTERCEPT.
When this happens... The system of Equations has an Infinite Number of solutions.
A IS YOUR ANSWER
5.
A system of Equations has no solution when the graph of the system are PARALLEL LINES.
OPTION D IS YOUR ANSWER.
what type of number is the square root of -36 natural, whole, real or imaginary
Answer:
Imaginary
Step-by-step explanation:
after calculating the square root of 36, and "i" came after it indicating it was an imaginary number.
A running track has two semi-circular ends with radius 29m and two straights of length 91.3m as shown.
Calculate the total distance around the track rounded to 1 DP.
Answer:
Step-by-step explanation:
The first term of a G.P are as follows: m, m2 +4, 16m. Find the 5th term.
Answer:
512
Step-by-step explanation:
To effectively answer the question, let us calculate the value of m. This can be obtained as follow:
m, (m² + 4), 16m
1st term (T₁) = m
2nd term (T₂) = m² + 4
3rd term (T₃) = 16m
Common ratio = T₂/T₁ = T₃/T₂
(m² + 4) / m = 16m / (m² + 4)
Cross multiply
(m² + 4)(m² + 4) = m × 16m
(m² + 4)² = 16m²
Take the square root of both side
√[(m² + 4)²] = √(16m²)
m² + 4 = 4m
Rearrange
m² – 4m + 4 = 0
Solving by Factorisation
m² – 2m – 2m + 4 = 0
m(m – 2) – 2(m – 2) = 0
(m – 2)(m – 2) = 0
(m – 2)² = 0
Take the square root of both side
m – 2 = 0
m = 2
Thus,
1st term (T₁) = m = 2
2nd term (T₂) = m² + 4 = 2² + 4 = 8
3rd term (T₃) = 16m = 16 × 2 = 32
The sequence => m, (m² + 4), 16m
Becomes
2, 8, 32
Finally, we shall determine the 5th term. This can be obtained as follow:
1st term (a) = 2
Common ratio (r) = 2nd / 1st = 8/2 = 4
5th term (T₅) =?
T₅ = ar⁴
T₅ = 2 × (4)⁴
T₅ = 2 × 256
T₅ = 512
Therefore, the 5th term is 512
∠DEF and ∠FEG are supplementary. m∠DEF=(3x+5)°, and m∠FEG=(2x)°. What is the measure of ∠DEF?
Answer:
DEF = 110
Step-by-step explanation:
Supplementary angles add to 180
3x+5 +2x = 180
Combine like terms
5x +5 = 180
Subtract 5 from each side
5x = 175
Divide each side by 5
5x/5 = 175/5
x =35
DEF = 3x+5
= 3*35 +5
= 105+5
= 110
PLEASEEEE HELPPP IM BEING TIMEDDD WILL GIVE BRAINLIEST AND POINTS
Choose the polynomial written in standard form.
xy2 + 4x4y + 10x2
x4y2 + 4x3y + 10x
x4y2 + 4x3y5 + 10x2
x6y2 + 4x3y8 + 10x
Answer:
Can you please organize them so that the exponents are marked as x^2?
Step-by-step explanation:
To me, none of this is in standard form because the numbers are before the variables.
A construction crew is using heavy equipment to dig a hole in which the foundation of a house will be built. The hole
will be in the shape of a right rectangular prism with dimensions of 4 feet in depth, 100 feet long, and 50 feet wide.
The soil will be removed using a truck that can hold a maximum of 40,000 pounds. The soil weighs 90 pounds per
cubic foot. What is the least number of truckloads needed to remove all of the soil?
Answer: 5
Step-by-step explanation: volume of hole = 100x50x4=20,000 ft
soil weighs : 20000x90=180,000 pounds
180,000 divided by 40,000 = 4.5 ≈ 5
So the least number of truckloads is 5
Which number is closest to zero on the number line?
Answer:
the answer is .5 I think I'm sorry if I'm wrong
Which is the simplified form of the expression
Answer:
4 / x¹⁴y⁸
Step-by-step explanation:
eliminate parenthese by multiplying all exponents inside parentheses by the exponent outside the parentheses:
1/2⁶ ÷ 1/4⁴ = 1/64 ÷ 1/256 which equals 256/64 or 4
x⁻⁶y⁴ ÷ x⁸y¹² = x⁻¹⁴y⁻⁸ = 1/x¹⁴ · 1/y⁸
put it all together to get:
4÷(x¹⁴y⁸)
How many centimeters are equal to 9 meters? Enter your answer in the box.
Answer:
900 centimetres
Step-by-step explanation:
9x100=900
Hurry plz what is the following prouduct?
Answer:
2nd one
Step-by-step explanation:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
Answer:
A
Step-by-step explanation:
If post are space 5 feet apart and how many posts are needed for 60 feet of straight line fence
Answer:
12 posts are needed
Step-by-step explanation:
60 divided by 5 is 12