Answer:
the height that represents the 99th percentile is 69.324 inches
Step-by-step explanation:
Given that :
the mean height = 62.8 inches
standard deviation = 2.8 inches
For 99th percentile;
Let X be the random variable;
SO, P(Z≤ z) = 0.99
From the standard normal z tables
P(Z )= 2.33
The standard z score formula is :
[tex]z = \dfrac{X- \mu}{\sigma}[/tex]
[tex]2.33 = \dfrac{X- 62.8}{2.8}[/tex]
2.33 × 2.8 = X - 62.8
6.524 = X - 62.8
6.524 +62.8 = X
69.324 = X
X = 69.324
Therefore; the height that represents the 99th percentile is 69.324 inches
triangular park ABC has sides 3 m, 5 m, and 6 m. a gardener ravi wants to put a fence all around it and also plant grass inside. how much area does he need to plant?
Step 1) Check if the given triangle lengths form a right triangle
3^2 + 5^2 = 6^2
9 + 25 = 36
36 = 36
Step 2) Solve for the area of the triangle
Formula: A = 1/2 x base x height
A = 1/2 x 3 x 5
A = 1/2 x 15
A = 7.5 m^2
Step 3) Solve for the perimeter of the triangle
Formula: P = sum of all sides
P = 3 + 5 + 6
P = 14 m
Ravi needs to plant 7.5m^2 of grass and put up a fence that is 14m in total length.
Hope this helps!! :)
Rewrite the fraction without an exponent (7/8)^-2
I also got the answer 64/49.
:D
The fraction [tex](\frac{7}{8})^{-2}[/tex] without an exponent can be written as [tex]\frac{64}{49}[/tex].
To rewrite the fraction [tex](\frac{7}{8})^{-2}[/tex] without an exponent, we can apply the rule of reciprocals.
Reciprocal of a fraction a/b is given by b/a.
So, taking the reciprocal of [tex](\frac{7}{8})^{-2}[/tex] , we get:
[tex](\frac{7}{8})^{-2}[/tex] =[tex](\frac{8}{7})^{2}[/tex]
Now let us simplify the numerator and denominator:
[tex]=\frac{8\times 8}{7 \times 7}[/tex]
[tex]=\frac{64}{49}[/tex]
Therefore, [tex](\frac{7}{8})^{-2}[/tex] can be rewritten as [tex]\frac{64}{49}[/tex].
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Which is the simplified form of x Superscript negative 12?
Answer:
1/x^12
Step-by-step explanation:
X^-12....simply move x^-12 to the other side of the division and change the sign of the exponent.
The simplified form of the expression x Superscript negative 12 is 1/ x¹².
What is the rule of exponent?The rule of the exponent is defined as the simplified form of the exponents
(aᵇ)ⁿ = aᵇⁿa⁻ⁿ = 1/aⁿaᵇ * aⁿ = aᵇ⁺ⁿaᵇ / aⁿ = aᵇ⁻ⁿwhere a is the base and b and n are the exponent.
Here given in the question is the expression that x superscript negative 12.
As we now superscript is to write the number in exponent position.
here -12 is written in the superscript of x.
then the mathematical expression will be converted as
x superscript negative 12 = x⁻¹²
As we know from the rule of exponent that a⁻ⁿ = 1/aⁿ where a is the base and n is the exponent.
x⁻¹² can be rewritten as x⁻¹² = 1/ x¹²
Therefore the simplified form of the expression x Superscript negative 12 is 1/ x¹².
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Classify the following expression by degree and term: x^3y + 5xyz A: 3rd degree trinomial B: 4th degree binomial C: 3rd degree binomial D: 5th degree binomial
Answer:
4th degree binomial
Step-by-step explanation:
x^3y + 5xyz
Add the exponents on each term
3+1 = 4 1+1+1 =3
The highest power is the degree, so it is a 4th degree
It also has 2 terms so it is a binomial
4th degree binomial
Answer:
B: 4th degree binomial
Step-by-step explanation:
I took the test flvs
In the regular decagon shown, what is the measure of angle 1?
Answer:
the angle will be 144
Step-by-step explanation:
All sides are the same length (congruent) and all interior angles are the same size (congruent).
To find the measure of the angles, you need to divide 1440 by 10 which = 144
If you are solving for the central angle then divide 360 by 10 which = 36
Answer:
b
Step-by-step explanation:
Each of three jars is filled with blackcurrant, raspberry, or strawberry jam. The labels on each are "raspberry", "strawberry," and "raspberry or strawberry." All three labels are wrong. What kind of jam is in the jar labeled "strawberry?
Answer:
Raspberry
Step-by-step explanation:
Strawberry label = raspberry
Raspberry label =strawberry
Strawberry and Raspberry label = blackcurrant
Find the equation of the line that is parallel to y=-3x+17 and goes through the point(-4,2)
Answer:
y=-3x-10
Step-by-step explanation:
Help please!!!!!!!!!!!
Answer:
B. 2/3
Step-by-step explanation:
To solve this we have to take into account this axioms:
- The total probability is always equal to 1.
- The probability of a randomly selected point being inside the circle is equal to one minus the probability of being outside the circle.
Then, if the probabilities are proportional to the area, we have 1/3 probability of selecting a point inside a circle and (1-1/3)=2/3 probability of selecting a point that is outside the circle.
Then, the probabilty that a random selected point inside the square (the total probability space) and outside the circle is 2/3.
Six friends went to a restaurant and agreed to share the bill equally. However, two people forgot their wallets so the other four friends' portions of the bill went up by $7 each. How many dollars was the total bill?
Answer:
The total bill was $84
Step-by-step explanation:
Ok so we know a few things, we know that the total cost of the bill is divisible by both 6 and 4, and we know that if we call the total cost of the bill x and the amount each person would pay if it was divided for 6 people y we can write these equations:
[tex]\frac{x}{6}=y[/tex]
[tex]\frac{x}{4}=y+7[/tex]
Now we can substitute the first equation into the second and solve for x
[tex]\frac{x}{4}=\frac{x}{6}+7\\\frac{x}{4}-\frac{x}{6}=7\\\frac{x}{12}=7\\x=7*12=84[/tex]
Therefore, the total bill was $84
The perimeter of a rectangle is 60 cm. The ratio of length to width is 3:2. Find the length and width of the rectangle.
Answer:
See below.
Step-by-step explanation:
The perimeter = 2*length + 2 * width.
As the ratio is 3:2 the fraction 3 / (3 +2) is used to find the length:
The measure of the 2 lengths = 3/ (3+2) * 60
= 3/5 * 60
= 36 cm
So the measure of the length = 18 cm
So the measure of the width = (60 - 36) / 2
= 24/2
= 12 cm.
In the given figure, ABCD is a parallelogram
and AD = 18 cm. The area of AABE is 5/6
that of ABCD.
(a) Find the length
of DE
(b) If the area
of ABCD is
450 cm?, find
the height
from B to AD.
Answer:
B
Step-by-step explanation:
The surface area of a solid is 10 square feet. The dimensions of a similar solid are
three times as great as the first. The surface area of the new solid in square feet
is...
PLEASE urgent
Answer:
90 ft²
Step-by-step explanation:
Given the sides of similar figures in the ratio a : b, then
ratio of areas = a² : b²
Here ratio of sides = 1 : 3 , thus
ratio of areas = 1² : 3² = 1 : 9
That is the surface area of the new solid is 9 times the first
SA = 9 × 10 = 90 ft²
The total surface area of the new solid in square feet is 90 square feet
Let the solid be a cube.
The surface area of a cube = 6L²
L is the length o the cube;
If the surface area of a solid is 10 square feet, then;
10 = 6L²
L² = 10/6
L = √10/6
If the dimensions of a similar solid are three times as great as the first, then;
New length Ln = 3√10/6
Total surface area of the new solid = 6Ln²
Total surface area of the new solid = 6(3√10/6)²
Total surface area of the new solid = 6(9*10/6)
Total surface area of the new solid = 6(90/6)
Total surface area of the new solid = 90 square feet
This shows that the total surface area of the new solid in square feet is 90 square feet
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Evaluate 3(4-2) Thanks!! Will give out brainliest
Answer:
6
Step-by-step explanation:
3(4-2)
PEMDAS says parentheses first
3 ( 2)
Then multiply
6
Answer:
The answer is 6Step-by-step explanation:
3(4 - 2)
Solve the terms in the bracket first
That's
4 - 2 = 2
So we have
3( 2) = 6
Hope this helps you
Which triangle with side lengths given below is a right triangle? Select Yes or No.
A. 10, 15, 20
B. 10, 24, 25
C. 9, 40, 41
D. 11, 60, 61
Answer:
C, or 9,40,41
Step-by-step explanation:
If each side of a square measures (32 + 8) write an equation you could use to find the area of the square.
9x^3+24x+64
9x^2+64
9x^2+48x+64
6x+16
Answer:
A = 9x² + 48x + 65
Step-by-step explanation:
Area of a Square Formula: A = lw
Since a square's length is equal to its width, we simply plug it into the formula:
A = (3x + 8)(3x + 8)
Then we simply use FOIL to expand the distribution)
First - 3x(3x) = 9x²
Outside - 8(3x) = 24x
Inside - 8(3x) = 24x
Last - 8(8) = 64
Lastly, we combine like terms
9x² + 24x + 24x + 64
9x² + 48x + 64
Jillian has three different bracelets (x y and z) to give to her friends as gifts In any order she prefers if the bracelet y is chosen first in how many ways can Jillian give out bracelets
Answer:
Number of ways to chose bracelet = 2 ways
Step-by-step explanation:
Given:
Total number of bracelet = 3
Y is chosen first
Find:
Number of ways to chose bracelet
Computation:
Y is chosen first so remain number of bracelet is 2
So,
Number of ways to chose bracelet = !2
Number of ways to chose bracelet = 2 × 1
Number of ways to chose bracelet = 2 ways
Given: x + 2 < -5. Choose the solution set.
Answer:
x < -7
Step-by-step explanation:
to isolate x we need to subtract 2 from both sides. -5-2 is -7, so the answer is x < -7
Answer:
x< −7
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
x+2-(-5)<0
Step by step solution :
STEP 1:
Solve Basic Inequality :
1.1 Subtract 7 from both sides
x < -7
Inequality Plot :
1.2 Inequality plot for
x + 7.000 < 0
How do i simplify Sin(312)?
Answer:
-0.743
Step-by-step explanation:
just plug it into a calculator
Answer:
it is also -sin(48)
Step-by-step explanation:
(Help now ) please help that will be much appreciated
Answer:
[tex](2x+3)(2x+3)[/tex]
Step-by-step explanation:
The given expression is
[tex]4x^2+12x+9[/tex]
Here, a=4, b=12, c=9.
Step 1: Multiply [tex]a\cdot c=4\cdot 9=36[/tex]
Step 2: Find the factors of ac that add to b.[tex]6\cdot 6=36[/tex] and [tex]6+6=12=b[/tex] So, two factors of ac are 6 and 6.
Step 3:[tex]4x^2+6x+6x+9[/tex]
Step 4:[tex](4x^2+6x)+(6x+9)[/tex]
Step 5:[tex]2x(2x+3)+3(2x+3)[/tex]
Step 6:[tex](2x+3)(2x+3)[/tex]
Therefore, the required factor form is [tex](2x+3)(2x+3)[/tex]. It can also written as [tex](2x+3)^2[/tex].
Lines m and p are parallel. If the slope of line m is 1/25 the
slope of line p?
Answer:
1/25
Step-by-step explanation:
Parallel lines have equal slopes.
So,
Slope of m = Slope of p = 1/25
Answer:
[tex]\boxed{\frac{1}{25}}[/tex]
Step-by-step explanation:
The lines are parallel. Two lines that are parallel have the same slopes.
slope of line [tex]m[/tex] = slope of line [tex]p[/tex]
[tex]slope= \frac{1}{25}[/tex]
Um reservatório possui inicialmente R litros de água, por conta de um vazamento, perde 5 litros a cada minuto. Indique a lei de formação de uma função que expressa a quantidade de água no reservatório em função do tempo
Answer:
A(t) = R -5(t)
t in minuto
Step-by-step explanation:
Nesta questão, estamos preocupados em estabelecer uma lei que forneça a quantidade de água presente no reservatório a qualquer momento, usando a quantidade inicial de água no reservatório e a taxa de perda de água do reservatório.
Agora, sabemos que a taxa de perda de água é de 5 litros por minuto.
Assim, podemos estabelecer a lei da seguinte forma; vamos chamar a quantidade de água a qualquer momento no reservatório A (t);
A lei é assim; A (t) = R -5t onde t representa o tempo que estamos considerando e é em minutos, enquanto R é o volume inicial de água no tanque.
The sum of ages Afful and Naomi is 34. In 5 years time , Afful will be 2 times the age on Naomi now. How old are they now.
Answer:
Afful is 21 and Naomi is 13.
Step-by-step explanation:
Let [tex]A[/tex] represent the age of Afful and [tex]N[/tex] represent the age of Naomi.
The sum of their ages is 34. In other words:
[tex]A+N=34[/tex]
In 5 years time, Afful will be two times the age of Naomi now. In other words:
[tex]A+5=2N[/tex]
Solve for the system. Substitute.
[tex]A+N=34\\A=34-N\\34-N+5=2N\\39=3N\\N=13\\\\A=34-N\\A=34-(13)\\A=21[/tex]
Afful is currently 21 and Noami is currently 13.
Answer:
Naomi=x
Afful=2x
In 5 years time= +5
So Naomi=x+5
and and Afful=2x+5
=x+5+2x+5=34
=3x+10=34
Subtract 10 on both sides
3x=24
Divide 3 on both sides
X=8
Check:
X=8
Naomi=16
In 5 years
=16+5=21
Naomi=8+5=13
13+21=34
Hope this helps
Step-by-step explanation:
Find the sum of two consecutive odd numbers is 56 find the numbers
Answer:
[tex]\boxed{\sf 27 \ and \ 29}[/tex]
Step-by-step explanation:
Let the first consecutive odd integer be [tex]\sf x[/tex].
Let the second consecutive odd integer be [tex]\sf x+2[/tex].
The sum of the two numbers is 56.
[tex]\sf x+x+2=56[/tex]
[tex]\sf 2x+2=56[/tex]
[tex]\sf 2x=54[/tex]
[tex]\sf x=27[/tex]
Put x as 27 for the second consecutive odd integer.
[tex]\sf 27+2=29[/tex]
The two numbers are 27 and 29.
Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer. Sample Adventure Beach Cruise Ski A 6 5 70 19 B 1 6 72 21 Which of the following inferences can be made based on the data? -Most members per for a beach vacation -most members prefer an adventure vacation -more members prefer an adventure vacation and a ski vacation than a cruise vacation -more people prefer a beach vacation and a ski vacation then an adventure vacation
Answer:
The correct option is;
More people prefer a beach vacation and a ski vacation than an adventure vacation
Step-by-step explanation:
From the data in the sample;
Table of values, Sample
Vacation, A B
Adventure, 6 1
Beach, 5 6
Cruise, 70 72
Ski, 19 21
Total, 100 100
Therefore, we have that each member made or selected only on vaction option which gives;
The number of members that prefer a beach vacation and a ski vacation are;
Sample A = 5 + 19 = 24 members
Sample B = 6 + 21 = 27 members
The number of members that prefer an adventure vacation are;
Sample A = 6 members
Sample B = 1 members
Which shows that more people prefer a beach vacation and a ski vacation than an adventure vacation.
Answer:
The correct option is;
More people prefer a beach vacation and a ski vacation than an adventure vacation
Step-by-step explanation:
I just did the quiz .
..................................
Answer:
A
Step-by-step explanation:
Type in the equation of the graphing calculator and press graph
Write the following phrase as an expression. "the product of 6 and n" Please helpMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
6n=
Step-by-step explanation:
I hope this helps you
The expression is 6n.
What is an Expression ?An expression is a mathematical statement that has variables , constants and mathematical operators.
The phrase 6 and n in expression form is
6n
Therefore, the expression is 6n.
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Please answer this question now
Step-by-step explanation:
follow me....and mark it as brainliest
The tangent segments WX and YX are the same length. This can be proven by forming triangles WVX and YVX, and using the hypotenuse length rule to show the triangles are congruent.
So,
YX = WX
x-8 = 18
x = 18+8
x = 26
A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation
Answer:
ANSWER LINK
HELP!! Fiona races BMX around dirt course. If the radius of the course is 70 meters, what is the total distance Fiona covers in two laps of the race?
Answer:
879.64 (C)
Step-by-step explanation:
Answer:
879.2
Step-by-step explanation:
if the vertex of a parabola is (-4,6) and another point on the curve is (-3,14), what is the coefficient of the squared expression in the parabola's equation?
Answer:
8
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, 6 ), thus
y = a(x + 4)² + 6
To find a substitute (- 3, 14) into the equation
14 = a(- 3 + 4)² + 6 ( subtract 6 from both sides )
8 = a
Thus the coefficient of the x² term is a = 8