Answer:
n=7
[tex]3 {n}^{2} = 147 \\ {n}^{2} = \frac{147}{3} \\ \sqrt{ {n}^{2} } = \sqrt{49} \\ n = 7[/tex]
22
Liam is trying to remember a 3-digit code.
He knows the rule that
the first digit is a cube number
the second digit is a factor of 16
the third digit is an odd number.
Liam tries at random a code that matches the rule.
Work out the probability that this is the correct code.
[4 marks]
The first digit may be 1 or 8.
The second digit may be 1, 2, 4, 8.
The third digit may be 1, 3, 5, 7, 9.
There are [tex]2\times4\times5=40\:variants[/tex]
The probability that this is the correct code is [tex]\frac{1}{40}[/tex]
1/40 is the probability that this is the correct code.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that Liam is trying to remember a 3-digit code.
the first digit is a cube number so the first digit may be 1 or 8.
the second digit is a factor of 16.
The factor of 16 are 1, 2, 4 , 8.
Third digit is an odd number so the third digit may be 1, 3, 5, 7, 9.
There are 2×4×5 possibilities of Liam code.
40 possibilities
the probability that this is the correct code is 1/40
Hence, 1/40 is the probability that this is the correct code.
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The circumference of a circle is 20pi in. What is the area, in square inches? Express
your answer in terms of Pi
Answer:
10.14π
Step-by-step explanation:
First we have to work backwards. We know the forumla for circumference is pi x diameter. So we have to work backwards. 20 divided by pi is 6.37. So thats our diameter. Now that we that we can put it into our forumla for area. A= π x R^2.
The raidus is half of the diamater so 6.37/2. Which equals 3.185. Now we that into our formula. A= π x 3.185^2. Now we keep simplyifying the equation. 3.185^2=10.14. So now we have A=10.14π
which situation is the best for the equation 3x=288
Answer:
The situation best for the equation 3x=288 Is by dividing both sides by the coefficient of x to single out the variable
Step-by-step explanation:
=> 3x/3=288/3
=> x = 96
Step-by-step explanation:
Step 1: Determine a situation best for the equation
We walk into the store and see an amazing drone and the store has 3 of them. The total price for them is 288 dollars. Determine the individual price of each drone.
Hope this helps!
A plane left Chicago at 8:00 am. At 1:pm, the plane landed in Los Angeles, which is 1500 miles away. What was the average speed of the plane for the trip?
(average rate of change)
Answer:
it took the plane 5 hours to get there and now that you know the time it took for the plane to get there divide it by the miles which equals 300 miles per hour
If x = 10, which equation is true?
A 3 ( 20 - x) = 44
B3 ( 12 - x ) = 6
C2 x + 3 = 25
D2 x - 3 = 22
Answer:
B
Step-by-step explanation:
[tex]3(12-10)=3\cdot 2 = 6[/tex]
Multiply 0.35 times a power of ten so that the product is greater than 1, but less than 1000. Write the expression.
Answer:
See belowStep-by-step explanation:
Let the power is x, then we have the following inequality
1 < 0.35*10ˣ < 1000Solving we get
1/0.35 < 10ˣ < 1000/0.352.857 < 10ˣ < 2857.142log 2.857 < log 10ˣ < log 2857.1420.456 < x < 3.456Answer:
An answer is twenty.
Step-by-step explanation:
0.35^20 is the expression the equation would be 0.35^20=7.609
or: 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times... until you multiply 0.35 times 0.35 twenty times. Not 0.35 times 20, 0.35 times 0.35 twenty times, don't forget to move the decimal! An exponent is 20.
hope this helps!
A triangle has a base of x^1/2 m and a height if x^3/4 m. If the area of the triangle is 16m^2, what are the base and height of the triangle?
Answer:
Base = 4 m
Height = 8 m
Step-by-step explanation:
For triangle:
[tex]Base\: (b) = x^{\frac{1}{2}}\: m\\\\Height \:(h) = x^{\frac{3}{4}}\: m\\\\ A(\triangle)= 16\:m^2\\\\A(\triangle)= {\frac{1}{2}}(b)(h)\\\\\implies 16=\frac{1}{2}(x^{\frac{1}{2}})(x^{\frac{3}{4}})\\\\\implies 32= (x^{\frac{2}{4}})(x^{\frac{3}{4}})\\\\\implies 2^5=x^{\frac{3+2}{4}}\\\\\implies 2^5=x^{\frac{5}{4}}\\\\\implies 2=x^{\frac{1}{4}}\\\\\implies 2^4=x\\\\\implies x=16\:m[/tex]
[tex]Base\: (b) = x^{\frac{1}{2}}={16}^{\frac{1}{2}}={(4^2)}^{\frac{1}{2}}=4\: m[/tex]
[tex] Height\: (h) = x^{\frac{3}{4}}={16}^{\frac{3}{4}}={(2^4)}^{\frac{3}{4}}=(2)^3=8\: m[/tex]
11 Describe how the numbers-7-and-7 would be positioned relative to each
other on a horizontal number line.
Select one answer.
A The number-7 would be positioned to the left of -7 on a horizontal
number line because -7<-7.
B The number - 7 would be positioned to the left of -7 on a horizontal
number line because
use -7/>-7.
C The number - 7 would be positioned to the right of -7 on a horizontal
number line because -2
-7/1/2<-7.
D The number - 7 would be positioned to the right of -7 on a horizontal
number line because -7> -7.
Step-by-step explanation:
you have to be careful with the precise notation of terms and expressions.
you keep using only -7 for everything.
i suspect you mean 7 and -7, right ?
if that is correct, then just remember this :
on a number line the positive values are on the right, and the negative values on the left.
in fact, the further right you go, the larger the number gets. and the further left you go, the smaller (or lower) the number gets.
e.g. -7 is smaller than -6.
and so, -7 would be to the left of 7, because -7 < 7.
or vice versa :
7 would be to the right of -7, because 7 > -7
please help
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
What is the probability of getting exactly one head?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
1/2
Step-by-step explanation:
A coin has 2 sides, and it is flipped 3 times. 3 x 2 = 6. Each flip only has a head, so 3 flips would have 3 heads.
3/6 = 1/2
Which shape will result from taking a cross section of the tetrahedron through the points shown?
triangle
square
trapezoid
pentagon
Answer:
the anwer is a triangle as it is shown below.
10( 7+6s) its distributing
Answer:
10(7 + 6s) = 70 + 60s
Step-by-step explanation:
10(7 + 6s)
Distribute the 10 in the parenthesis. When distributing, multiply the number by every term in the parenthesis.
10 * 7 + 10 * 6s
Multiply.
70 + 60s
Answer:
10(7)+10(6s) which equals 70+60s
Why is this equation: [tex]\frac{(x-2)^{2}}{24} + \frac{(y+5)^{2}}{29}=1[/tex] an ellipse and not a circle?
Usually, you can tell if it's an ellipse because the coefficients of x and y are different. Here, though, they're the same, yet every website is telling me it's an ellipse and not a circle. Why is that?
THANKS!
well, your observation is correct, for the form
Ax² + Bx + Cy² + Dy + E = 0if the coefficients are the of x² and y² are different and the same sign then we have an ellipse, hmmm I usually see a circle as an ellipse with equal major and minor axes, because is basically just that.
However, the rational form you have is that of an ellipse indeed, we can change it about to the form above and you'll see it so.
Just bear in mind that for the rational form for conics
if both fractions are positive and their denominator different, is an ellipse
if both fractions are positive and their denominator equal, is a circle
if one of the fractions is negative, then we have a hyperbola, and on a hyperbola the traverse axis is always the denominator with the positive fraction, so if the denominator is under the "x" fraction, then the traverse axis is horizontal, if under the "y" fraction, then vertical.
based on that fraction, is an ellipse with a center at (2 , -5).
now, the larger denominator is 29 and it's under the "y" variable, that means the major axis is in the direction of the y-axis, so is a vertical ellipse if you wish. Check the picture below.
Many manufacturers reduce the size of their products to appear to reduce their prices.
The amount of cereal in a particular brand box was reduced by 2.1 ounces. This is a 14% reduction from the original amount. What was the original amount?
The original amount was
ounces.
Answer:
2.44 ounces
Step-by-step explanation:
100% - 14% = 86%
2.1 ÷ 0.86 = 2.44
I NEED HELP ON THESE QUESTIONS QUICKLY PLEASE!!!!
1. Maximize Z=2x+3y subject to the constraints:
3x+2y≤15
4x+y≤0
x≥0
y≥0
On the attachments I need questions 7,21,22.23and 25 answered and it has to be in the next 2 hours please this is very Important
1
The objective function Z = 2x + 3y cannot be maximized, while the maximum value of the objective function Z = 2x + 5y is 19
Part A (Question 1): Maximize ZThe objective function is given as:
Z = 2x + 3y
The constraints are given as:
3x+2y≤15
4x+y≤0
x≥0; y≥0
See attachment for the graph of the constraints
From the attached graph, we have the optimal solution to be:
(x,y) = (-3,12)
Because x≥0 & y≥0, and x is negative in (-3,12), then
The function cannot be maximized.
Part B (Question 7): Maximize ZThe objective function is given as:
Z = 2x + 5y
The constraints are given as:
x + y ≤ 5
y - x ≤ 1
x≥0; y≥0
See attachment for the graph of the constraints
From the attached graph, we have the optimal solution to be:
(x,y) = (2,3)
Substitute 2 and 3 for x and y in the objective function.
Z = 2 * 2 + 5 * 3
Evaluate
Z = 19
Hence, the maximum value of the objective function is 19
The questions 21, 22, 23 and 25 are not included in the attachment
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heyyyyyy suuuupppp....can someone please help me with this? thank you! :)))
Answer:
A: Second option
B: 18%
Step-by-step explanation:
PART A
The second option
0.40c(0.15) + 0.60c(0.20)
If we have 40% men, and 15% of them are advanced
we can say 40% x 15% x c which is the same as 0.40 x 0.15 x c
Same thing for the women
0.60 x 0.20 x c
PART B
0.40c(0.15) + 0.60c(0.20)
= 0.06c + 0.12c
= 0.18c which is the same as 18% of c
How do I convert the letter in an answered equation into a number, for example the answer 8.50246E6
Answer:
1Step-by-step explanation:
1 + IS 1 AND ITS 1
Answer:
See below
Step-by-step explanation:
E means exponent of 10
8.50246E6 means 8.50246 x 10^6 = 8502460
what is the best deal on flour .a .b .c .d
Answer:
2.5 is the best deal
Step-by-step explanation:
hope this helps
4. The circumference of a circle is 117 inches.
What is the area, in square inches, of the circle? Express your answer in terms of it.
Answer:
1089.34in²
Step-by-step explanation:
A=πr2
C=2πr
Solving for A
A=Csquared/4π = 117 squared / 4 * π = 1089.33601in²
Hope it helps
What is the perimeter of triangle ron? 10.0 units 15.0 units 18.7 units 23.7 units
The perimeter of the triangle RON is the sum of the side lengths
The perimeter of the triangle is 15 units
How to determine the perimeter of triangle?From the question, we have:
ON = 5 units
Side lengths ON and OR are radii of the circle O.
So, we have:
OR = ON = 5 units
The chord RN has a length of 5 units.
So, the perimeter of the triangle is:
P = OR + ON + RN
This gives
P = 5 + 5 + 5
Evaluate
P = 15 units
Hence, the perimeter of the triangle is 15 units
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Answer:
RON = 15.0
Step-by-step explanation:
Just did the test and got it right.
But question was I the only one who thought of Ron Weasley
Find the median of the data. 1, 8, 9, 2, –7, –5
Answer:
5.5
Step-by-step explanation:
firrst arrange them from least to greatest:
1,8,9,2,-5,-7
then cross out each side one by one until its in the middle
which leaves with 9 and 2
add both together
and get 11
divide by 2 which is 5.5
Find the length of h. Round to the nearest hundreth.
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
[tex]\cfrac{h}{0.3}~~ = ~~\cfrac{0.4}{0.5}\implies \cfrac{h}{~~ \frac{3}{10}~~}~~ = ~~\cfrac{~~ \frac{4}{10}~~}{\frac{5}{10}}\implies \cfrac{10h}{3}~~ = ~~\cfrac{4}{5} \\\\\\ 50h=12\implies h=\cfrac{12}{50}\implies h=\cfrac{6}{25}\implies h=0.24[/tex]
A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m, to the nearest tenths place?
301.6 cubic meters
Step-by-step explanation:A cylinder is a shape with straight sides with circular or oval cross-sections. We know that the cylinder in the question must be a circular cylinder due to its radius description.
Volume Formula
A circular cylinder has a volume of [tex]V=\pi r^2h[/tex]. In this equation, V is the volume, r is the radius, and h is the height. The question tells us that r=4m and h=6m. So, we can plug these values into the formula.
Solving for Volume
To solve plug the values into the formula and rewrite the equation.
[tex]V=\pi *4^2*6[/tex]Next, apply the exponents.
[tex]V=\pi *16*6[/tex]Then, multiply the constants.
[tex]V=\pi *96[/tex]Finally, multiply the remaining terms. Remember to use the pi button on the calculator and not an estimation to get a more exact value.
[tex]V=301.6[/tex]Make sure your answer is rounded to the correct digit. This means that the volume must be 301.6 cubic meters.
Which value is not a solution of the inequality 2 - 4 > 2?
Ox= 10
x = 6
o
Ox=4
O2 = 14
21
The inequality x -4 > 2 uses a greater than symbol
All numbers lesser or equal to 6 are not a solution of the inequality x -4 > 2
How to determine the value not in the solution?The inequality is given as:
x -4 > 2
Add 4 to both sides of the inequality
x - 4 + 4 > 2 + 4
Evaluate the sum
x > 6
The above means that only numbers greater than 6 are in the solution of the inequality.
Since the options are not given, I will give a general solution that all numbers lesser or equal to 6 are not a solution of the inequality x -4 > 2
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A parabola opening up or down has vertex (0,5) and passes through (4,1). Write its equation in vertex form.
Answer:
see below
Step-by-step explanation:
y = a ( x-0)^2 + 5 sub in the point given to calculate 'a'
1 = a (4)^2 + 5
-4 = 16a
a = - 1/4
y = -1/4 x^2 + 5
What type of error occurs if you fail to reject h0 when, in fact, it is not true?.
The type of error that occurs if you fail to reject h0 when, in fact, it is not true is a type 2 error.
What is a type 2 error?Type 2 error is when the null hypothesis is not rejected even though it is not false. Type 1 error is when the null hypothesis is rejected when it is true. A type 2 error leads to a false negative which is also known as an error of omission.
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What is the area of the following triangle?
Answer:
150in²
Step-by-step explanation:
area of traingle = (base x height)/2
here base = 25in and height = 12in
therefore area = (25 x 12)/2
150in²
Answer:
150in2
Step-by-step explanation:
The Formula is A= 1/2 bh
You multiply 25 x 12
300
Then you divide it by 2
Which expression is equivalent to 27/125?
Answer:
27/125
Step-by-step explanation:
Clearly, 27 and 125 are perfect cubes as:
27 = 3 × 3 × 3125 = 5 × 5 × 5Thus, this can be written as:
⇒ 27/125⇒ 3 × 3 × 3/5 × 5 × 5⇒ (3/5)³Given options:
a) (3/5)³b) 3/(5³)c) (3/4)²d) (3³/5⁵)Choice A
Help its 7th grade math
Answer:
Slope: 1
Y-Intercept: 3
Equation of the line: y=x+3
Step-by-step explanation:
1. Slope
Get two random points (eg. 0,3; -3,0)
x1-x2/y1-y2
0-(-3)/3-0
0+3/3
3/3=1
2. Y-intercept
The value of x when y=0
3. Equation of the line
y= mx+b
m= slope
b= y-intercept
y=1x+3
y=x+3
Four friends each flipped a coin different numbers of times. Alice got heads 75% of time.Mary got heads 8 out of 10 times. Sarah got heads 17 out of 20 times. Ellen got heads 3 5 of the time.
who had the greatest percentage of heads?
I FARTED HEHE
Step-by-step explanation:
IM 54
Which expression is equal to...