Answer:
Step-by-step explanation:
[tex]a_n=\frac{1}{3} a_{n-1}[/tex]
Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students
on his football team and the fifteen students on his basketball team to gather the data. What is wrong with Rodell's
method for collecting his data?
Rodell only polled fellow athletes, this sample does not represent nonathletes at the school.
* Rodell needs a larger sample size than two sports teams to represent a whole school.
Rodell polled everyone on his teams; he should have only polled every other student for it to be a true sample.
Rodell’s polling method only included fall and winter sports, he should have also included a spring sport like
baseball
(it’s not B on edge, don’t answer if you don’t know thanks)
Rodell needs a larger sample size than two sports teams to represent a whole school.
Important Information : Study is conducted about favourite gaming app among students at school, 30 & 15 students of football & basketball team are polled.
Finding : Issue in Rodell's method of collecting data
The issue in this sampling : Rodell needs a larger sample size than two sports teams to represent a whole school.
Sample selected from universe should be very carefully chosen, to be a good representative of universe.
Here, Rodell has chosen only two sports' team members as sample for the study of favourite gaming app. Such kind of sample having more uneven concentration of any type of population members doesn't denote sample being a good representative of population.
To learn more Sampling, refer https://brainly.com/question/24842573?referrer=searchResults
Use the stem and leaf plot above to answer the following question.
Lower quartile :
Medial:
Upper quartile:
Answer:
Lower quartile - (20+32) divided by 2 = 26
Median - (43+46) divided by 2 = 44.5
Upper quartile - 51
Step-by-step explanation:
64
Find the area of the parallelogram with vertices:________.
P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4).
Answer:
97.98
Step-by-step explanation:
The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;
Area of the parallelogram = |PQ×PS|
PQ = Q-P and PS = S-P
Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)
PQ = (4,-5,3) - (0,0,0)
PQ = (4,-5,3)
Also, PS = S-P
PS = (8,-12,4)-(0,0,0)
PS = (8,-12,4)
Taking the cross product of both vectors i.e PQ×PS
(4,5,-3)×(8,-12,4)
PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k
PQ×PS = -16i - 40j -88k
|PQ×PS| = √(-16)²+(-40)²+(-88)²
|PQ×PS| = √256+1600+7744
|PQ×PS| = √9600
|PQ×PS| ≈ 97.98
Hence the area of the parallelogram is 97.98
What does 3ˣ + 4·3ˣ⁺¹ =
a. 13·3ˣ⁺¹
b. 5·3ˣ⁺¹
c. 5·3²ˣ⁺¹
d. 13·3ˣ
Answer:
D. 13*3^x
Step-by-step explanation:
[tex]3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x[/tex]
The solution of 3ˣ + 4·3ˣ⁺¹ is 13·3ˣ which is the correct answer would be an option (D)
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable
⇒ 3ˣ + 4·3ˣ⁺¹
⇒ 3ˣ + 4·3ˣ3¹
⇒ 3ˣ( 1 + 4·3)
⇒ 3ˣ( 1 + 12)
⇒ 3ˣ(13)
⇒ 13·3ˣ
Hence, the solution of 3ˣ + 4·3ˣ⁺¹ is 13·3ˣ which is correct answer would be option (D)
Learn more about exponential function here:
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9x + 8y when x = 4 and and y = -5
━━━━━━━☆☆━━━━━━━
▹ Answer
-4
▹ Step-by-Step Explanation
9x + 8y = ?
Substitute the value for x in:
9(4) + 8y
Substitute the value for y in:
9(4) + 8(-5)
Multiply:
9 * 4 = 36
8 * -5 = -40
9x + 8y = 36 - 40 = -4
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
simplify 2⁰+5¹+4³/7
Answer:
10
Step-by-step explanation:
2^0 = 1
5^1 = 5
4^3 = 4 x 4 x 4
=> 16 x 4
=> 64
=> 1 + 5 + 64 / 7
=> 6 + 64 / 7
=> 70 / 7
=> 10
So, the answer is 10
Help please 2 over 5D - 77 = 55.
Answer:
Step-by-step explanation:
2/(5d-77)=55
2=55(5d-77)
2/55=5d-77
5d=2/55 + 77
d = (2/55 + 77)/5
Hope you can calc that yourself
The number to which a base is raised to is called the ___. This tells you how many times to multiply the base together
Answer:
Exponent
Step-by-step explanation:
The base tells what number is being repeatedly multiplied, and the exponent tells how many times the base is used in the multiplication. Exponents and have special names. Raising a base to a power of is called “squaring” a number. Raising a base to a power of is called “cubing” a number.
Find the limit of the function algebraically. alt='limit as x approaches zero of quantity negative seven plus x divided by x squared.'
Answer:
lim x->0 (-8+x)/x^2
just plug in x = 0
(-8+0)/0
now this fraction is a negative number divided by 0.
So, it equals -infinity.
The limit value is infact -infinity,
so the given option, "Does Not Exit" is the best choice.
write an expression of the sequence of operations described below
subtract f from g then subtract 10 from the result
Answer:
the answer is: (g-f)-10
Distance between points (-3, 1) and (5, -2) rounded to the nearest tenth.
Answer:
d ≈ 8.5
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in our 2 coordinates into the formula:
d = √[(5 + 3)² + (-2 - 1)²]
d = √[(8)² + (-3)²]
d = √(64 + 9)
d = √73
d = 8.544
d ≈ 8.5
on a scale of map, 5cm represent 60km. if the distance between two points on the map is 8cm, find the actual distance between these points?
[tex]60 \div 5 = 12[/tex]
[tex]8 \times 12 = 96km[/tex]
Answer:
96 kilometers
Step-by-step explanation:
Let's set up a proportion using the following setup.
scale / actual = scale / actual
The scale is 5 cm to 60 km.
5cm / 60 km= scale/ actual
The distance on the map is 8 cm, but the actual distance is unknown. Therefore, we can say the actual distance is x km.
5 cm/ 60 km= 8 cm/ x km
5/60=8/x
Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the denominator of the first by the numerator of the second.
(5*x)=(8*60)
5x=8*60
5x=480
5 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 5.
5x/5=480/5
x=480/5
x=96
x= 96 km
The actual distance between the two points is 96 kilometers.
Dan paid $498.09 (including sales tax) for a laptop computer. The sales tax in his state is 7%. What was the price of the laptop before the sales tax was added?
Answer:
$465.50
Step-by-step explanation:
Let the price be x, then:
x + 0.07x = 498.091.07x = 498.09x = 498.09/1.07x = 465.50please help me with this question.
Answer:
[tex] \purple{ \boxed{\frac{d^{2} y}{dx ^{2} } = \frac{132}{ {x}^{13} } }}[/tex]
Step-by-step explanation:
[tex]y = \frac{1}{ {x}^{11} } \\ y = {x}^{ - 11} \\ \frac{dy}{dx} = \frac{d}{dx} {x}^{ - 11} \\ \frac{dy}{dx} = - 11{x}^{ - 11 - 1} \\ \frac{dy}{dx} = - 11{x}^{ - 12} \\ \\ \frac{d}{dx} \bigg(\frac{dy}{dx} \bigg) = \frac{d}{dx} ( - 11 {x}^{ - 12} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = - 11\frac{d}{dx} ( {x}^{ - 12} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = - 11( - 12{x}^{ - 13} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = 132{x}^{ - 13} \\ \\ \huge \red{ \boxed{\frac{d^{2} y}{dx ^{2} } = \frac{132}{ {x}^{13} } }}[/tex]
The volume of a cube is 1,000 cubic meters. What is the length (in meters) of one edge of the cube
Answer:
10
Step-by-step explanation:
Cube root of 1000
That's 10
Answer:
Calculator to find all the properties of a cube given any one property. ... Definition: The number of cubic units that will exactly fill a cube. Try this ... The volume of a cube is found by multiplying the length of any edge by itself twice.
four times the difference of a number and 7 is 12
answer
20
Step-by-step explanation:
I think you mean for times the difference of seven and 12 or (12-7)×4 if not sorry
Answer: 10
Step-by-step explanation:
4(x - 7) = 12
x - 7 = 3
x = 10
Find the
(i) Radius of the smaller sector.
(ii) Perimeter of the shape.
(iii) The angle
Answer:
Radius of the smaller sector = 12 cmPerimeter of the shape = 68 cmAngel = 47.72° (Approx)Step-by-step explanation:
Computation:
Length of arc = Θ/360[2πr]
20 = Θ/360(2)(22/7)(24)
Θ = 47.72°
Angel = 47.72° (Approx)
Length of arc = Θ/360[2πR]
10 = [47.72 / 360][2][22/7][R]
R = 12 cm
Radius of the smaller sector = 12 cm
Perimeter of the shape = 20 + 24 + 24
Perimeter of the shape = 68 cm
3 lines intersect to form 5 angles. Clockwise, from top left, the angles are B = question mark, 90 degrees, C = question mark, D = 124 degrees, A = question mark. What is the value of m∠A + m∠B? °
Answer:
The answer is 90 degrees
Step-by-step explanation:
Both A and B make a right angle, which is 90 degrees.
Hope it helped :)
The value of m∠A + m∠B is 90°
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
Three lines intersect to form 5 angles such that:
From the top left ∠B made and after this 90° made.
∠D = 124°
From the figure, we can clearly see ∠A = ∠C (vertically opposite angles)
We can calculate ∠C = 360°-90°-90°-124° ⇒ 56°
Also ∠A = 56°
and ∠B = 90° - 56° ⇒ 34°
Now we can calculate the sum of the angle ∠A+∠B = 56+34 ⇒ 90°
Thus, the value of m∠A + m∠B is 90°
Learn more about the vertically opposite angles here:
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The students of a certain college were asked to choose which of six movie genres was their favorite. The pie chart below shows the distribution of the students’ answers. If there are 18,500 students at the college, how many chose Drama , Other, or Comedy ?
Answer:
12950
Step-by-step explanation:
comedy : 20% => 20 × 18500 ÷ 100 = 3700
drama : 23% => 23 × 18500 ÷ 100 = 4255
other : 27% => 27 × 18500 ÷ 100 = 4995
all together: (20 + 23 + 27) × 18500 ÷ 100 = 3700+4255+4995 = 12950
The solution is 12950.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
from the given graph, we get,
comedy : 20%
=> 20 × 18500 ÷ 100
= 3700
drama : 23%
=> 23 × 18500 ÷ 100
= 4255
other : 27%
=> 27 × 18500 ÷ 100
= 4995
so, we get,
all together: (20 + 23 + 27) × 18500 ÷ 100
= 3700+4255+4995
= 12950.
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The boiling point of jet fuel is 329°F. Rounded to the nearest degree, what is the temperature in degrees Celsius? Use the formula C = 59(F – 32), where C represents degrees Celsius and F represents degrees Fahrenheit. A. 165°C B. 183°C C. 201°C D. 535°C
Answer:
17523° Celsius
Step-by-step explanation:
using the formula c=59(F-32), you have to plug the 329 into F like so-
C=59(329-32)
and then you're free to calculate! first you distribute the 59 like so...
C= (59 times 329)(59 times -32) getting C=19411-1888 which u then solve again to get 17523° Celsius
If y = x + 5 and x = 3 then y =
Answer:
y=8
Step-by-step explanation:
if you subsitute 3 into x then it will be y=3+5 which equals 8, so y= 8
List the next three numbers for the sequence: 7, 7 /2 , 7 /4 , 7/ 8
Answer:
7/16, 7/32, 7/64
Step-by-step explanation:
PLEASE GIVE BRAINLIEST OR AT LEAST A THANKS!
Answer:
7/16, 7/32, 7/64
Step-by-step explanation:
7, 7 /2 , 7/ 4 , 7/ 8
We multiply by 1/2 each time
7/8 *1/2 = 7/16
7/16*1/2 = 7/32
7/32 *1/2 = 7/64
- Marsha's Bakery packages cupcakes 24 to a box. She recently received an order from a local university for 2225 cupcakes. If she fill each box with 24 cupcakes, except for the last one, how many full boxes of cupcakes are needed and how many cupcakes will be in the last box?
Answer:
17.
Step-by-step explanation:
Divide 2225 by 24 and round down. (92) Multiply 92 by 24 and subtract that (2208) from the total number (2225). you get 17
Shirley wants to find the distance her unicycle moves on the sidewalk when the tire makes one complete revolution. If the diameter of her unicycle tire is 14 inches, find the distance the unicycle moves in one complete revolution. Use as an approximation for pi.
Answer:
44 in
Step-by-step explanation:
The circumference of the tire will be the same as the distance the unicycle moves in one complete revolution.
Find the circumference with the formula C = [tex]\pi[/tex]d, where d is the diameter
Plug in the values:
C = [tex]\pi[/tex](14)
C = approx. 44 in
solve this asap plsss Giving 20 points ty <3
Answer:
24
Step-by-step explanation:
first 2×2=4
then 16÷4
4×6
24
using addition formula solve tan 15
Answer:
2 - [tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the addition formula for tangent
tan(A - B) = [tex]\frac{tanA-tanB}{1+tanAtanB}[/tex] and the exact values
tan45° = 1 , tan60° = [tex]\sqrt{3}[/tex] , then
tan15° = tan(60 - 45)°
tan(60 - 45)°
= [tex]\frac{tan60-tan45}{1+tan60tan45}[/tex]
= [tex]\frac{\sqrt{3}-1 }{1+\sqrt{3} }[/tex]
Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.
The conjugate of 1 + [tex]\sqrt{3}[/tex] is 1 - [tex]\sqrt{3}[/tex]
= [tex]\frac{(\sqrt{3}-1)(1-\sqrt{3}) }{(1+\sqrt{3})(1-\sqrt{3}) }[/tex] ← expand numerator/denominator using FOIL
= [tex]\frac{\sqrt{3}-3-1+\sqrt{3} }{1-3}[/tex]
= [tex]\frac{-4+2\sqrt{3} }{-2}[/tex]
= [tex]\frac{-4}{-2}[/tex] + [tex]\frac{2\sqrt{3} }{-2}[/tex]
= 2 - [tex]\sqrt{3}[/tex]
Rewrite the expression by factoring out (w+6).
2w2(w+6) +7(w+6)
Answer:
Below
Step-by-step explanation:
● 2w^2 (w+6) + 7(w+6)
● (w+6) (2w^2 + 7)
Round 9.62 to the nearest whole number
Answer:
10
Step-by-step explanation:
Anything greater than 9.49 would be rounded to 10, if it were 9.49, it would be rounded to 9. But only look at the numbers after the decimal.
i.e. ;
7.23 = 7
3.33 = 3
8.89 = 9
14.56 = 15
26.91 = 27
Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a green marble, replacing it, and then picking a brown marble? The probability of a student having a skateboard is 0.49 and the probability of having rollerblades is .57. What is the probability that a student has both a skateboard and roller blades? If 50% of your friends like coffee and 70% like hot cocoa, what is the probability that one of your friends likes both coffee and hot cocoa?
Answer:
1. There are a total of 19 marbles in the bag. The probability of picking a green marble out of them is 4/19 since there are only 4 green ones. The probability of picking a brown marble after replacing what has been initially picked is 1/19. The final probability is the product of the two probabilities and that is 4/361.
2. ?
3. 60%
Step-by-step explanation:
Assume that adults have IQ scores that are normally distributed with a mean 105 of and a standard deviation 20 . Find the probability that a randomly selected adult has an IQ between 88 and 122 .
Answer:
0.6048
Step-by-step explanation:
Given the following :
Assume a normal distribution :
Mean (m) = 105
Standard deviation (sd) = 20
Find the probability that a randomly selected adult has an IQ between 88 and 122 .
Z = (x - m) / sd
For IQ score of 88:
Z = (88 - 105) / 20
Z = (-17) / 20
Z = - 0.85
For IQ score of 122:
Z = (122 - 105) / 20
Z = (17) / 20
Z = 0.85
P(-0.85<Z<0.85) = P(Z < 0.85) - P(Z < - 0.85)
P(-0.85<Z<0.85) = (0.8023 - 0.1977)
P(-0.85<Z<0.85) = 0.6048