This question is incomplete because the options are missing; here is the complete question:
Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the best way Kareem can get a representative sample?
A. He can randomly survey 50 boys in the school.
B. He can survey 30 students in the school band.
C. He can randomly survey 50 6th graders in the school.
D. He can survey 20 friends from his neighborhood.
The correct answer is C. He can randomly survey 50 6th graders in the school.
Explanation:
A representative sample is a portion of a population that shows the characteristics of all the population. In this context, for a sample to be representative it needs to include only individuals of the population that is studied. Also, ideally, individuals should be selected randomly as this guarantees the sample is not influenced by the researcher. According to this, option C is the best as this is the only one that focuses on the target population (6th graders) and the sample is random, which contributes to the sample being objective and representing the behavior of 6th-graders.
Answer:
He can randomly survey 50 sixth-graders in the school.
Step-by-step explanation:
Let vector a = 3i + j - k.
Find the vector b in the direction of vector a such that |b| = 5
Answer:
5i +(5/3)j - (5/3)k
Step-by-step explanation:
Vector b is in the same direction as vector a, so it is a scalar multiple of a.
b = ca for some positive real number c.
b = c(3i + j - k) = 3ci + cj - ck
|b| = sqrt[(3c)^2 + c^2 - c^2] = sqrt(9c^2) = 3c
If |b| = 5, then 3c = 5 and c = 5/3
That makes b = (5/3)(3i + j - k) = 5i +(5/3)j - (5/3)k
About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number.
183 meters
250 meters
366 meters
683 meters
Answer:
A. 183 meters
Step-by-step explanation:
Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B. About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number. A) 183 meters B) 250 meters C) 366 meters D) 683 meters
Find distance BC
Cos (60°)=BC / AB (Adjacent divided by the hypotenuse)
Cos (60°)=1/2
BC=a
AB=500
Cos (60°)=BC / AB
1/2=a/500
1/2 * 500=a
250=a
a=250m
Find distance AC
Sin(60°)=AC/AB (opposite side divided by hypotenuse)
Sin(60°)=√3/2
AC=b
AB=500
Sin(60°)=AC/AB
√3/2=b/500
√3/2 * 500=b
250√3=b
b=433m
Distance AC and BC=AC+BC
433m+250m=683m
Subtract the distance AB from AC+BC
= 683m - 500m
=183m
Answer is A. 183 meters
Answer:
A. 183 meters
Step-by-step explanation:
sin(60) = x/500
= 433
tan(60) = 433/x
= 250
This is the driving distance. 433+250= 683. Directly walking (using hypotenuse distance) is 500.
683-500=183!
Where r is the radius of the cylinder and h is the height of the cylinder. Find the surface area when r is 3 inches and h is 5 inches. A. 50π in² B. 112π in² C. 48π in² D. 80π in²
Answer:
C
Step-by-step explanation:
The surface area of a cylinder is given by this formula:
● Sa = 2×r^2× PI + 2r×Pi×h
r is 3 inches and h is 5 inches.
● Sa = 2×3^2 × Pi + 2×3×Pi×5
● Sa = 48 × Pi in^2
Find the distance between points K(−1, −3) and L(0, 0). Round to the nearest tenth.
Answer:
d = √10
Step-by-step explanation:
[tex]K(-1, -3) , L(0, 0).\\\\d=\sqrt{((x_2-x_1)^2+ (y_2-y_1)^2) } \\\\x_1 =-1\\\\y_1 =-3\\\\x_2 =0\\\\y_2 =0 \\\\d = \sqrt{(0-(-1))^2+(0-(-3))^2}\\\\ d = \sqrt{(0+1)^2+(0+3)^2}\\\\ d = \sqrt{(1)^2 + (3)^2}\\\\ d = \sqrt{1 + 9}\\\\ d = \sqrt{10} \\[/tex]
Answer:
[tex]\huge\boxed{|KL|=\sqrt{10}\approx3.2}[/tex]
Step-by-step explanation:
METHOD 1:The formula of a distance between two points (x₁; y₁) and (x₂; y₂):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have K(-1; -3) and L(0; 0). Substitute:
[tex]|KL|=\sqrt{(0-(-3))^2+(0-(-1))^2}=\sqrt{3^2+1^2}=\sqrt{9+1}=\sqrt{10}}[/tex]
METHOD 2:Look at the picture.
We have the right triangle with the legs 3 and 1.
Use the Pythagorean theorem:
[tex]leg^2+leg^2=hypotenuse^2[/tex]
substitute:
[tex]3^2+1^2=|KL|^2\\\\|KL|^2=9+1\\\\|KL|^2=10\to|KL|=\sqrt{10}[/tex]
PLS HELP ME ANSWER THIS QUESTION I DONT UNDERSTAND IT I WILL GIVE BRAINLIST AND A THANK YOU!!!!
Answer:
x=150°
Step-by-step explanation:
Using the vertical angle theorem, you can infer that AEC and DEB are in fact the same angle, 20°, and the same goes for FED and CEG, both 130°.
So, x spans AEC and CEG so is 20° + 130° = 150°
If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the total number of marshmallows is given by the expression 5(x+12). Identify an equivaler expression
The answer of the question is 60.
Answer:
The expression that is equivalent to the given expression is:
5x+60
Step-by-step explanation:
It is given that:
if you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows.
so, let x be the initial number of marshmallows in each bag and now 12 are added to each bag this means that the number of marshmallows in each bag is:
x+12
Hence, total number of marshmallows in 5 bags is:
5(x+12)=5×x+5×12
5(x+12)=5x+60
Hence, the answer is:
5x+60
Feel free to brainliest :)
4. (01.03 MC)
Karissa purchased a set of LED lights online that normally sells for $65.00 but was marked down to $57.20. What is the discount rate Karissa received? (2 points)
A 12% B 22 C 67%
Answer:
12% discount
Step-by-step explanation:
Take the change in price
65 - 57.20 =7.80
And divide by the original price
7.80/65=.12
Change to percent form
12%
Lines EG and FH are parallel. a. Name all the angles congruent to angle ABE. 7.1 D G b. Wnte an equation that represents the relationship between angle FCD and angle HCD.
Answer a here (separate answers with a comma): *
Answer b here: *
Answer:
a. GBC, FCB, DCH
b. FCD+HCD=180
Step-by-step explanation:
A
by vertical angles ABE=GBCby corresponding angles ABE=FCBby alternate exterior angles ABE=DCHB
FCD and HCD form a straight line which is equal to 180The angles that are congruent to ABE are BCF, DCH, and CBG
Angles FCD and HCD lie on the same straight line. This means that the sum of both angles will sum up to 180degrees since the sum of angle of a straight line is 180degrees (supplementary). Hence the required equation will be:
<FCD + <HCD = 180
An angle is a point where two lines meet or intersect.
The angles that are congruent to ABE are BCF, DCH, and CBG
ABE = BCE (corresponding angle)
Since BCE = DCH (vertically opposite angles), hence:
ABE = DCH (vertically opposite angles)
Also, we can see that DCH = CBG (corresponding angles), hence:
ABE = CBG (corresponding angle)
b) From the given diagram, we can see that angles FCD and HCD lie on the same straight line. This means that the sum of both angles will sum up to 180degrees since the sum of angle of a straight line is 180degrees (supplementary). Hence the required equation will be:
<FCD + <HCD = 180
Learn mre here: https://brainly.com/question/14941189
The value of a car is $20,000. It loses 10.7% of its value every year . Find the approximate monthly decrease in value . Round your answer to the nearest tenth.
Answer:
$178.3
Step-by-step explanation:
The value of a car is $20,000
The car loses 10.7% of its value yearly
Since there are 12 months in a year then 10.7% can be represented as
10.7%/12
= 0.8916%
Therefore the approximate monthly decrease in value can be calculated as follows
= $20,000×0.8916/100
= $20,000×0.008916
= $178.3
Hence the approximate monthly decrease in value is $178.3
Find the value of x
Answer:
C
Step-by-step explanation:
Using exterior angle property, we have 97+4x+7=17x+13. 13x=91, x=7
a rectangular rug is 1.8m long 0.7 wide, all measurement are given to 1 decimal place
(They have been tranucated and not rounded)
A) state the minimum possible length of the rug
B) calculate the maximum possible area of the rug
Which statement best explains why the sine of an acute angle is equal to the cosine of the angles complement
Answer:
Option (B)
Step-by-step explanation:
From the figure attached,
ΔABC is a right triangle.
Cosine and Sine ratios from the given triangle will be,
SinA = [tex]\frac{\text{Opposite side}}{Hypotenuse}[/tex]
= [tex]\frac{a}{c}[/tex]
CosB = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{a}{c}[/tex]
Therefore, both the ratios (Sine and Cosine) will be equal as [tex]\frac{a}{c}[/tex]
Option (B) will be the correct option.
Factor out the greatest common factor from 4x4 + 12x2 + 8x.
4(x4 + 3x2 + 2x)
2x(2x3 + 6x + 4)
4x(x3 + 3x + 2)
2(2x4 + 6x2 + 4x)
Answer:
4x( x^3 +3x+2)
Step-by-step explanation:
4x^4 + 12x^2 + 8x
Factor out 4x
4x( x^3 +3x+2)
Find the value of x.
ASAP!!
Answer:
x = 80
Step-by-step explanation:
Tangent Chord Angle =1/2 Intercepted Arc
40 = 1/2 x
80 = x
A spray irrigation system waters a section of a farmer’s field. If the water shoots a distance of 85 feet, what is the area that is watered as the sprinkler rotates through an angle of 60 degrees? Use 3.14 for pi . Round your answer to the nearest square foot, and enter the number only.
Answer:
3,781
Step-by-step explanation:
To solve this problem, we will find the area of the whole circle and use that to find teh area of the 60º section.
First, recognize the formula for the area of a circle:
A = 3.14[tex]r^{2}[/tex]
In this scenario, the radius (r) is 85 feet:
A = 3.14(85[tex])^{2}[/tex]
A circle is 360º and we only require the area of 60º. 360º / 60º = 6 so we will divide by 6:
A = [tex]\frac{3.14(85)^{2} }{6}[/tex]
Finally, we will simplify and round:
A = 3,781
The length of country & western songs has mean 151 seconds and standard deviation 30 seconds. Determine the probability (as percent) that a random selection of 20 songs will have mean length of less than 149.75 seconds.
Answer:
48.514%
Step-by-step explanation:
The formula for calculating a z-score is is z = (x -μ)/σ,
where x is the raw score = 149.75
μ is the sample mean = population mean = 151 seconds
σ is the sample standard deviation
= Population standard deviation/√n
Where n = 20 songs
Population standard deviation = 30
Hence, sample standard deviation
30/√20
= 6.7082039325
z = (x -μ)/σ
z = 149.75 - 150/6.7082039325
z = -0.03727
Using the z score table to find the probability, we have :
P(x<149.75) = 0.48514
In percent = 0.48514 × 100
= 48.514%
Therefore, the probability (as percent) that a random selection of 20 songs will have mean length of less than 149.75 seconds is 48.514%
What is the solution of ?
Answer:
The answer to your question would be x=12. Equation is worked out below
Step-by-step explanation:
5 /2 x−7= 3 /4 x+14
5 /2 x-3/4x − 7 = 3 /4 x-3/4x +14
7/ 4 x−7=14
7 /4 x−7+7=14+7
7/ 4 x=21
do the opposite of 7/4x (division)
7/4 / 7/4x = 21 / 7/4
4/7 / 7/4x (cross each other out) = 21 / 4/7
x=12
Answer:
[tex] \frac{5}{2}x - 7 = \frac{3}{4} x + 14 \\ \frac{5}{2} x - \frac{3}{4} x = 14 + 7 \\ \frac{7}{4} x = 21 \\ x = \frac{21 \times 4}{7} \\ x = 12[/tex]
I hope I helped you^_^
PLEASE help me with this question! No nonsense answers please. This is really urgent.
Answer:
A) 15.6 ft²
Step-by-step explanation:
Area of the circle
A=[tex]\pi[/tex]r²
A=[tex]\pi[/tex](5.7)²
A=102.07
Area of the segment
102.07*55/360
15.594
What is the answer to 5/8 - 1/4^2
Answer:
9/16
Step-by-step explanation:
5/8 - 1/4^2
Exponents first
5/8 - 1/16
Get a common denominator
5/8 *2/2 - 1/16
10/16 - 1/16
9/16
what is the answer? I need help!! please and thank you
Answer:
B
Step-by-step explanation:
27%=0.27 and sqrt(2)<2.75
My computer can download a movie in 5 hours. If I install an extra processor it can download the movie in 4 hours. How long, working alone, would it have taken the new extra processor to download the movie?
Answer:
20 hours
Step-by-step explanation:
Computer download=5 hours
Computer + Extra processor=4 hours
Computer's rate =1/5 per hour
Computer + extra processor rate=1/4 per hour
Extras processor rate=1/x
Where,
x=how long it takes extra processor to get the job done on its own.
To find x, we have to solve the equation
1/5 + 1/x = 1/4
Subtract 1/5 from both sides
1/5 + 1/x -1/5 = 1/4-1/5
1/x=1/4-1/5
1/x = 5-4/20
1/x = 1/20
Cross product
1(20)=x(1)
20=x
x=20 hours
It would have taken the new extra processor alone 20 hours to download the movie
Determine the value of x!
Answer:
x = 17.51
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 35 = x/25
25 tan 35 =x
x=17.50518
A rectangle has an area of 104 cm2 and a width
that measures 8 cm. Find the perimeter of the
rectangle.
Answer:
42 cm
Step-by-step explanation:
104/8 = 13
13 + 13 + 8 + 8 = 42 cm
Make the biggest possible number using the digits below only once 4 , 5 , 5 answer
Answer:
554
Step-by-step explanation:
The largest number (5) should go in the hundreds place, the second-largest number (also 5) should go in the tens place and the smallest number (4) should go in the units place so the answer is 554.
Find the FACTORS of
36
Answer:
factors of 36 are 1,2,3,4,6,9,12,18,and 36
What is an algebraic expression for the word phrase 6 times a number n?
Answer:
6n i guess?
Step-by-step explanation:
think of as this
n=1 (1n)
n×6=n6
Answer:
6n
Step-by-step explanation:
when we say 6times a number,it means 6 multiplying the number
7 kids on the basketball team return sick from a weekend playing games at Lakenheath High school with a virus. The aggressive virus spreads at 130% each day. How long many days till 500 students are sick at school?
Answer:
It would take 6 days for 500 students to be affected.
Step-by-step explanation:
Given that:
1. Seven kids returned with the virus.
2. The aggressive virus spreads at 130% each day.
We want to find how many days until 500 students are infected by the virus.
First day:
7 students have the virus, 130% of 7 student will contract the virus again.
130% of 7 = (130/100) × 7
= 1.3 × 7 = 9.1 ≈ 9
9 new students are affected
New total affected = 7 + 9 = 16 students.
Day 2:
Affected = 1.3 × 16 = 20.8 ≈ 20
New total affected = 20 + 16 = 36
Day3
Affected = 1.3 × 36 = 46.8 ≈ 46
New total affected = 36 + 46 = 82
Day4
Affected = 1.3 × 82 = 106.6 ≈ 106
New total affected = 106 + 82 = 188
Day5
Affected = 1.3 × 188 = 244.4 ≈ 244
New total affected = 244 + 188 = 432
Day6
Affected = 1.3 × 432 = 561.6 ≈ 561
New total affected = 561 + 432 = 993
Therefore, it would take 6 days for 500 students to be affected.
BRAINLIEST!!!
What are the coordinates of P?
Answer:
Step-by-step explanation:
A kite is symmetrical about its vertical axis, so
if it is a kite, P is the reflection of (b,0), so its coordinates are
(-b,0) by reflection about the y-axis.
there are 10 boys and 6 girls. How many ways are there to choose 8 people to get at most 5 girls
Answer:
Hello,
Step-by-step explanation:
0 girls and 8 boys :
[tex]\left(\begin{array}{c}10\\ 8\end{array}\right)=10*9*8*7*6*5*4*3/8!=45\\\\[/tex]
1 girl and 7 boys:
[tex]\left(\begin{array}{c}6\\ 1\end{array}\right)*\left(\begin{array}{c}10\\7\end{array}\right)=6*10*9*...*4/7!=6*120=720\\\\[/tex]
2 girl and 6 boys:
[tex]\left(\begin{array}{c}6\\ 2\end{array}\right)*\left(\begin{array}{c}10\\6\end{array}\right)=60*210=1260\\[/tex]
3 girl and 5 boys:
[tex]\left(\begin{array}{c}6\\ 3\end{array}\right)*\left(\begin{array}{c}10\\5\end{array}\right)\\[/tex]
4 girls and 4 boys:
[tex]\left(\begin{array}{c}6\\ 4\end{array}\right)*\left(\begin{array}{c}10\\4\end{array}\right)[/tex]
5 girls and 3 bys:
[tex]\left(\begin{array}{c}6\\ 5\end{array}\right)*\left(\begin{array}{c}10\\3\end{array}\right)[/tex]
I let you to calculate and make the sum.
Please answer now question
Answer:
v=168
Step-by-step explanation: