Answer:
RangeThe range of the data is the difference between the largest data value and the smallest data value.
Therefore, the ranges are:
Boys: 10 - 3 = 7
Girls: 9 - 5 = 4
So the boys have a larger range than the girls.
MeanTo calculate the mean, add up all the data values then divide by the number of values.
[tex]\textsf{Mean of Boys}=\dfrac{3+6+7+7+8+8+8+8+9+10}{10}=\dfrac{74}{10}=7.4[/tex]
[tex]\textsf{Mean of Girls}=\dfrac{5+6+6+6+7+7+7+8+8+9}{10}=\dfrac{69}{10}=6.9[/tex]
So the boys have a higher mean than the girls.
PLEASE HURRY
Which graph shows the solution set for 2x+3 >-9?
-8-7-6-54-3-2-1012
+
-8-76-54-3-2-1012
-87-6-5-4-3-2-1012
-87-6-5-4
9
9
-1 0 1 2
The graph that represents the solution set for x > -6 is Graph D.
What is Number line?In mathematics, a number line is a straight line that represents numbers and their relative positions. It is a visual representation of the real number system.
To find the solution set for the inequality 2x + 3 > -9,
2x + 3 > -9
Subtract 3 from both sides:
2x > -12
Divide both sides by 2:
x > -6
The solution set for the inequality is x > -6, which means that x is greater than -6.
So, Among the given graphs, the graph that represents the solution set for x > -6 is Graph D.
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A student uses the equation tangent theta = startfraction s squared over 49 endfraction to represent the speed, s, in feet per second, of a toy car driving around a circular track having an angle of incline theta, where sine theta = one-half. to solve the problem, the student used the given value of sine theta to find the value of tangent theta and then substituted the value of tangent theta in the equation above to solve for s. what is the approximate value of s, the speed of the car in feet per second? 5.3 7.5 9.2 28.3
The approximate value of the speed of the car in feet per second is A. 5.32 ft/s.
How to find the spped?An equation is an expression that shows the relationship between two or more numbers and variables. In this case, tan(θ) = s² / 49
sinθ = 1/2
θ = sin⁻¹ (0.5) = 30⁰
tan(30) = s² / 49
s = 5.32 ft/s
Therefore, the approximate value of the speed of the car in feet per second is 5.32 ft/s.
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What is the measure of z?
store pays $50 for a pair of shoes. The markup is 25%.
a. What is the selling price for the shoes?
The selling price is $_
.
Question 2
b. What is the total cost for a person to buy the shoes including a 6% sales tax?
The total cost is $_
.
Answer:
75%
Step-by-step explanation:
Answer:
The selling price is $62.50 And b is is 75%
Step-by-step explanation:
WILL GIVE BRAINLIEST (08.03) Consider the following pair of equations:
y = 3x + 3
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
(- 2, - 3 )
Step-by-step explanation:
y = 3x + 3 → (1)
y = x - 1 → (2)
substitute y = 3x + 3 into (2)
3x + 3 = x - 1 ( subtract x from both sides )
2x + 3 = - 1 ( subtract 3 from both sides )
2x = - 4 ( divide both sides by 2 )
x = - 2
substitute x = - 2 into either of the 2 equations and evaluate for y
substituting into (2)
y = - 2 - 1 = - 3
solution is (- 2, - 3 )
Answer:
y = -3, x = -2
Step-by-step explanation:
1. Substitute "y = x - 1" in for y in the first equation:
x - 1 = 3x + 3
2. Isolate x:
x = 3x + 3 + 1
3. Combine like terms:
-2x = 4
4. Solve for x:
-2x/-2 = 4/-2
x = -2
5. Solve for y with substitution (using the second equation):
y = -2 - 1
y = -3
hope this helps!
what is the shaded part of the digestive (use 3. 14 as estimate for pi)
35 points for right answer
Answer:
Option A
Step-by-step explanation:
Area of shaded region
Square:
Side = 12 m
Area of square = Side *side
= 12 *12
= 144 square m
Circle:
diameter = side of the square
= 12 m
r = 12/2
r = 6 m
Area of circle = πr²
= 3.14 *6 * 6
= 113.04 m²
Area of the shaded part = area of square - area of circle
= 144 - 113.04
= 30.96 m²
Answer:
A
Step-by-step explanation:
it is option A and my answer got deleted…
Rebecca and Jago are proving the Pythagorean Theorem for a triangle. They arrange four congruent right triangles with sides
r
,
s
,
and
t
in the shape of a square, as shown.
Which equation could Rebecca and Jago use in their proof?
I'm sure the answer is B if it's not B it's A trust
triangle with side lengths 4 feet, 5 feet, and 8 feet
Answer:
Yed, it is possible as
Step-by-step explanation:
4 + 5 = 9
So, sum of two sides of a triangle is always greater than the third side(largest one)
The box-and-whisker plot below represents some data set. What is the value of the
lower quartile?
48
50
52
54
56
58
60
62
Answer:
53
Step-by-step explanation:
Please answer. Correct answer will be brainliest.
Answer:
161
Step-by-step explanation:
It's a system of equations, let's solve it step-by-step!
Equation: [3 * 2^5 + 13 * (-2)] + 7[8 - (4 - 9)]
2^5 = 32
so we have [3 * 32 + 13 * (-2)] + 7[8 - (4 - 9)].
3 * 32 = 96
so we have [96 + 13 * (-2)] + 7[8 - (4 - 9)].
13 * (-2) = -26
so we have [96 - 26] + 7[8 - (4 - 9)].
96 - 26 = 70
so we have 70 + 7[8 - (4 - 9)].
4 - 9 = -5
so we have 70 + 7[8 - (-5)].
8 - (-5) = 13 (the signs cancel out)
so we have 70 + 7[13].
7 * 13 = 91
so we have 70 + 91.
70 + 91 = 161
Therefore our answer is 161.
Needing help badlyyyyyy
Answer:
D, D, B
Step-by-step explanation:
multiply 744 by 1,000 to get your meters.
7 times the cost of each lawn, X will equal 210.
25 minus 12 is 13
this holds true for the one below also
The radius of a circle is 7 m. Find its circumference in terms of
π
π.
[tex]circumference = 2 \times \pi \times r[/tex]
[tex]circumference = 2 \times \pi \times 7[/tex]
[tex]circumference = 14\pi[/tex]
Answer:
14π
Step-by-step explanation:
Given:
Radius of circle = 7 mTo determine the circumference of the circle, we need to use the formula 2πr, where "r" represents the radius of the circle.
Substitute the radius in the formula:
[tex]\implies 2\pi (r) = \text{Circumference}[/tex]
[tex]\implies 2\pi (7) = \text{Circumference}[/tex]
Simplify the circumference:
[tex]\implies 2\pi (7) = \text{Circumference}[/tex]
[tex]\implies 14\pi = \text{Circumference}[/tex]
Thus, the circumference is 14π.
you flip a coin and get heads 11 times, so the chance of getting heads in 11/30. Is this an example of theoretical or expiremntal probabilty
Which graph is defined by the function given below?
y= (x + 2)(x + 7)
Answer:
Graph A
Step-by-step explanation:
HELP PLEASE. Question is in the file attached
Answer:
A
Step-by-step explanation:
a. 4350 * 0.25 = 1087.50, food + transportation = 500 + 150 = 650, 650<1087.50, correct
b. 4350*0.5=2175, 1600 doesnt equal 2175, wrong
c. 4350 * 0.2 = 870, 500<870, wrong
d. 200<1087.50, wrong
HELP ME!! I'LL GIVE BRAINLYIEST!!
What is b and the linear equation?
solve for x x(x+3)=2(x+15)
Answer:
x = -27
Step-by-step explanation:
x(x+3)=2(x+15)
x+3=2x+30
x+3-2x+30
x-2x=30-3
-x=30-3
-x=27
x = -27
The bus will leave in 38 minutes. what time will it leave ?
Answer:
4:08
Step-by-step explanation:
The current time is 3:30, 38 minutes later would be 4:08
which functions corresponds with the table
Answer:
what table???
Step-by-step explanation:
can someone help me out with this question
bh step by step procedure?
Answer:
60°
Step-by-step explanation:
the angle Θ between vectors a and b is
cosΘ = [tex]\frac{a.b}{|a||b|}[/tex] = [tex]\frac{\frac{15}{2} }{3(5)}[/tex] = [tex]\frac{\frac{15}{2} }{15}[/tex] = [tex]\frac{1}{2}[/tex] , then
Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{1}{2}[/tex] ) = 60°
Answer:
cos θ= 60°
Step-by-step explanation:
cos θ= a . b/।a। ।b।
=15/2/3×5
=15/30
=1/2
cos θ=cos60°
θ=60
Find the area of each face of the triangular prism and the total surface area.
20 cm
10 cm
6 cm
20 cm
8 cm
Answer:
Area: Bottom face: A = (20 cm)(8 cm) = 160 cm²
Back face: A = (20 cm)(6 cm) = 120 cm²
Sloped face: A = (20 cm)(10 cm) = 200 cm²
Total: 528 cm²
Step-by-step explanation:
Hope this helps!
A bus travels 25 yards in 1 second. How many miles will it travel in 2 hours?
Answer:
102 miles
Step-by-step explanation:
In 2 hours there are 7200 seconds ([tex]60*60 = 3600 * 2 = 7200[/tex])
In one second the bus travels 25 yards, so; [tex]7200 * 25 = 180,000 yards[/tex]
Converting yards to miles is: [tex]x (yards) / 1760[/tex]
[tex]180000/1760 = 102.2727272...[/tex]
∴ The bus will travel 102 miles in 2 hours.
Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target.
We can try for loops along with conditional statements to get the indices of the needed numbers.
What is zero-based indexing?Zero-based indexing indexes the elements of an array or such container starting from 0, instead of starting from 1 (which is what we usually do in real life).
For this case, assuming we want to write code in python, and array being simple list, plus we want the index of only first two numbers found which add up to the target, we have:
for idx_1 in range(len(arr)//2 + 2):
num_1 = arr[idx_1]
found = 0
for idx_2 in range(idx_1 + 1, len(arr)):
num_2 = arr[idx_2]
if target == num_1 + num_2:
print(idx_1, idx_2)
found = 1
break
if found: break
Here we used 'range' function for first loop, which defaulty generates integers from 0, but can generate integers from whatever integer. Like in the second loop, it generates number from idx_1 + 1. Also, it doesn't include the last integer, given by the upper limit for the range.
This python code gives the indices of a pair of two numbers from the array given which adds up to the target.
Thus, we can try for loops along with conditional statements to get the indices of the needed numbers.
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the diagram shows a right angled triangle 15cm 37 degrees
Answer:
h = 11.3 cm
use tane rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
Here:
x = 37°opposite = hadjacent = 15 cm=========
[tex]\hookrightarrow \sf tan(37)= \dfrac{h}{15}[/tex]
[tex]\hookrightarrow \sf h = tan(37) * 15[/tex]
[tex]\hookrightarrow \sf h = 11.3 \ cm[/tex]
I do not know this answer Write an expression for the operation described below.
add a to 4
Answer:An expression for the sequence of operations described is: In this exercise, you're required to write an mathematical (algebraic) expression
Step-by-step explanation:hope this can help you :)
Which of the numbers below are common multiples of 4 and
6? Select all that apply.
A) 8
B) 12
C) 18
D) 24
E) 48
Answer:
B, D, E
Step-by-step explanation:
Find the lateral surface area of the cylinder. Use 3.14 for π, and round your answer to the nearest hundredth. Refer to your STAAR 8th Grade Math Reference Sheet for the appropriate formula.
A) 376.99 cm2
B) 362.16 cm2
C) 367.59 cm2
D) 354.18 cm2
I have a 10 question quiz that I'm really struggling on because i don't know how to work out problems like these, so if someone could please help me that would be great.
The area of the cylinder is the amount of space on it.
Using the assumed values, the lateral surface area of the cylinder is 314 square centimeter
How to determine the lateral surface area?The lateral surface area of a cylinder is:
L = 2πrh
The question is incomplete. Assume the following parameters
Radius, r = 10
Height, h = 5.
Then we have:
L = 2 * 3.14 * 10 * 5
Evaluate the product
L = 314
Using the assumed values, the lateral surface area of the cylinder is 314 square centimeter
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Factor. Step by step.
Answer:
(3x-2)^2
Step-by-step explanation:
3^2x^2-2*3x*2+3^2
(3x)^2 -2*3x*2+2^2
And youll get (3x-2)^2
How to get rid of a square root in the denominator?.
Step-by-step explanation:
you multiply both the top and bottom by the root if it was alone.
let's say if we had (1 - sqrt(2)) in the denominator. here we multiply both the numerator and the denominator by the conjugate.
the conjugate is formed by changing the sign between two terms in a binomial. so in this case the conjugate is
(sqrt(2) -1)
make sure to ask if you need any further guidance :)
Can someone help me
Answer:
A) 24
Step-by-step explanation:
½(6)(6+2) = ½ (48) = 24