The table shows the number of students in a school who like dodgeball and/or ping pong:
Like Dodgeball
Do Not Like Dodgeball
Total
Like Ping Pong
26
18
44
Do Not Like Ping Pong
24
32
56
Total
50
50
100
What is the relative frequency, by row, of students who like both dodgeball and ping pong?
0.22
0.40
0.48
0.59
PLEASE HELP !!!
Answers
I've included the table so it's easier to visualize.
Divide the amount of students who like ping pong and dodge ball (26, it's highlighted in the image) by the total amount of students that like ping pong (44).
26/44 = 0.59
The answer is 0.59
Hope this helps! :)
Answer:
0.59
Step-by-step explanation:
Related Questions
Write a conjecture for the pattern of the sequence
Answers
To conjecture a sequence, one must identify and extend the observable pattern, much like the quark hypothesis predicted unseen particles, or like recognizing the vowel sounds in specific linguistic patterns.
Explanation:In mathematics, creating a conjecture for a sequence involves analyzing the given numbers or patterns and predicting the next element based on the identified pattern. The process comparable to what the developers of the quark hypothesis did, working to predict unknown elements based on established patterns, can aid us in formulating a conjecture for the sequence in question.
For instance, if we refer to the resonance frequencies of a closed tube which form a pattern represented by the formula An = L / (4n) where n is an odd number, we can conjecture that the next frequency in the sequence would be determined by the next odd integer following the last one used.
Similarly, the binomial theorem expansion shows a pattern of coefficients that can be used to conjecture future terms in a binomial expansion. Analyzing patterns like VCC and VCle that determine whether the vowel sound should be long or short in English offer a linguistic parallel to mathematical pattern predictions.
To create a conjecture for a sequence, examine the values and look for a consistent relationship or rule. An example is adding 3 to the previous term in the sequence.
Explanation:A conjecture for the pattern of a sequence can be created by examining the values in the sequence and looking for a consistent relationship or rule. For example, if the sequence is 1, 4, 7, 10, 13, the conjecture may be that each term is obtained by adding 3 to the previous term. This can be represented mathematically as An = A(n-1) + 3, where An represents the nth term in the sequence.
Sarah is making flower arrangements. She has 15 roses and 10 daisies. If she wants to make all identical arrangements, with no flowers leftover, what is the greatest number of arrangements she can make? And how much of each flower will be in each arrangement
Answers
factor each
15=1*3*5
10=1*2*5
gcf=1*5 or 5
15=5*3
10=5*2
so 5 arrangements, each with 3 roses and 2 dasies
Rewrite 256 in exponential form using 2 as the base
Answers
256 is 2^8
I hate this " at least 20 characters to explain" may be the answer doesn't need to be explained so much
How fast was Matt driving if he drove 415 miles in 7 hours?
Answers
The speed of Matt nearest to tenth place will be 59.3 miles per hour.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Matt drove 415 miles in 7 hours. Then the speed of Matt is calculated as,
Speed = 415 / 7
Simplify the equation, then we have
Speed = 59.2857 miles per hour
Speed = 59.3 miles per hour
The speed of Matt closest to the 10th spot will be 59.3 miles each hour.
More about the speed link is given below.
https://brainly.com/question/7359669
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Write the equivalent decimal and fraction for each percent.
Percent: 15%
Percent:120%
Percent:36%
Percent:22%
Percent:54%
Percent:205%
_______________________________________________________________
For each fraction or decimal, write the equivalent percent.
3/25 =
4.06 =
0.01 =
1/8 =
2/5 =
0.6%
__________________________________________________________
90% or 120 is:___
3.6 or 5% of:___
37 1/2 or 64 is:____
39 is __% of 52
110% or 55 is____
18 is 40% of ____
27 is ___ % of 108
35 is 25% of ___
28 is __% of 20
82 is ___% of 40
Answers
Percent:120% = 1.2
Percent:36% = 0.36
Percent:22% = 0.22
Percent:54% = 0.54
Percent:205% = 2.05
3/25 = 12%
4.06 = 406%
0.01 = 1%
1/8 = 12.5%
2/5 = 40%
0.6% = 60%
Answer:
15% = 0.15
120% = 1.2
36% = 0.36
:22% = 0.22
54% = 0.54
205% = 2.05
3/25 = 12%
4.06 = 406%
0.01 = 1%
1/8 = 12.5%
2/5 = 40%
0.6% = 60%
Hope this helps :)
-4(2x-6)=-(4x-9)-2x+3
Answers
First, you multiply -4 by 2x and -6: -8x+24=-(4x-9)-2x+3 is what you will get. Then, you would do the same thing to the other side...since there isn't a number in front of the parenthesis its concidered as -1, so you would multiply -1 by 4x and -9 to get: -8x+24=-4x+9-2x+3
Then, you would add -4x to -2x to get -6x. Then you would add 9 and 3 to get 12: -8x+24=-6x+12. Then, you would add 6x on both sides: -2x+24=12. Then you would subtract 24 on both sides to get, -2x=-12. Then, you would divide both sides by -2 and your answer would be 6. x=6
Find the value of the expression m4 - m3 - 2m2 + 10m + 15 when m = -3.
Answers
For which pair of numbers is the greatest common factor 8
Answers
Holly earns $30 for babysitting 5 hours. She earns $28 when she does chores for 4 hours. Which compares the unit rates?
Answers
The rate of earning money for both activities will be calculated by dividing the amount earned by the total time spent for each of the activity.
Babysitting: rate = ($30 / 5 hours ) = $6 / hour
Doing chores: rate = ($28 / 4 hours) = $7 / hour
Thus, Holly is able to earn money faster when doing the chores compared to when she do the babysitting if she work for the same amount of time for each.
Answer:
The unit rate for doing chores is $1 more than the unit rate for babysitting.
Step-by-step explanation:
30 divided by 5=6 So that means it was six dollars for babysitting.
28 divided by four=7 So that means it was seven dollars for babysitting.
A cheetah runs at a speed of 54 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t?
A.) d = 54t
B.) t = 54d
C.) d = 54 + t
D.) t = 54 + d
Answers
A.) d = 54t
hope it helps
you would multiply the number of hours (t) by the speed (54) to find the distance (d)
so A) d=54t
Find the GFC of 56 and 84. A factor tree for 84 is given below. The GCF of 84 and 56 is .
Answers
The greatest common factor of the given numbers is 4.
The given numbers are 56 and 84.
The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers.
Here, the factors of given numbers are
56 = 2×2×2×7
84 = 2×2×3×7
Now, the common factors from the above factorization is 2×2
= 4
Therefore, the greatest common factor of the given numbers is 4.
To learn more about the greatest common factor visit:
brainly.com/question/11221202.
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the lines shown below are perpendicular. if the green line has a slope of 1/7, what is the slope of the red line?
Answers
Answer: it's -7
Step-by-step explanation:
Answer:
Therefore, the slope of the red line must be -7
Step-by-step explanation:
If the two lines are said to be perpendicular each other, then the multiplicative of their slope is -1.
Let "m1" be the slope a line and "m2" be the slope of the perpendicular line.
So, m1*m2 = -1
Here, let's take "m1" be the slope of the green line and "m2" be the slope of the red line.
They said to be perpendicular to each other.
So, m1*m2 = -1
Given: m1 = 1/7
NOw plug in m1 = 1/7 in the above statement, we get
1/7 *m2 = -1
Let's find the value of m2, multiply both sides by the reciprocal of 1/7
The reciprocal of 1/7 is 7.
7*1/7*m2 = -1*7
7/7.m2 = -7
m2 = -7
Therefore, the slope of the red line must be -7
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
F = 9 over 5 C + 32
Which of the following formulas correctly solves for C?
A) C = 5F − 32 over 9
B) C = 5 F over 9 − 32
C) C = 9 over 5 (F − 32)
D) C = 5 over 9 (F − 32)
Answers
it is the last option C=5/9(F-32)
Answer:
option (D) is correct.
formula that solves for C is [tex]C=\frac{5(F-32)}{9}[/tex]
Step-by-step explanation:
Given : the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F as , [tex]F=\frac{9}{5}C+32[/tex]
We have to find the correct formula that solve for C,
Consider the given formula,
[tex]F=\frac{9}{5}C+32[/tex]
We have to find formula for C,
Thus, first subtract 32 both side, we get,
[tex]F-32=\frac{9}{5}C[/tex]
Now, multiply 5 both side, we get,
[tex]5(F-32)={9}C[/tex]
Now , divide both side by 9, we get,
[tex]\frac{5(F-32)}{9}=C[/tex]
Thus, formula that solves for C is [tex]C=\frac{5(F-32)}{9}[/tex]
Thus, option (D) is correct.
Find the product of 0.094 ×0.367
Answers
An item has a listed price of $80. If the sales tax rate is 6% , how much is the sales tax (in dollars)?
Answers
6% = 0.06
80 x 0.06 = 4.80
the tax is $4.80
Stumped on how to solve this one! The numbers just aren't making sense to me
Answers
30=3/5
so 10 miles = 1/5 on the map
there re 5/5 per inch, so 4 inches = 4*5 = 20/5
20*10 = 200
so they are 200 miles apart
What is the relationship between 8.76 x 10^6 and 8.76 x 10^2
Answers
Hope this helps.
209,767 rounded to the nearest 10,000
Answers
(Whenever a particular number is greater than 5 regardless of where it is placed, can be rounded up).
[ANSWER
Since the 9 in 9767 is greater than 5 the answer is therefore 210,000
a whole number is a perfect square if its square root is an integer true or false
Answers
Of the 8760 hours in a year, one television was on for
1752 hours. What percent is this?
Answers
(1-sec x)/(1-cos x) = -sec x
I got up to this:
(cos x - 1)/ (cos x(1 - cos x)
Can you help me verify the following identity?
Answers
We are given the trigonometric equation:
(1 - sec x) / (1 - cos x) = - sec x
Since the left side has more terms, then let us work on that side to make it exactly like the right side.
We know that sec = 1 / cos, therefore:
(1 – 1 / cos x) / (1 – cos x) = - sec x
[(cos x – 1) / cos x] / (1 – cos x) = - sec x
[- (1 – cos x) / cos x] / (1 – cos x) = - sec x
Cancelling out the term (1 – cos x):
- 1 / cos x = - sec x
- sec x = - sec x
PROVEN!
Tony is training to run a marathon. He has already run 2 miles today and is running additional miles at 6 miles per hour. Write an equation that represents the miles, M, that Tony runs, where h represents the number of hours
Answers
During low tide, the beachfront in some places is about 350 from the ocean to the homes . High tide can change the width of a beach at a rate of -17 feet each hour . It takes 6 hours for the ocean to move from low to high tide . What is the change in the width of the beachfront from low to high tide ?
Answers
the change in width would be -17 * 6 = -102 feet
distance from the ocean to the houses would be 350-102= 248 feet
What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?
a. 1 and 3
b. 0 and 2
c. 0
d. 3
HURRY IM BEING TIMED!!
Answers
2x+3=2x^2-2x+3 subtract 2x from both sides
3=2x^2-4x+3 subtract 3 from both sides
2x^2-4x=0 factor
2x(x-2)=0
So x=0 and 2
Answer:
Step-by-step explanation:
Given: –x² + 2x + 3 = x² – 2x + 3 .
To find: What are the solution(s) .
Solution: we have given that
–x² + 2x + 3 = x² – 2x + 3 .
On subtracting both side by x² .
-2x² + 2x + 3 = x² - x² - 2x + 3
-2x² + 2x + 3 = -2x +3
On Addition both side by 2x .
-2x² + 2x + 2x + 3 =-2x +2x +3
-2x² + 4x + 3 = 3
On subtracting both side by -3 .
-2x² + 4x + 3 -3 = 3 - 3
-2x² + 4x = 0
Taking common 2x .
2x (- x +2 ) =0 .
On grouping .
2x= 0
so x= 0
Now , -x +2 =0 .
-x = -2 .
On dividing by -1
x= 2
Therefore , option B is 0 and 2 .
s the work shown below correct? Explain your answer. (11 + 2i ) – (3 – 10i ) = 11 + 2i – 3 – 10i = (11 – 3) + (2i – 10i) = 8 – 8i
Answers
Answer:
Given that: [tex](11+2i)-(3-10i)[/tex]
Remove the parentheses, we have;
[tex]11+2i-3+10i[/tex]
Like terms are those terms which have same variables to the same power.
Combine like terms of a constant variable;
[tex](11-3) +2i+10i[/tex]
Similarly, combine like terms of imaginary part, we have;
[tex](11-3) +(2i+10i)[/tex]
Simplify:
[tex]8 +(12i)[/tex]
or
[tex]8+12i[/tex]
Therefore, the correct solution of [tex](11+2i)-(3-10i)[/tex] = [tex]8+12i[/tex]
Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°.
Answers
The radius, r, is also the hypotenuse of the right triangle that can be formed. Hence, it can be calculated through the equation,
r² = x² + y²
If we are to simplify this for the r alone, we have,
r = sqrt (x² + y²)
Substituting the known values,
r = sqrt ((4)² + (-4)²) = 4√2
The x and y can be related through the trigonometric function, tangent.
tan θ = y/x
To solve for θ
θ = tan⁻¹(y/x) = tan⁻¹(-4/4) = -45° = 315°
Hence, the polar coordinate is (4√2, 315°)
Answer:
(4 square root 2, 315°), (-4 square root 2, 135°)
Step-by-step explanation:
Another struggle.... Helppp
Answers
(x-7)(x+5) > 0
So the threshold points are x= 7 and x = -5
Then you can find that: when x > 7 and x < -5, this inequality works
So the solution is (-∞, -5) ∪ (7, ∞)
First you have to write it as an equation = 0:
x^2-2x-35 = 0.
Then, find the roots with he quadratic formula:
x = (2 +/- sqrt(4 + 280))/2, sqrt(284) = 16.85 ...
Uh, so now with roots:
sqrt(284) = sqrt( 4*71) = 2*sqrt(71), sounds too difficult for an online question ...
Let's move on:
roots = 1+/- sqrt(71), so
x^2 - 2*x -35 = (x - 1 - sqrt(71))*(x - 1 + sqrt(71))
You have to try values less, in between or greater than the roots. GOing straight to the point,
(-infinity, 1 - sqrt(71) ) And ( 1 + sqrt(71), infinity)
What is the answer to this.
2 1/3 + 3 1/4
Answers
2 1/3 = 3 + 3 + 1 /3 = 7/3
3 1/4 = 4 + 4 + 4 + 1 /4 = 13/4
Then you make a common denominator
7/3 + 13/4 = x/12 + y/12
13 x 3 = x, and 7 x 4 = y ( do cross multiplication)
39/12 + 28/12 = 67/12 ( answer in improper fraction)
67/12 = 12 + 12 + 12 + 12 + 12 + 7
5 7/12 is your answer in mixed fraction
hope this helps
1. First, you have to find a common denominator... 12
- 3: 3, 6, 9, 12, 15...
- 4: 4, 8, 12, 16, 20...
- Both have an LCM as 12, so that is the common denominator.
2. Second, you make the fractions equivalent to when the denominator is 12...
- 1/3 x 4 = 4/12
- 1/4 x 3 = 3/12
3. Lastly, add...
- 2 4/12 + 3 3/12 = 5 7/12
Hope this helped! :)
Starting at home, Jessica traveled uphill to the grocery store for 18 minutes at just 20 mph. She then traveled back home along the same path downhill at a speed of 60 mph.
What is her average speed for the entire trip from home to the grocery store and back?
Answers
[tex]distance = velocity * time = 20mph * \frac{18}{60}hrs = 6 miles[/tex]
Based on this distance we can find the time it took her to get back using the formula [tex]time = \frac{distance}{velocity}: [/tex]
[tex]time = \frac{distance}{velocity} = \frac{6 miles}{60mph} = \frac{1}{10}hrs = 6 minutes[/tex]
After this you just take the average of Jessica going at 20 mph for 18 minutes and 60 mph for 6 minutes:
[tex]\frac{20mph * 18min + 60mph*6min}{24min} = 30mph[/tex]
:)
given that there are eight ounces in a cup and four cups in a quart, which quantity below is equal to 128 ounces
256 ounces 64 ounces 18 cups 4 quarts
Answers
Answer:
4 quarts i had this question on a test and got it right
Step-by-step explanation:
128 ounces is equal to 4 quarts.
To solve this, we need to convert the amount given in ounces to quarts.
Step-by-Step Solution:
There are 8 ounces in a cup.There are 4 cups in a quart.Therefore, there are 8 ounces/cup × 4 cups/quart = 32 ounces in a quart.To find out how many quarts are in 128 ounces, divide 128 by 32: 128 ounces / 32 ounces per quart = 4 quarts.So, the quantity equal to 128 ounces is 4 quarts.
The other options: 256 ounces and 64 ounces are obviously not equal to 128 ounces since 256≠ 128≠ 64
and, 18 cups =18×8= 144 ounces ≠ 128 ounces.