Answer:
the distribution can be broken into categories
Statement c shows a characteristic of a statistical question.
What is statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
So, based on the definition of statistics we can say.
1)Statistical data can be analysed.
2)Statistical data can be used to interpret many things.
3)Statistical data can forecast the results.
Out of the given statements, only statement c falls under the category of statistical statement.
Hence, statement c shows a characteristic of a statistical question.
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Name four fractions between 5/6 and 7/8
Answer:
101/120, 102/120, 103/120, and 104/120.
Step-by-step explanation:
First find the LCM of 6 and 8:24
So the two given fractions are 20/24, and 21/24
Since the the fractions will become decimals with the denominator 24, choose another denominator: 48
So the two given fractions are 40/48 and 42/48.
Even this denominator isn't possible so continue with different denominators.
As I notice, that each multiple increases by 1...
20-21, 40-42, 60-63, 80-84, and 100-105.
100-105 is the only numerator that has 4 numbers in-between so, the four fractions between 5/6 and 7/8 are: 101/120, 102/120, 103/120, and 104/120.
And the 2 given fractions are 100/120 and 105/120.
I hope this helps and plz mark me brainliest!!
The fractions between 5/6 and 7/8 are 6/7, 13/15, 11/13, and 17/20.
What is a fraction?A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator, and denominator.
For the given situation,
The fractions are 5/6 and 7/8.
The fractions between any two fractions can be obtained by adding them without considering the denominator.
Fraction 1:
[tex]\frac{5+7}{6+8}=\frac{12}{14}[/tex]
⇒ [tex]\frac{6}{7}\\[/tex]
Fraction 2:
[tex]\frac{6+7}{7+8} = \frac{13}{15}[/tex]
Fraction 3:
[tex]\frac{5+6}{6+7} = \frac{11}{13}[/tex]
Fraction 4:
[tex]\frac{6+11}{7+13}=\frac{17}{20}[/tex]
Hence we can conclude that the fractions between 5/6 and 7/8 are 6/7, 13/15, 11/13, and 17/20.
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Abby and Katy are selling cheesecakes. There are apple and pecan cheesecakes. Abby sold 14 pecan and 3 apple cheesecakes for a total of $113. Katy sold 7 pecan and 8 apple cheesecakes for a total of $180. What's the cost of one pecan cheesecake and one apple cheesecake?
How would I set this up?
If you want to set up the equations:
let the cost of one apple cheesecake be [tex] a[/tex] and the cost of one pecan cheesecake be $p$
from Abby, $14p+3a=113$
and from Katy....?
then solve for both variables
can you take it from here?
Translate to an expression. How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?
Answer:
10*h+3*2*10
Step-by-step explanation:
PLEASE HELP FOR FINAL!! H(x)= -|x+1| + 3
Answer:
H(2)= 0 , so x = 2 is the correct answer
Step-by-step explanation:
Given:
H(x)= -|x+1| + 3
Computation:
By putting x = 0,1,2
H(x)= -|x+1| + 3
H(0)= -|0+1| + 3
H(0)= -1 + 3
H(0)= 2
H(x)= -|x+1| + 3
H(1)= -|1+1| + 3
H(1)= -2 + 3
H(1)= 1
H(x)= -|x+1| + 3
H(2)= -|2+1| + 3
H(2)= -3 + 3
H(2)= 0
A solid hemisphere has volume 230cm^3. (a) Calculate the radius of the hemisphere. [The volume, V, of a sphere with radius r is V = 4 /3 = π r^3 .]
Answer:
[tex]\huge\boxed{r = 4.8\ cm}[/tex]
Step-by-step explanation:
Since it's a hemisphere, the volume will be:
Volume of Hemisphere = [tex]\frac{2}{3} \pi r^3[/tex]
Given that Volume of hemisphere = 230 cm³
230 = [tex]\frac{2}{3} \pi r^3[/tex]
Multiplying both sides by 3
230 * 3 = 2πr³
690 = 2πr³
Dividing both sides by 2π
690 / 2π = r³
r³ = 109.8
Taking cube root on both sides
r = 4.8 cm
Answer:
[tex]\large \boxed{\mathrm{4.79 \ cm}}[/tex]
Step-by-step explanation:
The volume of a hemisphere is half the volume of a sphere.
The formula for the volume of hemisphere is V = 2/3πr³.
The volume is given.
230 = 2/3πr³
Solve for r or radius.
Multiply both sides by 3/2.
230 × 3/2 = 2/3πr³ × 3/2
345 = πr³
Divide both sides by π.
(345)/π = (πr³)/π
109.816910733 = r³
Take the cube root of both sides.
∛(109.816910733) = ∛(r³)
4.78876002459 = r
What is the coefficient of x5y5 in the expansion of (x + y)10?
Answer:
C=252
Step-by-step explanation:
Given:
x^5y^5
(x+y)^10
Find the coefficient of x^5y^5
To get the coefficient of x^5y^5,
we will put r = 5, in the below given general term.
The general term is : nCr =x^ry^n-r
We get:
Coefficient is = 10C5
= 10!/5!*5!
= 252
The coefficient of x^5y^5 is 252
C. 252
Please help I'll give you brainliest! Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = 3 Find: AC
Answer:
3 uhhh i have to write 20 letters so aha nice
Help!!
I need help with my math!!
Answer:
5
Step-by-step explanation:
12 - 7 = 5
Using Pythagoras Theorem
Hyp² = Adjacent² + Opp²
13² = d² = 12²
d² = 13² - 12²
d² = 169 - 144
d² = 25
d = √25
d = 5
The correct answer is 5, OPTION C IS CORRECT
Find the lateral area of this pyramid
whose base is an equilateral triangle. Its
slant height is 12 in. and the length of each
side of the triangular base is 5
Answer:
90 in²
Step-by-step explanation:
The lateral area can be found using the formula ...
LA = (1/2)Ph
where P is the perimeter of the base and h is the slant height. For your dimensions, the lateral area is ...
LA = (1/2)(3×5 in)(12 in) = 90 in²
The lateral area is 90 square inches.
What is the number of real solutions? 2q^2−8q+4=0
Answer:
there's two
Step-by-step explanation:
q=(4-√24)/2=2-√6=-0.449
and
q=(4+√24)/2=2+√6=4.449
help me with these thanks
Jill paid $36 for calendars marked down $5 apiece from the original price, she could have gotten 5 fewer calendars. How many cards did she buy
Answer:
she bought 7 cards
Step-by-step explanation
7x5=35 and im sure there is tax
The sum of 6 even integers is 130 what is the 2nd number in the sequence
Answer:
The 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]
Step-by-step explanation:
Let the six even numbers be 2x,2x+2,2x+4,2x+6,2x+8,2x+10
We are given that The sum of 6 even integers is 130.
So,2x+2x+2+2x+4+2x+6+2x+8+2x+10=130
12x+30=130
12x=100
[tex]x=\frac{100}{12}[/tex]
So,the 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]
please solve this fast
Answer:
69
Step-by-step explanation:
i need to know what the answer is!?
Answer:
2
Step-by-step explanation:
Use PEMDAS
First simplify the exponent (9)
Next multiply 5 and 3 (15)
Now add 15 and 15 (30)
Add 9 and 6 (15)
Lastly simply 30 by 15 (2)
Answer:
[tex]\boxed{A. 2}[/tex]
Step-by-step explanation:
Hey there!
Well we first need to solve the top part.
15 + 5 * 3
5*3 = 15
15 + 15 = 30
3^2 + 6
3*3 = 9
9+6 = 15
Now we have 30 ÷ 15 = 2.
Hope this helps :)
can somebody help me with this math problem
Answer:
D). 137
Step-by-step explanation:
1). 40 % of 50 = 20
50 + 20 = 70
2). 40 % 70 = 28
70 + 28 = 98
3). 40 % of 98 = 39.2, basically 39
98 + 39 = 137
137 is the right answer
Pls make my answer brainiest))))
Does the table represent a linear function ??
Answer:
No.
Step-by-step explanation:
The points from the table need to have a constant slope for the function to be linear.
Slope is rise over run.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For (1,1) and (2,2):
[tex]m=\frac{2-1}{2-1}=\frac{1}{1}=\boxed{1}[/tex]
The slope is 1.
For (3,6) and (4,24):
[tex]m=\frac{24-6}{4-3}=\frac{18}{1}=\boxed{18}[/tex]
The slope is 18.
1 ≠ 18
Since the slopes of the points are no consistent, the table represents a nonlinear function.
Therefore,
The table does NOT represent a linear function.
Jordan flipped a coin 218 times. Which of the following would be a good estimate of the number of times the coin landed on heads?
A. 168
B. 104
C. 209
D. 34
Ans: (1/2)218 = 109
----
Closest to that is 104
Answer:
B. 104
Step-by-step explanation:
It would make the most sense if it were somewhere in the middle since flipping a coin has a 50% chance of being heads.
B. 104 is closest to the absolute middle of 218, therefore, it would be the most accurate.
Sally is swimming in a race that has 5 laps. Swimming 2 lengths of the pool
counts as one lap. If Sally is halfway through the fourth lap, what fractional
part of the total laps in the race is left for Sally to finish?
Answer:
3/10
Step-by-step explanation:
Sally has to run 5 laps(2000m)
One lap = 400m
So we multiply 3.5( 3 1/2) [this the the distance Sally ran] by 400
The answer we get is 1400( this the total distance in meters she ran)
Next we subtract 1400( total distance she ran in meters) from 2000(total distance in meters she needs to complete.
The answer we get is 600 meters( this is the distance she is left with)
As a fraction is 600/2000
THE ANSWER REDUCED TO ITS LOWEST TERM IS 3/10.
Answer:
3/10
Step-by-step explanation:
The length of a rectangular picture is 5 inches more than three times the width. Find the dimensions of the picture if its perimeter is 74 inches.
Answer:
Length = 29 inchesWidth = 8 inchesStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length of the rectangle
w is the width
From the question
length of a rectangular picture is 5 inches more than three times the width is written as
l = 5 + 3w
Now substitute this into the above equation
Perimeter = 74 inches
74 = 2(5 + 3w) + 2w
74 = 10 + 6w + 2w
8w = 74 - 10
8w = 64
Divide both sides by 8
w = 8 inches
Substitute w = 8 into l = 5 + 3w
That's
l = 5 + 3(8)
l = 5 + 24
l = 29 inches
Length = 29 inchesWidth = 8 inchesHope this helps you
Express the product of 3x^2 - 4x +6 and x-2 in standard form.
Answer:
3x³ - 10x² + 14x - 12
Step-by-step explanation:
(3x² - 4x + 6) × (x - 2)
3x³ - 4x² + 6x - 6x² + 8x - 12
3x³ - 10x² + 14x - 12
Thus, the product of 3x² - 4x + 6 and x - 2 in standard form is 3x³ - 10x² + 14x - 12
Which expression is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot?
Answer:
The answer is "[tex]x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]"
Step-by-step explanation:
Given value:
[tex]\to \bold{ \sqrt[3]{x^5y} }[/tex]
[tex]\to \sqrt[3]{x^5y} =(x^5y)^{\frac{1}{3}}[/tex]
formula:
[tex]\bold{(a.b)^n=a^nb^n}[/tex]
[tex]\to (x^5y)^{\frac{1}{3}}= x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]
The final value is: [tex]\boxed{\boxed{ x^{\frac{5}{3}} \cdot y^{\frac{1}{3}}}}[/tex]
Calculate the average speed in miles per hour of a journey of 36 miles which took 45 minutes. with explanation pls thx
Answer:
= 48 miles/hour
Step-by-step explanation:
Speed=distance/time
Speed = 36/0.75
Assuming these ratios stay consistent, if each plant recycled 350 total bottles in a day, plant B would recycle_______ more red bottles than plant A. Plant C would recycle________________ more red bottles than plant D.
Answer:
70
80
Step-by-step explanation:
Assuming these ratios stay consistent, if each plant recycled 350 total bottles in a day, plant B would recycle___70____ more red bottles than plant A. Plant C would recycle_____80___________ more red bottles than plant D.
A = We first multiply 150 x 2.333 (2 1/3) = 350 tbottles 60 x 2.333 = 140
B = Then multiply 350/200 = 200 x 1.75 350 tbottles RED = 120 x 1.75=210
First answer = 210-140 = B recycles 70 more than A
C = We first multiply 175 x 2 = 350 tbottles RED = 110 x 2 = 220
D = We first find LCM of 180 and 350
Then find 18x now equals 1/10 x 35x tbottles RED = 72 / 18 = 4 then 4 x 35 = 140
Second answer = 220-140 = C recycles 80 more than D.
Answer:
Plant B would recycle 60 more red bottles than plant A. Plant C would recycle 38 more red bottles than plant D.
Hope this helps!
Sorry for answering so late!
The perimeter of the rectangle below is 114 units. Find the length of side PQ.
Write your answer without variables.
Answer:
36.
Step-by-step explanation:
The perimeter = 2 * length + 2 * width, so we have:
2(2x - 1) + 2(3x + 3) = 114
4x + 6x - 2 + 6 = 114
10x = 114+ 2 - 6 = 110
x = 11.
So the length = 3(11) + 3
= 36.
Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?
(16, positive infinity)
(Negative 16, positive infinity)
(Negative infinity, 16)
(Negative infinity, Negative 16)
Answer:
{16, +infinity}
Step-by-step explanation:
Represent the number with n
Required
Find the solution set
From the question, we have that;
4½n - 9½ > 62.5
Convert all numbers to decimal
4.5n - 9.5 > 62.5
Add 9.5 to both sides
4.5n - 9.5 + 9.5 > 62.5 + 9.5
4.5n > 72
Multiply both sides by 2
2(4.5n) > 72 * 2
9n > 144
Multiply both sides by ⅑
⅑ * 9n > 144 * ⅑
n > 16
This implies that n ranges to infinity from positive 16;
Hence, the correct answer is {16, +infinity}
What is the value of (-3 + 3) + (-2 + 3)?
0-5 - 61
D-5 + Bi
5 + 61
5-61
Answer:
1
Step-by-step explanation:
(-3 + 3) + (-2 + 3) =
= 0 + 1
= 1
Express each of the following decimals as a percentage
1.35
solution for class 7
Answer:
135%
Step-by-step explanation:
To represent a decimal to percentage, multiply by 100
1.35 x 100 = 135
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Wendy opened a savings account 15 years ago with a deposit of $2,340.73. The account has an interest rate of 4.7% compounded monthly. How much interest has
Wendy earned?
Answer:
$4661.77
Step-by-step explanation:
100 + 4.7 = 104.7%
104.7% = 1.047
$2340.73 x 1.047^15 = $4661.77
help me plz i dont get this
Answer:
56 [tex]in^2[/tex]
Step-by-step explanation:
We can first break this down into 2 smaller rectangles.
1x2x4 rectangle
4x3x4 rectangle.
Then we can find out the area of each, and we get 8+48 = 56.
You also could find this out by subtracting the area that is missing.
Answer:
The volume of the container is 56 in^3
Step-by-step explanation:
To solve, I split this figure vertically at the corner between the two steps. We know that the formula for volume of a container is V= l*w*h. The first, smaller portion of the container has a length of 4, a width of 1, and a height of 2. 4*1*2= 8 in^3
The second, larger portion of this container has a length of 4, (look at the side of the first portion), a width of 3, (4-1=3), and a height of 4. 4*3*4= 48 in^3.
Finally, add together the volumes of the two portions and that is the volume of the whole figure. V= 56 in^3