Answer:
See below ↓
Step-by-step explanation:
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is trueProbability can range in from 0 to 1The probability Choosing a card from the deck of cardApplications
Flipping a coinThrowing a dice in the airPulling a red ball out of a bucket of red and white ballsWinning a lucky drawOf all the events in a sample space adds up to 1What is the five-number summary of this data set?
{425, 255, 267, 507, 307, 435, 253, 250, 433}
What is the five-number summary of this data set?
{425, 255, 267, 507, 307, 435, 253, 250, 433}
Drag the numbers into the boxes to correctly complete the five-number summary.
Answer:
min250 max507 Q1=307 Q2=255 Q3=435
Step-by-step explanation:
The five-number summary of this data set is {250, 255, 307, 435, 507}
How to find the mean of a data set?
Mean is the ratio of the sum of the values of the data set to the total number of values available in the data set.
Thus, we get;
[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}[/tex]
We are given that;
The data set= {425, 255, 267, 507, 307, 435, 253, 250, 433}
Now,
The five-number summary of a data set consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum12.
To find the five-number summary of this data set, follow these steps:
Put the numbers in ascending order: {250, 253, 255, 267, 307, 425, 433, 435, 507}
Find the minimum: The smallest number is 250
Find the maximum: The largest number is 507
Find the median: The middle number is 307
Find Q1: The median of the lower half of the data is 255
Find Q3: The median of the upper half of the data is 435
Therefore, by the mean the answer will be {250, 255, 307, 435, 507}
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700 mL of Tata cooking oil costs $189. Xtra cooking oil sells for $300 per litre. Which is the better buy?
Answer:
Tata oil
Step-by-step explanation:
0.7 L of Tata cooking oil = $1891 L of Xtra cooking oil = $300Per 0.1 L
Tata oil = 189/7 = $27Xtra oil = 300/10 = $30Tata oil is the better buy
What numbers round to 200,000 when rounded to the nearest hundred thousand? Select all that apply.
165,400 and 220,574
=================================================
Explanation:
The value in the hundred thousands digit of 165,400 is "1". Just to right of it is "6", which is five or more, meaning we bump that "1" up to "2". Everything else gets replaced with a zero.
The number 165,400 rounds to 200,000 when rounding to the nearest hundred thousand. The number 165,400 is closer to 200,000 than it is to 100,000.
-------------------------
In 220,574 we have the first "2" in the hundred thousands digit with another "2" just to the right of it. Since that second "2" is not five or more, we replace everything with zeros to get 200,000. We won't bump that first "2" up by one.
220,574 is closer to 200,000 than it is to 300,000.
These two sections help show why choices C and D are the answers.
--------------------------
Something like 142,026 rounds to 100,000 for similar reasoning as the previous section. So we can rule out choice B.
Choice A rounds to 100,000 as well, so we can rule it out also.
Choice D rounds to 1,000,000 which means we cross it off the list.
A dinner plate has a circumference of 113.04 cm. What is the area of the dinner plate? (Use 3.14 for .)
A.
226.08 cm2
B.
2,034.72 cm2
C.
1,017.36 cm2
D.
56.52 cm2
option C
hope it helps...!!!
Answer:
[tex]\fbox{Area = 1017.36 sq.cm.}[/tex]
Step-by-step explanation:
Given:
circumference of circular dinner plate= 113.04 cm
To find:
Area of dinner plate = ?
Solution:
circumference = 113.04 cm.
we know that circumference = 2πr
[tex]2 \pi r = 113.04 \: cm \\ r = \frac{113.04 }{2 \pi} \\ r = \frac{113.04 }{2 \times 3.14} \\r = \frac{113.04 }{6.28} \\ \fbox{r = 18 \: cm}[/tex]
We know that,
Area of circle = πr²
now substituting value of r in above formula,
[tex] \pi {r}^{2} = 3.14 \times 18 \times 18 = 1017.36 \: {cm}^{2} [/tex]
[tex] \fbox{Area = 1017.36 sq.cm.}[/tex]
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A cylinder has a diameter of 10 inches and a height of 14 inches. what is the volume of the cylinder? use 3.14 for pi?
_______cubic inches
Answer:
Volume of cylinder is 1099 in³[tex]\\[/tex]
Step-by-step explanation:
[tex]\\[/tex]
Diameter of cylinder = 10 inchesHeight of cylinder = 14 inches[tex]\\[/tex]
We know that,
[tex]\dashrightarrow \sf \: \: Radius = \dfrac{Diameter}{2} \\ \\[/tex]
[tex]\dashrightarrow \sf \: \: Radius = \dfrac{10}{2} \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: { \underline { \boxed{ \pmb{ \sf{ \pink{ Radius = 5 \: inches}}}}}} \\ \\ [/tex]
Using formula:
[tex] \: \: \: \: \: \: {\underline{\boxed{\pmb{\sf{Volume \: of \: cylinder = \pi r^2h}}}}} \: \pink\star \\ \\ [/tex]
Where,
r is radius of the cylinderh is height of the cylinderπ = 3.14[tex]\\[/tex]
Substituting the required values in the formula:
[tex]\dashrightarrow \sf \: \: Volume = 3.14 × (5)^2 × 14 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: Volume = 3.14 \times 25 \times 14 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: Volume = 78.5 \times 14 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: { \underline{\boxed { \pmb{ \sf{ \pink{Volume = 1099 \: {in}^{3} }}}}}} \\ \\ [/tex]
Hence,
Volume of the cylinder is 1099 in³As Juan continued his hitting practice showing off his abilities, one of the balls flew over the center field stands and into the parking lot. “Did you see that shot”, he yelled at the girls. “The ball hung in the air for at least 10 seconds”, he exclaimed.
The formula for this hit is:
h(x−) = 16+x2 8+3x 4 where h is the height of the ball and x is the number of seconds the ball is in the air.
I need help with part B
Answer:
A. Find h(10) = 0 . . . (it is not)
B. h(5.235) = 0; hang time was about 5.235 seconds
Step-by-step explanation:
The hang time of the ball is the value of x in h(x) such that h(x) = 0.
__
A.Juan can show the hang time is 10 seconds by finding h(10) = 0. The value of h(10) is ...
h(10) = -16(10²) +83(10) +4 = -1600 +834 = -766 ≠ 0
Juan cannot prove the hang time was 10 seconds.
__
B.The hang time is the solution to ...
h(x) = 0
-16x² +83x +4 = 0 . . . . . use the given expression for h(x)
x² -5.1875x = 0.25 . . . . divide by -16
x² -5.1875x +6.7275390625 = 6.9775390625 . . . . add (5.1875/2)²
(x -2.59375)² = 6.9775390625 . . . . . . . . . . rewrite as a square
x = 2.59375 ±√6.9775390625 ≈ {-0.048, 5.235} . . . . square root, find x
The hang time of the ball was about 5.235 seconds.
__
We like a graphing calculator for finding a quick solution to questions like this.
Which rectangular equation represents the parametric equations x = t Superscript one-half and y = 2t? y = 4x2 y = 2x2 y = StartRoot 2 x EndRoot y = 2 StartRoot x EndRoot
The rectangular equation which represents the parametric equations x =t^(1/2) and y = 2t is; y=2x².
Generating equations from Parametric equationsAccording to the task content;
It follows that the parametric equations given are; x =t^(1/2) and y = 2t.
Since x =t^(1/2), then it follows that; x² = t.
Therefore, by substituting x² for t in y= 2t, then we have; y = 2x².
Read more on Parametric equations;
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Answer:
B on edg!
Step-by-step explanation:
just did the assingment
I’m not sure the steps to figure out the problem. X = 2 to x =4
Answer:
you have to put the Y in the formula or make a comparison
Can somebody help me pls!
Answer: C
Step-by-step explanation:
Just look at a z-score table and multiply by 100.
-> (0.308538)(100) is about 30.85%
Help picture below problem 14
Answer:
100
Step-by-step explanation:
Since l and r Parrell lines that means the measure of 4 is 80 since there vertical angles. And then 1 and 4 needs to be supplementary which means the two angles combined equals 180. so 180-80=100
so 1s angle measure is 100
damita uses the pythagorean theorem to write the equation 2k² = j² to represent the triangle shown. Is she correct? Explain.
Answer:
Yes, She is correct.
Step-by-step explanation:
Pythagorean theorem:
base² + altitude² = hypotenuse²
k² + k² = j²
Add the like terms. Like terms have same variable with same power.
2k² = j²
On average five birds hit the Washington Monument and are killed each week. Joe, an
official, has requested that Congress allocate funds for equipment to scare birds away
from the monument. A congressional subcommittee has replied that funds cannot be
allocated unless the probability of more than three birds being killed in any week
exceeds 70%. Will funds be allocated?
Answer:
Yes
Step-by-step explanation:
An average of five birds hit the monument each week and in order to receive the funds, more than three birds have to be killed in a week
Shoe Size
2
4
6
8
10
12
At soccer practice, Mike asked each of his teammates to write down their shoe size.
What is the interquartile range for Mike's teammates' shoe sizes?
Answer:
2
Step-by-step explanation:
To find the interquartile range, subtract the lower quartile from the upper quartile.
The upper quartile is 7.
The lower quartile is 5.
Subtract.7–5=2
The interquartile range for Mike's teammates' shoe sizes is 2 sizes.
The interquartile range for Mike's teammates' shoe sizes is R = 2
What in Interquartile Range ( IQR )?The distance between the upper and lower quartiles is known as the interquartile range. Half of the interquartile range corresponds to the semi-interquartile range. Finding the values of the quartiles in a small data set is straightforward.
The spread of the data, or statistical dispersion, is measured by the interquartile range. The middle 50%, fourth spread, or H-spread are further names for the IQR. It is described as the spread between the data's 75th and 25th percentiles.
Given data ,
Let the interquartile range be represented as R
Now , the equation will be
Let the shoe sizes be represented as set A
A = { 2 , 4 , 6 , 8 , 10 }
Now , the upper range of the quartile is = 7
The lower range of the quartile is = 5
And , the interquartile range R = upper quartile - lower quartile
On simplifying , we get
The interquartile range R = 7 - 5 = 2
Hence , the interquartile range R = 2
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A rule for creating a pattern is given below. The rule begins with a number called the input and creates a number called the output.
Rule: Multiply the input by 5. Then subtract 4 from the result to get the output.
Which input and output table works for the rule?
Choose 1 answer:
(Choice A)
Input: 5 Output: 5
(Choice B)
Input: 3 Output: 7
(Choice C)
Input: 2 Output: 6
Answer:
Choice C - Input: 2 Output: 6
Answer:
C
Step-by-step explanation:
evaluate the output for the given input values using the rule
choice A
5 × 5 - 4 = 25 - 4 = 21 ≠ 5
choice B
3 × 5 - 4 = 15 - 4 = 11 ≠ 7
choice C
2 × 5 - 4 = 10 - 4 = 6 ← equals the output value
The directions are with the pic below. It’s 2 parts of this equation. I’ll send the other part. Couldn’t all fit on the page.
Answer:
Step-by-step explanation:
A High School’s football Stadium holds a total of 7,000 fans. A survey shows that of the total number of fans, 68% root for the home team. How many fans attending a football game are rooting for the home team? Please help!
A straight line has gradient - 1/2 and y-intercept 3.
Write the equation of the line in the form of ax + by + c
Answer:
[tex] - \frac{1}{2} x - y + 3 = 0[/tex]
Step-by-step explanation:
as shown in drawing
g[f(x)] if g(x) = x2 and f(x) = x + 3.
Find the area of the shaded polygons.
Answer: 372 sq. un
Step-by-step explanation:
7+24=31
Divided by 2 = 15.5
15.5x24 = 372
What is the median of this data set?
{29, 22, 23, 31, 29, 29, 22, 23}
Answer:
The median is 26
Step-by-step explanation:
A "median" is equivalent to when the terms are arranged in the proper order, whichever term is in the "middle".
So- first, arrange the terms in ascending order.
[22, 22, 23, 23, 29, 29, 29, 31]
There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.
(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.
(52)/2 = 26
Therefore, the median is 26.
I hope this helped! :)
Hello!
In order to find the median of a dataset, we should first order the numbers in the dataset from least to greatest:
29, 22, 23, 31, 29, 29, 22, 23
The smallest number is 22, then 23, then 29, then 31:
22, 22, 23, 23, 29, 29, 29, 31
How many numbers are in this set? 8. An even number!
So we find the mean of the 2 numbers in the middle (23 & 29)
We add these numbers and then divide by 2 (because we have 2 numbers)
[tex]\bf{\displaystyle\frac{23+29}{2}}[/tex]
[tex]\bf{\displaystyle\frac{52}{2}}[/tex]
Which is equal to
[tex]\boxed{\bigstar{\text{Answer:{\boxed{\boxed{26}}}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Maria is making custom designs using these small trapezoidal prisms. She wants to cover each of the 9 prisms in her current design in floral cloth on all sides. She has 3000 square centimeters of floral cloth.
Does Maria have enough cloth to cover all 9 prisms in her current design?
Choose from the drop-down menus to correctly complete the statement.
The combined surface area of the prisms is
Choose...
cm², therefore Maria
Choose...
have enough cloth for her current design.
Combined surface area of the 9 prisms is: 3,420 cm².
Maria DOES NOT have enough cloth for her current design.
What is the Surface Area of Trapezoidal Prism?The surface area of trapezoidal prism = PH + (b1+b2)h
The custom design is a trapezoidal prism.
Find the surface area of one trapezoidal prism given the following dimensions:
Perimeter of trapezoid = P = 5 + 15 + 10 + 10 = 40 cm
b1 = 5 cm b2 = 15 cm h = 7 cm H = 6 cmPlug in the values into the formula
Surface area of 1 trapezoidal prism = (40)(6) + (5 + 15)7 = 380 cm²
Combined surface area of the 9 prisms = 9 × 380 = 3,420 cm².
Since Maria's flora cloth is 3,000 cm², therefore, she DOES NOT have enough cloth for her current design.
Learn more about surface area of trapezoidal prism on:
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For those of you too lazy to read, here is the answer. :-)
The combined surface area of the prisms is 3420 cm², therefore Maria does not have enough cloth for her current design.
Which number is a common multiple of 2 and 4?
A) 14
B) 24
C) 26
D) 34
LAST QUESTION MORE POINTS!
Answer:
Step-by-step explanation:
c I think I did the math that’s what it leads to so yeah
A shelf at a grocery store contains 500 packages of corn and flour tortillas. If 22% of the packages are flour tortillas, how many of the packages are corn tortillas?
Answer:390
Step-by-step explanation:
500*.22=110
500-110=390
390
Answer:
390
Step-by-step explanation:
22% of 500 is 110 so that would make the answer 390 i think
The mean weight of three people in a lift was 62kg. If two of them weighed 55kg each, how much did the third person weigh?
Answer:
72 kg
Step-by-step explanation:
let weight of third person=x
62-55=x-62
7=x-65
x=7+65=72 kg
f ( 1 ) =
solve f ( x ) =1:
x =
Answer:
If b=5:7, find the value of B in terms of c
For a moving object, the force acting on the object varles directly with the object's acceleration. When a force of 45 N acts on a certain object, the acceleration
of the object is 5 m/s?. If the force is changed to 63 N, what will be the acceleration of the object?
Answer:
acceleration,A = 7
Step-by-step explanation:
F = kA
First expression: 45 = 5k, k = 9
therefore, when F = 63, A = 63/9 = 7
Roberto's science grade is calculated using a weighted average. Quizzes are worth 25%, homework is worth 10%, unit tests are worth 30%, and labs are worth 35%.
Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit tests, and 94% on his labs.
What is Roberto's final science grade?
93.3%
93.9%
94.8%
95.3%
Answer:
Final grade: 93.9%
Step-by-step explanation:
The weights are as follows: 0.25, 0.10, 0.30 and 0.35. Note that these add up to the whole, that is, to 1.00.
Then the final grade is:
0.25(94) + 0.10(99) + 0.30(92) + 0.35(94) = 93.9
Determine which of the triangles below are unique. Share your reasoning.
Triangle A: All angle measure 60 degrees
Triangle B: All sides have length 6 cm.
Triangle C: Two sides have length 6 cm, and the included angle measures 55
degrees
Triangle D: Base has length of 6 cm, and the base angles are 50 degrees.
Answer:
Triangle A and Triangle BStep-by-step explanation:
I think this is the answer because Triangle A, has a unique that all sides have a measure of 60 degrees. And I also think that Triangle B is unique because It's an Equilateral triangle, which means that all sides have the same length.
So hence, I think the answer is A and B
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Always keep more than 2 smiles! You have to share them with people who don't have one too, right??
Thanks!
:D
The graph of f(x) is shown. For what values of X does f(x)= 0
-1,1,2
-2,-1,1
-3,-1,1
-1,1,3
Answer:
-3, -1, 1
Step-by-step explanation:
The values of x when f(x) = 0 are the points on the graph when the curve intercepts the x-axis.
From inspection of the graph, the curve intercepts the x-axis at
x = -3, x = -1 and x = 1
what is the awnser to 5+(5x20)x 30
Answer: 3005
Step-by-step explanation: multiply 5 by 20 and it will give 100 then times 30 Equals 3000 and plus gives 3005 . Please mark brainliest
Answer:3005
Step-by-step explanation :multiply 5 by 20 and it will give 100 then multiply by 30 that Equals 3000 and plus 5 that gives you 3005