There are 4 new books and 9 used books on a shelf.
(a) What is the ratio of new books to all books on the shelf?
(b) What is the ratio of used books to all books on the shelf?
Answer:
a) 4:13
b) 9:13
Step-by-step explanation:
A petri dish is a small, shallow dish of thin glass or plastic, used especially for cultures in bacteriology. A 2-inch-radius petri dish, containing nutrients upon which bacteria can multiply, is smeared with a uniform suspension of bacteria. Subsequently, spots indicating colonies of bacteria appear. The distance of the center of the first spot to appear from the center of the petri dish is a variable with density curve y= x/2 for 0 < x <2 and y=0 otherwise.
a. Graph the density curve of this variable.
b. Show that the area under this density curve to the left of any number x between 0 and 2 equals x2/4.
c. What percentage of the time is the distance of the center of the first spot to appear from the center of the petri dish
1. at most 1 inch?
2. between 0.25 inch and 1.5 inches?
3. more than 0.75 inch?
Answer:
a) attached below
b) Area = 1/2 ( base ) (height )
= 1/2 ( x ) ( x/2)
= x^2 / 4
C) i)25% ii) 54.69% iii) 85.94%
Step-by-step explanation:
Given density curve y = x/2 for 0 < x < 2 and y = 0
a) Graph the density curve of this variable
attached below
b) show that the area under the density curve to the left of any number x between 0 and 2 equals x^2/4
base of triangle = x
height = x/2
Hence to show the area under the density curve is equal to x^2/4 we will calculate the area to the left
Area = 1/2 ( base ) (height )
= 1/2 ( x ) ( x/2)
= x^2 / 4
c) Determine the percentage of the time of the distance of the center of the first spot to appear from the center of the petri dish
i) At most 1 inch
(area to the left of 1 ) = 1^2 / 4
= 1/4 = 0.25 ≈ 25%
ii) between 0.25 inch and 1.5 inches?
( area between 0.25 and 1.5 ) = ( area to the left of 1.5 ) - ( Area to the left of 0.25 )
= (1.5^2 / 4 )- ( 0.25^2 / 4 )
= 0.5469 = 54.69%
iii) more than 0.75 inch
( Area to the right of 0.75 ) = 1 - (0.75^ / 4)
= 0.8594 = 85.94 %
Eloise spent $1.65 on potato salad that costs $0.25 per pound.
How many pounds of potato salad did she buy?
Answer:
she would be able to buy 6.6
Answer:
its 6.6
Step-by-step explanation:
cause i did that already
Determine whether the following graph can represent a normal curve.
Could the graph represent a normal curve? Select all that apply.
Answer:
C
Step-by-step explanation:
A normal curve describes a unimodal curve... this has 2 peaks (bimodal)
**this looks like stats?**
The graph does not represent a normal curve since:
No, because the graph has multiple peaks.No, because the graph approaches the X-axis as X increases and decreases without bound.Graphically speaking, the probability density function of a normal distribution has the following characteristics:
It has a single "peak" at a value of [tex]x[/tex] associated to the mean.The function is distributed symmetrically.The y-value of the function tends to be zero when [tex]x \to \pm \infty[/tex].The curve presented in the image only observes the condition described in 2. Therefore, we conclude that correct choices are:
No, because the graph has multiple peaks.No, because the graph approaches the X-axis as X increases and decreases without bound.We kindly invite to check this question on normal curves: https://brainly.com/question/15992479
Ryan's Study Schedule
Subject Subject (Hours)
2
Math
2
3
1
Science
1-
2
1
English
3
1
Social Studies
1
4
What is the closest amount to the hours Ryan spends studying?
7 hours
8 hours
0 5 hours
O 9 hours
If 78% of the total is 156 marks, find the total marks in the test
200
206
176
210
Find the area of the shape
how to rewrite equation 5x+7y-35=0 in slope intercept form?
What ordered pairs are the solutions of the system of equations shown in the graph below?
Answer:
(-3,1) and (-8,6)
Step-by-step explanation:
Hey gabymcarrillo!
The solution is always the place where the two lines intersect.
Our first answer: go 3 left on the x- axis, and then go 1 up on the y- axis. This results in (-3,1)
Our second answer: go 8 left on the x- axis, then go 6 up on the y- axis. This results in (-8,6)
Hope a helped, have a nice day!
-Aadi x
18 is ______percent of 40
Answer:
18 is 45% of 40
Step-by-step explanation:
Please let me know asap
Answer:
100
Step-by-step explanation:
Hello There!
∠4 and ∠8 are corresponding angles
corresponding angles are congruent so if ∠4 = 100 then ∠8 also equals 100
The area of a rectangle is 54 square feet. The height is three more than twice the width. Find
the width of the rectangle.
Answer:
4.5 ft
Step-by-step explanation:
Let length = 2x + 3
Let width = x
Area = 54 ft2
length × width = Area
x(2x + 3) = 54
2x2 + 3x = 54
2x2 + 3x - 54 = 0
(2x - 9)(x + 6) = 0
x = 9/2 and x = -6
x = 4.5 and x = -6
We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:
width = 4.5 ft
length = 2(4.5) + 3 = 9 + 3 = 12 ft
Just chillin' at the max 32-bit limit with two answers...
Answer:
I don't understand what the question issssss
Plzzzz help me thxs !!!
Answer:
b) 2 (x - 4) = 6x
Step-by-step explanation:
equation:
⇒ 2 (x - 4) = 6x
use distributive property:
⇒ 2 (x - 4) = 6x
⇒ 2x - 8 = 6x
subtract x from both sides:
⇒ 2x - 2x - 8 = 6x - 2x
⇒ -8 = 4x
divide both sides by 4:
⇒ [tex]\frac{-8}{4} = \frac{4x}{4}[/tex]
⇒ -2 = x
to check, substitute -2 for x: answer should be the same
2 (x - 4) = 6x
2 (-2 - 4) = 6 x -2
-4 - 8 = -12
-12 = -12
Answer:
i got A and B.
Step-by-step explanation:
for a, subtract 6 from both sides and your new equation should be 2x=-4
the divide -4 by 2 which is -2
for b, you multiply 2 by each number in the parenthesis so your new equation should be 2x-8=6x. then subtract 2x from 6x and get 4x then divide -8 by 4 to get -2. im 100% sure abt A but i was a little confused on B good luck tho
Kennedy lives in the middle of the city. Her friend Zoe lives 8 miles to the west and her friend Shiloh lives 6 miles to the south. Approximately how far apart do Zoe and Shiloh live from each other?
Answer:
i would say about 16 miles.
Answer:
Step-by-step explanation:
Draw a picture. The lines between their houses forms a right triangle. Kennedy is at the 90°. The distance between Shiloh and Zoe is the hypotenuse of the triangle, so use the Pythagorean Theorem.
Distance² = 8² + 6² = 100
Distance = √100 = 10 miles
WILL GIVE BRAINLIEST
Answer:
b good luck srro if u am rong
Answer:
the best way to write is as it is in the beginning, so 1.2×10^-6, that is the alternative A.
6. Greg pays a fee of $20 a month for local calls. Long-distance rates are $0.06 per minute for calls within the United States and $0.14 per minute for foreign calls. Suppose Greg makes 300 minutes of long-distance phone calls in January and m of those minutes are for calls within the United States.
Answer:
He pays $18 for the long distance calls because 0.06 x 300 is 18
and if you want to find how much that month do 18+20 which is 38
$38 that month
The cost of 7 pounds of berries is $16.38, what is the cost per pound of
Berries?
Answer:
2.34
Hope that helps!
A circular table has an area of 75.5, what is the radius and diameter?
Answer:
r = 4.90228481 in
d = 9.80456963 in
Branliest to correct answer please explain how you solved it
You have a 3/6 chance of getting even number (there are 3 even numbers in the 6 die)
You have a 1/16 chance of getting a 16 on the other die
multiply them 1/3 × 1/16 then convert it to decimal form is your answer
The show has a large display board where visitors are encouraged to pin up their pictures during an even, it measures:
3.6 m
1.8 m
How many 6 cm by 6 cm pictures could fit on the wall?
Answer:
3.6m
Step-by-step explanation:
Classify each triangle by its angles and its sides.
PLSSS ANSWER!
Answer:
9 . right triangle
Step-by-step explanation:
9. has right angle
On Joe’s business trip, he spent $258.14 during the 5 day trip on meals. How much did he spend per day on meals, round to the nearest penny?
Answer:
$51.63
Step-by-step explanation:
Joe spent 5 days on the trip and spent $258.14 total on food. To find the cost for each day, divide 258.14 by 5.
258.14 / 5 ≈ 51.63
a) In a simple random sample of 1000 faculty taken among all universities in a country, the number of papers published by the individual sampled faculty in the past year had a mean of 1.1 and an SD of 1.8. Does the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal
Answer:
According to the Central Limit theorem, the distribution is roughly normal
Step-by-step explanation:
The Central Limit Theorem states that for sample sizes above 30 and not withstanding population distribution's shape, the sampling distribution of the sample mean becomes more similar t hat of a normal distribution as the sample size increases;
The size of the sample = 1,000 >> 30
As the sample size approaches infinity, we have;
[tex]z=\dfrac{\bar{x}-\mu }{\dfrac{S.D.}{\sqrt{n}}}[/tex]
[tex]\overline x[/tex] = 1.5
S.D. = 1.8
n = 1000
Assume μ = 1, we get;
[tex]P(x > 1.1):z=\dfrac{1.1-1 }{\dfrac{1.8}{\sqrt{1000}}} = 1.7568[/tex]
P(z > 1.7568) = 1 - 0.96080 = 0.0392
Therefore, it is very likely that the mean of the population is not larger than the sample mean
Therefore, yes, the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal
Ms. Cathy bought a package of pens. Out of every 10 , pens, 7 are black. If there are 20 pens in the pack, what fraction of the pens in the pack are black? What percent of the pens in the pack are black? What fraction of the Owens in the pack is black?
Answer:
Step-by-step explanation:
7/10 are black therefore 14/20 are black
A parallelogram has a base of 12 inches in a height of 7 inches what is the area
Answer:
84 inch
Step-by-step explanation:
A=base*height
A=12*7
A=84 inch
100 points and BRAINLESS pless help
Answer: 50 square units
Step-by-step explanation:
A seller has a house that is 1800 square feet. The neighborhood comps show
the line of best fit to be y = 0.074x +50 48. What is a fair price for this house?
A. $150,000
B. $183.68
C. $150.00
D. $184,000
SUBMIT
A fair price for this house is $183.68. Therefore, option B is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, a seller has a house that is 1800 square feet.
The neighborhood comps show the line of best fit to be y = 0.074x+50.48.
Substitute x=1800 in the given equation, we get
y=0.074×1800+50.48
y=$183.68
Therefore, option B is the correct answer.
To learn more about the equation of a line visit:
https://brainly.com/question/2564656.
#SPJ1
I’ll give brainalist and points for answer / explanation
PLZ HELP I WILL MARK BRIANLIST Complete the table for 11, 15, and 19 days. Input your
answers. Then click done.
Number of Days
Total Number of
Trophies Won
80
slope
3
100 trophies
4 days
25 trophies
1 day
7
180
11
15
19
DONE
Answer:
275, 375, 475
Step-by-step explanation:
First, find the slope using the two pairs of values given.
Number of days = x
Total number of trophies = y
Using (3, 80) and (7, 180),
Slope = ∆y/∆x = (180 - 80)/(7 - 3) = 100/4 = 25
Slope/unit rate = 25 trophies per day
Multiply 25 by each given number of days to get each corresponding total number of trophies won.
Thus:
✔️Number of days = 11
Total number of trophies won = 11*25 = 275
✔️Number of days = 15
Total number of trophies won = 15*25 = 375
✔️Number of days = 19
Total number of trophies won = 19*25 = 475
Answer:
280
380
480
Step-by-step explanation:
If he gets 100 trophies every 4 days then you just add 100 to each column because in each one the days are increasing by 4
Your welcome ;)