Answer:
2
Step-by-step explanation:
the y values are the same so you just have to subtract the biggest x value from the smallest x value
5-3=2
6, 2, 7, 8, 8, 8, 5, 10, 10
What is the standard deviation of the data?
2.38 first cousins
2.52 first cousins
5.65 first cousins
6.36 first cousins
Answer:
2.52
Step-by-step explanation:
On edg
what is the volume of a box that is 14 inches long, 7 inches wide, and 10 inches high
The volume of the box will be → 980 square inches.
What is the volume of a cuboid?The volume of cuboid is found using the formula:
Volume = Length × Width × Height
Given is the volume of a box that is 14 inches long, 7 inches wide, and 10 inches high.
The volume of the box will be→
V= L x B x H
V= 14 x 7 x 10
v = 140 x 7
V= 980 square inches
Therefore, the volume of the box will be → 980 square inches
To solve more questions on cuboid, visit the link below-
https://brainly.com/question/23118276
#SPJ2
Which of the following are true statements? Select two that apply.
Answer:
Options A and C are correct answers
Step-by-step explanation:
A) [tex] \angle 5\: and \:\angle 1[/tex] are complementary.
C) [tex] \angle 3\: and \:\angle 4[/tex] form a linear pair.
Hope it helps you in your learning process.
Which equation has a slope: 3/2, y-intercept: –4
Answer:
The equation of the line that has a slope of 3/2 and a y-intercept of -4 is:
y=3/2x-4.
Step-by-step explanation:
You want to find the equation for a line that has a slope of 3/2 and a y-intercept of -4. First of all, remember what the equation of a line is:
y = mx+b Where: m is the slope, and b is the y-intercept
All you really have to do here is replace m with 3/2, which is the slope you gave, and replace b with -4, the y-intercept you gave, in the equation y=mx+b.
(1 point)
Find the area enclosed by the curve r=2 sin(0) + 3 sin(90).
If the 0's are indeed zeroes, then it would appear that you're using degrees, so that the equation
r(θ) = 2 sin(0°) + 3 sin(90°)
describes a circle r = 3 (since sin(0°) = 0 and sin(90°) = 1). In this case, the area would simply be π r ² = 9π.
But I suspect you meant to use θ, so the curve has the far more interesting equation,
r(θ) = 2 sin(θ) + 3 sin(9θ)
Since sin(9θ) has a period of 2π/9 and sin(θ) has a period of 2π, their sum has a period of 2π. (That is, 2π times the LCM of 1 and 1/9, which is 1.) But we observe r(θ) is odd, since
r(-θ) = 2 sin(-θ) + 3 sin(-9θ)
… = -2 sin(θ) - 3 sin(9θ)
… = - r(θ)
which tells us that the curve closes itself over a half-period. So the area bounded by the curve is given by the integral,
[tex]\displaystyle\int_0^\pi\int_0^{r(\theta)}r\,\mathrm dr\,\mathrm d\theta[/tex]
If you're not familiar with double integrals yet, all you need to know is that this reduces to the area formula you may/should be familiar with,
[tex]\displaystyle\frac12\int_0^\pi r(\theta)^2\,\mathrm d\theta[/tex]
Compute the integral:
[tex]=\displaystyle\frac12\int_0^\pi(2\sin(\theta)+3\sin(9\theta))^2\,\mathrm d\theta[/tex]
[tex]=\displaystyle\frac12\int_0^\pi(4\sin^2(\theta)+12\sin(\theta)\sin(9\theta)+9\sin^2(9\theta))\,\mathrm d\theta[/tex]
Apply some identities:
sin²(θ) = (1 - cos(2θ)) / 2
sin(θ) sin(9θ) = (cos(9θ - θ) - cos(9θ + θ)) / 2 = (cos(8θ) - cos(10θ)) / 2
sin²(9θ) = (1 - cos(18θ)) / 2
[tex]=\displaystyle\frac14\int_0^\pi(4(1-\cos(2\theta))+12(\cos(8\theta)-\cos(10\theta))+9(1-\cos(18\theta))\,\mathrm d\theta[/tex]
[tex]=\displaystyle\frac14\int_0^\pi(13 - 4\cos(2\theta) + 12\cos(8\theta) - 12\cos(10\theta) - 9\cos(18\theta))\,\mathrm d\theta[/tex]
[tex]=\dfrac14 \left(13\theta-2\sin(2\theta)+\dfrac32\sin(8\theta)-\dfrac65\sin(10\theta)-\dfrac12\sin(18\theta)\right)\bigg|_0^\pi[/tex]
[tex]=\dfrac1{40} \left(130\theta-20\sin(2\theta)+15\sin(8\theta)-12\sin(10\theta)-5\sin(18\theta)\right)\bigg|_0^\pi[/tex]
[tex]=\dfrac{130\pi-20\sin(2\pi)+15\sin(8\pi)-12\sin(10\pi)-5\sin(18\pi)}{40}[/tex]
= 13π/4
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: Should be 150mm
Step-by-step explanation:
Find the surface area of each figure. Round answers to the nearest tenth, if necessary
2 mm-
2/5 mm
10 mm
3 mm
O
75 mm2
150 mm2
92 mm2
86 mm2
Can you please help me
no xdxdxdxdxdxxdxdxdxdxdxdxdxdxddxd
Help please
look picture and match
Answer:
Rectangle= Choice four
Square= Choice three
Trapezoid= Choice one
Parallelogram= Choice two
Rhombus= Choice five
-----------------------------------------------------
I think these are the correct answers. Hope this helps!
How many arrangements are there of 12 distinct items?
Answer:
There are 479,001,600 arrangments of 12 distinct items.
Step-by-step explanation:
Arrangements of n items:
The number of possible arrangements of n itens is given by the factorial of n, that is:
[tex]A_{n} = n![/tex]
12 items:
[tex]A_{12} = 12! = 479001600[/tex]
There are 479,001,600 arrangments of 12 distinct items.
Skyler goes to a school which has 1000 students in it.
She asks 40 random students whether they like the new 8.30 am start to the day.
30 of them say 'no' they do not like it.
Use this information to estimate how many students in the whole school
dislike the 8.30 am start.
Answer:
750?
Step-by-step explanation:
there is groups of 40 so we take 1000/40 now we have 25 take 25x10 and we will and up with 250 minus 1000 - 250 and we have 750
The two columns below give fertility of eggs of the CP strain of Drosophila melanogaster raised in 100 vials of 10 eggs each (data from R.R. Sokal). Find the expected frequencies, assuming that the mortality for each egg in a vial is independent. Use the observed mean. Calculate the expected variance and compare it with the observed variance. Interpret the results, knowing that the eggs of each vial are siblings and that the different vials contain descendant from different parent pairs. Answer: o2 = 2.417; s2 = 6.628.
Number of Eggs Hatched Number of Vials f Expected Frequency of vials
0 1
1 3
2 8
3 10
4 6
5 15
6 14
7 12
8 13
9 9
10 9
Solution :
Given the number of the edges are = 11
Therefore we take [tex]$\frac{1}{11}=0.091$[/tex]
And the number of the vials total is = 100
Thus we can multiply = [tex]$100 \times 0.091 = 9.1$[/tex]
From the table provided below, we can obtained :
1. Null hypothesis and alternate hypothesis :
The following null and alternate hypothesis needs to be tested :
[tex]$H_0:p_1=0.091, \ p_2 = 0.091, p_3=0.091, \p_4=0.091, \p_5=0.091, \p_6=0.091, \p_7=0.091,$[/tex] [tex]$p_8=0.091, \ p_9=0.091, \ p_{10}=0.091, \ p_{11}=0.091 $[/tex]
[tex]$H_a :$[/tex] some of the population differ from the values stated in the null hypothesis. It corresponds the Chi-square test that is for the Goodness of the Fit.
2. Rejection region :
It is given --
significance level, α = 0.05
number of degrees of freedom, df = 11 - 1
= 10
Then the rejection region of this test is :
[tex]$R=\{ x^2:x^2 >18.307\}$[/tex]
3. Test statistics
The Chi-Squared statistics is computed as :
[tex]$x^2=\sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}$[/tex]
[tex]$=7.21+4.089+0.133+0.089+1.056+3.825+2.638+0.924+1.671+0.001+0.001$[/tex]
= 21.638
4. Decision about null hypothesis
Since we see that : [tex]$x^2=21.638>x^2_c = 18.307$[/tex], we can concluded that we can reject the null hypothesis.
5. Conclusion :
It is concluded that the null hypothesis [tex]$H_0$[/tex] is rejected. So there is enough evidence for us to claim that the population proportions differ from that stated in null hypothesis at α = 0.05 significance level.
could someone help me with this question
Answer:
10/1
Step-by-step explanation:
what is four times the sum of twelve and a number in algebraic expression
pleasee i need help pleaseeee help nowww
Answer:
t > 2.5
Step-by-step explanation:
Which of the following situations result in an answer of 2/3? Select three that apply.
A: three dogs each drink 2 cups of water. How many cups of water does each dog drink in all?
B: Two apples split among 3 people. How much of an apple does each person recieve?
C: Two gallons of water needed to fill 3 fish tanks of an equal size. How many gallons of water are required for each tank?
D: Three cupcakes are divided among 2 children. How much of a cupcake would each children receive?
E: Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?
F: Three cats share 2 cans of tuna. How much of a can does each cat receive?
A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. How far will it travel in 39 minutes ? In 1 hour ?
Step-by-step explanation:
1 and 3/4 miles ???? miles
-------------------- = ---------------------
2 and 1/3 minutes 39 minutes
Cross multiplies:
(1 and 3/4) x 39 = (2 and 1/3) x ?
7/4 x 39/1 = 7/3 x ?
273/4 = 7/3 x ?
? = 273/4 * 3/7 = 39*3/4 <---- 7 x 39 = 273
= 117/4
= 29 and 1/4
---------------------------------------------------------------
1 and 3/4 miles ?
------------------ = ------------------
2 and 1/3 min 60 min
(1 and 3/4) * 60 = (2 and 1/3) * ?
7/4*60/1 = 7/3 * ?
105 = 7/3 * ?
? = 105*3/7
= 315/7
= 45
A college surveyed all 3600 of its students and discovered 1360 are not coffee drinkers. What percent of the students do not drink coffee
Answer:
Step-by-step explanation:
37 percent
Answer:
Step-by-step explanation:
25% i think
what is an equivalence class?
This article is about equivalency in mathematics. For equivalency in music, see equivalence class (music).
Congruence is an example of an equivalence relation. The leftmost two triangles are congruent, while the third and fourth triangles are not congruent to any other triangle shown here. Thus, the first two triangles are in the same equivalence class, while the third and fourth triangles are each in their own equivalence class.
In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.
The information is from https://en.wikipedia.org/wiki/Equivalence_class
If it is wrong I am sorry
What is the equation of the line that passes through the point (4, -8) and has a
slope of -1/2?
Answer is y=-1/2x-6
:)
Answer:
yo sorry I'm dum need points
Find the slope of the line that passes through the two points. (0, 0), (3, 2)
Answer:
the slope is 2/3 bcoz u do 2-0/3-0
Help please, what's the answer?
Question 7
Exponential functions have a variable degree.
Answer is 3^x + 6.
Question 8
Changing 15.3% to a decimal, we get 0.153.
Answer: Choice (4)
SOMEONE, PLEASE HELPP ME!!!
Ten hamburger values meals cost $60.
Benita observed that 28 out of 55 patrons at the public library used the computer. The librarian told Benita that 660 patrons enter the library throughout the day. Based on Benita's observations, how many patrons during the day would be expected to use the computer?
Answer:
336
Step-by-step explanation:
If Robert buys a candy bar for 78 cents, how much
change does he get back from a one-dollar bill?
32 cents
23 cents
22 cents
33 cents
Before dividing, decompose 420 to make it easier to divide by 4.
Answer:
4/420=105
Step-by-step explanation:
decompose 42 and divide by 4 is 10 and is 20 divided by 4 is 5
If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the trajectories of two particles are given by the vector functions for t 0. Do the particles collide? If they collide find t. If not enter NONE.
r1(t) = t^2, 8t − 15, t^2
r2(t) = 11t − 30, t^2, 13t − 40
t=
Answer:
Step-by-step explanation:
[tex]r_1(t) = < t^2 , 8t-15,t^2> \\ \\ r_2(t) = < 11t-30, \ t^2 , \ 13t-40> \\ \\ at \ r_1 = r_2 \\ \\ t^2 = 11t - 30 , \ \ \ \ \ \ \ \ \ \ \ \ 8t - 15 = t^2 , \ \ \ \ \ \ \ \ \ t^2 = 13t -40 \\ \\ t^2 - 11t + 30\ \ \ \ \ \ \ \ \ \ \ \ t^2 -8t + 15 , \ \ \ \ \ \ \ \ \ \ \ \ t^2 -13t + 40 \\ \\ t^2 -8t-3t + 30=0 \ \ \ \ \ \ t^2 - 2t -4t + 15=0 \ \ \ \ \ \ t^2 - 1t - 13t + 40 =0[/tex]
[tex](t-6)(t-5) \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-3) \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-8)[/tex]
[tex]\mathbf{The \ common \ value \ of \ t \ = \ 5}[/tex]
15 POINTS!!!!
7 ÷ 0.1 = 7 ÷ 1/10
7 is 1/10 of____.
Help Please
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
No solutions.
Step-by-step explanation:
No solutions because these two lines are parallel.
You can tell by the slopes. Both slopes are equal -3.
The -2 and [tex]\frac{5}{8}[/tex] vertically shift the lines.
The product of two rational numbers:
Answer:
"The product of two rational numbers is rational."
So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication. Thus, multiplying two rational numbers produces another rational number.
Step-by-step explanation:
Answer: Is a rational number.
Step-by-step explanation: Two rational numbers produces another rational number. "The product of two rational numbers is rational." So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.
A line that includes the point (7,0) has a slope of 1. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
[tex]y = x-7[/tex]
Step-by-step explanation:
To write the equation of the line in slope-intercept form, use the slope-intercept formula, [tex]y = mx +b[/tex]. Find real values for the [tex]m[/tex] and [tex]b[/tex] and substitute them into the formula.
1) We know that [tex]m[/tex] represents the slope, so substitute 1 in its place. However, we still need to find [tex]b[/tex], or the y-intercept. So, along with substituting that 1 in for [tex]m[/tex], substitute the x and y values for (7,0) for the x and y in the formula as well. Then, isolate [tex]b[/tex] to find its value:
[tex]y = mx + b\\0 = (1)(7)+b\\0 = 7 + b\\-7 = b[/tex]
So, [tex]b[/tex] = -7.
2) Now, just substitute the found values for [tex]m[/tex] and [tex]b[/tex] into the slope-intercept formula. Remember that the slope is [tex]m[/tex], so substitute 1 in, and [tex]b[/tex] is -7, so substitute -7 in its place as well. This gives the following equation in slope-intercept form:
[tex]y = 1x -7[/tex] or [tex]y = x-7[/tex]