Answer:
it is the first one
Step-by-step explanation:
Answer:
A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The top 3 rectangles and the middle bottom rectangle are shaded.
Step-by-step explanation:
a circle with circumference 18 had an arc with 120 central angle. what is the length of the arc
Answer:
A circle with circumference 18 had an arc with 120 central angle.
=> Radius of that circle: R = 18/(2 x pi) = 2.86
=> Length of that arc: L = R x 120 x pi/180 = 2.86 x (2/3) x pi = 5.99
Hope this helps!
:)
Answer:
6
Step-by-step explanation:
Angle: arc length
360 : 18
120 : X
X/120 = 18/360
X = 120 × 18/360
X = 6
Helpppppp!.!.!.!.!.!.!.!.!.!!.
Answer:
~ 84 cm of the pop in the poster ~
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. Given the information, let us create a proportionality as such:
7 = 1 ⇒ x - centimeters of the pop in the poster
x 12
2. Now let us cross multiply, and solve through simple algebra for x:
7 * 12 = x,
x = 84 centimeters of the pop in the poster
On Tuesday, Katy ran a mile in 8.34 minutes. She ran another mile in 7.89 minutes on Wednesday. What was the total time for both miles? Do not include units.
Answer:
16.23
Step-by-step explanation:
Add the times
Answer:
16.23 minutes
Step-by-step explanation:
Total time = sum of the two times
= 8.34 + 7.89
= 16.23 minutes
(10 points) Consider the initial value problem y′+3y=9t,y(0)=7. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). = help (formulas) Solve your equation for Y(s). Y(s)=L{y(t)}=
Answer:
The solution
[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3 t}[/tex]
Step-by-step explanation:
Explanation:-
Consider the initial value problem y′+3 y=9 t,y(0)=7
Step(i):-
Given differential problem
y′+3 y=9 t
Take the Laplace transform of both sides of the differential equation
L( y′+3 y) = L(9 t)
Using Formula Transform of derivatives
L(y¹(t)) = s y⁻(s)-y(0)
By using Laplace transform formula
[tex]L(t) = \frac{1}{S^{2} }[/tex]
Step(ii):-
Given
L( y′(t)) + 3 L (y(t)) = 9 L( t)
[tex]s y^{-} (s) - y(0) + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]
[tex]s y^{-} (s) - 7 + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]
Taking common y⁻(s) and simplification, we get
[tex]( s + 3)y^{-}(s) = \frac{9}{s^{2} }+7[/tex]
[tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]
Step(iii):-
By using partial fractions , we get
[tex]\frac{9}{s^{2} (s+3} = \frac{A}{s} + \frac{B}{s^{2} } + \frac{C}{s+3}[/tex]
[tex]\frac{9}{s^{2} (s+3} = \frac{As(s+3)+B(s+3)+Cs^{2} }{s^{2} (s+3)}[/tex]
On simplification we get
9 = A s(s+3) +B(s+3) +C(s²) ...(i)
Put s =0 in equation(i)
9 = B(0+3)
B = 9/3 = 3
Put s = -3 in equation(i)
9 = C(-3)²
C = 1
Given Equation 9 = A s(s+3) +B(s+3) +C(s²) ...(i)
Comparing 'S²' coefficient on both sides, we get
9 = A s²+3 A s +B(s)+3 B +C(s²)
0 = A + C
put C=1 , becomes A = -1
[tex]\frac{9}{s^{2} (s+3} = \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}[/tex]
Step(iv):-
[tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]
[tex]y^{-}(s) =9( \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}) + \frac{7}{s+3}[/tex]
Applying inverse Laplace transform on both sides
[tex]L^{-1} (y^{-}(s) ) =L^{-1} (9( \frac{-1}{s}) + L^{-1} (\frac{3}{s^{2} }) + L^{-1} (\frac{1}{s+3}) )+ L^{-1} (\frac{7}{s+3})[/tex]
By using inverse Laplace transform
[tex]L^{-1} (\frac{1}{s} ) =1[/tex]
[tex]L^{-1} (\frac{1}{s^{2} } ) = \frac{t}{1!}[/tex]
[tex]L^{-1} (\frac{1}{s+a} ) =e^{-at}[/tex]
Final answer:-
Now the solution , we get
[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3t}[/tex]
In a certain Algebra 2 class of 25 students, 5 of them play basketball and 10 of them play baseball. There are 12 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
Probability of students who plays both baseball and basketball is [tex]\frac{2}{25}[/tex]
Step-by-step explanation:
We have given total number of students = 25
5 of them play basket ball 10 of them plays base ball
there are 12 students who neither play baseball nor basket ball
So the number of students who play either baseball or basketball is
[tex]n(A\cup B)=25-12=13[/tex], here A is for basketball and B is for baseball.
From set theory we know that
[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
[tex]13=5+10-n(A\cap B)[/tex]
[tex]n(A\cap B)=2[/tex]
Therefore there are two students who play both baseball and basketball
Probability is equal to [tex]=\frac{2}{25}[/tex]
The table represents a function.
What is f(5)?
o-8
х
—4
-1
3
5
f(x)
-2
5
4
-8
ооо
1
Answer:
f(5) = -8
Step-by-step explanation:
x -4 -1 3 5
f(x) -2 5 4 -8
f(5) is the value of f(x) when x = 5
f(5) = -8
Answer:
A) -8
Step-by-step explanation:
The person above me is correct because f(5) is the value of f(x), x=5. So f(5) = -8.
A 14-foot ladder is leaning against the side of a house.The angle the ladder makes with the ground is 50 degrees. How far is the base of the ladder from the house to the nearest tenth of a foot
Answer:
9 ft
Step-by-step explanation:
You can use cosine to solve this, which is adjacent over hypotenuse. The ladder forms a triangle with the house, and the side you need to solve for is adjacent to the angle. You can set up the equation:
cos(50)=x/14
Then you multiply 14 by cos(50) and get almost 9 ft (rounding to the nearest tenth of a foot).
In one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is ok. Among 810 airport baggage scales, 102 are defective (based on data from the NY Department of Consumer Affairs). If four of the scales are randomly selected and tested, what is the probability that the entire bath will be accepted
Answer:
[tex]X \sim Hyp (N = 810, M=102, n=4)[/tex]
[tex] P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}[/tex]
And solving we got:
[tex] P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583[/tex]
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
Step-by-step explanation:
For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:
[tex]X \sim Hyp (N = 810, M=102, n=4)[/tex]
[tex]P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}[/tex]
Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes
And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:
[tex] P(X=0)[/tex]
And using the probability mass function we got:
[tex] P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}[/tex]
And solving we got:
[tex] P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583[/tex]
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
Jacqueline wants to make as many identical bouquets as possible using all flowers she has. What is the biggest number of such bouquets can be made out of 42 carnations, 36 tulips and 54 daffodils?
Answer:
6
Step-by-step explanation:
The greatest common factor of 36, 42, and 54 is 6:
36 = 6·6
42 = 6·7
54 = 6·9
Jacqueline's bouquets will have 6 tulips, 7 carnations, and 9 daffodils in each one. There will be 6 bouquets.
1. Which number does NOT represent a whole number?
A 25
B 13
С
150
3
D 3.5
Answer:
D 3.5
Step-by-step explanation:
A number with a decimal can NOT represent a whole number.
TO DETERMINE THE AMOUNT OF WRAPPING PAPER NEEDED FOR A RECTANGULAR BOX, RYAN FINDS THE SURFACE AREA OF THE BOX. HOW MUCH WRAPPING PAPER IS NEEDED IF THE BOX MEASURES 11 cm by 2 cm by 4 cm?
Answer:
288
Step-by-step explanation:
A=2(11*4+11*7+4*7)
A=2(44+77+28)
A=2(149)
A=[tex]298 inches^{2}[/tex]
To wrap the provided package, Ryan would need 148 cm² of wrapping paper.
What is Surface area?The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.
Given, the measures of the box are 11 * 2 *4 cm.
We need to find out how much wrapping paper would be required. to achieve that we need to calculate the surface area of the box.
From the general formula of the surface area of a cuboid.
Surface area = 2*(length*width + width * height + width * height)
in our case,
length = 11
width = 2
and height = 4
Thus,
Surface area = 2 (11*2 + 2*4 + 11*4)
Surface area = 2(22 + 8 + 44)
Surface area = 148 cm²
Therefore, Ryan would need 148 cm² of wrapping paper to wrap the box given.
Learn more about the Surface area here:
https://brainly.com/question/29298005
#SPJ2
6. The mean of 5 consecutive integers is 19. What is the difference between the largest and
the smallest of the 5 integers?
Answer:
4
Step-by-step explanation:
The integers are
x
x+1
x+2
x+3
x+4
since they are consecutive
The largest is x+4
The smallest is x
Difference is
x+4 -x
4
Answer:
Step-by-step explanation:
If the least integer is n, it means the five consecutive integers are:
n,n+1,n+2,n+3,n+4
Summing all integers we have:
n + n+1+n+2+n+3+n+4
=5n+10
The mean of this integers is
5n+10 /5 =19
5n+10=19*5
5n + 10 = 95
5n = 95 - 10
5n =85
n=85/5=17
The smallest of the integer is n= 17
The largest integer is n + 4 =17+4=23
The difference between the least and largest integer would be;
Is 4
The sum of largest integer and the smallest integer is 23 + 17 = 40
Which piecewise function is shown in the graph
Answer:
The answer is A
Step-by-step explanation:
just did it on edge
What is the graph of y=2x+3
The approximate length of side XY is units. The approximate length of side YZ is units. The approximate length of side ZX is units. The approximate perimeter of triangle XYZ is units.
Answer:
ZX = 3√2, XY =√10, YZ = 4, Perimeter of ΔXYZ = 14√5 units
Step-by-step explanation:
1. We can see that if we were to draw an altitude from vertex X to side ZY of this triangle, the length of this altitude would be: 3 units
2. The length of ZX can be determined through Pythagorean Theorem. If this altitude were to be called XW, it would be one of the legs of a mini triangle ZXW, along with leg ZW. ZW clearly = 3, thus ZX^2 = 3^2 + 3^2 = 18, and ZX = √18 units = 3√2.
3. The same thing can be applied to another "mini" triangle YXW. This triangle would have legs XW (altitude of the triangle ZXY) and YW. Knowing XW to have a length of 3 units, and YW to have length of 1 unit ⇒ XY^2 = XW^2 + YW^2 = 3^2 + 1^2, and XY = √10.
4. YZ is visualized to have a length of 4 units.
5. Knowing that ZX = 3√2, XY =√10, and YZ = 4 ⇒ Perimeter of ΔXYZ = ZX + XY + YZ = 3√2 + √10 + 4 = 14√5 units. To simplify this, it would be that the Perimeter of ΔXYZ = 14√5 units
What is the area of this parallelogram?
6 cm
2 cm
Answer:
12
Step-by-step explanation:
Area= base*height
Area= 6*2
Answer:
12cm
Step-by-step explanation:
hight & Base=6 cm & 2 cm
Formula for area: hight×base=6 cm×2 cm
12cm
Kevin goes to the grocery store and buys a box of cereal, a family size box of cereal, a candy bar, and a king sized candy bar. He notices that the family sized box of cereal is twice as big as the regular box of cereal and the king size candy bar is twice as big as the regular candy bar. Kevin believes that because the family sized box of cereal and king sized candy bar are twice the size that the volume is also twice the size. Is Kevin correct in his thinking?
Can someone help me ?
Answer:
Equation: -2x = -6
Solution: x = 3
Step-by-step explanation:
1. Take a look at the diagram. With two -x on one side and 6 of the -1 on the other, we can see the equation to be -x - x = -1 - 1 - 1 - 1 - 1 - 1
2. However, this is not a proper equation as it is not simplified: - 2x = -6
3. Now that we have the equation, apply simple algebra to recieve x, as such:
-2x = -6 ⇒ x = -6/-2 ⇒ x = 6/2 ⇒ x = 3
Answer:
equation:-2x=-6
solution: x=3
Step-by-step explanation:
-2x=-6
step one : divide -2 from both sides of the equal sign[tex]-2x/-2=-6/-2[/tex]
then boom you got x=3
PLEASE HELP IJLFEGNSKEURILAYGKUERU
Answer:
No. See below.
Step-by-step explanation:
No, Seth lost the plot at the end.
At x = 3,
y = 4x + 1 = 12 + 1 = 13
At x = -2,
y = 4x + 1 = -8 + 1 = -7
Therefore, the curves intersect at (3,13) and (-2,-7)
Which of the following statements is FALSE? The correlation coefficient equals the proportion of data points that lie on a straight line. The correlation coefficient will be +1.0 only if all the data lie on an upward-tilting straight line. The correlation coefficient is undefined if all the data lie on a perfectly horizontal straight line. The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.
Answer:
The first one is False.
Step-by-step explanation:
If the correlation coefficient can also be -1 if the data lies on an upward tilting straight line.
Of the 250 students at Moreland middle school, 80% ride the bus to school. Monica wants to know the number of students that ride the bus.
Answer:
200; 80% of 250 is 200
Answer:
Step-by-step explanation:
200
The number of cars sold at a dealership over several weeks is given below.
14, 23, 31, 29, 33
What is the standard deviation for this set of population data?
Standard deviation: Sigma = StartRoot StartFraction (x 1 minus mu) squared + (x 2 minus mu) squared + ellipsis + (x N minus mu) squared Over N EndFraction EndRoot
6.9
12.4
15.4
47.2
Answer:
A. 6.9
Step-by-step explanation:
Edge 2020
The standard deviation for the set of population data given in the question is 6.9
How to determine the meanData = 14, 23, 31, 29, 33Number of data (n) = 5Summation of data = 14 + 23 + 31 + 29 + 33 = 130Mean (μ) =?Mean = summation of data / number
μ = 130 / 5
μ = 26
How to determine the standard deviationData = 14, 23, 31, 29, 33Mean (μ) = 26Number of data (n) = 5Standard deviation (σ) =?σ = √[[(x₁ - μ)² + (x₂ - μ)² + (x₃ - μ)² + (x₄ - μ)² + (x₅ - μ)²] / n]
σ = √[[(14 - 26)² + (23 - 26)² + (31 - 26)² + (29 - 26)² + (33 - 26)²] / 5]
σ = √[236 / 5}
σ = 6.9
Learn more about statistics:
https://brainly.com/question/8974461
#SPJ9
400.0 ml of a gas are under pressure of 80.0 kpa what would the volume of the gas be at a pressure of 100.0 kpa
Answer:
The final volume is 320 mL at pressure of 100 kPa.
Step-by-step explanation:
Boyle's law gives the relation between volume and pressure of a gas. It states that at constant temperature, volume is inversely proportional to its pressure such that,
[tex]V\propto \dfrac{1}{P}\\\\P_1V_1=P_2V_2[/tex]
Let
[tex]V_1=40\ mL\\\\P_1=80\ kPa\\\\P_2=100\ kPa[/tex]
We need to find [tex]V_2[/tex]. Using above equation, we get :
[tex]V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{400\times 80\times 10^3}{100\times 10^3}\\\\V_2=320\ mL[/tex]
So, the final volume is 320 mL at pressure of 100 kPa.
ASAP HELP PLEASE GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing!!
Answer:
B
Step-by-step explanation:
Hmm... I would think it is B...
b^2-4ac is discrimant. It is 0?
In order to evaluate the performance of the artificial pancreas, a researcher randomly draw 5 rats as a control group, and draw other 5 rats as a treatment group. The control group did not receive the artificial pancreas, the treatment group did. The research wanted to compare the blood-sugar readings for the treatment group with those of the control group. The treatment group has a sample mean blood-sugar reading Y = 400 unit and a standard deviation Si = 80 unit. The control group has a sample mean blood-sugar reading Y, = 200 unit and a standard deviation S2 = 50 unit. Assume the population variances are not equal, calculate the standard error for the difference of the sample means Ý -Y (Round to three decimal places)
Answer: 42.190
Step-by-step explanation:
From the question, the population variances are not equal. The calculation has been attached in the picture below.
The answer is 42.190 to 3 decimal places.
Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males and females, the following question: "Are you annoyed by people who repeatedly check their mobile phones while having an in-person conversation?" Among the 530 males surveyed, 175 responded "Yes"; among the 575 females surveyed, 218 responded "Yes." Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts below.
(a) Determine the sample proportion for each sample.
The proportions of the females and males who took the survey who are annoyed by the behavior in question are ____and _____ respectively. (Round to four decimal places as needed.)
(b) Explan why this study can be analyzed using the methods for conducting a hypothesis test regarding two independent proportions. Select all that apply.
A. The sample size is more than 5% of the population size for each sample
B. The sample size is less than 5% of the population size for each sample
C. The samples are dependent.
D. The data come from a population that is nornally distributed.
E. np (1-) 10 and n2p2 (1-2) 210
F. The samples are independent.
(c) What are the null and alternative hypotheses? Let p1 represent the population proportion of females who are annoyed by the behavior in question and p2 represent the population proportion of males who are annoyed by the behavior in question.
Answer:
a)
The proportions of the females and males who took the survey who are annoyed by the behavior in question are 0.3301 and_0.3791 respectively
b)
D) The data come from a Population that is Normally distributed
F) the samples are independent
c)
Null hypothesis: H₀: [tex]p_{m} ^{-} - p^{-} _{fm} \leq 0[/tex]
Alternative Hypothesis H₁: [tex]p_{m} ^{-} - p^{-} _{fm} \geq 0[/tex]
Step-by-step explanation:
Given data Among the 530 males surveyed, 175 responded "Yes
The sample proportion of males
[tex]p_{m} ^{-} = \frac{x}{n} = \frac{175}{530} = 0.3301[/tex]
The sample proportion of 575 Females surveyed, 218 responded "Yes
[tex]p_{fem} ^{-} = \frac{x}{n} = \frac{218}{575} = 0.3791[/tex]
a)
The proportions of the females and males who took the survey who are annoyed by the behavior in question are 0.3301 and_0.3791 respectively
b)
The data come from a Population that is normally distributed.
The two samples are independent
c)
Null hypothesis: H₀: [tex]p_{m} ^{-} - p^{-} _{fm} \geq 0[/tex]
Alternative Hypothesis H₁: [tex]p_{m} ^{-} - p^{-} _{fm} \leq 0[/tex]
We will use two samples Z - hypothesis test
[tex]Z = \frac{p^{-} _{m} - p^{-} _{fem} }{se(p^{-} _{m}-p^{-} _{fem} ) }[/tex]
[tex]Se(p_{m} -p_{fem}) = \sqrt{\frac{p_{m}(1-p_{m}) }{n_{m} }+\frac{p_{fem} (1-p_{fem} )}{n_{fem} } }[/tex]
[tex]Se(p_{m} -p_{fem}) = \sqrt{\frac{0.3301(1-0.3301) }{530 }+\frac{0.3791(1-0.3791)}{575} }[/tex]
[tex]Se(p_{m} ^{-} - p^{-} _{fem} ) = \sqrt{0.000826} = 0.0287[/tex]
The test statistic
[tex]Z = \frac{0.3301-0.3791}{0.02875}[/tex]
Z = -1.7043
|Z| = |-1.7043|
The tabulated value Z₀.₉₅ = 1.96
The calculated Z= 1.7043 < 1.96 at 0.05 level of significance
The null hypothesis is accepted
Conclusion:-
The evidence suggest not a higher proportion of females are annoyed by this behavior
3.5.49 X 0.67 *
Your answer
What is the answer
Answer:
2.37783 or 23.7783
Step-by-step explanation:
Which observation supports the idea that light is made of particles
Answer:
light moves in a straight path
Step-by-step explanation:
Answer:
D on edge
Step-by-step explanation:
took the test bb
if d=2 what is the value of
Answer:C
Step-by-step explanation:
8/(4-d) d=2
8/(4-2)
8/2=4
Jenna has 131 dog biscuits. She wants to give them as gifts to each of her 4 poodles. How many biscuits does each poodles get? (Assume each gets the same number of biscuits.)
Answer:
32
Step-by-step explanation:
you just have to divide 131/4 to get 32.75 but they all have to be equal
Division is one of the four fundamental arithmetic operations. The number of biscuits that each of the four poodles will get is 32.75.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Jenna has a total of 131 dog biscuits, she also has 4 poodles. Therefore, the number of biscuits she should give to each of her poodles can be found by dividing the total number of biscuits by the number of poodles she has.
Thus, the number of biscuits she should give to each of her poodles is,
Number of biscuits each poodle gets
= Number of biscuits / Number of poodles
= 131 / 4
= 32.75
Hence, the number of biscuits that each of the four poodles will get is 32.75.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ5