The game is formed such that a duck is either winning duck or a non winning duck .
there is no other result for any duck present in the game .
Also choosing a duck is a fair game it is independent of any prior situation .
here we would be using a basic probability formula , that is
Probability of a result = number of items in favour of that result divide by total number of items present in the game .
Max walks 10 meters in 4 seconds what is his walking rate in meters per second
Answer:
2.5 m/s
Step-by-step explanation:
10/4 gets the answer. it is just distance over time
Answer: 2.5 m/s
Step-by-step explanation:
The total cost of a jacket and a belt was $57.07. If the price of the jacket was $9.21 less than the belt, what was the price of the jacket? Express your answer as a simplified fraction or a decimal rounded to two places.
Answer:
48.26
Step-by-step explanation:
subtract and thats the answer its 48.26 less than the belt
Select the correct answer.
Which expression in factored form is equivalent to this expression?
4(x2 – 2x) – 2(x2 – 3)
A. (2x − 3)(x + 1)
B. 2(x + 1)(x + 3)
C. (2x + 3)(x + 1)
D. 2(x - 1)(x – 3)
Took the test. This is the answer.
Answer:
D. 2(x - 1)(x – 3)
Step-by-step explanation:
4(x2 – 2x) – 2(x2 – 3)
We would first of all expand the expression given
This becomes
= 4x2 - 8x - 2x2 + 6
Rearrange to enable us simplify
4x2 - 2x2 - 8x + 6
= 2x2 - 8x + 6
Factorize
2 (x2 - 4x + 3)
factorizing further using the factors of 3 that add up to -4
2(x2 - x - 3x + 3)
pick out the common factors
2(x(x-1) -3(x-1)
2(x-1)(x-3)
Option D. 2(x - 1)(x – 3) is right
Using the Factor Theorem, the factored form equivalent to this expression is:
[tex]2(x - 1)(x - 3)[/tex], given by option D.
The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.In this problem, the expression is:
[tex]4(x^2 - 2x) - 2(x^2 - 3) = 0[/tex]
[tex]4x^2 - 8x - 2x^2 + 6 = 0[/tex]
[tex]2x^2 - 8x + 6 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 2, b = -8, c = 6[/tex].
Hence:
[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(6) = 16[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + 4}{4} = 3[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - 4}{4} = 1[/tex]
Hence, the expression is:
[tex]2(x - 1)(x - 3)[/tex], given by option D.
You can learn more about the Factor Theorem at https://brainly.com/question/24380382
Alyssa's cat weighs 12 pounds, which is 3/8 of the weight of her dog. Use the equation 3/8d=12 to find the weight of Alyssa's dog.
Answer:
0.5 pounds!
Step-by-step explanation:
Find the slope of the line graphed below.
Answer: 3/2
Step-by-step explanation:
To find the slope, you want to take the two points and plug it into the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. That will find the slope. The points are (-5,-4) and (-1,2).[tex]m=\frac{2-(-4)}{-1-(-5)} =\frac{6}{4}=\frac{3}{2}[/tex]
Now, we know that the slope is [tex]m=\frac{3}{2}[/tex].
9+4f-7z use f=6 and z=5
Answer:
-2
Step-by-step explanation:
9 + 4f - 7z
Use what they have given you
f = 6
z = 5
Now that you have those, all you need to do is substitute them into the expression
9 + 4f - 7z
9 + 4 (6) - 7 (5)
9 + 24 - 35
33 - 35
-2
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer: -2
9 + 4f - 7z
Use what they have given you
f = 6
z = 5
Now that you have those, all you need to do is substitute them into the expression
9 + 4f - 7z
9 + 4 (6) - 7 (5)
9 + 24 - 35
33 - 35
-2
a sequence of payment made at equal time period is a/an'????
Answer:
Annuity.
Step-by-step explanation:
A sequence of payment made at equal time period is called an annuity.
Basically, annuity can be calculated using the compound interest formula. It is given by the mathematical expression;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Additionally, the time period between each payment is called payment period.
The term of an annuity refers to the time from the beginning of the first payment made by an individual to the end of the last payment period.
100 points for answer
As far as I can tell, your graph is correct.
If you look at the x-axis of the graph, you'll see that the graph crosses it when x is 0, 1, 2, 3, and 4. The asymptotes are halfway in between these points, so if you find the midpoints between each set of points, you'll get 0.5, 1.5, 2.5, and 3.5. These are your answers.
Step-by-step explanation:
The answer of this questions is 0.5,1.5,2.5,3.5find the percentage increase of a rectangle
Answer:
your question is quite different. I do not understand properly
Which set of ordered pairs represents y as a function of X?
A {(-3,-1), (2, -1),(5,2)}
® {(-3,-1), (2, 2), (-3,2)}
© {(-3,-1),(5,2), (-3,2)}
D {(-3,-1), (2, 2), (2,5)}
Answer:
A
Step-by-step explanation:
A. Here is why:
In a function, each x maps to exactly one value of y.
In B and C, x = -3 maps to both -1 and 2, is they are not functions.
If two angles are supplementary do they form a straight angle ?
Answer:
Yes. A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary.
What is the value of p2 + r3, when p = 2 & r = 3?
answer is 13
I hope it helpful
Answer:
The value of p² + r³, when p = 2 & r = 3
(2)²+(3)³=4+27=31
31 is the right answer.a red knot is flying at the average speed of 37 miles per hour. the red knot has flown 296 miles. how many hours has it been tracked
Answer:
time = distance / rate
time = 296 miles / 37 mile per hour
time = 8 hours
Step-by-step explanation:
Which is the equation of a line perpendicular to the line with the equation:
y = -3x + 5
A. Y= -3x -7
B. Y= 3x + 2
C. Y= -1/3x - 1/2
D. Y= 1/3x - 1/2
Answer:
D- y=1/3x-1/2
Step-by-step explanation:
I believe that the slope needs to be opposite and the reciprocal
On Wednesday, how many total kilograms of flour were prodľiced at plant #1 and
plant #2 combined?
Answer:
110,000 kg
Step-by-step explanation:
Just look at the kilos of flour produced on Wednesday from both plants and add them together :)
Traveling at approximately 34,300 centimeters per
second, a sound wave would travel about how many
centimeters in 4 hours?
F. 4.94 x 108
G. 4.94 x 107
H. 8.23 x 106
J. 8.23 x 105
K 1.37 x 10
Ally made 60 donuts on Friday. She made 3x donuts on Wednesday and 2x donuts on Thursday. How much donuts did she make in all?
Answer:
Step-by-step explanation: 60 x 3= 380
2 x 60= 270
270 + 380= 810
The null and alternative hypotheses for a hypothesis test of the difference in two population means are: Null Hypothesis:mu 1 equals mu 2 Alternative Hypothesis: mu 1 is less than mu 2 Notice that the alternative hypothesis is a one-tailed test. Suppose ttest_ind method from scipy module is used to perform the test and the output is (3.25, 0.0043). What is the P-value for this hypothesis test
Answer:
the P-value for this hypothesis test is 0.00215
Step-by-step explanation:
Given that;
Null Hypothesis: mu1 = mu2
Alternative Hypothesis: mu1 < mu2
Notice that the alternative hypothesis is a one-tailed test
Now, when when a one-tailed alternative hypothesis is used, To obtain a one-tailed alternative probability value i.e p-value, we divide the result by two (2).
so, given output ( z=3.25, p[tex]_{value}[/tex]=0.0043)
since its one-tailed test
P-value for this hypothesis test = 0.0043 / 2 = 0.00215
Therefore, the P-value for this hypothesis test is 0.00215
Please answer and explain for 15 points
Answer:
55% or 27.2 ounces
A random survey of enrollment at 35 community colleges across the United States yielded the following figures:
6,416; 1,550; 2,110; 9,351; 21,830; 4,299; 5,945; 5,722; 2,827; 2,046; 5,481; 5,202; 5,855; 2,749; 10,011;
6,356; 27,000; 9,415; 7,683; 3,202; 17,502; 9,200; 7,380; 18,315; 6,557; 13,714; 17,767; 7,491; 2,769;
2,861; 1,264; 7,284; 28,165; 5,081; 11,624.
Assume the underlying population is normal.
a. Which distribution should you use for this problem? Explain your choice.
b. Construct a 95% confidence interval for the population mean enrollment at community colleges in the United States.
i. State the confidence interval.
ii. Sketch the graph.
Iii. Calculate the error bound.
c. What will happen to the error bound and confidence interval if 500 community colleges were surveyed? Why?
Answer:
(6243.99, 11014.53) ; 2385.27 ; (7998.17, 9260.34) ;
Step-by-step explanation:
Given the data:
6416; 1550; 2110; 9351; 21830; 4299; 5945; 5722; 2827; 2046; 5481; 5202; 5855; 2749; 10011; 6356; 27000; 9415; 7683; 3202; 17502; 9200; 7380; 18315; 6557; 13714; 17767; 7491; 2769; 2861; 1264; 7284; 28165; 5081; 11624
Using calculator :
Sample mean, m= 8629.25714
Sample standard deviation, s = 6943.92362
1.) T test distribution ;
Sample size, n = 35
Confidence interval (C. I) : m ± Zcritical * s/sqrt(n)
n = sample size = 35
Tn-1,0.025 = t34, 0.025 = 2.0322
C.I = 8629.25714 ± 2.0322 * (6943.92362 / sqrt(35))
C.I = 8629.25714 ± 2385.2689
Lower bound = 8629.25714 - 2385.2689 = 6243.98824
Upper bound = 8629.25714 + 2385.2689 = 11014.52604
(6243.99, 11014.53)
Error bound :
E = t34, 0.025 * (s/sqrt(n))
E = 2.0322 * 6943.92362 / sqrt(35)
E = 2.0322 * 1173.7373
E = 2385.27
C.)
If n = 500
C.I = 8629.25714 ± 2.0322 * (6943.92362 / sqrt(500))
C.I = 8629.25714 ± 631.08285
Lower bound = 8629.25714 - 631.08285 = 7998.17429
Upper bound = 8629.25714 + 631.08285 = 9260.33999
(7998.17, 9260.34)
Error bound :
E = t34, 0.025 * (s/sqrt(n))
E = 2.0322 * 6943.92362 / sqrt(500)
E = 2.0322 * 310.54170
E = 631.08
Both the error margin and the confidence interval reduces due to large sample size.
Each of 16 students measured the circumference of a tennis ball by four different methods, which were: A: Estimate the circumference by eye B: Measure the diameter with a ruler, then compute the circumference C: Measure the circumference with ruler and string D: Measure the circumference by rolling the ball along a ruler
Answer:
Following are the solution to the given equation:
Step-by-step explanation:
Please find the complete question in the attachment file.
In point a:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=22.8[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{119.18}{16-1}}\\\\ =\sqrt{\frac{119.18}{15}}\\\\ = \sqrt{7.94533333}\\\\=2.8187[/tex]
In point b:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=20.6875[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{26.3375}{16-1}}\\\\=\sqrt{\frac{26.3375}{15}}\\\\ =\sqrt{1.75583333}\\\\ =1.3251[/tex]
In point c:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=21[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{2.62}{16-1}}\\\\ =\sqrt{\frac{2.62}{15}} \\\\= \sqrt{0.174666667}\\\\=0.4179[/tex]
In point d:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=20.8375[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{8.2975}{16-1}}\\\\ =\sqrt{\frac{8.2975}{15}} \\\\ =\sqrt{0.553166667} \\\\ =0.7438[/tex]
Out of 40 times at bat, Raul got 15 hits. Find Raul’s batting average.
Answer:
.375
Step-by-step explanation:
To find the batting average, do 15/40. And 15/40=.375
PLEASE HELP! Will give brainliest! Worth 30 points!
9514 1404 393
Answer:
a) 102.4
b) 72.6
c) 87.5
Step-by-step explanation:
The average value of a function over an interval is the integral of that function over the interval, divided by the width of the interval.
(a) The summer average is ...
[tex]\text{summer average}=\displaystyle\dfrac{1}{(\frac{1}{4})}\int_\frac{1}{2}^\frac{3}{4}{T(x)}}\,dx=87.5+23.4\cdot\dfrac{2}{\pi}\approx 102.4[/tex]
__
(b) The winter average is similar:
[tex]\text{winter average}=87.5-23.4\cdot\dfrac{2}{\pi}\approx 72.6[/tex]
__
(c) The annual average is the value added to the cosine function: 87.5
_____
Additional comment
The integral of the cosine function over the period of interest is ...
∫cos(2πx)dx = 1/(2π)sin(2πx)
For the limits x=1/2 and x=3/4, this becomes 1/(2π)(-1 -0) = -1/(2π).
When multiplied by -23.4(1/(1/4)), we get +23.4(2/π).
In the supply-and-demand schedule shown above, at the equilibrium price, the quantity supplied is _____ and the quantity demanded is _____. 0, 500 200, 200 400, 0
Answer:
200, 200
Step-by-step explanation:
the sum of 36 and 3c
Answer:
Step-by-step explanation:
just add 36 and 3
A recreational court is twice as long as it is wide. if the perimeter is 210 feet, find the width and length .
Answer:
The court has a length of 70 feet, and a width of 35 feet.
Step-by-step explanation:
We know two things:
the the length is twice the width
l = 2w
We also know that the perimeter is 210 feet. Noting that the perimeter of a rectangle is equal to twice its length plus twice its width, we can say:
210 = 2w + 2l
Now we can substitute the first definition of l into the second equation:
210 = 2w + 2(2w)
And now we can solve for w:
210 = 2w + 2(2w)
210 = 2w = 4w
210 = 6w
w = 210 / 6
w = 35
Now that we have w, we can plug that into our first little equation to find l:
l = 2w
l = 2 × 35
l = 70
So the width of the court is 35 feet, and it's length is 70.
What is the perimeter of the figure
Answer:
61cm
Step-by-step explanation:
23 + 23 + 5 + 5 + 5 = 61
hope this helps...
Answer:
The perimeter of the figure is 61 cm
Step-by-step explanation:
The Perimeter of a Shape
It's the sum of all the external side lengths of the shape.
The figure shows a compound shape made of an equilateral triangle and a rectangle.
The external sides are two sides of the triangle and three sides of the rectangle:
P = 5 cm + 5 cm + 23 cm + 23 cm + 5 cm =61 cm
The perimeter of the figure is 61 cm
Find the equation of the line parallel to the line g(x) = -0.01x + 2.01 through the point (1, 2).
Answer:
Baka renejay to HAHAHHA
Which organism does not produce an external egg as part of its life cycle? *
1 point
A dog
B turtle
C parrot
D insect
Answer:
dog
Step-by-step explanation:
X-8-3X-10
Use distributive property
Answer:
5x-10
Step-by-step explanation:
8x-3x-10
first you subtract 3from 8 and get 5 just add the x so your left with 10
Answer:
-2(x+9)
Step-by-step explanation:
x-8-3x-10
-4x-18
-2(x+9)
Hope it helps you