Answer:
24 .30ms is the answer I think so if the answer is correct plz mark me as brainliest.
The papaya's speed just before it hits the water will be 24.24 m/s.
What is speed?The rate at which objects moves is called speed. It is given by
[tex]s = \frac{d}{t}[/tex]
An object held above the ground has a potential energy related to the height at which it is held,
PE = mgh
If you drop the object, its potential energy will become the kinetic energy of motion:
KE = ½ mv²
½ mv² = mgh
v = √(2gh)
v = √(2*9.8*30)
v = 24.24 m/s
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Question
A designer has a palette of 14 colors to create a flag. The flag must have 4 vertical stripes. Each stripe must be a different
color: How many possible flags can be created?
Provide your answer below:
Answer: 24,024
Step-by-step explanation
[tex]\frac{14!}{10!}[/tex]
=14*13*12*11*10 /10
=14*13*12*11
=24,024 possible flags that can be created
What are the odds against picking a red marble from a bag of 10 green marbles, 10 yellow marbles, and 5 red marbles?
ASAP ITS TIMED 109
4 2
3 3
Which expression is equivalent to X X
?
o
NO
NIC
X
27
o
7
3
х
Answer:
x^2/3
Step-by-step explanation:
We know that a^b * a^c = a^(b+c)
x ^ 4/3 * x^ 2/3 = x^(4/3+2/3) = x^(6/3) = x^2
x^2 ^ 1/3
We know that a^b^c = a^(b*c)
x^(2*1/3) = x^2/3
Let two events A and B be independent. Knowing P(A)=0.8 and P(A+B)=0.93. Calculate the probability P(B).
Answer:
Hello,
P(B)=0.65
Step-by-step explanation:
If P(A+B) means P(A∪B)=0.93 then you may read below.
Let's say x=P(B)
A and B being independent, P(A∩B)=P(A)*P(B)=0.8*x
Since P(A∪B)=P(A)+P(x)-P(A∩B) ,
0.93=0.8+x-0.8*x
0.2*x=0.13
x=0.65
What is the expected value of the two investments? Type the correct answer in each box. Round your answers to the nearest whole dollar value. The expected value of the Computer Co. stock is $ 5,040 0], and the expected value of the US Treasury bond is $ 5,085
THE AWNSER IS IN THE QUESTION
Answer: $5,040 & $5,085
Step-by-step explanation:
The expected value of the Computer Co. stock is $5,040, and the expected value of the US Treasury bond is $5,085
The expected value of both the stocks Computer Co. and US Treasury bond is $5,062.5.
What is the weighted average?When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.
To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.
The expected value is the weighted average also known as the mean.
Given, The expected value of the Computer Co. stock is $ 5,040, and the expected value of the US Treasury bond is $ 5,085.
Therefore the expected value of both stocks is,
= (5040 + 5085)/2.
= $5,062.5
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Triangles ABC and DEF are similar triangles. What are the lengths of the unknown sides?
A)
DF = 39 cm; DE = 15 cm
B)
DF = 48 cm; DE = 52 cm
C)
DF = 65 cm; DE = 25 cm
D)
DF = 52 cm; DE = 48 cm
Answer:
D)
DF = 52
AB = 48
Step-by-step explanation:
Use the two lengths of sides already given.
Divide to find the scale factor:
20 / 5 = 4
Scale factor: 4
Now multiply to find the unknown sides:
13 × 4 = 52
12 × 4 = 48
DF = 52
AB = 48
Hope this helped.
Find the missing length. The triangles are similar.
Answer:
Missing length = 12
Step-by-step explanation:
Let x represent the missing length.
Since the triangles are similar, ∆KLM ~ ∆KRS, therefore, the ratio of their corresponding side lengths would be the same. This implies that:
KL/KR = KM/KS
KL = 65
KR = 65 - 52
KR = 13
KM = 60
KS = x
Plug in the values
65/13 = 60/x
Cross multiply
65*x = 60*13
65x = 780
Divide both sides by 65
65x/65 = 780/65
x = 12
The function g(x)=8(4*) is reflected across the x-axis to
create f(x).
What is the equation of f(x)?
O f(x)=8(4)
O f(x)=-8(4)*
14
9(x)
12
10
o f(x)=8(4)
o f(x)=-8()
do
OR
4
2
A
-3
-2
2
3
х
-10
-12
f(x)
14
9514 1404 393
Answer:
(b) f(x) = -8(4^x)
Step-by-step explanation:
Reflection across the x-axis multiplies the function by -1.
f(x) = -g(x) = -8(4^x)
jane drove 50 miles more then her husband jim. the total distance traveled was 230 miles. find the number of miles that each of them traveled. (let jim be x and jane be x+50)
Answer:
115
Step-by-step explanation:
You divide 230 by 2 cause there are two peoples. I hope that helps :)
Which matrix equation represents the system of equations?
{-x+ 2y = 0
y= -2
We are given a system of equations,
[tex]\begin{cases}-x+2y=0\\y=-2\\ \end{cases}[/tex]
This will translate into a 2x2 matrix of coefficients (because 2 equations and 2 unknowns),
[tex]\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}[/tex]
The matrix will then be applied to the vector (lower dimensions on top),
[tex]\begin{bmatrix}x\\y\\ \end{bmatrix}[/tex]
And the result vector will be whats on the other side of equals sign,
[tex]\begin{bmatrix}0\\-2\\ \end{bmatrix}[/tex]
So to put everything together,
[tex]\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}\begin{bmatrix}x\\y\\ \end{bmatrix}=\begin{bmatrix}0\\-2\\ \end{bmatrix}[/tex]
Hope this helps :)
find the sum of the given infinite geometric series. NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW
Answer:
320/3
Step-by-step explanation:
First find the common ratio
20/80 = 1/4
The sum of an infinite geometric series
sum = a1/ (1-r) where a1 is the first term and r is the common ratio
=80/ ( 1-1/4)
= 80/(3/4)
= 80 *4/3
= 320/3
What is the remainder when (2x^3 + 4x^2 – 32x + 18) = (x + 3)?
Answer:
X= -5.3 & Y= -2.34
X= 0.49 & Y= 3.49
X= 2.85 & Y=5.85
Step-by-step explanation:
To find the intersection you would need to graph it and locate where both lines will intersect.
The area of a rectangle is given by the trinomial y^ 2 +4y-45. If the length of the rectangle is y + 9 , what is the width of the rectangle?
Step-by-step explanation:
Area of rectangle =L×W
Width =Area
[tex]w idth= \frac{area \ }{length} \\ \\width = \frac{ {y}^{2} + 4y - 45}{y + 9} \\ \\ = \frac{(y - 5)(y + 9)}{(y + 9)} \\ \\ width = y - 5[/tex]
1101001÷11 i am really confused
Answer:
100091
Step-by-step explanation:
Which expression is equivalent to 6x3 + 3y2 – 5x3 + 2y2?
Answer:
The answer is c because6X^3 minus 5X^3 is just X^3 and 3Y^2 plus 2Y^2 is 5Y^2.
You are dealt one card from a 52-card deck. Find the probability that you are not dealt a heart.
The probability is ___.
(Type an integer or a fraction. Simplify your answer.)
Answer:
3/4
Step-by-step explanation:
There are 13 hearts in a 52 deck.
52-13=39
39/52=3/4
The probability that you are not dealt a heart from the deck of cards is 3/4.
What is the probability that you are not dealth with a heart?Probability determines the chances that an event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that you are not dealth with a heart = 1 - (number of hearts / total number of cards)
1 - 13/52 = 39/52 = 3/4
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Work out the values of a, b and k ? 30 points
Answer:
[tex]\displaystyle a=4, b= \frac{25}{4}, \text{ and } k = \frac{125}{2}[/tex]
Step-by-step explanation:
Note that the graph passes through the points: (0, 4), (1, 25), and (1.5, k).
The standard exponential function has the form:
[tex]\displaystyle y = ab^x[/tex]
The point (0, 4) tells us that y = 4 when x = 0. Therefore:
[tex](4) = a(b)^0[/tex]
Since anything raised to zero is one:
[tex]a=4[/tex]
Hence, our function is now:
[tex]y = 4(b)^x[/tex]
The point (1, 25) tells us that y = 25 when x = 1. By substituting:
[tex](25) = 4(b)^{(1)}[/tex]
Solve for b:
[tex]\displaystyle b = \frac{25}{4}[/tex]
Thus, our completed function is:
[tex]\displaystyle y = 4\left(\frac{25}{4}\right)^x[/tex]
To find k, simply substitute 1.5 for x. This yields:
[tex]\displaystyle y = k = 4\left(\frac{25}{4}\right)^{(1.5)}[/tex]
And evaluate. Hence:
[tex]\displaystyle \begin{aligned} k &= 4\left(\frac{25}{4}\right)^{3/2} \\ \\ &= 4\left(\left(\frac{25}{4}\right)^{1/2}\right)^3 \\ \\ &= 4\left(\frac{5}{2}\right)^3 \\ \\ &= 4\left(\frac{125}{8}\right) \\ \\ &= \frac{125}{2}\end{aligned}[/tex]
In conclusion:
[tex]\displaystyle a=4, b= \frac{25}{4}, \text{ and } k = \frac{125}{2}[/tex]
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X 5 the number of months between successive payments. The cdf of X is as follows:
0 x<1
0.30 1< x <3
F(x)= 0.40 3< x <4
0.45 4< x <6
0.60 6< x <12
1 12< x
Required:
a. What is the pmf of x?
b. Using just the cdf, compute P(3< x <6)and P(4< x)
Answer:
(a)
[tex]\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}[/tex]
(b)
[tex]P(3 \le x \le 6) = 0.30[/tex]
[tex]P(4 \le x)=0.60[/tex]
Step-by-step explanation:
Given
[tex]F(x) = \left[\begin{array}{ccc}0& x<1 &\\0.30&1 \le x<3 &\\0.40&3 \le x < 4& &0.45 &4 \le x<6 &\\0.60 & 6 \le x < 12 & & 1 & 12 \le x\end{array}\right[/tex]
Solving (a): The pmf
This means that we list out the probability of each value of x.
To do this, we simply subtract the current probability value from the next.
So, we have:
[tex]\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}[/tex]
The calculation is as follows:
[tex]0.30 - 0 = 0.30[/tex]
[tex]0.40 - 0.30 = 0.10[/tex]
[tex]0.45 - 0.40 = 0.05[/tex]
[tex]0.60 - 0.45 = 0.15[/tex]
[tex]1 - 0.60 = 0.40[/tex]
The x values are gotten by considering where the equality sign is in each range.
[tex]1 \le x < 3[/tex] means [tex]x = 1[/tex]
[tex]3 \le x < 4[/tex] means [tex]x = 3[/tex]
[tex]4 \le x < 6[/tex] means [tex]x=4[/tex]
[tex]6 \le x < 12[/tex] means [tex]x = 6[/tex]
[tex]12 \le x[/tex] means [tex]x = 12[/tex]
Solving (b):
[tex](i)\ P(3 \le x \le 6)[/tex]
This is calculated as:
[tex]P(3 \le x \le 6) = F(6) - F(3-)[/tex]
From the given function
[tex]F(6)= 0.60[/tex]
[tex]F(3-) = F(1) = 0.30[/tex]
So:
[tex]P(3 \le x \le 6) = 0.60 - 0.30[/tex]
[tex]P(3 \le x \le 6) = 0.30[/tex]
[tex](ii)\ P(4 \le x)[/tex]
This is calculated as:
[tex]P(4 \le x)=1 - F(4-)[/tex]
[tex]P(4 \le x)=1 - F(3)[/tex]
[tex]P(4 \le x)=1 - 0.40[/tex]
[tex]P(4 \le x)=0.60[/tex]
Find the surface area of the figure and round your answer to the nearest tenth if necessary
Answer:
351.86
Step-by-step explanation:
the formula is
surface area=2πrh+2πr²
r= radius
h=height
Find the largest factor of 2520 that is not divisible by 6.
5, 3 = 28
7,6 = 55
4,5 = 21
3,8 = ?
Answer:
3,8 =
Step-by-step explanation:
3 X 3 + 8 = 9 + 8 = 17
Square the first number and add the second number to it.
Solving a word problem on proportions using a unit rate
Lucy made $95 for 5 hours of work.
At the same rate, how much would she make for 13 hours of work?
sl
X Х
5
?
Answer:
$247
Step-by-step explanation:
$95 = 5 h
1 h = 95 ÷ 5 = $19/h
$19 × 13h = $247
she would make $247 after 13 hours of work.
How many hours in 20 days
Step-by-step explanation:
1 day = 24 hrs
so, 20 days = 20 × 24 = 480 hours
mark me as brainliest
Answer:
480 hours
Step-by-step explanation:
There’s a pic of the question, answer fasterrrrr pleaseeeee
Answer:
Sorry this is NWEA so I want you to try and figure it out on your own, hint: use subtraction.
Step-by-step explanation:
An article is marked to sell at a gain of 10%. If it be sold for Rs. 7.50 less there would be loss of 5%, find the cost price.
Answer:
750,. is answer
I hope it helps
Write the equation, in slope intercept form of the line that has a slope of 2 and passes through the point (1,3)
Answer:
y = 2x + 1
Step-by-step explanation:
y = mx + c
m = slope = 2
y = 2x + c
sub x = 1, y = 3
3 = 2(1) + c
c = 1
Solve for x in the equation x2 - 4x-9= 29
Explain how the given graph is deceptive.
Complete the statements based on the bar graph.
By not starting the horizontal axis at 0, the
bar appears to be about one-fourth the height of the Pecan bar. The
bar appears to be about one-half the height of the Pecan bar. The
bar appears to be less than one-half the height of the Pecan bar. This misleads the viewer to
the number of each type of nut used
Ans:
Pine Nut
Walnut
Almond
Understimate
Answer:
In the picture below.
Step-by-step explanation:
From the commenter and answer above, confirmed on edge 2022.
g A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 679 pounds per 1000 miles with a standard deviation of 15 pounds. At α = 0.05, in a left-tailed test (assuming equal variances) the test statistic is: Group of answer choices
Answer:
0.236
Step-by-step explanation:
Given :
x1 = 667 ; n1 = 10 s1 = 20
x2 = 679 ; n2 = 14 s2 = 15
Test statistic :
(x1 - x2) / √[Sp² (1/n1 + 1/n2)]
The pooled Variance, Sp² :
Sp² = [(n1 - 1)s1² + (n2 - 1)s2²] / (n1 + n2 - 2)
Sp² = [(9*20²) + (13*15²)] / (10+14-2)
Sp² = 6525 / 22 = 296.59
T = (667 - 679) / √(296.59*(1/10 + 1/14)
T = -12 / 50.844
T = 0.236
Test statistic = 0.236
"What mathematical ideas are you curious to know more about as a result of takingthis class? Give one example of a question about the material that you'd like to explorefurther, and describe why this is an interesting question to you."
One mathematical idea I've always been curious about is "integration and derivation".
Integration is about assimilating different variables. Derivation is a mathematical process whereby a result is gotten from some initial assumptions.
Integration is used everyday in different aspects of our lives. For example, if a person is travelling from let's say point A to point B, the speed used by the person might vary but through integration, one can easily get the accurate speed.
Through the division of equations into smaller bits, once can use integration to get the answer that one seeks. Architect can use integration in building the right structures at the exact places where the structures fits.
Likewise derivatives can be used by businesses in assessing whether a profit or loss will be made for a particular transaction or sale of product.
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