Answer:
2.44 seconds (above 2 seconds)Step-by-step explanation:
When the stick hits the ground it has the height of zero.
Substitute h with 0 and solve the given equation for t:
[tex]- 16t^2 + 95 = 0\\16t^2 = 95\\t^2 = 95/16\\t = \sqrt{5.93} \\t=2.44[/tex]
The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours? A probability distribution has the number of hours on the x-axis and the probability on the y-axis. The probability of 6 hours is 0. 02; 7 hours is 0. 11; 8 hours is 0. 61; 9 hours is 0. 15; 10 hours is 0. 9. 0. 62 0. 78 0. 84 0. 96.
The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
How to evaluate the probability of a random variable getting at least some fixed value?Suppose the random variable in consideration be X, and it is discrete.
Then, the probability of X attaining at least 'a' is written as:
[tex]P(X \geq a)[/tex]
It is evaluated as:
[tex]P(X \geq a) = \sum_{\forall \: x_i \geq a} P(X = x_i)[/tex]
The probability distribution of X is:
x f(x) = P(X = x)
6 0.02
7 0.11
8 0.61
9 0.15
10 0.09
Worker working at least 8 hours means X attaining at least 8 as its values.
Thus, probability of a worker chosen at random working 8 hours is
P(X ≥ 8) = P(X = 8) + P(X = 9) +P(X = 10) = 0.85 ≈ 0.84 approx.
By the way, this probability distribution seems incorrect because sum of probabilities doesn't equal to 1.
The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
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Jill wants to have ride at least 144 miles on her bike. Her riding speed is 9 miles per hour. Which inequality(s) represents how many h hours she needs to ride?
Hey there!
Let's make an equation
=> 9h = 144
{ Make h the subject of formula}
=> 9h = 144
=> 9h/9 = 144/9
=> h = 144/9
=> h = 16
Lita must find the area of the sector enclosed by central angle QCR in circle C.
Points Q and R lie on circle C. The measure of angle Q C R is 74 degrees and the radius of circle C is 1 foot.
What steps should Lita take to correctly solve this problem?
A: Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360∘, so the portion of the area she wants to find is 74∘360∘. Therefore, she must multiply 74∘360∘ times the area, which is πr2.Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360 degrees textsf comma so the portion of the area she wants to find is 74∘360∘. Therefore, she must multiply 74∘360∘ times the area, which is πr2.
B: Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360∘, so the portion of the area she wants to find is 74∘360∘, so she must multiply 74∘360∘ times the area, which is 2πr.Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360 degrees textsf comma so the portion of the area she wants to find is 74∘360∘, so she must multiply 74∘360∘ times the area, which is 2πr.
C: Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360∘, so she should subtract 74∘ from 360∘. The portion of the area she wants to find is 286∘360∘, so she must multiply 286∘360∘ times the area, which is 2πr.Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360 degrees textsf comma so she should subtract 74 degrees from The portion of the area she wants to find is 286∘360∘, so she must multiply 286∘360∘ times the area, which is 2πr.
D: Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360∘, so she should subtract 74∘ from 360∘. The portion of the area she wants to find is 286∘360∘, so she must multiply 286∘360∘ times the area, which is πr2.
To find the area of the sector, Lita must multiply 74°/360° times the area of the circle, which is πr² (Option A).
What is the Area of the Sector of a Circle?Area of sector = ∅/360 × πr², where ∅ = central angle, and r = radius of the circle.
Given the following:
∅ = m∠QCR = 74°r = 1 ft.The area of the circle she wants to find is: 74°/360°.
Since the area of the whole circle is, πr², therefore, to find the area of the sector, Lita must multiply 74°/360° times the area of the circle, which is πr² (Option A).
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A circular pizza that is 17 inches in diameter is cut into 6 equal slices. What is the area of one of the slices?
The area of one slice is in?
Answer:
51
Step-by-step explanation:
17x6=51
what percent of 32 is 5.6
Answer:
17.5 %
Step-by-step explanation:
5.6 is 17.5 percent of 32
sandra calculated the missing side of one of these three triangles using the pythagrean therom which triangle is it
Answer:
right angled triangle
Step-by-step explanation:
the only triangle that this formula can be used to find a side is the right angled triangle
A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?
Answer:
8
Step-by-step explanation:
For the smallest possible length, this has to be one of the shorter sides. Let the length of this side be x.
So, by the triangle inequality theorem, 1+x>8, which means x>7.
So, the smallest possible whole number length is 8.
Can someone please help me out with this question?
Answer:
A. x=6, y=3
Find the point where the two lines intersect and find the x and y coordinates where they intersect.
Toby thinks of a number less than 15. He divides it by 2 and then he adds 4. He then divides it by 3. His awnser is 3. 5
Answer:
The number he thought of was 13
Step-by-step explanation:
Revers the problem
3.5 * 3 = 10.5
10.5 - 4 = 6.5
6.5 * 2 = 13
The number was 13 if Toby thinks of a number less than 15. He divides it by 2 and then he adds 4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Toby thinks of a number less than 15. He divides it by 2 and then he adds 4.
Let the number be x:
From the question:
Revers the problem
x =(3.5×3 - 4)×2
x = (10.5 - 4)×2
x = 6.5×2
x = 13
Thus, the number was 13 if Toby thinks of a number less than 15. He divides it by 2 and then he adds 4.
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One number is 32 more than another. Their product is −256.
Answer:
ok so this is a system of equations
x+32=y
x*y=-256
so lets just make y x+32
x^2+32=-256
-32
x^2=-288
find root
this can't be solved since negitive numbers don't have roots
Hope This Helps!!!
WHO IS GOOD AT MATH AND CAN HELP ME WITH 20 QUESTIONS
The rectangular prisms shown are packed with unit cubes. Match the rectangular prisms that have the same volume.
Answer:
Step-by-step explanation:
In order to find which prisms have the same, we use the formula:
A = L x W x H (Area = Length x Width x Height)
So, count the individual squares on each side, multiply them, and that is the area. Then, find which ones are the same:
Cube 1: A = 4 x 4 x 3 = 48
Cube 2: A = 6 x 4 x 2 = 48
Cube 3: A = 4 x 3 x 3 = 36
Cube 4: A = 8 x 2 x 2 = 32
Cube 5: A = 4 x 2 x 4 = 32
Cube 6: A = 6 x 2 x 3 = 36
So, Cube 1 and Cube 2 are the same with 48.
Cube 3 and Cube 6 are the same with 36.
Cube 4 and Cube 5 are the same with 32.
:)
Answer: 1 and 2, 4 and 5, and 3 and 6.
Step-by-step explanation: To find the volume of a rectangular prism, you multiply the length, width, and height to get the volume. The volumes for each cube is in the order of top left and continue until the bottom right.
48 cubic units.48 cubic units.36 cubic units.32 cubic units.32 cubic units.36 cubic units.From there, you can match them, and then your answer is complete.
Let me know if this is right! :)
the half life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial amount . The half-life of the radioactive gas radon is approximately 3.8 days. The initial amount of radon used in an experiment is 75 grams. if N represents the number of grams of radon remaining t days after the start of the experiment,
a. Write an equation that gives N in terms of t.
b. How much gas radon approximately remains after 3.8 days?
c. approximately when will the amount of radon remaining be 10 grams?
Using an exponential function, it is found that:
a) [tex]N(t) = 75(0.5)^{\frac{t}{3.8}}[/tex]
b) 37.5 grams of the gas remains after 3.8 days.
c) The amount remaining will be of 10 grams after approximately 11 days.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.Item a:
We start with 75 grams, and then work with a half-life of 3.8 days, hence the amount after t daus is given by:
[tex]N(t) = 75(0.5)^{\frac{t}{3.8}}[/tex]
Item b:
This is N when t = 3.8, hence:
[tex]N(t) = 75(0.5)^{\frac{3.8}{3.8}} = 37.5[/tex]
37.5 grams of the gas remains after 3.8 days.
Item c:
This is t for which N(t) = 10, hence:
[tex]N(t) = 75(0.5)^{\frac{t}{3.8}}[/tex]
[tex]10 = 75(0.5)^{\frac{t}{3.8}}[/tex]
[tex](0.5)^{\frac{t}{3.8}} = \frac{10}{75}[/tex]
[tex]\log{(0.5)^{\frac{t}{3.8}}} = \log{\frac{10}{75}}[/tex]
[tex]\frac{t}{3.8}\log{0.5} = \log{\frac{10}{75}}[/tex]
[tex]t = 3.8\frac{\log{\frac{10}{75}}}{\log{0.5}}[/tex]
[tex]t \approx 11[/tex]
The amount remaining will be of 10 grams after approximately 11 days.
More can be learned about exponential functions at https://brainly.com/question/25537936
Find the range of:
8, 14, 6, 12, 11,9
Choose the appropriate table for the differential equation dy/dx=x+1/x
Answer: 1.
x |0|0.5|2
dy/dx |2|5 |undefined
2.
x |0 |0.5| 2
dy/dx |undefined|5 | 2
3.
x | 0 |0.5|2
dy/dx|undefined |4 |2
Step-by-step explanation:
Find the equation of a line that passes through the point (1,-4) and has a gradient of 2. Leave your answer in the form y = m x + c
Answer:
Step-by-step explanation:
(1,-4) m=2
first find c
-4=2×1+c
c=-6
y=2x+-6
Eva is solving the equation 4(x+3/2)=8 She says, “I can subtract 3/2 from each side to get 4x=13/2 and then divide by 4 to get x=13/8."
Answer:
Wrong
Step-by-step explanation:
Eva must subtract 4*3/2=6 from each side to get 4x=2, the divide by 4 to get x=1/2
Another way:
First, divide both sides with 4 to get x+3/2=2. Then subtract 3/2 from each side and we will have x= 2-3/2= 1/2
Which model best fits the data shown in the scatterplot?
A. y=-0.7x+1.9
B. y = 0.7x+1.9
C. y=-0.7x-3.8
D. y=1.9x-07
Answer:
A. y = -0.7x + 1.9
Step-by-step explanation:
The y-intercept is roughly +2 as you can see from the scatterplot therefore ⇒ Not option C or D [both of which are negative]The slope is slanted from top left to right bottom [meaning the slope is negative] ⇒ Not BThe correct option is AThe steps below show the incomplete solution to find the value of x for the equation 8x − 3x − 1 = −2 + 16:
Step 1: 8x − 3x − 1 = −2 + 16
Step 2: 8x − 3x − 1 = 14
Step 3: 5x − 1 = 14
Which of these is most likely the next step?
5x = 14
5x = 10
5x = 13
5x = 15
Answer:
5x=15. I hope it can help you a lots. thanks.
Step-by-step explanation:
5x=14+1
5×=14.
6
It costs 35p per minute to hire a powerful computer. How much will it cost to hire the
computer from 07:40 to 08:15?
Answer:
1225p
Step-by-step explanation:
1 minute = 35p
07:40 to 08:15 : 35 minute
=> 35 minute *35p=1225p
Find the value of x. Round to the nearest degree. Explain step by step
Please help will give brainlest! locks in 30 min!
Answer:
1
Step-by-step explanation:
[tex] \tan( \frac{5\pi}{4} ) \times \frac{\pi}{180} = 1.19[/tex]
The question wants in radian, not in degrees since using the unit circle. Hope this helps
Answer:
a) 1
Step-by-step explanation:
Tan 5pi/4: 1
Tan (-5pi/4): -1
Tan 5pi/4 in degrees: tan (225°)
Can you reflect an angle over the line y = -x? Explain.
O No, there is not a way to map the vertex of the preimage angle to the vertex of the image angle.
Yes, only angles can be reflected over diagonal lines.
O No, you cannot reflect angles over diagonal lines.
O Yes, you can reflect angles, or any object, in the coordinate plane over any line in the plane.
Answer: Yes, only angles can be reflected over diagonal lines.
Step-by-step explanation:
see photo
In an amusement park ride, a rider suspended by cables swings back and forth from a tower. The maximum speed v (in meters per second) of the rider can be approximated by v=2gh, where h is the height (in meters) at the top of each swing and g is the acceleration due to gravity (g≈9.8 m/sec^2). Determine the height at the top of the swing of a rider whose maximum speed is 15 meters per second. Round your answer to the nearest tenth.
According to the equation for the maximum speed, it is found that the height at the top of the swing of the rider is of 0.8 m.
What is the equation for the maximum speed?As stated in the problem, it is given by:
v = 2gh.
In which:
v is the maximum speed.g is the gravity.h is the height.In this problem, the parameters are g = 9.8, v = 15. Hence we can solve for h to find the height.
v = 2gh
2 x 9.8h = 15
19.6h = 15
h = 15/19.6
h = 0.8.
The height at the top of the swing of the rider is of 0.8 m.
More can be learned about functions at https://brainly.com/question/25537936
Find the area of the figure. Use 3.14 for π.
Total Area:- Area of square + area of Semicircle
Total area :- (L×B)+ (½× πr²)
Total area:- (12×12)+(½×π6²)
Total area:- 144+(½× 113)
Total area:- 144+ 56.5
Total area :- 200.5
The quotient of c and 6 is greater than or equal to -20
Translate the sentence into an inequality.
Answer:
c/6 ≥ -20
Step-by-step explanation:
The quotient of c and 6 basically means c divided by 6 (minor note: we also go by the order it's written in). We place in '≥' in this inequality because, greater than means '>' and the line underneath it signifies an equal to sign, and as a result of this, we get -20.
HELP PLEASE IM STRUGGLING
Step-by-step explanation:
Both are very correct,
[tex]5 { }^{ - 2} = \frac{1}{25} \: or \: \frac{1}{5 {}^{2} } [/tex]
because any number raised to the power of a negative
is given as
[tex]a {}^{ - x} = \frac{1}{a {}^{x} } [/tex]
if this helped pls give brainliest
Use the function below to find f(-4).
fx) = 2^x
Answer:
1/16
Step-by-step explanation:
plug in -4 instead of the x.
if the exponent is negative it can be written as 1/2^4
so the answer is 1/16
The expression x+x+x+x is equivalent to bx.
What’s the value of b
Answer:
4x
Step-by-step explanation:
X is incremented by 1
Answer:
Step-by-step explanation:
There is a 1 in front of the x. 1 is never written, but really the question looks like
1x +1x +1x +1x which when summed gives 4 x
b = 4
write an absolute value equation in the format lx-bl=c (where b is a number and c could be both a number or expression) with one solution x=-3
Find of 14. 3/7
A. 3
B. 5
C. 6
D. 2
Answer:
C. 6.
Step-by-step explanation:
3/7 of 14
= 3*14/7= 42/7
= 6.