Answer:
Probability that the temperature below average = 20%
Step-by-step explanation:
Given:
Probability that tomorrow's temperature average = 55%.
Probability that the temperature above average = 25%
Find:
Probability that the temperature below average
Computation:
Probability that the temperature below average = 100% - Probability that tomorrow's temperature average - Probability that the temperature above average
Probability that the temperature below average = 100% - 55% - 25%
Probability that the temperature below average = 100% - 80%
Probability that the temperature below average = 20%
Lyra is designing a model of a solar system with a planet and a comet. The planet has a circular orbit, centered at the origin with a diameter of 140. The comet follows a parabolic path with directrix x = 100 and vertex at (85, 0). Part A: Write the equation of the planet's orbit in standard form. Show your work. (2 points) Part B: Write the equation of the comet's path in standard form. Show your work. (4 points) Part C: Identify all points where the planet's orbit intersects the path of the comet. Show your work and round answers to the hundredths place. (4 points)
Answer:
Part A: The equation of the planet's orbit is simply the equation of a circle with radius 70 (half the diameter) and center at the origin. The standard form equation of a circle with radius r and center at (h,k) is (x-h)^2 + (y-k)^2 = r^2. In this case, h and k are both 0, so the equation of the planet's orbit is simply x^2 + y^2 = 70^2.
Part B: The equation of the comet's path is a parabola with directrix x=100 and vertex at (85, 0). The standard form equation of a parabola with directrix x=p, vertex at (h,k), and focus at (h,k+f) is y = (4f/p^2)(x-h)^2 + k. In this case, p=100, h=85, k=0, and f is the distance from the vertex to the focus. We can find f by using the equation f = sqrt(p^2+4ah), where a is the distance from the vertex to the directrix. In this case, a=50, so f = sqrt(100^2+45085) = 50. Plugging this value into the equation for the parabola, we get y = (4*50/100^2)(x-85)^2 + 0. Simplifying this gives us y = (2/25)(x-85)^2.
Part C: To find the points where the planet's orbit intersects the path of the comet, we need to find the points where the x and y coordinates of the two equations are equal. Setting the two equations equal to each other gives us (2/25)(x-85)^2 = x^2 + y^2 - 70^2. Expanding the left side and rearranging the terms gives us x^2 - 170x + 15129 = 0. We can use the quadratic formula to find the solutions for x: x = (170 +/- sqrt(170^2 - 4115129))/2. This simplifies to x = 85 +/- sqrt(40900). Therefore, the points of intersection are (85 + sqrt(40900), 0) and (85 - sqrt(40900), 0). Rounding these values to the hundredths place gives us (92.84, 0) and (77.16, 0).
Which of the following is the graph of the function shown above? A.W, B. X C.Y D.Z
The given function will be represented by a straight line graph, as shown below in the attachment.
What is a function in graph?On a coordinate plane, functions can be graphed. To graph a function, first select several input values and compute the outputs. The x value is the independent variable, and the y value is the dependent variable. Plot the points and connect them with a line or a curve, depending on whether the function is linear or curvilinear.
Linear functions are written as y = mx + b, where m is the slope of the line and b is the y-intercept. A linear function's graph is a straight line that represents a constant rate of change between two variables. All other functions are curvilinear or non-linear.
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Is this a function? Answer only if you know if you put links I will report
Answer:
Not a function
Step-by-step explanation:
HAVE A NICE DAY
WILL GIVE BRAINLST :)
Answer:
number 3 is 30, number 4 is 46 and the last one is 55
Answer:
3. 30°
4. 46°
5. 55°
Step-by-step explanation:
You add the two known angle measures and subtract that number from 180, since all the angle measures will add up to 180°. Hope this helped!
HELPP ME PLSSS !!!!ITS IN THE PIC
Answer:b
Step-by-step explanation:
30 poins on he line hurr
Answer:
[tex]\frac{29}{6}[/tex]
Step-by-step explanation:
Multiply the denominator by the whole number.
6 × 4 = 24
Add the answer from step 1 to the numerator.
24 + 5 = 29
Write answer from step 2 over the denominator
[tex]\frac{29}{6}[/tex]
Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz. An ornithologist would like to make some inference about the average body mass of Goldfinch birds. In particular, she would like to create a formula to compute 70 % confidence interval formula for the average body mass of this specie. Her equipment allows her to sample 10 birds, using the 10 independent measurements CREATE the formula to generate 70% confidence intervals. Explain the crucial steps.
Answer:
The formula to generate 70% confidence interval is: [tex][\overline{x} - 0.013, \overline{x} + 0.013][/tex], in which [tex]\overline{x}[/tex] is the sample mean.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.
This means that [tex]\sigma = 0.04[/tex].
Sample of 10 birds:
This means that [tex]n = 10[/tex].
The margin of error is of:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.037\frac{0.04}{\sqrt{10}}[/tex]
[tex]M = 0.013[/tex]
The lower end of the interval is the sample mean of [tex]\overline{x}[/tex] subtracted by M.
The upper end of the interval is the sample mean of [tex]\overline{x}[/tex] added to M.
Then, the formula to generate 70% confidence interval is: [tex][\overline{x} - 0.013, \overline{x} + 0.013][/tex], in which [tex]\overline{x}[/tex] is the sample mean.
What is the total surface area of the figure?
If given the following scenario: The half-life of Sodium-24 is 15
hours. If you start with 352 grams of Sodium-24 how much would
be left after 8 days?
0.049 grams
Approximately 0 grams
1.375 grams
95.965 grams
Sodium has two radioactive cosmogenic isotopes (22Na, half-life = 2.605 years; 24Na, half-life = ~ 15 hours) that have been used as tracers in hydrologic studies.
Sodium-24 how much would be left after 8 days?Sodium-24, a radioactive isotope having a half life of 15 hours is used medically in blood studies and it decays by beta decay.
Na has received considerable attention in hydrologic research because it is a mobile element that participates in precipitation and dissolution reactions in ground water (clay formation, albitization of plagioclase). Their short half-lives (i.e. high decay rate) make their measurement relatively easy by common radioanalytical techniques.
Substantial concentrations of 22Na and 24Na have been measured in precipitation (Roedel, 1970; Perkins et al., 1970). However, no studies have as yet been published documenting the cosmogenic sodium systematics in ground or surface waters.
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Fractions greather than 1/2
Answer:
[tex]\frac{6}{10}, \frac{7}{10}, \frac{8}{10},\frac{9}{10}[/tex] (in general, the numerator has to be greater than half the denominator)
Step-by-step explanation:
There are an infinite number of fractions greater than 1/2, but we can generally form a rule to figure out whether a fraction is greater than 1/2, which will help us find those fractions!
Forming a Rule:Let's first just express a fraction in the form: [tex]\frac{a}{b}[/tex], and we have to ask our self, what determines whether this is 1/2? Well we know if we have 1/2, and multiply it by two, then we have a whole, or one, but the only case where we have a whole, or one, in fraction form, is where the numerator and denominator are equal.
This means, multiplying the numerator "a" by 2, will result in it being equal to the denominator "b". From here, it can be determined that for the fraction: [tex]\frac{a}{b}[/tex], to be 1/2, then the numerator "a" has to be half the denominator "b". But this is just telling us what "a" and "b" need to be, for the fraction to be equal to 1/2, not greater than 1/2. This is still useful, since in general the following is true: [tex]\frac{a+1}{b}[/tex], if we add one to the numerator, the fraction becomes bigger. So if we want the fraction to be bigger than 1/2, the numerator "a" just needs to be bigger or larger than the half the denominator "b".
Examples:Let's select a denominator, and from there find numerators that make the fraction bigger than 1/2. For this example let's just select "9". In this case, for a fraction to be 1/2, the numerator just has to be larger than 9/2 or 4.5, but since we can't have decimals in fractions, or at least proper fractions, we just need the numerator to be greater than or equal to 5 (5 is included, since it's still bigger than 4.5)
[tex]\frac{4}{5}[/tex] is actually the only proper fraction, since 5/5 would just simplify to one.
Let's do another example, in this case let the denominator be 10. For the fraction to be considered greater than 1/2, the numerator, has to be greater than half the denominator, 10/2 = 5.
[tex]\frac{6}{10}, \frac{7}{10}, \frac{8}{10},\frac{9}{10}[/tex] would all be valid answers (although some do simplify further). But all of them represent fractions which have a greater value than 1/2
What’s the answer pls?
Therefore ,option 3 is hence the appropriate choices. By the Side-Angle-Side Triangle Congruence Theorem, these triangles are congruent.
Triangle definitionAny three points in a plane can be connected to create triangles, which have three sides and three angles. They were one of the very first geometric shapes to be studied. They are particularly important because any polygon, whether it has four, five, six, or n sides, may be split into a triangle.
Here,
From the provided figure, it is clear that there are two triangles.
ABC and EFG are the triangles.
AB = EF
AC = FG
BC = EG
As a result, the triangles ABC and EFG are congruent according to the triangle's SSS theorem, and angle A is equal to angle D.
Therefore ,D and E are hence the appropriate choices. By the Side-Angle-Side Triangle Congruence Theorem, these triangles are congruent.
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Trevor covered a cylindrical can with paper for a project. The
can is 18 centimeters tall and has a 5 centimeter radius.
Which is closest to the minimum amount of paper Trevor
needed to cover the entire can?
Answer:
722 cm ^2
Step-by-step explanation:
How many milliliters of chocolate milk are in the container shown? Enter your answer in the box.
Answer:
3000ml
Step-by-step explanation:
3 liters= 3000ml
formula: multiply the volume by 1000 to find the milliliters
what is the closest estimate of x where f(x) = g(x)?
You are going to run at a constant speed of 6.5 miles per hour for 30 minutes. You calculate the distance you will run. What mistake did you make in your calculation? [Use the formula S = dt.]
Answer:
Below
Step-by-step explanation:
S = dt S = distance d = rate = 6.5 m/ hr t = time = 30 min = 1/2 hr
S = (6.5 m/hr) *(1/2 hr) = 3.25 miles
The value of distance you will run will be;
⇒ Distance = 3.25 miles
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
You are going to run at a constant speed of 6.5 miles per hour for 30 minutes.
Here,
Speed = 6.5 miles per hour
Time = 30 minutes
= 30/60 hour
= 1/2 hour
We know that;
⇒ Speed = Distance / Time
Substitute all the values we get;
⇒ 6.5 = Distance / (1/2)
⇒ 6.5 × 1/2 = Distance
⇒ Distance = 3.25 miles
Thus, We get;
⇒ Distance = 3.25 miles
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Which mixed number is equivalent to the improper fraction?
41/4
A. 10 1/4
B. 3 11/10
C. 9 5/4
D. 4 1/10
A 1,000-gallon holding tank initially contains 200 gallons of water that is contaminated by 100 pounds of gunk. A pipe is dumping more contaminated water into the tank at a rate of 16 gallons per minute. The concentration of gunk in this incoming water is 0.6 pounds per gallon. A second pipe is taking the well mixed solution out of the tank at a rate of 14 gallons per minute. How much gunk will be in the tank when the tank is full
Answer:
600 pounds of gunk
Step-by-step explanation:
Given data:
Initial volume of water = 200 gallons
Initial mass of gunk = 100 pounds
dumping rate of pipe( contaminated water into tank ) = 16 gallons per minute
concentration of Gunk = 0.6 pounds / gallon
removal rate of second pipe = 14 gallons per minute
Determine how much gunk will be in the tank when the tank is full
Amount of gunk when tank is full = 599.99 pounds ≈ 600 pounds ≈
Attached below is a detailed solution
Please answer 1, 2, and 3. WILL GIVE BRAINLIEST.
WORTH 18 POINTS
Answer:
8
-5
12
Step-by-step explanation:
9514 1404 393
Answer:
7 -1 2/3 4Step-by-step explanation:
The average rate of change of a function f(x) on interval [a, b] is the slope of the line through points (a, f(a)) and (b, f(b)). The slope formula tells you that is ...
m = (f(b) -f(a))/(b -a)
1) The rate of change in the interval [1, 2] is ...
rate of change = (2³ -1³)/(2 -1) = (8 -1)/1 = 7
__
2) rate of change = ((√4 -8) -(√1 -2))/(4 -1) = (-6-(-1))/3 = -5/3
__
3) rate of change = (11 -(-1))/(5 -2) = 4
please help!!! HURRY!!
please help!!! HURRY!!
Help me with this math equation.
Answer:
7y+21
Step-by-step explanation:
7(y+4)-7
=7y+28-7
=7y+21
[tex]{\boxed{\mathcal{\red{7\:y\:+\:21}}}}[/tex] ✔
Also,
The value of [tex]\sf\purple{"y"\:is\:-3.}[/tex] ✅
Step-by-step explanation:-[tex]7(y + 4) - 7 = 0 \\ ➪ \: 7 \: y + 28 - 7 = 0 \\ ➪ \: 7 \: y + 21 = 0 \\ ➪ \: 7 \: y = - 21 \\ ➪ \: y = \frac{ - 21}{7} \\ ➪ \: y = - 3[/tex]
To verify:-[tex]7 \: ( \: y + 4 \: ) - 7 = 0 \\ ⇢ \: 7 \: ( - 3 + 4) - 7 = 0 \\ ⇢ \: 7 \: (1) - 7 = 0 \\ ⇢ \: 7 - 7 = 0 \\ ⇢ \: \: 0 = 0[/tex]
[tex]\longrightarrow{\purple{L.H.S\:=R.H.S}}[/tex]
Hence Verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
help asap ill mark brainliest
Answer:
Step-by-step explanation:
put all of the sets in a mean median and mode calcultor then add the three numbers toghter
Consider a geometric sequence whose first term is 64 and fourth term is 125.
Part A: Determine the value of the common ratio.
Part B: Write the recursive formula for this sequence.
Part C: Write the explicit formula for this sequence.
Please help!
Answer:
Given a GP where:
a₁ = 64a₄ = 125Part AFormula for nth term:
aₙ = a₁rⁿ⁻¹a₄ = a₁r³125 = 64r³r³ = 125/64r = 5/4Part BRecursive formula
a₁ = 64aₙ = (5/4)aₙ₋₁Part CExplicit formula:
aₙ = 64(5/4)ⁿ⁻¹
Simplify - 4 of u-2
Answer:
it's 30
Step-by-step explanation:
30+4_2= dakukabilat
order these numbers from least to the greatest, 47/10,4.606,4+13/20,4.64
Answer:
From lowest to highest, the numbers would follow the following order:
1) 4.606, 2) 4.64, 3) 4 + 13/20, 4) 47/10.
Step-by-step explanation:
Given that the numbers 47/10, 4.606, 4 + 13/20 and 4.64 are presented, to order these from lowest to highest, the following calculations must be performed:
47/10 = 4.70
4,606
4 + 13/20 = 4 + 0.65 = 4.65
4.64
Therefore, from lowest to highest, the numbers would follow the following order:
1) 4.606, 2) 4.64, 3) 4 + 13/20, 4) 47/10.
Find the value of x by using the exterior angle theorem
Answer:
The Answer is B
Step-by-step explanation:
Complete the graph
Red Paint 4, 8, 12, 16
Blue Paint 6, _, _, _
Please help
Answer:
Step-by-step explanation:
10,14,18
Trenton's laptop ls 27 centimeters wide. What is the width of the laptop in decimeters? Round your answer to the nearest hundredth.
Answer:
2.70 decimeters
Step-by-step explanation:
1 cm = 0.1 decimeter
27 * 0.1 = 2.7
Describe fully the single transformation that maps triangle A onto shape B
Answer:
Reflection over y=x
Step-by-step explanation:
please hellllp!Thank you so much.
(see the picture)
Answer:
147.33
Step-by-step explanation:
mupitply 26*17 and then dived my 3
Simplify each expression (I don't know this) please help me out
Answer: solve the same variables
Step-by-step explanation:
1. 3y + 4.1
2. 4x +
3. 5x + 22½
4. 4y²
5. + 25
6. 0