The probability that the Islanders will win exactly three out of five games in a series against the Rangers is mathematically given as
P(x=3)=0.26367
What is the probability that the Islanders will win exactly three out of five games in a series against the Rangers?Generally, the equation for the probability is mathematically given as
P(x=3)=nC3 (P)^r (q)^{n-r}
Therefore
P(x=3)=5C3 (0.75)^3 (0.25)^{5-3}
P(x=3)=10 (0.75)^3 (0.25)^{5-3}
P(x=3)=0.26367
In conclusion, The probability of the islander
P(x=3)=0.26367
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round 7.430499778 to the nearest millionth
Devaughn is 7 years older than Sydney. The sum of their ages is 103. What is Sydney's age?
103-7 = 96 then 96/2 = 48 so we can say that Sydney is 48 and devaughn is 48+7 = 55 years old.
Therefore, Sydney is 48 years of age.
Which correctly ranks, from fastest to slowest, the time it will take one wavelength to pass a certain point? wave x → wave y → wave w → wave z wave z → wave w → wave y → wave x wave x → wave w → wave y → wave z wave z → wave y → wave w → wave x
The question refers to the speed of sound waves. The expression that shows the waves from the fastest to the slowest is option A. See attached for full question
What are sound waves?A sound wave is the rhythm of disruption induced by the flow of energy as it propagates away from the source of the sound across a medium.
Why is option A the correct answer?Option A - is the correct answer because the temperature of a medium ( which may be air, water, or solid matter) affects the speed at which waves of sound travel through it.
The faster sound waves flow through a medium, the higher its temperature. This is why Wave X will pass through the fastest at 33°C, followed by Wave W at 15°C, etc.
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Answer:
C. Wave X --> Wave W --> Wave Y --> Wave Z
X+6
Given f(x) =
x2 - 9x +18
which of the following is true?
This shows that the function will be decreasing at the point where x < -6 or increasing at the point here x > 6
Increasing and decreasing functionGiven the rational function expressed as:
f(x) = x+6/x^2-9x+18
To determine the point where the function is decreasing, we will equate the numerator to zero to solve for the value of x
x + 6 = 0
x = -6
This shows that the function will be decreasing at the point where x < -6 or increasing at the point here x > 6
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Pls…!!!!!help…!!!I don’t get this…
The circle illustrates the theorems of angles in the same segment
The measure of angle NTS is 53°The measure of arc AB is 200°How to determine the measure of NTS?Given that:
∠SKA = 74°
The angle SKA is at the center of the circle.
This means that:
Arc AS = 74°
Calculate Arc SN using:
SN + AS = 180°
Substitute 74 for AS
SN + 74° = 180°
Subtract 74 from both sides
SN = 106°
The arc SN is subtended by the angle NTS.
This means that:
∠NTS = 0.5 * SN
So, we have:
∠NTS = 0.5 * 106°
Evaluate
∠NTS = 53°
Hence, the measure of angle NTS is 53°
How to determine the measure of arc AB?Given that:
∠BCA = (7w - 4)°
∠ADB = (5w + 20)°
Angles subtended by the same arc at the circumference are congruent.
So, we have:
7w - 4 = 5w + 20
Collect like terms
7w - 5w = 20 + 4
Evaluate
2w = 24
Divide by 2
w = 12
This implies that:
∠BCA = (7 * 12 - 4)°
Evaluate
∠BCA = 80°
The measure of arc AB is then calculated using:
AB = 360 - 2 * ∠BCA
This gives
AB = 360 - 2 * 80°
Evaluate
AB = 200°
Hence, the measure of arc AB is 200°
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The graph of the function f(x)=x^2-6x shifted 2 units to the left on the graph of g(x). Select the two functions that represent the shift of f(x) onto g(x)
The standard trampoline has a diameter of 14 feet. What is its area?
Answer:
The area is 154 square feet
Step-by-step explanation:
Hakeem has a points card for a movie theater. he receives 45 rewards points just for signing up. he earns 11. 5 points for each visit to the movie theater. he needs 206 points for a free movie ticket. how many visits must hakeem make to earn a free movie ticket?
Answer:
14visists
Step-by-step explanation:
206 points= 45points + 11.5points(number of visits)
let number of visits=x
206points-45points=11.5x
161=11.5x
x=161/11.5
x=14 visits
What is the Pythagorean
Theorem and what’s it used for?
The Pythagorean Theorem is used to solve for the hypotenuse of a right triangle.
The formula for solving it is [tex]a^2 + b^2 = c^2[/tex], as a represents one side of the triangle, and b represents the other side. C is the hypotenuse as which we are trying to solve for.
The expected adult weight of a golden retriever puppy is 1.5w, where w is the puppy's weight at 6 months of age. Britney's 6-month-old golden retriever puppy weighs 40 pounds. What is the expected adult weight of Britney's puppy?
Answer:
60
Step-by-step explanation:
bceuase i got it right just multiply
A fruit company delivers its fruit in two types of boxes: large and small. Delivery of 8 large boxes and 4 small boxes has a total weight of 173 kilograms. Delivery of 3 large boxes and 2 small boxes has a total weight of 68 kilograms. How much does each type of box weigh?
Weight of each large Box: ?
Weight of each Small Box: ?
Answer:
x = 18.5 (large) , y = 6.25 (small)
Step-by-step explanation:
Let's start by assigning variables to each type of box.
The large box we will call "x"
The small box we will call "y"
We know that 8x + 4y = 173 (kilograms)
And 3x + 2y = 68 (kilograms)
Since we set up a system of equations, we can now use elimination, by multiplying the entire bottom equation by -2, to get rid of the "y" variable.
8x + 4y = 173
3x(-2) + 2y(-2) = 68(-2)
-6x + -4y = -136 (side note: notice how the "y"'s would cancel each other out because -4y + 4y equals 0)
Add equations together:
2x = 37
x= 18.5
Now that we have x, just substitute it into any of the equations to get y.
You will see that y = 6.25
Please mark this brainliest, and I hope this helps!
9. The value of U.S. postage stamps increases ~5% per year. The current price is 55C. Estimate what the price will be in 20 years
Answer:
$1.46
Step-by-step explanation:
We can use the principal of compound interest to solve this with the formula:
[tex]A = P(1+\frac{r}{n})^{nt}[/tex]
where P = initial principal
r = interest rate
n = number of times applied per time period
t = time periods elapsed
In this specific case, P = 0.55, r = 0.05, n = 1, and t =20
[tex]0.55(1+\frac{0.05}{1})^{1*20} = 0.55(1.05)^{20} = 0.55(2.65) = 1.46[/tex]
A principal records the lunch choices for 7th grade for a day. Of the 160 students, 21 brought their lunch from home, 103 purchased lunches, and 36 brought a lunch from home and purchased an ice cream.
Are the lunch choices equally as likely? Justify your answer by calculating the probability of each lunch choice
Researchers want to determine whether all frozen pizzas have the same proportion of toppings regardless of the brand of pizza. To test this, they sampled randomly pizzas of each brand and recorded their findings in the table.
Brand Topping
Pepperoni Sausage Onion Mushrooms
Digiorno 14 21 17 17
Tombstone 11 8 10 6
Red Baron® 17 13 14 11
Tony's 9 17 15 18
Part A: What are the correct degrees of freedom for this table? (2 points)
Part B: Calculate the expected count for the number of pepperoni for Red Baron® pizza. Show your work.
Part C: Is there sufficient evidence that there is a difference in the proportion of toppings for the different brands of pizza? Provide a statistical justification for your conclusion.
The degree of freedom is 9 and expected amount for the number of pepperoni for Red Baron is 12.867.
How to calculate the degree of freedom?The degree of freedom will be calculated thus:
= (Number of rows - 1) × (Number of columns - 1)
= (4 - 1)(4 - 1)
= 3 × 3 = 9
The expected amount for the number of pepperoni for Red Baron will be:
= (55 × 51) / 218
= 12.867
Also, the p value is 0.6023 and this indicates that there is no sufficient evidence that there is a difference in the proportion of toppings for the different brands of pizza since p value is greater than 0.05.
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Find the value of x.
х
30°
24
Answer:
Step-by-step explanation:
x is the opposite side of angle 30°
34 is the adjacent side of 30°
So, find the value of x, we have use tan
[tex]\bf \boxed{ tan \ \theta = \dfrac{opposite \ side}{adjacent \ side}}}[/tex]
[tex]tan \ 30^\circ = \dfrac{x}{24} \\\\\\0.58 = \dfrac{x}{24}\\\\\\0.58*24=x[/tex]
x = 13.92
On the number line below, the numbers a and b are the same distance from 0. What is a + b? Explain how you know.
If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a
Answer:
If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a.
I need this answered please I’m in a rush
Answer:
-8, -2, 4, 10
Step-by-step explanation:
Plug the x value into the function.
2(-6)+4 = -8
and so on for all of the values in the table.
Answer:
y = 2(-6) + 4
y = -12 + 4
y = -8
y = 2(-3) + 4
y = -9 + 4
y = -5
y = 2(0) + 4
y = 0 + 4
y = 4
y = 2(3) + 4
y = 6 + 4
y = 10
Have an amazing day!!
Please rate and mark brainliest!!
Ion get this bro someone help I got school in a hour
Answer:
of Example 6
5 and 14
Step-by-step explanation:
IN EXAMPLE 6
Opposite angles are equal so you equate the first one like this
3x + 20 = 10x - 15
15 + 20 = 7x
35/7 = x
x = 5
In next question b
It is a straight line thus it's 180°
so 4n + 22 +8n -10 = 180
12n + 12 = 180
12n = 180 - 12
n =168÷ 12
n = 14
Answer QUICK! FOR 25 POINTS. First, determine the range of the data without the outlier.
Then, determine the range of the data with the outlier.
Finally, make a conclusion about the effect of an outlier on range.
How Much Did It Rain Last Spring?
A number line labeled number of days each week ranges from 0 to 7 in increments of 1. It is titled how much did it rain last spring? Data are: 0, 1; 3, 3; 4, 3; 5, 3; 6, 2; 7, 1.
Number of Days Each Week
CLEAR CHECK
The range without the outlier is days.
The range with the outlier is days.
When we add an outlier, the range will never , but it may .
Answer:
12
Step-by-step explanation:
hope it helps
Answer:
Its 12
Step-by-step explanation:
4/8 + 8 7/8 (this is fractions)
Answer:
9 3/8 as a fraction or 9.375 as a decimal
Step-by-step explanation:
4/8 + 8 7/8 = 75/8= 9 3/8= 9.375
Jerry hiked along a path. From his starting position, he hiked downhill to a valley where the elevation dropped 25 meters below his starting position. Then, he hiked up to a hill that was 40 meters higher than the valley.
The following equation describes this situation.
-25 + 40 = 15
CHOOSE 1 ANSWER
1. Jerry hiked a total of 15 meters
2. the hill was 15 meters higher than the elevation of his starting point
3. None of the above
Answer:
15 represents where Jerry is after the elevation dropped 25 meters and then rose 40 meters.
Step-by-step explanation:
It's given that Jerry hiked downhill to a valley where the elevation dropped 25 meters below his starting position. Then, he hiked up to a hill that was 40 meters higher than the valley
Hiked downhill = 25 meters
Hiked up = 40 meters
The given equation is
Here, hiked downhill represented by negative sign and hiked up resents by positive sign.
So, 15 represents that Jerry hiked up 15 meters from his starting position.
(2, the hill was 15 meters higher than the elevation of his starting point)
Answer:
2.
Step-by-step explanation:
The hill was -25 + 40 = 15 meters highe than starting point.
completing the square k^2-2k-8=0
[tex]~~~~k^2-2k-8=0\\\\\implies k^2 - 2k +1^2-1-8=0\\ \\\implies ( k-1)^2-9=0\\\\\implies (k-1)^2-3^2 =0\\\\\implies (k-1-3)(k-1+3)=0\\\\\implies (k-4)(k+2)=0\\\\\implies k=4,~~ k= -2[/tex]
which decimal is equalient to 24 out 30 days
A student made two patterns to show multiplication of a decimal by powers of ten. The equations shown for both patterns are incorrect.
Pattern A
3.675. 10 = 3.6750
3.675. 100 = 3.67500
3.675 • 1,000 = 3.675000
Pattern B
3.675.0.1 = 3.0675
3.675.0.01 = 3.00675
3.675 . 0.001 = 3.000675
The correct solving of the decimal shows that 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.
How to solve the decimals?From the information given, it should be noted the students calculations are incorrect. Therefore, 3.675 ×10 = 3.6750, 3.675 × 100 = 3.67500 and 3.675 × 1,000 = 3.675000 are incorrect.
In this case, when multiply by raise to power 10, it's important to shift the decimal based on the number being raised to power.
Therefore, 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.
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The radius of a cylindrical water tank is 6.5ft, and its height is 17ft. What is the volume of the tank?
Use the value 3.14 for [tex]\pi[/tex], and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer
718.25 pi or 2,256.4489
Step-by-step explanation:
The volume formula for cylinders is V=pi * r^2 * h
So plug in your numbers!
r=6.5 h=17
pi times 6.5^2 times 17 = pi*718.25 or 2,256.4
can someone please help me with this question
The measure of an angle is 74.8°. What is the measure of its complementary angle?
Answer:
105.2°
Step-by-step explanation:
Supplementary means the angles add up to 180. 180-74.5=105.2
Answer:
The answer is 15.2
Step-by-step explanation:
This is literally the EASIEST subject in math so all you do is subtract 90 - 74.8 easy peasy! That's middle school math lol.
The equations in this sytem were added to solve for x. What is the value of x?
Negative 2 x + y = 8. 5 x minus y = negative 5. 3 x = 3.
x = negative 3
x = negative 1
x = 1
x = 3
The value of x would be 1.
Complete the net worth statement by determining the total assets and total liabilities.What is the net worth? A 178,000 B 180,338 C 1,052,662 D 1,233,000
The total liabilities is $180,338
The total assets is $1,233,000
The net worth is $1,052,662
What is the net worth, assets and liabilities?Net worth is total assets less liabilities. Assets is the sum of liquid assets and non liquid assets. Liabilities is the sum of car loan and mortgage loan.
Assets = 178,000 + 1,055,000 = $1,233,000
Liabilities = 145,908 + 34,430 = $180,338
Net worth = $1,233,000 - $180,338 = $1,052,662
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b + 1.5 = 6
solve the equation and find the value of the variable
Answer:
[tex]\boxed{\sf{b=4.5}}[/tex]Step-by-step explanation:
To find the value of variable, you have to isolate the term of b from one side of the equation.
b+1.5=6First, you subtract by 1.5 from both sides.
→ b+1.5-1.5=6-1.5
Solve.
Subtract the numbers from left to right.
⇒ 6-1.5=4.5
⇒ b=4.5
Therefore, the correct answer is b=4.5.I hope this helps you! Let me know if my answer is wrong or not.