6⁷
_ convert the following expression into a single power.
2⁷

A term that describes a numerical value measuring the likelihood of an uncertain event is - a probability.

A probability is a numerical value that measures the likelihood of an uncertain event occurring.

It ranges from 0 (impossible event) to 1 (certain event), with values in between representing the varying degrees of likelihood.

To calculate the probability of an event, you can divide the number of favorable outcomes by the total number of possible outcomes in a given scenario.

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Answer:

± x = i sqrt(17) or x = -i sqrt(17)

Step-by-step explanation:

Solve for x:

3 x^2 + 14 = -37

Subtract 14 from both sides:

3 x^2 = -51

Divide both sides by 3:

x^2 = -17

Take the square root of both sides:

Answer: x = i sqrt(17) or x = -i sqrt(17)

Answer:

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

Step-by-step explanation:

Let's first state the null and alternative hypotheses for this research;

H0: p = 0.30

Ha: p ≠ 0.30

Now, since the bull hypothesis is the claim and he fails to reject the null hypothesis from the research, we will conclude that;

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

Answer:c

Step-by-step explanation:

Answer: C) 5 years

Step-by-step explanation:

Formula for the simple interest is: I = P * r * t, where: I = $500, P = $2,500, r = 0.04 and t stays for the number of the years. 500 = 2,500 * 0.04 * t; 500 = 100 * t; t = 500 : 100; t = 5.

The answer of the given question based on the Cauchy-Euler equation is ,  the solution to the initial value problem is given by \(y(t) = -\frac{5}{2}t^3 + \frac{9}{2}t^5\)

We need to find the solution for the initial value problem below for the Cauchy-Euler equation:

t²y''(t)- 7ty' (t) + 15y(t) = 0;y(1)=2, y'(1)=0

First we need to solve the auxiliary equation which is given by substituting the form y = \(t^m\) into the differential equation.

This gives the characteristic equation as:

t²m(m-1)-7tm+15 = 0

which is simplified to:

t²m²-7tm+15=0

We can factor this equation to obtain the roots (solutions) of the auxiliary equation as follows:

(t-m_1)(t-m_2) = 0

t²- (m_1+m_2)t + m_1m_2 = 0

We know that the auxiliary equation is given by r² - (m_1+m_2)r + m_1m_2 = 0 and the roots of this equation are given by:

r_1 = m_1 \ \text{and} \ r_2 = m_2

Therefore, we get

r² - (m_1+m_2)r + m_1m_2 = 0

= r² - 7r + 15 = 0

By factoring we get,

(r-5)(r-3) = 0

Thus, the roots are r_1=3, r_2=5.

Then the general solution is given by

y(t) = c_1t³+c_2t⁵

where c_1 and c_2 are constants.

To determine the values of c_1 and c_2 we need to use the initial conditions which are given by y(1)=2 and y'(1)=0.

Substituting into the equation we get,

y(1) = c_1 + c_2 = 2

Differentiating the equation we obtain,

y'(t) = 3c_1t²+5c_2t⁴

Substituting t=1 we get,

y'(1) = 3c_1 + 5c_2 = 0

Therefore, solving the above system of equations gives,

c_1 = \(-\frac{5}{2}, \ c_2 = \frac{9}{2}\)

Therefore, the solution to the initial value problem is given by

\(y(t) = -\frac{5}{2}t^3 + \frac{9}{2}t^5\)

The solution is y(t) = -5/2t³ + 9/2t⁵.

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The given two equations c₁ = 5/2 and c₂ = -1/2. The solution is:

y(t) = (5/2)t³ - (1/2)t⁵. The required solution is (5/2)t³ - (1/2)t⁵.

Given differential equation is t²y''(t) - 7ty'(t) + 15y(t) = 0;

y(1) = 2, y'(1) = 0  

To solve this differential equation,

let's assume the solution in the form y = t^r

Here, y''(t) = r(r - 1)t^(r - 2)y'(t) = rt^(r - 1)y(t) = t^r

On substituting these values in the differential equation,

we get:

r(r - 1)t^(r - 2) - 7rt^(r - 1) + 15t^r = 0r(r - 1) - 7r + 15

= 0r² - 8r + 15 = 0

On solving the quadratic equation, we get:r = 3 or r = 5

Hence, the solution is y(t) = c₁t³ + c₂t⁵

To evaluate the constant values, we are given the initial values:

y(1) = 2

=> c₁ + c₂ = 2y'(1) = 0

=> 3c₁ + 5c₂ = 0

Solving the above two equations, we get c₁ = 5/2 and c₂ = -1/2

Hence, the solution is: y(t) = (5/2)t³ - (1/2)t⁵

Thus, the required solution is (5/2)t³ - (1/2)t⁵.

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The length of arc EG is approximately 7.35 units.

To find the length of arc EG, we need to use the formula:

length of arc = (central angle/360°) × 2πr

where r is the radius of the circle and the central angle is in degrees.

We are given that m∠EFG = 58°, and EF = 6 units. Since EF is a chord of the circle, we can use the chord-chord angle theorem to find that m∠EGF = ½(180° - 58°) = 61°.

Now, we can use the Law of Cosines to find the length of GE:

GE² = EF² + FG² - 2(EF)(FG)cos(∠EGF)

GE² = 6² + FG² - 2(6)(FG)cos(61°)

Since FG = 2r (because it is the diameter of the circle),

GE² = 36 + (2r)² - 12r cos(61°)

We can simplify this to:

GE² = 4r² - 12r cos(61°) + 36

GE² = 4(r² - 3r cos(61°) + 9)

Now, we can use the formula for the length of the arc:

length of arc EG = (m∠EGF/360°) × 2πr

length of arc EG = (61/360) × 2πr

length of arc EG = (61/180) × πr

Substituting the expression for GE² in terms of r, we get:

length of arc EG = (61/180) × π √[4(r² - 3r cos(61°) + 9)]

We can now use a calculator to find the approximate value of the length of arc EG.

Rounded to the nearest hundredth, the length of arc EG is approximately 7.35 units.

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Answer

t=19

Step-by-step explanation:

12+7= 19

19 -7 =12

U 2 can help me by marking as brainliest........

Answer:

T is 19

Step-by-step explanation:

You have to take away 7 to get 12. And to check it you do 12 take away 7, add 7 to 12 and you get 19.

So 19-7=12

Answer:

24

Step-by-step explanation:

36 Divided by three times 2 = 24 since fractions are division problems

Answer:

24 pots have daisies in them.

Step-by-step explanation:

36÷3= 12 and 12×2=24

Answer:

h

Step-by-step explanation:

Step-by-step explanation:

the median is the value, where half of the other values is lower and the other half is higher.

so, when sorting these 7 numbers we get

10, 11, 12, 13, 14, 15, 16

and the median is 13.

as 10, 11, 12 are lower.

and 14, 15, 16 are higher.

Answer:

81000000

\(\frac{90}{100} *90000000\\ 90*900000\\ 9*9=81\\ then write all the zeros\)

Answer:

Option A is the correct choice.

Step-by-step explanation:  

We have been given the system of linear equations written by Draco. We are asked to find Draco's error.

Let us form a system of equations using our given information.

Let m represent the price of one muffin and b represent the cost of one bagel.

We are told that in one hour a bakery sold five muffins and nine bagels for a total of $25.50. We can represent this information in an equation as:

The next hour the bakery sold three muffins and 12 bagels for a total of $28.50. We can represent this information in an equation as:

Now let us see system of equations written by Draco.

We can see that Draco has set the price of 5 muffins and 9 bagels equal to $28.50, which is the price of 3 muffins and 12 bagels.

Therefore, Draco should have set the first equation equal to 25.50 and the second equation equal to 28.50. The correct choice is option A.

Answer:

(A)Draco should have set the first equation equal to 25.50 and the second equation equal to 28.50.

Step-by-step explanation:

I did it on edge good luck

Answer:

x intercept= -1

y intercept= 2

Ahhh, the graph! Such an interesting thing. I think I can help you...

The answer is B - (3, -4).

My explanation is this.

In an ordered pair (like the one I just mentioned), the x value and the y value are represented like so: (x, y.)

If you start from the middle of the graph, where the points intersect, if you count three lines over on the horizontal line, that's your x value. 3.

But for the y, since we're counting down on the vertical line, not up, we'll have a -4 instead of a positive.

Therefore the answer (3, -4)

I hope this answers your question.

-Toremi

The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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Answer:

$50 = 5 days

$40 = 4 days

$30 = 3 days

$20 = 2 days

$10 = 1 day

Step-by-step explanation:

hope this helps = )

100 times 7= 700 any number times 100 you would add two zeros, 700+23=723

Hope this helps :]

Answer:

Choose answers B and D

Step-by-step explanation:

Answer:

Choose answers B and D.

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

The "zeros" of the quadratic equation simply refers to what x equals when q(x) = 0.

Set the equation equal to zero as so: 0 = x^2 - 9, and solve!

9 = x^2

+/- 3 = x, when q(x) = 0.

This means that the two points you are trying to find are (-3, 0) and (3, 0)!

for a binomial random variable x, it can only takes on two possible values, 0 or 1 is True

A binomial random variable is a discrete random variable, which means that it can only take on certain values, in this case 0 or 1. This means that the answer to the question is true. A binomial random variable is the sum of two independent Bernoulli random variables, where each Bernoulli random variable has a probability of success equal to the probability of success for the binomial random variable. This means that the binomial random variable is a summation of two Bernoulli random variables, and can only take on values of 0 or 1.

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The sum of numbers at B, C, D, E and F is 110.5

Since B, C, D, E, and F divide the segment AG into 6 equal pieces, each piece has a length of (59-13)/6 = 6.5.

Therefore, the numbers at B, C, D, E, and F are located at 13 + 6.5, 13 + 6.52, 13 + 6.53, 13 + 6.54, and 13 + 6.55 respectively.

The sum of the numbers at B, C, D, E and F is (13 + 6.5) + (13 + 6.52) + (13 + 6.53) + (13 + 6.54) + (13 + 6.55)

= 13 + 6.5*(1+2+3+4+5) = 13 + 6.5*15 = 13 + 97.5

= 110.5

In Maths, number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.

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There are 12,565,671,261 ways to assign scores to the problems in discrete mathematics exam.

In this case, we must employ the combination as well as repetition formula.

C(n + r-1, r) = (n + r -1)!/ r! (n - 1) !

n = 10 is provided (The number of questions)

Every question is worth a minimum of 5 points.

For 10 question = 10×5 = 50 points.

The total are 100 (sum of the scores)

r = 100 - 50

r = 50

Applying the formula.

C(10 + 50 - 1 , 50) = (10 + 50 - 1)!/ 501 (10 - 1)!

C(59, 50) = 59!/50!9!

We get by clarifying the above factorial.

C(59, 50) = 12,565,671,261

Thus, there are 12,565,671,261 ways to assign scores to the problems in discrete mathematics exam.

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Answer:

Step-by-step explanation:

The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.

Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.

Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.

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Answer:

Step-by-step explanation:

Answer:

x = - 12

Step-by-step explanation:

9 - 0.5x = 15

* isolate the variable using inverse operations *

step 1 subtract 9 from each side

9 - 9 cancels out

15 - 9 = 6

now we have -0.5x = 6

step 2 divide each side by -0.5

-0.5x / -0.5 = x

6 / -0.5 = - 12

we're left with x = - 12

9514 1404 393

Answer:

  2.41×10^14 miles

Step-by-step explanation:

The distance usually associated with a light-year is about 6 trillion miles. More precisely, it is about 5.879×10^12 miles. Then 41 light-years is 41 times that distance, or ...

  41 light-years = 41(5.879×10^12 miles) ≈ 2.41×10^14 miles

_____

You can figure the length of a light-year from the speed of light and the length of a year. The speed of light is about 186,282.4 miles per second. The number of seconds in a day is 86,400, and the number of days in a year averages 365.2425. Multiplying these values gets you to 5.878664e12 miles per year. The number used above is reasonable for most purposes. At astronomical distances, it is difficult to measure precisely.

Where f(x) is the probability density function of X. In both cases, the expected value represents the average outcome or value that can be expected over many trials or observations.

The formula for the expected value or mean probability is a long answer that depends on the specific situation or probability distribution being analyzed.

In general, the expected value is calculated by multiplying each possible outcome by its corresponding probability and then summing these products together.

For discrete probability distributions, this formula can be written as:
E(X) = Σ(x * P(X=x))

Where X is the random variable, x is a possible outcome, and P(X=x) is the probability of X taking on the value x.

For continuous probability distributions, the formula is similar, but involves integration instead of summation:
E(X) = ∫(x * f(x)) dx

Where f(x) is the probability density function of X. In both cases, the expected value represents the average outcome or value that can be expected over many trials or observations.

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Answer:

23

Step-by-step explanation:

Answer:

When you get your blood pressure numbers, there are two of them. The first, or “top” one, is your systolic blood pressure. The second, or “bottom,” one is diastolic blood pressure.

Step-by-step explanation: