A local little league has a total of 85 players, of whom 80% are right-handed. How many right-handed players are there? There are right-handed players.

(Type a whole number.)

Helppp. ​

Statistics prove that motorcyclists are B: 35 times as likely as a passenger car occupant to die in a motor vehicle accident.

Compared to the occupants of motor vehicles, motorcycles provide their riders with very little protection from injury. Motorcycles have virtually no ability to absorb the impact from another vehicle; there is the potential for serious injuries or even death for any rider as a result of a motorcycle crash or accident.

Unfortunately, according to statistics motorcycle deaths accounted for 14% of all motor vehicle crash deaths. A motorcyclist is about 35 times more likely to die in an accident compared to passengers in cars.

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Answer:

x=4

y=1.8

Step-by-step explanation:

x 4

15×4+18=78

11×4+34=78

90-78=12

12-3=9

9÷5=1.8

Answer:

The sample space of an experiment is the set of all possible outcomes of that experiment.

Answer:

Y, P, R, B (or something like that)

Step-by-step explanation:

just read what the other answer said

Answer:

35 degrees

Step-by-step explanation:

Sorry for the late response!

The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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The 140 towns are named pleasant hill are there in the united states.

What is towns?

Towns and semi-dense areas having a population of at least 5,000 people and grid cells with at least 300 people per km2 density; and. Most rural areas are made up of low-density grid cells.

As given, Midway is the name of 252 towns in the united states pleasant hill occurs 5/9 times.

So,

\(252(\frac{5}{9} ) = 28(5) = 140\)

Therefore, 140 towns are named pleasant hill are there in the united states.

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Answer:

128

Step-by-step explanation:

Answer:

128 correct me if Im wrong

Step-by-step explanation:

To write it out you would write 2 x 2 x 2 x 2 x 2 x 2 x 2=  and that equals 128

The population at time t is given by p(t), then for some constant k we have dp dt is p(t) = ±\(Ce^{(kt)\)

We are given that the population of a town grows at a rate proportional to the population at time t. In other words, if the population at time t is given by p(t), then for some constant k we have:

dp/dt = k * p(t)

This is a first-order ordinary differential equation, where p(t) is the unknown function we want to find and k is a constant of proportionality. The derivative dp/dt represents the rate of change of the population with respect to time.

This differential equation is separable, meaning that we can separate the variables p and t on either side of the equation and then integrate both sides to find the general solution. To do this, we can write:

dp/p = k * dt

We can then integrate both sides:

∫ dp/p = ∫ k dt

ln|p| = kt + C

where C is an arbitrary constant of integration. Exponentiating both sides, we get:

|p| = \(e^{(kt+C)} = e^{(kt) }* e^C\)

Since e^C is just another constant, we can write:

p(t) = ± C\(e^{(kt)\)

where C is an arbitrary constant of integration that can be positive or negative. This is the general solution to the differential equation dp/dt = k * p(t).

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Answer:

 a) cannot tell

  b) congruent

  c) not congruent

Step-by-step explanation:

You want to know if the triangles in the given figures are congruent.

In order to prove congruence, we must have information to establish one of SSS, SAS, ASA, AAS congruence.

Congruence only of corresponding angles demonstrates the triangles are similar, which means they may or may not be congruent.

These triangles have congruent corresponding angles, so are similar. It is impossible to tell if they are congruent.

These triangles meet the conditions for demonstrating AAS congruence. The triangles are congruent.

Looking at the figure from an AAS or ASA or SAS point of view, the corresponding sides are not congruent, but the corresponding angles are. These triangles are similar, but are not congruent.

__

Additional comment

In the triangles of (c), for the given long side, the short side shown will be 25.73 in the larger triangle and 16.73 in the smaller one. That is, the angles indicate the triangles should be similar, but the given side ratios are not proportional.

<95141404393>

Answer:

\(90 {ft}^{2} \)

is the area of this fig

As we have proved that if p is an odd prime, then the product 1² · 3² · ... · (p-2)² is congruent to -1 modulo p.

To prove the statement, let's consider the product P = 1² · 3² · ... · (p-2)². Our goal is to show that P ≡ -1 (mod p), which means P leaves a remainder of -1 when divided by p.

First, we note that p is an odd prime. This means that p can be expressed as p = 2k + 1, where k is an integer. We can rewrite P using this representation:

P = (1 · 1) · (3 · 3) · ... · ((2k - 1) · (2k - 1)).

Now, let's examine P more closely. We can write each factor in P as:

(2i - 1) · (2k - (2i - 1)).

Expanding this expression, we get:

(2i - 1) · (2k - 2i + 1) = 4ik - 2i + 2ki - k - 2i + 1 = 4ik - 4i + 2ki - k + 1.

We can simplify this further as:

(4ik - 4i + 2ki - k + 1) = (4ik - 4i) + (2ki - k + 1) = 4i(k - 1) + k(2i - 1) + 1.

Now, let's consider the expression (2i - 1) modulo p. Since p = 2k + 1, we can rewrite (2i - 1) as:

(2i - 1) ≡ 2i - 1 (mod p).

Substituting this back into our expression for P, we have:

P ≡ (4i(k - 1) + k(2i - 1) + 1) (mod p).

Now, let's consider the sum (4i(k - 1) + k(2i - 1)) modulo p. We can write this as:

(4i(k - 1) + k(2i - 1)) ≡ 4ik - 4i + 2ki - k ≡ -3i + k(i - 1) (mod p).

Since p = 2k + 1, we have -3i + k(i - 1) ≡ -3i + (p - 1)(i - 1) (mod p).

Expanding (p - 1)(i - 1), we get:

-3i + (p - 1)(i - 1) = -3i + pi - p - i + 1 = -4i - p + pi + 1.

Now, let's consider the expression (-4i - p + pi + 1) modulo p. We can rewrite this as:

(-4i - p + pi + 1) ≡ -4i - p (mod p).

Since -p ≡ 0 (mod p), we have -4i - p ≡ -4i (mod p).

Therefore, we have shown that:

P ≡ -4i (mod p).

Now, let's consider the range of i. We know that i takes on values from 1 to (p - 2)/2, inclusive. Since p is an odd prime, (p - 2)/2 is an integer. Therefore, we can rewrite P as:

P ≡ -4(1 + 2 + 3 + ... + [(p - 2)/2]) (mod p).

The sum 1 + 2 + 3 + ... + n can be expressed as n(n + 1)/2. Substituting this into our expression for P, we get:

P ≡ -2[(p - 2)/2] [(p - 2)/2 + 1] (mod p).

Simplifying further, we have:

P ≡ -[(p - 2)/2] [(p - 2)/2 + 1] (mod p).

Since p is an odd prime, we can rewrite p - 2 as 2k - 1. Substituting this into our expression, we get:

P ≡ -[k] [k + 1] (mod p).

Now, let's expand the product [k] [k + 1]:

[k] [k + 1] = k² + k.

Substituting this back into our expression for P, we have:

P ≡ -(k² + k) (mod p).

Now, recall that p = 2k + 1. Substituting this into our expression, we get:

P ≡ -(k² + k) ≡ -(k² + k + 1) + 1 ≡ -(k² + 2k + 1) + 1 ≡ -[(k + 1)²] + 1 (mod p).

Since p = 2k + 1, we have (k + 1)² ≡ -1 (mod p). Substituting this back into our expression, we finally have:

P ≡ -[(k + 1)²] + 1 ≡ -1 + 1 ≡ 0 ≡ -1 (mod p).

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The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:

To solve for the length of the curve of y = In(sec(x)), we use the formula,

`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.

We know that:`f′(x) = d/dx[In(sec(x))]`

Using the formula of logarithm differentiation, we can write the above equation as:

`f′(x) = d/dx[In(1/cos(x))]`

So,`f′(x) = -d/dx[In(cos(x))]`

Therefore,`f′(x) = -sin(x)/cos(x)`

Substituting the values, we get:

`L = ∫[a,b] √[1+(f′(x))^2] dx`

`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`

`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`

`L = ∫[0,π/4] sec(x) dx`

Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.

We calculate the constant by substituting the values of `a = 0` and `b = π/4`:

`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`

`L = ln(√2 + 1) - ln(1 + 0)`

`L = ln(√2 + 1)`

Thus, the exact length of the curve is `ln(√2 + 1)` units.

Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.

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Answer:

14%

Step-by-step explanation:

To find the percentage change of any two amounts you just need this formula: (new - old) ÷ old

New price = $2.45

Old price = $2.15

2.45 = 2.15 = 0.3

0.3 ÷ 2.15 = 0.139534883721

This would make the percentage increase = %13.9534883721

But the question wants it rounded to the near tenth, so it's %14

Answer:

13.9535% increase, so yeah, like, 14%

Step-by-step explanation:

Answer:

f(1) = 257

Step-by-step explanation:

x-variable: 1 (time is the independent variable)

y-variable: 257 (number of visitors is the dependent variable)

When the time is at 1 (1pm), there are 257 visitors

9514 1404 393

Answer:

  a) turning point: (-2, -1)

  b) roots: (-3, 0), (-1, 0)

Step-by-step explanation:

The turning point is correctly identified as the vertex in the problem picture.

__

The roots are the x-intercept points: (-3, 0) and (-1, 0).

a) The first five members of the sequence is

a1 = a0 + 2
a2 = a1 + 2 = a0 + 4
a3 = a2 + 2 = a0 + 6
a4 = a3 + 2 = a0 + 8
a5 = a4 + 2 = a0 + 10

b) The explicit formula for this sequence is:
an = 2n + a0, for n ≥ 0

A recursive sequence is a sequence where each term is defined in terms of the previous term(s). In this case, we have a sequence that is defined recursively.

Let's assume that the first term of the sequence is a0 and that the recursive formula for the sequence is given by:
an+1 = an + 2, for n ≥ 0

To find the first few terms of the sequence, we can apply the recursive formula repeatedly. Starting with a0, we get:
a1 = a0 + 2
a2 = a1 + 2 = a0 + 4
a3 = a2 + 2 = a0 + 6
a4 = a3 + 2 = a0 + 8
a5 = a4 + 2 = a0 + 10

From this, we can see that the sequence is simply the sequence of even numbers, starting with a0. So, the explicit formula for this sequence is:
an = 2n + a0, for n ≥ 0

To verify this formula using mathematical induction, we need to show that it holds for the base case (n = 0) and for the induction step (n+1).

For the base case, we have:
a0 = 2(0) + a0
a0 = a0

For the induction step, we assume that the formula holds for n and show that it also holds for n+1.

Assume that:
an = 2n + a0

Then, we have:
an+1 = an + 2    (by the recursive formula)
an+1 = 2n + a0 + 2   (substituting in the formula for an)
an+1 = 2(n+1) + a0   (simplifying)

Therefore, the formula holds for all n ≥ 0.

In conclusion, we have found the first 5 members of the sequence by applying the recursive formula, and we have found the explicit formula for the sequence by identifying a pattern in the first few terms. We have also used mathematical induction to verify the correctness of the formula.

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Answer:

The compounded annually account will earn more interest over 10 years

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

The rule of the compounded interest is A = P\((1+\frac{r}{n})^{nt}\), where

The interest I = A - P

∵ Each account start with $200

∴ P = 200

∵ They have an interest rate of 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ One account earns simple interest and the other is compounded  

   annually

∴ n = 1 ⇒ compounded annually

∵ The time is 10 years

∴ t = 10

→ Substitute these values in the two rules above

∵ I = 200(0.05)(10)

∴ I = 100

∴ The simple interest = $100

∵ I = A - P

∵ A = 200\((1+\frac{0.05}{1})^{1(10)}\)

∴ A = 325.7789254

∵ I = 325.7789254 - 200

∴ I = 125.7789254

∴ The compounded interest = $125.7789254

∵ The simple interest is $100

∵ The compounded interest is $125.7789254

∵ $125.7789254 > $100

∴ The compounded annually account will earn more interest

   over 10 years

The statement "a = {1,2} and b = {3,4}" is true.

In this scenario, the sample space S represents all possible outcomes when rolling a fair die, and it consists of the numbers {1, 2, 3, 4, 5, 6}.

The event a represents the outcomes {1, 2}, which are the possible results when rolling the die and getting a 1 or a 2.

The event b represents the outcomes {3, 4}, which are the possible results when rolling the die and getting a 3 or a 4.

Therefore, the statement "a = {1,2} and b = {3,4}" accurately describes the events a and b.

The statement that is true in this scenario is that the sets A and B are disjoint. A set is considered disjoint when it has no elements in common with another set.

In this case, A = {1, 2} and B = {3, 4} have no elements in common, meaning they are disjoint sets. This is because the numbers 1 and 2 are not present in set B, and the numbers 3 and 4 are not present in set A.

Therefore, A and B do not share any common elements, making them disjoint sets.

(c) A and B are mutually exclusive events.

In this case, the sets A and B are mutually exclusive because they have no elements in common.

A represents the outcomes of rolling a fair die and getting either 1 or 2, while B represents the outcomes of rolling a fair die and getting either 3 or 4.

Since there are no common elements between A and B, they are mutually exclusive events. If an outcome belongs to A, it cannot belong to B, and vice versa.

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MEAN: =29.42

THE MEDIAN:

\((29 + 36) \times \frac{1}{2} = 32.5\)

that's my answer hope it helps

Answer:

46878954575

Step-by-step explanation:

Given:

The expression is:

\(8(39+11)\)

To find:

The simplified form of the given expression by using the Distributive Property.

Solution:

Distributive property of multiplication over addition:

\(a(b+c)=ab+ac\)

We have,

\(8(39+11)\)

Using Distributive property of multiplication over addition, we get

\(8(39+11)=(8\times 39)+(8\times 11)\)

\(8(39+11)=312+88\)

\(8(39+11)=400\)

Therefore, the correct option is D.

Answer:

really what is the answer

Step-by-step explanation:

Answer:

y=x+2

Step-by-step explanation:

i cant see clearly if line is on the x axis or not, so im going to guess that it starts on a 2, cause its really close to 2.

hope this helps.

Answer:

7

Step-by-step explanation:

Because the parts of the circle are congruent, the segments are as well, we can use that to make an equation then solve it like normal

9x-34=4x+1

-1 on both sides

9x-35=4x

-9x on both sides

-35=-5x

x=7

Answer: 12.5% increase

Answer:

Im pretty sure its 5

Step-by-step explanation:

5:1 due to 20/4 would be 5. I can give you more of an explaination if needed.

Answer:

5 triangles to 4 circles.

equation of the circle with given data is,

Hence, option 3 is correct.

Answer:

a=-3, b=5

Step-by-step explanation:

Given that:

10-√18/√2=a+b√2

We need to find values of a and b.

All we have to do is solve 10-√18/√2

The first step is to simplify √18

√18=√9×2=3√2

The second step is to rationalize the whole fraction, by removing an irrational number as the denominator

10-√18/√2 = 10-3√2/√2 × √2/√2

Distribute √2:

10√2-3×√2²/√2²

10√2-6/2

Factor out 2 from the expression:

2(5√2-3)/2

Cancel out the 2, and the final answer is:

5√2-3

Thus, a=-3 and b=5

Hope this helps!