Can someone plz help me with this one problem plzzzzz !!! (I’m marking brainliest)!!!!

If emergency calls to a small municipality in Idaho come in at the rate of one every minute. A. Then the expected number of calls in one hour is 60 calls per hour, B. The probability of three calls in five minutes is approximately 0.1404, and C. The probability of no calls in a five-minute period is approximately 0.0067.

      The data given in the question is Emergency calls to a small municipality in Idaho come in at the rate of one every minute. So according to that, we have to find out:

A) Expected number of calls in one hour If emergency calls to a small   municipality in Idaho come in at the rate of one every minute, then in an hour, the number of calls is given by;

          Number of calls in 1 hour = Rate × Time= 1 × 60= 60

   Therefore, the expected number of calls in one hour is 60 calls.

B) Probability of three calls in five minutes using the Poisson distribution formula, we have P (x=3) = λx e^(-λ)/x!

        Where λ is the mean number of occurrences, x is the number

        of occurrences (in this case, 3), and e is

        the mathematical constant.

        P(x=3) = (1×5)^3 e^-(1×5)/3!

                   = 125e^-5/6 ≈ 0.1404 (to 4 decimals)

   Therefore, the probability of three calls in five minutes is approximately 0.1404.

C) Probability of no calls in a five-minute period using the Poisson  distribution formula,

       We have P(x=0) = λx e^(-λ)/x! Where λ is the mean

       number of occurrences, x is the number of occurrences (in

       this case, 0), and e is the mathematical constant.

                P(x=0) = (1×5)^0 e^- (1×5)/0!

                           = e^-5 ≈ 0.0067....... (to 4 decimals)

   Therefore, the probability of no calls in a five-minute period is approximately 0.0067.

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Answer:

7/10

Step-by-step explanation:

These must be marbles, right?  There are 40 marbles all together (add all the numbers in the table).

P(Large or Blue) = P(Large) + P(Blue - P(Large and Blue)

= 25/40 + 20/40 - 17/40

= 28/40

=7/10

Note: P(Large) = 25/40 (the 25 comes from adding numbers in the "Large" column)

P(Blue) = 20/40 (the 20 comes from adding numbers in the "Blue" row)

P(Large and Blue) = 17/40 (that's the number in the Large column AND the Blue row)

The reason for the subtraction is this:  if you just add numbers in the Large column and the Blue row, you end up adding the 17 Large AND Blue marbles twice.  You want them to be counted only once.

After solving the given expression (3x+10)(2x²+1)(2-x)>0 the answer is

(- 6x⁴ - 3x³ + 37x² - 4x + 20) > 0.

So, (3x+10)(2x²+1)(2-x)>0:

Solve the expression as follows:

Therefore, after solving the given expression the answer is (- 6x⁴ - 3x³ + 37x² - 4x + 20) > 0.

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Answer: 8/3

Step-by-step explanation:

Answer:

m = 8/3

Step-by-step explanation:

Answer:

10:25 and 100:2500

Step-by-step explanation:

just multiply both number by the same number

Answer:

The last option

Step-by-step explanation:

The last option

Answer:

C

Step-by-step explanation:

Answer:

18.78 minutes is my opinion

Step-by-step explanation:

3 ml is filled in 1 minute

1 ml is filled in 1/3 minutes

20 ml is filled in 1/3*20 minutes

=6.22

75 ml is filled in 1/3*75 minutes

=25

25-6.22=18.78

The importance and advantage of using graph representation when organizing your data are that it makes data presentable, summarizing, better way of comparison of data.

An organized diagram or pictorial representation of the relationship between values or data is referred to as a graph. it is a a diagram that depicts a variable's variation in comparison to that of one or more other variables, such as a series of points, lines, line segments, curves, or areas.

The following are the three advantages of graphs:

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\( P(Z>-1.50) = 0.9332 \), which corresponds to  0.9332. For \( P(Z>-1.50) \), we  look up the corresponding probability in the standard normal distribution table. In the standard normal distribution, the mean is 0 and the standard deviation is 1.

Since we're looking for the probability that \( Z \) is greater than -1.50, we can use the properties of symmetry of the standard normal distribution. The area to the left of -1.50 is the same as the area to the right of 1.50, which can be found in the standard normal distribution table.

Looking up the value of 1.50 in the table, we find that the corresponding probability is 0.9332. This means that approximately 93.32% of the values in a standard normal distribution are greater than -1.50.

Therefore, \( P(Z>-1.50) = 0.9332 \), which corresponds to 0.9332.

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These are the computed values of beta and p-value for the given alternative value p = 0.21 and sample sizes.

To compute the beta (β) for the given alternative value p = 0.21 and sample sizes n = 81, 900, 14,400, 40,000, and 90,000, we need to determine the probability of Type II error. Beta is the probability of failing to reject the null hypothesis (H₀) when the alternative hypothesis (Hₐ) is true.

To calculate beta, we need to find the corresponding z-value for the given significance level α = 0.01, which corresponds to a z-value of 2.33 (approximate value).

Using the formula for the standard deviation of the sample proportion:

σ = sqrt((p₀ * (1 - p₀)) / n)

where p₀ is the null hypothesis value, p = 0.2, and n is the sample size.

Then we can calculate the z-score for the alternative value p = 0.21 using the formula:

z = (p - p₀) / σ

Finally, we can compute beta using the standard normal distribution table or a statistical calculator.

Let's calculate beta for the given sample sizes:

For n = 81:

σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447

z = (0.21 - 0.2) / 0.0447 ≈ 0.2494

beta = P(Z > 0.2494) ≈ 0.4013

For n = 900:

σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143

z = (0.21 - 0.2) / 0.0143 ≈ 0.7692

beta = P(Z > 0.7692) ≈ 0.2206

For n = 14,400:

σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071

z = (0.21 - 0.2) / 0.0071 ≈ 1.5493

beta = P(Z > 1.5493) ≈ 0.0606

For n = 40,000:

σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050

z = (0.21 - 0.2) / 0.0050 ≈ 2.2000

beta = P(Z > 2.2000) ≈ 0.0139

For n = 90,000:

σ = sqrt((0.2 * (1 - 0.2)) / 90,000) ≈ 0.0033

z = (0.21 - 0.2) / 0.0033 ≈ 3.0303

beta = P(Z > 3.0303) ≈ 0.0012

Next, let's calculate the p-value for the alternative value P = 0.21 and sample sizes n = 81, 900, 14,400, and 40,000.

The z-score for the given P can be calculated using the formula:

z = (P - p₀) / σ

Using the standard normal distribution table or a statistical calculator, we can find the area under the curve beyond the calculated z-score to obtain the p-value.

For n = 81:

σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447

z = (0.21 - 0.2) / 0.0447 ≈ 0.2494

p-value = P(Z > 0.2494) ≈ 0.4013

For n = 900:

σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143

z = (0.21 - 0.2) / 0.0143 ≈ 0.7692

p-value = P(Z > 0.7692) ≈ 0.2206

For n = 14,400:

σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071

z = (0.21 - 0.2) / 0.0071 ≈ 1.5493

p-value = P(Z > 1.5493) ≈ 0.0606

For n = 40,000:

σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050

z = (0.21 - 0.2) / 0.0050 ≈ 2.2000

p-value = P(Z > 2.2000) ≈ 0.0139

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Answer:

Arithmetic sequence

Step-by-step explanation:

Each term is the previous term +4 so it is an arithmetic sequence

Answer:

18.0 (use 18 if 18.0 is not an answer choice)

Step-by-step explanation:

15²+10²=225+100 = 325

√325 = 18.028 or 18.0 (use 18 if 18.0 is not an answer choice)

We can see that the first component of the vector equation is always zero, so the parabola lies in the xz-plane.

Moreover, the second component is a quadratic function of t, which gives us a vertical parabola when plotted in the yz-plane. The third component is a linear function of t, so the curve extends infinitely in both directions. Therefore, we have a vertical parabola in the xz-plane.

This statement is referring to a specific vector-valued function, which we can write as:

f(t) = (0, t^2, ct)

where c is a constant.

The second component of this vector function is t^2, which is a quadratic function of t. When we plot this function in the yz-plane (i.e., we plot y = t^2 and z = 0), we get a vertical parabola that opens upward. This is because as t increases, the value of t^2 increases more and more quickly, causing the curve to curve upward.

The third component of the vector function is ct, which is a linear function of t. When we plot this function in the xz-plane (i.e., we plot x = 0 and z = ct), we get a straight line that extends infinitely in both directions. This is because as t increases or decreases, the value of ct increases or decreases proportionally, causing the line to extend infinitely in both directions.

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The complete factor of the polynomial 36x² - 25 is (6x + 5)(6x − 5). Then the correct option is D.

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Factor completely 36x² - 25.

We know that

\(\rm a^2 - b^2 = (a+b)(a-b)\)

(6x)² − 5²

(6x + 5)(6x − 5)

The complete factor of the polynomial 36x² - 25 is (6x + 5)(6x − 5). Then the correct option is D.

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The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).

Harmonic motion is a motion that repeats itself after a certain period of time.

Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.

The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.

Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.

Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.

A simple harmonic motion is a projection of uniform circular motion in a straight line.

The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.

Let's now calculate the values of displacement, velocity, and acceleration.

Displacement, s = A sin (ωt)

Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)

So, s = 3 sin (8 x 1) = 2.68 m (approx)

Velocity, v = Aω cos(ωt)

Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)

Acceleration, a = -Aω2 sin(ωt)

Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)

Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

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Answer is F

A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0). because division by zero is an undefined operation.

Answer

4x6=24

24x1 ml=24ml

Answer:

 the answer to your question is 24 milliliters!

Step-by-step explanation:

good luck!

Answer:

9 sugar cookies

Step-by-step explanation:

Let the number of sugar cookies be x.

If the number of oatmeal cookies was six more than the number of sugar cookies, then oatmeal cookies can be represented by x + 6.

So, we know that Samuel ate half of the oatmeal cookies and 2/3 of the sugar cookies, for a total of 18 cookies. Let's represent this with an equation.

x + x + 6 = 18

2x + 6 = 18

2x = 12

x = 6

So x represents 6. Recall that he ate 2/3 of the sugar cookies, so 2 parts of sugar cookies is 6.

Therefore, we can do this:

(3/2) x 6 = 9 cookies

This is essentially saying, "I want to find 3 parts if 2 parts is 6 cookies."

He ate 9 sugar cookies.

If the linear correlation between an independent (x) and dependent (y) variable is:  f. none of the above.

The basis for basic (bivariate) regression is the linear correlation between an independent variable (x) and a dependent variable (y). The degree and direction of the relationship between the variables are measured by this.

Although a causal relationship between the variables may exist, the linear correlation does not prove it. Correlation merely assesses how much the variables differ collectively.

Therefore the correct option is F.

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Answer:

answer attached on the photo

Answer:

70.243

Step-by-step explanation:

hope this helps you!!

Answer:

0.243 + 70.3 = 70.543

Answer:

(x - 12)(x + 4)

Step-by-step explanation:

The two numbers have equal the b term which is -8

You know you have to subtract to get your answer because there is a minus sign in front of the c term

Find what factors of 48 subtract to = -8

-12 + 4 = -8

Answer:

Step-by-step explanation:

The rate of deflation of the hot-air balloon is 0.25 feet per minute. Let's represent the diameter of the balloon at any time t in minutes as D(t).

We know that D(0) = 14 feet (initial diameter) and we want to find x when D(x) = 8 feet.

Using the fact that the rate of change of D with respect to time is -0.25 (negative because the diameter is decreasing), we can set up a differential equation:

dD/dt = -0.25

Separating variables and integrating, we get:

∫(1/D) dD = ∫(-0.25) dt

ln|D| = -0.25t + C

where C is the constant of integration.

Using the initial condition D(0) = 14, we get:

ln|14| = C

C = ln(14)

Substituting this value of C into the equation, we get:

ln|D| = -0.25t + ln(14)

Taking the exponential of both sides, we get:

|D| = e^(-0.25t + ln(14)) = e^ln(14) e^(-0.25t) = 14 e^(-0.25t)

Since we are only interested in the positive value of D, we can drop the absolute value sign:

D = 14 e^(-0.25t)

Now we can solve for x by setting D = 8:

8 = 14 e^(-0.25x)

Dividing both sides by 14, we get:

e^(-0.25x) = 8/14 = 4/7

Taking the natural logarithm of both sides, we get:

ln(e^(-0.25x)) = ln(4/7)

-0.25x = ln(4/7)

x = -4 ln(4/7) / 0.25

x ≈ 6.21

Therefore, it will take about 6.21 minutes for the balloon to shrink to a diameter of 8 feet.

There are infinitely many solutions to an equation with two variables.

We know that an equation is a mathematical statement that contains equal symbol between two mathematical expressions.

In this question need to solve  an equation with x and y in one equation.

Consider an equation with two variables: 5x + y = 8

If we solve given equation for x then it would be,

5x + y = 8

5x + y - y = 8 - y

5x/5 = (8 - y)/5

x = (8 - y)/5

for any arbitrary real value value of y we can find the value of x.

This means there are infinitely many solutions.

If we solve given equation for y then it would be,

5x + y = 8

5x + y - 5x = 8 - 5x

y = 8 - 5x

for any arbitrary real value value of x we can find the value of y.

Therefore, an equation with two variables has infinitely many solutions.

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Answer:

24

Step-by-step explanation:

x + 16

8 + 16

= 24

You just plug in 8 in the x place. Hope this helps, thank you !!

President Richard Nixon proposed the creation of The Environmental Protection Agency (EPA).

What is the Environmental Protection Agency?

The Environmental Protection Agency is an independent government agency of the United States, which was considered mandatory by the government for environmental issues.

The Agency followed a series of measures to improve air quality, decrease greenhouse gas emissions, forbid water pollution, and invest in oil spill control measures.

The EPA had many obligations in the United States, two of which were to set industry standards to reduce their impact on the environment and investigate air pollution.

How did the EPA launch?

The operation of the agency began on December 2, 1970, after President Nixon had signed an executive order. The order established by the EPA was made official by signing by the committee hearings in the House and Senate.

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The population of Nigeria in 2011 is 366.466 million people. The population of Nigeria in 2021 is 469.557 million people. In the year 2080, the population of Nigeria reaches 2 billion people.

As per the question,

                          P( t )   =   279\(( 1 + 0.0251 )^{t}\)        → 1

where,          P( t )   =   population in millions

                        t     =    number of years since 2000

⇒ Population of Nigeria in 2011,

Substitute t = 11 in 1,

P( t )   =   279\(( 1 + 0.0251 )^{t}\)

          =   279\(( 1 + 0.0251 )^{11}\)

          =   279\(( 1.0251 )^{11}\)

          =   279( 1.3135)

P( t )   =   366.466

⇒ Population of Nigeria in 2021,

Substitute t = 21 in 1,

P( t )   =   279\(( 1 + 0.0251 )^{t}\)

          =   279\(( 1 + 0.0251 )^{21}\)

          =   279\(( 1.0251 )^{21}\)

          =   279( 1.683)

P( t )   =   469.557

⇒ Year in which the population of Nigeria becomes 2 billion i.e. 2000 million

Substitute P( t ) = 2000 in 1,

P( t )   =   279\(( 1 + 0.0251 )^{t}\)  

2000  =   279\(( 1 + 0.0251 )^{t}\)

\(( 1 + 0.0251 )^{t}\)  =   2000 / 279

\(( 1 + 0.0251 )^{t}\)  =   7.16845878

By applying log on both sides,

t log( 1.0251 )   =   log( 7.16845878 )

t   =    log( 7.16845878 ) / log( 1.0251 )

t   =   79.4547 ≅  80

Therefore, The population of Nigeria is 366.466 million in 2011, 469.557 million in 2021 and 2000 million i.e. 2 billion in 2080.

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The complete question is

The population of Nigeria can be modelled by the function

                             P( t )   =   279\(( 1 + 0.0251 )^{t}\)  

where measures the population in millions and represents the number of years since 2000. using this model, what was the population of Nigeria in 2011? predict the population of Nigeria in 2021. if this growth rate continues, in what year will the population of Nigeria reach 2 billion people?