I NEED HELP!! ITS POLYNOMIALS!!


(5a + 7b) - (3a + 2b) =

The theoretical probability of landing on tails is P = 0.5, and out of the 250 contestants, around 125 will win the game.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The degree to which something is likely to happen is basically what probability means.

If the coin is fair, each of the two outcomes will have a probability of 0.5 as there are two possible outcomes (this is the theoretical probability for a fair coin, where all the outcomes have the same probability).

Then, for a sample N, we can expect that about 0.5N of the participants win.

We have Sample = 250, then

= 0.5 x 250

= 125

Around 125 of the contestants win the game

learn more about probability here:

brainly.com/question/251701

#SPJ1

We accert H1 alternative that is result is population mean greater than 400.

There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

We have given: μ = 14, x bar = 16, n = 40, s = 6,  α = 5%, = 0.05

To test μ0 : μ = 14   Vs  H1: μ > 14

Test statistics = (X bar - μx)√n / sx = (2 x 6.3245) / 6 = 2.1081

So, P value = 0.021

Conclusion: There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

P value for the hypothesis test

n = 50, x bar = 420, sx = 81, μ = 400,

To test:  H0: μ 400    Vs   H1:  μ > 400

It is right tail test

Test statistics =  (X bar - μx)√n / sx = (420 - 400) √50 / 81 =

z = 1.7459

P value = 0.04093

Declsion: We reject H0 is p value < α

Here α = 0.05

Hence P value < α

Conclusion: We accert H1 alternative that is result is population mean greater than 400.

Hence, we accert H1 alternative that is result is population mean greater than 400.

There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

To know more about standard deviation, click on the link

https://brainly.com/question/475676

#SPJ4

The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

To learn more about : radius

https://brainly.com/question/24375372

#SPJ11

The equivalent function of g(f(x)) for the given function  is 2x³ - 3.

Function composition is an operation × that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.

We have been given that

f(x) = x3 – 1

g(x) = 2x - 1

and find out g(f(x)) =?

The notation for function composition is h = f • g or h(x) = (f • g)(x) and is read as 'f of g of x'. The procedure is called composition because the new function is composed of the two given functions f and g, where one function is substituted into the other.

g(f(x)) = 2(f(x))- 1

Put the value of f(x) in the equation

g(f(x)) = 2( x³ - 1) -1

g(f(x)) = 2 x³ - 2 -1

g(f(x)) = 2 x³ - 3

Hence , For the given function, 2x3 - 3 serves as the corresponding function of g(f(x)).

To learn more about Composition function

https://brainly.com/question/10687170

#SPJ1

Answer:

x = 6.41

Step-by-step explanation:

Answer:

x = 10.7

Step-by-step explanation:

\(sin59=\frac{9.2}{x}\)

\(x=\frac{9.2}{sin59} =10.73\)

Hope this helps

Answer:

3552

Step-by-step explanation:

So, basically, you use the formula and plugin 37, the number of terms, into n.

So:

96(37)

96(37) = 3552

Hope this helps!

Please mark brainliest.

The value of a₁ cannot be determined based solely on the given information. The limit of ak as k approaches infinity is known to be less than or equal to 5.

It is not possible to draw a specific conclusion about the limit of the terms in the series, i.e., lim ak, based solely on the given information. The given condition that lim ak <= 5 as k approaches infinity only provides an upper bound for the terms in the sequence.

Without further information about the behavior and specific values of the terms in the sequence, we cannot determine whether the terms converge to a specific limit below 5, exhibit oscillation, or diverge. Additional information would be necessary to make any definitive conclusions about the limit of the series.

Learn more about infinite series: brainly.com/question/30221799

#SPJ11

The standard normal distribution  becomes smaller.

What is standard deviation?

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

becomes smaller.

Learn more about standard deviation

brainly.com/question/13905583

#SPJ4

By evaluating the equation we found  3 pairs we can write the table:

x = -7, 0, 7

y = 2, -2, -6

Which represents our equation.

We want to get a table of the form:

x: x₁, x₂, x₃, ...

y: y₁, y₂, y₃, ...

To get that, we need to evaluate the given equation in some different values of x, so let's do that.

if we take x = 0, then we get:

y = -(4/7)*0 - 2 = -2

So we have the pair (0, -2)

If x = 7, then:

y = (-4/7)*7 - 2 = -4 - 2 = -6

So we have the pair (7, -6)

If x = -7 then:

y = (-4/7)*-7 - 2 = 4 - 2 = 2

So we have the pair (-7, 2)

So now that we have 3 pairs we can write the table:

x = -7, 0, 7

y = 2, -2, -6

Which represents our equation.

Learn more about evaluating equations:

https://brainly.com/question/1719822

#SPJ1

Answer:

Answer below

Step-by-step explanation:

1. C 2

2. The temperature from 15°F to -6°F has changed by 21°F

5. C $37

I hope this helps

Answer:

Part A: \(\frac{3}{5}\)

Part B: \(\frac{1}{2}\)

Step-by-step explanation:

We know that Alinn flipped a coin 20 times, and that 12 of those times resulted in heads. The other 8 times resulted in tails.

Part A wants us to find the experimental probability of the coin landing on heads. Experimental probability is the probability determined based on the experiments performed.

Part B wants us to find the theoretical probability of the coin landing on heads. Theoretical probability is determined based on the number of favorable outcomes over the number of possible outcomes.

Experimental probability is determined as # of times something occurred experimentally / total number of times.  

Since 12 of the 20 times that Alinn flipped the coin resulted in heads, this means that the experimental probability of Alinn flipping heads is \(\frac{12}{20}\), which simplifies down to \(\frac{3}{5}\).

Theoretical probability, as stated above, is the number of favorable outcomes / possible outcomes.

Our favorable outcome is flipping heads, and on a coin, there are two sides that a coin can land on: heads and tails. This means that there are two possible outcomes, and only one of them is favorable.

This means that our theoretical probability is \(\frac{1}{2}\).

Answer:

2

Step-by-step explanation:

Based on the given information, we can assume that the survey has a 95% confidence level, which means that the margin of error can be calculated using the formula:

Margin of Error = (maximum difference in percentage points / 2)

The maximum difference in percentage points between the two candidates is 53% - 47% = 6%. Dividing this by 2 gives us a margin of error of 3%. Therefore, we can say that the results of the phone survey indicate that between 44% and 56% of voters may choose candidate a over candidate b (with a margin of error of +/- 3%).

To know more about margin of error, visit:

https://brainly.com/question/31291448

#SPJ11

When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is 46.3%.

The given problem is an example of confidence intervals in statistics. The formula for finding the confidence interval in percentage is given below:

Confidence Interval in Percentage = P ± Z Score x √ (PQ/n)

where

P = Sample proportion

Q = 1 - P

n = Sample Size

Z Score is obtained from the Z-Table where the confidence level is given.

To obtain the upper limit, the following formula should be used:

Upper Limit of the Confidence Interval = P + Z Score x √ (PQ/n)

Substitute the given values of the question into the formula:

P = 114/293 = 0.3891

Q = 1 - 0.3891 = 0.6109

n = 293

The upper limit for the 90% confidence interval is given by the Z-Table at 1.645:

Upper Limit of the Confidence Interval = 0.3891 + 1.645 x √ [(0.3891 x 0.6109)/293]

≈ 0.3891 + 1.645 x 0.0467

≈ 0.3891 + 0.07701

≈ 0.4661 = 46.3%

Therefore, the answer is 46.3%.

To know more about confidence interval visit:

https://brainly.com/question/32546207

#SPJ11

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

The difference between the amount of interest earned by Krista and Julio can be determined by calculating the interest earned by each individual based on their respective investments. Julio invested a certain amount of money at 6% interest, while Krista invested $200 less but received 9% interest. After one year, the difference in the interest earned by Krista and Julio can be computed.

To calculate the interest earned by Julio, we multiply his investment amount by the interest rate of 6%. Let's assume Julio's investment is represented by "x." Hence, the interest earned by Julio is 6% of "x."

For Krista, her investment amount is $200 less than Julio's investment, which means her investment can be represented as "x - 200." To find the interest earned by Krista, we multiply her investment amount by the interest rate of 9%.

After one year, the difference between the interest earned by Krista and Julio is the interest earned by Krista minus the interest earned by Julio.

By performing these calculations, we can determine the specific difference in interest earned between Krista and Julio after one year.

To learn more about investment click here : brainly.com/question/17252319

#SPJ11

Answer:

14

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x² + 1 - (1 - x)

= 3x² + 1 - 1 + x

= 3x² + x

Then

(f- g)(- 2)

= 3(- 2)² + 2

= 3(4) + 2

= 12 + 2

= 14

The SI units for the quantities you mentioned are:

1. Length: The SI unit for length is the meter (m).

2. Mass: The SI unit for mass is the kilogram (kg).

3. Time: The SI unit for time is the second (s).

4. Electric current: The SI unit for electric current is the ampere (A).

5. Amount of substance: The SI unit for the amount of substance is the mole (mol).

6. Temperature: The SI unit for temperature is the kelvin (K).

7. Luminous intensity: The SI unit for luminous intensity is the candela (cd). An angstrom (symbol: Å) is a unit of length equal to 10^(-10) meters or 0.1 nanometers. It is often used to express the sizes of atoms and molecules.

Learn more about SI units,

https://brainly.com/question/30337878

#SPJ11

Answer:

2/5

Step-by-step explanation:

5/2x = 1

2/5 x 5/2x = 1 x 2/5

x = 2/5

Answer:

x = 2/5

Explanation:

Step 1: Multiply both sides by 2/5.

(2/5) * (5/2x) = (2/5) * (1)

x = 2/5

Step-by-step explanation:

sides are 4cm, 8cm, 8cm ----( because isosceles triangle have 2 sides equal )

so, perimeter = sum of all sides

= 4 + 8 + 8

Answer:

5 hours

Step-by-step explanation:

she works 5 hours each dinner shift

(b) the blood pressure 0.1 second after a heartbeat is approximately 110.179.

(a) To find the function that describes the blood pressure in the aorta, we need to integrate the given rate equation with respect to t:

∫ dp/dt dt = ∫ -46.645e^(-0.491t) dt

Integrating the right side gives us:

p(t) = ∫ -46.645e^(-0.491t) dt

To evaluate this integral, we can use the substitution u = -0.491t and du = -0.491dt:

p(t) = ∫ (46.645e^u) (-1/0.491) du

p(t) = -95.033e^u + C

Since the initial condition is p = 110 when t = 0, we can substitute these values into the equation:

110 = -95.033e^(0) + C

110 = -95.033 + C

C = 110 + 95.033

C = 205.033

Therefore, the function that describes the blood pressure in the aorta is:

p(t) = -95.033e^(-0.491t) + 205.033

(b) To find the blood pressure 0.1 second after a heartbeat, we can substitute t = 0.1 into the function we found in part (a):

p(0.1) = -95.033e^(-0.491(0.1)) + 205.033

p(0.1) = -95.033e^(-0.0491) + 205.033

Using a calculator, we can evaluate this expression:

p(0.1) ≈ 110.179

To learn more about integral visit:

brainly.com/question/31433890

#SPJ11

Answer: 56%

Probably that it will rain and she goes + probably that it will be sunny and she goes

=     0.4 * 0.2     +           0.6*0.8

=          0.08      +              0.48

=   0.56

56% chance

Step-by-step explanation:

Cost per box : $1.2

\( \frac{1.5}{12} \times 100\% = 12.5\%\)

Answer:

c) x = 120, y = 70

Step-by-step explanation:

Since lines a, b and c are parallel, x = 120.

That angle inside the triangle kind of below x would be 180-120 = 60 degrees.

All 3 inside (interior) angles of a triangle add up to 180.

So 60+50+y = 180

110 + y = 180

y = 180-110

y = 70.

x =120, y = 70.

Choose option c.

Answer:

B. -14x+8

Step-by-step explanation:

Answer:

hehehejejeuueuuuuusuusuuuejjsjejejjejjjjdjdjjdjjdjjdkdkdidiieiei answer

When two variables are independent, we would expect the test variable frequency to be different for some groups.

When two variables are independent, it means that changes in one variable do not have any effect on the other variable. In this case, we cannot assume that there is no relationship between them. The test variable frequency can still vary for different groups, even if the variables are independent overall.

The relationship between the variables may be influenced by other factors or subgroup differences. Therefore, we would expect the test variable frequency to be different for some groups rather than being similar for all groups when the variables are independent.

To learn more about variables click here: brainly.com/question/15740935

#SPJ11