Find the 4th term in the expansion of (a+b)^{10} in simplest form.

The worth of the stock after the increase is $14.375.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Based on the information given, the addition expression will be:

= Original value + Increase

= $11.50 + (1/4 × $11.50)

= $11.50 + $2.875

= $14.375

The value is $14.375.

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If we live on the moon, a day on the Moon is about a lunar month long

The correct answer is an option (c)

We know that a day is the length of time between two noons or sunsets. A day is of 24 hours on Earth and 708.7 hours (which is 29.53 Earth days) on the moon.

We know that a lunar month is nothing but the time the Moon takes to go around the Earth.

A lunar month is of approximately 29.53 days.

This means, a day on the Moon is about a lunar month.

Therefore, a day on the Moon is of 708.7 hours i.e., about a lunar month.

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Part a: Ignoring those that are bigger than 4.

Part b: labeling the random number.

Part c: conclusion, Claire should plan to purchase 12 boxes.

Part a: random number table;

Part b: labeling the random number.

7318495907 05179 51002(10 boxes) 8337452297 07769 99792 78365 9348772753 36216 (15 boxes) 07230 35793 71907 65571 66784(10 boxes) 25548 91861 15725.

Part c: conclusion,

On average, Claire should plan to purchase 12 boxes.

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When the null hypothesis is rejected possible a Type i error has occurred.

Let's Understand what is null hypothesis?

A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a set of provided observations. Using sample data, hypothesis testing is used to judge a hypothesis' veracity. It is sometimes referred to as just "the null" and its symbol is [tex]H_{0}[/tex].

We have total 4 cases:

[tex]H_{0}[/tex]  accepted when  [tex]H_{0}[/tex] is true ->  Correct decision

[tex]H_{0}[/tex] rejected when [tex]H_{0}[/tex] is true -> Type i Error  when null hypothesis is  present and we have rejected

[tex]H_{0}[/tex] accepted when [tex]H_{0}[/tex] is false -> Type ii Error when null hypothesis is not  present but we have accepted

[tex]H_{0}[/tex] rejected when [tex]H_{0}[/tex] is false -> Correct decision.

So according to question null hypothesis is rejected so we have two options Either Null hypothesis is present or not present.

if it is present  then it is Type i Error.

if it is not present then it is Correct decision.

So when the null hypothesis is rejected possible a Type i error has occurred.

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The acceleration of the truck when it has a mass of 5000 kg and the truck driver presses on the brakes is 1.2m/s².

The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations.

The orientation of an object's acceleration is determined by the orientation of the net force acting on that object's acceleration, which is the rate at which velocity changes over time in terms of both speed and direction. A point or object moving in a straight line is accelerated if it accelerates or decelerates.

Acceleration will be:

= Force / mass

= 6000 / 5000

= 1.2 m/s²

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There is a 0.044% probability of having exactly 8 boys in a sample of 10 births.

Simply put, the probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2 (a head or tail).

P(heads) = 1/2 is what we write.

So, X is the proportion of boys among n particular births. Let p represent the likelihood of having a boy at a certain birth.

Here n=10.

Additionally, because male and female births are equally likely, there is a 50% chance of having a boy or a girl.

P(Boy) = P(girl) = 0.5

p = 0.5

Based on the information provided, there will be a defined number of trials (n) of 10, with a constant chance of success (p).

Furthermore, every trial stands alone from the others.

So, with n=10 and p=0.5, X follows a binomial distribution.

The following is the probability function of the binomial distribution for the k number of successes, where x = k.

[tex]\mathrm{P}(\mathrm{X}=\mathrm{k})=(10 C k) 0.5^k(1-0.5)^{10-k}[/tex]

Finding the likelihood of 8 boys in n=10 births is necessary.

P(X=8) = (10C8)0.5⁸(1-0.5)¹⁰⁻⁸

= 45 × 0.0039 × 0.25

P(X = 8) = 0.0438

Therefore, there is a 0.044% probability of having exactly 8 boys in a sample of 10 births.

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The largest possible value for the decimal $a. B + c. D$  us:

9.7 + 8.6 which results to 18.3.

Given that a, b, c, and d are different numbers (from 1 to 9), we are to find the largest possible value of a.b + c.d.

This problem can be answered by trial and error and with some logic. Clearly, a to d cannot be at the lower end of the values (1 to 5). Since the digits must be different, it can be a combination of digits from 6 to 9.

It is rather tempting to say that the 9.8 + 7.6 would yield the highest possible sum (=17.4) but this is incorrect. Since it is the sum of two numbers with a decimal, we have to maximize on the ones digit first before maximizing the tenths digit. Therefore: the combination of numbers must then be:

9.7 + 8.6 which results to 18.3

9.6 + 8.7 yields 18.3 as well.

Hence we get the required answer,

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Answer:y2-y1/x2-x1

Step-by-step explanation:

The formula for rise over run or slope is y2-y1 divided by x2-x1

An example

(5,4),(3,7)

y2=7,y1=4

x2=3,x1=5

plug in and solve

7-4/3-5

slope would be -1

Answer:

5r

Step-by-step explanation:

r+r+r+r+r=5r

The percentage of water in the milk cup and the percentage of milk in the water cup are same.

What is milk?

A white liquid meal called milk is generated by mammals' mammary glands. Before they can digest solid food, it is the main source of nutrition for young mammals. Milk immunity is influenced by immune components and immune-modulating elements.

Given:

There are a cup of milk and a cup of water.

Take one teaspoon of milk, put into the water cup; mix well.

Take one teaspoon of the mixture in the water cup and put into the milk cup then mix well.

Suppose the percentage of water cup are 'p' and the percentage of milk cup are 'q'.

When we add one teaspoon of milk and put into water cup then the percentage of water cup are 'p + 1'.

And the percentage of milk cup are 'q - 1'.

Again one teaspoon of mixture in the water cup put into the milk cup.

So, the percentage of milk cup are, q - 1 + 1 = q.

And the percentage of water cup are p + 1 - 1 = p.

The percentage will be same for both milk cup and water cup.

Hence, the percentage of water in the milk cup and the percentage of milk in the water cup are same.

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Answer: 36, 42, 78

Step-by-step explanation:

20 is only divisible by 2
50 is only divisible by 2
45 is only divisible by 3
36/2=18 36/3=12
42/2=21 42/3=14
78/2=39 78/3=26

Answer: 36, 42, 78

Step-by-step explanation:

36/2= 15, 36/3=12

42/2= 21, 42/3=14

78/2=39, 78/3=39

Answer:

has to be c other wise it would make sense

Answer:

19

Step-by-step explanation:

3^2+3+7

9+3+7

12+7

19

Hopes this helps please mark brainliest

Answer:

-4/5 (fraction)

Step-by-step explanation:

add the numbers:

25x^2-16=0

use quadratic formula

simplify -40/50

-4/5

With a 95% confidence interval, the proportion of all shrubs of this species that will resprout after a fire is between 0.17 and 0.67.

What is a confidence interval?

An area surrounding a measurement that indicates how accurate it is called a confidence interval.

Here, we have

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means the probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 14

x = 6

p = 6/14 = 0.42

q = 1 - 0.42 = 0.58

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail.

Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 2.05. Thus, Thus, the z score for a confidence level of 95% is 1.96

Therefore, the 95% confidence interval is

0.42 ± 1.96√(0.58)(0.42)/14

The lower limit of the confidence interval is

0.42 - 0.25 = 0.17

The upper limit of the confidence interval is

0.42 + 0.25 = 0.67

Hence, with a 95% confidence interval, the proportion of all shrubs of this species that will resprout after a fire is between 0.17 and 0.67.

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Answer: $38.50 per month

Step-by-step explanation: We have to find 10% of 35 and add it to 35. This is because 10% of 35 is the amount that will increase so adding that to the original 35 will be her new premium. 10% of 35 is $3.50 and $3.50 + $35 is $38.50. This means her new premium is $38.50 per month.

Answer: The glass of water has inertia

Step-by-step explanation: The trick works no matter how heavy an object is since friction is weaker for lighter objects. Provided you pull quickly enough, this trick can even be done with glasses or plate

Hence, the indicated side hypotenuse is [tex]46[/tex].

What is the angle?

Angles are an integral facet in the study of mathematics, particularly geometry. Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint. The point at which the two rays meet (intersect) is called the vertex.

Let us assume the angle name [tex]x[/tex] and  the triangle [tex]ABC[/tex], and the hypotenuse is [tex]y[/tex].

Here given angle and side are

[tex]x=30[/tex] degree

And the side [tex]AB=23[/tex]

Now we are applying the [tex]sine[/tex] because it is

[tex]sinx=\frac{P}{H}[/tex]

So,

[tex]sin(30)=\frac{23}{y}\\\\\frac{1}{2}=\frac{23}{y}\\\\y=46[/tex]

Hence, the indicated side hypotenuse is [tex]46[/tex].

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Answer: A

Step-by-step explanation: To solve this problem, we need to use the properties of triangles and the given information to determine the measure of angle C.

First, we can use the fact that angle A is opposite angle C to deduce that angles A and C are congruent (i.e. they have the same measure). This means that the measure of angle C is 25 degrees.

Next, we can use the fact that triangle AABC is isosceles (i.e. it has two sides of equal length) to deduce that angle B is also 25 degrees. This is because the sum of the interior angles of a triangle is 180 degrees, so if angle A is 25 degrees and angle C is 25 degrees, then the remaining angle, angle B, must be 180 - (25 + 25) = 130 degrees.

We can also use the fact that triangle AEFG is isosceles to deduce that angle F is also 100 degrees. This is because the sum of the interior angles of a triangle is 180 degrees, so if angle E is 100 degrees, then the remaining angle, angle F, must be 180 - 100 = 80 degrees.

Finally, we can use the given information that the measure of angle Z is 25 degrees and the measure of angle F is 100 degrees to deduce that the measure of angle X is 180 - (25 + 100) = 55 degrees. This is because the sum of the interior angles of a triangle is 180 degrees, and we have already determined the measures of two of the angles (angles Z and F).

Therefore, the measure of angle C is 25 degrees, which means the correct answer is A) 125 degrees.

The mean service time from the ​customers are between 161.5 to 164.7 seconds.

The trade magazine QSR routinely checks the​ drive-through service times of​ fast-food restaurants.

A 90% confidence interval that results from examining 607 customers in Taco Bell's drive-through has a lower bound of 161.5 seconds and an upper bound of 164.7 seconds.

Let's denote the mean service time by μ. Then, note that, we are given that n=607. Also, we are said that a 90% CI for μ is given by

(161.5,164.7)

This implies that we are 90% confident that μ lies in the interval. Or to be precise, this interval is a realization of a random interval that has 90% probability of covering the true mean. Thus, we are 90% confident that the mean service times of the restaurants are between 161.5 to 164.7 seconds.

Hence the answer is The mean service time from the ​customers are between 161.5 to 164.7 seconds.

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Answer:

Step-by-step explanation:

Answer:

The answer is 1902

Step-by-step explanation: You use pemdas. First you ansewer whats in the parentheses then exponents then add

Answer:

1902

Step-by-step explanation:

10^2= 100

9+10= 19

2+100(19) 19*100=1900 and then add 2 to get 1902

The confidence interval for a proportion should be constructed since the variable of interest is a person's opinion, which is a qualitative variable.

A trait that cannot be quantified is referred to as a categorical variable (also known as a qualitative variable).

Nominal or ordinal categorical variables are also acceptable.

Since the variable of interest is a person's opinion, which is a qualitative variable, the confidence interval for a proportion should be built.

Statistical Variables Qualitative variables also referred to as categorical variables are variables without a built-in sense of hierarchy.

As a result, they are quantified using a nominal scale.

For instance, a qualitative variable is a name as well as hair color (Black, Brown, Gray, Red, Yellow).

Therefore, the confidence interval for a proportion should be constructed since the variable of interest is a person's opinion, which is a qualitative variable.

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I don't know for certain if you are trying to write this in standard form, graph it, or so forth. However, here is the standard form.

Standard Form:

[tex](x+2)^2+(y-2)^2=36\\[/tex]

Hope this helps you!

The probability of rolling a 3 the first time and a 3 the second time is 1/36.

Given that,

There are two rolls of one die.

We have to determine the probability of receiving a 3 both the first and second times.

We know that,

There are 6 faces on a die.

Of these 6 faces, one of them is 3 and one of them is 3

So, the probabilities of rolling a 3 and a 3 are:

P(3) = 1/6

P(3) = 1/6

The probability of rolling a 3 the first time and a 3 the second time is calculated as follows:

Pr=P(3)×P(3)

This gives

Pr=1/6×1/6

Multiply

Pr=1/36

Therefore, the probability of rolling a 3 the first time and a 3 the second time is 1/36.

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Answer:

no

Step-by-step explanation:

Answer:

f(4)= 45

Step-by-step explanation:

f(x)=3x^2-3. (1)

f(4)=?

so we have to put x=4 in equation (1)

we get

f(4)=3[(4)^2]-3

f(4) =3(16)-3

f(4)= 48-3

f(4)= 45 Answer...

Expression [tex]\frac{x^7y^5}{x^2y^3}[/tex] can be simplified as x⁵y² by applying laws of components.

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

[tex]\frac{x^7y^5}{x^2y^3}[/tex]

Simplify the expression by using law of exponents [tex]a^n/a^m =a^{(n-m)[/tex],

The expression can be rewritten as,

= [tex]x^{(7-2)}{y^{(5-3)}[/tex]

= x⁵ y²

The expression can be simplified as x⁵y².

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if a statistician decides to construct using 90 percent C I over a 95% C I, it tells you that you have 10% chance of being wrong rather than 5% chance of being wrong while using the 95%.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

A confidence interval is a range that shows how precise the measurement is.

if a statistician decides to construct using 90 percent C I over a 95% C I, it tells you that you have 10% chance of being wrong rather than 5% chance of being wrong while using the 95%.

Also a 90 percent confidence interval would be narrower than a 95 percent confidence interval

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