Rounded to the nearest percent

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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Answer:

x = 9

m<AOB = 29°

m<BOC = 57°

m<COD = 29°

Step-by-step explanation:

Given:

m<AOB = (4x - 7)°

m<BOC = (5x + 12)°

m<COD = (2x + 11)°

The diagram shows <AOB is congruent to <COD.

Set both angles equal to each other to find x.

m<AOB = m<COD

4x - 7 = 2x + 11

Collect like terms

4x - 2x = 7 + 11

2x = 18

Divide both sides by 2

2x/2 = 18/2

x = 9

Find the measure of each angle by plugging in the value of x into each expression for each angle:

m<AOB = (4x - 7)° = 4(9) - 7 = 36 - 7 = 29°

m<BOC = (5x + 12)° = 5(9) + 12 = 45 + 12 = 57°

m<COD = (2x + 11)° = 2(9) + 11 = 18 + 11 = 29°

Answer:

x = 5+6y

Step-by-step explanation:

Let x represents the age of the father and  y represents the present age of the son.

ATQ,

The present age of  the father is 5 more than 6 times the  age of the son. We can write it in the form of equation as follows :

6 times the  age of the son means 6y. So,

x = 5+6y

Hence, the mathematical equation is "x = 5+6y".

In JMP, open the data in Fit Model and choose scatterplot, and a residual usually looks like the scatterplot but more extended vertically.

(a): Yes, because there is not much of a trend in the data.

(b): The materials cost is a very small percentage of the average cost. It could be true that items that use fewer materials take more labor hours to make ready for the customer.

(c): chose a correct residual plot

In JMP, in the top red triangle, click on save columns, and then click on Residuals. Then go to the data table in JMP and in Graph, press GRAPH BUILDER... put residuals on y and # of labor hours on x

As the number of labor hours​ increases, the residual values from the regression also tend to​ increase, suggesting that the labor input is a lurking variable.

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Answer:

\(2abCosC = 1\)

Step-by-step explanation:

The cosine rule is

=> \(a^2= b^2+c^2-2abCosC\)

For 2abCosC, it becomes

=> \(2abCosC = b^2+c^2-a^2\)

=> \(2abCosC = (2)^2+(1)^2-(2)^2\)

=> \(2abCosC = 1\)

Answer:

543.47826087

Step-by-step explanation:

The sample space for rolling a fair seven-sided die is the one on the first option.

S= {1, 2, 3, 4, 5, 6, 7}

For any experiments with some given outputs, the sample space is the set of the possible outputs.

For example, for a coin with two outputs (heads and tails) the sample space is just {head, tails}

Particularly, for a fair seven-sided die we have 7 possible outputs, which are all the whole numbers from 1 to 7, then the sample space for that die is:

S= {1, 2, 3, 4, 5, 6, 7}

So the correct optionis the first one.

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Answer:

The sample space for rolling a fair seven-sided die is the one on the first option.S= {1, 2, 3, 4, 5, 6, 7}

Step-by-step explanation:

that's it simple

Answer:

C + D

\(\frac{3}{4} (x + 8 )= -12\)

\(\frac{3}{4} x +6 = -12\)

The employee's new wage per hour is $10.83. The percentage increase of the original wage to his new​ wage is 3%.

A percent increase means how much a percentage has gone up over time. To find this number, one would need to find the difference between the original value and the final value, subtracting to find the exact total of the decrease. The formula for percent increase equals to "Increase / original number (value) x 100".

Given data:

First, we find 3% of $10.51 to get new wage per hour

= 0.03$ * $10.51

= $0.32

Then, we add this increase to $10.51.

= $10.51 + $0.32

= $10.83

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Answer:

He should mix 25 liters of the 30% solution, and 35 liters of 60% solution.

Step-by-step explanation:

The expression for the total amount of sales the store makes will be:25s + 28.8p

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.

From the information, the shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandal.

Let sneakers = s

Let sandals = p

An expression for the total amount of sales the store makes will be: 1/2(50s) + 0.8(36p).

= 25s + 28.8p

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Step-by-step explanation:

No sé la respuesta exactamente, pero cuando la traduje decía T6, ¿qué es eso?

The sheds must be similar so we han have the relation:

So we can solve for y to have an expression so:

and we can solve it so:

So the shed that is 156 inches long has a high of 36 inches

Step-by-step explanation:

To find the greatest common factor (GCF) of the expression (8 + 12), we need to first simplify the expression by finding the sum, which is 20. Therefore, the GCF of (8 + 12) is simply the GCF of 20, which is 20.

To rewrite the expression as a multiple of a sum of two whole numbers with no common factor, we can factor out the GCF of 4 from both 8 and 12, giving us:

(8 + 12) = 4(2 + 3)

The expression (8 + 12) is thus a multiple of the sum of the whole numbers 2 and 3, which have no common factor.

Answer:

Hey bro

Step-by-step explanation:

Answer:

6/8 of a chapter

Step-by-step explanation:

3/8 = 1/2 of an hour

1/2 + 1/2 = 1

Basic Fact ^^

So, we need to add 3/8 + 3/8 or 3/8 x 2

We get : 6/8

He didn't read a whole chapter but he did read 6/8 of a chapter.

Answer:

Step-by-step explanation:

There are 60 min in an hour - 1/5 of an hour=20mim

3/8 x 5 = 15/8 = 1 & 7/8 chapters

Answer:

What are the given dimensions of the rectangular prism? We need more info in order to help you in the best way possible. If you could provide more info about the question in the comments below, I'd be more than happy to take a look and see what I can do to help.

Thanks!

Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.

Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.

Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.

Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.

Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.

The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.

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Answer:

eight point nine seven, 8+0.9+0.07

Step-by-step explanation:

Answer:

9.26 per quart

Step-by-step explanation:

A 3-gallon bucket of paint costs $111.12.

  Find the price of per quart.

3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:

111.12 / 12 = 9.26

Answer:

6.48

Step-by-step explanation:

Start with:

 \(4.88\)

+ \(1.6\)

I could understand why you may be confused, so one trick is to add a \(0\) next to the \(6.\)

Rewrite:

 \(4.88\)

+ \(1.60\)

Add.

\(6.48\)

Answer:

(a) Total No. of Subsets = 128

(b) Total No. of Proper Subsets = 127

Step-by-step explanation:

First we need to define the set of days of the week.

Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

It is evident from the set of days of the week, that it contains 7 elements.

(a)

The total no. of subsets of a given set is given by the following formula:

Total No. of Subsets = 2^n

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Subsets = 2^n

Total No. of Subsets = 2^7

Total No. of Subsets = 128

(b)

The total no. of proper subsets of a given set is given by the following formula:

Total No. of Proper Subsets = (2^n) - 1

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Proper Subsets = (2^n) - 1

Total No. of Proper Subsets = (2^7) - 1 = 128 - 1

Total No. of Proper Subsets = 127

The total number of subsets is 128 and the total number of proper subsets is 127 and this can be determined by using the given data.

Given :

The set of days of the week.

The following steps can be used in order to determine the number of subsets and the number of proper subsets:

Step 1 - According to the given data, the set is given below:

S = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

Step 2 - Now, the total number of subsets is given by the formula \(2^n\) where 'n' is the number of elements of the set.

\({\rm Total\;Subsets} = 2^7\\{\rm Total\;Subsets} = 128\)

Step 3 - Now, the total number of proper subsets is given by the formula \((2^n-1)\) where 'n' is the number of elements of the set.

\({\rm Total\; Proper\; Subsets}=2^7-1\\{\rm Total\; Proper\; Subsets}=127\)

a) The total number of subsets is 128.

b) The total number of proper subsets is 127.

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The exponential growth is 1.95% and after 35.72 years the population will double.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(\rm y = a^x\)

where a is a constant and a>1

Let's suppose the exponential growth function is:

\(\rm y = Ae^{rt}\)

A = 163,000

y = 1,686,000

t = 2020 – 1900 = 120 years

Plug all the values in the function:

\(\rm 1686000 = 163000e^{120r}\)

\(\rm e^{120r} = 10.343\)

Taking ln both side and solving:

r = 0.0194

r = 1.946 ≈ 1.95%

\(\rm 2A = Ae^{0.0194t}\)  (the population to double)

After solving:

t = 35.72 years

Thus, the exponential growth is 1.95% and after 35.72 years the population will double.

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(a) The side length of the square is 8 m, so its area is 64 square m.

(b) The radius of the circle is 4 m, so its area is \((\pi)(4^{2})=16\pi\) square m.

(c) Subtracting areas, we get the area of the shaded region is \(64-16\pi\) square m.

Answer:

-40

Step-by-step explanation:

So what this question is basically saying is that you have to multiply -4 by -2 first to get 8 and then you multiply that by -5 hence getting the answer of -40

Answer:

the answer is (D) F-1 (X) = 7x - 3

Step-by-step explanation:

Answer:

the answer is 4k^2+9k+108

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

When you say "the 2 is small" I think you mean it's an exponent so the equation would look like....

\(9(k+12) + 4k^{2}\)

if k=3 we would replace all the k's with 3.

9(3+12) + 4(3)²

9(15) + 4(9)

135 + 36

171

So the answer would be 171

Hope that helps and have a great day!

Answer:

Option B - False

Step-by-step explanation:

Critical value is a point beyond which we normally reject the null hypothesis. Whereas, P-value is defined as the probability to the right of respective statistic which could either be Z, T or chi. Now, the benefit of using p-value is that it calculates a probability estimate which we will be able to test at any level of significance by comparing the probability directly with the significance level.

For example, let's assume that the Z-value for a particular experiment is 1.67, which will be greater than the critical value at 5% which will be 1.64. Thus, if we want to check for a different significance level of 1%, we will need to calculate a new critical value.

Whereas, if we calculate the p-value for say 1.67, it will give a value of about 0.047. This p-value can be used to reject the hypothesis at 5% significance level since 0.047 < 0.05. But with a significance level of 1%, the hypothesis can be accepted since 0.047 > 0.01.

Thus, it's clear critical values are different from P-values and they can't be used interchangeably.