3.(06.01)
What is the value of the expression 5^2 +2^2? (2 points)

There is no good answer for this.

You would do s/12, since there is 1 adult for every 12 kids. Then, round the number to the nearest 1. (if it is a decimal, there is a number and remainder of students.)

The probability that someone wakes up before 6 am given that they are a jogger is 1/5.

To find the probability that someone wakes up before 6 am given that they are a jogger, we need to use Bayes' theorem which states:

P(A|B) = P(B|A) * P(A) / P(B)

where A and B are two events.

Let A be the event that someone wakes up before 6 am and B be the event that someone is a jogger. Then, we are given:

P(A) = 1/3

P(B) = 2/3

P(B|A) = 3/5

We want to find P(A|B).

Using Bayes' theorem, we get:

P(A|B) = P(B|A) * P(A) / P(B)

P(A|B) = (3/5) * (1/3) / (2/3)

P(A|B) = 1/5

This means that out of all the joggers, only 1/5 of them wake up before 6 am.

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Answer: m∠V = 28°

Step-by-step explanation:

     We know that a triangle's angles add up to 180. We will create an equation to solve for x. Then, we will substitute it back into the expression for angle V and simplify.

Given:

(9x - 8) + (2x + 2) + (3x + 4) = 180°

Simplify:

9x - 8 + 2x + 2 + 3x + 4 = 180°

Reorder:

9x + 2x + 3x - 8 + 2 + 4 = 180°

Combine like terms:

14x - 2 = 180°

Add 2 to both sides of the equation:

14x = 182°

Divide both sides of the equation by 13:

x = 13

---

m∠V = 2x + 2

m∠V = 2(13) + 2

m∠V = 28°

Since there are 10 bacteria, the amount of bacteria after 2 minutes is 2560 bacteria

To answer the question, we need to know what rate is

A rate is the amount per unit time of a quantity.

Let A₀ = initial amount of bacteria.

Given that the amount of bacteria doubles every 15 seconds, we have that the amount of bacteria left is

A = 2ⁿA₀ where

Given that

So, substituting the values of the variables into the equation, we have

A = 2ⁿA₀

A = 2⁸ × 10

A = 256 × 10

A = 2560 bacteria

So, the amount of bacteria after 2 minutes is 2560 bacteria

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Answer:

3: 27

8; 512

6; 216

Step-by-step explanation:

If mean of four numbers is10. Three of the numbers are10,14 and8The value of the fourth number is 8.

To find the value of the fourth number, we can use the concept of the mean.

The mean of a set of numbers is calculated by adding up all the numbers and then dividing the sum by the total number of values.

Given that the mean of four numbers is 10 and three of the numbers are 10, 14, and 8, we can substitute these values into the mean formula and solve for the fourth number.

Let's denote the fourth number as "x".

Mean = (Sum of all numbers) / (Total number of values)

10 = (10 + 14 + 8 + x) / 4

Now, let's solve the equation for "x".

Multiply both sides of the equation by 4 to eliminate the denominator:

40 = 10 + 14 + 8 + x

Combine like terms:

40 = 32 + x

Subtract 32 from both sides:

40 - 32 = x

Simplifying:

8 = x

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Answer: b= -108

Step-by-step explanation:

-6=b/18

-6=b/2(3)^2

-18(6)=b

-108=b

b= -108

*I hope that this makes sense :)

The number of significant digits the product should have = 2

The given numbers are:

\(4.5160 \times 10^{-3}\\ 2.09 \times 10^7\\ 5.8 \times 10^3\)

We first multiply them.

\(4.5160 \times 10^{-3}\times 2.09 \times 10^7\times 5.8 \times 10^3 = 54.743\times10^7\)

In measurement problems, we usually write it as \(5.474\times10^7\)

Significant digits are the numbers which decide the precision and accuracy in measurement problems.

The fewest number of significant digits in each factor of multiplication is considered as the significant digits of the product.

So number of significant digits in \(4.5160\times10^{-3}\) = 5

Number significant digits in \(2.09\times10^7\) = 3

Number of significant digits in \(5.8\times10^3\) = 2

So the product should be rounded into 2 significant digits.

So the product,  \(5.474\times10^7\)= \(5.5\times10^7\) with 2 significant figures.

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The equation of the graph is given by  C = 2V +70 and it costs $670 to order 300 liters of paint.

It is given that the graph of the line passes through the points (0,70) and (40,150)

Now it is given that cost is represented by C and the volume of paint ordered is denoted by V .

Slope of the line = (150-70)/(40-0) = 2

Hence the equation will be

C -70 = 2 (V-0)

or, C = 2V +70

Now we can use this given equation to find the cost that is the dependent variable of all the paint of 300 liters.

Volume of paint that is to be bought = 300litre

Cost of paint =

C = 2×300 +70

C = 670

It costs about $670 for 300 liters of paint.

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Answer:

Third option (order:  n,-a,0,a,-n)

Step-by-step explanation:

We're told a<-n (a is less than -n), which means a should be before -n in the number line

Multiply a<-n by -1, and we get -a >n (inequality sign flips when multiplying by a negative) or -a is greater than n, which means -a should go after n in the number line

Since '-a' and 'a' are equal in magnitude just not in sign, both '-a' and 'a' should be the same distance from 0 on either side of the number line. Same for n and -n.

The only option that satisfies all the above conditions is the third one (order:  n,-a,0,a,-n)

Answer:

f(a²)=2x+2

f(x) .°. f(x)=f(a²)

f(x)=2x+2

x=2x+2

-2=2x-x

-2=x

.°. x=-2

Answer:

5,970

Step-by-step explanation:

3,980x.5+3,980

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

The cross marked at the points (-2.5 , -5) and  (0 , -1.5) is shown below .

The x and y coordinate helps in identifying a point in the coordinate axis and it is written as a ordered pair (x,y) .

where x represents the position of point with reference to the x-axis

and y represents the position of point with reference to the y axis .

In the question ,

points are given , we have to plot them and mark a cross .

Part(a)

point is (-2.5 , -5)

So , the x coordinate is -2.5

means the point is 2.5 units left from the origin  ,

and y coordinate is -5 .

means the point is 2.5 units down from the origin  .

the cross mark on the point is shown below .

Part(b)

point is (0 , -1.5)

So , the x coordinate is -2.5

means the point is 0 units units from the origin ,

and y coordinate is -1.5 ,

means the point is 1.5 units down from the origin  .

the cross mark on the point is shown below .

Therefore , The cross marked at the points (-2.5 , -5) and  (0 , -1.5) is shown below .

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Answer:

(-2, -4)

Step-by-step explanation:

Given the coordinate (x, y), if rotated 90degrees, counterclockwise, the resulting coordinate will be (-y, x)

For the coordinate (-4, 2)

When rotated 0 degrees  counterclockwise, the resulting coordinate will be at (-2, -4)

Note that the coordinates were switched and the x negated

The critical value of 38 sample and 0.05 level of significance is 1.6871.

What is critical value?

Critical value is cut-off point in t-distribution. Critical value in t-distribution can be known by using t table with this formula,

\(t_{\alpha,df}\)

df = degree of freedom = n - 1 = 38 - 1 = 37

α = level of significance = 0.05

Since the questions use conducted one tail for test, we use the one tail test row in t table. So, \(t_{0.05,37}\) is 1.6871.

Thus, the critical value of 38 sample and 0.05 level of significance is 1.6871.

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Answer: 1.247834e+15

Step-by-step explanation: Used Calculator

Answer:

there should be 14, 45 pound boxes

Step-by-step explanation:

1000-190= 810

810/45=14 boxes

Answer:

ASA, ASA, SAS, SSS

Step-by-step explanation:

i think this is it

Answer:

AsA

Step-by-step explanation:

The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.

To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.

These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.

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Answer:

20

Step-by-step explanation:

Count the number of scores there are.

The valid assumptions for constructing a confidence interval for the difference between two population means are: Data is Quantitative, Random Sample and Both sample sizes are greater than 30 or the data is from a Normal Distribution.

To answer your question, when constructing a confidence interval for the difference between two population means, certain assumptions must be met. These assumptions include:

1. Data is Quantitative: Since we are dealing with population means, the data should be quantitative, meaning it consists of numerical values. This is a correct assumption.
2. Data is from a Convenience Sample: This is not a valid assumption. To ensure the reliability of the confidence interval, data should be collected through random sampling, which ensures that each individual in the population has an equal chance of being included in the sample.
3. Random Sample: This is a correct assumption. A random sample is necessary to ensure the sample's representativeness and accuracy in estimating the population means.
4. Both sample sizes are greater than 30 or the data is from a Normal Distribution: This is a valid assumption. If both sample sizes are greater than 30, the Central Limit Theorem can be applied, which states that the sampling distribution of the sample means will be approximately normal. If the data is already from a normal distribution, the normality assumption is met.
5. Data is Categorical: This assumption is incorrect. As previously mentioned, the data should be quantitative for this analysis.
6. There are at least 15 successes and 15 failures: This assumption is not relevant for confidence intervals for the difference between two population means. This criterion is related to proportions rather than means.

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Answer:

90

Step-by-step explanation:

180 divided by 2 is 90

The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.

Consecutive numbers are those that always appear in the same order, from smallest to largest.

For instance:

The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.

consecutive odd numbers:

Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."

Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.

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In order for Janet's investment to increase to $10,000 in five years at a 4% yearly interest rate compounded monthly, she needs to put aside about $8,079.90 now.

For instance, if you put $1,000 in a bank account that offers 1% yearly interest, after a year you would have received $10 in interest. Compound interest allowed you to make 1 percent on $1,010 in Year Two, which amounted to $10.10 in interest payments for the year.

We can use the formula for compound interest to find how much Janet needs to invest now:

\(A=P\left(1+\frac{r}{n}\right)^{n t}\)

where:

A = the amount of money after the specified time period

P = the principal (the amount of money Janet needs to invest now)

r = the annual interest rate (4% = 0.04)

n = the number of times the interest is compounded per year (12, since it is compounded monthly)

t = the time period, in years (5)

Plugging in the values we get:

10,000 = P(1 + 0.04/12)⁽¹²*⁵⁾

Solving for P, we get:

P = 10,000 / (1 + 0.04/12)⁽¹²*⁵⁾

P ≈ $8,079.90

Therefore, Janet needs to invest about $8,079.90 now to grow to $10,000 in 5 years at a 4% annual interest rate compounded monthly.

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We measure time in increments of 60 minutes starting at 9 AM, the graph is displayed below.

In a graph, the coordinates show where a point is in relation to the x- and y-axes. The connection between the data plotted on the specified x-axis and y-axis is depicted by the coordinates in a graph.

We've got, the table's coordinates.

(Time, Climate) = (x, y)

From nine in the morning, we will count the time as 60 minutes.

So, 10 am ≈ 60 minutes

11 am ≈ 120 min.

12 am equals 180 minutes.

1 pm equals 240 minutes.

300 minutes equals 2 pm.

360 minutes are at 3 pm.

420 minutes are at 4 pm.

So, (60, 8), (120, 11), (180, 16), (240, 27), (300, 31), (360, 38), (420, 6), (240, 27), (300, 31), (360, 38),(420, 41)

Now, the locations can be graphed as seen below.

Thus, We measure time in increments of 60 minutes starting at 9 am.

The graph is displayed below.

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Complete question is displayed below:

From the given figure, we can say that it is a relation as 0 is input for both -2 and 1.

What is the Onto function ?

Onto function can be defined as the function in which the range is equals to codomain.

We know that relation  can be defined as the relationship between sets of values and it is denoted by R.

And Function can be defined as the it is a relation where with only one output to each input.

From the given figure,

(0,-2) (0,1) (1,2) (2,1) (3,4) are the ordered pairs and here 0 is input for both -2 and 1
Hence , From the given figure, we can say that it is a relation as 0 is input for both -2 and 1.

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Answer:

Angles forming a triangle sum to 180°