What is the estimate 323 +151

Answers

Answer 1
There are multiple ways of doing this.  I would round off 323 to 300 and round off 151 to 150.  Then 323 + 151 is approx. equal to  300 + 150 = 450.

You could also find the estimate 320 + 150 = 470.

Related Questions

F=9/5C+32 What Does C And F represent

Answers

C represents Celsius and F represent Fahrenheit.

Hope this helps!
The is the formula for converting Celsius to Fahrenheit. F stands for Fahrenheit and C stand for Celsius.

Find the thirtieth term of the following sequence.
-6, -4, -2, 0, ...

Answers

so hmm -6, -4, -2, 0?  what the heck is going on?

well, from -6 to -4, is really a +2 "difference", and from -4 to -2 is the same amount.  So to get the next term's value, you simply "add 2", therefore, 2 is the "common difference" in this arithmetic sequence.

let's also notice that -6 is our first fellow.

[tex]\bf n^{th}\textit{ term of an arithmetic sequence}\\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ ----------\\ d=2\\ a_1=-6\\ n=13 \end{cases} \\\\\\ a_n=-6+(13-1)2\implies a_{13}=-6+(13-1)2 \\\\\\ a_{13}=-6+(12)2\implies a_{13}=-6+24\implies a_{13}=18[/tex]

Answer: 52

Step-by-step explanation:

To find the 30th number sequence with the given values of: -6,-4,-2,0.

Multiply 30 by 2 because we add 2 to the sequence every time we go up.

30*2 gives us 60, then we subtract however many 2's were in the given sequence.

From -6 to -4 to -2 to 0, we get 8.

60-8 = 52.

Thank you and I hope this helps. Even if my math is wrong somewhere, I got the answer right on my assignment so this is 100% correct.

20.301_____ 20.31 is this equal or greater

Answers

20.31 is the same as 20.310

So, 20.301 is less than 20.310

Find the perimeter of the following rectangle. Write your answer as a mixed number in simplest form. Be sure to include the correct unit in your answer. length is 7/10 and 2 1/4

Answers

the answer to  the question is 2 4/7

Forty percent of all registered voters in a national election are female. a random sample of 5 voters is selected. the probability that there are no females in the sample is

Answers

To calculate the probability of selecting no female voters in a sample of 5, given that 40% of the registered voters are female, we multiply the probability of selecting a male voter (60%) five times, which equals to (0.6)⁵ or 7.776% probability.

The question involves calculating the probability that none of the five randomly selected voters are female, given that 40% of registered voters are female. To find this probability, we need to use the complementary probability, which is the probability of the opposite event occurring (that is, selecting a male voter).

The probability of selecting one male voter randomly is 60% (or 0.6), as females account for 40% of the registered voters. When we select 5 voters independently, we multiply the individual probabilities together because the events are independent. Therefore, the probability of selecting no female voters in 5 trials is calculated as:

(0.6) × (0.6) × (0.6)  × (0.6) × (0.6) = (0.6)⁵ = 0.07776 or 7.776%.
This is the probability that a random sample of 5 voters will contain no females.

What is 3/7 divided by 6?

Answers

3/7 ÷ 6 = 1/14. 

1.) Divide a fraction by an integer:37 ÷ 6 = 37× 6 = 342

2.) Simplify a fraction:

342 = 1 × 314 × 3 = 114

3/7 divided by 6 is equal to 1/14.

To divide 3/7 by 6, you can multiply the numerator (3) by the reciprocal of the denominator (6).

The reciprocal of 6 is 1/6.

So, (3/7) divided by 6 can be calculated as:

(3/7) × (1/6)

= (3 × 1) / (7× 6)

= 3/42

Divide numerator and denominator by 3:

= 1/14

Therefore, 3/7 divided by 6 is equal to 1/14.

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how to solve x^2-4y^2=7

Answers

It is impossible to solve for both variables without a second equation.

Charlie is making a scale model of his kitchen. If the kitchen measures 12 feet by 11 feet, and his scale is two inches = three feet, what is the scale measure of the kitchen? Round to the nearest tenth.

A. 8 in by 7.3 in

B. 18 in by 16.5 in

C. 0.5 in by 0.4 in

D. 10 in by 9 in

Answers

I believe that the answer is A. If you need any help with how to show work I'd be happy to help you in the comments :0 hope this helps!

Answer:

Option A. is the answer.

Step-by-step explanation:

Charlie is making a scale model of his kitchen.

The kitchen measures 12 feet by 11 feet.

We can use the unitary method to get the scale measures.

Since his scale is 3 feet = 2 inches.

So 1 feet = [tex]\frac{2}{3}[/tex] inches

and 12 feet = [tex]\frac{(2)(12)}{3} = 8[/tex] inches

Similarly 11 feet = [tex]\frac{(11)(2)}{3}=7.3[/tex] inches

Therefore, scale measures of the kitchen will be = 8 in by 7.3 in

Option A. is the correct answer.

A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet. To the nearest whole unit, what is the area of the canvas, including the floor? Use 3.14 for π.

Answers

Answer:

The area of the canvas, including the floor is 1548 sq. feet.          

Step-by-step explanation:

Given : A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet.

To find : What is the area of the canvas, including the floor?

Solution :  

A conical tent made of canvas has a base that is 34 feet.

The diameter of the base is D=34 feet.

The radius of the base is [tex]r=\frac{34}{2}=17[/tex]

The slant height l=12

The area of the canvas, including the floor is

[tex]A=\pi r l+\pi r^2[/tex]

[tex]A=\pi r(l+r)[/tex]

[tex]A=3.14\times 17(17+12)[/tex]

[tex]A=3.14\times 17\times29[/tex]

[tex]A=1548.02[/tex]

In nearest whole unit, A=1548 sq. feet.

Therefore, The area of the canvas, including the floor is 1548 sq. feet.

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Which are the solutions of the quadratic equation?

x2 = 9x + 6



Answers

Final answer:

The solutions of the quadratic equation x^2 = 9x + 6 are (9 + sqrt(105))/2 and (9 - sqrt(105))/2.

Explanation:

To find the solutions of the quadratic equation x^2 = 9x + 6, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b +- sqrt(b^2 - 4ac)) / (2a)

In this case, a = 1, b = -9, and c = -6. Plugging in these values, we get:

x = (-(-9) +- sqrt((-9)^2 - 4(1)(-6))) / (2(1))

Simplifying further:

x = (9 +- sqrt(81 + 24)) / 2

x = (9 +- sqrt(105)) / 2

So the solutions of the quadratic equation x^2 = 9x + 6 are:

x = (9 + sqrt(105)) / 2

x = (9 - sqrt(105)) / 2

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Final answer:

The solutions to the quadratic equation x² = 9x + 6 are x = 3 and x = 6. This is done by rearranging the equation and then factoring into two binomials (x - 3) and (x - 6) equals 0, then set each binomial equal to zero.

Explanation:

The given quadratic equation is x² = 9x + 6. To find the solutions of the quadratic equation, we first move all the terms to one side. This gives us: x² - 9x - 6 = 0. This is now a standard quadratic equation, and can be solved by either factoring or using the Quadratic Formula.  

If we opt to solve via factoring, we're looking to factorize the original expression into two binomial expressions, essentially looking for two numbers which both add up to -9 and multiply to -6. These two numbers are -3 and 6. Therefore, the quadratic equation can be factored as follows: (x - 3)(x - 6) = 0. Setting each factor equal to 0 gives the possible solutions for x, in this case, x = 3 and x = 6.

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Estimate the area of the irregular shape. Explain your method and show your work. Can someone explain this to me?

Answers

It looks like a messed up drawing of a trapezium so imma assume its a trapezium, so
(7+4)*0.5*5= 27.5 units squaree

Answer:

Approximate area: 27.5 square units

Step-by-step explanation:

The irregular shape is very similar to a trapezium with coordinates (-3,3), (2, 2), (2, -2) and (-3, -4).

Area of a trapezium: [(a+ b)/2]*h

where a and b refer to the two parallel sides and h is the distance between them. From the above coordinates: a = 7 length units, b = 4 length units and h = 5 length units. Therefore, approximate area = [(7+ 4)/2]*5 = 27.5 square units

From a sample of 500 items, 30 were found to be defective. the point estimate of the population proportion defective will be

Answers

Final answer:

The point estimate of the population proportion defective, given 30 defects in a 500 item sample, is 0.06 or 6%.

Explanation:

The point estimate of the population proportion defective can be calculated by dividing the number of defective items in the sample by the total number of items in the sample.

In this case, there are 30 defective items out of a sample of 500 items.

So the point estimate of the population proportion defective is:

Point estimate = Number of defective items / Total number of items

Point estimate = 30 / 500 = 0.06

Lesley raised $25 for the food bank last year and she raised 8 times as much money this year how much money did she raise this year

Answers

Lesley raised $200 dollars. To do this just multiply 25 and 8.

How many diameters can a circle have?

Answers

1. But you are actually counting how many lines across a circle can have, then it is infinite.
a circle will never have an exact number of diameters because it is a perfect round circle. you can draw a perfect circle and draw lines across from each angle you will never stop. that is why it will never have an exact number of diameters because it is infinite.

one stae leads the country in tart cherry production producing 78 out of every 100 tart cherries each year what percent of tart cherries are produced in this state

Answers

78% tart cherries are produced in this year
Final answer:

The state in question produces 78% of the country's total annual tart cherry production.

Explanation:

The state in question produces 78 out of every 100 tart cherries annually, which is the same as 78 out of 100 or 78/100. When written as a fraction, this can be turned into a decimal by dividing the numerator (78) by the denominator (100). This will give 0.78. To convert this decimal into a percentage, we then multiply by 100 which leads to 78%. This means the state produces 78% of the total tart cherries grown in the country each year.

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A college professor noted that the grades of his students in an introductory statistics class were normally distributed with a mean of 76.5 and a standard deviation of 9. if 67.36% of his students received grades of c or above, what is the minimum score of those students receiving a grade of at least a c?

Answers

Final answer:

Using the properties of normal distribution and the Z-score related to the given percentile, it can be inferred that the minimum grade for a 'C' in this college statistics class is approximately 72.

Explanation:

In this scenario, the professor's grades reflect a normal distribution, therefore, we can utilize the properties of normal distribution to answer your question. The probability given, 67.36%, corresponds to a Z-score of -0.45 (you can find this in standard statistical tables).

We'll utilize the formula Z = (X - μ) / σ, Z is the Z-score, X is the data point, μ is the mean, and σ is the standard deviation. Therefore, if we rearrange the formula to find X (the data point,or in this case, the lowest grades for students receiving a C or above), it will be X = Z * σ + μ. Substituting the given values in the equation gives X = -0.45 * 9 + 76.5. This results in a minimum score approximately equal to 72.45, or 72 if we consider only whole marks. Hence, our conclusion that the minimum grade for a 'C' is 72.

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The minimum score required to receive at least a grade of C in this normally distributed class is approximately 72.54.

To determine the minimum score that students need to receive at least a grade of C in a class where grades are normally distributed, we analyze the problem with a mean [tex](\mu)[/tex] of 76.5 and a standard deviation [tex](\sigma)[/tex] of 9.

We know that 67.36% of the students received a grade of C or above.

This corresponds to the top 67.36% of the distribution.

The bottom 32.64% of the distribution received less than a C.

The z-score associated with the 32.64th percentile can be found using z-tables or a standard normal distribution calculator:

z = -0.44

Next, we convert this z-score to the actual score using the formula:

[tex]X = \mu + z\cdot \sigma[/tex]

Substituting the given values:

X = 76.5 + (-0.44 * 9) = 76.5 - 3.96 = 72.54

Thus, the minimum score required for a grade of at least C is approximately 72.54.

A bag contains 1 gold marbles, 6 silver marbles, and 30 black marbles. Someone offers to play this game: You randomly select on marble from the bag. If it is gold, you win $4. If it is silver, you win $2. If it is black, you lose $1. You can expect to lose an average of ________ cents every time you play. (round to the nearest cent)

Answers

you have a 30 out of 37% chance  so i would say 53 cents
i hope this helps at least a little

good luck!

Factor 27x+9y
using the GCF.

Answers

The GCF of this would be...

27x + 9y

9 ( 3x + y)

To check... Multiple the back 

9 ( 3x + y)

27x + 9y

The greatest common factor for the expression  27x+9y will be 9.

What is the greatest common factor?

The highest number that is a factor of all the numbers is known as the greatest common factor of two or more numbers. The largest factor that splits both numbers is said to be the greatest common factor.

List the prime factors of each integer before calculating the greatest common factor.

It is given that the expression is,

27x+9y

We can take out 9 commons in the expression because it does not affect the expression,

The greatest common factor is,

9( 3x + y)

We obtain 9 as the value that we can take commonly from the complete expression. As a result, it is the greatest common factor.

Thus, the greatest common factor for the expression  27x+9y will be 9.

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If $3000 is deposited in an account that pays 5% interest, what is the difference in the amount after 4 years between the amount earned if the principal is compounded annually and the amount earned calculated using simple interest?


A. $30.72

B. $41.12

C. $46.52

D. $53.76

Answers

[tex]\bf \qquad \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$3000\\ r=rate\to 5\%\to \frac{5}{100}\to &0.05\\ t=years\to &4 \end{cases} \\\\\\ A=3000(1+0.05\cdot 4)\implies \boxed{A=3600}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$3000\\ r=rate\to 5\%\to \frac{5}{100}\to &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years\to &4 \end{cases}[/tex]

[tex]\bf A=3000\left(1+\frac{0.05}{1}\right)^{1\cdot 4}\implies A=3000(1.05)^4\implies \boxed{A=3646.51875}\\\\ -------------------------------\\\\ \stackrel{\textit{compounded interest}}{3646.51875}~~-~~\stackrel{\textit{simple interest}}{3600}[/tex]

nearly 4 of 5 people choose vanilla as their favorite ice cream flavor. if 120 people attend an ice cream social, how many would you expect to choose vanilla?

Answers

Proportion:
x/182 = 4/7
---
x = 182(4/7)

---
x = 26*4
x = 104

Find the reference angle when o= 420 degrees

A) 30 degrees
B) 45 degrees
C) 50 degrees
D) 120 degrees

Answers

Consider the unit circle, with the number of degrees, from 0 to 360, describing the counterclockwise rotation. 360 degrees is one complete revolution (back to the original point, 0°). Therefore, let's subtract 360 from 420 to see where we would end up on the unit circle:
420 - 360 = 60° 
In the first quadrant (0 - 90° on the unit circle), the reference angle is equal to the angle itself. In this case, the reference angle is 60°. Answer is not included, which indicates there may be an transcription error in the problem.

Find the dimensions of a triangle given the following information. The perimeter is equal to 36cm, side 1 is 4 less than side 2 and side 3 is twice the length of side 2.

Answers

check the picture below.

so what are the lengths of the 1st and 3rd side anyway?  well x - 4 and 2x.

Jim has half a pizza left over from dinner. If he eats of this for breakfast, what fractional part did he eat for breakfast

Answers

namely, how much is 1/4 of 1/2?  well is just their product   [tex]\bf \cfrac{1}{4}\cdot \cfrac{1}{2}\implies \stackrel{of~the~pizza}{\cfrac{1}{8}}[/tex]

explain why counting by tens might be faster than counting by ones

Answers

It might be faster
Because when you count by tens you are going 10 20 30 40 50 but with ones in the same time it would be 1 2 3 4 5
You'd be skipping the numbers in between 0 to 10 when you're counting by 10's.
So it would be 0, 10, 20, 30 compared to counting by 1's,
0,1,2,3,4,5,6,7,8,9,10,11,12,13,14.... it appears longer, you would have to say each individual number in between the tens, so it would take longer.

Seven weightlifters are competing in the dead-lift competition. In how many ways can the weightlifters finish first, second, and third ( no ties)?

Answers

I think the answer is 21 you just multiply the number of weightlifters by the number of places so 7 x 3.

The _______ form of a quadratic equation is written y = a(x - h)2 + k

Answers

That is the vertex form of a quadratic equation

Answer:

Correct Answer: vertex form

Step-by-step explanation:

"to find x in part a, you would need" to solve the equation x 2 – 25 =0. wh

Answers

x2 - 25 = 0

Add 25 on each side.

x2 = 25

Divide by 2 on each side.

x = 12.5

There are 25 squares in the pattern. What fraction of the squares have these number of edges free?

Answers

The answer is one fifth
The answer to this question is 1/5 .

a baseball team plays 83 games in a season. if the team won 17 more than twice as many as they lost how many times did the did lose?

Answers

Final answer:

By creating an equation based on the information provided and solving for L, which represents the number of games lost, it was determined that the baseball team lost 22 games during the season.

Explanation:

To determine how many games the baseball team lost during the season, let us denote the number of lost games as L. The problem states that the baseball team won 17 more than twice the number of games they lost, which can be expressed as 2L + 17. Since the team played a total of 83 games in the season, we have the following equation to represent the total number of games played:

L + (2L + 17) = 83.

Combining like terms, we get:

3L + 17 = 83.

Now, subtract 17 from both sides of the equation:

3L = 66.

Then, we divide both sides of the equation by 3:

L = 22.

So, the baseball team lost 22 games during the season.

Final answer:

To find the number of times the team lost, set up an equation using the given information. The team won 17 more than twice the number of times they lost. The team lost 22 times.

Explanation:

To find the number of times the team lost, we can set up an equation using the given information.

Let's assume the number of times the team lost is x.

According to the given information, the team won 17 more than twice the number of times they lost. So, the number of times the team won is 2x + 17.

The total number of games played is 83, which is the sum of the number of games won and lost.

So we have the equation 83 = x + (2x + 17).

Simplifying this equation, we get 83 = 3x + 17.

Subtracting 17 from both sides, we have 66 = 3x.

Dividing both sides by 3, we get x = 22.

Therefore, the team lost 22 times.

A publishing company has a weekly cost equation of C=96,000+20x and a weekly revenue equation of R=26​x, where x is the number of books produced and sold in a week. The company loses money when R

Answers

Sent a picture of the solution to the problem (s).

To find when a publisher makes or loses money, compare the cost function C=96,000+20x to the revenue function R=26x. The break-even point is at x=16,000 books produced and sold weekly. Below this, the company incurs losses.

When determining when a publishing company makes or loses money, we investigate the relationship between cost and revenue functions. The cost function given is C=96,000+20x and the revenue function is R=26x, with x representing the number of books produced and sold per week. A company loses money when costs exceed revenues, that is when C > R.

To find the quantity of books where this happens, we equate the two equations:

C = R96,000 + 20x = 26x96,000 = 26x - 20x96,000 = 6xx = 96,000 / 6x = 16,000

Therefore, at the production and sale of 16,000 books, the company will break even. Producing fewer than 16,000 books would result in a loss because the cost would be higher than the revenue generated.

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