Ben scores 56 out of 79 marks in a maths test.
What is his score as a percentage to 1 decimal place?

Assuming exponential growth, we can determine the year in which the population of the US is expected to exceed 350 million based on the given population values in 2000 and 2013. By using the exponential growth formula and solving for the unknown variable, we can estimate the year. Additionally, it is crucial to consider the growth rate derived from the given data to make accurate predictions.

To estimate the year when the US population is expected to surpass 350 million, we can use the exponential growth formula: P(t) = P0 * e^(rt), where P(t) represents the population at time t, P0 is the initial population, e is the base of the natural logarithm, r is the growth rate, and t is the time elapsed.

Using the given population values, we can determine the growth rate (r) by rearranging the exponential growth formula: r = ln(P(t)/P0) / t.

Substituting the values for P0, P(t), and t into the growth rate formula, we can calculate the growth rate. With the growth rate determined, we can then rearrange the exponential growth formula to solve for the unknown variable t, representing the number of years.

By substituting the values of P0, P(t), and the known growth rate into the rearranged exponential growth formula, we can solve for t and determine the number of years required for the population to exceed 350 million. Adding this time to the initial year (2000), we can estimate the year in which the population is expected to surpass 350 million.

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Answer:

D.4

Step-by-step explanation:

Answer:

y = 4x-1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x+b

Substitute the point in and solve for b

3 = 4(1)+b

3 = 4+b

3-4 = b

-1 =b

y = 4x-1

Answer:

y = 4x - 1

Step-by-step explanation:

y = mx + b

y = 4x + b

3 = 4(1) + b

3 = 4 + b

b = -1

y = 4x - 1

Answer:

Police officers, whether plain-clothed or uniformed, carry a variety of equipment with them on service calls. Police in uniform carry much more equipment than those in plain clothes, and members of special operations teams, such as SWAT and crowd-control units, carry even more, sometimes including full body armour complete with helmet, leg pads, and shield.

Step-by-step explanation:

hope it helped!

p.s it would be cool it you would give me brainliest

Biblical tithing basically means you will give 10 percent of your income to the lord.The word tithe refers to "tenth" or "tenth part," so biblical tithing implies offering one-tenth of one's income to the church.

Biblical tithing is the method of giving the first fruits of one's labor to the Lord. Tithing originated from the Old Testament in which people would offer 10% of their harvest to the Lord.Tithing is a way of giving back to God as well as to others, according to the Bible.

As a result, Christians are required to tithe a tenth of their earnings. While this might appear to be a significant amount of money, if Christians can trust God with their finances, they can discover that he blesses them in ways they never imagined. In the New Testament, there is no specific requirement to tithe, but Christians are urged to give generously to the church and those in need.

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The theoretical probability of spinning green on the spinner, divided into 4 equal-size sections colored red, green, orange, and blue, is ¼ or 25%.

In this scenario, the spinner has four equal-size sections. Since each section is of equal size, the probability of landing on any specific section is the same. Therefore, the probability of spinning green, which is one out of the four possible outcomes, is 1/4 or 25%.

To calculate the theoretical probability, we divide the favorable outcomes (spinning green) by the total possible outcomes. In this case, there is one favorable outcome (green) out of four possible outcomes (red, green, orange, and blue), resulting in a probability of 1/4 or 25%.

It's important to note that theoretical probability is based on the assumption of equally likely outcomes and assumes a large number of trials. In practice, actual outcomes may deviate from theoretical probabilities due to factors like imbalances in the spinner or inherent randomness.

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1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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a) The value of c is f a probability density function will be c = 1/pi.

b)  that value of c, find P(-1) will be pi/2.

The value of c that makes f(x) a probability density function is:

c = 1/pi

a) For f(x) to be a probability density function, it must satisfy the following two conditions:

f(x) must be non-negative for all x.

The integral of f(x) over the entire real line must equal 1.

Let's first check the second condition:

Integral from negative infinity to positive infinity of \([c/(1+x^2)] dx = c * [arctan(x)]\)from negative infinity to positive infinity =\(c * [pi/2 + (-pi/2)] = c * pi.\)

So for the integral to equal 1, we must have:

c * pi = 1

Therefore, the value of c that makes f(x) a probability density function is:

c = 1/pi

b) To find P(-1<x<1), we need to integrate f(x) over the interval (-1, 1):

Integral from -1 to 1 of [c/(1+x^2)] dx = [arctan(x)] from -1 to 1 = [arctan(1) - arctan(-1)] = pi/2.

So, \(P(-1 < x < 1) = pi/2.\)

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Answer:9

Step-by-step explanation:because when we add 7+7+6+6=26 then we will going to 35-26= 9 im not sure so don’t hate me if it was wrong

Answer:

34.8

Step-by-step explanation:

Cross multiply and divide will help you find the solution.

Discounted price: 60% / 100% and X / Radio:$58

Put them side by side and multiply 58 by 60 then divide by 100 and that will be the amount the discounted item is, we are not using the 40 because thats the amount that is taken off of the radio not the cost of the discounted radio itself.

Answer:

f(6) = 3(6) - 9

Step-by-step explanation:

y = 3(6) - 9

y = 18 - 9

y / f(x) = 9

Answer:

The residual value when x = 4 is 0.58

Step-by-step explanation:

The residual value of a fitted function is the difference between the actual value of the data for a given input and the result of the fitted function. On this problem for the actual values, when \(x = 4\) we have \(y_{data} = 7.3\) , although, for the fitted function on the same value of "x", we have a different value, which is calculated below:

\(y(4) = 2.78*4 - 4.4 = 6.72\)

The residual value is:

\(\text{residual value} = y_{data} - y_{function} = 7.3 - 6.72 = 0.58\)

The residual value when x = 4 is 0.58

Functions are written in terms of variables.  The residual value when the value of x is 4 is 0.58

Functions are written in terms of variables. Given the following function that represent the data in the table

y = 2.78x – 4.4

If the value of x is 4, the corresponding value of y is expressed as:

y = 2.78(4) – 4.4

y = 11.12 - 4.4

y = 6.72

Determine the residual value

Residual value = 7.3 - 6.72

Residual value = 0.58

Hence the residual value when the value of x is 4 is 0.58

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18≤n≤38 is absolute value inequality for the problem

Answer:

the answer is 124

Step-by-step explanation:

the answer is 124

On a distance-time graph, a constant slope indicates a constant speed or velocity. The slope of a line on a distance-time graph represents the rate of change of distance with respect to time.

If the slope remains constant, it means that the distance covered per unit of time is consistent throughout the entire duration represented by the graph.

When the slope is constant, it implies that the object or subject being represented is moving at a steady pace. This means that for each unit of time, an equal amount of distance is covered. For example, if the slope of the graph is 2, it indicates that for every unit of time (e.g., 1 second), the object or subject is covering 2 units of distance (e.g., 2 meters).

A constant slope can also suggest uniform motion, where the speed remains constant without any acceleration or deceleration. In this case, the object is moving at a steady rate, maintaining the same speed throughout the given time interval.

It's important to note that the slope's magnitude doesn't provide information about the actual speed; it only indicates that the speed remains constant. The actual speed can be determined by examining the scale and units on the graph.

In summary, a constant slope on a distance-time graph indicates that the object or subject is moving at a constant speed or velocity, covering the same amount of distance per unit of time, suggesting either uniform motion or a steady pace.

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I think it is six thats what i got

Answer:

6 units²

Step-by-step explanation:

Since the triangle is reflected they should have the same length sides (triangles are congruent) so you would use the length they give you for side AC in the first triangle and the length of the side AB in the second triangle to determine the area

Area= ½ base × perpendicular height

=½4 ×3

=6 units²

Answer:

m'=7

Step-by-step explanation:

they are parallel to each other so if slope of 1st line be "m" and 2nd line as "m' ", then we have:

m = m'

y-4=7x+14

y=7x+18

y=mx+h

So m = 7

& m' = 7

Answer:

$195.30

Step-by-step explanation:

350 x 0.6 = 210

210 x 0.93 = 195.3

a) The dimensions of the missing face is 10 x 5 cm.

b) The four edges that the missing face can be attached are: A, B, C and H.

The net of a given shape is the figure formed when all its surfaces are spread out on a 2 dimensional plane. The shape is reproduced when the net is folded as require.

A cuboid if a 3 dimensional shape that is produced from a rectangle. Such that it has length, width and height.

In the given net of a cuboid, it can be deduced that;

a. The dimension of the missing face is that similar to F, such that it is 10 x 5 cm.

b. The four edges that the missing face could be attached to should be A, B, C and H. This is the closed end of the cuboid.

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To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

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Answer:

60

Step-by-step explanation:

Null Hypothesis that is, the average errors for two processes differ significantly.

Two options being the same is the null hypothesis in inferential statistics. That the observed discrepancy is solely the result of chance is the null hypothesis. Calculating the probability that the null hypothesis is correct using statistical testing is achievable.

Always indicate the "null hypothesis" with an equal sign, and the alternative with a less-than, greater-than, or not equal sign. The researcher is looking for evidence that the two methods/processes produce different average errors since this alternative statement contains the not equal to symbol.

Hence, the correct pair of “null and alternative” hypotheses is given by,

\(Null Hypothesis(H0): UA = UB versus\\ H1: UA \neq UB; that is, the average .errors. for .two .processes .differ .significantly.\)

\("H0: UA = UB H1: UA \neq UB"\)

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Answer:

y value

Step-by-step explanation:

The line of best fit refers to a straight line that represents the trend or relationship between two variables in a scatter plot. It is determined by minimizing the sum of the squared horizontal distances between each data point and the line.

In statistical analysis, the line of best fit, also known as the regression line, is used to approximate the relationship between two variables. It is commonly employed when dealing with scatter plots, where data points are scattered across a graph. The line of best fit is drawn in such a way that it minimizes the sum of the squared horizontal distances from each data point to the line.

The concept of minimizing the sum of squared distances arises from the least squares method, which aims to find the line that best represents the relationship between the variables. By minimizing the squared distances, the line is positioned as close as possible to the data points. This approach allows for a balance between overfitting (fitting the noise in the data) and underfitting (oversimplifying the relationship).

The line of best fit serves as a visual representation of the overall trend in the data. It provides a useful tool for making predictions or estimating values based on the relationship between the variables. The calculation of the line of best fit involves determining the slope and intercept that minimize the sum of squared distances, typically using mathematical techniques such as linear regression.

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Answer:

43/36 or 1 7/36 or 1.194

Answer:

1 47/50

Step-by-step explanation:

Easy Way:

5/12 = 0.416666666667

7/9 = 0.777777777778

0.416666666667 + 0.777777777778 = 1.19444444444

Decimal form: 1.19444444444

As a Fraction: 19444444444/10000000000

Simplified Fraction: 1 47

/50

<3 Enjoy,

    Dea

Answer:

If three dogs can eat three bones in three days, we can assume that each dog eats one bone in three days. Therefore, in one day, one dog can eat one-third of a bone.

If nine dogs were to eat in the same efficiency, we can multiply the number of dogs by the fraction of bones each can eat per day. So, nine dogs can eat 3 times more than 3 dogs in a day, which is 3 x 3 = 9 bones. In one day, each dog can eat one-third of the bone, and therefore nine dogs will eat 9 x 1/3 = 3 bones.

This means that in nine days, nine dogs can eat 9 x 3 = 27 bones.

Answer:

B & D because someone had the same exact question but with a picture

Step-by-step explanation:

Answer:

2/9 each

Step-by-step explanation:

2/3 would be left from neisha, therefore 2/3 divided by three = 2/9.

The most the salon would be willing to pay that groomer is $25×4 = $100.

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

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