Which set of ordered pairs is shown in this scatter plot?

Question 17 options:

(6,4) (4,6) (1,3) (2,5) (1,6) (3,6)


(6,-4) (4,-6) (1,-3) (2,-5) (1,-6) (3,-6)


(-6,4) (-4,6) (-1,3) (-2,5) (-1,6) (-3,6)


(4,6) (6,4) (3,1) (2,5) (1,6) (3,6)

Answer:

The given question is incomplete.

The set of numbers should be : -11, -5/6, 0, 0.75, \($\sqrt5$\), \($\pi$\), \($\sqrt{64}$\),

Step-by-step explanation:

a). Natural numbers : Natural numbers starts form 1  up to positive infinity. They are non negative integers.

The numbers are : \($\sqrt{64}$\)

b). Whole numbers : Whole numbers are numbers which starts from 0 to positive infinity.

The numbers are : 0, \($\sqrt{64}$\)

c). Integers : Integers are both positive and negative numbers including 0. But they are not fractional numbers.

The numbers are : -11, 0, \($\sqrt{64}$\)

d). Rational numbers : The rational numbers are the whole numbers or may be fractions which are represented by divisions of any two integers, in the form of m/n.

The numbers are : -11, -5/6, 0, 0.75, \($\sqrt{64}$\)

e). Irrational numbers: Irrational numbers are those numbers numbers which cannot be written in a fraction form. They are not rational numbers

The numbers are : \($\sqrt5, \pi$\)

f). Real numbers : Real numbers are those numbers which do not have any imaginary component in it.

The numbers are : -11, -5/6, 0, 0.75, \($\sqrt5$\), \($\pi$\), \($\sqrt{64}$\),

Answer:  3

Step-by-ste3p explanation:

To evaluate the given integral, the most helpful substitution is x = 15 sec θ. The rewritten integral will be dx = 15 sec θ tan θ dθ / (225 + 225 sec² θ)².

In trigonometric substitution, we choose a substitution that simplifies the integral by transforming it into a form that can be easily evaluated using trigonometric identities. In this case, the most helpful substitution is x = 15 sec θ.

To rewrite the integral, we need to express dx in terms of θ. Since x = 15 sec θ, we can differentiate both sides with respect to θ to find dx. The derivative of sec θ is sec θ tan θ, so we have dx = 15 sec θ tan θ dθ.

Substituting this expression for dx and rewriting (225 + x²)² in terms of θ, we obtain:

∫(x² dx) / (225 + x²)² = ∫[(15 sec θ)² (15 sec θ tan θ dθ)] / (225 + (15 sec θ)²)².

Simplifying further, we get:

∫(225 sec² θ tan θ dθ) / (225 + 225 sec² θ)².

This is the rewritten form of the integral using the substitution x = 15 sec θ.

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The dimensions of the box that minimizes the total cost is side of the square base is 7.23 m and height of the box is 4.82 m   .

In the question ,

it is given that ,

the bottom of the box is =  square ,

let the side of the square bottom be = "s" ,

so , the base area \(=\) s²

let the height of the box \(=\) h ,

Volume of the box = height × (base area)

So , the Volume of the box \(=\) s²h

given that the volume of the box is 252 m³ , that means

s²h = 252

h = 252/s²

given that the Cost of bottom = $40 per m²

and the Cost of sides = $30 per m²

So , the total cost = 40s² + 30×(4sh)

substituting the value of h= 252/s² , we get

C = 40s² + 120s×252/s²

C = 40s² + 30240/s

to minimize the cost we differentiate with respect to s , and equating it  to 0 ,

we get ,

80s - 30240/s² = 0

s³ = 30240/80

s³ = 378

s = 7.23
again differentiating C = 40s² + 30240/s with respect to s , and equating it  to 0 ,

we get ,

d²C/ds² = 80 + (30240*2)/s³

at s=7.23 , d²C/ds² > 0

So , the minimum is at s = 7.23 ,

we have h = 252/(7.23)²

h = 4.82 .

Therefore , The dimensions of the box that minimizes the total cost is side of the square base is 7.23 m and height of the box is 4.82 m   .  

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A B E are the answers

Answer:

Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.

Answer:

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations.

Answer:

12

Step-by-step explanation:

the angle is defined by equation ((n-2)*180)/n,where n is number of sides of a regular polygon

so here 180n-360=150n

30n=360

n=12

Answer:

xxxxxxzzzjjznzjsbsbsbshj

Step-by-step explanation:

sekjxhxjdjdknxxbbxjdkekmdkdkddo

Answer:

4.0 hope this helps!!6

Answer:

3 sketch oads and 2 pencil

Step-by-step explanation:

I hope this can help you

The following statements are generally true: The sample is smaller than the population: A sample of 30 voters is significantly smaller than the total population of 5,200 registered voters.

1.Random sampling assumption: It is assumed that the sample was randomly selected from the population, meaning that each registered voter had an equal chance of being included in the sample.

2.Representativeness: The sample is expected to provide a representative snapshot of the population's characteristics and opinions. However, the accuracy of this representation depends on the quality of the sampling method and potential biases.

3.Margin of error: The sample is subject to sampling error, and the results may deviate from the population values. A larger sample size generally reduces the margin of error, making the estimates more reliable.

4.Confidence level: Statistical methods can be used to calculate a confidence interval that quantifies the uncertainty around the sample estimates. Higher confidence levels require larger sample sizes.

5.Generalizability: The findings from the sample can be used to make inferences about the population as a whole, although the precision of these inferences depends on the sample size and representativeness.

It's important to note that the accuracy and reliability of the findings depend on various factors such as the sampling method, potential biases, and the specific characteristics of the population being studied.

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Answer:

14.58

Step-by-step explanation:

Answer:

It would be 14.58.

Tim's expenditure on purchasing pounds, including the exchange rate and commission, amounted to around £666.25.

To calculate how much Tim spent to buy the pounds, we need to consider the exchange rate and the commission charged by the foreign exchange desk.

First, let's calculate the amount Tim received in the foreign currency:

Amount in foreign currency = Amount in pounds * Exchange rate

Amount in foreign currency = £650 * R15.66

Next, we need to account for the commission charged by the exchange desk. The commission is calculated as a percentage of the amount in pounds:

Commission = Commission rate * Amount in pounds

Commission = 2.5% * £650

To find out how much Tim spent in total, we need to add the commission to the amount in pounds:

Total spent = Amount in pounds + Commission

Now, let's calculate each component:

Amount in foreign currency = £650 * R15.66

Amount in foreign currency ≈ R10,179

Commission = 2.5% * £650

Commission ≈ £16.25

Total spent = £650 + £16.25

Total spent ≈ £666.25

Therefore, Tim spent approximately £666.25 to buy the pounds, taking into account the exchange rate and the commission charged by the foreign exchange desk.

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An apple cost $1.2 and the orange cost $1.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this situation, she bought 5 apples and 4 oranges for $10. This will be 5a + 4o = 10

The friend bought 5 apples and 5 oranges for $11. This will be 5a + 5o = 11

Equate the equations

5a + 4o = 10

5a + 5o = 11

Subtract

o = 1

The value of orange is $1

The value of apple will be:

5a + 4o = 10

5a + 4(1) = 10

5a + 4 = 10

Collect like terms

5a = 10 - 4

5a = 6

Divide

a = 6/5

a = 1.2

Apple cost $1.2

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Answer:

Step-by-step explanation:

The Answer is 10

Answer:

381.7 ... hope this helped

Step-by-step explanation:

V=

4

3

π

r

3

d=

2

r

Solving forV

V=

1

6

π

d

3

=

1

6

π

9

3

≈

381.70351

Answer:

381.7 mm cubed

Step-by-step explanation:

To find the volume of a sphere is V=4 /3πr³

----------

Since they give you the diameter, you have to divide by 2, so:

9 ÷ 2 = 4.5

When you plug in 4.5, you get you answer.

---------

Have a good day :)

The number that has no composite factors is (c) 77

From the question, we have the following parameters that can be used in our computation:

Number = 21

The factors of 21 are 3 and 7

These factors are composite numbers because they are prime numbers

using the above as a guide, we have the following:

The number 77 has no composite factors

This is so because

77 = 7 * 11

These factors are composite numbers because they are prime numbers

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Probabilities P(X=2) = 0.1 and P(X=3) = 0.4  

The given probability distribution is:   x       0       1       2       3       3/10   ?       ? P(X=x)  0.1   ?       0.1   0.4       ?       ?μ=1.7

The given probability distribution has 5 values in it and they add up to 1. Therefore, the missing probability values can be found by calculating the sum of known probability values and subtracting it from 1.
P(X=0)+P(X=1)+P(X=2)+P(X=3)+0.3

=1P(X=0)+P(X=1)+P(X=2)+P(X=3)

=0.7P(X=0)

=0.1P(X=1)

=?P(X=2)

=0.1P(X=3)

=0.4P(X=0)+P(X=1)+P(X=2)+P(X=3)

=0.7P(X=1)

=0.7-0.1-0.1-0.4

=0.1P(X=1)

=0.1

Now, P(X=2) and P(X=3) can be found:

P(X=2)

= 0.1

P(X=3)

= 0.4

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Answer: Circumference would be 17.72

Step-by-step explanation:

Formulas for area and circumference:

A=πr2

C=2πr

Which would look like this for your problem:

2·\(\sqrt{\pi*\\25}\)≈17.72454

Round up 17.72454 to 17.72

There's your answer, hope this helps

Answer:75.8

Step-by-step explanation:

if the hundredth place to the right of the desimel is more than or 5 then the number to the right of the 5 is going to increase its value by 1

Answer:

The probability of not spinning a 3 is \(\frac{8}{9}\)

Step-by-step explanation:

The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3?

Spinning a 3 and not spinning a 3 are complementary events, which means that the sum of their probabilities is decimal 1. So

\(\frac{1}{9} + p = 1\)

\(p = 1 - \frac{1}{9} = \frac{9}{9} - \frac{1}{9} = \frac{8}{9}\)

The probability of not spinning a 3 is \(\frac{8}{9}\)

Answer:

75 problems

Step-by-step explanation:

You would use cross multiplication you you set up the problem like this:

50/80 = x/120

you would cross multiply to get 80x=6,000

then you would divide each side by 80

6,000/80= 75

The smallest value within the class is the lower class limit, and the largest value within the class is the upper class limit.

A class limit is a set of boundary values in the form of a range that describes the lowest and highest data values that a class can contain. The lower class limit refers to the smallest data value in a class, whereas the upper class limit refers to the largest data value in a class. The width of a class is determined by the difference between the upper and lower class limits. Here are a few examples to give you a better understanding of how this works:

Class:              5-9 5 9

Lower Limit:    10-14 10 14

Upper Limit:    15-19 15 19

This shows class limits for three different classes.

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The mean height of the boys will be 1.73m.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Given that:-

If the mean height of 15 girls is 1.65m, the sum of the girls’ heights is 15×1.65 = 24.75m.

If the mean height of 10 boys is x meters, the sum of the boys’ heights is 10x m. The sum of all 25 students’ heights is

25×1.682=42.05m.

The mean height of the boys.

24.75+10x=42.05,

x =(42.05-24.75)/10

x =1.73m,

Therefore the mean height of the boys will be 1.73m.

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Answer: See below

Step-by-step explanation:

Weight of concrete nails - weight of concrete nails used = weight of concrete nails left

3.35 – 1.23 = 2.12

Weight of concrete nails left * number of workers = total weight of concrete nails

2.12 x 8 = 16.96

There are 2.12 kgs of concrete nails left in each of the boxes and there are 16.96 kgs of concrete nails altogether

Answer:

First Answer: 12.5 weeks

Third Answer: 16 minutes(I think it was a really long decimal so I rounded it up)

Answer:

5 seconds.

Step-by-step explanation:

Make an equation.

Time in air = x

Time in water = 12 - x

16x + 36 - 3x = 127

13x = 91

x = 7

12 - 7 = 5

Answer: The base is 4.8 sq inches.

Step-by-step explanation: The formula for a triangle is (B x H) x 1/2. Knowing this, we can double 8.64 to nullify the 1/2. This gives us 17.28. 17.28 divided by 3.6 gives us 4.8

Answer:

4.8

Step-by-step explanation:

The area of a triangle is half the base times the height.

\(0.5*b*3.6=8.64 \\ b = \frac{8.64}{0.5*3.6}\)

The necessary components to describe a rotation on a coordinate plane include the center of rotation, the shape of the figure, and the number of degrees of rotation.

To describe a rotation of a figure on a coordinate plane, the necessary components include the center of rotation, the shape of the figure, and the number of degrees of rotation.

a. The center of rotation is a fixed point around which the figure rotates. It serves as the anchor for the rotation and determines the position of the figure after the rotation is applied.

b. The shape of the figure refers to its size, proportions, and geometric characteristics. This information is crucial as the figure retains its original shape during the rotation.

c. The number of degrees of rotation determines the magnitude of the rotation. It specifies how much the figure is rotated around the center of rotation. Positive angles indicate counterclockwise rotations, while negative angles represent clockwise rotations.

d. The direction of rotation is not necessary to describe a rotation on a coordinate plane. The rotation can be defined solely by the center, shape, and angle of rotation.

In summary, the essential components to describe a rotation on a coordinate plane include the center of rotation, the shape of the figure, and the number of degrees of rotation. The direction of rotation is not required to define the rotation.

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The p-value for the claim is 0.0576.

We must run a hypothesis test to find the p-value for the assertion. Here are descriptions of the null and competing hypotheses:

Null Hypothesis (H₀): Young adults in the city share the same smoking patterns as young adults in general in the United States.

Alternative Hypothesis (H₁): The percentage of young adults in the city who smoke differs from the percentage of young adults in the U.S.

To analyse the data, we can perform a hypothesis test for a single proportion, more precisely a one-sample proportion test. Let's use this method to determine the p-value.

We must first calculate the sample proportion's standard error:

SE = \(\sqrt{\frac{p_{0} \times (1 - p_{0})}{n}}\)

where:

p₀ = proportion of young adults who reported smoking at least twice a week or more in the last month (given as 0.16)

n = sample size (given as 75)

SE = sqrt((0.16 * (1 - 0.16)) / 75) ≈ 0.0421

Next, we calculate the test statistic (z-score) using the observed sample proportion:

z = (\(\hat{p}\) - p₀) / SE

where:

\(\hat{p}\) = observed sample proportion (6 out of 75)

p₀ = proportion of young adults who reported smoking at least twice a week or more in the last month (given as 0.16)

SE = standard error of the sample proportion (0.0421)

\(\hat{p}\) = 6/75

\(\hat{p}\) = 0.08

z = (0.08 - 0.16)/0.0421

z ≈ -1.897

Now that we have the probability of seeing a test statistic with either tail as severe as -1.897, we can calculate the p-value.

p-value ≈ P(Z ≤ -1.897) + P(Z ≥ 1.897)

The p-value is about 0.0576, according to a standard normal distribution table or statistical software.

As a result, the claim's p-value is roughly 0.0576.

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