A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have an average of 787
83, 81, 70, 74
The minimum grade he must get on the last test in order to have an average of 78 is

Answer:

x ≥ 397

Step-by-step explanation:

x represents the rainfall in inches. The question seems incomplete, but this is what i got from the info you provided

The complete table is:

           Adults    Children Total

Male       80            40        120

Female   70            10         80

Total       150           50         200​

The incomplete two-way table is given as:

           Adults    Children Total

Male       80                        120

Female

Total       150           50         200​

The sum of the rows must equal to the row total.

This means that:

80 + Children = 120 ----- first row

So, we have:

Children = 40

Also, the sum of the columns must equal to the column total.

This means that:

80 + Female = 150 ----- first column

So, we have:

Female = 70

Also, we have:

40 + Female = 50 ----- second column

So, we have:

Female = 10

Using the above computation, the complete table is:

           Adults    Children Total

Male       80            40        120

Female   70            10         80

Total       150           50         200​

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The x-axis of the graph is the upper limits of each class, while the y-axis is the cumulative frequency or cumulative relative frequency. The cumulative relative frequency for the last class is always equal to 1.

An ogive graph is a type of line graph that is used to show the cumulative frequency or cumulative relative frequency of a given set of data. To start, the data must be organized into classes with upper and lower limits. Once the data is organized, the ogive graph can be constructed. The x-axis of the graph is the upper limits of each class, while the y-axis is the cumulative frequency or cumulative relative frequency. Each plotted point on the graph will have an x-coordinate that is equal to the upper limit of the class. The cumulative relative frequency for the last class must always be 1, since all observations are less than or equal to the last class. To plot the points on the graph, start by finding the cumulative frequency or relative frequency for the first class. Then, for each subsequent class, add the cumulative frequency or relative frequency to the cumulative frequency or relative frequency of the previous class. Once all the points are plotted, draw a line connecting the points to form an ogive graph.

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Answer:

The domain represents the possible inputs of a function.

Step-by-step explanation:

The domain of a function is all of the possible x values that it can include.

These x values can also be called inputs of the function.

The x values are the inputs, and the y values are the outputs, in a function in the form of f(x) =

So, the statement best describing the domain of a function is The domain represents the possible inputs of a function.

Answer:

The volume of the cone is 3140cm³

Step-by-step explanation:

Volume of come = 1/3 × πr²h

r = diameter/2 = 20/2 = 10cm

h = 30cm

π = 22/7

Volume = 1/3 × 22/7 × 10² × 30

Volume = 1/3 × 22/7 × 100 × 30

Volume = 3142.86cm³

Volume = 3140cm³

Answer:

Step-by-step explanation:

We are expected to solve for Bob's speed

Given data

distance covered = 1.5 mile

time taken = 20 minutes to hours = 0.33hours

We know that the expression for speed is given by

speed= distance covered/time taken

substituting our given values we have

speed= 1.5/0.33

speed=4.5 mph

So Bob's speed is 4.5 miles per hour

The term number 408 in the sequence corresponds to a value of 166,057, indicating the specific value of the sequence at that position.

In a sequence where the mean of the first n terms is n, we can infer that the sum of the first n terms is n times n, which is n². Let's denote the nth term as a_n. We know that the sum of the first n terms can be expressed as the sum of the (n-1) terms plus the nth term, which gives us (n-1) + a_n. Since the sum of the first n terms is n², we have the equation (n-1) + a_n = n².

To find the 408th term, we can substitute n = 408 into the equation. We have (408-1) + a_408 = 408², which simplifies to 407 + a_408 = 166,464. Solving for a_408, we get a_408 = 166,464 - 407 = 166,057.

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Answer: I believe he could wear 768 outfits

Step-by-step explanation: I had a similar question consisting of the same numbers.

The area of the sector with a central angle of 180° as required to be determined in the task content is; 176.41 cm².

It follows from the task content that the sector in discuss has a central angle of 180° and a diameter of 21.2 cm.

Recall the area of a sector is;

Area, A = (theta/360) × πr²

where r = diameter / 2

r = 21.2/2

r = 10.6 cm.

A = (180/360) × 3.14 × 10.6²

Area, A = 176.41 cm².

Ultimately, the area of the sector is; 176.41 cm².

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- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

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The standard form of the equation of the circle with a center at (3, -1) and a point on the circle at (5, 2) is (x - 3)² + (y + 1)² = 13.

To obtain the standard form of the equation of a circle provided its center and a point on the circle, we can use the distance formula.

The distance between the center of the circle (h, k) and a point on the circle (x, y) is equal to the radius of the circle.

Provided that the center of the circle is (3, -1) and a point on the circle is (5, 2), we can obtain the distance between these two points to determine the radius.

Using the distance formula:

\(\[ r = \sqrt{(x - h)^2 + (y - k)^2} \]\)

Substituting the values:

\(\\$r = \sqrt{(5 - 3)^2 + (2 - (-1))^2}$\\$= \sqrt{2^2 + 3^2}$\\$= \sqrt{4 + 9}$\\$= \sqrt{13}$\)

Now that we have the radius, we can write the equation of the circle in standard form:

(x - h)² + (y - k)² = r²

Substituting the values:

(x - 3)² + (y - (-1))² = (sqrt(13))²

(x - 3)² + (y + 1)² = 13

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Answer:

Step-by-step explanation:

f(x) = x - 14

To find f(2) substitute the value of x that's 2 into f(x). That is for every x in f(x) replace it with 2

We have

f(2) = 2 - 14

We have the final answer as

Hope this helps you

Here, we are given with a polynomial f(x)

\(f(x) = x - 14\)

And we are asked to find f(2).....?

We can see that, 2 is in place of x. So for finding its value, we need to substitute 2 in place of x.

Substituting 2 in place of x:

\(f(x) = x - 14\)

\(f(2) = 2 - 14\)

Solving further,

\(f(2) = \boxed{- 12}\)

And, we're done with the value of f(2)

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Answer:

the answer is a . I hope it helps

a. The common ratio is 2.

Given that the sum of the first five terms of the geometric series is 33, we use the formula for the sum of terms of a geometric series, S

Sₙ = a(rⁿ - 1)/(r - 1) where a = first term and r = common ratio

Since n = 5, the first 5 terms, and S₅ = 33

Sₙ = a(rⁿ - 1)/(r - 1)

33 = a(r⁵ - 1)/(r - 1) (1)

Also, when n = 10, the sum of the first 10 terms is S₁₀ = -1023

So, -1023 = a(r¹⁰ - 1)/(r - 1) (2)

Dividing (2) by (1), we have

-1023/33 = a(r¹⁰ - 1)/(r - 1) ÷ a(r⁵ - 1)/(r - 1)

-31 = (r¹⁰ - 1)/(r⁵ - 1)

-31(r⁵ - 1) = r¹⁰ - 1

-31r⁵ + 31 = r¹⁰ - 1

r¹⁰ - 1 + 31r⁵ - 31 = 0

r¹⁰ + 31r⁵ - 32 = 0

Let r⁵ = y

(r⁵)² + 31r⁵ - 32 = 0

y² + 31y - 32 = 0

Factorizing, we have

y² + 32y - y - 32 = 0

y(y + 32) - (y + 32) = 0

(y - 1)(y - 32) = 0

y - 1 = 0 or y - 32 = 0

y = 1 or y = 32

r⁵ = 1 or r⁵ = 32

r = ⁵√1 or r = ⁵√32

r = 1 or r = 2

Since for a geometric series, r ≠ 1, r = 2.

So, the common ratio is 2.

ii. The first term of the series.

The first term of the series is 33/31

Using (1)

33 = a(r⁵ - 1)/(r - 1) (1) where r = 2,

33 = a(2⁵ - 1)/(2 - 1) (1)

33 = a(32 - 1)/1

33 = 31a

a = 33/31

So, the first term of the series is 33/31

b. Find the general term of the series. Simplify your answer. ​

The general term of the geometric series is (33/62) × 2ⁿ

The general term of a geometric series is Uₙ = arⁿ⁻¹

With a = 33/31 and r = 2,

Uₙ = arⁿ⁻¹

Uₙ = (33/31) × 2ⁿ⁻¹

Uₙ = (33/31) × 2ⁿ/2

Uₙ = (33/62) × 2ⁿ

So, the general term of the geometric series is (33/62) × 2ⁿ

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Answer:

20√2

Step-by-step explanation:

20√2 = 28.284...

Answer:

True

Step-by-step explanation:

√784/√4 = 28/2 = 14

Answer:

the answer is true

Step-by-step explanation:

because all are equal 14

Answer:

im pretty sure you just divide the amount of money byt the amount it costs

Step-by-step explanation:

Answer:

108 ads

Step-by-step explanation:

If the agent has $972 to spend and each ad costs $9, then you divide 972/9=108

Plz mark Brainliest thx!

The difference between F(8) and F(2) is 12

What are Functions?

A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).

Solution:

Given: Function of Warming Room = F(m) = 2m + 58

To Find: F(8) - F(2)

F(8) = 2*8 + 58 = 16+58 = 74

F(2) = 2*2 + 58 = 4+58 = 62

F(8) - F(2) = 74 - 62 = 12

The difference between F(8) and F(2) is 12

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The mean (μ) of the sample is 25 and the standard error (SE) is approximately 1.58.

To find the mean and standard error of a sample, we can use the formulas:

Mean (μ) = population mean = 25
Standard Error (SE) = √(variance / sample size)

Given that the population mean is 25 and the variance is 200, we can calculate the standard error as follows:

Standard Error (SE) = √(200 / 80)
SE = √2.5
SE ≈ 1.58

Therefore, the mean (μ) of the sample is 25 and the standard error (SE) is approximately 1.58.

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Answer: 108\(\pi\) + 72 \(mi^{2}\) or 411.29 \(mi^{2}\)

Step-by-step explanation:

In this situation, we need to seperate the polygon into two pieces, the part of a circle and the right angle triangle.

The area of the part of the circle is

\(\frac{3}{4}\) × \(\pi\)\(r^{2}\) as it is \(\frac{3}{4}\) of a circle. Insert r as 12(because the radius is 12), we get 108\(\pi\)

For the right angle triangle, we use the equation \(\frac{1}{2} bh\) , which in this case b and h are 12 so the area of the right angled triangle is \(\frac{1}{2}\) × 12 × 12 = 72

So the combined area is 108\(\pi\) + 72 or around 411.29 \(mi^{2}\)

Answer:

on a half circle of radius 12 Area = (12²*ft)/2

on a right angle triangle Area = (12*12)/2 = 72

on 1/4 radius 12mi Area = (12²*ft)/4

Area = (144ft)/2 + 72 + (144ft)/4

Area = 72ft+36ft+72 = 108ft+72(mi²)

Step-by-step explanation:

For the given quadratic function the features are:

A parabola, a U-shaped curve, is the shape of a quadratic function's graph.

There are three characteristics that all quadratic functions share:

Thus, for the given quadratic function the features are:

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Answer:

True

Step-by-step explanation:

B would be the midpoint because it is in the middle of both showing thats where both points connect.

Answer:

$900

Step-by-step explanation:

Savings = 15% of her income

This month income = $500

Given expression:

0.15(x + 500)

where,

x = last month’s income.

What was Gwen’s income in dollars last month?

Gwen saves $210 this month.

210 = 0.15(x + 500)

Open the parenthesis

210 = 0.15x + 75

Collect like terms

210 - 75 = 0.15x

135 = 0.15x

Divide both sides by 0.15

x = 135 / 0.15

= 900

x = $900

Gwen’s income in dollars last month is $900

Answer:

The probability that the second number is odd is 50%.

Step-by-step explanation:

Given that Malik randomly picked two different numbers from 1 to 9, and the first one was odd, to determine what is the probability that Malik picked a second odd number given that the first number was odd, the following calculation must be performed:

Odd numbers = 1 - 3 - 5 - 7 - 9 = 5 odd numbers

Even numbers = 2 - 4 - 6 - 8 = 4 even numbers

4/8 = 0.5 x 100 = 50%

Therefore, if from 1 to 9 an odd number was obtained, 8 numbers remain, of which 4 are odd. Therefore, the probability that the second number is odd is 50%.

Answer:

The answer for plato is 2/9

Step-by-step explanation:

What is the probability that the sum of the two numbers Malik picks is less than 5, given that the first number is odd and less than 5?

The complete line ratio AB : BC : CD is 6 : 2 : 5

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

AB : BD = 2 : 3

AC : CD = 2 : 1

Rewrite them as

x ⇒ AB : BD = 2 : 3

y ⇒ AC : CD = 2 : 1

These ratios can be represented using the following equation

2x + 3x = 2y + y

Evaluate the sum

5x = 3y

Simplify

x = 3/5y

So, we have

AB : BC : CD

This gives

AB : CD - BD : CD

So, we have

2x : y - x : y

Solving further, we have

2 * 3/5y : y - 3/5y : y

Evaluate

6/5y : 2/5y : y

Multiply through by 5

6y : 2y : 5y

Divide through by y

6 : 2 : 5

Hence, the ratio is 6 : 2 : 5

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Answer:

x=6

Step-by-step explanation:

The line best illustrates the growth of a facultative anaerobe incubated aerobically is (b) on the graph.

Cells are the basic unit of life, and they carry out a variety of functions within an organism.

When a catalase-negative cell is exposed to hydrogen peroxide, the hydrogen peroxide will not be broken down into water and oxygen as quickly as it would be in a catalase-positive cell (i.e., a cell that does produce catalase).

This can have important implications for the survival of the cell, particularly under aerobic (i.e., oxygen-rich) conditions.

The figure may contain several lines or curves, each of which represents the change in concentration of hydrogen peroxide over time for a different type of cell.

One of these lines will correspond to the catalase-negative cell. Since this cell does not produce catalase, the rate at which hydrogen peroxide is broken down will be slower than in a catalase-positive cell.

Therefore, the line corresponding to the catalase-negative cell should show a slower decrease in hydrogen peroxide concentration over time than the line corresponding to a catalase-positive cell.

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