Giving a test to a group of students, the grades and gender are summarized below

A B C Total
Male 9 13 4 26
Female 16 7 10 33
Total 25 20 14 59


If one student is chosen at random,

Find the probability that the student was NOT a male that got a "A"

(Give your answer as a fraction or decimal rounded to 3 places.)

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

\( {x}^{2} - x - 1 = x + 2 \\ {x }^{2} - x - 1 - x - 2 = 0 \\ {x}^{2} - x - x - 1 - 2 = 0 \\ {x}^{2} - 2x - 3 = 0 \\ (x - 3)(x + 1) = 0 \\ x - 3 = 0 \\ \\ or \\ x + 1 = 0 \\ \\ x = 3 \\ \\ or \\ \\ x = - 1\)

WHEN x=3

\(y = 3 + 2 \\ y = 5\)

When x=-1

\(y = - 1 + 2 \\ y = 1\)

NOW WE HAVE A PAIR OF SOLUTIONS AS

Step-by-step explanation:

I hope this answer is helpful ):

Answer: Sir in what way would you like me to explain this

Step-by-step explanation:

The two new wrestlers must weigh 164 pounds each in order for the median to increase by 3 pounds.

Median is used to identify the central tendency of the data and is calculated by sorting the data in order from smallest to largest and then selecting the middle value.

Since the median weight of the wrestlers increases by 3 pounds, the median of the new data set (with the two new wrestlers) must be 153 pounds.

To calculate the weights of the two new wrestlers, we need to arrange the data set in ascending order first.

When the two new wrestlers are included, the new data set looks like this: 112, 130, 142, 150, 178, 206, x, y.

The median number in this data set is the average of the third and fourth numbers, 150 and 178.

Thus, the equation is written as

(150 + 178) / 2 = 164.

We can then solve this equation to find the weights of the two new wrestlers.

150 + 178 = 328

328 / 2 = 164.

So, the two new wrestlers must weigh 164 pounds each in order for the median to increase by 3 pounds.

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The simplified expression is  c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²).

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

c +6b/(-2bc-6ab- 3a²) + 2b/(a² + 2ab) - b/(ac - 3a²)

Now, simplifying

(c+ 6b) (a² + 2ab)(ac - 3a²) + 2b(-2bc-6ab- 3a²)(ac - 3a²)- b (-2bc-6ab- 3a²)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= ca² + abc + 6a²b + ab² (ac - 3a²) + (4b²c - 12ab² - 6a²b)(ac - 3a²) - ( -2b²c - 6ab² - 3a²b)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c + a²bc² - 3a³bc + 6a³bc - 18\(a^4\)b + 4ab²c² - 12a²b²c - 12 a²b²c+ 36a³b - 6a³bc + 18\(a^4\)b + 2a²b²c +  4a³bc + 6a³b² + 12a²b³  - 3\(a^4\)b + 6a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

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This point of intersection means that both the new and old job would have the same total monthly salary of $3050 if 15000 sales are made.

Let x represent the number of sales and y represent the total monthly salary.

Since he receive a monthly salary of $2000 plus a commission on 7% of  sales, hence:

y = 7% of x + 2000

y = 0.07x + 2000     (1)

The new job at $2300 per month, plus a commission of 5%  of sales, hence:

y = 5% of x + 2300

y = 0.05x + 2300      (2)

Plotting equations 1 and 2 using geogebra graphing calculator. The graph is attached.

The point of intersection is at (15000, 3050).

This point of intersection means that both the new and old job would have the same total monthly salary of $3050 if 15000 sales are made.

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Answer: 8.16e-10

I think idrk          

Answer:

\( \frac{10\% +20\% + 70\% }{250 \: million} \\ \\ \\ \frac{ \frac{10}{100} + \frac{20}{100} + \frac{70}{100} }{250 \times 10 ^{6} } = \frac{ \frac{100}{100} }{250 \times {10}^{6} } \\ \\ \frac{1}{250 \times {10}^{6} } = 4 \times {10}^{ - 9} \)

I hope I helped you^_^

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

What is congruent?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Here,

we have to prove when can we say that the two triangles are congruent.

SSS, SAS, ASA, AAS, and HL.

These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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Answer:

-5

Step-by-step explanation:

if you have -$4 and then you owe someone another 5 dollars (-5) you would owe a total of $9 (-9) W would be -5.

Answer:

 A - it is $78.5

 B-$98

 C- 2.95- 4.00 =

 -1.05

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Step-by-step explanation:

the distributing ratio is 2:5.

that means for every 2 white marbles there must be 5 blue marbles.

so, we are taking about "groups" or multiples of 7 (2+5 = 7).

now, even 7×7 = 49 is too small.

but the next multiple of 7 (7×8 = 56) is now big enough to include at least 50 marbles.

so, in order to keep the 2:5 ratio strictly in place, the minimum number of marbles in the bag is 56.

Answer: 142825

Step-by-step explanation:

If \(t\) is the number of years, then the population is \(P(t)=100000(1.02)^t\).

Setting \(t=18\). \(P(18)=100000(1.02)^{18} \approx 142825\).

Answer:

1. 6

2. -1

3. 5

4. 2

5. -1

6. 5

7. 6

when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

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Answer:

\(2\times \left(-21\right)\times \:7\)

PEMDAS order of operations:

\(2\times \left(-21\right)=-2\times \:21=-42\)

\(=-42\times \:7\)

\(=-294\)

D) -294 is your answer

OAmalOHopeO

Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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The recursive rule is f(n) = f(n - 1) * 2; f(1) = 9 and the explicit rule is f(n) = 9(2)^n-1

The recursive rule

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

The table

The table definitions imply that we simply multiply 2 to the previous term to get the current term

This means that

f(n) = f(n - 1) * 2

Where

f(1) = 9

The explicit rule

The table definitions imply that we simply multiply 2 to the previous term to get the current term

a = 9

r = 2

So we have

f(n) = a * r^n-1

This gives

f(n) = 9(2)^n-1

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The calculated value of the length of GH is 11 meters

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

The figure ABCD and FGHI are congruent

This means that

GH = BC

From the question, we have

BC = 11 meters

Substitute the known values in the above equation, so, we have the following representation

GH = 11 meters

Hence, the length of GH is 11 meters

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There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.

There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.

One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.

A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.

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Answer:

The slope in point-slope form is the coefficient of the x term so the answer is 8.

Answer:

8

Step-by-step explanation:

y-y1=m(x-x1)

m=slope

here m=8

Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

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Using L'hopital we can see that the limit is equal to 1/22

Here we want to take the limit of x tending to zero for x/sin(22x)

Notice that when x = 0, both numerator and denominator are zero, so we need to take the limit of the first derivatives, for:

y = x

y' = 1

And for:

y = sin(22x)

y' = 22*cos(22x)

Now taking the limit we will get:

\(\lim_{x \to 0} \frac{1}{22cos(22x)} = \frac{1}{22cos(0)} = 1/22\)

That is the value of the limit.

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Answer:

I believe the awnser is 539 total.

Step-by-step explanation:

If you take the 4 and times it by 1 you get 4.

Same with the nine.

But if you times 49 by 11 you get 539.

Hope this helps!

Answer:

Step-by-step explanation:

This number line says that  we can take all values of x that are less than or equal to 2. That is, the solution is

                                  \(x\leq 2\)

NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)

Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

Answer:

3√35

Step-by-step explanation:

since √(ab) = √a·√b you can write √5·√7 as √35

So you have √35 + 2√35 = 3√35