Which of the ordered pairs form (x, y) is a solution of this equation? 3x + 2y = 6
A. (4, -3)
B. None are solutions.
C. (-2, 0)
D. (8, -5)

Answer:

a. 97.72% of the observations are less than 33

b. Approximately 977 observations are less than 33.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 25 and a standard deviation of 4.

This means that \(\mu = 25, \sigma = 4\)

a. Approximately what percentage of the observations are less than 33?

The proportion is the p-value of Z when X = 33. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{33 - 25}{4}\)

\(Z = 2\)

\(Z = 2\) has a p-value of 0.9772

0.9772*100% = 97.72%

97.72% of the observations are less than 33.

b. Approximately how many observations are less than 33?

Out of 1000:

0.9772*1000 = 977.2

Approximately 977 observations are less than 33.

One would pay $5,232.96 in interest over the 5-year loan term.

To get interest paid on the loan, we will the formula for compound interest \(Interest = Principal * (1 + Annual Interest Rate)^{Number of Years} - Principal\)

The principal is the loan amount which is $9,000.

The annual interest rate is 9.6%

The number of years is 5.

Interest = $9,000 * (1 + 0.096)^(5) - $9,000

Interest = $9,000 * 1.58144018701 - $9,000

Interest = $5,232.96168

Interest = $5,232.96.

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Answer:

The mode is 5, which occurs the most times (four).

Answer:

Hey there! your answer should be the first choice, -1/8

Step-by-step explanation:

multiplication and division in fraction are way easier than adding and subtracting them since you don't have to use factoring much.

so first you set them aside \((\frac{1}{2} )(\frac{-1}{4})\)

then, literally just multiply them across.

meaning, top times top a.k.a. the numerator and bottom times bottom a.k.a. the denominator

check this little cheat code

positive x positive = positive

negative x negative = positive

positive x negative = negative

negative x positive = negative

so lets do the top, the numerators first: 1 x (-1) = -1

then the bottom, the denominators next: 2 x 4 = 8

now replace your answer with that and you get \(\frac{-1}{8}\)  which leads you with the first answer choice.

I hope this helps! :)

Answer: x=^2 or x=−^2

Step-by-step explanation: hope this help

Answer:

c. 1 and 14

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i did the quiz

The amount of water a tank can hold is 17155.86 cubuic ft.

Every three-dimensional object occupies some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.

Now in the given quetion, it is stated that ,

The amount of water that a spherical tank can hold varies directly as the cube of its radius.

Therefore,

\(V_1\alpha R^3\\\\\\V_1= aR^3\\\\a=\frac{1767}{7.5^3}\)

Now , for the tank with radius 16 ft.

\(V_2\alpha R^3\\\\\\V_2= aR^3\\\\V_2=\frac{1767}{7.5^3}*16^3\\\\V_2=17155.86 ft^3\)

Hence, the amount of water a tank can hold is 17155.86 cubuic ft.

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The value of z with a p-value of 0.262 is given as follows:

z = -0.64.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

For this problem, we want the z-score with a p-value of 0.262, hence, looking at the z-table, we have that it is:

z = -0.64.

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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:

(7/4)(0.15)^4(0.85)^3

Step-by-step explanation:

khan says it’s right

Answer:

A. -45

Step-by-step explanation:

Since it says the dolphin dove 45 feet below sea level, it would mean that the integer is negative.

Answer: A

Step-by-step explanation:

Answer:1260

Step-by-step explanation:

Kissing has 7 letters, and there are 2 paris of the same letter.

\(\frac{7!}{2!2!}\) = \(\frac{7*6*5*4*3*2*1}{4}\)= 1260

Answer:

<E, <F, <G

Step-by-step explanation:

Answer: it’s undefined or 0

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

Slope= (y^2-y^1)/(x^2-x^1)

(x^1,y^1) and (x^2,y^2)

(9,4) and (9,-5)

SLOPE:

(-5-4)/(9-9)

-9/0

Undefined

kinda hard to show on brainy but there you go hope this helps

The maximum score that can be in the bottom 5% of scores is 2.64

The middle 90% of scores lie between 2.88 and 4.56.

(a) We must determine the score that corresponds to the 5th percentile of the normal distribution in order to determine the highest score that may fall inside the lowest 5% of scores.

We may use the standard normal table to determine that the 5th percentile corresponds to a standard normal score of -1.28 using the mean and standard deviation supplied (3.6 and 0.75, respectively). We may use the following formula to return to the original scale:

x = mu + z * sigma

Where

Plugging in the values, we get:

x = 3.6 + (-1.28) * 0.75

x= 2.64

(b)

We must determine the 5th and 95th percentiles of the normal distribution in order to determine the range of scores that the middle 90% of scores fall inside.

The standard normal table may be used to determine that the 5th percentile corresponds to a normally distributed score of -1.28 and the 95th percentile corresponds to a standard normal rating of 1.28 using the mean and standard deviation supplied (3.6 and 0.75, respectively). We may use the following formula to return them to their original scale:

x = mu + z * sigma

Where

Plugging in the values, we get:

x = 3.6 + (-1.28) * 0.75

= 2.88 for the 5th percentile

x = 3.6 + 1.28 * 0.75

= 4.56 for the 95th percentile

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Onto but not one-to-one. is f(x)  which is obtained by removing the second bit from x and placing the bit at the end of the string.

The function f is said to be "onto" because it maps every element in its codomain (the set of possible output values) to at least one element in its domain (the set of possible input values). In this case, the codomain is the set of all binary strings of length 3, and the domain is the set of all binary strings of length 2. However, the function is not one-to-one, because there are multiple elements in the domain that are mapped to the same element in the codomain. For example, both "10" and "01" are mapped to "100". This means that the function f is not one-to-one, meaning that it doesn't map every element in its domain to a unique element in its codomain. A function is said to be one-to-one if every element in its domain (the set of possible input values) is mapped to a unique element in its codomain (the set of possible output values). In other words, no two elements in the domain have the same image (output) under the function. A function is said to be onto if every element in the codomain is mapped to by at least one element in the domain. In other words, every element in the codomain has at least one pre-image (input) under the function. In the case of the function f described in the previous question, it is onto because every binary string of length 3 can be obtained as the output of the function for some binary string of length 2. However, it is not one-to-one because there are multiple binary strings of length 2 that are mapped to the same binary string of length 3. For example, both "10" and "01" are mapped to "100".

So, the function f is described as "onto but not one-to-one".

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Answer:

1.) 75

2.) 75

3.) 2

Step-by-step explanation:

120n-150=45n

add 150 to both sides

120n=45n+150

subtract 45n from both sides

75n=150

divide by common number, since 75 is half of 150, use 75.

n=2

The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

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The area between the curve and x-axis is 6/7 units²

How can one find out the area between a curve and x-axis using integrals?

By performing a definite integral between the two locations, one can determine the area under a curve between two points. Integrate y = f(x) between the limits of a and b to determine the area under the curve y = f(x) between x = a and x = b. Areas below the x-axis will have a negative result, while those above the x-axis will have a positive result.

Solution:

Given,

curve y= 3x⁶

x-axis interval = ₋1 to 1

area between the curve and the x-axis is limits(-1 to 1) ∫3x⁶

limits(-1 to 1) 3∫x⁶

limits(-1 to 1) 3∫x⁷/7

3[2/7]

6/7 units²

Hence we get the answer as 6/7 units².

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Answer: C because she went back to im just trying to help the team out

Answer:

(C) wanda converted the percent to a decimal incorrectly. it should be 0.73.

I answer (C) and it was correct.

Step-by-step explanation:

Give the other person brainliest ↑↑

                                                    hope it helps

Answer:

Hunter and Maggie can both be correct because when the average rate of change is zero, the sum of all possible positive slopes and negative slopes on the interval will be zero. The sum of the possible positive slopes cancels out the sum of the possible negative slopes.

In this case the graph would be a parabola with the equation ax^2+bx+c where a is negative

According to hunter

In the interval [-2,2]

According to Maggie

They can be correct

Because

If sum of all positive and negative slopes is zero then average rate of change is zeRos

So there is only one possibility

Then they both are correct

Answer:  the number that can be placed in the box to make the statement true is 3.

Step-by-step explanation:

To make the statement true, we need to find a number that, when added to 7, equals 10. From the given options, the number that satisfies this condition is 3.

If we substitute 3 for the box in the statement, it becomes:

If +7=10, then 10-7=3.

Answer: They will need 42 beads

Step-by-step explanation:

They will have 6 breads per 4 charm and there is 28, so they will need 42 breads.

Answer:

D- They will need 42 beads

Step-by-step explanation:

The answer is 42 beads becuase for every four charms there is six beads.

For starters, I had to figure out how many times 4 went into 28, which is 7. Than from there I did 7×6 and that got me 42.

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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The distance from the bottom of the building to the point where the ladder is touching the building for triangle 2, obtained using trigonometric ratio of tangent is 12 feet. The correct option is therefore;

12 feet

The trigonometric ratios are the value relationship between an interior angle of a right triangle and two of the sides of the triangle.

The right triangles are similar, therefore, the tangent of the angle the ladder makes with the ground are the same, which indicates;

tan(θ) = (Length of the side facing the angle θ) ÷ (Length of the side adjacent to the angle θ)

The side facing the angle is the distance from the bottom to the point where the ladder touches the building.

The adjacent to the angle is the horizontal distance from the bottom to the ladder to the building.

Therefore; tan(θ) = 18/12 = x/8

Where x = The distance from the bottom of the building to the point the ladder touches the building for triangle 2

18/12 = x/8

x = 18/12 × 8 = 12

The distance, x = 12 feet

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Answer:

12?

Step-by-step explanation:

I'm not too sure! I am in the middle of taking the test right now.

14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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Answer:

21

Step-by-step explanation

If 7 apples are 2.10 then for 4.20 its 14 apples.   And 3 apples is 90 cents.  1 apple is 0.30.  So the amount you can buy is 21 because 6.30/0.3 is 21

Answer:

21

Explanation:

If 7 apples cost y cents, how many can you buy for x dollars?

As y cents buy 7 apples, y dollars will buy 7×100 apples.

Hence one dollar will buy 7×100y=700y apples and,

x dollars will buy 700y × x apples or 700x y apples.

Hence 7 apples multiplied by $6.30 divided by $2.10 will get you 21 apples.

Have a beautiful day! v(⌒o⌒)v♪