This one will just end up being a straight line, shouldn’t it? I’m not sure

Answer:

Inequality Form:

y<35

Interval Notation:

(−∞,35)

Answer:

y is smaller than 34 or less

Step-by-step explanation:

put the 11 to the other side and make it a negative then you get 46-11=35 than it says 35>y

a) The value of the mean is μ = 22.5

   The value of the standard deviation is σ = 3.5

b) The Value of 15 girls or fewer is significantly low.

   The value of 30 girls or more is significantly high.

c) The result 36 is significantly high because 36 is greater than 30 girls. A         result of 36 girls is not necessarily definitive proof of the method's effectiveness.

The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.

a) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.

Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.

The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:

μ = np = 45 x 0.5 = 22.5

Therefore, we expect to see around 22-23 girls in a group of 45 couples.

The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:

σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535

Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.

b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.

Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.

Significantly high:

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Significantly low:

Mean - 2σ = 22.5 - 2(3.535) = 15.43

c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.

This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.

It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.

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The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

If (x + 1), 3x and (4x + 2) are in A.S. then the value of x is ?

Answer:

x = 3

Therefore, the value of x is 3.

Step-by-step explanation:

We are given the first three terms of an arithmetic sequence.

(x + 1), 3x, (4x + 2)

The common difference (d) is the difference between two consective terms.

d = (4x + 2) - 3x

d = 4x - 3x + 2

d = x + 2

Also,

d = 3x - (x + 1)

d = 3x - x - 1

d = 2x - 1

Since the common difference must be equal so,

x + 2 = 2x - 1

Combine the like terms

2x - x = 2 + 1

x = 3

Therefore, the value of x is 3.

The values of terms are

x + 1 = 3 + 1 = 4

3x = 3(3) = 9

(4x + 2) = 4(3) + 2 = 12 + 2 = 14

4, 9, 14

As you can notice, the difference between these terms is constant.

14 - 9 = 5

9 - 4 = 5

Answer:

h=2A/b

Step-by-step explanation:

I did the test

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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Answer:

(x+7)^2+(y+9)^2=16

Step-by-step explanation:

This is the equation written in standard form, I'm not sure if that's what you wanted.

SOLUTION

Consider the image below

The ratio of the side is given by

Since the ratio of the side is the scale factor

hence The raio of the perimeters is the scale factor

Therefore

The ratio of their parimeter is 2 : 1

The ratio of the Areas is square of the scale factor

Hence

Therefore

The ratio of their Areas is 4 :1

Answer:

100$ per month

Step-by-step explanation:

Answer:

Step-by-step explanation:

Point A = (5, 6)  is reflected across the x axis which is y =0.

When the point is reflected across the x axis, the x coordinate

remains positive, but the y coordinate becomes negative.

The 6 becomes negative (-6).

So the coordinates of A' are (5, -6) which is the first answer.

Answer:

3

Step-by-step explanation:

13-4=9

11-4=7

16-4=12

9-4=5

15-4=11

Answer: y = x-4

Step-by-step explanation:

15 - 4 = 11

9 - 4 = 5

16 - 4 = 12

11 - 4 = 7

13 - 4 = 9

hopes this helps!!! :3

From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:

Step-by-step explanation:

a. 6 * 50 + 6* 3  = 6* ( 50 + 3) = 6* 53

b. 10 * 53 -4*53  = (10 - 4)*53 = 6*53

c. 6 * 50 + 3  = 303

d. 6 * (50 + 3) = 6*53

Answer:

A, B, D = Yes

C = No

6 * 50 + 6* 3  = 6* ( 50 + 3) = 6* 53

10 * 53 -4*53  = (10 - 4)*53 = 6*53

6 * 50 + 3  = 303

6 * (50 + 3) = 6*53

Answer:

87

the pack is 16 and there are 6 cans in the pack and he drank nine

16*6-9

Answer:

To mathematically prove that Marc hit the ball near the top of the tower, he could use the equation h(x) = -16x^2 + 120x, where h is the height of the ball and x is the number of seconds the ball is in the air.

First, Marc would need to determine the maximum height the ball reached during its flight. This can be found by using the vertex formula, which is x = -b/2a. In this case, a = -16 and b = 120, so x = -120/(2*-16) = 3.75 seconds.

Next, Marc can substitute this value back into the original equation to find the maximum height the ball reached. h(3.75) = -16(3.75)^2 + 120(3.75) = 135 feet.

Since the tower is 300 feet tall, Marc could conclude that if the ball hit near the top of the tower, it would have reached a height close to 300 feet. Since the ball reached a maximum height of 135 feet, it is unlikely that it hit the top of the tower.

However, this calculation assumes that the tower is directly in line with Marc's shot and that the ball did not have any horizontal movement. In reality, the tower could have been to the left or right of the shot, and the ball could have had some horizontal movement, which would affect its height at impact. Therefore, this calculation can only provide a rough estimate and cannot definitively prove whether or not the ball hit near the top of the tower.

Answer:

-24

Step-by-step explanation:

multiply the 6 by the -3 and the 2 by -3

you get -18+-6

if you add them together u get -24

Hey there!

-3(6 + 2)

= -3(8)

= -24

Therefore, your answer is: -24

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

To find the volume of the solid, you need to calculate the area of each cross-section and then multiply that by the thickness of the section (which is the distance along the y-axis).

(a) Squares: The cross-sections are squares with sides of length y. The area of a square is side^2, so the area of each square is y^2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the square cross-sections is y^2 * y

(b) Semicircles: The cross-sections are semicircles with radii of length y. The area of a semicircle is (pi * r^2) / 2 , so the area of each semicircle is (pi * y^2) / 2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semicircular cross-sections is (pi * y^2) / 2 * y

(c) Equilateral triangles: The cross-sections are equilateral triangles with side length of y. The area of an equilateral triangle is (s^2 * √3)/4. so the area of each equilateral triangle is (y^2 * √3) / 4. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the equilateral triangle cross-sections is (y^2 * √3) / 4 * y

(d) Semi-ellipses: The cross-sections are semi-ellipses whose heights are twice the lengths of their bases. The area of a semi-ellipse is πab/2, where a and b are the lengths of the semi-major and semi-minor axes respectively. Therefore the area of each semi-ellipse will be (πy^2)/2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semi-ellipse cross-sections is (πy^3)/2

It is important to note that this is a theoretical volume calculation, as the shape of the solid does not have a closed form representation by these functions, but rather, these are an approximation.

Also, for any of these volumes to be meaningful, we have to integrate over the range of the variable y, since it is bounded by the equations y=x, y=0 and x=1, the variable y is limited.

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The Pythagorean triples here are; 3, 4, 5. Option 1

We define a Pythagorean triple as a^2+b^2 = c^2 where a, b and c are the three positive integers. Given that we can find the Pythagorean triple from; (x2 - y2)2 + (2xy)2 = (x2 + y2)2

Where; x = 2, y = 1

Substituting values have;

(2^2 - 1^2)^2 + (2*2*1)^2 = (2^2 + 1^2)^2

This results to;

3^2 + 4^2 = 5^2

9 + 16 = 25

25=25

Therefore the Pythagorean triples here are; 3, 4, 5. Option 1

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The equatiοn οf the circle is \((x + 10)^2 + (y + 4)^2 = (10\sqrt2)^2\) οr

(x + 10)^2 + (y + 4)^2 = 200.

A circle is a twο-dimensiοnal geοmetric shape cοnsisting οf all the pοints in a plane that are equidistant frοm a given pοint called the center οf the circle. The distance between the center οf the circle and any pοint οn the circle is called the radius, and the distance acrοss the circle passing thrοugh the center is called the diameter.

The distance between the center οf the circle and any pοint οn the circle is equal tο the radius. Therefοre, we can use the distance fοrmula tο find the radius.

Radius = distance between (-10, -4) and (4, -2)

\(=\sqrt {(4 - (-10))^2 + (-2 - (-4))^2}\)

= \(\sqrt{(14)^2 + 2^2}\)

\(= \sqrt{(196 + 4)\)

= \(\sqrt{200\)

\(= 10\sqrt2\)

The equatiοn οf a circle is \((x - h)^2 + (y - k)^2 = r^2\), where (h, k) is the center οf the circle and r is the radius. Using the given infοrmatiοn, we have:

Center: (-10, -4)

Radius: \(10\sqrt2\)

Therefοre, the equatiοn οf the circle is \((x + 10)^2 + (y + 4)^2 = (10\sqrt2)^2\) οr

\((x + 10)^2 + (y + 4)^2 = 200.\)

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Answer:

11

Explanation:

I prefer to get paid in cash but you can pay me the way you want ;)

Answer:

-21√x + 32

Step-by-step explanation:

Let f(x) = 7x + 4  

g(x) = √x + 4

(-3)f(g(x)) = f (√x + 4)

= -3 [7(√x + 4) + 4]

= -3 [7√x + 28 + 4]

= = -21√x + 32

Even I find this complicated.

Hope its right tho.

Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans

A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.

Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.

If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:

(4/9) x 2,100 = 933.33

We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.

Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.

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Answer:

if you divide both sides of -5x > 0 you get z > 0. This is incorrect because if you choose a value from the possible solutions such as z=6 and substitute it into the original equation you get -30 > 0, which is not true

I put the answers in bold

hope this helps!

Step-by-step explanation:

The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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Answer:

$223,787

Step-by-step explanation:

r = 0.02

C = 191,000

t = 8

S = 191,000 (1 + 0.02)⁸

Follow order of operations (PEMDAS).

S = 191,000 (1.02)⁸

S = 191,000 (1.171659381)

S = 223,786.9

(We want to round to the nearest dollar, which is the ones place, so ignore all digits after the tenths place.)

Rounding, S = 223,787

Answer:

interior angle (2)= 70

interior angle (3)= 60

Step-by-step explanation:

Given:

exterior angle=120°

interior angle (1)=50°

Required:

interior angle (2)=?

interior angle (3)=?

Formula:

exterior angle=interior angle (1) + interior angle (2)

Solution:

exterior angle=interior angle (1)+ interior angle (2)

120°=50°+interior angle (2)

120°+50°=interior angle (2)

70°=interior angle (2)

interior angle (3)= 180°-interior angle (1)- interior angle (2)

interior angle (3)=180°-50°+70°

interior angle (3)=180°-120°

interior angle (3)= 60°

Theorem:

Theorem 1.16

The measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.

Hope this helps ;) ❤❤❤

Answer:

A

Step-by-step explanation:

Answer: 60% of a certain species of tomato live after transplanting from pot to garden. Eli transplants 161616 of these tomato plants. Assume that the plants live independently of each other. Let T = the number of tomato plants that live.

Step-by-step explanation:

Answer:

Hans deposits $6000 into an account.

=> Principal P = 6000

Simple interest rate 5% per year.

=> Rate R = 5% = 5/100 = 0.05

The formula to calculate the amount of interest after 4 years:

A = P x R x years = 6000 x (5/100) x 4 = 1200$

Hope this helps!

:)