2. What is the 7th term of an A.P: 50+45+40? a. 40, b. 20, c. 15, d. 22​

Answer:

1 1/2

Step-by-step explanation:

1/4 cups * 6 batches = 1/4 * 6 = 6/4 = 1 2/4 = 1 1/2

Answer:

\(0.04 = 4 \div 100 \)

Using the z-distribution, the 95% confidence interval for the proportion is given as follows:

(0.4576, 0.5824).

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The other parameters for the interval are given as follows:

\(n = 246, \pi = 0.52\).

The lower and upper bound of the interval, respectively, are given by:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{246}} = 0.4576\)

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{246}} = 0.5824\)

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A cuboid has 6 faces and the formula for its total surface area is:

2lw + 2lh + 2wh, where l is the length, w is the breadth, and h is the height.

Given the total surface area of 1168 cm² and the length and breadth being 16 cm and 14 cm, respectively:

2(16)(14) + 2(16)h + 2(14)h = 1168

Expanding the expression:

448 + 32h + 28h = 1168

Combining like terms:

60h = 720

Dividing both sides by 60:

h = 12 cm

So the height of the cuboid is 12 cm.

690

Step-by-step explanation:

Answer:

Perimeter- 12 inches

Area- 8 inches

Shape- Rectangle

(I didn't know what the question was)

Answer:

41° and 49°

Step-by-step explanation:

Complementary angles are angles that sum up to 90°.

Let x represent the smaller angle, then the bigger angle will be represented with x + 8:

x + x + 8 = 90°

2x + 8 = 90°

2x = 82°

x = 41° this is the measure of smaller angle, then the bigger angle wpis 49°

The answer is:

Work/explanation:

If two angles are complementary, their measures add to 90°.

So we can set up an equation to find the angles. Let the unknown angle be w, and its complement will be w + 8:

w + w + 8 = 90

Combine like Terms

2w + 8 = 90

2w = 82

w= 41

The other angle measures 8° more than the measure of w:

41 + 8 = 49

The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.

It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.

Consequently, it follows from the sine law that;

4 / sin 20° = x / sin 109°

x = 4 sin 109° / sin 20°

x = 11.06.

Ultimately, the number that belongs in the green box is; 11.06.

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Step-by-step explanation:

AUB= N(A and B)

AUB=(1,2,3,4,6)

AnB= (2,4)

Answer:

X=21 and Y=121

Step-by-step explanation:

With these types of problems, we need to know our vertical angles and that lines are 180° when two angles on a line are next to each other.

To solve this problem algebraically we want to add (3x-4)  and (6x-5) together so that they equal 180. The reason we do this is that they lie on the same line which is 180°. The equation would look like \(3x+6x-5-4=180\). We then want to add like terms which will leave us with \(9x-9=180\). Now we want to get 9x by itself by adding 9 on each side which leaves us with \(9x=189\). To isolate x we need to divide on each side by 9 which finally leaves us with \(x=21\)

Now that we have the value of x (21) we can now utilize our knowledge of vertical angles (angles that are completely across and equal to one another.) We can find y by doing this equation: \(y=6x-5\) and with the value of x found we can plug in the value to get \(y=6(21)-5\) which simplifies to \(y=126-5\) then to \(y=121\).

Answer:

Step-by-step explanation:

For the first bag:

Price of the bag = $12

Number of balls in the bag = 15

Price per ball = Price of the bag / Number of balls

Price per ball for the first bag = $12 / 15 = $0.8

For the second bag:

Price of the bag = $15

Number of balls in the bag = 20

Price per ball = Price of the bag / Number of balls

Price per ball for the second bag = $15 / 20 = $0.75

Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.

Answer:

Step-by-step explanation:

To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.

For the first bag, the price per ball is $12 / 15 = $0.80.

For the second bag, the price per ball is $15 / 20 = $0.75.

Therefore, the second bag prices individual baseballs lower.

Answer:

1.8

Step-by-step explanation:

All you need to do is use substitution....

p4

They gave us the value of p and it is 0.45, now we need to substitute it, into the expression to find the value

p4 = (0.45)4

0.45 * 4 = 1.8

so p4 = 1.8

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

36 square inches.

Step-by-step explanation:

volume is given by 1 by 3, into base into height is based. His height and volume and area of the base is given by area of the ashe area of the base is given by 3 into 60 by 5. As given in the question on solving it, we get it equals to 36 square inches.

Answer:

54<48

Step-by-step explanation:

If you add 45+3, you get 45.

Hope this helped.

Answer:

C

Step-by-step explanation:

The required equation that is rewritten and ready to solve is 4x² - 12x + x - 3 = 0. Option C is correct.

Given that,
The quadratic equation 4x² - 11x - 3 = 0 The equations is rewritten and ready to solve using factoring by grouping is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
4x² - 11x - 3 = 0
4x² - 12x + x - 3 = 0
4x[x - 3] + 1[x - 3] = 0
[4x + 1][x - 3] = 0

Thus, the required equation that is rewritten and ready to solve is 4x² - 12x + x - 3 = 0. Option C is correct.

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Answer: x= 108°, y=36°, and z= 30°

Step-by-step explanation: 72 and 3y make a supplementary angle which is equal to 180°.

(3z+18) and x are corresponding angles so they're equal to each other.

a²+b²=x²

4²+3²= x²

16+9= x²

25= x²

V25= x

5= x

Answer:

A = 378 in²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the perpendicular height between the bases b₁ and b₂

here b₁ = 6 + 15 + 6 = 27 , b₂ = 15 ( equal to middle section of b₁ ), h = 18, so

A = \(\frac{1}{2}\) × 18 × (27 + 15) = 9 × 42 = 378 in²

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

The range of the function m is [1, ∞). Thus, B is correct option.

The dοmain οf a functiοn is the cοllectiοn οf values that can be plugged intο it. This set represents the x values in a functiοn like f. (x). A functiοn's range is the set οf values that the functiοn can take οn. This is the set οf values returned by the functiοn when we enter an x value.

Tο determine the range οf functiοn m, we must first determine the set οf all pοssible functiοn οutput values.

Looking at the function graph, we can see that the lowest point is (3, 1) and the highest point is (∞, ∞).

As a result, the function m has a range of [1, ∞).

We can write: in interval notation:

m ∈ [1, ∞) range.

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After answering the provided question, we can conclude that \(4^1 = 4.1 i\)s expression false. The left-hand side simplifies to 4, while the right-hand side simplifies to 4.1. These values are not equal, so the equation is false.

In mathematics, an expression is a collection of symbols, digits, and companies that portray a statistical correlation or formula. An expression can be a single number, a mutable, or a combination of both of them. Addition, subtraction, proliferation, division, and exponentiation are examples of mathematical operators.  Expressions are used extensively in mathematics, including arithmetic, calculus, and geometry. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.

\(9.9.3 = 3^5\)is false. The left-hand side of the equation is equivalent to 891, while the right-hand side is equivalent to 243. These values are not equal, so the equation is false.

\(7+7+7= 3+3+3+3+3+3+3\)is true. Both sides of the equation simplify to 21, so the equation is true.

\(1/7.1/7.1/7 = 3/7\) is false. The left-hand side simplifies to approximately \(0.000338\), while the right-hand side simplifies to approximately 0.428571. These values are not equal, so the equation is false.

\(4^1 = 4.1 i\)s false. The left-hand side simplifies to 4, while the right-hand side simplifies to 4.1. These values are not equal, so the equation is false.

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∠ A = 132°

Step-by-step explanation:

∠ A + ∠C = 180° (Angle sum of cyclic quadrilateral)

∠ A = 180° - ∠ C = 180° - 48°

∠ A = 132°

Answer:

i would say A

Step-by-step explanation:

The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

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The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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Answer:

11.52/3.2=3.6

x=3.6

I hope this is good enough:

Answer:

m∠1= 17°

m∠2=73°

m∠3=90°

m∠4=51°

m∠5=17°

m∠6=129°

Step-by-step explanation:

Hope it helps...

Have a great day!!