a committee of four people is formed by selecting members from a list of 12 people. how many different committees can be formed?

Answer:

Points B, C, and D are on line n

Step-by-step explanation:

Answer:

лттьло. ьнеь е екбюедку к е. еккд

The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

What is a normal distribution?

A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.

It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.

It is also known as probability distribution curve.

The normal distribution has two parameters:

What is the shape of the normal distribution?

The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.

Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

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Answer:

x = \(-\frac{45}{15}\)

Step-by-step explanation:

We have the equation: 3 + \(\frac{3}{4} x\) = \(\frac{7}{10}\)

Move the constant (in this case the constant is 3) to the right side of the equation, changing its sign

\(\frac{3}{4} x\) = \(\frac{7}{10}\) - 3

Calculate the difference.

\(\frac{3}{4} x\) = \(-\frac{23}{10}\)

Divide.

(when dividing two fractions, you can change it to a multiplication problem by switching the numerator and denominator of the divisor.)

So, we get the equation \(-\frac{23}{10}\) x \(\frac{4}{3}\) which is \(-\frac{45}{15}\) .

I hope this helps!

Answer:

8x - 15

Step-by-step explanation:

Aera of rectangule is: length * width

Answer:

126 students this year

Step-by-step explanation:

All you got to do is multiply 42 by 3

The farmer would need to weigh the tomatoes before packing them into packages of 10. She would need to ensure that each tomato weighs close to 0.5 ounces or 5 ounces per package.

This could be done using a weighing scale that is accurate to at least one decimal place.The farmer could also sort the tomatoes by size to ensure that they are all of similar size. This could be done by using a sorting machine or by manually sorting them by size.

The farmer could also visually inspect the tomatoes to ensure that they are all of similar size. This would ensure that each package contains tomatoes of similar size.

To ensure that the tomatoes are of similar size, the farmer could sort the tomatoes by size. This could be done by using a sorting machine or by manually sorting them by size. Once the tomatoes have been sorted, the farmer would need to weigh them to ensure that each package contains tomatoes of similar weight. This could be done using a weighing scale that is accurate to at least one decimal place.

The farmer could also visually inspect the tomatoes to ensure that they are all of similar size. This could be done by comparing them to a standard size. The standard size could be a tomato of known weight or a template of the desired size. Once the tomatoes have been sorted and weighed, they can be packed into packages of 10.

The farmer would need to ensure that each package contains tomatoes of similar weight. This would ensure that the customers receive packages of tomatoes of similar size and weight.

To ensure that the tomatoes are of similar size and weight, the farmer would need to sort them by size and weigh them before packing them into packages of 10. The farmer could use a sorting machine or manually sort them by size. The tomatoes could be weighed using a weighing scale that is accurate to at least one decimal place.

The farmer could also visually inspect the tomatoes to ensure that they are all of similar size. This would ensure that the customers receive packages of tomatoes of similar size and weight.

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Answer: 5 coconuts

Step-by-step explanation:

There are 60 minutes in 1 hour

300/60=5

Answer:

5

Step-by-step explanation:

300/60= 5 per min

The sample is 7 maths classes and the parameter is their average test score.

Given,

Survey score of maths .

Mean = sum of data / Number of data

For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be

( 40 + 45+ 44 + 46 + 48) /5 = 44.6.

Given that we need to find the average of 15 maths classes.

So,

15 maths classes ⇒ population

And,

Selection is 7 maths classes

So,

7 maths classes ⇒ Sample space

Now,

Finding average test score

So,

Mean ⇒ parameter of the scenario.

Hence "The sample is 7 maths classes and the parameter is their average test score".

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The two rejection areas in using a two-tailed test and the 0.01 level of significance are:

Option e. Above 2.58 and below -2.58.

A two-tailed test is used when we want to test if the mean of a population is different from a specific value. In this case, we have two rejection areas, one in each tail of the distribution. The 0.01 level of significance means that we have a 1% chance of rejecting the null hypothesis when it is actually true.

To find the rejection areas, we need to look at the critical values for the 0.01 level of significance in a two-tailed test. These values are found in a Z-table or can be calculated using a calculator. The critical values for a two-tailed test and the 0.01 level of significance are 2.58 and -2.58. This means that any value above 2.58 or below -2.58 will be in the rejection areas and will lead us to reject the null hypothesis.

Therefore, the correct answer is e. Above 2.58 and below -2.58.

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Answer:

Explanation:

3x · 4 = 7x - (x + 17)

Simplify both sides of the equation

3x (4) = 7x − (x + 17)

3x (4) = 7x + −1 (x + 17) (Distribute the Negative Sign)

3x (4) = 7x + −1x + (−1) (17)

3x (4) = 7x + −x + −17

12x = 7x + −x + −17

12x = (7x + −x) + (−17) (Combine Like Terms)

12x = 6x + −17

12x = 6x − 17

Subtract 6x from both sides

12x − 6x = 6x − 17 − 6x

6x = −17

Divide both sides by 6

6x / 6 = −17 / 6

Simplify

x = ⁻¹⁷⁄₆

Turn the fraction into a decimal

-17 ÷ 6 = -2.83333333333

Answer:

0.149> 0.128

Step-by-step explanation:

Hope this helps!

1a) The additional information required using SAS Congruency postulate is; ∠AOB ≅ ∠BOD

1b) The additional information required using ASA Congruency postulate  is BC ≅ QR

2a) The symbolic form of the congruent triangles is written as;

ΔABC ≅ ΔADC

2b) The congruence Postulate that is used is SAS Congruency postulate.

1a) We want to prove that the triangles are congruent by SAS Congruency postulate. SAS congruency postulate denotes Side - Angle - Side. That is 2 congruent sides and the included angle. This means we have our additional information as;

∠AOB ≅ ∠BOD

1b) We want to prove that the given triangle ABC is congruent to the other triangle PQR by the ASA Congruency. ASA Congruency means 2 congruent angles and the included side. We are given;

∠Q = ∠B

∠R = ∠C.

Therefore, the additional information is BC ≅ QR

2a) The symbolic form of the given congruent triangles is expressed as;

ΔABC ≅ ΔADC

2b) The congruence postulate that was used here is SAS Congruency postulate.

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Answer:

201.06 is the area

Step-by-step explanation:

With the diameter being 16cm

The radius would be 8cm, with that information using the formula

A = π x r^2

I got 201.06 cm as the area

The circumference is 50.27 cm

I hope this helps, if not sorry

= 16 cm ÷ 2

= 8 cm

\( = \pi \times 8cm \times 8cm\\ = 3.14 \times 8cm \times 8cm \\ = 200.96 \: square cm\)

The area of the circle is 200.96 square cm.

(I have taken π as 3.14, you may take 22/7 but it will be a very long answer. So I prefer you to take π as 3.14)

Answer:

78 sq. units

Step-by-step explanation:

1/2 × (7+19) × 6 = 78

Answer:

\( {3}^{2} x - 9 = 0 \\ 9x = 9 \\ x = 1\)

Answer:

2.5 Boxs (3 boxes rounded)

Step-by-step explanation:

Moana has 6 friends and each wants 5 cookies

We multiply 6 times 5 and get 30.

30/12 is 2.5 meaning Moana will need 2 and a half boxes of cookies, or rounded up 3 boxs

Answer:

Width = 11 yards

Length = 9 yards

Step-by-step explanation:

Area = length * width      length = x      width = w

Area = 99

width = x + 2

length = x

99 = (x) (x+2)

99 = x^2 + 2x

x = 9, or -11

Since we are talking about length we know x can't be -11, so we can rule that answer out.

We now know x = 9, so the length is 9 yards, now we only need to plug in 9 as x in the width equation.

w = 9 + 2

w = 11

The width is 11 yards and the length is 9 yards.

Answer:

The factored form of the equation is f(x) = (x - 2)(x + 10), which makes the zeros of the function x = -10 and x = 2.

In order to factor a quadratic like this, you must find factors of the constant (in this case -20). The pairs of factors are listed below.

1 and -20

-1 and 20

2 and -10

-2 and 10

4 and -5

-4 and 5

Now we must pick out the pair that add to the coefficient of x.

1 and -20

-1 and 20

2 and -10

-2 and 10

4 and -5

-4 and 5

Once you've picked out those numbers, you can place each in a parenthesis with x.

f(x) = (x - 2)(x + 10)

Then to find the zeros to the equation, set each parenthesis equal to 0 and solve.

x - 2 = 0

x = 2

x + 10 = 0

x = -10

Step-by-step explanation:

hope this helps:)

The probability that he can fit without bending is 0.9938.

We have,

Mean = 69

standard Deviation = 2.8

So, The probability that he can fit without bending is

z= (x - \(\mu\)) / \(\sigma\)

z = (76 - 69)/2.8

z = 2.5

z = 2.5

and, P- value for 2.5 = 0.9938.

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Answer: The answer is {(0,0)} !

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

Total no of bracelets = 5s+28

Step-by-step explanation:

Let Sarah made s bracelets.

Maria made 7 more than Sarah i.e. 7+s

Julie made 3 times as many as Maria i.e. 3(7+s)

Total no of bracelets made is equal to the sum of the bracelets made by Sarah, Maria and Julie.

Total = s+ 7 + s + 3(7+s)

= 2s+7+21+3s

=2s+3s+21+7

= 5s+28

So, there are (5s+28) bracelets.

A) The new box with dimensions 10cm by 10cm by 3cm holds more cereal.

B) The new box with dimensions 10cm by 10cm by 3cm requires more material to make.

To determine which box holds more cereal, we need to calculate the volume of each box.

The volume of a rectangular box is given by the formula:

Volume = Length × Width × Height

Let's calculate the volumes for both boxes:

Original Box:

Length = 8 cm

Width = 3 cm

Height = 11 cm

Volume = 8 cm × 3 cm × 11 cm = 264 cm³

New Box:

Length = 10 cm

Width = 10 cm

Height = 3 cm

Volume = 10 cm × 10 cm × 3 cm = 300 cm³

A) The new box with dimensions 10cm by 10cm by 3cm holds more cereal because it has a larger volume of 300 cm³ compared to the original box with a volume of 264 cm³.

To determine which box requires more material to make, we need to calculate the surface area of each box.

The surface area of a rectangular box is given by the formula:

Surface Area = 2 × (Length × Width + Length × Height + Width × Height)

Let's calculate the surface areas for both boxes:

Original Box:

Length = 8 cm

Width = 3 cm

Height = 11 cm

Surface Area = 2 × (8 cm × 3 cm + 8 cm × 11 cm + 3 cm × 11 cm) = 374 cm²

New Box:

Length = 10 cm

Width = 10 cm

Height = 3 cm

Surface Area = 2 × (10 cm × 10 cm + 10 cm × 3 cm + 10 cm × 3 cm) = 380 cm²

B) The new box with dimensions 10cm by 10cm by 3cm requires more material to make because it has a larger surface area of 380 cm² compared to the original box with a surface area of 374 cm².

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Step-by-step explanation:

'a' region is    53  out of (53+81+106+85 + 64 = 389)

53/389 ths of the 360 degree circle would be the  a's

53/389  * 360 =    49 degrees

The value of the function (f/g)(x) is (x+5)/(3x+5) if f(x) = 3x² + 10x - 25

g(x) = 9x²-25.

The earliest known attempt to the concept of function may be traced back to the works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. The concept of a function was codified in terms of set theory at the end of the nineteenth century, which substantially expanded its realms of applicability.

Given,

f(x) = 3x² + 10x - 25

g(x) = 9x² - 25

To find (f/g)(x) divide f(x) by g(x)

(f/g)(x)=(3x²+ 10x-25)/(9x²-25)

We have to factorize both the numerator and denominator

For the numerator

3x²+10x-25

3x²+15x-5x-25

3x(x+5)-5(x +5)

(3x-5 )(x+5)

For the denominator

9x² - 25

(3x)² - 5²

We have to use the formula,

a²- b² = (a+b)(a-b)

(3x)²-5² = (3x+5)(3x-5)

Therefore,

(f/g)(x)=(3x-5)(x+5)/(3x+5)(3x-5)

By simplifying we get,

(f/g)(x)=(x+5)/(3x+5)

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The main difference between the SSS and SAS postulates is the type of information used to determine congruence

The SSS (Side-Side-Side) and SAS (Side-Angle-Side) postulates are two methods used in geometry to determine if two triangles are congruent.

The SSS postulate states that if two triangles have all three sides in the same measures, then the two triangles are congruent.

The SAS postulate states that if two triangles have two sides and the included angle (the angle between the two sides) in the same measures, then the two triangles are congruent.

The main difference between the SSS and SAS postulates is the type of information used to determine congruence. The SSS postulate uses the lengths of all three sides of the triangles to determine congruence, while the SAS postulate uses the lengths of two sides and the measure of the included angle.

Both the SSS and SAS postulates can be used to determine if two triangles are congruent, but they are not interchangeable. The SSS postulate can only be used if the two triangles have all three sides in the same measures, and the SAS postulate can only be used if the two triangles have two sides and the included angle in the same measures.

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Answer:

9 - b = ? 9 - 8 = 1 So, your answer is 1.

Step-by-step explanation:

Answer:

The jug weights empty 1.2 kg.