There are 5 red marbles, 4 blue marble, 2 green marbles, and 1 yellow marble in the bag. What is the probability of pulling out each of the following?

Answer:

20,4

Step-by-step explanation:

Suppose that x, y are the the length and width

Area=x*y=80

Parameter=2(x+y)=48....x+y=24

Xy=80...x(24-x)=80...x=20,y=4

Answer:

20,4

Step-by-step explanation:

20+20+4+4=48

20*4=80

Answer:

final displacement = - 3cm +5cm = + 2 cm

ie 2 cm towards right

Answer:

[tex]5( \frac{1}{2}x - 2)[/tex]

Answer:

A=26

Step-by-step explanation:

well, A is less than 27 so A could be 26?

The weight of the guinea pig measured in kilograms is A = 1.130 kg

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the measurement of unit be represented as A

Now , the weight of the guinea pig = 1,130 grams

where from the unit conversion

1000 grams = 1 kg

So , weight of the guinea pig measured in kilograms A = 1,130 grams / 1000

On simplifying , we get

The weight of the guinea pig measured in kilograms A = 1.130 kilograms

Therefore , the value of A is 1.13 kg

Hence , the measurement is A = 1.13 kg

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The guinea pig weight measured in kilograms is 1.13kgs.

To convert the weight of a guinea pig from grams to kilograms, you need to understand the relationship between these units:

In the metric system, 1 kilogram (kg) is equal to 1,000 grams (g).

Start with the weight of the guinea pig: 1,130 grams.

Use the conversion factor: 1,000 grams = 1 kilogram.

Divide the weight in grams by the conversion factor to find the weight in kilograms.

1,130 grams ÷ 1,000 = 1.13 kilograms.

Answer:

x³ - 10x² + 31x - 30

Step-by-step explanation:

Given

(x - 2)(x - 3)(x - 5) ← expand the second pair of factors using FOIL

= (x - 2)(x² - 8x + 15) ← distribute

= x³ - 8x² + 15x - 2x² + 16x - 30 ← collect like terms

= x³ - 10x² + 31x - 30

Answer:

20

Step-by-step explanation:

Final answer:

The least common denominator for the fractions 2/5, 1/2, and 3/4 is 20, as it is the smallest number that all denominators can divide into without leaving a remainder.

Explanation:

The least common denominator (LCD) of the fractions 2/5, 1/2, and 3/4 is the smallest number that can be divided evenly by each of the denominators (5, 2, and 4, respectively). To find the LCD, we can list out the multiples of each denominator until we find a common multiple.

The multiples of 5 are 5, 10, 15, 20, 25, and so on. The multiples of 2 are 2, 4, 6, 8, 10, 12, and so on. The multiples of 4 are 4, 8, 12, 16, 20, and so on. When we look at these lists, the smallest number that appears in all three lists is 20. Therefore, 20 is the least common denominator for the fractions 2/5, 1/2, and 3/4.

Answer:

Mean = 272.3

sd = 37.7

Step-by-step explanation:

Mean = sum/n

(221+248+251+255+259+263+264+272+291+297+374) ÷ 11

= 2995/11

= 272.2727273

Variance = (sum of x²)/n - mean²

[(221²+248²+251²+255²+259²+263²+264²+272²+291²+297²+374²)/11] - (2740/11)²

= (831067/11) - (2995/11)²

= 1419.107438

sd² = variance

sd = sqrt(1419.107438)

sd = 37.67104243

Answer:

The mean will be the best instrument to measure Royston's performance

Step-by-step explanation:

The mean will be the best measure Royston's performance will be mean as it will help to decide how well Royston performed all round

Answer:

thought it would be 7.8, could be wrong not sure

Step-by-step explanation:

42 -3= 39/5=7.8

Step-by-step explanation:

ty for the free points tho

Step-by-step explanation:

[tex] \frac{3x}{x + 1} \div (x + 1) \\ \\ = \frac{3x}{x + 1} \times \frac{1}{(x + 1) } \\ \\ = \frac{3x}{ {(x + 1)}^{2} } [/tex]

Answer:

The distance across the river from Omkar to the big rock is 72 meters.

Step-by-step explanation:

Using the given information draw as triangle as shown below.

According to angle sum property, the sum of interior angles of a triangle is 180°.

In triangle ABC,

\angle A+\angle B+\angle C=180^{\circ}

98^{\circ}+33^{\circ}+\angle C=180^{\circ}

131^{\circ}+\angle C=180^{\circ}

\angle C=180^{\circ}-131^{\circ}=49^{\circ}

The measure of angle C is 49°.

Sine formula:

\frac{a}{\sin a}=\frac{b}{\sin b}=\frac{c}{\sin c}

Using sine formula in triangle ABC, we get

\frac{AC}{\sin B}=\frac{AB}{\sin C}

\frac{AC}{\sin 33^{\circ}}=\frac{100}{\sin 49^{\circ}}

AC=\frac{100}{\sin 49^{\circ}}\times \sin 33^{\circ}

AC=\frac{100}{0.7547}\cdot0.544639

AC=72.166

AC\approx 72

Therefore the distance across the river from Omkar to the big rock is 72 meters.

Answer:

72

Step-by-step explanation:

khan academy

Answer: The distance of frog from the  base of the stump is 5.16 feet ( approx)

Step-by-step explanation:

Given, A frog sitting on a stump 3 feet high hops off and lands on the ground.

During its leap, its height h in feet is given by [tex]h= -0.5d^2 + 2d + 3[/tex], where [tex]d[/tex]  is the distance from the base of the stump.

When the stump landed on the ground, h= 0 .

So put h=0 in the given equation , we get

[tex]0=-0.5d^2 + 2d + 3\\\\\Rightarrow\ 0.5d^2-2d-3=0[/tex]

Multiply both sides by 2 , we get

[tex]d^2-4d-6=0\\\\\Rightarrow\ d=\dfrac{-(-4)\pm\sqrt{4^2-4(1)(-6)}}{2(1)}\\\\=\dfrac{4\pm\sqrt{16+24}}{2}\\\\=\dfrac{4\pm\sqrt{40}}{2}\\\\=\dfrac{4\pm2\sqrt{10}}{2}=2\pm\sqrt{10}[/tex]

[tex]i.e.\ d=2-\sqrt{10}\ \ or\ \ d=2+\sqrt{10}\\\\\ i.e. d=2-3.1622\ \ or\ \ d=2+3.1622\\\\ i.e. d= -1.1622\ \ or\ \ d=5.1622\approx5.16[/tex]

Since , distance cannot be negative.

Hence, the distance of frog from the  base of the stump is 5.16 feet ( approx).

Answer:

1.13

Step-by-step explanation:

Answer:

a) 984.6080 = 984.61 to 2 decimal places

b) 984.6080 = 984.6 to 4 significant figures

c) 984.6080 = 984.608 to 3 decimal places

d) 984.6080 = 984.61 to the nearest hundredth

Step-by-step explanation:

Answers to the approximation questions above are supplied below.

First, you needs to know approximation processes:

Step 1: Keep the required number of digits in question.

Step 2: Before rounding off the remaining digits, look at the next digit to the required number of accuracy, if it is 5 or more, increase the last digit of the number you're keeping by 1, otherwise leave it as it is and round down to zero all the unwanted digits.

Similarly, there is need know the meaning of each degree of accuracy.

1. Decimal places: These are the number of digits occurring after the decimal point. E.g. a set of figures in 1 decimal place has only one digit after decimal point, i.e. 65.4. In the case of the question above,

a) 984.6080 = 984.61 to 2 decimal places

c) 984.6080 = 984.608 to 3 decimal places

2. Significant figures: Basically, these are nonzero digits in a set of figures. However, when zero is in the middle of nonzero digits, i.e, 3045, such zero is a significant figure. In the question above,

b) 984.6080 = 984.6 to 4 significant figures

3. Hundredth: Under place value system, hundredth of a set of figures is located at two digits after the decimal point. In other words, hundredth is same as two decimal places so the same approach is required for the two. Thus;

d) 984.6080 = 984.61 to the nearest hundredth

You can see that the result for both 2 decimal places and nearest hundredth are the same, that is, 984.6080 = 984.61 to 2 decimal places and to the nearest hundredth respectively.

Therefore, the answers are summarized thus:

a) 984.6080 = 984.61 to 2 decimal places

b) 984.6080 = 984.6 to 4 significant figures

c) 984.6080 = 984.608 to 3 decimal places

d) 984.6080 = 984.61 to the nearest hundredth

Answer:

984.6080

a. 2 decimal places

984.61

b. 4 significant figures

984.6

c. 3 decimal places

984.608

d. the nearest hundredth

984.61

Answer:

A = 50.24

Step-by-step explanation:

Diameter = 8

8/2 = 4

4 is the radius

A = πr2

A = 3.14 x 42

4 x 4 = 16

A = 3.14 x 16

A = 50.24

Answer:

A = 50.24

Step-by-step explanation:

Diameter = 8

8/2 = 4

4 is the radius

A = πr2

A = 3.14 x 42

4 x 4 = 16

A = 3.14 x 16

A = 50.24

Answer:

29

Step-by-step explanation:

If all the multiples are removed, you'll be left with prime numbers only

2, 3, 5, 7, 11, 13, 17, 19, 23, 29..

The tenth prime no. is 29

Answer:

29

Step-by-step explanation:

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100

Delete all even numbers greater than 2 since they are multiples of 2

2, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99.

Now delete multiples of 3 greater than 3

2, 3, 5, 7,  11, 13,  17, 19,  23, 25,  29, 31, 35, 37,  41, 43,  47, 49,  53, 55,  59, 61, 65, 67, 71, 73,  77, 79,  83, 85, , 89, 91, , 95, 97,

We can skip all even numbers since they we all ready taken care of by deleting the evens

Now delete multiples of 5 greater than 5

2, 3, 5, 7,  11, 13,  17, 19,  23,   29, 31,  37,  41, 43,  47, 49,  53,  59, 61,  67, 71, 73,  77, 79,  83,  89, 91,  97,

Now delete multiples of 7 greater than 7

2, 3, 5, 7,  11, 13,  17, 19,  23,   29, 31,  37,  41, 43,  47,   53,  59, 61,  67, 71, 73,  79,  83,  89,   97,

There are no more numbers to delete since these are all prime numbers

29 is the 10th number in the list

Answer:

The area of the shaded triangular section is 72 square inches

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The rectangular stained glass can be divided into 24 identical triangular parts

step 1

Determine the area of complete rectangle

[tex]A=(48)(36)=1,728\ in^2[/tex]

step 2

Divide the area of complete rectangle by 24

[tex]1,728/24=72\ in^2[/tex]

therefore

The area of the shaded triangular section is 72 square inches

Answer:

72 square inches

Step-by-step explanation:

The image is shown below.

The area of a rectangle is length times width.

Length is 48 and width is 36

Hence, area of whole rectangle is:

Area = 48 * 36 = 1728

Now, the whole figure is broken down into

24 congruent triangles

So, each triangle's area is:

1728/24 = 72 square inches

The shaded region is ONE of the triangles, so the shaded region area is:

72 square inches

Answer:

-3, -6

Step-by-step explanation:

Any number of x that makes the bottom 0 makes the expression undefined.

Factor the polynomial in the denominator:

(x+3)(x+6)

Values of x that makes the expression undefined are -3 and -6

Support me by choosing my answer as the brainiest :)

Answer:

z= -2

Step-by-step explanation:

Answer:

z = -2 (plz give branliest i need to level up)

Step-by-step explanation:

8z-7z +6 = 4

z = 4 -6

z = -2

Answer:

33.6

Step-by-step explanation:

As we can see in the graph, the points:

To find a distance between two points or the length of the segment, we use the following formula:

[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Because the two points P and Q are located at the same libe y = 8

=> the lenght of PQ = [tex]\sqrt{(6- (-2))^{2} } = \sqrt{8^{2} } = 8\\[/tex]

Because the two points R and Q are located at the same libe x = 6

=>  the length of RQ = [tex]\sqrt{(8-2)^{2} } = \sqrt{6^{2} } = 6\\[/tex]

The lenght of RS is: [tex]\sqrt{(-5-6)^2+(0-2)^2} = \sqrt{-11^{2} +(-2)^{2} }[/tex] = [tex]\sqrt{125} = 11.1[/tex]

The lenght of SP is: [tex]\sqrt{(-5-(-2))^2+(0-8)^2} = \sqrt{-3^{2} +(-8)^{2} } = \sqrt{73}[/tex] = 8.5

=>  the perimeter of quadrilateral PQRS = PQ+RQ+RS+SP

= 8+6+11.1+8.5

= 33.6

Answer:33.7

Step-by-step explanation:

8+8.5+6+11.2=33.7

Answer:

the answer is B

Step-by-step explanation:

the line is a negative slope so therefore the answer must be negative, use the simple rise over run method to find the slope like normal! :)

We can find 2 points on the graph to solve for the slope; (-2, 0) and (2, -3)

Slope formula: y2-y1/x2-x1

= -3-0/2-(-2)

= -3/4

Therefore, the answer is B.

Best of Luck!

Answer:

x = 55

The angles are complementary

Step-by-step explanation:

Since those angles add up to be 90:

2x-20 = 90

Add 20 to both sides:

2x = 110

x = 55

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Answer:

see below

Step-by-step explanation:

Prove : cos²(A-B)-sin²(A+B)=cos2Acos2B

LHS,

cos²(A-B) - sin²(A+B)     (expand using double angle identities)

= [tex]\frac{1 + cos [2(A-B)]}{2} - \frac{1 - cos [2(A+B)]}{2}[/tex]

= [tex]\frac{1}{2} + \frac{1}{2} cos[2(A-B)] - \frac{1}{2} + \frac{1}{2} cos[2(A+B)][/tex]

= [tex]\frac{1}{2} cos[2(A-B)] + \frac{1}{2} cos[2(A+B)][/tex]

= [tex]\frac{1}{2} cos(2A-2B) + \frac{1}{2} cos(2A+2B)[/tex]      (expand using sum/difference identities)

= [tex]\frac{1}{2} (cos2Acos2B + sin2Asin2B ) + \frac{1}{2} (cos2Acos2B - sin2Asin2B )[/tex]

= [tex]\frac{1}{2} cos2Acos2B + \frac{1}{2}sin2Asin2B + \frac{1}{2} cos2Acos2B - \frac{1}{2}sin2Asin2B[/tex]

= [tex]\frac{1}{2} cos2Acos2B + \frac{1}{2} cos2Acos2B[/tex]

= [tex]cos2Acos2B[/tex]  (= RHS , Proven)

Answer:

D. A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 4. The bar for the second range goes to 2, the bar for the third range goes to 3.

Answer:

643.4

Step-by-step explanation:

Answer:

The answer is: 643.4

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Trust me i did the quiz and i got it right!

The correct expression is option (c) [15.35+(2.25 x 3)-2]÷3

Firstly we have to add watercolor paint box amount, brushes amount and then subtract coupon amount and lastly dividing first part by 3

The steps are as follow:

So the final expression would be [15.35+(3 x 2.25)]÷3

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Answer:72 IS THE ANSWER



Step-by-step explanation:

BRAINLIEST????? PLEASE

Number of one-fourth ounce doses are in 18 ounces is 72 doses

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Division is a simple operation in which a number is divided.

Given,

Bottle contains 18 ounces of medicine

Therefore

Number of one-fourth ounce doses are in 18 ounces = [tex]\frac{18}{0.25}=72[/tex] doses

Hence, Number of one-fourth ounce doses are in 18 ounces is 72 doses

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The probability that the backpack is pink or canvas is option (c) 0.9.

The probability that the backpack is pink or canvas can be calculated using the formula for the probability of the union of two events:

P(A or B) = P(A) + P(B) - P(A and B).

According to the question,

A represents: the event that the backpack is pink

B represents: the event that the backpack is the canvas

Substituting the given probabilities, we get:

P(pink or canvas) = 0.7 + 0.7 - 0.5 = 0.9.

So, the probability that the backpack is pink or canvas is option (c) 0.9.

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