Q
7/0
The mean weight of 8 girls in a group is 35 kg. The individual weights of seven of then
are 35kg, 28kg, 43kg, 25kg, 33kg, 51kg, and 22kg. Find the weight of the 8th girl.

Answer:

[tex]x = \dfrac{\sqrt{22}}{2}[/tex]

Step by step explanation:

[tex]\text{This is an isosceles right triangle}~ \left(45^{\circ} - 45^{\circ} - 90^{\circ}\right).\\\\\text{Apply Pythagorean theorem,}\\\\~~~~~~\left(\sqrt{11}\right)^2 =x^2 +x^2 \\\\\implies 11 = 2x^2 \\\\\implies x^2 = \dfrac{11}2\\\\\implies x = \sqrt{\dfrac{11}{2}}\\\\\implies x = \dfrac{\sqrt{11}}{\sqrt 2}\\\\\implies x = \dfrac{\sqrt{11}\sqrt 2}{2}\\\\\implies x = \dfrac{\sqrt{22}}{2}[/tex]

1. 16

2. 2, 21

3. 2

4. 42

Hope that helps!

Answer:

ELA

Step-by-step explanation:

you add ela to a bonus points

Answer:

PLA + ELA = 90

Step-by-step explanation:

lol

Answer:

1, 2, 3, 7, 10

Step-by-step explanation:

Answer:

Hi the correct answer will be C, E, and F.

Step-by-step explanation:

Why C? 23 is greater than 16

Why E? 23 is greater than or equal to 16. Remember here says "or"

Why F? 23 is not equal to 16.

Answer:

always, always, never, always, always  

Step-by-step explanation: brainliest?

wait what how did you get that many

Step-by-step explanation:

Answer: 100000000000

Step-by-step explanation:

black market loves childern

The clusters in the data is the cluster with the most circles together in the middle and this can be found at two point which are red dot (clusters) between 3.5-5 and 10 - 11.5 in the y axis.

A data cluster is known to be a kind of subpopulation of a bigger dataset where each data point are known to very close to the cluster center than to other cluster centers as seen in a the dataset.

Therefore, one can say that The clusters in the data is the cluster with the most circles together in the middle and this can be found at two point which are red dot (clusters) between 3.5-5 and 10 - 11.5 in the y axis.

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Answer: Choice A)  x ≥ -3

Reason:

The graph has a closed filled in circle at -3, which means we include this value. So we'll have "or equal to" as part of the inequality sign.

We'll also have "greater than" because we're shading to the right.

Hence, we have "greater than or equal to".

Put another way, x = -3 or x > -3 are two possibilities.

If the endpoint at -3 was an open hole, then we'd exclude the endpoint and go for x > -3 instead of x ≥ -3

Answer:

X≥-3

Step-by-step explanation:

Inequalities represent a range of values, rather than a single value.

Let us consider the inequality

x > - 3

This would mean can be any value greater than -3, not including -3.

This is represented by a line starting from -3 and extending indefinitely (marked by an arrow head). Note that at -3, there is a small empty circle which represents that -3 is not included.

In case the inequality was

x > -3

It would mean that -3 has also been included.

In case you can't draw on the number line, you can also show the range just above the number.

Answer:

y = 56/3

Step-by-step explanation:

Distribute:

37 - (y - 19) = 2y

37 - y + 19 = 2y

Add the numbers:

37 - y + 19 = 2y

56 - y = 2y

Rearrange the terms:

56 - y = 2y

-y + 56 = 2y

Solution:

y = 56/3

The exponential form when [x²y³)^(¹/₃)]/[∛x²y] is  simplified gives us; [x^(²/₃) * y]/[x^(²/₃) * y^(¹/₃)]

The power of a digit defines a base number raised to the exponent, where base number is the factor which is multiplied by itself while exponent denotes the number of times the same base number is multiplied.

We want to simplify the exponents; [x²y³)^(¹/₃)]/[∛x²y]

Using rule of exponents, we have;

[x^(²/₃) * y]/[x^(²/₃) * y^(¹/₃)]

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Answer:

C. 91.46

Step-by-step explanation:

Use BODMAS!

Answer:

C. 91.46

Step-by-step explanation:

Using Pemdas to solve:

5.9 (9 - 5) + 4^3 + 3.86

First you have to solve in the parenthesis

5.9 (9 - 5) + 4^3 + 3.86

= 4

New equation:

5.9 x 4 + 4^3 + 3.86

Now solve the exponent:

5.9 x 4 + 4^3 + 3.86

= 64

New equation:

5.9 x 4 + 64 + 3.86

Now we have to do multiplication:

5.9 x 4 + 64 + 3.86

= 23.6

New equation:

23.6 + 64 + 3.86

Now all you have to do is add all that together and you have your answer:

23.6 + 64 + 3.86

= 91.46

Hope this helps.

Answer: 16 centimeters

Step-by-step explanation:

    We will use the Pythagorean theorem to solve. The c variable is the hypotenuse, the a and b variables are the legs.

a² + b² = c²

12² + b² = 20²

144 + b² = 400

b² = 256

b = [tex]\sqrt{256}[/tex]

b = 16

          The length of the other leg is 16 centimeters.

Answer:

The other leg is 16 cm long.

Explanation:

Use the Pythagorean theorem:

[tex]c^2=a^2+b^2[/tex],

where:

[tex]c[/tex] is the hypotenuse, and [tex]a[/tex] and [tex]b[/tex] are the other two sides (legs).

Let [tex]a=12[/tex] [tex]cm[/tex]

Rearrange the equation to isolate [tex]b^2[/tex]. Plug in the values for [tex]a[/tex] and [tex]c[/tex], and solve.

[tex]b^2=c^2-a^2[/tex]

[tex]b2=(20 cm)^2-(12 cm)^2[/tex]

Simplify.

[tex]b^2=400 cm^2-144cm^2[/tex]

[tex]b^2=256 cm^2[/tex]

Take the square root of both sides.

[tex]b=\sqrt{256cm^2}[/tex]

Simplify.

[tex]b=16[/tex] [tex]cm[/tex]

The two triangles are similar as the angle of incidence is equal to the angle of reflection because the light ray selects the shortest path to reach the destination.

The angle of reflection is the angle between a reflected ray and the normal drawn at the point of incidence to a reflecting surface.

When light is reflected from a surface, then the angle of incidence is always equal to the angle of reflection, where the angles are measured from the path of the light to the normal to the surface at the point at which light strikes the surface. Therefore, the angle of incidence is congruent to the angle of reflection.

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You would likely score 4 goals in 12 games

The given parameters are:

The expected number of goals is calculated as:

E(x) = p * Total

This gives

E(x) = 33.3% * 12

Evaluate

E(x) = 4

Hence, you would likely score 4 goals in 12 games

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Answer:

Step-by-step explanation:

a) Out of 5, 1 only one is wrong. So number of questions answered correctly is (4/5)

To find the percentage, multiply (4/5) by 100

    [tex]\sf \dfrac{4}{5}*100 = 4* 20 = 80 \%[/tex]

b) It is not possible to find the actual score because we don't know how many questions were there actually and the score for each question.

Answer:

jajajjajaja

Step-by-step explanation:

sdfgsdfgsdfg

Answer:

Sample Space

= { HHHH ,  HHHT, HTHH , HHTT , HHTH , HTHT , HTTH , HTTT , TTTT , TTTH ,THTT, TTHH ,TTHT ,THTH, THHT ,THHH}

n(S) = 16

at least three coins land facing tails up T= { HTTT , TTTT , TTTH ,THTT,  TTHT    }

n(T)=5

P(at least three tails) = n(T)/n(S)  =  5/16

∴ the percentage is = 31.25%

Step-by-step explanation:

Answer:

What is the value of x in the equation?

Step-by-step explanation:

Answer: I attached the graph.

Step-by-step explanation:

The graph is reflected across the y-axis, then the equation of the new graph will be y = 3⁻ˣ + 1.

A statement, principle, or policy that creates the link between two variables is known as a function.

The graph of the equation y = 3ˣ + 1 is shown below.

If the graph is reflected across the y-axis, then the equation of the new graph will be

y = 3⁻ˣ + 1

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Answer:

the answer is -5.3 hopes this helps

Step-by-step explanation:

6a+5b=?

6(4.2)+5(-1.9)=?

6(4.2)= 25.2

5(-1.9)= -9.5

4.2 - 9.5= -5.3

The value of the expression (6a + 5b) when a = 4.2 and b = -1.9 will be 15.7.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given as,

⇒ 6a + 5b

The value of the expression at a= 4.2 and b = - 1.9 is calculated as,

⇒ 6 x 4.2 + 5 x (-1.9)

⇒ 15.7

The value of the expression (6a + 5b) when a = 4.2 and b = -1.9 will be 15.7.

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Answer:

0.68 meters per minute

Step-by-step explanation:

102.62 - 101.94 = 0.68, so Harry is 0.68 meters per minute faster than Gwen.

Answer:

0.68 m/min.

Step-by-step explanation:

Given :

⇒ Harry's speed = 102.62 m/min.

⇒ Gwen's speed = 101.94 m/min.

===============================================================

Solving :

⇒ Difference = Harry's speed - Gwen's speed

⇒ Difference = 102.62 - 101.94

⇒ Difference = 0.68 m/min.

Answer: d) 0

Step-by-step explanation:

     With the inequality given, y ≤ -1, solutions are -1 and all numbers less than -1. We will check all the options to see which is not a solution.

     a) -3 ✓

           -> This is not our answer. -3 is less than -1.

     b) -1 ✓

           -> This is not our answer. -1 is equal to -1.

     c) -6 ✓

           -> This is not our answer. -6 is less than -1.

     d) 0 ✗

           -> This is our answer! 0 is not less than -1.

Answer:

The answer is d

Step-by-step explanation:

the area of a rectangle is

length × width

I am sure you discussed and learned this in class, otherwise you would not get such a problem to solve.

it is a really simple thing : just multiply the 2 numbers.

the area of the shop is

10 × 6 = 60 m²

the really important thing is not to forget that the result is not measured in meters, as this is no longer just a 1- dimensional length. since we multiplied two meter lengths, it is measured in square meters, which are squares of 1 meter side length, and we say how many such squares fit into the area.

The equation of the sine curve is y = sin(7.59x)

The complete question is added as an attachment.

The sine function is given as:

y = sin(bx)

And the value of b is given as:

b = 2π/T

Where T = 0.828

Substitute T = 0.828 in b = 2π/T

b = 2π/0.828

Evaluate

b = 7.59

Substitute b = 7.59 in y = sin(bx)

y = sin(7.59x)

Hence, the equation of the sine curve is y = sin(7.59x)

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Answer:

≈ 240,000,000 people

Step-by-step explanation:

[tex]3.1 \cdot 5 = 15.5[/tex]

[tex]15.5[/tex] ≈ [tex]16[/tex]

[tex]Y = X(1 - P\%)\\Y = 282,000,000(1 - 16\%)[/tex]

[tex]p = 16\%/100 = 0.16\\Y = 282,000,000(1 - 0.16)\\Y = 282,000,000(0.84)\\Y = 236,880,000\\[/tex]

[tex]236,880,000[/tex] ≈ [tex]240,000,000[/tex]

Answer:

1. P(2 or 4) - 2/3

2. P(multiple of 2) - 1

3. P(multiple of 3) - 1/3

4. P(odd prime numbers) - 0

Step-by-step explanation:

Good luck lol

P(2 or 4) =  2/3

P( multiple of 2) = 1

P( multiple of 3) = 1/3

P(odd prime numbers) = 0

Probability is the likelihood of an event happening or not.

Analysis:

possible outcome = (2,2,4,4,6,6) = 6

P(2 or 4)

n( 2) = required outcome = (2,2) = 2

P(2) = 2/6 = 1/3

n(4) = (4,4) = 2

P(4) = 2/6 = 1/3

P(2 or 4) = 1/3 + 1/3 = 2/3

n( multiple of 2) = (2,2,4,4,6,6) = 6

P( multiple of 2) = 6/6 = 1

n(multiple of 3) = (6,6) = 2

P(multiple of 3) = 2/6 = 1/3

P(odd prime numbers) = 0

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