8 of 8
Work out the mean for the data set
below:
2.3, 0.3, 7,6.1, 9.7
Give your answer as a decimal.

Answer:

2

Step-by-step explanation:

[tex]12x {}^{2} + 4x - 3x - 1 = 0 [/tex]

[tex]4x \times (3x + 1) - (3x + 1) = 0[/tex]

[tex](3x + 1) \times (4x - 1) = 0[/tex]

[tex]3x + 1 = 0 \\ 4x - 1 = 0[/tex]

[tex]x = - \frac{1}{3} \\ x = \frac{1}{4} [/tex]

I hope this helps :)

Answer:

name=circle area= 2 x pi x 6square

Step-by-step explanation:

Answer:

Step-by-step explanation:

Name of a figure=circle

radius=diameter/2

=12/2

=6

area=πr^2

=3.14*(6)^2

=3.14*36

=113.04 in^2

Answer:

The solutions are  x=6,x=12

Step-by-step explanation:

solution is in the file attached below

Answer:

693

Step-by-step explanation:

11, 22, 44, 88, 176, 352

11 + 22 + 44 + 88 + 176 +352 = 693

Answer:

Step-by-step explanation:

(2x - 6)(3x - 2)

= 2x(3x - 2) - 6(3x - 2)

[tex] = 6 {x}^{2} - 4x - 18x + 12[/tex]

[tex] = 6 {x}^{2} - 22x + 12 \: (ans)[/tex]

Answer: [tex]h=8.33\ cm[/tex]

Step-by-step explanation:

Given

The length of a cuboid is [tex]l=15\ cm[/tex]

breadth is [tex]b=12\ cm[/tex]

Total surface area is [tex]S.A.=900\ cm^2[/tex]

Surface area is given by [tex]2(lb+hl+bh)[/tex]

Insert the values

[tex]\Rightarrow 900=2(15\times 12+15h+12h)\\\Rightarrow 450=225+27h\\\Rightarrow 225=27h\\\Rightarrow h=8.33\ cm[/tex]

Answer:

x = 46.7°

Step-by-step explanation:

We are given:

1.) Angle x

2.) Side opposite to angle x

3.) Hypotenuse

We have to find angle x, therefore Sin ratio would be used;

Sin(x) = Opposite / hypotenuse

Sin(x) = 4 / 5.5

x = Sin⁻¹(4/5.5)

x = 46.7°

Hope this helps!

Answer:

15

Step-by-step explanation:

4+3.85x=61.75

3.85x=57.75

x=15

Answer:

Amount the driver saved = £408.22

Step-by-step explanation:

Let the original price be = x

Discount % = 55%

Given price after discount = £334

Price after discount = x - (55% of x )

                   [tex]334 = x - (\frac{55}{100} \times x)\\\\334 = \frac{100x - 55x }{100}\\\\334 \times 100 = 45x\\\\x = \frac{334 \times 100}{45} = 742.22[/tex]

Therefore original price = £742.22

Amount the driver saved = 742.22 - 334

                                      = £408.22

Answer:

0.2

Step-by-step explanation:

When rounding to a certain place, check to see if the number to the left of that place is five or above. If it is, round up. If its not, round down.

Rounding 0.18 to one decimal place, we get the value of 0.2.

To round 0.18 to one decimal place, we need to look at the digit in the tenths place (the first digit after the decimal point).

In this case, the tenths place digit is 8. To round to one decimal place, we follow the general rounding rule: if the tenths place digit is 5 or greater, we round up; if it is 4 or less, we round down.

Since the tenths place digit in 0.18 is 8, which is greater than 5, we need to round up.

Thus, rounding 0.18 to one decimal place, we get:

0.2

The rounded value is 0.2, as it is the nearest value when rounded to one decimal place.

Therefore, 0.18 rounded to one decimal place is 0.2.

To learn more about rounding click on,

https://brainly.com/question/293610

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Answer:

1682

Step-by-step explanation:

2120 grams of sand in bucket - 438 grams of sand in cup = 1682 :)

Answer:1682

Step-by-step explanation:

Answer:

Complementary angles

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees.

Answer:

complementary

Step-by-step explanation:

The angles are part of a right angle as shown by the square.

Complementary angles are angles that add up to 90˚

since x-15 and 2x are parts of the right angle, they add up to 90

Given:

The diameter of the circle = 14 cm

To find:

The area of the circle.

Solution:

We have,

Diameter of the circle = 14 cm

We know that the radius of the circle is half of its diameter. So,

[tex]r=\dfrac{14}{2}[/tex]

[tex]r=7\text{ cm}[/tex]

The area of a circle is:

[tex]A=\pi r^2[/tex]

Substituting [tex]\pi=\dfrac{22}{7}, r=7[/tex] in the above formula, we get

[tex]A=\dfrac{22}{7}\times (7)^2[/tex]

[tex]A=22\times 7[/tex]

[tex]A=154[/tex]

Therefore, the area of the circle is 154 square cm.

Answer:

60°

Step-by-step explanation:

180 - 33 - 187 = 60

Answer:

[tex]x=60\\y=120[/tex]

Step-by-step explanation:

A triangle is always 180 degrees...

Form an equation to solve:

[tex]x+33+87=180[/tex]

[tex]x+120=180[/tex]

[tex]x=180-120[/tex]

[tex]x=60[/tex]

To find y:

(Angles on straight line = 180)

[tex]y=180-x[/tex]

(replace x with 60)

[tex]y=180-60[/tex]

[tex]y=120[/tex]

hope this help :)

Problem 11

Answer: Angle C and angle F

Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.

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

Problem 12

Answer: 100 degrees

Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.

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

Problem 13

Answer: 80 degrees

Explanation: This was mentioned earlier in problem 11.

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

Problem 14

Answers: complement = 50, supplement = 140

Explanation: Complementary angles always add to 90. Supplementary angles always add to 180. An example of supplementary angles are angles E and F forming a straight line angle.

Answer:

I think...I repeat I am not sure. The answer is C.

Answer:

The correct answer would be D

9x=5(x=35)

Step-by-step explanation:

If this doesn't help I can fix it. I'm sorry in advance if it is incorrect.

Answer:

204 out of 400 students are boys; 204

Step-by-step explanation:

x/400 = 51/100

100x = 51 x 400

100x = 20400

100x/100 = 20400/100

x = 204

DEKU

Answer:

201-boys   199-girls

i dont think if my answer are right..

Step-by-step explanation:

General equation for slope-intercept form

y = mx+c

comparing the given eqn with this ,

m= slope = 2

Step-by-step explanation:

• no solution:

3x+9+4x+x = 8x + 9

• one solution:

3x+9+4x+x = 7x + 11

• infinitely many solutions:

3x+9+4x+x = 8x + 11

Answer:

It is D, I think it’s because the letters need to be around in the same order

The angle corresponding to each other of different triangle are equal.

"Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion".

Here given,

[tex]\triangle JGR[/tex] is similar to triangle [tex]\triangle MST[/tex]

So, from the definition of similar triangle ,

angle J ≅ angle M

angle G ≅ angle S

angle R ≅ angle T

Hence, option D is correct.

To know more similar triangle here

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Answer:

31 questions, but it's impossible to score 75%.

Step-by-step explanation:

It's impossible to get exactly a score of 75% out of 42 questions. However, you can get the next closest percentage, which is rounded up to 74% with 31 questions right out of 75.

This is because 31 / 42 = 0.738... You can round 0.738 to 0.74. Then multiply 0.74 by 100, which gives you 74. This means the closest score you can get to 75 is 74% with 31 questions.

You can also score 76% with 32 questions right out of 42 questions. This is because 32 / 42 = 0.761... You can round 0.761 to 0.76. Then multiply 0.76 by 100, which gives you 76.

Answer:

[tex]P(B) = 0.90[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.1[/tex]

[tex]P(A\ or\ B) = 0.93[/tex]

[tex]P(A\ and\ B) = 0.07[/tex]

Required

[tex]P(B)[/tex]

To do this, we make use of:

[tex]P(A\ or\ B) + P(A\ and\ B) = P(A) + P(B)[/tex]

Make P(B) the subject

[tex]P(B) = P(A\ or\ B) + P(A\ and\ B) - P(A)[/tex]

So, we have:

[tex]P(B) = 0.93 + 0.07 - 0.1[/tex]

[tex]P(B) = 0.90[/tex]

Answer:

Hello! answer: 250

Step-by-step explanation:

10 × 5 = 50

10 × 5 = 50

10 × 5 = 50

10 × 5 = 50

5 × 5 = 25

5 × 5 = 25

50 × 4 = 200

200 + 25 + 25 = 250 the total surface area is 250 hope that helps!

Answer:

Top left Equation:  [tex]\frac{2}{3} + (- 2 \frac{1}{3} ) = - 1 \frac{2}{3}[/tex]

Step-by-step explanation:

You start at 2/3, or the left side.

Since the line is directing left, you are subtracting, or adding a negative.

If you see, you are moving 7 - 1/3s to the left

7 x 1/3 = 7 / 3

7 / 3 = 2 1/3

And 2/3 + (-2 1/3) = -1 2/3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

can you add a picture or something to work with?

Answer:

[tex] A)\displaystyle2 < x < 3[/tex]

Step-by-step explanation:

A compound inequality is an inequality that combines two simple inequalities

we are given that

[tex] \displaystyle 4x - 4 < 8 \ \: \text{and} \: \: 9x + 5 > 23[/tex]

solving x for the first equation:

[tex] \displaystyle 4x - 4 < 8[/tex]

add 4 to both sides:

[tex] \displaystyle 4x < 12[/tex]

divide both sides by 4 and since we are dividing both sides by a positive number the inequality won't swap

[tex] \displaystyle x < 3[/tex]

solving x for the second equation:

[tex] \displaystyle 9x + 5 > 23[/tex]

cancel 5 from both sides:

[tex] \displaystyle 9x > 18[/tex]

divide both sides by 9 and since we are dividing both sides by a positive number:

[tex] \displaystyle x > 2[/tex]

therefore by combining the equations we obtain:

[tex] \displaystyle\boxed{2 < x < 3}[/tex]

hence,

our answer is A)

Answer:

D

Comment if you need step by step. I assumed you needed it fast

Answer:

[tex]y = \frac{5}{4} x - 5[/tex]