Use the magnitudes​ (Richter scale) of the earthquakes listed in the data set below. Find the mean and median of this data set. Is the magnitude of an earthquake measuring 7.0 on the Richter scale an outlier​ (data value that is very far away from the​ others) when considered in the context of the sample data given in this data​ set? Explain.

Note: Consider x be the breadth of the box.

Given:

The surface area of the box is 204.25 square feet.

Length of the box = 10 ft

Breadth of the box = x ft

Height of the box = 6.5 ft

To find:

The value of x.

Solution:

The surface area of a cuboid is:

[tex]SA=2(lb+bh+hl)[/tex]

Where, l is length, b is breadth and h is height of the cuboid.

Putting [tex]SA=204.25,  l=10,\ b=x,\ h=6.5[/tex] in the above formula, we get

[tex]204.25=2(10\times x+x\times 6.5+6.5\times 10)[/tex]

[tex]204.25=2(10x+6.5x+65)[/tex]

[tex]204.25=2(16.5x+65)[/tex]

Using distributive property, we get

[tex]204.25=2(16.5x)+2(65)[/tex]

[tex]204.25=33x+130[/tex]

[tex]204.25-130=33x[/tex]

[tex]74.25=33x[/tex]

Divide both sides by 33.

[tex]\dfrac{74.25}{33}=x[/tex]

[tex]2.25=x[/tex]

Therefore, the correct option is B.

Answer:

-3/7

Step-by-step explanation:

Parallel lines have the same slope

If the green line has a slope of -3/7, the red line has a slope of -3/7

Answer:

X= 9//

Step-by-step explanation:

abc = efg

ac + cd = eg + gh

9 + (x+2) = 6 + (2x-4)

9 - 6 = 2x-4 - (x+2)

3 = x - 6

3+6 = x

9 = x//

Answer: Well this one is simple too.

ATQ Angle 4 is 73° so the vertically opposite angle that is angle to will be the same, 73°.

now for the rest two.

lets find angle 1 first. If we find any one from this we can automatically get the other as they are vertically opposite angles.

Angle 1= 180 - Angle 4

Angle 1 = 180-73=107°

We found this coz the Angle 1 and 4 are on the same line which will form a straight angle.

hence, Angle 4 and 2 = 73°

Angle 1 and 3= 107°

Hope it helps. Pls mark brainliest

Answer:

14x+8

Step-by-step explanation:

Answer:

14x+8

Step-by-step explanation:

x is a like term here so we can do 17x-3x

17x-3x=14x. 8 has no like terms so it will be 14x+8

Answer:

$ 36.00

Step-by-step explanation:

Tip Total: $ 7.20

Total (Bill + Tip): $ 36.00

hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello

Step-by-step explanation:

hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello

Answer:

22 feet²

Step-by-step explanation:

We are given:

height of tree h = 45 inches

Circumference= πd × inches

But d = 22.2inches

Therefore area will be

Area = 22.2π × 45 inches²

Area = 3137 inches²

Let's convert from inches² to feet², we have:

1 foot = 12 inches.

Therefore,

1 square foot = 1foot × 1foot = 12inches×12inches

= 3137inches² / 144 inches²

= 22feet²

Note: I attached missing data which states that diameter at year 13 is 22.2inches

Answer: 22

Step-by-step explanation:

simple

Answer:

A) DC equals EC times AC all over BC.

Step-by-step explanation:

We know that:

[tex]DE\parallel AB[/tex]

Then by corresponding angles:

[tex]\angle CAB\cong \angle CDE\text{ and } \angle CBA\cong \angle CED[/tex]

So, by AA-Similarity:

[tex]\Delta CDE\sim \Delta CAB[/tex]

Corresponding sides of similar triangles are in proportion. Hence:

[tex]\displaystyle \frac{DC}{AC}=\frac{EC}{BC}[/tex]

By multiplying both sides by AC:

[tex]\displaystyle DC=\frac{EC\cdot AC}{BC}[/tex]

DC is equal to EC times AC over BC.

Hence, our answer is A.

Answer:

 DC equals EC times AC all over BC

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Probability is the number of desirable outcomes divided by the number of total outcomes. We can tell these events depend on each other because the batteries are picked without replacement. To find the probability of two dependent events, event that depend on each other, we can find the probability of the first event and the probability of the second event happens if the first is given and multiply them. In this case, the first event is selecting a used battery and the second is picking a new battery.

The total number of outcomes the basically the total amount of batteries that can be chosen. This is 15 + 10 or 25 outcomes. 10 of these batteries are used, and that would correspond to the amount of desirable outcomes because we want to pick a used one. From this, we can say the probability of picking a used battery is 10/25 which simplifies to 2/5.

To find the probability of picking a new battery after picking a used one, we can start by stating the amounts of each battery before the second draw. Since we already picked a used battery, our new totals will be 24 batteries, which 9 are used and 15 are new. Now, we can do the same thing a before, the number of desirable outcomes over the total. We get 15/24 which simplifies to 5/8.

To find the total probability, we multiply the two getting: 2/5 * 5/8 = 1/4.

Hope this help!!!

Have a nice day!!!

The angle between the end of the shadow and the vertical side of the building is approximately 70.4°.

The tangent function to find the angle between the end of the shadow and the vertical side of the building. Let x be the measure of the angle, in degrees. Then:

tan(x) = opposite/adjacent

tan(x) = 230/80

tan(x) = 2.875

To solve for x, we take the inverse tangent of both sides:

x = tan⁻¹(2.875)

x ≈ 70.4

Therefore, the angle between the end of the shadow and the vertical side of the building is approximately 70.4°.

To know more about an angle follow

https://brainly.com/question/13959018

#SPJ2

[tex]924 - (383 + 356 + 2 + 5 )[/tex]

Answer:

Step-by-step explanation:

total no. of people in the theatre = 924

men=383

women=356

boy children =2

doing workout 5

total=746

no. of girls= 924-746=178

Therefore, the number of girls are in the theatre are 178.

Answer:

1.2 hours

Step-by-step explanation:

Recall :

Distance = speed * time

Let the time taken = x

Creating an equation for the question :

Distance of train A + Distance of train B = 192

70 * x + 90 * x = 192

70x + 90x = 192

160x = 192

x = 192 / 160

x = 1.2

It takes 1.2 hours to be 192 miles apart.

Answer:

165 square ft

Step-by-step explanation:

Answer:

10x70=700

Step-by-step explanation:

Answer:

700

Step-by-step explanation:

7 x 10 = 700

Answer:

a. 24 woman

b. 28 men and 24 women

Step-by-step explanation:

a.

given: men to women = 7:6

find: number of women

solution: 28 / 7 = 4, 4 * 6 = 24 women

b.

given: number of men

find: number of men and women

solution: 28 men and 24 women

hope this helps....

Answer:

A) 24 women

B) 52 men and women are at the meeting

Step-by-step explanation:

A)

Let y = women at the meeting

7:6 = 28:y

7/6 = 28/y

6×38 = 7y

6×28⁴/7¹ = 7y¹/7¹

y= 6×24

y=24

B)

Number of women at the meeting = 24

Number of men at the meeting = 28

Total number of people at the meeting = 24+28

= 52

Answer:

it the first diagram for this question.

Answer:

5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

This is a special right triangle, the side length that sees 30 degrees is equal to 5 then the side length that sees 90 degrees is 10 and the side length that sees angle measure 60 degrees is 5[tex]\sqrt{3}[/tex]

Answer:

the anwser is b

Step-by-step explanation

you need to replace the letters with the numbers and youll see

Answer:

too blurry cant read it

Step-by-step explanation:

.........................................................

Answer:

153.94

Step-by-step explanation:

A=πr2=π·72≈153.93804

hope this helps!

please mark brainiest<3

Answer:

12:5

Step-by-step explanation:

Answer:

See below. Remember to take the inverse trig function of both sides!

Step-by-step explanation:

The solution to [tex]tanx=\frac{23}{41}[/tex] is [tex]x=tan^{-1}(\frac{23}{41})=29.29136217^\circ[/tex]

Similarly, the solution to [tex]sinx=\frac{23}{45}[/tex] is [tex]x=sin^{-1}(\frac{23}{45})=30.73786867^\circ[/tex]

Answer:

P = 660,592

Step-by-step explanation:

p = [tex]222,000 (1+.0875)^{t}[/tex]

P = [tex]222,000 (1+.0875)^{13}[/tex]

P = 660,592

Answer:

b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).

Step-by-step explanation:

The critical value for one tailed test is t ∝(7) > 1.895

A one tailed test is performed to test the claim that advertisements were viewed more in the morning (before noon) or in the evening (after 5pm)

The null and alternative hypotheses are

H0: μm = μe   vs     Ha μm > μe

where μm is the mean of the morning and μe is the mean of evening.

The calculated value of t = -1.152587077  which is less than the critical region hence the null hypothesis cannot be rejected .

P(T<=t) one-tail 0.143458126 > 0.05

If two tailed test is performed the critical region is t Critical two-tail 2.364624252

and the calculated t value is  -1.152587077  which again does not lie in the critical region .

Hence μm =  μe or    μm ≤ μe

P(T<=t) two-tail 0.286916252  > 0.025

Therefore

b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).

Option b gives the best answer.

Answer: 8

Hope this helps