What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.5x)? 13 Submit

The mean of a set of 5 numbers is 12. One of the numbers in the set is 16. If 16 is removed from the list, what is the new mean?

Reil [10]

The new mean is 11

Step-by-step explanation:

The mean = sum of the numbers ÷ numbers

The mean of a set of 5 numbers is 12
One of the number is 16
We need to find the new mean if 16 is removed from the set of numbers

∵ The set has 5 numbers

∵ The mean of the 5 numbers is 12

- Substitute these values in the rule of the mean above

∴ 12 = sum of the numbers ÷ 5

- Multiply both sides by 5

∴ 60 = sum of the numbers

∵ One of the number is 16

∵ 16 is removed from the set of the number

- Subtract 16 from the sum and the numbers will be four numbers

∵ The new sum = 60 - 16

∴ The new sum = 44

∵ The set has 4 numbers

∴ The new mean = 44 ÷ 4 = 11

The new mean is 11

Learn more:

You can learn more about the mean in brainly.com/question/5069437

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6 0

3 years ago

2. Which number is a solution of the inequality? -5 -6 6 7

Sveta_85 [38]

I don’t understand your answerso you can be more specific?

7 0

3 years ago

Angelica earns d dollars for babysitting each week. She also receives an allowance of $10 per week. The expression (10+d)∙5 can

Katyanochek1 [597]

Answer:

The amount of money Angelica will have at the end of five weeks if d = $25 is $175.

Step-by-step explanation:

The given information are;

The allowance Angelica earns for baby sitting = d dollars per week

The amount she receives as allowance = $10 per week

The amount she will have at the end of 5 weeks = (10 + d)·5

The amount, A, of money Angelica will have at the end of five weeks if d = $25 is given as follows;

A = (10 + 25) × 5 = $175

The amount of money Angelica will have at the end of five weeks if d = $25 is $175.

7 0

3 years ago

HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME

Kryger [21]

Answer:

1)

Given the triangle RST with Coordinates R(2,1), S(2, -2) and T(-1 , -2).

A dilation is a transformation which produces an image that is the same shape as original one, but is different size.

Since, the scale factor $\frac{5}{3}$ is greater than 1, the image is enlargement or a stretch.

Now, draw the dilation image of the triangle RST with center (2,-2) and scale factor $\frac{5}{3}$

Since, the center of dilation at S(2,-2) is not at the origin, so the point S and its image $S{}'$ are same.

Now, the distances from the center of the dilation at point S to the other points R and T.

The dilation image will be $\frac{5}{3}$ of each of these distances,

$SR=3$ , so $S{}'R{}'$ =5 ;

$ST=3$ , so $S{}'T{}'=5$

Now, draw the image of RST i.e R'S'T'

Since, $RT=3\sqrt{2}$ [By using hypotenuse of right angle triangle] and $R{}'T{}'=5\sqrt{2}$ .

2)

(a)

Disagree with the given statement.

Side Angle Side postulate (SAS) states that:

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle then these two triangles are congruent.

Given: B is the midpoint of $\overline{AC}$ i.e $\overline{AB}\cong \overline{BC}$

In the triangle ABD and triangle CBD, we have

$\overline{AB}\cong \overline{BC}$ (SIDE) [Given]

$\overline{BD}\cong \overline{BD}$ (SIDE) [Reflexive post]

Since, there is no included angle in these triangles.

∴ $\Delta ABD$ is not congruent to $\Delta CBD$ .

Therefore, these triangles does not follow the SAS congruence postulates.

(b)

SSS(SIDE-SIDE-SIDE) states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Since it is also given that $\overline{AD}\cong \overline{CD}$ .