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2 years ago

If the mean of 6 numbers increased by 3, by how much would the sum of

Mathematics

2 answers:

Angelina_Jolie [31]2 years ago

8 0

I think 6x3=18
So, the answer is 18

pogonyaev2 years ago

4 0

Answer:

Step-by-step explanation:

the mean is the average of the 6 numbers, in order for the total average to increase by 3 points, that is like saying each of the 6 values increased by 3 points each, 3 × 6 = 18, now each one would not actually have to increase by 3 each, as long as the total increase of adding all 6 numbers together was 18 points higher, then the average would be 3 points higher

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Triangle DEF, shown below, is reflected over the y-axis to form triangle D'E'F'. What are

vovikov84 [41]

Answer:

(-6, -4).

Step-by-step explanation:

When you reflect coordinates over the y-axis, the x-coordinates remain the same, but the y-coordinates become their additive inverse.

The original coordinates for F are (6, -4).

The new coordinates for F would be F' (-6, -4).

8 0

2 years ago

I have a question that says " jada has read 3/5 of a book. She has read 75 pages so far. How many pages are in the whole book?"

jok3333 [9.3K]

Answer and Step-by-step explanation:

To solve, we would multiply by the reciprocal of the portion Jada has read, and multiply that number to 75.

The reciprocal means the the value, but flipped, so $\frac{3}{5}$ will become $\frac{5}{3}$ .

Now we do 75 times $\frac{5}{3}$ /

$\frac{75 * 5}{3} \\\\\\\\\frac{375}{3} \\\\\\\\125$

So, there are 125 total pages in the book.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

3 0

2 years ago

I need help please helppppppppppppppppppppppp

Marrrta [24]

Given:

A figure of a circle and two secants on the circle from the outside of the circle.

To find:

The measure of angle KLM.

Solution:

According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.

Using intersecting secant theorem, we get

$\angle KLM=\dfrac{1}{2}(Arc(JON)-Arc(KM))$

$(3x-4)=\dfrac{1}{2}(271-(x+6))$

$(3x-4)=\dfrac{1}{2}(271-x-6)$

Multiply both sides by 2.

$6x-8=265-x$

Isolate the variable x.

$6x+x=265+8$

$7x=273$

Divide both sides by 7.

$x=\dfrac{273}{7}$

$x=39$

Now,

$\angle KLM=(3x-4)^\circ$

$\angle KLM=(3(39)-4)^\circ$

$\angle KLM=(117-4)^\circ$

$\angle KLM=113^\circ$

Therefore, the measure of angle KLM is 113 degrees.

5 0

2 years ago

A submarine travels 6.6 km due West from its base and then turns and travels due South for 3.9

geniusboy [140]

Answer:

$7.7$ km

Step-by-step explanation:

The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of $6.6$ km and $3.9$ km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, $a^{2}+b^{2} =c^{2}$ , where $a$ and $b$ are the lengths of the triangle's legs and $c$ is the length of the triangle's hypotenuse. In this case, we know what $a$ and $b$ are, and we need to solve for c, so after substituting the given values of $a$ and $b$ into $a^{2}+b^{2} =c^{2}$ to solve for c, we get:

$a^{2}+b^{2} =c^{2}$

$6.6^{2} +3.9^{2} =c^{2}$ (Substitute $a=6.6$ and $b=3.9$ into the equation)

$43.56+15.21=c^{2}$ (Evaluate the squares on the LHS)

$58.77=c^{2}$ (Simplify the LHS)

$c^{2}=58.77$ (Symmetric Property of Equality)

$\sqrt{c^{2} } =\sqrt{58.77}$ (Take the square root of both sides of the equation)

$c=7.7,c=-7.7$ (Simplify)

$c=-7.7$ is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately $7.7$ km away from its base. Hope this helps!