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3 years ago

What is the sum of the terms of the series (−1) + (−2) + (−3) + . . . + (−10)?

1 answer:

8 0

You can solve this problem by using the Gauss method. The Gauss method is a method where you can add the first and last numbers together, and then multiply by how many times that appears. Here, the sum of the first and last number is -11. In this sequence, it would appear ten times (since there are ten terms and the terms are used twice in every eleven). -11 * 5 is -55, so that means the answer to this question is -55.

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A random sample of 150 children who visit the library werevasked if they prefer vanilla or chocolate. The results are shown in t

Setler79 [48]

Answer:

The facts are

OF the boys surveyed more boys preferred vanilla.

OF the girls surveyed more girls pref chocolate.

74 liked vanilla

76 liked chocolate

I think they are asking for the word ''THERE DOES''

As they say ''.......appear to be an association between gender and flavor preference. This is true statement as 41 boys liking vanilla is=54% of those that preferred vanilla in the vote were boys and more boys may have been asked to begin with for choice of vanilla as only 43% of girls in total were asked out of the 150 people asked.

And 59.21% of those that preferred chocolate were girls.

We can say there is a association with gender flavor as we know that there were lesser amounts of girls than boys to begin with yet of the 100% people asked in library 43% were girls and more than 59% had agreed chocolate was their preference. .

We see that 64 girls were asked and 86 boys were asked and this proves that As 57% of people asked were boys to begin with as there were 64 girls and a greater amount 86 boys making the boys 57% of 150 asked, which makes the girls only 43% of the people asked so it can be an association to preferences as there were so many more girls agreeing chocolate.

Step-by-step explanation:

8 0

3 years ago

Jaylin's test grades in History class are: 92, 89, 85, 89, and 90. The semester final will count as IWULUI.

Lera25 [3.4K]

Answer:

Step-by-step explanation:

Find the mean by adding all of it and dividing it by the total of numbers,so I did that and put an extra 95 and the mean was 90,Please give me brainliest if it help

8 0

2 years ago

9. Ms. Barton determined that the

finlep [7]

Answer:

B. 95

Step-by-step explanation:

Plug in 8625 into the equation as c:

c = 75n + 1500

8625 = 75n + 1500

Solve for n:

7125 = 75n

95 = n

So, 95 people attended.

6 0

3 years ago

Read 2 more answers

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54 . What is the volume of the dilated prism? E

Aliun [14]

Question:

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .

What is the volume of the dilated prism?

Enter your answer, as a decimal, in the box.

Answer:

The volume of the dilated prism is $93.75 \ {cm}^{3}$

Explanation:

A prism with a base area of 8 cm² and a height of 6 cm

The volume of the prism can be determined by the formula, $V=Bh$

Volume of the prism is given by

$V=Bh$

$V=(8)(6)$

$V=46\ cm^3$

Thus, the volume of the prism is $46 \ {cm}^{3}$

It is also given that the volume of the dilated prism is dilated by a factor of $\frac{5}{4}$

Hence, the new volume is given by

$Volume = 48(\frac{5}{4} )^3$

$=48(\frac{125}{64} )$

$=48(1.953125)$

$=93.75 \ {cm}^{3}$

Thus, the volume of the dilated prism is $93.75 \ {cm}^{3}$

3 0

2 years ago

What is the approximate area of the shaded portion of the diagram? (Use 3.14 as an estimate for pi.)

Nadusha1986 [10]

Answer:

218

Step-by-step explanation:

first find the area of the circle-

$A=\pi r^{2} \\A=\pi 10^{2} \\A=100\pi \\A=314$

to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).

$a^{2} +b^{2} =c^{2} \\a^{2} +16^{2} =20^{2} \\a^{2} +256=400\\a^{2} =144\\a=12$

Now I know the height is 12. Find the area of the triangle

$A=\frac{1}{2} bh\\A=\frac{1}{2} (16)(20)\\A=96$

subtract the area of the triangle from the area of the circle

314-96=218

6 0

2 years ago