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3 years ago

8

Which of the following best describes the change in the mean when 1213 is included in the data set below? 34, 75, 26, 81, 65, 38

, 49

2 answers:

kicyunya [14]3 years ago

7 0

Answer:

81, 64, 59

Step-by-step explanation:

andrew-mc [135]3 years ago

3 0

Answer:

81,65,49

Step-by-step explanation:

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Solve for x in the equation 2x^2+14x+17=-96

goblinko [34]

$2x^{2}+14x+17=-96 \newline
2x^{2}+14x+113=0 \newline
\Delta = b^{2}-4ac = 14^{2} - 4 \cdot 2 \cdot 113 = -708.$

Since $\Delta$ is negative $\Rightarrow x \notin \mathbb{R}.$

5 0

3 years ago

What’s the missing side round to the nearest tenth?

Step2247 [10]

Sine of angle = opposite ÷ hypotenuse

sin 20 = $\frac{14}{x}$

x = $\frac{14}{sin 20}$

x = 40.9 (rounded up to nearest tenth)

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3 years ago

What is 505/10×10 written in unit form

Amiraneli [1.4K]

The number becomes in the unit form is a 5 hundreds and 0 tens and the 5 ones.

According to the statement

We have given that the number and the we have to write in the unit form.

So, For this purpose, we know that the

The unit form is the way to show how many of each size unit are in a number.

From the given information:

The number is a 505/10×10

Now, we have to solve this And the number becomes is

505.

And the

5 hundreds and 0 tens the 5 ones.

The unit form becomes the 5 hundreds and the 5 ones.

So, The number becomes in the unit form is a 5 hundreds and 0 tens the 5 ones.

Learn more about unit form here

brainly.com/question/2140644

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7 0

1 year ago

Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8.....

lina2011 [118]

Answer:Answer:

$\sum\left {{7} \atop {1}} \right -n(3+n)$

Step-by-step explanation:

Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;

The sum of an arithmetic series is expressed as $S_n = \frac{n}{2}[2a+(n-1)d]$

n is the number of terms

a is the first term of the sequence

d is the common difference

Given parameters

n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2

Required

Sum of the first seven terms of the sequence

$S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70$

The sum of the nth term of the sequence will be;

$S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)$

The sigma notation will be expressed as $\sum\left {{7} \atop {1}} \right -n(3+n)$ . <em>The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.</em>

3 0

3 years ago

Mr. Jackson invested a sum of money at 6% per year, and 3 times as much at 4%

bogdanovich [222]

Mr. Jackson invested $800 at 6% per year and $ 2400 at 4 % per year

<h3><u>Solution:</u></h3>

Mr. Jackson invested a sum of money at 6% per year, and 3 times as much at 4% per year.

Let the sum invested be ‘a’ and ‘3a’ at 6% per year and 4 % per year respectively

Also, his annual return totaled $144

We can form following equation on the basis of question:-

$\begin{array}{l}{\text { Then, } \frac{a \times 6 \times 1}{100}+\frac{3 a \times 4 \times 1}{100}=\$ 144} \\\\ {\frac{6 a}{100}+\frac{12 a}{100}=144} \\\\ {\frac{6 a+12 a}{100}=144} \\\\ {\frac{18 a}{100}=144} \\\\ {18 a=14400} \\\\ {a=14400 \div 18}\end{array}$

a = $800

The amount of money invested at 6% = a = 800

The amount of money invested at 4 % = 3a = 3(800) = 2400

So, the amount of money invested at 6% is $800 and the amount of money invested at 4% is $ 2400

4 0

2 years ago