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2 years ago

Solve for x: 10(x + 1) = 2x - 7

2 answers:

galina1969 [7]2 years ago

5 0

Answer: x=-17/8

First, distribute the 10

10x + 10 = 2x - 7

Next, move the x-values to one side

8x = -17

Now, isolate the x by dividing both sides by 8

x = -17/8

Lisa [10]2 years ago

4 0

Answer:Simplifying

x = -2.125

Step-by-step explanation:Add '-10' to each side of the equation.

10 + -10 + 8x = -7 + -10

Combine like terms: 10 + -10 = 0

0 + 8x = -7 + -10

8x = -7 + -10

Combine like terms: -7 + -10 = -17

8x = -17

Divide each side by '8'.

x = -2.125

Simplifying

x = -2.125

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Of 585 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compared

Dafna1 [17]

Answer:

a) The 99% confidence interval is from 14.8% to 23.2%.

b) The confidence interval tells us that the true proportion of mislabeled is within 14.8% and 23.2%, with a 99% confidence. In other words, if we take samples of the same size, 99% of the samples will have a proportion within 0.148 and 0.232.

c) The confidence interval calculation take into account the sample size, so the width (or precision) of the interval depends on the sample size.

The only criticism that could be analyzed is to see if the sample is representative of the population.

Step-by-step explanation:

a) We have to calculate a 99% confidence interval for the proportion.

The sample proportion is p=0.19.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.19*0.81}{585}}\\\\\\ \sigma_p=\sqrt{0.000263}=0.016$

The critical z-value for a 99% confidence interval is z=2.576.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=2.576 \cdot 0.02=0.042$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.19-0.042=0.148\\\\UL=p+z \cdot \sigma_p = 0.19+0.042=0.232$

The 99% confidence interval for the population proportion is (0.148, 0.232).

5 0

2 years ago

What is the radius of convergence of the maclaurin series (2x)/(1+x^2)?

kramer

To solve this problem you must apply the proccedure shown below:
1. You have to find the radius <span>of convergence of the following Maclaurin series:
</span> $(2x)/(1+ x^{2} )
$
2. Let's take the denominator and find the roots:
$1+ x^{2} =0$
$x^{2} =-1 \\ x= \sqrt{-1} \\ x1=i \\ x2=-i$
3. The roots are $x1=i \\ x2=-i$ and the distance from the origin is $1$ .
Therefore, the answer is: $1$

7 0

2 years ago

Use the figure at the right for Exercises 1-4

MariettaO [177]

Answer:

Use the figure at the right for Exercises 1-4

1) Name a pair of vertical angles.

Name a pair of adjacent angles with vertex M.

3) Name a pair of adjacent angles with vertex S.

4) Name a linear pair.

Step-by-step explanation:

4 0

2 years ago

2,4 help me idk how to do it ASAP and show work if possible

azamat

Answer:155in^2

Step-by-step explanation:

Area of the poster board that she has left=Area of ||gm- area of ∆

Area of the poster board that she has left= 10*20-1/2*9*10

Area of the poster board that she has left=200-45=155in^2

7 0

2 years ago

A bag contains 3 red marbles, 7 blue marbles and 8 green marbles. If three marbles

ohaa [14]

Answer:

8/18

Step-by-step explanation:

You have 3 red, 7 blue, and 8 green marbles. Add all of them together and you have 18. The probability of you pulling out 3 green marbles is 8 out of 18.

8 0

3 years ago