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2 years ago

An introduction to equations x-3=10

Mathematics

2 answers:

Pavlova-9 [17]2 years ago

6 0

Answer:

x=13

Step-by-step explanation:

You add 3 to both sides: x-3+3=10+3 which is x=13

stich3 [128]2 years ago

5 0

Answer:

x - 3 = 10

x = 13 is the solution

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-3(-2-x)+x >20 solve for X?

rjkz [21]

Let's solve your inequality step-by-step. −3(−2−x)+x>20

Step 1: Simplify both sides of the inequality. 4x+6>20

Step 2: Subtract 6 from both sides. 4x+6−6>20−64x>14

Step 3: Divide both sides by 4.‌4x4‌>‌144

‌x>‌7/2

7 0

3 years ago

Read 2 more answers

Use the normal distribution to find a confidence interval for a difference in proportions p1-p2 given the relevant sample result

9966 [12]

Answer:

a) $\hat p_1 -\hat p_2= 0.2-0.35= -0.15$

b) $ME= 2.58 \sqrt{\frac{0.2(1-0.2)}{60} +\frac{0.8(1-0.8)}{100}} =0.169$

c) $(0.2-0.35) - 2.58 \sqrt{\frac{0.2(1-0.2)}{60} +\frac{0.8(1-0.8)}{100}} =-0.319$

$(0.2-0.35) + 2.58 \sqrt{\frac{0.2(1-0.2)}{60} +\frac{0.8(1-0.8)}{100}} =0.0185$

And the 99% confidence interval would be given (-0.319;0.0185).

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p_1$ represent the real population proportion 1

$\hat p_1=0.2$ represent the estimated proportion 1

$n_1=60$ is the sample size required 1

$p_2$ represent the real population proportion for 2

$\hat p_2 =0.35$ represent the estimated proportion 2

$n_2=100$ is the sample size required for Brand B

$z$ represent the critical value for the margin of error

Solution to the problem

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_1 -\hat p_2) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_2)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

Part a

The best estimate is given by:

$\hat p_1 -\hat p_2= 0.2-0.35= -0.15$

Part b

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

The margin of error is given by:

$ME= 2.58 \sqrt{\frac{0.2(1-0.2)}{60} +\frac{0.8(1-0.8)}{100}} =0.169$

Part c

And replacing into the confidence interval formula we got:

$(0.2-0.35) - 2.58 \sqrt{\frac{0.2(1-0.2)}{60} +\frac{0.8(1-0.8)}{100}} =-0.319$

$(0.2-0.35) + 2.58 \sqrt{\frac{0.2(1-0.2)}{60} +\frac{0.8(1-0.8)}{100}} =0.0185$

And the 99% confidence interval would be given (-0.319;0.0185).

4 0

3 years ago

A swift can fly at 160km/h. what is the speed in m/s? show clearly how you worked out your answer.

Oduvanchick [21]

Step-by-step explanation:

$Given \: speed \: = 160km| h \\ To \: find \: speed \: in \: m|s \\ Solution \: speed \: = 160km|h \\ = (160 \times \frac{5}{18}) \: m|s \\ = \frac{800}{18} m|s \\ = 44.44m|s \\ Hence \: speed \: = 44.44m|s...$

hOpE iT hElPs YoU

<h3>I nEEd bRainLIeST</h3>

7 0

2 years ago

Read 2 more answers

In line 49, "open" most nearly means

m_a_m_a [10]

The correct answer is option c) unrestricted.

In line 49, "open" most nearly means unrestricted.

Option C is the right answer since the supplied sentence states, "Can a person's uniqueness, dignity, and identity be separated from genetic difference and belief in a person's limitless futures?"

Because the future is unpredictable and indeterminate, it is "open" because no one knows what will happen in the future. So "open" here nearly implies "unrestricted."

Other choices include: Option A signifies clear or straightforward, as we all want our future to be clear. Option B indicates friendly, therefore consider how the future relates to the word friendly.

Option D indicates "not covered, not safe," hence the statement does not fit with the term. Option E denotes that everyone knew or that everyone had rights.

Learn more about unrestricted

brainly.com/question/366738

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8 0

1 year ago

Can someone help me answer 7, 8, and 9. Thank you! I don’t really get the circle concept

Mariulka [41]

Answer:

Part 7) Option C. The approximate perimeter of the patio is $54\ ft$

Part 8) Option G. $3\ floats$

Part 9) $150.72\ minutes$

Step-by-step explanation:

Part 7) we know that

The perimeter of the figure is equal to the circumference of the larger half circle plus the circumference of the smaller half circle plus two times the length of 8 ft

step 1

Find the circumference of the larger half circle

The circumference of the larger half circle is

$C=\pi r$