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Nikolay [14]
3 years ago
6

What is the solution to the system of equations y= -5x +3 y=1

Mathematics
1 answer:
3241004551 [841]3 years ago
6 0
To find the solution to this, we need to use the substitution method.

y = -5x + 3

Substitute the value for y.

y =1

1 = -5x + 3

Now, solve for x.

1-3 = -5x + 3           Apply the inverse operation to both sides of the equation.
            -3

1-3 is -2

-2 = -5x

-5x/-5 = -2/-5 
x = 0.4

Final answer:-   x = 0.4     y = 1
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Then you get

A= -3

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In a study of the impact of smoking on birth weight, researchers analyze birth weights (in grams) for babies born to 189 women w
kompoz [17]

Answer:

c. Smoking is associated with lower birth weights. When smokers are compared to nonsmokers, we are 95% confident that the mean weight of babies born to nonsmokers will be between 76.5 grams to 486.9 grams more than the mean birth weight of babies born to smokers.

Step-by-step explanation:

The difference in mean birth weights (nonsmokers minus smokers) is 281.7 grams with a margin of error of 205.2 grams with 95% confidence.

Then, we know that the 95% confidence interval is (76.5, 486.9)

LL=M-MOE=281.7-205.2=76.5\\\\UL=M-MOE=281.7+205.2=486.9

<em>a. We are 95% confident that smoking causes lower birth weights by an average of between 76.5 grams to 486.9 grams.</em>

False, it interprets the confidence interval as a probability for individual cases. The confidence interval is a range for the population mean.

<em>b. There is a 95% chance that if a woman smokes during pregnancy her baby will weigh between 76.5 grams to 486.9 grams less than if she did not smoke.</em>

False, it interprets the confidence interval as a probability for individual cases. The confidence interval is a range for the population mean.

<em>c. Smoking is associated with lower birth weights. When smokers are compared to nonsmokers, we are 95% confident that the mean weight of babies born to nonsmokers will be between 76.5 grams to 486.9 grams more than the mean birth weight of babies born to smokers.</em>

True.

<em>d. With such a large margin of error, this study does not suggest that there is a difference in mean birth weights when we compare smokers to nonsmokers.</em>

There is enough evidence, as the lower bound of the confidence is positive. This means that there is only a probability of 0.05/2=0.025 that the true mean weight difference is smaller than 76.5 grams.

6 0
3 years ago
there are about 100 million smartphones in the U.S. your teacher has one smartphone. what share of US smartphones does your teac
barxatty [35]
100 000 000 =  10^{8}

\frac{1}{100 000 000} =  10^{-8}
3 0
3 years ago
Please help me ASAP
lutik1710 [3]

9514 1404 393

Answer:

  30°

Step-by-step explanation:

Consecutive interior angles are supplementary when the lines are parallel:

  2x +4x = 180°

  x = 180°/6

  x = 30°

_____

<em>Comment on units</em>

A lot of times the angles are assumed to be measured in degrees. Using that assumption, x=30 (degrees). When no units are specified, the angle measure defaults to radians. In radians, x = π/6. (We rarely see problems of this nature where the angles are expected to be measured in radians. More often, we see poorly edited questions where angles need to be assumed to be measured in degrees.)

8 0
3 years ago
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