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3 years ago

HELP QUICK!

Mathematics

1 answer:

alexira [117]3 years ago

7 0

Answer: y = 2x/3 - 5

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent.

The given line has a slope of 2/3 and it passes through (0,- 5)

To determine the intercept, we would substitute x = 0, y = - 5 and m= 2/3 into y = mx + c. It becomes

- 5 = 3/2 × 0 + c

c = - 5

The equation becomes

y = 2x/3 - 5

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Explain how to solve 3^x-4=6 using the change of base formula log base b of y equals log y over log b. include the solution for

Alexxandr [17]

Answer:

x = log 10/log 3

Step-by-step explanation:

3^x - 4 = 6

3^x = 10

We take log base 3 of both sides since log_3 3^x is simply x.

log_3 3^x = log_3 10

x = log_3 10

We have an answer for x, but it is a log base 3. We want log base 10.

Now we use the change of base formula.

log_b y = log y/log b

x = log 10/log 3

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3 years ago

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 340 babies were born, a

Bas_tet [7]

Answer:

The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).

b)Yes, the proportion of girls is significantly different from 0.5.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

In the study 340 babies were born, and 289 of them were girls. This means that $n = 340, \pi = \frac{289}{340} = 0.85$

Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born.

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{340}} = 0.85 - 2.575\sqrt{\frac{0.85*0.15}{400}} = 0.80$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{340}} = 0.85 + 2.575\sqrt{\frac{0.85*0.15}{400}} = 0.90$

The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).

Does the method appear to be effective?

b)Yes, the proportion of girls is significantly different from 0.5.

4 0

3 years ago

Splitting Squares (square root) Number 34 (picture above)

miskamm [114]

Answer: $3rp\sqrt{5}$

Step-by-setp explanation:

$\sqrt{45r^{2}p{2}}$

= $\sqrt{3*3*5*r*r*p*p}$

= $3*r*p\sqrt{5}$

= $3rp\sqrt{5}$

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3 years ago

What is the exponential function for: x = 0, 1, 2, 3 f(x) = 0.5, 1, 2, 4

Snowcat [4.5K]

i really dont know but i really need to points please

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3 years ago

(-3<(x+2)<7) help pls

vampirchik [111]

3x - 2 = 7
3x = 7 + 2
3x = 9 (divide both sides by 3 to get x)
3x/3 = 9/3
x = 3

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3 years ago