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3 years ago

Based on the family the graph below belongs to, which equation could represent the graph

Mathematics

2 answers:

slamgirl [31]3 years ago

7 0

Answer: Second option y=log(2x)+3

Solution:

Based on the family of graphs shown in the attached file, the equation could represent the graph is y=log(2x)+3

This graph is the graph of the funtion y=log(x) stretched horizontally by a factor of 2 and translated 3 units upward.

miskamm [114]3 years ago

6 0

Eliminate all but the 2nd possible answer, because this graph definitely shows a connection to the family of logarithmic curves.

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The blank one show work pls (not required)

Mrrafil [7]

Answer:

20% of 240 is 48

Step-by-step explanation:

48 times 5 equals 240

20% times 5 equals 100%

100% = 240 text messages

4 0

2 years ago

A technician is testing light bulbs to determine the number of defective bulbs. The technician records the table below to show t

saveliy_v [14]

<h3>Answer:</h3>

The reasoning is correct. The ratio of number of bulbs tested to defective bulbs is always 14 to 1.

<h3>Step-by-step explanation:</h3>

We generally expect industrial processes to produce defects at about the same rate, meaning the proportion of defective product is generally considered to be a constant. Here, the proportion of defective bulbs is ...

... 1/14 = 2/28 = 6/84

so we expect it will be also 24/336. That is, the ratio of the number of bulbs tested to defective bulbs is expected to remain constant at about 14.

5 0

3 years ago

Read 2 more answers

g For the curve parameterized by x(t) = 3 sin t, y(t) = 5 cost, for −π/4 ≤ t ≤ π/2: (a) Sketch the curve and the direction trace

tamaranim1 [39]

Answer:

a) See the file below, b) $s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx$ , c) $s \approx 9.715$

Step-by-step explanation:

a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.

b) The arc length formula is:

$s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx$

c) The perimeter of that arc is approximately:

$s \approx (\frac{1}{4} + \frac{1}{8})\cdot 2 \pi\cdot \sqrt{\frac{3^{2}+5^{2}}{2} }$

$s \approx 9.715$

5 0

3 years ago

Solve: k/4 +2 - k = 10

igor_vitrenko [27]

Answer:

k= -32\3

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe

kherson [118]

Answer:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

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".

The population proportion have the following distribution

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

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: