What scale would be appropriate to graph the data

What I the value of 1/4x² + 4 when x=4

Daniel [21]

Answer:

5

Step-by-step explanation:

1. To Get the answer one you must first do you one fourth times X one X equals four 1/4×4 equals one

2.One to the second power equals one because 1×1 = 1

3. Lastly add 1 to 4 to get the answer five

6 0

3 years ago

An automobile manufacturer claims that its car has a 33.7 miles/gallon (MPG) rating. An independent testing firm has been contra

Gnoma [55]

Answer:

$z=\frac{34-33.7}{\frac{1.6}{\sqrt{120}}}=2.05$

And the p value would be given by:

$p_v= 2*P(z>2.05) = 0.0404$

And since the p value is higher than the significance level we have enough evidence to fail to reject the null hypothesis.

Step-by-step explanation:

Data given and notation

$\bar X=34$ represent the sample mean

$\sigma=\sqrt{2.56}= 1.6$ represent the population standard deviation

$n=120$ sample size

$\mu_o =33.7$ represent the value that we want to test

$\alpha=0.02$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

System of hypotheses.

We need to conduct a hypothesis in order to check if the true mean is 33.7 mpg or no, the system of hypothesis would be:

Null hypothesis: $\mu =33.7$

Alternative hypothesis: $\mu \neq 33.7$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{34-33.7}{\frac{1.6}{\sqrt{120}}}=2.05$

And the p value would be given by:

$p_v= 2*P(z>2.05) = 0.0404$

And since the p value is higher than the significance level we have enough evidence to fail to reject the null hypothesis.

6 0

3 years ago

A point is chosen at random on a line segment of length L. Interpret this statement, and find the probability that the ratio of

Flauer [41]

Answer:

Probability=2/5

Step-by-step explanation:

Let the line segment be AB of uniform length and x is distance

so

$P(\frac{min(x,L-x)}{max(x,L-x)} )$

Case 1 min(x,L-x) then

$=\frac{x}{L-x}\leq 1/4\\x$

Case 2 min(x,L-x)=L-x then

$=\frac{L-x}{x}\frac{4L}{5}\\$

So Probability

$P=\int\limits^{L/5}_0 {f(x)} \, dx+\int\limits^{L}_{4L/5} {f(x)} \, dx\\ P=\int\limits^{L/5}_0 {\frac{1}{L} } \, dx+\int\limits^L_{4L/5} {\frac{1}{L} } \, dx\\ P=\frac{1}{L}(\frac{L}{5} -0+L-\frac{4L}{5} )\\ P=\frac{1}{L} (2L/5)\\P=\frac{2}{5}$

6 0

3 years ago

Find the percent increase. Round to the nearest percent.<br> From 17 friends to 19 friends

enyata [817]

I do believe it would be 12 percent, if rounded.

3 0

3 years ago

Help me please [giving brainliest to best answer with step by step]

ollegr [7]

Hi there!

$\large\boxed{3\text{ } \frac{3}{4} cm^3}$

Knowing that one cube has side-lengths of 1/2, we can calculate the dimensions for the prism:

Length: 1/2 × 5 = 2.5 cm

Height: 1/2 × 3 = 1.5 cm

Width: 1/2 × 2 = 1 cm

Use this formula to solve for the volume:

V = l × w × h

Thus:

V = 2.5 × 1.5 × 1 = 3.75 cm³

Convert to fraction:

75/100 = 3/4

Thus, the volume in mixed-numbers is 3 3/4 cm³.

7 0

2 years ago