A wave with a frequency of 60 hertz would generate 60 wave crests every

The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.

telo118 [61]

9514 1404 393

Answer:

x = (√2)/2

Step-by-step explanation:

The diagonal is √2 times the side length (x), so ...

1 = x√2

√2 = 2x . . . . . multiply by √2

(√2)/2 = x . . . . divide by 2

The side length x is (√2)/2.

3 0

3 years ago

=(x + 6) = 11 copied for free from openupresources.org

soldi70 [24.7K]

Answer:

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=(x + 6) = 11 copied for free from openupresources.org

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Step-by-step explanation:

3 0

4 years ago

A car travels 1/6 of the distance between two cities in 3/5 of an hour. At this rate, what fraction of the distance between the

Delvig [45]

Answer:

$\frac{5}{18}$

Step-by-step explanation:

Distance traveled by a car between two cities = 1/6 distance

Time taken to travel between the two cities = 3/5 hours

Therefore, to find how much of the distance the car can travel in 1 hour, we need to divide the given distance by the given time to get:

( $\frac{1}{6}$ ) ÷ ( $\frac{3}{5}$ )

Change the later fraction to its reciprocal to solve:

$\frac{1}{6}$ × $\frac{5}{3}$ = $\frac{5}{18}$

Therefore, in one hour, the car can travel 5/18 of the distance.

8 0

3 years ago

Which statements describes this trapozoid?

Anna11 [10]

A trapezoid/trapezium is a quadrilateral (4 sided shape) with exactly one pair of parallel sides.

It is a quadrilateral (a closed plane shape with four linear sides) that has at least one pair of parallel lines for sides

4 0

3 years ago

An automobile manufacturer has given its car a 52.6 miles/gallon (MPG) rating. An independent testing firm has been contracted t

Arte-miy333 [17]

Answer:

Null hypothesis: $\mu = 52.6$

Alternative hypothesis: $\mu \neq 52.6$

$z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976$

$p_v =2*P(z>1.976)=0.0482$

Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

Step-by-step explanation:

Information provided

$\bar X=52.8$ represent the sample mean for the MPG of the cars

$\sigma=1.6$ represent the population standard deviation

$n=250$ sample size of cars

$\mu_o =52.6$ represent the value that we want to test

$\alpha=0.05$ 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

Hypothesis

We need to conduct a hypothesis in order to check if the true mean of MPG is different from 52.6 MPG, the system of hypothesis would be:

Null hypothesis: $\mu = 52.6$

Alternative hypothesis: $\mu \neq 52.6$

Since we know the population deviation the statistic is given by:

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

Calculate the statistic

Replacing we have this:

$z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976$

Decision

Since is a two tailed test the p value would be:

$p_v =2*P(z>1.976)=0.0482$

Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

3 0

3 years ago