What is a rational number between 6.2 and 6.3

Joshua started cycling at 5:15 pm By 8:09 pm, he has covered a distance of 7250 mWhat was Joshua's average speed during that tim

vivado [14]

The average speed of Joshua during that time is 2500 m/h.

Explanation:

It is given that Joshua started cycling at 5:15 pm. By 8:09 pm he has covered a distance of 7250 m.

The total time taken by Joshua from 5:15 pm to 8:09 pm is

$2 { h } 54 \text { min }=2 \mathrm{h}+\frac{54}{60} {h}$

Dividing we get,

$2 { h } 54 \text { min }=2 \mathrm{h}+0.9 {h}$

Adding, we have,

$2 { h } 54 \text { min }=2.9 {h}$

Thus, the total time taken by Joshua is $2.9 {h}$

To determine the average speed we use the formula,

$speed=\frac{distance}{time}$

where $distance=7250$ and $time=2.9$

Hence, substituting the values we have,

$speed=\frac{7250}{2.9}$

Dividing, we get,

$speed=2500$

Thus, the average speed of Joshua during that time is 2500 m/h.

5 0

2 years ago

Explain how to write and evaluate an algebraic expression that represents the situation. The blueberries were divided equally in

ser-zykov [4K]

The variable is the number of blueberries, the operation is division, and the constant is 6. Write the division expression as the fraction, b/6 . To evaluate, substitute 210 in for the variable, b, and simplify. 210 divided by 6 is 35. So each bowl has 35 blueberries.

4 0

2 years ago

Read 2 more answers

What is the equation of <br> -2(x-3)+4x=-(-x+1)

BabaBlast [244]

Answer:

Exact form: $-5/3$

Decimal form: $-1.66$ (repeating)

Mixed number form: $-1\frac{2}{3}$

8 0

2 years ago

Read 2 more answers

ACME Manufacturing claims that its cell phone batteries last more than 32 hours on average in a certain type of cell phone. Test

son4ous [18]

Answer:

We can conclude that the battery life is greater than the 32 hour claim.

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 32$

The alternate hypotesis is:

$H_{1} > 32$

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}$

In which X is the statistic, $\mu$ is the mean, $\sigma$ is the standard deviation and n is the size of the sample.

In this problem, we have that:

$X = 37.8, \mu = 32, \sigma = 10, n = 18$

So

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{37.8 - 32}{\frac{10}{\sqrt{18}}}$

$t = 2.46$

We need to find the probability of finding a mean time greater than 37.8. If it is 5% of smaller(alpha = 0.05.), we can conclude that the battery life is greater than the 32 hour claim.

Probability of finding a mean time greater than 37.8

1 subtracted by the pvalue of z = t = 2.46.

z = 2.46 has a pvalue of 0.9931

1 - 0.9931 = 0.0069 < 0.05

So we can conclude that the battery life is greater than the 32 hour claim.

5 0

2 years ago

Can we predict how fast a tennis player can hit a serve from the playerâs height? The following computer output and scatterplot

olga_2 [115]

Complete question :

The computer output and scatter plot output pertaining to the question can be found in the attached picture.

Answer:

Kindly check explanation

Step-by-step explanation:

A.) Relationship between height and fastest serve speed :

According to the scatterplot and Correlation Coefficient (R) value which can be obtauned by getting the square root of R²

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

B.)

Equation of least square regression line :

From the computer output and scatter plot above :

Recall :

y = mx + c

y =predicted variable (s fastest serve)

m= slope

x = predictor variable (height)

c = intercept

y = 84.98x + 68.81

C.) 27.7% of the variation in fastest speed can be explained by height while the remaining percentage is due to other variables

D.) fastest serve of tennis player with height 1.7m

y = 84.98x + 68.81

y = 84.98(1.7) + 68.81

y = 213.276km/hr

E.)

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

F.)

Height = 2.06m = x

y = 84.98(2.06) + 68.81

y = 243.8688 km/hr

Residual = Actual - predicted

Actual = 230 ; predicted = 243.8688

Residual = 230 - 243.8688

Residual = −13.8688

Hence, the model overestimated fastest serve speed of a 2.06 m tall player by −13.8688 km/hr

3 0

2 years ago