Apply the distributive property to factor out the greatest common factor. 6+30=6+30=6, plus, 30, equals

javier rode his bike for a total of 41 minutes. before lunch he rode 1 minute less than 5 times the number of minutes he rode af

notka56 [123]

Answer:

Javier rode bike 34 minutes before lunch.

Step-by-step explanation:

Let the number of minutes Javier rode the bike after lunch be = x minutes

Then according to question number of minutes he rode the bike after lunch

$= 5x-1$

Total number of minutes he rode bike = 41 min

Therefore,

$x+5x-1 =41$

On solving

$6x= 41+1 =42$

Divide both side by 6 we get

$x= 7$

Number of minutes he ride before lunch

$= 5(7)-1 = 35-1=34$ min

8 0

4 years ago

Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the

alexira [117]

Answer:

$dV=542.9 cm^{3}$

Step-by-step explanation:

Let's start with the equation of the volume of a cylinder:

$V=\pi r^{2}*h$

Where:

r is the radius of the cylinder (r=D/2=24/2=12 cm)
h is the high of the cylinder (h = 60 cm)

We can us partial derivatives to find the differential of this volume. So we will have:

$dV=\frac{\partial V}{\partial r}dr+\frac{\partial V}{\partial h}dh$ (1)

Now:

$\frac{\partial V}{\partial r}=2\pi r*h=2\pi 12*60=4523.9 cm^{2}$

$\frac{\partial V}{\partial h}=\pi 12^{2}=452.4 cm^{2}$

dr is a differential of the radius, so in our case it is 0.1 cm and dh, differential of the high, is 0.1*2 cm. We multiply by 2 because we need to consider the top and the bottom of the cylinder.

Now we just need to put all of this definitions in the equation (1).

$dV=4523.9*0.1+452.4*0.2=542.9 cm^{3}$

I hope it helps you!

6 0

4 years ago

What is the surface area of the rectangular prism?<br> 5 ft<br> 5 ft<br> 8 ft

Oksi-84 [34.3K]

The surface of the rectangular prism is 18, because you just add up all of your sides

8 0

3 years ago

An automobile owner found that 20 years ago, 72% of Americans said that they would prefer to purchase an American automobile. He

LenaWriter [7]

Answer:

$z=\frac{0.884 -0.72}{\sqrt{\frac{0.72(1-0.72)}{43}}}=2.395$

Now we can find the p value taking incount that we are using a bilateral test

$p_v =2*P(z>2.395)=0.01662$

Since the p value is lower than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of Americans that they would prefer an American automobile is significantly different from 0.72 and then the claim is correct

Step-by-step explanation:

Information given

n=43 represent the random sample taken

X=38 represent the Americans who they would prefer an American automobile

$\hat p=\frac{38}{43}=0.884$ estimated proportion of Americans that they would prefer an American automobile

$p_o=0.72$ is the value that we want to check

$\alpha=0.1$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to verify if the percentage of Americans that they would prefer an American automobile today differs from 72%, then the system of hypothesis are:

Null hypothesis: $p=0.72$

Alternative hypothesis: $p \neq 0.72$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the data given we got:

$z=\frac{0.884 -0.72}{\sqrt{\frac{0.72(1-0.72)}{43}}}=2.395$

Now we can find the p value taking incount that we are using a bilateral test

$p_v =2*P(z>2.395)=0.01662$

Since the p value is lower than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of Americans that they would prefer an American automobile is significantly different from 0.72 and then the claim is correct

5 0

3 years ago

Halp plz i give crown, due in 30 mins

disa [49]

Answer:

Step-by-step explanation:

A. you put 46.2 in where the F is

h=61.412+2.317(46.2)

61.412+107.0454

= 168.4574cm

B.

h=81.688+2.392(50.1)

= 201.5272 cm

C.

femur: 39.097

tibia: 31.357

humerus: 27.68

radius: 20.25

D.

F: 50.899

T: 42.355

H: 26.407

R: 28.11

4 0

3 years ago