All categories

3 years ago

Jamilia has a weather station in her backyard. She uses a rain gauge to track the total rainfall during two storms.

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

3 0

Answer:

1) The graph is linear, because it has an upwards slope of 5, we can tell because 3*5 =15 and 6*5=30.

2)Real world meaning is the delta change. Hence in this case it's the increase in rain over time. More rain or raining harder as time progresses.

3)It is not linear because the second sample shows a slope of 7.5 meanwhile the third sample shows a slope of 6 which allows us to conclude that it is not linear.

4)The y intercept means the total rain that was present at the start of the recording which essentially means there was no rain when she started the experiment.

You might be interested in

A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet

gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

$h(x)=10+0.1(x^{1.5})$

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

$h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}$

$s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx$

Let $1+0.0225x=t$

$dx=\frac{1}{0.0225}dt$

$s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt$

$s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}$

$s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}$

$s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)$

s=28.21

Weight of cable= $28.21\times 10.4=293.38$ pound

8 0

3 years ago

Can you please help me solve this question using cross multiplication? 2.1/27=2 1/3/0.3p

ANEK [815]

I got p= 14/135
Hope this helps

7 0

3 years ago

Read 2 more answers

Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are asfollows:S

Thepotemich [5.8K]

Answer and explanation:

Given : Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are as follows :

Strength Strength

High Low

High conductivity 74 8

Low conductivity 15 3

To find :

a) If a stand is randomly selected, the probability that is conductivity is high and its strength is high

The favorable outcome is 74

The probability is given by,

$P=\frac{74}{100}=0.74$

b) If a stand is randomly selected, the probability that its conductivity is low or strength is low

Conductivity is low A= 15+3=18

Strength is low B= 8+3=11

Conductivity is low and strength is low $A\cap B=3$

Probability is given by,

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

$P(A\cup B)=\frac{18}{100}+\frac{11}{100}-\frac{3}{100}$

$P(A\cup B)=0.18+0.11-0.03$

$P(A\cup B)=0.26$

c) Consider the event that a strand low conductivity and the event that the strand has a low strength. Are these tow events mutually exclusive?

Since the events the stand has low conductivity and the stand has low strength are not mutually exclusive, since there exists some cases in which both the events coincide. i.e. Intersection of both the events exists with probability 0.03.

8 0

3 years ago

Simplify 6.92 to the exponent of 1000

melisa1 [442]

Answer:

Whatever is raised to the power of 0 is 1

SO the answer is 1

4 0

3 years ago

Bianca has a total of $0.25 she has some nickels and pennies how many different combinations of nickels and pennies could Bianca

grandymaker [24]

4 nickels and 5 pennies.
5 nickels and 0 pennies

4 0

3 years ago