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3 years ago

The graph shows the altitude of a car as a driver descends down a mountain.

Mathematics

1 answer:

Sveta_85 [38]3 years ago

7 0

The rate of change represented by the graph is that the car drives down the mountain at a rate of 250 feets per hour.

The rate of change also called the gradient or slope is obtained using the relation :

Rate of change = change in y / change in x

Change in y = (y2 - y1)

Change in x = (x2 - x1)

From the graph :

y2 = 1500 ; y1 = 0

y2 = 1500 ; y1 = 0x2 = 6 ; x1 = 0

Hence,

Rate of change = (1500 - 0) / (6 - 0) = 1500 / 6 = 250

Learn more : brainly.com/question/2610134

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15) The diameter of a cylinder is 12 and height is 11. Find the surface area of the figure.

kirza4 [7]

Answer:

A=640.88

Step-by-step explanation:

if the diameter is 12, the radius , r=12/2=6

we have r=6, h=11

Surface area, A= 2πrh+2π r^2

A=2*3.14*6*11+2*3.14*(6)^2=640.88

7 0

3 years ago

Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In p

Bingel [31]

Answer:

Null hypothesis:H₀:- There is no significant difference between in drug resistance between the two states

Alternative Hypothesis :H₁:

There is significant difference between in drug resistance between the two states

B)

The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance

Rejected H₀

There is a significant difference in drug resistance between the two states.

P - value = 0.0066

P - value = 0.0066 < 0.02

D)

1) Reject H₀

There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

Step(i):-

Given first sample size n₁ = 174

Suppose that, of 174 cases tested in a certain state, 11 were found to be drug-resistant.

First sample proportion

$p_{1} = \frac{x_{1} }{n_{1} } = \frac{11}{174} = 0.0632$

Given second sample size n₂ = 375

Given data Suppose also that, of 375 cases tested in another state, 7 were found to be drug-resistant

Second sample proportion

$p_{2} = \frac{x_{2} }{n_{2} } = \frac{7}{375} = 0.0186$

Step(ii):-

Null hypothesis:H₀:- There is no significant difference between in drug resistance between the two states

Alternative Hypothesis :H₁:

There is significant difference between in drug resistance between the two states

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

Where

$P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }$

$P = \frac{174 (0.0632) + 375 (0.0186) }{174+375 } = \frac{17.9718}{549} = 0.0327$

Q = 1 - P = 1 - 0.0327 = 0.9673

Step(iii):-

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$Z = \frac{0.0632-0.0186 }{\sqrt{0.0327 X 0.9673(\frac{1}{174 }+\frac{1}{375 } ) } }$

Z = 2.7261

Level of significance = 0.02 or 0.98

The z-value = 2.054

The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance

Reject H₀

There is a significant difference in drug resistance between the two states.

P- value

P( Z > 2.7261) = 1 - P( Z < 2.726)

= 1 - ( 0.5 + A (2.72))

= 0.5 - 0.4967

= 0.0033

we will use two tailed test

2 P( Z > 2.7261) = 2 × 0.0033

= 0.0066

P - value = 0.0066 < 0.02

Reject H₀

There is a significant difference in drug resistance between the two states.

8 0

2 years ago

By Substitution -6x + 6y = 6 -6x + 3y = -12

butalik [34]

Answer:

x = 5 & y = 6

Step-by-step explanation:

hi see the pic for the steps

7 0

3 years ago

Read 2 more answers

Rohan is 2 years elder than rohit. Five years ago , one third of his age was equal to three-sevenths of rohit's age. Clalculate

Oksana_A [137]

Answer:

I hope it will help you.

have a great day . ☺☺

8 0

3 years ago

Read 2 more answers

Guests at a pizza party are seated at three tables. The small table has 5 seats and 2 pizzas. The medium table has 7 seats and 3

bagirrra123 [75]

Answer:

the 5 seated table with the 2 pizzas got more each.

Step-by-step explanation:

$\frac{5}{2} = 2\frac{1}{y2}$ pieces each

$\frac{7}{3} = 2\frac{1}{3}$ pieces each

$\frac{12}{5} = 2\frac{2}{5}$ pieces each

Now change the fractions s that they all have a common denominator.

$2\frac{1}{2} = 2\frac{15}{30}$

$2\frac{1}{3} = 2\frac{10}{30}$

$2\frac{2}{5} = 2\frac{15}{30}$

Thus meaning that the 5 seated table with the 2 pizzas got more each.

6 0

3 years ago