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3 years ago

Michael lives in the northwest corner of Clark County. Clara

Mathematics

1 answer:

timama [110]3 years ago

7 0

Answer:

About 0.41 hours

Step-by-step explanation:

THe distance between Michael and Clara is 44 km.

We know D = RT,

Where

D is distance

R is rate (speed)

T is time

For Michael, we can write:

D = 47t

For Clara, we can write:

D = 61t

If we let michael's distance be x, Clara's distance would be 44 - x

So, we can say:

x = 47t

and

44 - x = 61t

Putting first equation into 2nd, we get:

44 - 47t = 61t

SOlving:

44 - 47t = 61t

44 = 61t + 47t

44 = 108t

t = 44/108 = 0.41 hours

The commute took 0.41 hours

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In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300

Oduvanchick [21]

Answer:

The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total sample 2 number (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The hypothesis (Null) ....> H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ = 0.3 - 0.25/√0.2667 (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722, then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0

3 years ago

If you knew that the vertical intercept for a straight line was 150 and that the slope of the line was 4, then the dependent var

Maslowich

Answer:

Value of the independent variable = 25

Step-by-step explanation:

y-intercept form of a straight line is represented by the equation,

y = mx + b

here y = dependent variable

m = slope

b = y intercept or vertical intercept

x = independent variable

In our question,

y-intercept 'b' = 150

slope of the line 'm' = 4

dependent variable y = 250

We will plug in these values in the equation of the line to get the value of the independent variable.

250 = 4x + 150

250 - 150 = 4x

x = $\frac{100}{4}$

x = 25

Therefore, value of the independent variable is 25.

7 0

3 years ago

An 18 pound turkey cooks for 4.5 hours. How long will it take for a 12 pound turkey to cook?

OverLord2011 [107]

Answer:

3 hours

Step-by-step explanation:

We can solve using ratios

18 lbs 12 lbs

------------ = --------------

4.5 hrs x hours

Using cross products

18x = 12 * 4.5

18x = 54

Divide by 18

18x/18 = 54/18

x=3

6 0

3 years ago

Read 2 more answers

Find the length width and height of both then find the whole volume plz help me stuck

Phantasy [73]

3 by 2 by 4
volume =24 (units)

4 by 5 by 5
volume= 100(units)

4 0

3 years ago

A spinner is divided into 10 congruent sections, numbered 1 through 10. If Cleo spins the spinner once, what is the probability

mario62 [17]

Answer:

20% or 1/5 or 0.2

Step-by-step explanation:

1. There are 10 sections, which means each section has a a chance of 10% to be landed on.

2. There are two multiples of four under 10: 4 and 8.

That means there is a 2 * 10% = 20% chance that the spinner will land on a multiple of 4.

7 0

3 years ago