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3 years ago

10

Romona ran for 14 min. The number of yards she ran y, is proportional to the number of minutes she ran, m. Ramona ran a total of

3136 yards

1 answer:

leva [86]3 years ago

3 0

Answer:

224 y/m

Step-by-step explanation:

divide 3136 by 14, to get the yards ran in relation to minutes. you'll get 224 yards per minute (y/m)

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Find the percent increase or decrease: 43 to 78

Kobotan [32]

Answer:

81.39% increase.

Step-by-step explanation:

Given: There is change in number from 43 to 78.

First lets find the amount of change or difference in number.

Difference in number= $78-43= 35$

∴ Difference in number show that there is an increase of 35 number.

Now, finding the percent change in the number.

Percent= $\frac{Difference\ in\ number}{base\ number} \times 100$

⇒ Percent change in number= $\frac{35}{43} \times 100= 81.39\%$

∴ 81.39% increase in the number.

3 0

2 years ago

Among the four northwestern states, Washington has 51% of the total population, Oregon has 30%, Idaho has 11%, and Montana has 8

morpeh [17]

Answer:

Step-by-step explanation:

H₀ : The distribution of the sample agrees with the population distribution.

H₁ : the distribution of the does not agree with the population distribution.

Using the Chi-square test statistics

we will compute the expected frequencies

Now expected frequency for Washington will be

Fe = Npi = 1000×51% = 5100

expected frequency for Oregon

Fe = Npi = 1000×30% = 300

expected frequency for Idaho

Fe = Npi = 1000×11% = 110

expected frequency for Montana

Fe = Npi = 1000×8% = 80

The Chi=square test statistics is;

x² = ∑ [ (Fo - Fe)² / Fe )

now we substitute

Given our Fo ( 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana) from the question

x² = (450-510)²/510 + (340-300)²/300 + (150-110)²/110 + (60-80)²/80

x²= 31.9376

so the chi-square test statistics is 31.9376

Now the chi-square critical value

first we compute for degree of freedom

d.f = k -1 = 4 - 1 = 3

So from the critical value table, degree of freedom 3 and significance level 0.05,

the chi-square critical value is 7.8147

Therefore chi-square test statistics 31.9376 is greater than the chi-square critical value 7.8147, so NULL HYPOTHESIS IS REJECTED at 5% significance.

There is sufficient evidence to warrant rejection of the claim that the distribution of the sample agrees with the distribution of the state populations.

3 0

3 years ago

Which ones are the alternative exterior angles

lakkis [162]

Answer:

Step-by-step explanation:

Angle pair 1 and 8

and

Angle pair 2 and 7

7 0

2 years ago

Read 2 more answers

Prove that the figure is a parallelogram. If so, classify the parallelogram. Be specific and justify your answer.

sesenic [268]

Answer:

Step-by-step explanation:

If it is a parallelogram the opposite sides will a have the same slope.

Using the diagram we see from the coordinates of A and B:

Slope of AB = (5 - -1)/(-1 - -5)

= 6/4

= 3/2.

In the same way

slope of CD = (2 - -4) / (1 - -3)

= 3/2.

So AB and CD can be shown to be parallel.

Similarly the lines BC and AD are parallel.

So the figure is a parallelogram

Finding the perimeter (counting the units between the points):

Perimeter = 2AB + 2BC

By Pythagoras:

AB = sqrt (6^2 + 4^2) = sqrt 52

BC = sqrt (3^2 + 2^2) = sqrt 13

So Perimeter = 2sqrt52 + 2sqrt13

= 4sqrt13 + 2 sqrt13

= 6sqrt13

or 21.63 unit^2 to 2 decimal places.

Area = sqrt52 * perpendicular distance between the lines AB and CD.

8 0

2 years ago

Maria says that 6.25 os 1/100 the value od 625.Wriye an explanation to support Maria's statement.You can use equations or models

KonstantinChe [14]

<span>To explain how these values are related, take the second value (625) and multiply it by 1/100, or in decimal form, 0.01. This is the equivalent of moving the decimal point two spaces to the left, which will give a result of 6.25. (625 * 0.01 = 6.25). This shows that the two values are 100 times different than each other.</span>

4 0

3 years ago