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Triss [41]
1 year ago
15

Determine whether the ratios 35 feet every 15 seconds and 7 feet every 2 seconds are equivalent.

Mathematics
1 answer:
murzikaleks [220]1 year ago
5 0

Answer:

Step-by-step explanation:

Find the rate of those two statements:

28 ÷ 16 = 1.75

1.75 ft per seconds

7 ÷ 4 = 1.75

1.75 ft per seconds

Two statements have the same rate, therefore 28 feet every 16 seconds and 7 feet every 4 seconds are equivalent

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According to the Centers for Disease Control, about 18% of adolescents age 12-19 are obese. Suppose we take a random sample of 3
ivann1987 [24]

Answer:

the sampling distribution of proportions

Step-by-step explanation:

A sample is a small group of observations which is a subset of a larger population containing the entire set of observations. The proportion of success or measure of a certain statistic from the sample, (in the scenario above, the proportion of obese observations on our sample) gives us the sample proportion. Repeated measurement of the sample proportion of this sample whose size is large enough (usually greater Than 30) in other to obtain a range of different proportions for the sample is called the sampling distribution of proportion. Hence, creating a visual plot such as a dot plot of these repeated measurement of the proportion of obese observations gives the sampling distribution of proportions

6 0
3 years ago
Let f be the function given by f(x)= (x-1)(x^2-4)/x^2-a. For what positive values of a is f continuous for all real numbers x?
9966 [12]

Answer:

a =1 and a=4.

Step-by-step explanation:

The function is

f(x)=\frac{(x-1)(x^2-4)}{x^2-a}

If we want f(x) to be continuous the denominator needs to be different to 0, otherwise f(x) will be indeterminate.

Now, for a a positive real we have that x=\sqrt{a} will annulate the denominator, i.e

(\sqrt{a})^2-a = a-a = 0. But, if a = 1 we have:

f(x)=\frac{(x-1)(x^2-4)}{x^2-1} = \frac{(x-1)(x^2-4)}{(x-1)(x+1)}=\frac{(x^2-4)}{x+1}

so, the value x=\sqrt{a} = \sqrt{1} = 1 won't annulate the denominator.

Now, for a = 4 we have:

f(x)=\frac{(x-1)(x^2-4)}{x^2-4} = x-1

so, the value x=\sqrt{a} = \sqrt{4} = 2 won't annulate the denominator.

In conclusion, for a=1 or a=1, the function will be continuos for all real numbers, since the denominator will never be 0.

4 0
3 years ago
What is the common denominator of 2/4 and 7/8
Ivenika [448]

Answer:

8

Step-by-step explanation:

\dfrac 24 = \dfrac{ 2 \times 2}{4 \times 2} = \dfrac 4 8

5 0
3 years ago
I NEED ALL 3 ASAP IT CLOSES SOON
Norma-Jean [14]

Answer:

Slope is (-9/3 or) -3

Y-intercept is 4

Equation is y = - 3x + 4

Hope this helps!

4 0
3 years ago
Which equation is equivalent to the given equation? If anyone can help it means a lot
NISA [10]

Answer:

x^2 + 16x + 60 = 0

Step-by-step explanation:

Add 16x to both sides of the given equation.  We get x^2 + 16x + 60 = 0.

8 0
3 years ago
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