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3 years ago

7/8 teaspoons is 1/4 groups of what size?

2 answers:

8 0

The answer of the question is 7/2
Calculations

(7/8) / (1/4)

Change to multiply by the reciprocal:

(7/8) * 4

The answer is:

7/2

mars1129 [50]3 years ago

6 0

Answer:

$x=\frac{7}{2}$

Step-by-step explanation:

Let x be the required size.

We are asked to find $\frac{7}{8}$ teaspoons is $\frac{1}{4}$ groups of what size.

This means that $\frac{1}{4}$ of x is equal to $\frac{7}{8}$ . We can represent our given information in an equation as:

$\frac{1}{4}x=\frac{7}{8}$

$4 \times \frac{1}{4}x=4 \times \frac{7}{8}$

$x=1 \times \frac{7}{2}$

$x=\frac{7}{2}$

Therefore, $\frac{7}{8}$ is $\frac{1}{4}$ of $\frac{7}{2}$ .

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In Inglis County me were 2,277 student athletes competing in spring sports in 2014. Thai was of the number which was of the numb

Anna35 [415]

2014⇒2277 athletes

2013⇒2070 athletes.
x=number of athletes in 2013
110% of x=2277
(110/100x=2277
x=(2277*100)/110=2070

2012⇒2300 athletes.
x=number of athletes in 2012
90% of x=2070
(90/100)x=2070
x=(2070*100)/90=2300

Answer: 2300 athletes were signed up for a spring sport in 2012.

7 0

3 years ago

Change the polar coordinates to rectangular coordinates. (a) (3, 5π/6)

elixir [45]

Ok so given the point (r, theta)
The corresponding Cartesian point is (r*sin(theta), r* cos(theta)) you can think about this by analyzing the points on a unit circle which is a graph of a polar circle with radius 1 and angle theta

6 0

3 years ago

Select the correct answer.<br> Which function is the inverse of function<br> f(x) = -2

Artemon [7]

Answer:

Step-by-step explanation:

let f(x) = y and rearrange making x the subject

y = $\frac{x+2}{7}$ ( multiply both sides by 7 to clear the fraction )

7y = x + 2 ( subtract 2 from both sides )

7y - 2 = x

Change y back into terms of x with x the inverse function, that is

p(x) = 7x - 2

8 0

3 years ago

Read 2 more answers

The variance can never bea.zerob.larger than the standard deviationc.negatived.smaller than the standard deviation

MrRa [10]

Answer:

c.negative

True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.

Step-by-step explanation:

We need to remember that the variance is a measure of dispersion for a dataset respect to a measure of central tendency called the mean. The mean is defined as:

$\bar x = \frac{\sum_{i=1}^n X_i}{n}$

And the population mean is given by:

$\mu= \frac{\sum_{i=1}^n X_i}{N}$

The population variance is defined by:

$\sigma^2 = \frac{\sum_{i=1}^n (X_i -\mu)^2}{N}$

And the sample variance is defined as:

$s^2= \frac{\sum_{i=1}^n (X_i -\bar x)}{n-1}$

Now if we analyze the options we have this:

a.zero

False, if all the values are the same then the mean would be the same to the values and the difference between each value and the mean would 0 and indeed the variance would be 0.

b.larger than the standard deviation

False, if the population standard deviation is $\sigma=2$ then the variance would be $\sigma^2 = 4$ and as we can see is higher than the standard deviation

c.negative

True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.

d.smaller than the standard deviation

False, if the population standard deviation is $\sigma=0.1$ then the variance would be $\sigma^2 = 0.01$ and as we can see is lower than the standard deviation

7 0

3 years ago

Solve the inequality 4-X < 9.

anzhelika [568]

Answer:

Step-by-step explanation:

6 0

2 years ago