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raketka [301]
3 years ago
10

The nutrition fact on a particular snack food states that 40% of calories come from fat. If 20 of the total calories come from f

at, how many total calories are in the food.
Mathematics
1 answer:
OleMash [197]3 years ago
5 0

Answer:

The total calories in the food is 50.

Step-by-step explanation:

Given,

Calories coming from fat = 20

In percentile calories coming from fat = 40%

Solution,

Let the total calories in the food be 'x'.

And given that 40% of the total calories are coming from fat, which is 20.

That means x multiplied with 40% is equal to 20.

So framing the above sentence in equation form, we get;

x\times40\%=20

Now we have to remove the percentile.

For this we have to divide 40 by 100, then we get;

x\times\frac{40}{100}=20\\

Multiplying by 100 on both side, we get;

x\times40=20\times100\\\\x=\frac{20\times100}{40}\\\\x=50

Hence The total calories in the food is 50.

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In a simple regression analysis for a given data set, if the null hypothesis β = 0 is rejected, then the null hypothesis ρ = 0 i
kati45 [8]

Answer:

Null hypothesis: \rho =0

Alternative hypothesis: \rho \neq 0

The statistic to check the hypothesis is given by:

t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: \rho =0

Alternative hypothesis: \rho \neq 0

The statistic to check the hypothesis is given by:

t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

4 0
3 years ago
If Cyrus knows that △ABC∼△EDC and AB¯¯¯¯¯¯¯¯∥ED¯¯¯¯¯¯¯¯, how can he prove that line m passing through AB¯¯¯¯¯¯¯¯ has the same sl
Illusion [34]

As AB and ED are parallel, they have the same slope. This means that since lines that are colllinear with parallel segments are parallel, lines l and m are parallel.

4 0
2 years ago
CAN SOMEONE PLS TELL ME DOMAIN AND RANGE
lorasvet [3.4K]

Answers:

  • Domain is (-4, 3]
  • Range is (-5, 5]

=====================================================

Explanation:

The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that -4 < x \le 3. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).

The interval -4 < x \le 3 then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.

It says: x is between -4 and 3. It can't equal -4 but it can equal 3.

So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.

--------------------------------------------------

The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.

The range as a compound inequality is -5 < y \le 5. This condenses into the shorthand of (-5, 5] which is the range in interval notation.

Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.

5 0
3 years ago
Read 2 more answers
The flow rate of a water pump is 2.8 gallons per minute. How many minutes does it take this pump to transfer 84 gallons of water
klio [65]
84÷2.8 =3.0 that's what I did when I learned it
4 0
3 years ago
How do you get the answer to 18,000 seconds = hrs?
Alex777 [14]
First you'd convert the seconds into minutes by dividing.

18,000 / 60 (60 secs in a min) = 300 minutes

Then, similarly,  you would convert the minutes into hours.

300 / 60 (60 mins in an hr) = 5 hours

The answer is 5 hours.
5 0
3 years ago
Read 2 more answers
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