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Korvikt [17]
1 year ago
12

Ethan is following a healthy diet plan and is allowed 3000 calories and 30 grams

Mathematics
1 answer:
dexar [7]1 year ago
3 0
Fat 6 of he eat sandwich and chocken
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In the graphic below,
sukhopar [10]

The external angle is suplementary to the internal angle close to it. We also know that the sum of all the internal angles of the triangle are equal to 180 degrees, this means that the angle "a" is suplementary to the sum of the angles "b" and "c". Through this logic, we can conclude that since:

\begin{gathered} \angle d=180-\angle a \\ \angle b+\angle c=180-\angle a \end{gathered}

Then we can conclude that:

\angle d=\angle b+\angle c

Therefore the statement is true, the exterior angle is equal to the sum of its remote interior angles.

Let's use an example:

On this example, the external angle is 120 degrees, therefore the sum of the remote interior angles must also be equal to that. Let's try:

x=75+45=120

The sum of the remote interior angles is equal to the external angle.

6 0
11 months ago
What is 1556 rounded to the nearest thousand
fgiga [73]
Greetings!

"<span>What is 1556 rounded to the nearest thousand?"...

The thousand place value number is in bold: 1556.

Since the number to the right of the bold number is 5 or greater, we round up.

1556 rounded from the thousand place value is 2000.

Hope this helps.
-Benjamin</span>
6 0
3 years ago
Help me pls and pls show work
EleoNora [17]

Answer:

if you need it as improper then 25/12

Step-by-step explanation:

5 0
3 years ago
Duck #1 lays eggs whose weights are normally distributed with a mean of 70gramsand a standard deviation of 6 grams.Duck #2 lays
Genrish500 [490]

Answer:

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?

Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.

When we subtract normal distributions, the mean is the subtraction of the means. So

\mu = 65 - 70 = -5

The standard deviation is the square root of the sum of the variances. So

\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81

Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{0 - (-5)}{7.81}

Z = 0.64

Z = 0.64 has a pvalue of 0.7389

1 - 0.7389 = 0.2611

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

4 0
2 years ago
Keith ate 2/6 of a candy bar. if there were 6 pieces total,what fraction of the candy bar left?
Effectus [21]
<span>If there were 6 pieces total and Keith ate two of them. 
So 6/6 - 2/6 = 4/6 or 2/3.</span>
3 0
3 years ago
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