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luda_lava [24]
3 years ago
8

The masses of the oranges on sale at a farm stand are normally distributed with a mean of 239 grams and a standard deviation of

25 grams.
Enter the z-score of an orange that has a mass of 259 grams.
Mathematics
2 answers:
myrzilka [38]3 years ago
8 0
Figure out the score of 1 gram by dividing 239 by 25 then multiply by 259

If this isn’t correct than I don’t know this is just the way I would solve it
Elena-2011 [213]3 years ago
5 0

Answer:

The masses of the oranges on sale at a farm stand are normally distributed with a mean of 239 grams and a standard deviation of 25 grams.

Enter the z-score of an orange that has a mass of 259 grams.

.8 is the correct answer.

Step-by-step explanation:

I took the test.

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What is the following quotient? 5/√11-√3
kati45 [8]

ANSWER

\frac{5( \sqrt{11}  +  \sqrt{3} )} {8}

EXPLANATION

The given rational function is

\frac{5}{ \sqrt{11} -  \sqrt{3}}

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

\sqrt{11}  -  \sqrt{3}

which is

\sqrt{11}   +  \sqrt{3}

When we rationalize we obtain:

\frac{5( \sqrt{11}  +  \sqrt{3} )}{(\sqrt{11}  - \sqrt{3} )( \sqrt{11}  +  \sqrt{3} )}

The denominator is now a difference of two squares:

(a - b)(a + b) =  {a}^{2}  -  {b}^{2}

We apply this property to get

\frac{5( \sqrt{11}  +  \sqrt{3} )}{( \sqrt{11}) ^{2}    -  ( \sqrt{3}) ^{2}  )}

\frac{5( \sqrt{11}  +  \sqrt{3} )}{11   -  3}

This simplifies to

\frac{5( \sqrt{11}  +  \sqrt{3} )} {8}

Or

\frac{5 }  {8}\sqrt{11}  + \frac{5 }  {8}\sqrt{3}

8 0
3 years ago
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Which value of x solves the equation cos x° = sin (20° + x°), where 0 < x < 90? A. 30° B. 35° C. 40° D. 45° E. 55°
daser333 [38]

Answer:

Option B (35°).

Step-by-step explanation:

To solve this question, the trigonometric identity sin x = cos (90-x) is required. It can also be written as cos x = sin (90-x). It can be seen that this identity holds when the two angles are complementary i.e. they sum up to 90 degrees. Therefore, the answer can be determined by substituting all the options one by one in the identity cos x = sin (20+x). If x=30 degrees, then x+20=50 degrees. 30 and 50 are not complementary. If x=35 degrees, then x+20=55 degrees. 35 and 55 are complementary since their sum is 90 degrees. Therefore, B is the correct choice!!!

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3 years ago
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Answer: 10, 1/10, 2/5

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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