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nasty-shy [4]
3 years ago
12

A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of

100. if the top 3% of students receive $500, find the minimum score you would need to receive this award.
Mathematics
1 answer:
Igoryamba3 years ago
7 0

To solve for the minimum score required, we find for the z score value at P = 0.97 (top 3%). The z score is:

z = 1.88

Then we use the formula to find for X:

z = (X – u) / s

1.88 = (X – 400) / 100

X = 588

 

<span>You have to score at least 588.</span>

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Step-by-step explanation:

just think - what does it mean to translate (shift) a graph upward by 5 units ?

does the graph change in its content ? no. all the functional result value (= y values or coordinates) are still calculated as before, BUT before marking them on the chart the y values are moved up by 5 units. that means they are increased by 5 (that is the only way to move something "up" on a coordinate grid).

so, in other words, f(x) is nothing else but h(x), but it increases the results of h(x) consistently by 5.

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3 years ago
Suppose △ITH≅△APG.<br><br> Which congruency statement is true?
kupik [55]

It is given that the triangles ITH and APG are congruent.

When the two triangles are congruent, then the corresponding angles and sides are congruent to each other.

By being congruent, the corresponding angles which are congruent are:

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SO, Option 2 is the correct answer.

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irina [24]

Answer:

\$128.43

Step-by-step explanation:

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Therefore, the cost of border paper is $6.99 pet 15 feet or $6.99 pet 4.572 meters.

Since the gym is rectangular, the gym's perimeter is equal to:

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Therefore, the cost of the total border paper for the gym is equal to:

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8 0
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ohaa [14]

Answer:

The correct option is B.

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\angle BAC\cong \angle DCA∠BAC≅∠DCA ( Alternate Interior Angles Theorem)

\angle BCA\cong \angle DAC∠BCA≅∠DAC ( Alternate Interior Angles Theorem)

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By ASA postulate,

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