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Anastaziya [24]
3 years ago
5

Consider a value to be significantly low if its z score less than or equal to minus2 or consider a value to be significantly hig

h if its z score is greater than or equal to 2. A test is used to assess readiness for college. In a recent​ year, the mean test score was 21.9 and the standard deviation was 4.9. Identify the test scores that are significantly low or significantly high.
Mathematics
1 answer:
LuckyWell [14K]3 years ago
5 0

Answer:

Step-by-step explanation:

Since we are dealing with z scores, then the distribution is a normal distribution. The formula for determining the z score is expressed as

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 21.9

σ = 4.9

For significantly low values, z = - 2

Therefore,

- 2 = (x - 21.9)/4.9

- 2 × 4.9 = x - 21.9

- 9.8 = x - 21.9

x = - 9.8 + 21.9

x = 12.1

Significantly low test score = 12.1

For significantly high values, z = 2

Therefore,

2 = (x - 21.9)/4.9

2 × 4.9 = x - 21.9

9.8 = x - 21.9

x = 9.8 + 21.9

x = 31.7

Significantly high score = 31.7

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X^2+2x+1 is a perfect square trinomial <br><br> True of False?
Nimfa-mama [501]

Answer:

True.

Step-by-step explanation:

It is because it is in the form a^2x^2+2abx+b^2 and this equals (ax+b)^2.

Why it is in that form:  well comparing  a^2x^2+2abx+b^2, we have a=1, b=1. Testing, plug in those values:

(1)^2x^2+2(1)(1)x+(1)^2

1x^2+2x+1

x^2+2x+1.

This has the squared form of (x+1)^2.

Test if you like:

(x+1)^2

(x+1)(x+1)

Use foil to expand:

First: x(x)=x^2

Outer: x(1)=x

Inner: 1(x)=x

Last: 1(1)=1

---------------Add together

x^2+2x+1

It does indeed equal.

4 0
2 years ago
There is 300 fruit in a basket 50 of them are bananas what percentage is not bananas
scoray [572]

Answer:

83.33%

Step-by-step explanation:

300 - 50 = 250

250/300 = 0.8333 or 83.33%

5 0
2 years ago
Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 81 mm, 7 mm, 6 mm B. 81 mm, 7 mm, 72
Lisa [10]
We know that
The triangle inequality<span> states that for any </span>triangle, t<span>he sum of the lengths of any two sides of a </span>triangle<span> is greater than the length of the third side
</span>so
case <span>A. 81 mm, 7 mm, 6 mm 
6+7 is not > 81

case </span><span>B. 81 mm, 7 mm, 72 mm
72+7 is not > 81

case </span><span>C. 81 mm, 7 mm, 88 mm
81+7 is not > 88

case </span><span>D. 81 mm, 7 mm, 77 mm
81+7 is > 77------> ok
77+7 is > 81-----> ok
81+77 is > 7-----> is ok

the answer is the option
</span>D. 81 mm, 7 mm, 77 mm
3 0
2 years ago
In which set does -15/3
Serjik [45]

Answer:

Rational numbers

Step-by-step explanation:

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1.

8 0
2 years ago
Help me pls, im stuck!!!! :))
timofeeve [1]

Answer:

y=8x

Step-by-step explanation:

The graph starts at the origin so there won't be a y intercept and the slope its 8 because every book costs 8 dollars. Therefore, the equation will be y=8x. Hope this helped

7 0
3 years ago
Read 2 more answers
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