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Mashutka [201]
3 years ago
12

Suppose that the scores on a reading ability test are normally distributed with a mean of and a standard deviation of . What pro

portion of individuals score more than points on this test? Round your answer to at least four decimal places.
Mathematics
1 answer:
Gnoma [55]3 years ago
4 0

Answer:

The proportion of individuals score at most 74 points on this test is 70%.

Step-by-step explanation:

The complete question is:

Suppose that the scores on a reading ability test are normally distributed with a mean of 70 and a standard deviation of 8. What proportion of individuals score at most 74 points on this test? Round your answer to at least four decimal places.

Solution:

Let <em>X</em> represent the scores on a reading ability test.

It is provided that X\sim N(70,8^{2}).

Compute the probability that an individuals score is at most 74 points on this test as follows:

P(X\leq 74)=P(\frac{X-\mu}{\sigma}\leq \frac{74-70}{8})

                 =P(Z

Thus, the proportion of individuals score at most 74 points on this test is 70%.

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Multiply the polynomials show steps
Karo-lina-s [1.5K]

Answer:

3a^{4} + 11a³ - 7a² + 18a - 18

Step-by-step explanation:

<u>When multiplying with two brackets, you need to multiply the three terms, (a²), (4a) and (-6) from the first bracket to all the terms in the second brackets, (3a²), (-a) and (3) individually. I have put each multiplied term in a bracket so it is easier.</u>

(a² + 4a - 6) × (3a² - a + 3) =

(a² × <em>3a²</em>) + {a² × <em>(-a)</em>} + (a² × <em>3</em>) + (4a × <em>3a²</em>) + {4a × <em>(-a)</em>} + (4a × <em>3</em>) + {(-6) × <em>a²</em>) + {(-6) × <em>(-a)</em>} + {(-6) × <em>3</em>}

<u>Now we can evaluate the terms in the brackets. </u>

(a² × 3a²) + {a² × (-a)} + (a² × 3) + (4a × 3a²) + {4a × (-a)} + (4a × 3) + {(-6) × a²) + {(-6) × (-a)} + {(-6) × 3} =

3a^{4} + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18)

<u>We can open the brackets now. One plus and one minus makes a minus. </u>

3a^{4} + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18) =

3a^{4} -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18

<u>Evaluate like terms.</u>

3a^{4} -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18 = 3a^{4} + 11a³ - 7a² + 18a - 18

5 0
3 years ago
Write a Mathematical proof to show (3x)(5y)(7z) is equivalent to 105xyz
larisa86 [58]
=3*5*7 (xyz)
=15*7 xyz
=105xyz
7 0
3 years ago
Read 2 more answers
Maya's history test had 40 questions. She answered 95% of the items correctly. How many questions did Maya answer correctly?
ankoles [38]

Maya got 38 of them right

5 0
2 years ago
Read 2 more answers
A state trooper temp track of the number of speeding ticket he gave out each week over the course of seven weeks in the table be
NikAS [45]

Answer:

B: The center of data is shown by the mean, which is 43.

Step-by-step explanation:

Add up all the digits (33+38+38+40+44+51+57)/7=43 the mean. The mean is always teh center of data so it's B. Hope this helps.

3 0
3 years ago
How many dots would be in the 7th picture ?
neonofarm [45]

Answer: 28 dots

Step-by-step explanation: In this pattern,

we can see the the first figure is just 1 dot.

The second figure has a new row on the bottom with 2 dots.

The third figure has a new row on the bottom with 3 dots

and the fourth figure has a new row on the bottom with 4 dots.

So continuing with this pattern,

the next figure will have a new row with 5 dots,

the next will have a new row with 6 dots,

and the next will have a new row with 7 dots.

So in the 7th picture, we will have 7 + 6 + 5 + 4 + 3 + 2 + 1 dots.

This simplifies to 28 dots.

Take a look below.

6 0
3 years ago
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