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natka813 [3]
3 years ago
12

Suppose ACT Science scores are normally distributed with a mean of 20.8 and a standard deviation of 5.2. A university plans to s

end letters of recognition to students whose scores are in the top 12%. What is the minimum score required for a letter of recognition? Round your answer to the nearest tenth, if necessary.
Mathematics
2 answers:
erik [133]3 years ago
3 0

Answer:

20.854

Step-by-step explanation:

Pachacha [2.7K]3 years ago
3 0

Answer:

Hello,

Answer 26.9

Step-by-step explanation:

z=\dfrac{x-m}{\sigma} \\m=20.8\\\sigma=5.2\\\\p(z>?)\geq 0.12\ \longrightarrow 1-p(z\leq ?)=(1-0.12))\\\\Using\ table\ of\ normal\ reduce\ with\ 4 \decimals : ?=1.175\\\\x=1.175*5.2+20.8=26.91\approx{26.9}

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300 ml over 15 min is what rate of ml per hour
Mama L [17]

Answer:

1200 ml per hour

Step-by-step explanation:

To compute what rate is 300 ml over 15 mins as a rate of ml per hour, we do a rule of 3, using a variable x as that amount of ml we don't know yet. We should have everything in the same units, so instead of writing 1 hour we write 60 minutes:

\frac{300~ml}{15~min}=\frac{x~ml}{60~mins}

Now we solve for x:

\frac{300~ml}{15~min}\cdot 60~mins=x~ml

\frac{18000~ml}{15} =x~ml

1200~ml =x~ml

And so, now that we know the value of x, the rate we wanted to find is

\frac{1200~ml}{60~mins}

Which is just 1200 ml per hour.

3 0
3 years ago
NEED HELP ASAP
mr_godi [17]

Answer:

The assumption in the personality and politics literature is that a person's personality motivates them to develop certain political attitudes later in life. This assumption is founded on the simple correlation between the two constructs and the observation that personality traits are genetically influenced and develop in infancy, whereas political preferences develop later in life. Work in psychology, behavioral genetics, and recently political science, however, has demonstrated that political preferences also develop in childhood and are equally influenced by genetic factors. These findings cast doubt on the assumed causal relationship between personality and politics. Here we test the causal relationship between personality traits and political attitudes using a direction of causation structural model on a genetically informative sample. The results suggest that personality traits do not cause people to develop political attitudes; rather, the correlation between the two is a function of an innate common underlying genetic factor.

Step-by-step explanation:

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3 years ago
Bus X travels 224 miles in 4 hours. Write the equation of the line that describes the relationship between distance y and time x
nikklg [1K]

Answer:

The answer is 56

Step-by-step explanation:

The equation is Y=56x+4 I think

8 0
3 years ago
The length of a rectangle is 4 cm more than twice the width. The area is 48 cm^. What is the length of the rectangle
REY [17]

Answer:

The regular length of the rectangle is 10

Step-by-step explanation:

3 0
3 years ago
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15x + 80 = 22x + 31
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The bonus was $7
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