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3 years ago

What fraction of 60 is 45?

Mathematics

2 answers:

JulijaS [17]3 years ago

8 0

This is the answer 45/60 = 3/4 = 0.75

erik [133]3 years ago

7 0

Hi Ebiffy,

What fraction of 60 is 45 ?

45 / 60 = (15 x 3) / (15 x 4) = 3 / 4

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Suppose your statistics professor reports test grades as z-scores, and you got a score of 2.49 on an exam. (a) Write a sentenc

Oduvanchick [21]

Answer:

a) A z-score of 2.49 means that your grade was 2.49 standard deviations above the mean of all grades.

b) 1.39% of the class scored lower than your friend.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

You got a score of 2.49 on an exam.

(a) Write a sentence explaining what that means

A z-score of 2.49 means that your grade was 2.49 standard deviations above the mean of all grades.

(b) Your friend got a z-score of negative 2−2. If the grades satisfy the Nearly Normal Condition, about what percent of the class scored lower than your friend? 

This percentage is the pvalue of $Z = -2.2$

So 0.0139 = 1.39% of the class scored lower than your friend.

7 0

3 years ago

What is the probability that a family of 4 children will have all girls?

Alex73 [517]

Since as of now we're saying that the probability of having a girl is 1/2, we can say:
1/2 * 1/2 * 1/2 * 1/2, because then you're saying a one half chance of having a girl times another one half chance of having a girl, etc.
That ends up to be 1/16.

3 0

3 years ago

q(x)= x 2 −6x+9 x 2 −8x+15 q, left parenthesis, x, right parenthesis, equals, start fraction, x, squared, minus, 8, x, plus, 1

AURORKA [14]

According to the theory of rational functions, there are no vertical asymptotes at the rational function evaluated at x = 3.

<h3>What is the behavior of a functions close to one its vertical asymptotes?</h3>

Herein we know that the rational function is q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15), there are vertical asymptotes for values of x such that the denominator becomes zero. First, we factor both numerator and denominator of the equation to see evitable and non-evitable discontinuities:

q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15)

q(x) = [(x - 3)²] / [(x - 3) · (x - 5)]

q(x) = (x - 3) / (x - 5)

There are one evitable discontinuity and one non-evitable discontinuity. According to the theory of rational functions, there are no vertical asymptotes at the rational function evaluated at x = 3.

To learn more on rational functions: brainly.com/question/27914791

#SPJ1

8 0

2 years ago

An airplane has 29 seats. The price for a coach seat is $600 in the price for a first class seat is $1050. The airline collected

In-s [12.5K]

Answer:

19 coach seats

Step-by-step explanation:

let the number of coach seats be C and number of first class seats be F

given that the total number of seats is 29,

C + F = 29 ---------(eq 1)

also given that each coach seat = $600, each 1st class seat is $1050 and a total of $21900 was collected,

600C + 1,050F = 21,900 -------(eq 2)

we have 2 equations and 2 unknowns, we can solve the system of equations by elimination

(eq 1) x 1,050 gives us:

1,050 (C + F) = 1,050(29)

1,050C + 1,050F = 30,450 ----- (eq 3)

by elimination, subtract eq 2 from eq 3

(1,050C + 1,050F) - (600C + 1,050F) = 30,450 - 21,900

1,050C - 600C = 8,550

450C = 8550

C = 855 /450

C = 19

7 0

4 years ago

On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove

Fantom [35]

Let t become the time he spent commuting on the first day of his vacation.

It is then calculated as $t + 2$ .

$\to 40\times(t+2) = 60(t) + 20 \\\\\to 40t+80 = 60t + 20 \\\\\to 80-20 = 60t + 40t \\\\\to 60 = 20t \\\\\to t=\frac{60}{20} \\\\\to t=\frac{6}{2} \\\\\to t= 3\\\\$

It traveled $40\times (3 + 2) + 20 = 40\times 5 + 20 = 200+20=220$ miles on its first day of operation.

The car traveled $180\ miles$ on the second day, which was $60 \ miles \times 3$ .

So,

Total mileage= first day traveled + second day traveled $= 220+ 180= 400 \miles$

Learn more:

Total distance traveled: brainly.ph/question/11690847

8 0

3 years ago