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Yuki888 [10]
3 years ago
8

A group of 33 people attended a ball game. There were twice as many children as adults in the group. Set up a system of equation

s that represents the number of adults and children who attended the game and solve the system to find the number of adults and the number of children who were in the group.
Mathematics
1 answer:
hoa [83]3 years ago
4 0

Answer:

1.2a+a=33

2.3a=33

3.a=11

Step-by-step explanation:

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Among freshman at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 10
lina2011 [118]

Answer:

a) 6.68th percentile

b) 617.5 points

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.

In this problem, we have that:

\mu = 550, \sigma = 100

a) A student who scored 400 on the Math SAT was at the ______ th percentile of the score distribution.

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

Z = \frac{400 - 550}{100}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

So this student is in the 6.68th percentile.

b) To be at the 75th percentile of the distribution, a student needed a score of about ______ points on the Math SAT.

He needs a score of X when Z has a pvalue of 0.75. So X when Z = 0.675.

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

0.675 = \frac{X - 550}{100}

X - 550 = 0.675*100

X = 617.5

6 0
3 years ago
3 + 1 < 10 solve, then graph the solution
ryzh [129]

           3 + 1 < 10

There's no question there, and nothing to solve.  That's a simple statement
which, after simplifying it slightly, says " 4 < 10 ".

A statement with which, I'm sure, we can all agree.


3 0
3 years ago
What is the value of x? <br><br> Enter your answer in the box.<br><br> X =
melamori03 [73]

Answer:

x=54

Step-by-step explanation:

2x + 2 = 3x - 52

subtract 2x from both sides, now u have:

2 = x - 52

add 52 from both sides, now u have

54 = x

7 0
2 years ago
Suppose the radius of a circle is 3 units what is the circumference
HACTEHA [7]

Answer:

6\pi or approximately 18.85 units

Step-by-step explanation:

The formula for finding the circumference of a circle is C=2\pi r, where C = circumference and r = radius. In this case, r=3, so after plugging that into C=2\pi r, we get:

C=2\pi r\\  = 2*\pi *3\\=6\pi

Since \pi is approximately 3.1415, 6\pi =6*3.1415=18.849, which rounds to 18.85. Therefore, the circumference of the circle is 6\pi, or approximately 18.85 units. Hope this helps!

8 0
2 years ago
hakim wrote an equation to represent the number of meters he would run for each kilometer, k, in a long distance race.W hat is t
ASHA 777 [7]
K=500 because of the kilometer
5 0
2 years ago
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