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2 years ago

Which improper fraction is represented by the model? 12 / 4 10 / 3 12 / 3

Mathematics

1 answer:

Ksivusya [100]2 years ago

3 0

Answer:

$\frac{10}{3}$

Step-by-step explanation:

each circle is composed of 3 sectors

The first 3 are completely shaded representing 3 + 3 + 3 = 9 sectors

the last one has 1 sector of 3 shaded representing 1 sector

sectors shaded = 9 + 1 = 10

improper fraction is then $\frac{10}{3}$

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According to the College Board website, the scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507 and st

Leviafan [203]

Answer:

The actual SAT-M score marking the 98th percentile is 735.

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:

$\mu = 507, \sigma = 111$

Find the actual SAT-M score marking the 98th percentile

This is X when Z has a pvalue of 0.98. So it is X when Z = 2.054. So

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

$2.054 = \frac{X - 507}{111}$

$X - 507 = 2.054*111$

$X = 735$

8 0

3 years ago

A taxi charges a pick-up fee p!us a charge per mile. Maria paid $15.00 for a 7 mile rode. To my paid $19.50 for a 10 mile ride.

lukranit [14]

Answer:

The y-intercept in coordinate form is (0, 4.5) and represents the taxi pick-up fee. The equation is y=1.5x + 4.5.

Step-by-step explanation:

This question is asking for the slope and y-intercept of a linear equation. A linear equation makes a straight line based on a constant rate of change. For this problem, the cost per mile is the slope, while the independent variable 'x' is the number of miles and the dependent variable 'y' is the total cost. In order to first find slope, you need to use the two points given (7, 15) and (10, 19.5) to set up a change in y / change in x, or (19.5-15)/(10-7) or 4.5/3 which is 1.5. So the slope, or cost per mile is $1.50. To find the y-intercept (b), or the cost of the pick-up fee, simply fill in your equation y=1.5x + b with your other variables and solve for 'b'. So, 15 = (1.5 x7) + b. or 15 = 10.5 +b, subtract 10.5 from both sides of the equation to get b=4.5.

5 0

3 years ago

Does x+ y < -4 have a solution?<br>

horsena [70]

Answer:

infinite solutions :)

Step-by-step explanation:

infinity solutions, there is infininte possibilitys.

6 0

3 years ago

Read 2 more answers

Need answer asap *** 50 POINTS

lara31 [8.8K]

I’m pretty sure it’s B if not try D

3 0

3 years ago

The dance team held 2 fundraisers to earn money for uniforms. During the second fundraiser, the team raised $450. The team raise

valkas [14]

Answer:

The dance team raised 170$ during the first fundraiser

Step-by-step explanation:

to find how much the first fundraiser earned let's make an equation and make the first fundraiser the variable x

The equation would be:

x+450=620

so we would take away 450 from both sides

x+450-450=620-450

which would make the equation

x=170

meaning that the first fundraiser raised 170$

7 0

2 years ago