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3 years ago

7

Allison has five times as many baseball cards and football cards in all she has 120 baseball and football cards how many basebal

l cards does Alison have

1 answer:

ValentinkaMS [17]3 years ago

6 0

I think you do 120 divided by 5, but I could be wrong.

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A rectangle with an area of 8 ft² is dilated by a factor of 4. What is the area of the dilated rectangle?

prohojiy [21]

Answer:

Option 4) $128\ ft^{2}$

Step-by-step explanation:

we know that

If two figures are similar then the ratio of its areas is equal to the scale factor squared

Let

z------> the scale factor

x-----> the area of the dilated rectangle

y----> the area of the original rectangle

so

$z^{2}=\frac{x}{y}$

we have

$z=4$

$y=8\ ft^{2}$

substitute and solve for x

$4^{2}=\frac{x}{8}$

$x=16(8)=128\ ft^{2}$

4 0

3 years ago

Read 2 more answers

A class has 25 students in it. 4 students drop the class. What is a reasonable estimate for the percentage of students that drop

Angelina_Jolie [31]

Answer:

16% drop

Step-by-step explanation:

4/25 drop

Multiply by 4/4

16/100

16% drop

4 0

3 years ago

Read 2 more answers

Data are drawn from a bell-shaped distribution with a mean of 25 and a standard deviation of 4. There are 1,000 observations in

Delicious77 [7]

Answer:

a. 97.72% of the observations are less than 33

b. Approximately 977 observations are less than 33.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 25 and a standard deviation of 4.

This means that $\mu = 25, \sigma = 4$

a. Approximately what percentage of the observations are less than 33?

The proportion is the p-value of Z when X = 33. So

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

$Z = \frac{33 - 25}{4}$

$Z = 2$

$Z = 2$ has a p-value of 0.9772

0.9772*100% = 97.72%

97.72% of the observations are less than 33.

b. Approximately how many observations are less than 33?

Out of 1000:

0.9772*1000 = 977.2

Approximately 977 observations are less than 33.

6 0

2 years ago

Please help asap 25 pts

yuradex [85]

Since y has to be larger, the area is above the line.

Since the boundary is included (because of ≥ in stead of >) it should be drawn as a solid line.

Brings us to answer A, right?

See plot below.

6 0

3 years ago

Bill and Jerry are both taking their hot-air balloons to the balloon show.

const2013 [10]

9514 1404 393

Answer:

62.6 seconds

Step-by-step explanation:

We can use the 2-point form of the equation for a line to write equations for the heights of the balloons.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

__

For Bill's balloon, the two given points are ...

(t, h) = (-5, 1032) and (5, 985)

Then the equation is ...

h = (985 -1032)/(5 -(-5))(t -(-5)) +1032

h = -47/10(t +5) +1032

__

For Jerry's balloon, the two given points are ...

(t, h) = (0, 0) and (5, 57)

Then the equation is ...

h = (57-0)/(5-0)(t -0) +0

h = (57/5)t

__

The heights are equal when ...

-47/10(t +5) +1032 = (57/5)t

1008.5 = t(57/5 +47/10) = 16.1t

Then the time until heights are the same is ...

t = 1008.5/16.1 ≈ 62.6 . . . seconds

4 0

3 years ago