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3 years ago

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Jonas is doing a science experiment with his class. The teacher has 21 fluid ounce of pond water to share equally with 10 pairs

of students. How much pond water will Jonas and his science partner receive?

1 answer:

tiny-mole [99]3 years ago

3 0

2.1 ounces because you divide 21 by 10 which equals 2.1

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Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probabi

QveST [7]

Answer:

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

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 question, we have that:

$\mu = 387.20, \sigma = 68.50$

What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?

This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So

X = 425

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

$Z = \frac{425 - 387.20}{68.50}$

$Z = 0.55$

$Z = 0.55$ has a pvalue of 0.7088

X = 325

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

$Z = \frac{325 - 387.20}{68.50}$

$Z = -0.91$

$Z = -0.91$ has a pvalue of 0.1814

0.7088 - 0.1814 = 0.5274

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

7 0

2 years ago

GalinKa [24]

Answer:

I don't know sorry

sorry

Step-by-step explanation:

I don't know sorry

sorry

3 0

2 years ago

Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an ini

Verizon [17]

Answer:

after 3 hours of instruction.

Step-by-step explanation:

First, start by setting up the equation.

Leda charges an initial fee, meaning this fee is only going to be one time. However, there is an hourly rate of 11. Since we do not know how many hours these piano lessons are going to last, we put a variable (I will use x), after this number.

The initial fee is 8.50. There needs to be a variable after 11 because that is the number we don't know.

The equation for Leda's lessons are <em>8.50+11.00x. </em>

Now, we need to find out what the equation for Thanh's lessons are going to be, because we're going to be setting both equations equal to each other to find out when they cost the same. At the moment both equal each other, is when they are the same amount.

Thanh's equation also has an intial fee and an hourly rate. So, the equation will be

<em>10.00+10.50x. </em>

Now we solve.

<em>8.50+11.00x = 10.00+10.50x </em>

First, subtract from both sides. We will do the numbers without variables first.

<em>8.50+11.00x = 10.00+10.50x </em>

<em>-8.50 -8.50 </em>

<em>____________________</em>

<em>0 +11.00x = 1.50 +10.50x</em>

Then, subtract the x's. (taking away the zero because it is equivalent to nothing)

<em>11.00x = 1.50 +10.50x</em>

<em>- 10.50x -10.50x</em>

<em>__________________</em>

<em>0.50x = 1.50 </em>

Lastly, to find out the answer, we divide.

1.50/0.50= 3.

<u>To check your answer, you can plug into the original equation. </u>

<em>8.50+11.00 times 3 = 10.00+10.50 times 3 </em>

Both sides equal 41.50, meaning they are equal to each other!

7 0

2 years ago

Read 2 more answers

On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (

irga5000 [103]

Answer:

The correct option is;

Use a scale factor of 2

Step-by-step explanation:

The parameters given are;

A = (1, -6)

B = (5, -6)

C = (6, -2)

D = (0, -2)

A'' = (1.5, 4)

B'' = (3.5, 4)

C'' = (4, 2)

D'' = ( 1, 2)

We note that the length of side AB in polygon ABCD = √((5 -1)² + (-6 - (-6))²) = 4

The length of side A''B'' in polygon A''B''C''D'' = √((3.5 -1.5)² + (4 - 4)²) = 2

Which gives;

AB/A''B'' = 4/2 = 2

Similarly;

The length of side BC in polygon ABCD = √((6 -5)² + (-2 - (-6))²) = √17

The length of side B''C'' in polygon A''B''C''D'' = √((4 -3.5)² + (2 - 4)²) = (√17)/2

Also we have;

The length of side CD in polygon ABCD = √((6 -0)² + (-2 - (-2))²) = 6

The length of side C''D'' in polygon A''B''C''D'' = √((4 -1)² + (2 - 2)²) = 3

For the side DA and D''A'', we have;

The length of side DA in polygon ABCD = √((1 -0)² + (-6 - (-2))²) = √17

The length of side D''A'' in polygon A''B''C''D'' = √((1.5 -1)² + (4 - 2)²) = (√17)/2

Therefore the Polygon A B C D can be obtained from polygon A''B''C''D'' by multiplying each side of polygon A''B''C''D'' by 2

The correct option is therefore;

Use a scale factor of 2.

3 0

3 years ago

Read 2 more answers

VOLUME help me yall fr please

s2008m [1.1K]

..

..

..

Volume = 71.2 m3

4 0

2 years ago

Read 2 more answers