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1 year ago

9

A shark began at 172.5 meters below sea level and then swam up 137.1 meters where is the sharks location now relation to sea lev

el

1 answer:

shutvik [7]1 year ago

8 0

Answer:34.4

Step-by-step explanation:

172.5-137.1=34.4

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The data set shows the admission prices at several museums. $20, $20, $16, $12, $15, $25, $11 Find and interpret the range, inte

Gemiola [76]

11, 12, 15, 16, 20, 20, 25
Mean: 17

The range is 25-11 = 14 (the numbers in bold)

The interquartile range is 20-12=8 (the numbers underlined)

The mean absolute deviation is: 4; this is found by finding how far each number is from 17 (mean): 6,5,2,1,3,3,8 (28) and dividing by 7.

Part B:

The prices vary by no more that $14 (range).

<span>The middle half of the prices vary by no more than $8 (IQR).
</span>
<span>The admission prices differ from the mean price by an average of $4 (MAD).</span>

8 0

1 year ago

the total reimbursement (in dollars) for driving a company car m miles can be modeled by the function f(x) = 0.45m +5. After a p

Luba_88 [7]

Answer:

The slope becomes 0.5625 and y intercept becomes 12.5.

$65.9375

Step-by-step explanation:

Given that

the total reimbursement function in terms of $m$ miles:

$f(x) = 0.45m +5$

After the policy change, 5 more dollars are added and then total amount is multiplied by 1.25.

To find:

How to transform the graph of f.

Total reimbursement for a trip of 95 miles?

Solution:

$f(x) = 0.45m +5$ can also be written as:

$y = 0.45m +5$

It is nothing but slope intercept form, comparing with $Y = M X+ C$

M is the slope and C is the y intercept.

Slope of the graph is 0.45.

Y intercept is 5.

After change in the function, first of all add $5.

$0.45m + 5+5 = 0.45m+10$

Now, multiply with 1.25

Resulting function becomes:

$f(x) =1.25\times (0.45m+10)\\\Rightarrow f(x) =0.5625m+12.5$

Kindly refer to the attached image for the graph of the two functions.

Now, the slope becomes 0.5625 and y intercept becomes 12.5. This is the transformation.

To find the reimbursement for a trip of 95 miles:

Put m = 95

$f(95) =0.5625\times 95+12.5 = \bold{\$65.9375 }$

8 0

2 years ago

Melissa buys 212 pounds of salmon and 114 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per pou

charle [14.2K]

Answer: b

Step-by-step explanation:

3 0

2 years ago

Notice that the alternative hypothesis is a two-tailed test. Suppose ttest_ind method from scipy module is used to perform the t

Korvikt [17]

Answer:

The <em>p</em>-value of the test is 0.0512.

Step-by-step explanation:

The <em>p</em>-value of a test is well-defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.

In this case the output of the t-test_ind method from scipy module is provided as follows:

Output = (-1.99, 0.0512)

The first value within the parentheses is the test statistic value.

So the test statistic value is, -1.99.

And the second value within the parentheses is the <em>p</em>-value of the test.

So the <em>p</em>-value of the test is 0.0512.

6 0

2 years ago

An annexation suit against a county subdivision of 1200 residences is being considered by a neighboring city. If the occupants o

Sunny_sXe [5.5K]

Answer:

Probability that in a random sample of 10 at least 3 favor the annexation suit is 0.9453.

Step-by-step explanation:

We are given that an annexation suit against a county subdivision of 1200 residences is being considered by a neighboring city. The occupants of half the residences object to being annexed.

Also, a random sample of 10 residents is taken.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 10 residents

r = number of success = at least 3

p = probability of success which in our question is probability that

residents favor the annexation suit, which is calculated as below;

p = $\frac{\text{Number of residents favoring the annexation suit }}{\text{Total number of residents considered } }$ = $\frac{600}{1200}$ = 0.50

<em>LET X = Number of residents favoring the annexation suit</em>

So, it means X ~ $Binom(n=10, p=0.50)$

Now, Probability that in a random sample of 10 at least 3 favor the annexation suit is given by = P(X $\geq$ 3)

P(X $\geq$ 3) = 1 - P(X < 3) = 1 - P(X $\leq$ 2)

= 1 - [P(X = 0) + P(X = 1) + P(X = 2)]

= $1- [\binom{10}{0}\times 0.50^{0} \times (1-0.50)^{10-0} + \binom{10}{1}\times 0.50^{1} \times (1-0.50)^{10-1} +\binom{10}{2}\times 0.50^{2} \times (1-0.50)^{10-2}]$

= $1-[ 1 \times 1 \times 0.50^{10}+10 \times 0.50^{1} \times 0.50^{9}+45 \times 0.50^{2} \times 0.50^{8}]$

= $1-[ 0.50^{10}+10 \times 0.50^{10}+45 \times 0.50^{10}]$

= $1-0.50^{10}[ 1+10 +45 ]$ = $1-0.50^{10} \times 56$

= 0.9453

Therefore, Probability that in a random sample of 10 at least 3 favor the annexation suit is 0.9453.

8 0

2 years ago