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3 years ago

The expression - 370 + 15z represents a submarine that began at a depth of 370 feet below sea leve

Mathematics

1 answer:

Aleks [24]3 years ago

5 0

Answer:

The depth of the submarine was 295 feet

Step-by-step explanation:

Function Modeling

The following expression models the depth of a submarine that began at -370 m and ascended at 15 ft/minute:

d = -370 + 15z

Where z is the time in minutes.

We are required to find the depth of the submarine at t=5 minutes. Substituting t=5 into the function model:

d = -370 + 15(5)

d = -370 + 75

d = -295 feet

The depth of the submarine was 295 feet

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An Easter basket contains eggs of three different colors. Find the total number of eggs in the basket if 2 7 of all eggs are gre

sashaice [31]

Answer:

56 eggs

Step-by-step explanation:

If $\frac{2}{7}$ of all eggs are green, $\frac{1}{4}$ of all are blue, then

$1-\dfrac{2}{7}-\dfrac{1}{4}=\dfrac{28-2\cdot 4-7}{28}=\dfrac{13}{28}$

of all eggs are red.

We know that there are 26 red eggs

$26\text{ eggs }-\dfrac{13}{28}\\ \\x\text{ eggs }- 1[=\dfrac{28}{28}]$

Make a proportion

$\dfrac{26}{x}=\dfrac{\frac{13}{28}}{1}\\ \\26\cdot 1=x\cdot \dfrac{13}{28}\ [\text{Cross multiply}]\\ \\13x=26\cdot 28\ [\text{Multiply by 28 to get rid of fraction}]\\ \\x=\dfrac{26\cdot 28}{13}\ [\text{Divide by 13 to get x}]\\ \\x=2\cdot 28\\ \\x=56$

4 0

4 years ago

BRAINLYEST

iVinArrow [24]

Given:

The data set is

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17, 35

To find:

Effect on mean, median, range after removing the outlier, 35.

Solution:

We have, the data set

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17, 35

$\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}$

$\text{Mean}=\dfrac{10+10+11+12+13+13+13+14+14+15+15+15+16+17+17+17+35}{17}$

$\text{Mean}=\dfrac{257}{17}$

$\text{Mean}=15.117647$

$\text{Mean}\approx 15.12$

Mean of the data set is 15.12.

$Median=\dfrac{n+1}{2}\text{th term}$ because n=17, which is odd.

$Median=\dfrac{17+1}{2}\text{th term}$

$Median=\dfrac{18}{2}\text{th term}$

$Median=9\text{th term}$

$Median=14$

Median is 14.

$Range=Maximum-Minimum$

$Range=35-10$

$Range=25$

Range is 25.

After removing the outlier, 35, the data set is

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17

$\text{Mean}=\dfrac{10+10+11+12+13+13+13+14+14+15+15+15+16+17+17+17}{16}$

$\text{Mean}=\dfrac{222}{16}$

$\text{Mean}=13.875$

Mean of the new data set is 13.875, which is less than 15.12.

$Median=\dfrac{\dfrac{n}{2}\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}$ because n=16, which is even.

$Median=\dfrac{\dfrac{16}{2}\text{th term}+(\dfrac{16}{2}+1)\text{th term}}{2}$

$Median=\dfrac{8\text{th term}+9\text{th term}}{2}$

$Median=\dfrac{14+14}{2}$

$Median=\dfrac{28}{2}$

$Median=14$

New median is 14, which is same as original median.

$Range=17-10$

$Range=7$

So, the new range is 7 which is less than 25.

Therefore, the mean of the data set will decrease, the median of the data set will not change, the Range of the data set will decrease.

5 0

3 years ago

Read 2 more answers

Find the geometric mean of the pair of numbers. 96 and 6

sineoko [7]

Id multiply the numbers and take the square root X2=96×6=576→X=576−−−√→X=24Hence Geometric mean of the given numbers is 24.

6 0

4 years ago

Read 2 more answers

19. Michelle and Mike are both dog sitters. Michelle charges $2 per day plus a sign-up fee of

user100 [1]

Answer:

See below

Step-by-step explanation:

Michelle

y = 3+2x

Mike

y = 3x

8 0

3 years ago

I need help 2t<-4 or 7t>49

grin007 [14]

2t<-4 divide both sides by 2

t<-2

...

7t>49 divide both sides by 7

t>7

So t=(-oo,-2) and t=(7,+oo)

t=(-oo,-2)U(7,+oo)

8 0

3 years ago