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zmey [24]
3 years ago
5

Please math , help

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Answer:

As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.

Step-by-step explanation:

Mean of the batch:

The mean of the batch is the sum of all values divided by the number of items. So

M = \frac{199+204+201+197+195+204+200}{7} = 200

Mean in the desired interval.

Standard deviation:

Square root of the sum of the difference squared between each term and the mean, divided by the number of items. So

S = \sqrt{\frac{(199-200)^2+(204-200)^2+(201-200)^2+(197-200)^2+(195-200)^2+(204-200)^2+(200-200)^2}{7}} = 1.18

As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.

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Can someone help me round these two numbers? I completely forgot how ‍
tigry1 [53]

Answer:

Step-by-step explanation:

If you are rounding to nearest tenth

2.6  1.9

Nearest hundredth

2.6   1.87

If the number to the right of the one you want to round is 5 or above, you go up a number. If it's below, you go down 1.

Hope this helps.

5 0
3 years ago
Kyle has five tires but only uses four at a time on his car. He has rotated the five tires on his car so that each tire has been
Ad libitum [116K]

Answer:

72000 miles.

Step-by-step explanation:

Because we know each tire has been on the car for the same number of miles which means 1 tire can travel :4/5*90000 = 72000 miles.

3 0
3 years ago
Christopher’s backyard is shaped like a rectangle with a length of 2x + 5 feet and a width of 4x - 7 feet.
Doss [256]

Answer:

8x² + 6x - 35

Step-by-step explanation:

A = (2x + 5)(4x - 7)

Front: 2x * 4x = <em>8x²</em>

Outside: 2x * (-7) = <em>-14x</em>

Inside: 5 * 4x = <em>20x</em>

Last: 5 * -7 = <em>-35</em>

Add up: <em>8x² - 14x + 20x -35</em>

Simplify: 8x² + 6x - 35

8 0
3 years ago
Airline fares for a flight from Dallas to Austin are $30 for first class and $25 for tourist class. If a flight had 52 passenger
posledela

There were 40 tourist class passengers and 12 first class passengers.  

Explanation:

Let the number of passengers who booked for tourist class be

=

x

Then, number of passengers who booked for first class

=

52

−

x

According to question,

Total money paid = $25(tourist class)+$30(first class)  

$

1360

=

$

25

(

x

)

+

$

30

(

52

−

x

)

1360

=

25

x

+

1560

−

30

x

1360

−

1560

=

25

x

−

30

x

−

200

=

−

5

x

x

=

−

200

−

5

x

=

40

So, there were 40 tourist class passengers.

Now first class passengers

=

52

−

x

=

52

−

40

=

12

∴

There were 40 tourist class passengers and 12 first class passengers.  

As a check

Total money paid = $25(tourist class)+$30(first class)  

R

H

S

=

$

25

(

40

)

+

$

30

(

12

)

$

1000

+

$

360

=

$

1360

L

H

S

=

$

1360

Hence verified.

8 0
3 years ago
Write an equation of the line that passes through the given points.
garik1379 [7]

Answer:

y=-2x+1

Step-by-step explanation:

to find the slope use the formula (y2-y1)/(x2-x1)

-5-3= -8

3-(-1) = 4

-8/4 = -2

8 0
3 years ago
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