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Alja [10]
2 years ago
12

You are checking the intermediate results of a phone app that calculates the weight of an object in kilograms given the weight i

n pounds. The particular calculation you are checking, shown below, is for an input weight of 142 pounds and outputs 29.3 kilograms. What is the first step that has an error, and why is it an error?

Mathematics
1 answer:
Illusion [34]2 years ago
4 0

The wrong step is step 4, because you only need one conversion.

The formula to convers pounds to kilograms is

\text{weight in pounds} = 2.2 \times \text{weight in kilograms}

Obviously, the inverse formula is

\text{weight in kilograms} = \cfrac{\text{weight in pounds}}{2.2}

So, you're given an input of 142 pounds. To convert it in kilograms, plug that value into out formula:

\text{weight in kilograms} = \cfrac{142}{2.2} \approx 64.5

and this is the answer you're looking for, so you need no more steps.

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Alex can ski 960 meters in 5 minutes. If his skiing speed is increased by 20 m/min, how many meters can he cover in 10 minutes?
pychu [463]
First let's find out how much he can ski per minute without his increase in speed.
To find speed we will have to divide distance by time.
960÷5=232
So his speed is 232 meters per second.
Now to this as add 20.
232+20=252
Then to find out how far he will go in 10 minutes,we will just have to multiply 252 by 10
252×10=2520
So your answer will be that Alex will go 2520 meters in 10 minutes.
3 0
2 years ago
Read 2 more answers
Researchers are studying populations of two squirrels, the eastern gray and the western gray. For the eastern gray squirrel, abo
Tresset [83]

Answer:

p₁  -  p₂  = ( -0,28 . 0 )

Step-by-step explanation:

Eastern gray squirrel

Sample size    n₁  = 60

p₁  =  22 %        p₁  = 0,22       then     q₁  = 1 - 0,22      q₁ = 0,88

Western gray squirrel

Sample size  n₂  =  120

p₂ = 36%     p₂ = 0,36     Then    q₂  =  1  - 0,36     q₂  =  0,64

p (s)  = ( p₁ - p₂ ) /√ (p₁*q₁ ) / n₁   +  (p₂*q₂/ n₂)

p(s)  = ( 0,22 -  0,36 ) /√ (0,22*0,88)/60  +  ( 0,36*0,64)/120

p(s)  =  -0,14 /0,071

p(s) = - 1,9718

Then

CI = (  p₁ - p₂ ) ± p(s) *EED

EED =  /√ (p₁*q₁ ) / n₁   +  (p₂*q₂/ n₂)   = 0,071

CI = (  - 0,14  ±  1,9718 * 0,071 )

CI =  ( - 0,14  ±  0,14 )

CI =  ( - 0,28 ;  0 )

we will find with 95% of confidence the mean of the sampling distribution of the difference in sample proportion in the interval  ( -0,28 , 0 )

p₁  -  p₂  = ( -0,28 . 0 )

6 0
2 years ago
Four friends each ordered individual pizzas at a restaurant. Suzy ate 3/8 of her pizza. Ethan ate 3/5 of his pizza. Tenaya ate 4
Kay [80]

Answer:

Ethan and Tenaya ate more than half of their pizza.

Sam and Suzy ate less than half of their pizza.

Step-by-step explanation:

We have been given that each of the four friends ordered individual pizzas. They ate some part of the pizzas and we have to find who ate more than half of their pizza? Less than half?

Suzy ate 3/8 of her pizza. It means she ate 0.375 of her pizza which is less than half.

Ethan ate 3/5 of his pizza. It means he ate 0.6 of his pizza which is greater than half.

Tenaya ate 4/6 of her pizza. It means she ate 0.67 of his pizza which is greater than half.

Sam ate 1/3 oh his pizza. It means he ate 0.3 of his pizza which is less than half.

Hence, we can conclude that

Ethan and Tenaya ate more than half of their pizza.

Sam and Suzy ate less than half of their pizza.



7 0
2 years ago
The curvature of the Tacoma Narrows Bridge in
8_murik_8 [283]

Answer:

Width of the arch = 105 m

Step-by-step explanation:

Function representing the width of the arch,

f(x) = -0.016(x - 52.5)² + 45

where x = width of the base of the arch or horizontal distance from arch's left end

f(x) = vertical distance of the arch

From the given quadratic function, vertex of the parabola is (52.5, 45).

Coordinates of the vertex represents,

Height of the arch = 45 m

Half of the horizontal distance from the left end = 52.5 m

Therefore, width of the bridge = 2(Half the width of the bridge from left end) = 2×52.5

= 105 m

Therefore, given bridge is 105 m wide.

4 0
2 years ago
Renting a truck costs $55.00 per day and $0.38 per mile when the driver goes beyond the 40 free miles allotted. How much would S
solmaris [256]
Well we need to multiply 55 by 2 because of the 2 days of renting. 55 * 2 = 110. Now we need to subtract 40 from 94 to find how many miles Samantha drove over 40. So 94 - 40 = 54. Now we need to multiply 54 by 0.38 to get the cost Samantha has to pay. 54 * 0.38 = 20.52. Finally we need to add the cost of 2 days of renting to the cost of the additional miles. 110 + 20.52 = 130.52. The total that Samantha has to pay for the truck is $130.52
I hope this was helpful and if so, please leave a good rating and thanks and maybe even brainliest answer. Thank you I really appreciate it. Have a nice day!
4 0
2 years ago
Read 2 more answers
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