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VikaD [51]
3 years ago
11

A toaster has 4 slots for bread once the toaster is warmed up, it takes 35 seconds to make 4 slices of toast, 70 seconds to make

8 slices and 105 seconds to make 12 slices how long do you think it will take to make 20 slices
Mathematics
1 answer:
Ilya [14]3 years ago
4 0

Answer: It will take 175 seconds

Step-by-step explanation:

Let us try to take out the important information in the question:-

*** The toaster takes 35 seconds to make 4 slices of toast.

*** It takes 70 seconds to make 8 slices of toast

*** It also takes 105 seconds to make 12 slices.

*** We are required to calculate how long it may probably take the toaster to make 20 slices.

Since it takes the toaster 35 seconds to make 4 slices of toast and 70 seconds to make 8 slices, we can compare and predict the amount of time a certain number of slices can possibly be made:-

4 slices were made in 35 seconds, 8 slices were made in 70 seconds and 12 slices were made in 105 seconds.

A critical examination reveals that an average of 4 slices was processed or made in about 35 seconds. For every 35 more seconds, the toaster was able to make 4 more slices. We'll then calculate the time it takes the toaster to make 1 slice:

4 slices ---------- 35 seconds

1 slice ----------- ? seconds

1/4 × 35

= 35/4 seconds

Now, if 1 slice will be made in 35/4 seconds,

20 slices will be made in:

1 slice --------- 35/4 seconds

20 slices ------ ? seconds

(20/1) × 35/4

= 175 seconds

It will take the toaster about 175 seconds to make 20 slices.

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Marco created a table to help him represent the sample space of spinning a spinner and flipping a coin. Result of spin Result of
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3 years ago
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A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so
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Answer: (0.132132, 0.274368)

Step-by-step explanation:

Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

i.e. n= 123

\hat{p}=\dfrac{25}{123}\approx0.203252

Critical value for 95% confidence interval : z_{\alpha/2}=1.96

Confidence interval for population :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}

0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

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14. Find the distance between (7,217pi/180 ) and (5,-23pi/36 ) on the polar plane.
irina [24]

Answer: the distance is  3.49 units

Step-by-step explanation:

There are some ways to find the exact distance, i will calculate the distance in rectangular coordinates.

When we have a point (R, θ) in polar coordinates, we can transform it into rectangular coordinates as:

x = R*cos(θ)

y = R*sin(θ)

Then we have:

(7,217pi/180 )

R = 7

θ = (217/180)*pi

x = 7*cos( (217/180)*pi) = -5.59

y = 7*sin( (217/180)*pi) = -4.21

So this point is (-5.59, -4.21) in rectangular coordinates.

And the other point is  (5,-23pi/36 )

R = 5

θ = -(23/36)*pi

x = 5*cos(  -(23/36)*pi ) = -2.11

y = 5*sin(  -(23/36)*pi ) = -4.53

So this point is (-2.11, - 4.53)

Then the point distance between those points is:

D = I (-2.11, -4.53) - (-5.59, -4.21) I

D = I (-2.11 + 5.59, -4.53 + 4.21) I

D = I (3.48, -0.32) I = √( (3.48)^2 + (-0.32)^2) =  3.49

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3 years ago
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