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2 years ago

A farmer has 5 cartons of eggs for sale. Each carton contains 12 eggs.

Mathematics

1 answer:

MariettaO [177]2 years ago

4 0

Answer:

10 eggs

Step-by-step explanation:

5 cartons multiplied by 12 eggs each equals 60 eggs in total.

Therefore 5/6 would be equal to 50/60 since we multiply the denominator and numerator by 10

As a result 10 of the eggs are not brown

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A university is applying classification methods in order to identify alumni who may be interested in donating money. The univers

gtnhenbr [62]

Answer:

Accuracy = 0.81

Sensitivity = 0.93

Specificity = 0.81

Precision = 0.047

Step-by-step explanation:

Given the confusion matrix :

Actual_______ Donation___ No Donation

Donation______ 268 (TP) _______ 20 (FN)

No Donation ___5375 (FP) _____23439 (TN)

Accuracy is calculated as :

(TP + TN) / (TP+TN+FP+FN)

(268 + 23439) / (268 + 23439 + 5375 + 20)

ACCURACY = (23707 / 29102) = 0.81

Sensitivity (True positive rate) :

TP ÷ (TP + FN)

268 ÷ (268 + 20)

268 ÷ 288 = 0.93

Specificity (True Negative rate) :

TN ÷ (TN + FP)

23439 ÷ (23439 + 5375)

23439 ÷ 28814

= 0.81

Precision :

TP ÷ (TP + FP)

268 ÷ (268 + 5375)

268 ÷ 5643

= 0.047

4 0

2 years ago

Canteen A, canteen B and Canteen C repeat their lunch means every 12 days, 8days and 10 days respectively. All three canteens se

Katyanochek1 [597]

Answer:

120 days

Step-by-step explanation:

Canteen A = 12 days

Canteen B = 8 days

Canteen C = 10 days

How many days later will all three canteen serving noodles soup again?

To find the number of days all 3 canteens will serve food again, find the lowest common multiples of all 3 canteens

Canteen A = 12 days

34, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144

Canteen B = 8 days

16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120

Canteen C = 10 days

20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130

The lowest common multiple of 12 days, 8 days and 10 days is 120 days

The next day all 3 canteens will serve soup together again is the next 120 days

3 0

2 years ago

Every weekday, Mr. Jones bikes from his home to his job. Sometimes he rides along two roads, the long route that is shown by the

notka56 [123]

Answer:

(A)6 kilometers

Step-by-step explanation:

First, we determine the value of a using Pythagoras Theorem.

$Hypotenuse^2=Opposite^2+Adjacent^2\\17^2=a^2+15^2\\a^2=17^2-15^2\\a^2=289-225\\a^2=64\\a^2=8^2\\a=8$ km$

Therefore:

Distance along the long route = 8 + 15 =23 km

Distance along the shortcut =17 km

Difference =23-17 =6km

Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.

5 0

2 years ago

Read 2 more answers

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software,

grandymaker [24]

Solution:

There is no saddle point (DNE). However, there is local maximum at (1, 1/2) for the given function.

Explanation:

we have function of two variables f(x,y)= 9-2x+4y-x^2-4y^2

we will find the values by partial derivative with respect to x,y,xy

$f_{x}$ = -2 -2x

$f_{y}$ = 4 -8y

to find the saddle point we should first find the critical points so equate

-2 -2x=0 and 4 -8y=0

we get x= 1 and y =1/2 so, critical points are (1,1/2)

to find local maximum or minimum we have to find $f_{xx}$ , $f_{yy}$ and $f_{xy}$

formula is $f_{xx}$ * $f_{yy}$ - $f^{2_{xy} }$ =0

$f_{xx}$ = -2

$f_{yy}$ = -8

$f^{2_{xy} }$ =0

putting values in formula

(-2)*(-8) -0 =16 > 0, and $f_{xx}$ < 0 and $f_{yy}$ <0

so, here we have local maximum

we have no saddle point for this function by using the same formula we used to find extrema.

4 0

2 years ago

Read 2 more answers

Darcy ordered 18 boxes of red balloons and 12 boxes of blue balloons for a party.She ordered a total of 240 balloons. How many b

olga2289 [7]

Answer: 8 balloons per box
8x18 + 8x12 = 144+96 = 240

8 0

2 years ago