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melomori [17]
1 year ago
10

Question 3 1 Marge is making a chocolate cake to surprise the best nend. She needs 3 1/2cups of four but she only has 1/3cup. Ho

w much more flour does she need?
Mathematics
1 answer:
AfilCa [17]1 year ago
7 0

Answer:

19/6 cups

Explanation:

First, we need to transform the mixed number into a fraction as:

3\frac{1}{2}=\frac{3\cdot2+1}{2}=\frac{7}{2}

Now, we need to subtract 1/3 from 7/2, so:

\frac{7}{2}-\frac{1}{3}=\frac{7\cdot3-2\cdot1}{2\cdot3}=\frac{21-2}{6}=\frac{19}{6}

Therefore, she needs 19/6 cups more

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In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad
zysi [14]

Answer:  a) 0.0792   b) 0.264

Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

Given : Probability that families own a dog : P(D)=0.36

Probability that families own a dog also own a cat : P(C|D)=0.22

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
Lin runs 5 laps around a track in ten minutes how many laps per minute
eimsori [14]
2 minutes per lap. I think
6 0
3 years ago
If the altitude is √7, find the volume. 36√7 cu. units 18√7 cu. units 12√7 cu. units
rosijanka [135]

Answer:

Volume = 12\sqrt{7} cubic units

Step-by-step explanation:

Volume of the square pyramid is given as ⅓*area of base*height of pyramid.

Where,

Area of base = 6*6 = 36

Height of pyramid = altitude = \sqrt{7} units

Plug the values into the formula to find volume.

Volume = \frac{1}{3}*36*\sqrt{7}

Volume = 12*\sqrt{7}

Volume = 12\sqrt{7} cubic units

8 0
3 years ago
No clue on this need help please
maria [59]
It would be 10x5 + 3x8= 74 
5 0
3 years ago
Read 2 more answers
Point A is at (3, 2.5) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is ____. Input numbe
andriy [413]
The points have the same x-coordinate, so they lie on a horizontal line. The distance between them is the difference between their y-coordinates.

2.5 - 1.4 = 1.1

The distance between the two points is 1.1
5 0
2 years ago
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