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3 years ago

14

How much of a radioactive kind of francium will be left after 10 minutes if the half-life is 5 minutes and you start with 96 gra

ms?

1 answer:

trapecia [35]3 years ago

6 0

Answer:

24

Step-by-step explanation:

96/2=48/2=24

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The table gives the relative frequencies of recipes that contains sugar and salt, contain at least one of those ingredients, or

tigry1 [53]

<u>Answer-</u>

<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>

<u>Solution-</u>

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

$P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}$

$P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}$

$P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67$

Putting these values,

$P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%$

5 0

3 years ago

Number greater than 543,000 but less than 544,ooo

nikdorinn [45]

543,000.1
543,000.2
any decimal

4 0

3 years ago

Read 2 more answers

Brainliest if Correct!! Help QUICK....

Sloan [31]

Replace x with the x value solve to get the y value.

see attached picture for answers.

6 0

2 years ago

Please help... How many odd perfect squares are between 5 and 211?

frez [133]

Answer:

we conclude that the total number of perfect odd squares between 5 and 211 will be: 6

Step-by-step explanation:

Let us check by taking squares

3² = 9

5² = 25

7² = 49

9² = 81

11² = 121

13² = 169

As taking 14² = 256 would exceed 211, and 1² = 1 is smaller than 5.

Therefore, we conclude that the total number of perfect odd squares between 5 and 211 will be: 6

8 0

3 years ago

A building is 2ft from a 10ft fence that surrounds the property. A worker wants to wash a window that is 14ft from the ground. H

Ronch [10]

Height of fence = 10 feet

Height of point where window needs to be washed = 14 feet

Distance between fence and building = 2 feet

Distance between fence and ladder = 10 feet

⇒ Distance between building and ladder = Distance between fence and building + Distance between fence and ladder

⇒ Distance between building and ladder = 2 + 10 feet

⇒ Distance between building and ladder = 12 feet

Now to determine the length of the ladder that goes over the fence, we can use the Pythagoras theorem, where perpendicular is represented by the height of the building, and base is represented by distance between the building and the ladder, and the length of the ladder represents the hypotenuse

So by Pythagoras theorem:

H² = P² + B²

⇒ Length of the Ladder² = Height of the Building² + Distance between Ladder and Building²

⇒ Length of the Ladder² = 14² + 12²

⇒ Length of the Ladder² = 196 + 144

⇒ Length of the Ladder² = 340

⇒ Length of the Ladder = √340

⇒ Length of the Ladder = 18.439..

⇒ Length of the Ladder = 18.4

Hence, the length of the ladder should be 18.4 feet

8 0

3 years ago