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erastovalidia [21]

3 years ago

10

A sapling grew 8 1/2 inches one year 10 3/4 inches the second year and 9 3/4 inches the third year how much did it grow during t

he three years?

1 answer:

victus00 [196]3 years ago

6 0

8 1/2 = 8.5
10 3/4 = 10.75
9 3/4 = 9.75

8.5 + 10.75 + 9.75 = 29 inches in total <==

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The sum of 10 and Hector's age is 69 . Use the variable H to represent Hector's age.

mamaluj [8]

Answer:

59? Is it H = 59?

6 0

3 years ago

The Venn diagram shows the results of two events resulting from rolling a number cube.

gulaghasi [49]

Answer: $P(A\cap B)=\frac{1}{3}$

$P(A)=\frac{1}{3}$

$P(B)=1$

$P(A|B)=\frac{1}{3}$

Step-by-step explanation:

From the given figure it can be seen that

Total number on cube= n(S)=6

Intersection of A and B = n(A ∩ B)= 2

Therefore,

$P(A\cap B)=\frac{n(A\cap B)}{n(s)}=\frac{2}{6}=\frac{1}{3}$

Also, The number of elements in A = 2

Therefore,

$P(A)=\frac{n(A)}{n(s)}=\frac{2}{6}=\frac{1}{3}$

Similarly, The number of elements in B= 6

Therefore,

$P(B)=\frac{n(B)}{n(s)}=\frac{6}{6}=1$

The formula to find the conditional probability is given by :-

$P(A|B)=\frac{P(A\cap B)}{P(B)}\\\\\Rightarrow P(A|B)=\frac{\frac{1}{3}}{1}=\frac{1}{3}$

4 0

4 years ago

Read 2 more answers

How to solve this question

VMariaS [17]

<span>The variance method is as follows.

-Sum the squares of the values in data set, and then divide by the number of values in data set
- From that, subtract the square of the mean (add all values and divide by number of values in the data set)

Our variance is

<span> $\displaystyle\sigma^2 = \frac{2^2 + 5^2 + m^2}{3} - \left(\frac{2 + 5 + m}{3}\right)^2$

Since variance has to be 14, we set $\sigma^2 = 14$ and solve for m

$14= \frac{4 + 25 + m^2}{3} - \left(\frac{7 + m}{3}\right)^2\ \Rightarrow \\ \\
14 = \frac{29}{3} + \frac{1}{3}m^2 - \frac{1}{9}(7+m)^2 \\ \\
14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{1}{9}(49 + 14m + m^2) \\ \\
14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{49}{9}- \frac{14}{9}m- \frac{1}{9}m^2 \\ \\
0 = \frac{-88}{9} -\frac{14}{9}m + \frac{2}{9}m^2
$

quadratic formula

$m = \displaystyle\frac{-b \pm \sqrt{b^2 -4ac}}{2a} \\
m = \frac{-(-\frac{14}{9}) \pm \sqrt{\left(-\frac{14}{9}\right)^2 - 4(2/9)(-88/9)} }{2(2/9)} \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{196}{81} + \frac{704}{81} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{900}{81} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{100}{9} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \frac{10}{3} }{\frac{4}{9} } \\
m = 11, -4$

-4 doesnt' work as it is not a positive integer

m = 11

</span></span>

5 0

3 years ago

Solve the given equation. ( 1/5 )( 4/7 )x = 32/490 (x is and exponent) x= _____

Vikki [24]

X= 4/7 because it would be

4/35x=16/245

which would be 28x=16

simplified it would be 4/7

5 0

4 years ago

Upon hitting a bat, a baseball has a change in momentum of 16.5 kg-ms. What is the average

olya-2409 [2.1K]

Answer:

The average force applied to the baseball is 8.25kN

Step-by-step explanation:

This problem bothers on the impulse of a force

We know that the change in momentum is expressed as

Ft= mv-mu

Given

Ft=16.5 kg-ms

Time t of impact =0.00200s

The force applied can be solved for

By making F subject of formula

F= (mv-mu)/t

F=16.5/0.002

F= 8250N

F= 8.25kN

4 0

3 years ago