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Masteriza [31]
2 years ago
12

Now Cathy is three times as old as Katie. In six years Cathy will be only twice as old as Katie. How old is each girl now?

Mathematics
1 answer:
BabaBlast [244]2 years ago
6 0
Katie is 6; Cathy is 18!

X- Katie’s age now and 3x -Cathys age now
In 6 years, Katie is 12 and Cathy is 24.

2 x (X+6) = 3x + 6
2x + 12 = 3x + 6
6 = x
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What is the volume, in cubic in, of a cylinder with a height of 12in and a base radius of 6in, to the nearest tenths place?
Shtirlitz [24]

Answer:

1356.5 cubic inches

Step-by-step explanation:

Given information:

Height of the cylinder = 12 in.

Radius of base of the cylinder = 6 in.

We need to find volume of the cylinder.

Volume of cylinder:

V=\pi r^2h

where, r is the radius of base and h is height of the cylinder.

Substitute the given values in the above formula.

V=\pi (6)^2(12)

V=(3.14)(36)(12)            [\because \pi=3.14]

V=1356.48

Approx to nearest tenth.

V\approx 1356.5

Therefore, the volume of cylinder is 1356.5 cubic inches.

8 0
2 years ago
Determine whether the dilation from the figure on the left to the figure on the right is an enlargement or a reduction. Then fin
dybincka [34]

Answer:

A.

Step-by-step explanation:

we are going from a large shape to a smaller shape. the proof is that the side lengths go down from 7m to 0.5m. so, it is a reduction.

and the scaling factor s ? what do we need to multiply the original side lengths with to get the new ones ?

7 × s = 0.5 = 1/2

s = (1/2)/7 = (1/2)/(7/1) = (1×1)/(2×7) = 1/14

=> answer A is correct

8 0
2 years ago
It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested i
lidiya [134]

Answer:

Step-by-step explanation:

We are given that 30% of California residents have adequate earthquake supplies.

a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance

B) x can take value 1 ,2 ,3 ......

C)The distribution of random variable is geometric distribution with parameter p=0.3

The pmf of geometric distribution is

P(X=x)=0.3(1-0.3)^{x-1} , x=1,2,3...

D)P(X=1) or P(X=2)=P(X=1)+P(X=2)

P(X=1) or P(X=2)=0.3(1-0.3)^{1-1}+0.3(1-0.3)^{2-1}=0.51

E)

P(X \geq 3)=1-P(X

F)

E(X)=\frac{1}{p}

p is the resident who does not have adequate earthquake supplies.

p = 1-0.3 = 0.7

E(X)=\frac{1}{0.7}=1.42

G)E(X)=\frac{1}{q}=\frac{1}{0.3}=3.33

8 0
2 years ago
The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation. This
Naddika [18.5K]

Answer:

  • $43.20
  • $1416.67

Step-by-step explanation:

Let the money earned during fundraising activities =x

Since the World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation.

The amount of money the foundation will receive

=60% of x

= 0.6x

In the bake sale, the club raised $72.

Therefore, the amount the foundation will receive =0.6*72=$43.20

At the end of the year, the World Issues Club mailed a cheque to the foundation for $850.

Therefore:

0.6x=850

x=850/0.6

x=$1416.67

The total amount of money the club raised is $1416.67.

5 0
2 years ago
The histogram shows a city’s daily high temperatures recorded for four weeks. A graph shows temperature (degrees Fahrenheit) the
n200080 [17]

Answer:

b. left- skewed

Step-by-step explanation:

edge 2020

5 0
2 years ago
Read 2 more answers
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