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2 years ago

6

A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply th

e page number by 3 and add 1. She discovers this pattern:
Which would best complete the pattern?
A. 4 x 3 = 12, 4 + 12 = 16, 16
B. 4 x 3 = 12, 12 + 1 = 13, 13
C. 4 x 3 = 12, 12 = 3, 3
D. 4 + 3 = 7, 7 x 3 = 21, 21

1 answer:

Eddi Din [679]2 years ago

5 0

Answer:

B

Step-by-step explanation:

B is the only choice that has both all of the steps, and all of the steps in the right order.

You might be interested in

If a basket of goods and services used to calculate CPI contains 2 pairs of socks at $2 each and 1 pair of shoes at $50, what wi

Svetach [21]

Answer:

B. 55.10

Step-by-step explanation:

Given:

1 pair of Shoes for 1st year = $50

2 pair of Sock for 1st year = $2 each = 2 $\times$ 2= $4

$\therefore$ CPI for year 1 = Price of shoes for 1st year + Price of Sock for 1st year= $50 + $4 = $54

Now

1 pair of Shoes for 2nd year = $51

2 pair of Sock for 2nd year = $2.05 each = 2 $\times$ 2.05 =$4.10

$\therefore$ CPI for Year 2 = Price of shoes for 2nd year + Price of Sock for 2nd year= $51 + $4.1 = $55.10

Hence CPI for Year 2 is $55.10

7 0

3 years ago

Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos

crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c) $P(X = 2)$ is unusual, $P(X = 0)$ is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

A number of sucesses $x$ is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

Two cans are randomly chosen, so $n = 2$

Two out of 18 cans are filled with diet coke, so $\pi = \frac{2}{18} = 0.11$

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121$

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921$

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that $P(X = 2)$ is unusual, since $P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05$

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958$

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0

3 years ago

Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)

Mnenie [13.5K]

One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
$(x-h)^2+(y-k)^2=r^2$
the center is (h,k) and the radius is r

and the distance formula is
distance between $(x_1,y_1)$ and $(x_2,y_2)$ is
$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle

so
$(x+2)^2+(y-3)^2=18$
$(x-(-2))^2+(y-3)^2=(\sqrt{18})^2$
$(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2$

the radius is $3\sqrt{2}$
center is (-2,3)

find distance between (8,4) and (-2,3)

$D=\sqrt{(8-(-2))^2+(4-3)^2}$
$D=\sqrt{(8+2)^2+(1)^2}$
$D=\sqrt{10^2+1}$
$D=\sqrt{100+1}$
$D=\sqrt{101}$

$r=3\sqrt{2}$ ≈4.2
$D=\sqrt{101}$ ≈10.04

do r<D

(8,4) is outside the circle

6 0

3 years ago

Which three steps are correct when solving this quadratic equation by completing the square?

guajiro [1.7K]

Answer:

<em><u>E</u></em>

Step-by-step explanation:

transferring the constant

making the coefficient of x^2 to be 1

then add the square of half the coefficient of x

take the square root of both sides

5 0

3 years ago

How would i find h please help!!

antiseptic1488 [7]

Answer:

35

Step-by-step explanation:

So the triangle who posses the angle with measurement k=35 is an isosceles. I know this because there are two congruent legs. Those 2 congruent legs tell us the angles opposite of them are all congruent.

So we know one equation to solve is:

x+x+35=180 where x is the base angle in the left triangle picture.

Combine like terms:

2x+35=180

Subtract 35 on both sides:

2x=180-35

Simplify:

2x=145

Divide both sides by 2:

x=72.5

So one of the base angles of the left isosceles triangle is vertical with with another angle in the right. This triangle on the right is also isosceles.

So we know that 72.5+72.5+h=180.

Combine like terms:

145+h=180

Subtract 145 on both sides:

h=180-145

Simplify:

h=35

8 0

3 years ago