What is the answer to (-3x) + x

a taste test asks people from Texas and California which pasta they prefer, brand A or brand B. this table shows the results

ELEN [110]

Answer:

D.

Step-by-step explanation:

Two events A and B are independent when

$P(A|B)=P(A),$

where $P(A|B)$ is the probability that event A occurs given that event B has occured.

A = randomly selected person is from California

B = randomly selected person preferred brand A

A|B = being a person from California and preferring brand A.

Hence,

$P(A)=\dfrac{150}{275}=\dfrac{6}{11}\approx 0.55\\ \\P(B)=\dfrac{176}{275}=\dfrac{16}{25}=0.64\\ \\P(A|B)=\dfrac{96}{176}=\dfrac{6}{11}\approx 0.55$

Since $P(A)=P(A|B),$ events are independent.

4 0

2 years ago

Read 2 more answers

PLZ HELP ON SCALE FACTOR

docker41 [41]

Your answer would be C-64.

Hope this helps.

3 0

3 years ago

Read 2 more answers

The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A

Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

$V = a \times b \times c \: \rm unit^3$

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

$60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12$

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

$15 \times 3 \times b \times 3 \times c = 135 \times b\times c = 135 \times 12 = 1620 \: \rm cm^3$

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

5 0

2 years ago

Describe the process you would use to find the solution to the problem 3 1/4 1 1/3− . Express your answer numerically and with a

oksian1 [2.3K]

3 1/4-11/3
31/4 simplifies to 13/4
So you now have 13/4-11/3
Which is -5/12
your final answer is -5/12

7 0

2 years ago

Write expression using a single exponent.<br> (2^4)^2)^5

marusya05 [52]

$\left(\left(2^4\right)^2\right)^5=\\
\left(2^{4\cdot2}\right)^5=\\
2^{4\cdot2\cdot5}=\\
2^{40}$

5 0

3 years ago