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3 years ago

-3 > x - 13 who knows this question.

1 answer:

3 0

Solving inequality equations is pretty much the same as solving regular equations. What you do to one side, you have to do to both sides. Also, you are trying to get the variable(s) alone on one side of the inequality sign.

So, to solve, first you would add 13 to both sides to solidify the variable, resulting in the equation

10>x, which is your answer.

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a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor

xenn [34]

Answer:

The required probability is $\dfrac{13}{50}$

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle $\times$ Probability of selecting a lemon bottle out of water bottles.

Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle $\times$ Probability of selecting a lemon bottle out of tea bottles.

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Probability of selecting a water bottle:

$\dfrac{30}{50} = \dfrac{3}{5}$

Probability of selecting a lemon flavored bottle from water bottle:

$\dfrac{8}{30}$

Probability of selecting a lemon flavored water bottle = P(A)

$\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}$

Probability of selecting a tea bottle:

$\dfrac{20}{50} = \dfrac{2}{5}$

Probability of selecting a lemon flavored bottle from tea bottle:

$\dfrac{5}{20} = \dfrac{1}{4}$

Probability of selecting a lemon flavored tea bottle = P(B)

$\dfrac{2}{5} \times \dfrac{1}{4} = \dfrac{1}{10}$

The required probability is:

P(A) + P(B):

$\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}$

8 0

4 years ago

Ryan called each school in the district to determine whether or not they have a recycling program. What is true about Ryan’s dat

AlekseyPX

A.) Ryan conducted a survey where he asked about qualitative data

8 0

3 years ago

Read 2 more answers

The table shows the different packs of sports cards available for purchase. What is the smallest number of baseball and football

WARRIOR [948]

The least common multiple would be 280 cards of each.

20 Packs of football, 8 packs of Hockey, and 7 packs of Baseball.

5 0

3 years ago

Read 2 more answers

How does a digit in the ten thousands place compare to a digit in the thousands place?

svetlana [45]

The digits in the ten-thousands place is 10,000 times the value of a digit, right? For example, 10,000 is 10,000 times 1, and one is a mere digit. The thousands place follows the same rule, with 1,000 being 1,000 times 1. Ergo, when compared, you could think of it as 10,000/1,000 = 10. We can think of this as a digit in the ten-thousands place is 10 times the value of the same digit in the thousands place.

8 0

4 years ago

Please help whats a,h,k??

harina [27]

9514 1404 393

Answer:

a = -2, h = 2, k = 1

Step-by-step explanation:

Compare the expressions. Match one pattern to the other.

$f(x)=-2|x-2|+1\\\\f(x)=\ \,\,a|x-h|+k \qquad\ a=-2,\ h=2,\ k=1$

The transformations are ...

Translation by (h, k) = (2, 1). That is, 2 units right and 1 unit up.

Vertical scaling by "a", which is (i) reflection over the x-axis (because a < 0), and (ii) expansion by a factor of 2.

A table and graph are shown in the attachment.

5 0

3 years ago