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3 years ago

5

Makayla wants to buy a carton of juice. She could buy a 48-ounce container for $2.88 or a 64-ounce container for $3.52. What is

the cost per ounce of the juice in the 48-ounce container?

1 answer:

Sav [38]3 years ago

6 0

Answer:

.06 per ounce

Step-by-step explanation:

2.88/48= .06

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The conditional relative frequency table was calculated by row using data from a survey of one station’s television programming.

masya89 [10]

<u>Answer-</u>

<em>The correct option would be-</em>

<em>Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.</em>

<u>Solution-</u>

We know that, probability of A given that B is,

$P(A|B)=\dfrac{P(A\ \cup\ B)}{P(B)}$

From the table,

$P(\text{Recorded})=0.417\\\\P(\text{Adult}) = 1\\\\P(\text{Recorded}\ |\ \text{Adult})=0.375$

<u>Probability that the program was recorded given that the targeted audiences were adults is,</u>

$P(\text{Recorded}\ |\ \text{Adult})=\dfrac{P(\text{Recorded}\ \cup\ \text{Adult})}{P(\text{Adult})}$

$\dfrac{0.375}{1}=0.375=37.5\%$

<u>Probability that the targeted audiences were adults given that the program was recorded is,</u>

$P(\text{Adult}\ |\ \text{Recorded})=\dfrac{P(\text{Adult}\ \cup\ \text{Recorded})}{P(\text{Recorded})}$

$\dfrac{0.375}{0.417}=0.899=89.9\%$

Therefore, the first option "Given that the program was targeted at adults, there is a 37.5% chance that it was recorded." is correct

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3 years ago

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A rectangle has vertices at these coordinates.

GalinKa [24]

It would be (4, 5) because add the 2nd and third than you get (4, 5)

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Find slope intercept form of 5x+8y=120 passing through (4,5)

yarga [219]

Answer:

$y=-(5/8)x+(15/2)$ or $y=-0.625x+7.5$

Step-by-step explanation:

The question is

Find the slope intercept form of the line parallel to the line 5x+8y=120 passing through (4,5)

step 1

Find the slope of the given line

we have

$5x+8y=120$

isolate the variable y

$8y=-5x+120$

$y=-(5/8)x+15$

The slope of the given line is m=-5/8

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

so

The slope of the parallel line to given line is m=-5/8

step 3

Find the equation of the line into slope intercept form

The equation of the line into slope intercept form is equal to

$y=mx+b$

we have

m=-5/8 and point (4,5)

substitute and solve for b

$5=-(5/8)(4)+b$

$b=5+(20/8)$

$b=60/8=15/2=7.5$

substitute

$y=-(5/8)x+(15/2)$

or

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Answer:

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The linearization of a curve implies the use of calculus to find the local value for the derivative and approximating the function by the use of the formula

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The function is given in such way that it's much easier to find the derivative by implicit differentiation than isolating any of the variables

$2x^2y+y=2x+13$

Differentiating with respect to x, we have

$4xy+2x^2y'+y'=2$

Computing y' in the given point (3,1) we have

4(3)(1)+2(9)y'+y'=2

$y'=\frac{2-12}{19}$

$y'=-\frac{10}{19}$

The function will be approximated with the expression

$F(x) = 1 -\frac{10}{19}(x-3)$

To find the approximate value for x=2.8

$F(2.8) = 1-\frac{10}{19}(-0.2)=1.1$

The correct value is the option 1.1

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Answer:

4+ $\frac{1}{2}$ x = 3

Step-by-step explanation:

4 + $\frac{1}{2}$ x = 3 (subtract 4 from both sides)

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