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Mathematics

1 answer:

MAXImum [283]2 years ago

7 0

Answer:

answer is cm² ok

Step-by-step explanation:

because it is saying area ,in area we have to put cm2

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Evaluate 2^-4 pleaseee help asap

Alexxandr [17]

Answer:

1/16

Step-by-step explanation:

2^-4

We know that a^ -b = 1/ a^b

2^-4 = 1/2^4

2^4 =16

so 1/2^4 = 1/16

5 0

3 years ago

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Natalie picked 135 berries in 15 minutes. If she continues picking at that rate, how long will it take her to pick 486 berries?

nikklg [1K]

We can use proportion to solve it
$135 berries -------------15min$
$486 berrier --------------x$
Our x is equal to = $x= \frac{486*15}{135} =54$ min
Its our result

4 0

3 years ago

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A soft-drink machine can be regulated so that it discharges an average of μ oz. per cup. If the ounces of fill are Normally dist

sattari [20]

Answer:

μ = 5.068 oz

Step-by-step explanation:

Normal distribution formula to use the table attached

Z = (x - μ)/σ

where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.

98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].

From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives

Z = (x - μ)/σ

2.33 = (6 - μ)/0.4

μ = 6 - 2.33*0.4

μ = 5.068

This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.