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anastassius [24]

3 years ago

5

a motorboat can maintain a constant speed of 29 miles per hour relative to the water. the boat makes a trip upstream to a certai

n point in 31 minutes; the return trip takes 27 mintues. what is the speed of the current?

1 answer:

Paul [167]3 years ago

7 0

x ~ 2.3 mph is the current

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There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What

antiseptic1488 [7]

Answer:

There are 28 fruits in each pile.

Step-by-step explanation:

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.

Consider the diophantine equation:

$63x + 7 = 23y\\63x-23y = -7$

We obtain the greatest common divisor of (63,-23).

The greatest common divisor f 63 and -23 is 1.

Therefore, there exist $\alpha,\beta$ such that

$-23\alpha+63\beta=1$

By applying extended Euclidean Algorithm, we have,

$1 = (1\times 6)+(-1\times 5)\\1 = (1\times 17)+(3\times 6)\\1 = (3\times 23)+(-4\times 17)\\1 = (-4\times 40)+(7\times 23)\\1 = (7\times 63)+(-11\times 40)\\1 = (-11\times -23)+(-4\times 63)$

$1 = (-11\times -23) + (-4\times 63)$

Multiplying -7 on both sides, we get,

$-7 = (77\times -23) + 28\times 63)$

Thus, we get,

$x = 28\\y=77$

Thus, there are 28 fruits in each pile.

7 0

3 years ago

What are the zeros of the function below? Check all that apply.

geniusboy [140]

Pretty sure it’s D and F because if you set (x-4)=0, x is 4 and if you set (x+7)=0, x is -7

3 0

3 years ago

Read 2 more answers

Please find the fully simplified intercept form!!!! Will mark Brianliest !!!!!!!!!!!

photoshop1234 [79]

Answer:

y = -1/3x - 8

Step-by-step explanation:

<u>Slope intercept form:</u>

y = mx + b

<u>Use two points from the graph:</u>

(0, -8) and (3, -9)

<u>The first point is the y-intercept: </u>

b = -8

<u>Find the slope using the slope formula:</u>

m = (y2 - y1)/(x2 - x1)
m = (-9 - (-8))/3 = -1/3

<u>The equation is:</u>

y = -1/3x - 8

7 0

3 years ago

A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno

Reika [66]

Answer:

The 90th percentile of the distribution is 6.512 ml.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.

This means that $\mu = 6, \sigma = 0.4$

Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.

This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{X - 6}{0.4}$

$X - 6 = 1.28*0.4$

$X = 6.512$

The 90th percentile of the distribution is 6.512 ml.

3 0

3 years ago

A store is having a sale on almonds and jelly beans. For 2 pounds of almonds and 5 pounds of jelly beans, the total cost is $17

Mariulka [41]

I think it would be $16 :)

4 0

3 years ago