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2 years ago

50 POINTSS MORE !!!!!

Mathematics

1 answer:

Andreas93 [3]2 years ago

6 0

The time it will take for the block of ice to melt if the temperature is 45 degrees is 3 hours.

The cost to travel 22 miles is 55 dollars.

let

time it takes for ice to melt = x

air temperature = y

Therefore,

x ∝ 1 / y

x = k / y

when x = 2.5 hours and y = 54 degrees

Hence,

k = 2.5 × 54

k = 135

The time it will take for the block to melt at 45 degrees = 135 / 45 = 3 hours

<h3>How to find equation that relates the cost to the number of miles?</h3>

It costs $35 for a ride from the city centre to the airport, 14 miles away.

where

c = cost

m = number of miles

Therefore, the equation is as follows:

35 / 14 = 2.5

c = 2.5m

Hence, when you travel 22 miles,

c = 22(2.5)

c = 55 dollars

learn more on equation here: brainly.com/question/22737982

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Suppose that you collect data for 15 samples of 30 units each, and find that on average, 2.5 percent of the products are defecti

Korvikt [17]

Answer:

The UCL is $UCL = 0.054$

The LCL is $LCL \approx 0$

Step-by-step explanation:

From the question we are told that

The quantity of each sample is n = 30

The average of defective products is $p = 0.025$

Now the upper control limit [UCL] is mathematically represented as

$UCL = p + 3 \sqrt{\frac{p(1-p)}{n} }$

substituting values

$UCL = 0.025 + 3 \sqrt{\frac{0.025 (1-0.025)}{30} }$

$UCL = 0.054$

The upper control limit (LCL) is mathematically represented as

$LCL = p - 3 \sqrt{\frac{p(1-p)}{n} }$

substituting values

$LCL = 0.025 - 3 \sqrt{\frac{0.025 (1-0.025)}{30} }$

$LCL = -0.004$

$LCL \approx 0$

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3 years ago

What is the probability that she gets exactly 4 or exactly 5 questions right?

lions [1.4K]

Probability that the questions are answered corectly1/4 = 0.25
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3 years ago

Someone help me with this

puteri [66]

Answer:

A) t = 1 second to reach the highest point

B) h = 96 feet

C) t = 3.449 seconds to hit the ground

Step-by-step explanation:

We notice that the equation that describes the position of the object in terms of the time, is a parabola (quadratic) with negative leading coefficient. therefore this is a parabola with arms pointing down, and with vertex at the top. It is at that top vertex that the maximum altitude of the object is reached.

We need therefore to find the position of the vertex (time "t" is the horizontal coordinate and height "h" is the vertical coordinate).

We know that the vertex (maximum of a parabola of this type - normally described by $y=ax^2+bx+c$ ) is given by $x_{vertex} = -\frac{b}{2*a}$ . Therefore in our case, understanding that time "t" is equivalent to the variable "x", and eight "h" is equivalent to the variable "y", that "-16" is $a$ , and "32" is $b$ , we have that the maximum occurs for:

$t_{max}=-\frac{32}{2*(-16)} = \frac{-32}{-32} = 1$

which means at one second from the launching.

We then can find the answer to part B by replacing t with "1" second in the formula for the height "h":

$h(1)=-16*(1)^2+32(1)+80=-16+32+80=96$

That is : a height of 96 feet.

To find the answer for part C: the time to hit the ground, we solve for the variable "t" in the given expression for the height, by setting the height to zero (object touching the ground) and using the quadratic formula:

$0=-16t^2+32t+80\\t=\frac{-32+/-\sqrt{32^2-4*(-16)*80} }{2*(-16)} \\ t=\frac{-32+/-\sqrt{6144} }{-32}$

which gives us two solutions: t = -1.449 seconds, and t = 3.449 seconds

Since the negative time does not have physical meaning in our case (time before the object was launched), we adopt the second answer: t = 3.449 seconds

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