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choli [55]
3 years ago
8

Jorge needs a string that is 4 feet long. so far his string is 44 inches. is it long enough or does he need to make it longer

Mathematics
1 answer:
mr Goodwill [35]3 years ago
3 0
There are 12 inches in a foot. If he needs 4 feet, and 4 times 12 equals 48, then he needs 4 more inches.
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Find the x-intercept for the equation :. 7x - 2y = 14​
Masja [62]

Answer:

2

Step-by-step explanation:

<em>Hey there!</em>

<em />

Well the x intercept is the point the line touches the x-axis.

And to find it we need to graph the given equation.

7x - 2y = 14​

Look at the image below ↓

By looking at the given image we can tell that the x-intercept is 2.

<em>Hope this helps :)</em>

5 0
3 years ago
The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.
Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}

The probability for exponential distribution is given as:

P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}

a) P( time between the next two calls will be 54 seconds or​ less)

P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

b) P(time between the next two calls will be greater than 118.5 ​seconds)

p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

6 0
3 years ago
Question 2 <br><br> help pls its hard i forgt how to do it
Arada [10]

Answer: 52

Step-by-step explanation:

a^2+b^2=c^2

x is the hypotenuse (c). You can find the hypotenuse by finding the opposite of the right angle

48^2+20^2=2304+400=2704

√2704=52

x=52

3 0
1 year ago
What is the slope of the line passing through the points (-3,4) and (4,-1)
Serhud [2]

Answer:

slope = - \frac{5}{7}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

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m = \frac{-1-4}{4+3} = - \frac{5}{7}

8 0
3 years ago
The rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point B, parallel to the front fac
kodGreya [7K]

The dimensions of the rectangular cross section will be<u> 10 centimeters by 18 centimeters</u>

<u></u>

Step-by-step explanation:

As ,we know

<u>The rectangular cross section is parallel to the front face</u>

Which clearly states that

The dimensions of the rectangular  cross section is congruent with the dimensions of the front face

Lets assume that  dimensions of the front face are 10 centimeters by 18 centimeters

<u>Then ,The dimensions of the cross section will also be  10 centimeters by 18 centimeters</u>

<u></u>

<u>Hence we can say that the</u> dimensions of the rectangular cross section will be<u> 10 centimeters by 18 centimeters</u>

4 0
3 years ago
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