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SpyIntel [72]
3 years ago
14

Write the following sentence using mathematical symbols the sum of 7 and x is -13

Mathematics
1 answer:
Dominik [7]3 years ago
6 0
7 + x = -13 would be the equation.
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The Apple, Inc. sales manager for the Chicago West Suburban region is disturbed about the large number of complaints her office
ankoles [38]

Answer:

0.6856

Step-by-step explanation:

\text{The missing part of the question states that we should Note: that  N(108,20) model to } \\ \\  \text{ } \text{approximate the distribution of weekly complaints).]}

Now; assuming X = no of complaints received in a week

Required:

To find P(77 < X < 120)

Using a Gaussian Normal Distribution (\mu =108, \sigma = 20)

Using Z scores:

Z = \dfrac{77-108}{20} \\\\ Z = -\dfrac{35}{20} \\ \\  Z  -1.75

As a result  X = 77 for N(108,20) is approximately equal to  to Z = -1.75 for N(0,1)

SO;

Z = \dfrac{120-108}{20} \\ \\  Z = \dfrac{12}{20}\\ \\  Z = 0.6

Here; X = 77 for a N(108,20) is same to Z = 0.6 for N(0,1)

Now, to determine:

P(-1.75 < Z < 0.6) = P(Z < 0.6) - P( Z < - 1.75)

From the standard normal Z-table:

P(-1.75 < Z < 0.6) = 0.7257 - 0.0401

P(-1.75 < Z < 0.6) = 0.6856

3 0
2 years ago
during a softball game kay hit a fly ball the function f(x) = -16t^2 + 64t + 4 describes the height of the softball in feet. mak
STatiana [176]
<h2>Hello!</h2>

The graph is attached.

To graph a parabola we need to know the following:

- If the parabola is open upwards or downwards

- They axis intercepts (if they exist)

- The vertex position (point)

We are given the function:

f(t)=-16t^{2}+64t+4

Where,

a=-16\\b=64\\c=4

For this case, the coefficient of the quadratic term (a) is negative, it means that the parabola opens downwards.

Finding the axis interception points:

Making the function equal to 0, we can find the x-axis (t) intercepts, but since the equation is a function of the time, we will only consider the positive values, so:

f(t)=-16t^{2}+64t+4\\0=-16t^{2}+64t+4\\-16t^{2}+64t+4=0

Using the quadratic equation:

\frac{-b+-\sqrt{b^{2}-4ac } }{2a}=\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}\\\\\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}=\frac{-64+-\sqrt{4096+256} }{-32}\\\\\frac{-64+-\sqrt{4096+256} }{-32}=\frac{-64+-(65.96) }{-32}\\\\t1=\frac{-64+(65.96) }{-32}=-0.06\\\\t2=\frac{-64-(65.96) }{-32}=4.0615

So, at t=4.0615 the height of the softball will be 0.

Since we will work only with positive values of "x", since we are working with a function of time:

Let's start from "t" equals to 0 to "t" equals to 4.0615.

So, evaluating we have:

f(0)=-16(0)^{2}+64(0)+4=4\\\\f(1)=-16(1)^{2}+64(1)+4=52\\\\f(2)=-16(2)^{2}+64(2)+4=68\\\\f(3)=-16(3)^{2}+64(3)+4=52\\\\f(4.061)=-16(4.0615)^{2}+64(4.0615)+4=0.0034=0

Finally, we can conclude that:

- The softball reach its maximum height at t equals to 2. (68 feet)

- The softball hits the ground at t equals to 4.0615 (0 feet)

- At t equals to 0, the height of the softball is equal to 4 feet.

See the attached image for the graphic.

Have a nice day!

3 0
3 years ago
The difference of x and 4, cubed, times 6
Yanka [14]
<h2>Answer:</h2>

<u>The answer is </u><u>6x³ - 72x² +288 -384</u>

<h2></h2>

5 0
3 years ago
Read 2 more answers
Ax + By = C represent the lineAn egg is dropped straight down from a diving board whose end is 7 ft from the edge of the pool, w
Katen [24]

Answer:

  A = 1, B = 0, C = 7

Step-by-step explanation:

The egg follows the path x = 7, so the equation is ...

  1x +0y = 7

A = 1, B = 0, C = 7

6 0
2 years ago
Read 2 more answers
If 8 chairs cost $1,064 what is the cost of 11 chairs​
evablogger [386]
1463 (1064 divided by 8= 133, 133x11)
6 0
3 years ago
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