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eduard
3 years ago
13

Enter and solve a polynomial equation for the situation described.

Mathematics
1 answer:
klasskru [66]3 years ago
7 0

Height = x (This is given)

Length = 5x

Width = 6x

Volume = length × width × height

The equation will be: (5x)(6x)(x) = 1920

simplify:

30x² × (x) = 1920

30x³ = 1920

Divide both sides by 30

x³= 64

x = ∛64

x= 4

If x = height, then, the height is 4cm

5x = length

20cm = length

6x = width

24cm = width


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If you get a sneak peak at the salary list of your job and realize you are in the lowest bracket, which is the lowest 1%, what i
hoa [83]

Answer:

z=-2.33

And if we solve for a we got

a=48000 -2.33*5500=35185

And for this case the answer would be 35185 the lowest 1% for the salary

Step-by-step explanation:

Let X the random variable that represent the salary, and for this case we can assume that the distribution for X is given by:

X \sim N(48000,5500)  

Where \mu=48000 and \sigma=5500

And we want to find a value a, such that we satisfy this condition:

P(X>a)=0.99   (a)

P(X   (b)

We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.01 of the area on the left and 0.99 of the area on the right it's z=-2.33. On this case P(Z<-2.33)=0.01 and P(z>-2.33)=0.99

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-2.33

And if we solve for a we got

a=48000 -2.33*5500=35185

And for this case the answer would be 35185 the lowest 1% for the salary

7 0
3 years ago
Contains the x intercept of 4x-y=8 and the point (-4,3)
nydimaria [60]
<span>1.       </span><span>4x –y = 8, the point (-4, 3)
Let’s say y = 0
=> 4x – 8
=> 4x / 4 = 8 /4
=> x = 2
So the point is (2 , 0).
Now, we have 2 forms, the (2,0) and the (-4, 3)
=> (y2 – y1)(x2 – x1) = m
=> m = (0 - 3)(2-(-4))
=> m = (0 - 3)(2+4)
=>  m = (-3)(6)
=> m = -1/2
Thus,
y = -1/2x + a
=> 0 = -1 + a so a = 1
y = -x/2 + 1</span>



7 0
3 years ago
Read 2 more answers
Can someone solve number 6, and show your work plz
Romashka [77]

Answer:

<em>3.9 kg</em>

Step-by-step explanation:

total mass = (number of nails) * (mass of one nail)

total mass = 750 * 5.2 * 10^(-3) kg

total mass = 750 * 5.2 * 10^(-3) kg

total mass = 750 * 0.0052 kg

total mass = 3.9 kg

6 0
3 years ago
Solve the equation<br> 5x + 8 - 3x = -10<br><br> OX= -9<br> O x = -1<br> ON=1<br> O X = 9
Leokris [45]

Answer:

its OX= -9

Step-by-step explanation:

6 0
3 years ago
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Find the standard deviation of 21, 31, 26, 24, 28, 26
Vesnalui [34]

Given the dataset

x = \{21,\ 31,\ 26,\ 24,\ 28,\ 26\}

We start by computing the average:

\overline{x} = \dfrac{21+31+26+24+28+26}{6}=\dfrac{156}{6}=26

We compute the difference bewteen each element and the average:

x-\overline{x} = \{-6,\ 5,\ 0,\ -2,\ 2,\ 0\}

We square those differences:

(x-\overline{x})^2 = \{36,\ 25,\ 0,\ 4,\ 4,\ 0\}

And take the average of those squared differences: we sum them

\displaystyle \sum_{i=1}^n (x-\overline{x})^2=36+25+4+4+0+0=69

And we divide by the number of elements:

\displaystyle \sigma^2=\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n} = \dfrac{69}{6} = 11.5

Finally, we take the square root of this quantity and we have the standard deviation:

\displaystyle\sigma = \sqrt{\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n}} = \sqrt{11.5}\approx 3.39

8 0
3 years ago
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