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2 years ago

6

consider the cube shown below identify the two dimensioal shape of the cross section if the cube is sliced horizontally

1 answer:

AnnyKZ [126]2 years ago

4 0

Wassup bro how you doing

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d1i1m1o1n [39]

Step-by-step explanation:

$x^{2} - 4x - 7 = 0$

First, let's move the $7$ to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:

$x^{2} - 4x = 7$

From here, since the coefficient of the $x$ term is $-4$ , we know the square will be $(x - 2)$ (since $-2$ it's half of $-4$ ).

To complete this square, we will need to add $(-2)^{2}$ to both sides of the equation:

$x^{2} - 4x + (-2)^2 = 7 + ^{-2}$

$x^{2} - 4x + 4 = 7 + 4$

$(x - 2)^{2} = 11$

Now we can take the square root of both sides to figure out the solutions to $x$ :

$x - 2 = \pm \sqrt{11}$

$x = 2 \pm \sqrt{11}$

7 0

3 years ago

Work out the volume of a cuboid 2cm by 4cm by 5cm

andrew-mc [135]

For a cuboid's volume you simply go length x width x heigth so 2x4x5 so it's 40.

3 0

3 years ago

Read 2 more answers

tara paints 12 wall in 4 hour. she has 3 wall left to paint how long do you think that it will take her to paint the 3 remaining

Pavel [41]

12 divided by 4 equals to 3
she paints 3 wall per hour

the answer is : the remaining wall will take her 1 hour to paint

5 0

2 years ago

Read 2 more answers

Which pair of functions are inverses of each other? A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x and g(x) = {\left( {\frac{x}{6}} \righ

Simora [160]

Answer:

the answer is B

Step-by-step explanation:

6 0

2 years ago

A consulting firm had predicted that 35% of the employees at a large firm would take advantage of a new company Credit Union, bu

m_a_m_a [10]

Answer:

a) 0.4770

b) 3.9945

c) z-statistics seem a large value

Step-by-step explanation:

<u>a. Find the standard deviation of the sample proportion based on the null hypothesis</u>

Based on the null hypothesis:

$p_{0}$ : 0.35

and the standard deviation σ = $\sqrt{p_{0} *(1-p_{0}) }$ = $\sqrt{0.35 *0.65 }$ ≈0.4770

<u>b. Find the z statistic</u>

z-statistic is calculated as follows:

z= $\frac{X-p_{o} }{\frac{s}{\sqrt{N} } }$ where

X is the proportion of employees in the survey who take advantage of the Credit Union ( $\frac{138}{300}=0.46$ )
$p_{0}$ is the proportion in null hypothesis (0.35)
s is the standard deviation (0.4770)
N is the sample size (300)

putting the numbers in the formula:

z= $\frac{0.46-0.35} }{\frac{0.4770}{\sqrt{300} } }$ = 3.9945

<u>c. Does the z statistic seem like a particularly large or small value?</u>

z-statistics seem a large value, which will cause us to reject the null hypothesis.

4 0

3 years ago