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Anna [14]
3 years ago
11

What are the intercepts of -4x 6y-5z=60

Mathematics
1 answer:
algol [13]3 years ago
6 0
X intercept is when y and z=0
yinter cept is when x and z =0
zintercept is when x and y =0

set to zero and solve

xint
-4x+6(0)-5(0)=60
-4x=60
divide -4
x=-15
xint is (-15,0,0)

ying
-4(0)+6y-5(0)=60
6y=60
divide by 6
y=10
yint is (0,10,0)

zint
-4(0)+6(0)-5z=60
-5z=60
divide by -5
z=-12
zint is (0,0,-12)




xint is (-15,0,0)
yint is (0,10,0)
zint is (0,0,-12)
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Can you do this because it is confusing to me
erica [24]

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder is 1330.4644 cm³.

<h3>What is a cylinder?</h3>

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

Given the height of the cylinder is 14 cm, while the diameter of the cylinder is 11 cm. Therefore, the volume of the cylinder can be written as,

The volume of the cylinder = (π/4)×(D²) × H

                                               = (π/4)×(11)² × 14

                                               = 1330.5 cm³

Hence, the volume of the cylinder is 1330.5cm³.

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3 0
2 years ago
Identify the coefficient(s) in the algebraic expression shown below.
stich3 [128]

Answer:

3) 6 and 1

Step-by-step explanation:

A coefficient is always the number that is in the same term as the variable, and a variable always has a 1 in front of it

4 0
3 years ago
In 2018, Gretal earned $32 000.
Aleonysh [2.5K]

Answer:

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3 years ago
Read 2 more answers
A high school runs a survey asking students if they participate in sports. The results are found below. Run an independence test
Sveta_85 [38]

Answer:

It can be concluded that participation in sports is dependent on grade level.

Step-by-step explanation:

In this case a Chi-square independence test for the data is to be performed at <em>α </em>= 0.01.

The hypothesis can be defined as follows:

H₀: The participation in sports is independent of grade level.

<em>Hₐ</em>: The participation in sports is dependent of grade level.

The data provided is:

            Freshmen      Sophomores       Juniors         Seniors

Yes            75                       88                   55                42

No             30                      28                   38                 40

The formula to compute the expected frequencies is:

E_{i}=\frac{i^{th}\ \text{Row Total}\ \times\ i^{th}\ \text{Column Total}}{N}

The Chi-square statistic is:

\chi^{2}=\sum {\frac{(O_{i}-E_{i})^{2}}{E_{i}}}

Consider the Excel file attached below.

The value of Chi-square statistic is 16.244.

The degrees of freedom of the test are:

\text{df}=(r-1)(c-1)

    =(4-1)(2-1)\\=3\times 1\\=3

Compute the <em>p</em>-value of the test as follows:

p-value=P(\chi^{2}_{df}

                =P(\chi^{2}_{3}

*Use a Chi-square table.

<em>p</em>-value = 0.001 < <em>α</em> = 0.01

The null hypothesis will be rejected at 1% level of significance.

Thus, it can be concluded that participation in sports is dependent on grade level.

4 0
4 years ago
X + 3 = y,
Anna007 [38]
3. X= y-3



You subtract 3 to the other side to make X the subject of the formula.
4 0
3 years ago
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