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3 years ago

X+y=9 in Standard Form, please

1 answer:

4 0

Some people would say that this is already in standard form. But you could move the 9 to the left side, obtaining 1x + 1y - 9 = 0. This resembles
Ax + By + C = 0 (standard form)

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The package of a particular brand of rubber band says that the bands can hold a weight of 7 lbs. Suppose that we suspect this mi

Nadusha1986 [10]

Answer:

The statement is True.

Step-by-step explanation:

In this case we need to determine whether the rubber bands in a package of a particular brand of rubber band can hold a weight of 7 lbs or less.

A one-sample test can be used to perform the analysis.

The hypothesis can be defined as follows:

H₀: The mean weight the rubber bands can hold is 7 lbs, i.e. μ = 7.

Hₐ: The mean weight the rubber bands can hold is less than 7 lbs, i.e. μ < 7.

The information provided is:

$n=36\\\bar x=6.6\ \text{lbs}\\\sigma=2\ \text{lbs}$

As the population standard deviation is provided, we will use a z-test for single mean.

Compute the test statistic value as follows:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{6.6-7}{2/\sqrt{36}}=-1.20$

The test statistic value is -1.20.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

Compute the p-value for the two-tailed test as follows:

$p-value=P(Z$

*Use a z-table for the probability.

The p-value of the test is 0.1151.

The p-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.

Thus, it can be concluded that the mean weight the rubber bands can hold is 7 lbs.

Hence, the statement is True.

7 0

3 years ago

Consuela earns a salary of $40,000 per year plus a commission of $1,000 dollars for each cars she sells. Write and solve and equ

vagabundo [1.1K]

1,000c + 40,000 = 60,000

solve:
c = 20 cars

6 0

4 years ago

7-18=______+______=______

ra1l [238]

7-18= a negative number. We know that it'll equal a negative number because the minued(7) is less than the subtrahend(18), which results in a negative number (if both are positive).

We can make an addition problem from this. We can have 18 turn negative and 7 stay positive, and we'll get the same answer.

7+-18=7-18

7-18=7+-18=11

8 0

3 years ago

You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 1536cm3. Deter

Katen [24]

Answer:

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

Step-by-step explanation:

The volume of the box can be calculated with this formula:

The volume of the box = area of square base X height of the box.

We are given that the length of one side of the square base is = x cm, and its height is h cm.

Area of square base = $x^{2}cm^{2}$

The surface area of the box will be minimized if the height of the box, is the same as its length. hence, we can take the height of the box to be x cm also.

In this case, the volume of the box will be $x^{3}=1536cm^{3}$

from this, $x =3\sqrt{1536}= 11.53cm$

There fore, the box has its length, height, and width all having the same values.

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

8 0

4 years ago

-9 + 10 over 4 equals negative 7

umka21 [38]

-9 + 10 over 4 = -7

1/4 = -7

1/4 does not equal -7

7 0

3 years ago