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3 years ago

I need help ASAP like I might actually fail

Mathematics

1 answer:

natulia [17]3 years ago

8 0

2x + 7 ≤ 3x - 5

Start by keeping the variable x on the left side of the inequality, and move everything else to the right side.

We can do this by subtracting 3x from both sides and subtracting 7 from both sides.

-x ≤ -12

Divide both sides by -1 to make x a positive; when dividing by a negative number you will flip the inequality sign, so ≤ becomes ≥.

x ≥ 12

Possible solutions for x are any number equal to or greater than 12.

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Sam is using the expression 8mn in class. What is the value of the expression when m = 4 a n d n = 12 ?

goldfiish [28.3K]

Answer:

8 x 4 x 12 = 384

Step-by-step explanation:

8 x 4 x 12 = 384

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3 years ago

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Find the lateral area of the prism. 27 sq. ft. 36 sq. ft. 54 sq. ft. Find the total area of the prism. T.A.= Find the volume.

Yakvenalex [24]

The volume would be 54 sq. f.

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Find the exponential function that passes through the points (2,80) and (5,5120)

juin [17]

Answer:

y = 5·4^x

Step-by-step explanation:

If you have two points, (x1, y1) and (x2, y2), whose relationship can be described by the exponential function ...

y = a·b^x

you can find the values of 'a' and 'b' as follows.

Substitute the given points:

y1 = a·b^(x1)

y2 = a·b^(x1)

Divide the second equation by the first:

y2/y1 = ((ab^(x2))/(ab^(x1)) = b^(x2 -x1)

Take the inverse power (root):

(y2/y1)^(1/(x2 -x1) = b

Use this value of 'b' to find 'a'. Here, we have solved the first equation for 'a'.

a = y1/(b^(x1))

In summary:

b = (y2/y1)^(1/(x2 -x1))
a = y1·b^(-x1)

For the problem at hand, (x1, y1) = (2, 80) and (x2, y2) = (5, 5120).

b = (5120/80)^(1/(5-2)) = ∛64 = 4

a = 80·4^(-2) = 80/16 = 5

The exponential function is ...

y = 5·4^x

3 0

3 years ago

An elevator is on the twentieth floor. It goes down 11 floors and then up 5 floors. What floor is the elevator now

Llana [10]

To solve problems like this, we must simply break it down and read each part carefully. We can also set it up as a math problem to make it easier to visualize.

The elevator starts on the twentieth floor, so we will represent that with 20.

20

It goes down 11 floors, so we can represent that with a -11.

20-11=9

Now we are on floor 9. Then, we go up 5 floors, so we can represent that with a 5.

9+5=14

Using the math above, we can see the elevator is on the 14th floor.

6 0

3 years ago

In a quality control test of parts manufactured at Dabco Corporation, an engineer sampled parts produced on the first, second, a

sammy [17]

Answer:

p value = 0.0174

Conclusion : we reject the null hypothesis

Step-by-step explanation:

Thinking step:

We need to perform a test to determine if the proportion of the good parts is the same for all three shifts at a significance level of $\alpha = 0.05$

Assumption : all the population for each or the three shifts is not equal.

Calculation:

Let p₁ be the sample of the first shift

p₂ be the sample of the second shift

p₃ be the sample of the third shift

According to the null hypothesis

H₀ = p₁ = p₂ = p₃

In other words, all the population sample proportions are equal.

Alternatively, we can assume that the three shift are not equal p₁ ≠ p₂ ≠ p₃

Tabulating and performing the $\chi$ ² test gives 8.10

degrees of freedom:

df = k - 1

= 3 - 1 = 2

Thus the degree of freedom is 2

Solving using the MINITAB software gives: p = 0.174

The solution shows that the p value < level of significance, then p-value lies in the range 0.0174≤ $\alpha$ ≤0.05

Therefore, we reject the null hypothesis based on the fact that the three shifts are not equal.

5 0

3 years ago