Let x be a multiple of 3

If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the tot

aev [14]

Answer:

The expression that is equivalent to the given expression is:

5x+60

Step-by-step explanation:

It is given that:

if you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows.

so, let x be the initial number of marshmallows in each bag and now 12 are added to each bag this means that the number of marshmallows in each bag is:

x+12

Hence, total number of marshmallows in 5 bags is:

5(x+12)=5×x+5×12

5(x+12)=5x+60

Hence, the answer is:

5x+60

8 0

3 years ago

Put the following equation of a line into slope-intercept form, simplifying all fractions. 5x+6y=42

Sever21 [200]

Answer:

$y=-\frac{5}{6} + 7$

Step-by-step explanation:

Slope-intercept formula requires us to isolate the y variable. We can do this in just a couple of steps.

1) Move 5x from the left to the right side by subtracting 5x from both sides. This cancels out the 5x on the left side, and remember, what we do to one side we must do to the other to keep the equation balanced.

$6y=-5x+42$

2) Divide both sides by 6. Again, we are cancelling out the 6 on the left but we must also divide on the right. This would mean dividing -5 and 42 by 6 to get:

$y=-\frac{5}{6} + 7$

4 0

1 year ago

What is midpoint 85 90?

monitta

The midpoint of 85 and 90 is 87

8 0

3 years ago

3c - b = 2a solve for c

alekssr [168]

Answer:

$c = \frac{2a + b}{3}$

Step-by-step explanation:

$3c - b = 2a \\ 3c = 2a + b \\ \frac{3c}{3} = \frac{2a + b}{3} \\ c = \frac{2a + b}{3}$

hope this helps you

let me know if you have another questions:-)

5 0

2 years ago

Read 2 more answers

An automobile manufacturer is considering using robots for part of its assembly process. Converting to robots is an expensive pr

LenKa [72]

Answer:

(a) The correct option is: H₀: p = 0.02 vs. Hₐ: p < 0.02.

(b) Explained below.

(c) The better value of α will be 0.10.

Step-by-step explanation:

An automobile manufacturer is considering using robots for part of its assembly process only if there is strong evidence that the proportion of defective installations is less for the robots than for human assemblers.

To test whether the proportion of defective installations is less for the robots than for human assemblers use a single-proportion z-test.

(a)

The hypothesis can be defined as:

H₀: The proportion of defective installations is same for both the robots and human assemblers, i.e. p = 0.02.

Hₐ: The proportion of defective installations is less for the robots than for human assemblers, i.e. p < 0.02.

The alternate hypothesis is the claim or the statement that is being tested.

In this case we need to test whether the proportion of defective installations is less for the robots than for human assemblers or not, so that the manufacturer can decide whether they want to apply the conversion.

Thus, the correct option is:

H₀: p = 0.02 vs. Hₐ: p < 0.02.

(b)

A type I error occurs when we discard a true null hypothesis and a type II error is made when we fail to discard a false null hypothesis.

In this case a type I error will be committed if conclude that the proportion of defective installations is less for the robots than for human assemblers when in fact it is not.

And a type II error will be committed if we fail to conclude that proportion of defective installations is less for the robots than for human assemblers.

(c)

The power of the test is the probability of rejecting a false null hypothesis.

The power of the test sis affected by the significance level of the test (α).

Lesser the significance level of the test the lesser is the power of the test.

If the value of α is reduced from 0.05 to 0.01 then the region of acceptance will increase. This implies that there is low probability of rejecting the null hypothesis even when it is false.

So higher the value of α the higher is the probability of making a correct decision.

Thus, the better value of α will be 0.10.

3 0

3 years ago