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sweet [91]
3 years ago
7

Solve for b:4 = -2/3(5) + b

Mathematics
1 answer:
saveliy_v [14]3 years ago
4 0

Answer:

\frac{22}{3} = b

or

7\frac{1}{3} = b

(they are the same value, just different ways of writing it)

Step-by-step explanation:

4 = -\frac{2}{3} (5) + b

simplify

4 = -\frac{10}{3} + b

now use inverse operations

4 = -\frac{10}{3} + b

+\frac{10}{3}  +\frac{10}{3}

\frac{22}{3} = b

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A train to New York city leaves a station every 7 minutes. Another train to Boston leaves the station every 6 minutes. Suppose i
Virty [35]

Answer:

7:12 a.m

Step-by-step explanation:

Given that:

Train to New York city leaves station every 7 minutes

Train to Boston leaves station every 6 minutes

Current time = 6:30 a.m

Time both will leave station together is obtained by finding the least common multiple of 6 and 7

Multiples of ;

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...

7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,...

The least common multiple of 6 and 7 is 42.

Hence, both trains will leave the station together after 42 minutes ;

Current time + 42 minutes

6:30 a.m+ 42 minutes = 7:12 a.m

7 0
3 years ago
A.(2,1)
Alex17521 [72]

Answer:

  D(6, 3)

Step-by-step explanation:

The diagonals of a rectangle bisect each other, so the midpoint of AC is the same as the midpoint of BD. This means ...

  (A +C)/2 = (B +D)/2 . . . . the midpoints are the same

  A +C = B +D . . . . . . . . . multiply by 2

  D = A +C -B = (2+5-2, 1+5-3) . . . . . solve for D, substitute given coordinates

  D = (6, 3)

4 0
3 years ago
An industrial psychologist consulting with a chain of music stores knows that the average number of complaints management receiv
vova2212 [387]

Answer: See explanation

Step-by-step explanation:

1. Use the five steps of hypothesis testing.

Step 1: The aim of the research is to conduct the five steps of hypothesis testing.

Step 2:

Null hypothesis: H0 u= 4

Population mean: H1 u = 4

Alternate hypothesis: u ≠ 4

Population mean: u ≠ 4

Step 3 and step 4 are attached.

Step 5: Based on the calculation, the calculated value of t is less than the t critical value, therefore, the null hypothesis will be failed to be rejected.

2. Sketch the distributions involved

This has been attached.

3. Explain the logic of what you did to a person who is familiar with hypothesis testing, but knows nothing about t tests of any kind.

The distribution is "t".

The means is tested by using T-test.

Chi-square is used to test the single variance.

8 0
3 years ago
Mia works at a job earning $4.75 per hour. How many hours should she work to earn $124.00?
labwork [276]

Mia would have to work 26.1 hours (approx. 26) to earn $124.00

4.75x=124

divide 4.75 by 4.75 and divide 124 by 4.75

x=26.1

8 0
3 years ago
Read 2 more answers
One point on the trend line is 200,6 using this point and the y-intercept find the slope of the trend line.
Marina CMI [18]

Step-by-step explanation:

Use the formula (Y2 - Y1)/(X2 - X1) to find the slope between two points

We'll make Point 1 (which is X1 and Y1) the Y-intercept so

X1, Y1 = (0, 5.00)

And we'll make Point 2 (which is X2 and Y2) the point on the trend line

X2, Y2 = (200, 6.00)

Plug into the formula:

(6.00 - 5.00)/(200 - 0)

= 1/200 or 0.005

Slope: 1/200 or 0.005

---

If this helps, please mark as Brainliest! :)

6 0
3 years ago
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