Use the diagram to the right to complete the statement. If m<MON=74 then m<KJR=

For each value of y, determine whether it is a solution to -2y+75-5. Is it a solution?

ser-zykov [4K]

Answer:

• No

• Yes

• No

Step-by-step explanation:

To determine if the 4 given values of y are solutions to the inequality, start by solving the inequality. Solving an inequality is just like that of an equation, except that the direction of the sign changes when the inequality is divided by a negative number.

-2y +7≤ -5

Subtract 7 on both sides:

-2y≤ -5 -7

-2y≤ -12

Divide by -2 on both sides:

y≥ 6

This means that the solution can be 6 or greater than 6.

-10 and 3 are smaller than 6 and are not a solutions, while 7 and 6 satisfies the inequality and are therefore solutions.

_______

Alternatively, we can also substitute each value of y into the inequality and check if the value is less than or equal to -5.

Here's an example to check if -10 is a solution.

-2y +7≤ -5

When y= -10,

-2y +7

= -2(-10) +7

= 20 +7

= 27

Since 27 is greater than 5, it is not a solution to the inequality.

3 0

2 years ago

An investigator wants to assess whether the mean m = the weight of passengers flying on small planes exceeds the FAA guideline o

stira [4]

Answer:

$H_{0}: \mu= 185$ and $H_{a}: \mu > 185$

Step-by-step explanation:

The null hypothesis $H_{0}$ states that a population parameter (such as the mean, the standard deviation, and so on) is equal to a hypothesized value. We can write the null hypothesis in the form $H_{0}: parameter = value$

In this context, the investigator's null hypothesis should be that the average total weight is no different than the reported value by the FAA. We can write it in this form $H_{0}: \mu= 185$ .

The alternative hypothesis $H_{a}$ states that a population parameter is smaller, greater, or different than the hypothesized value in the null hypothesis. We can write the alternative hypothesis in one of three forms

$H_{a}: parameter > value\\H_{a}: parameter < value\\H_{a}: parameter \neq value$

The investigator wants to know if the average weight of passengers flying on small planes exceeds the FAA guideline of the average total weight of 185 pounds. He should use $H_{a}: \mu > 185$ as his alternative hypothesis.

7 0

3 years ago

2. 35 45 n; 10, 11, 12

eduard

35 = 45 - n
think of it as money
45 dollars take away how many (n) = 35 dollars
45 - n =35
or you can subtract 45 from both sides
-n = 35-45
-n = -10
divide by -1 from both sides
n = 10

4 0

3 years ago

What is the value of 742 + 16/42

Shtirlitz [24]

Answer:

742,380952381 OR 31180/42

Step-by-step explanation:

16/42=0,380952381

742+0,380952381=742,380952381

or

(742*42)/42 + 16/42 = (31164+16) /42 = 31180/42

6 0

3 years ago

What's the ratio in simplest form 60 to 30

Nikitich [7]

Answer:

2:1

Step-by-step explanation:

because 60 split in half is 30

and 30 split in half is 15

then if you divide both numbers by 5 then you get 6:3

6:3 is equivalent to 2:1

sorry im a little late, hope this helped though.

4 0

3 years ago