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3 years ago

9

4. Solve the following inequality: 3y-1 less than 3

1 answer:

mylen [45]3 years ago

3 0

3y - 1 < 3

Isolate the y. Treat the less than or equal like an equal sign.

Do the opposite of PEMDAS. First, add 1 to both sides

3y - 1 (+1) < 3 (+1)

3y < 4

Next, divide 3 from both sides

3y/3 < 4/3

y < 4/3

y < 4/3 is your answer

hope this helps

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Sue bought 3 t shirt for 8$ each. she paid with a $50 bill how much change should she get

muminat

Hi there!

First we need to calculate how much the 3 T-shirts cost and subtract that from the amount she paid to find the change.

First, we multiply to find the coats of the T-shirts.

3 × 8 = 24

Now, we subtract 24 from 50.

50 - 24 = 26

So, she got $26 of change.

Hope this helps!

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3 years ago

Which of the numbers below belong to both the set of natural numbers and the set of integers?

VladimirAG [237]

15 - natural (1,2,3...15....) and integers (...-2,-1,0, 1,2,...15,...)

8 0

3 years ago

A past survey of students taking a standardized test revealed that % of the students were planning on studying engineering in c

Angelina_Jolie [31]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval is $-0.00870$

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 1068000$

The first proportion $\r p_1 = 0.084$

The second sample size is $n_2 = 1476000$

The second proportion is $\r p_2 = 0.092$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = (100 - 95)\%$

$\alpha = 0.05$

From the normal distribution table we obtain the critical value of $\frac{ \alpha }{2}$ the value is

$Z_{\frac{\alpha }{2} } =z_c= 1.96$

Now using the formula from the question to construct the 95% confidence interval we have

$(\r p_1 - \r p_2 )- z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} }$

Here $\r q_1 = 1 - \r p_1$

=> $\r q_1 = 1 - 0.084$

=> $\r q = 0.916$

and

$\r q_2 = 1 - \r p_2$

=> $\r q_2 = 1 - 0.092$

=> $\r q_2 = 0.908$

So

$(0.084 - 0.092 )- (1.96)* \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} }$

$-0.00870$

3 0

3 years ago

Need help please!!!<br>Given parallelogram MNOP if PN=27 what is NQ

likoan [24]

9514 1404 393

Answer:

NQ = 13.5

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. NQ is half of NP, so is ...

NQ = PN/2 = 27/2

NQ = 13.5

8 0

2 years ago

Solve for the variable: 4x − (9 − 3x) = 8x − 1

svet-max [94.6K]

Answer:

x = - 8

Step-by-step explanation:

4x - 9 + 3x = 8x - 1

7x - 9 = 8x - 1

7x - 8x - 9 = 8x - 8x - 1

- x - 9 = - 1

- x - 9 + 9 = - 1 + 9

- x = 8

- x ÷ - 1 = 8 ÷ - 1

x = - 8

7 0

3 years ago