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3 years ago

What is the inequality for x -3 < 5 (10 points for this question)

Mathematics

2 answers:

bagirrra123 [75]3 years ago

8 0

Answer:

x < 8

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality

Sergio039 [100]3 years ago

3 0

answer is x<8

Step-by-step explanation:

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Select all that apply.<br><br> Given ΔJKL : ΔXYZ, which of the following are corresponding parts?

nydimaria [60]

Answer:

Not completely sure but (this is probably so wrong) YX, XZ AND JK, JL

Step-by-step explanation:

✨✨✨✨✨✨Hope This Helps✨✨✨✨✨✨

3 0

3 years ago

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customer

AlladinOne [14]

Answer:

$4-2.326\frac{1}{\sqrt{100}}=3.767$

$4+2.326\frac{1}{\sqrt{100}}=4.233$

So on this case the 98% confidence interval would be given by (3.767;4.233)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=4$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=100 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that $z_{\alpha/2}=2.326$

Now we have everything in order to replace into formula (1):

$4-2.326\frac{1}{\sqrt{100}}=3.767$

$4+2.326\frac{1}{\sqrt{100}}=4.233$

So on this case the 98% confidence interval would be given by (3.767;4.233)

4 0

3 years ago

Which mixed number is equivalent to the improper fraction below?

Solnce55 [7]

D is the correct fraction

5 0

3 years ago

For what values of x and y must the figure have in order to be parallelogram?

Oduvanchick [21]

Answer:

y = 10°

x = 64°

Step-by-step explanation:

Parallelogram is a quadrilateral with the opposite sides parallel to each other. Opposite sides are equal in length. Opposite angles are equal in a parallelogram.

For the figure to be a parallelograms, since opposite angle are equal

12y + 8 = 2x

2x - 12y = 8 ...................(i)

2x + 5y + 2 = 180(supplementary angle)

2x + 5y = 178..............(ii)

combine the equation

2x - 12y = 8 ...................(i)

2x + 5y = 178..............(ii)

make x subject of the formula in equation (i)

2x - 12y = 8 ...................(i)

2x = 8 + 12y

x = 4 + 6y

put the value of x in equation (ii)

2x + 5y = 178..............(ii)

2(4 + 6y) + 5y = 178

8 + 12y + 5y = 178

8 + 17y = 178

17y = 170

divide both sides by 17

y = 170/17

y = 10°

Put the value of y in equation (i)

2x - 12y = 8 ...................(i)

2x - 12(10) = 8

2x - 120 = 8

2x = 128

x = 128/2

x = 64°

7 0

3 years ago

(answer ASAP! thanks.) "As part of a math project, Joel recorded the types of vehicles passing an intersection in one hour. His

ANTONII [103]

Step-by-step explanation:

There is a total amount of vehicle of 100

which is good because now you can say 73% is cars 16% is small trucks 6% is large trucks and 2% motorcycle and 3% bicycle. Adding the trucks (small 16, large 6) gives us 24% so you can do 100% - 24% and get 74%. Thanks and goodbye!

7 0

3 years ago