MATHEMATICS MIDDLE SCHOOL

Number 7 please help
ashlynjayde2003 avatar

Answers

Answer 1
Answer: 7) Draw a quadrilateral with 1 pair of parallel side. What special quadrilateral have you drawn?

Properties of a quadrilateral:
1) has four sides or edges
2) has four vertices or corners
3) interior angles add up to 360°

US definition: A trapezoid is a quadrilateral that has 1 pair of parallel sides.
UK definition: A trapezium is a quadrilateral that has 1 pair of parallel sides.

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A machine makes 300 boxes in 15 minutes. Which expression equals the unit rate in boxes per hour

Answers

300 divide 15 so it is y=60x

Final answer:

The unit rate of boxes produced per hour by the machine is 1200 boxes per hour. This is obtained by multiplying the number of boxes made in 15 minutes (300 boxes) by 4 to account for the 4 15-minute intervals in an hour.

Explanation:

To find the unit rate of boxes produced per hour, we first need to determine how many minutes are in an hour. There are 60 minutes in 1 hour.

Then, we need to figure out how many 15-minute intervals fit into 60 minutes. To do this, we divide 60 by 15, which gives us 4. This means there are 4 15-minute intervals in an hour.

Given that the machine makes 300 boxes in 15 minutes, we multiply this quantity by 4 to find out how many boxes it makes in an hour. Therefore, the expression for the unit rate in boxes per hour is 300 boxes * 4, which equals 1200 boxes per hour.

Learn more about Unit Rate here:

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a sample of 412 adults showed that 293 of them are connected the the internet from home. Construct and interpret a 90% confidence interval for the proportion of all adults that have internet access.

Answers

The 90% confidence interval will be "(0.674, 0.748)".

Given:

Sample no. of events,

  • x = 293

Sample size,

  • n = 412

Now,

The sample proportion will be:

→ \hat{p} = (x)/(n)

     = (293)/(412)

     = 0.711

The significance level will be:

  • \alpha = 0.10

Form the z-table,

The critical value, z* = 1.645

Now,

The standard error will be:

= \sqrt{(\hat p(1- \hat p))/(n) }

= 0.0223

and,

The margin of error,

→ E = z* \sqrt{(\hat p(1- \hat p))/(n) }

      = 1.645* 0.0223

      = 0.0367

Now,

The lower limit will be:

= \hat p -E

= 0.6744

The upper limit will be:

= \hat p +E

= 0.7479

hence,

The CI is "(0.6744, 0.748)". Thus the response above is right.

Learn more about confidence interval here:

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Answer:

CI = (0.674, 0.748)

Step-by-step explanation:

The confidence interval of a proportion is:

CI = p ± SE × CV,

where p is the proportion, SE is the standard error, and CV is the critical value (either a t-score or a z-score).

We already know the proportion:

p = 293/412

p = 0.711

But we need to find the standard error and the critical value.

The standard error is:

SE = √(p (1 − p) / n)

SE = √(0.711 × (1 − 0.711) / 412)

SE = 0.0223

To find the critical value, we must first find the alpha level and the degrees of freedom.

The alpha level for a 90% confidence interval is:

α = (1 − 0.90) / 2 = 0.05

The degrees of freedom is one less than the sample size:

df = 412 − 1 = 411

Since df > 30, we can approximate this with a normal distribution.

If we look up the alpha level in a z score table or with a calculator, we find the z-score is 1.645.  That's our critical value.  CV = 1.645.

Now we can find the confidence interval:

CI = 0.711 ± 0.0223 * 1.645

CI = 0.711 ± 0.0367

CI = (0.674, 0.748)

So we are 90% confident that the proportion of adults connected to the internet from home is between 0.674 and 0.748.

Start at 12 create a pattern that multiplies each number by 4

Answers

So,

Basically, you're asking us to start a pattern with 12 and multiply it for every subsequent term.
12, 12 * 4, 12 * 4^2, 12 * 4^3, ...
12, 48, 192, 384, ...

So the geometric sequence will look like this:

12 * 4^(n-1)

A geometric sequence is a sequence where the next terms are found by performing multiplication or division.  In this case, we are multiplying by 4.  This is opposed to an arithmetic sequence, where we are adding or subtracting.

To show that this geometric sequence works, let's try to find a few terms.  To find the nth term, you just have to plug in the number of the term into the expression for n.

For instance, find the first term.  This is the resulting expression:
12*4^(1-1)=12*4^0=12*1=12

Let's try a few more terms.  The 2nd term:
12 * 4^(2-1) = 12*4^1=12*4=48

The 3rd term:
12 * 4^(3-1) = 12*4^2=12*16=192

And that's how the geometric sequence works.

What is the tax (8%) on a $2.50 magazine

Answers

multiply 0.08 times 2.50 you'll get $0.2 twenty cents
2.50X.08=.2
tax is 20 cents 

8 percent =.08 as a decimal. to get the decimal of a percent pretend 8 percent is an 8 with an invisible decimal point at its right. so 8% is 8.0. to get a decimal of a percent, move the point two times to the left, and you will put in a 0 for the blank. so its ._8, where he blank is 0 and so 8%=.08

What is the product of 9 and the quantity is 5 more than a number t is less then 6

Answers

The quantity 5 more than a number t is labeled as (5+t) 
Product of 9 and the quantity is labeled as = 9(5+t) which equals 45+9t
Result is less than 6 so the equation becomes
45+9t < 6 

Caroline has 10 marbles. One half of them are blue. How many of Caroline marbles are blue?

Answers

10÷2=5marbles are blue because if u want to have half of something all u have to do is divide that number by 2
Half of 10 is 5. So 5 marbles are blue.
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