Ask question

Ask question

All categories

3 years ago

10

The students put recycling bins in the teachers lounge at school at the end of the week there was a total of 48.9 pounds of cans

and bottles they split them evenly into three bags how many pounds did each bag weigh

1 answer:

masha68 [24]3 years ago

8 0

Answer:

16.3 pounds

Step-by-step explanation:

You might be interested in

A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The stud

iris [78.8K]

Answer:

$-0.048$

Do not reject $H_0:P_1-P_2=0$

Step-by-step explanation:

From the question we are told that

Sample size $n_1=350$

Sample size $n_2=250$

Sample proportion 1 $\hat P= \frac{25}{350} =>0.07$

Sample proportion 2 $\hat P= \frac{19}{250} =>0.076$

95% confidence interval

Generally for 95% confidence level

Level of significance

$\alpha = 1-0.95=>0.05$

$\alpha /2=\frac{0.05}{2} =>0.025$

Therefore

$Z_a_/_2=1.96$

Generally the equation for confidence interval between $P_1 - P_2$ is mathematically given as

$(\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2} }$

$(0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250} }$

$(0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4 }$

$(-0.006)\pm 0.042$

$(-0.006)- 0.042=>-0.048$

$(-0.006)+ 0.042=>0.036$

Therefore

Confidence interval is

$-0.048$

Conclusion

Given the confidence interval has zero

Therefore do not reject $H_0:P_1-P_2=0$

6 0

2 years ago

Serial numbers for a product are to be made using 2 letters followed by 3 numbers. If the letters are to be taken from the first

Daniel [21]

2 Letters chosen among 6 with no repeat:
a) the first has 6 ways
    the second has 5 ways

Then to choose 2 letters among 6, with no repeat, there are 6x5 = 30 ways

b) 3 numbers are taken from the digits 0 through 9 with repeats (total = 10)
   the first has 10 ways
   the second has 10 ways
    the third has 10 ways

Then to choose 3 numbers among 10, with repeat, there are 10x10x10= 1000 ways
And the total serial numbers that can be generated is
30 x 1000 = 3000

8 0

3 years ago

Use the graph to write the explicit rule of the arithmetic sequence.

Igoryamba

Answer:

$f_n=7+\left(-2\right)\left(n-1\right)$

Therefore, option C is true.

Step-by-step explanation:

From the graph, we get the sequence

7, 5, 3, 1, ...

Here,

a₁ = 7 is the first element.

An arithmetic sequence has a constant difference 'd' and is defined by

$f_n=a_1+\left(n-1\right)d$

computing the differences of all the adjacent terms

$5-7=-2,\:\quad \:3-5=-2,\:\quad \:1-3=-2$

The difference between all the adjacent terms is the same and equal to

$d=-2$

substituting a₁ = 7 and d = -2 in the nth term of the sequence

$f_n=a_1+\left(n-1\right)d$

$f_n=7+\left(-2\right)\left(n-1\right)$

Therefore, option C is true.

6 0

3 years ago

Find a third-degree polynomial equation with rational coefficients that has the given numbers as roots. 1 and 3i

andre [41]

Answer:

x³ − x² + 9x − 9 = 0

Step-by-step explanation:

Imaginary roots come in conjugate pairs. So if 3i is a root, then -3i is also a root.

(x − 1) (x − 3i) (x − (-3i)) = 0

(x − 1) (x − 3i) (x + 3i) = 0

(x − 1) (x² − 9i²) = 0

(x − 1) (x² + 9) = 0

x (x² + 9) − (x² + 9) = 0

x³ + 9x − x² − 9 = 0

x³ − x² + 9x − 9 = 0

4 0

3 years ago

(Help please and thank you very much.)

Debora [2.8K]

Answer:

26 weeks!

Step-by-step explanation:

Hello there!

There are 52 weeks in a year, believe it or not! So, if 1 bag of food was 10 lbs, then it would be 1 bag of 10lbs x 52 weeks, so it would be 52 bags. However, we are dealing with 20 lb bags, which will last twice as long as the 10 lb bag! So, if 1 bag will last 2 weeks, and there are 52 weeks in a year, then it is weeks divided by number of weeks it takes to consume 1 bag, 52 divided by 2. 52 divided by 2 is 26.

So in 1 year, the shelter will need 26 bags of 20 lb cat food!

Hope I helped!

If you enjoyed my answer, I'd appreciate a rating and a Thanks!

5 0

3 years ago