Write a real word problem that can be represented by the equation 3/4c=21

What is the area of a rectangle that has the base of 5 centimeters and a height of 2 centimeters?

Alex_Xolod [135]

Answer:

10 square centimeters.

Step-by-step explanation:

The area of a rectangle=base*height. 5*2=10 square centimeters.

5 0

3 years ago

Read 2 more answers

In a random sample of 10 residents of the state of Washington, the mean waste recycled per person per day was 2.3 pounds with a

djverab [1.8K]

Answer:

90% confidence interval for the mean waste recycled per person per day for the population of Washington is [2.074 , 2.526].

Step-by-step explanation:

We are given that a a random sample of 10 residents of the state of Washington, the mean waste recycled per person per day was 2.3 pounds with a standard deviation of 0.39 pounds.

Firstly, the pivotal quantity for 90% confidence interval for the mean waste recycled per person per day for the population of Washington is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean waste recycled per person per day = 2.3 pounds

s = sample standard deviation = 0.39 pounds

n = sample of residents = 10

$\mu$ = population mean waste recycled per person per day

Here for constructing 90% confidence interval we have used t statistics because we don't know about population standard deviation.

So, 90% confidence interval for the population mean, $\mu$ is ;

P(-1.833 < $t_9$ < 1.833) = 0.90 {As the critical value of t at 9 degree of

freedom are -1.833 & 1.833 with P = 5%}

P(-1.833 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 1.833) = 0.90

P( $-1.833 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $1.833 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.833 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.833 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

90% confidence interval for $\mu$ = [ $\bar X-1.833 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.833 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $2.3-1.833 \times {\frac{0.39}{\sqrt{10} } }$ , $2.3-1.833 \times {\frac{0.39}{\sqrt{10} } }$ ]

= [2.074 , 2.526]

Therefore, 90% confidence interval for the mean waste recycled per person per day for the population of Washington is [2.074 , 2.526].

8 0

3 years ago

1.What is the intersection of all the open intervals containing the closed interval [0,1]? Justify your answer.

ExtremeBDS [4]

Answer:

Step-by-step explanation:

1)

We can find an open interval $(-\frac{1}{n}, 1+\frac{1}{n})$ . Which contains the closed interval $[0,1]$ when $n \to \infinity$

Therefore, the intersection of all the open intervals containing $[0,1[/tex[ is [tex][0,1]$

2)

We can find closed intervals containing $[0,1]$ in $(-\frac{1}{n}, 1+\frac{1}{n})$ when $n \to \infinity$

Since $(-\frac{1}{n}, 1+\frac{1}{n})$ is closed, the intersection of all those intervals containing $[0,1[/tex[ is the closed interval [tex][0,1]$

7 0

3 years ago

Solve the system of linear equations by substitution. Check your solution. Numbers 10 and 14.

Studentka2010 [4]

Answer:

10) x =2, y = -2

14) x = -3, y = 4

Step-by-step explanation:

Check attachment

I hope this was helpful, Please mark as brainliest.

6 0

4 years ago

Tatiana wants to give friendship bracelets for 32 classmates. She already has 5 bracelets, and she can buy more bracelets in pac

Natasha2012 [34]

Answer:

b. No she will not have enough bracelets for all 32 classmates if she orders 5 more packages of bracelets

Step-by-step explanation:

write out the equation

p=the number of packages she needs to buy

32=5+4p

subtract five from both sides

32-5=5-5+4p

27=4p

dived both side by 4

27/4=4p/4

6.75=p round to 7

Check your answer:

4 x 7 = 28

add the number of bracelets she already has

28 + 5 = 33 bracelets

33>32

So 7 packages is the minimum number of packages she needs to buy

6 0

4 years ago