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3 years ago

What is the quotient of 4 and 2/3 divided by 2/3???

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

7 0

Answer:

The answer is 7.

Step-by-step explanation:

To solve, first convert the 4 2/3 fraction into an improper number, which is 14 over 3.

First we multiply the numerators 14 x 2 which equal 42. Then we multiply the denominators 3 x 2 which equal 6.

42/6. To simplify the number we can put 6 into 42, which we can do evenly 7 times, we get the answer 7.

disa [49]3 years ago

3 0

The quotient of 4 ÷ 4 = 1

You might be interested in

A data set includes 103 body temperatures of healthy adult humans having a mean of 98.1 F and a standard deviation of 0.56 F. Co

Ira Lisetskai [31]

Answer:

The 99% confidence interval estimate of the mean body temperature of all healthy humans is (97.955F, 98.245F).

98.6F is above the upper end of the interval, which means that the sample suggests that the mean body temperature could be lower than 98.6F.

Step-by-step explanation:

The first step is finding the confidence interval

The sample size is 103.

The first step to solve this problem is finding how many degrees of freedom there are, that is, the sample size subtracted by 1. So

$df = 103-1 = 102$

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 102 and 0.005 in the t-distribution table, we have $T = 2.63$ .

Now, we need to find the standard deviation of the sample. That is:

$s = \frac{0.56}{\sqrt{103}} = 0.055$

Now, we multiply T and s

$M = T*s = 2.63*0.055 = 0.145$

For the lower end of the interval, we subtract the mean by M. So 98.1 - 0.145 = 97.955F.

For the upper end of the interval, we add the mean to M. So 98.1 + 0.145 = 98.245F.

The 99% confidence interval estimate of the mean body temperature of all healthy humans is (97.955F, 98.245F).

98.6F is above the upper end of the interval, which means that the sample suggests that the mean body temperature could be lower than 98.6F.

5 0

4 years ago

Solve the system by substitution -x-y-z=-8 -4x+4y+5z=7 2x+2z=4 show the work

Bezzdna [24]

ANSWER 

$x=3,y=6,z=-1$

EXPLANATION

We the have the equations,

$-x-y-z=-8$

Multiplying through by negative one gives,

$x+y+z=8---(1)$

Also

$-4x+4y+5z=7---(2)$

and

$2x+2z=4$

Dividing through by 2 gives

$x+z=2$

Making z the subject gives,

$z=2-x---(3)$

Now we substitute equation (3) into equation (1) and (2)

Equation (3) in to equation (1) gives,

$x+y+2-x=8$

This implies that;

$y=8-2$

$y=6$

We now put equation (3) in (2) to get,

$-4x+4y+5(2-x)=7$

This implies that

$-4x+4y+10-5x=7$

$-9x+4y=7-10$

$-9x+4y=-3$

But

$y=6$

So,

$-9x+4(6)=-3$

$-9x+24=-3$

$-9x=-3-24$

$-9x=-27$

Dividing through by negative 9 gives

$x=3$

and

$z=2-3$

$z=-1$

Therefore $x=3,y=6,z=-1$

8 0

4 years ago

Katie, Elizabeth, and Siobhan volunteer at the hospital. In a week, Katie volunteers 3 hours more than Elizabeth does and Siobha

VladimirAG [237]

Let us assume the number of hours volunteered by Katie = x
Number of hours volunteered by Elizabeth = y
Number of hours volunteered by Siobhan = z
After one week,
x = y + 3
z = y - 1
After 3 weeks
3x = 3 (y + z)
Dividing both sides by 3, we get
x = y + z

Putting the value of x from the first equation in the third equation, we get

x = y + z
y + 3 = y + z
z = 3

Now putting the value of z in the second equation, we get
z = y - 1
3 = y - 1
y = 4
Putting the value of y in the first equation, we get
x = y + 3
= 4 + 3
= 7
The number of hours volunteered by Katie = 7 hours
Number of hours volunteered by Elizabeth = 4 hours
Number of hours volunteered by Siobhan = 3 hours

5 0

3 years ago

A can of Pringles has a diameter of 3 inches, a volume of 77.72 inches^3, and a surface area of 117.75 inches^2. What is the hei

aev [14]

Answer:

Step-by-step explanation:

Look at the picture for the process.