All categories

2 years ago

12. How many cups are left in a half-gallon carton of orange juice after 3 cups are used?

Mathematics

1 answer:

tia_tia [17]2 years ago

8 0

The number of cups that are left in a half-gallon carton of orange juice after 3 cups are used is 5 cups.

To solve this question, we'll need to convert gallons to cups. This will be:

1 gallon = 16 cups. Therefore, 1/2 gallon will be = 1/2 × 16 = 8 cups.

In this case, we'll then subtract the number of cups that have been used from 8 cups. This will be:

= 8 cups - 3 cups .

= 5 cups.

Therefore, the number of cups that are left after 3 cups are used is 5 cups.

Read related link on:

brainly.com/question/24783808

You might be interested in

For brainiest:):):):):):):):):):)

Andre45 [30]

Answer:

Polygons are many-sided figures, with sides that are line segments. Polygons are named according to the number of sides and angles they have. 1)draw a line of 7 in 2) draw a line of 10 cm

hope that help a little

Step-by-step explanation:

8 0

3 years ago

the radius of a standard baseball is about 3 in. about how many square in of horsehide required to cover 100 balls, to the neare

ipn [44]

Answer:

Step-by-step explanation:The surface area of a sphere (the shape of a baseball) is given by the formula, SA = 4 (pi) r^2. Given the circumference of the circle, you can solve for the radius.

The formula for circumference is C = 2 x pi x r.

So input 9 for C and solve. 9 = 2 x pi x r.

You will get that r is equal to about 1.43 in.

Now put that r value into the surface area equation: SA = 4 (pi) 1.43^2

You will get a surface area equal to about 25.7 in^2.

Now multiply that number by the number of baseballs you need to cover, 100.

I'll let you do that step by yourself since it's simple algebra and you're smart enough to figure it out ;)

3 0

3 years ago

ILL GIVE YOU BRAINLIST !!!! What is the slope of this table?

VLD [36.1K]

Answer: Slope is m = 2/3

Step-by-step explanation:

-You have exactly four points on a table:

$(3,2) (6,4) (9,6) (12,8)$

-Use the slope formula and use any two points from those four points in order to find the slope:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

-The two points I use are $(3, 2)$ and $(6,4 )$ for the equation:

$m = \frac{4 - 2}{6-3}$

$m= \frac{2}{3}$

So, the slope of the table is $\frac{2}{3}$ .

8 0

3 years ago

A savings and loan association needs information concerning the checking account balances of its local customers. A random sampl

Marina86 [1]

Answer:

The 99% confidence interval for the true mean checking account balance for local customers is ($439.29, $888.99).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 13

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 3.0123

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 3.0123\frac{279.29}{\sqrt{14}} = 224.85$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 664.14 - 224.85 = $439.29

The upper end of the interval is the sample mean added to M. So it is 664.14 + 224.85 = $888.99.

The 99% confidence interval for the true mean checking account balance for local customers is ($439.29, $888.99).

4 0

3 years ago

A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain sca

saul85 [17]

Answer:

The 95% confidence interval for the difference would be given by (-1.776;0.376)

We are 95% confidence that the true mean difference is between $-1.776 \leq \mu_d \leq 0.376$ . Since the confidence interval contains the value 0, we don't have enough evidence to conclude that hypnotism appear to be effective in reducing pain.

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".

Let put some notation

x=test value before , y = test value after

x: 6.4 2.6 7.7 10.5 11.7 5.8 4.3 2.8

y: 6.7 2.4 7.4 8.1 8.6 6.4 3.9 2.7

The differences defined as $d_i = y_i -x_i$ and we got:

d: 0.3, -0.2, -0.3, -2.4, -3.1, 0.6, -0.4, -0.1

We can calculate the mean and the deviation for the sample with the following formulas:

$\bar d=\frac{\sum_{i=1}^n d_i}{n}$

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}$

$\bar d=-0.7$ represent the sample mean for the difference

$\mu_d$ population mean (variable of interest)

$s_d$ =1.32 represent the sample standard deviation

n=8 represent the sample size

Confidence interval

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

$\bar d \pm t_{\alpha/2} *\frac{s_d}{\sqrt{n}}$ (1)

In order to calculate the critical value t we need to find first the degrees of freedom, given by:

$df=n-1=8-1=7$

Since the Confidence is 0.95 or 95%, the value of alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,8)".And we see that $t_(\alpha/2)=2.306$

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

$-0.7-2.306\frac{1.32}{\sqrt{8}}=-1.776$

$-0.7+2.306\frac{1.32}{\sqrt{8}}=0.376$

So on this case the 95% confidence interval for the difference would be given by (-1.776;0.376)

6 0

3 years ago