How do I calculate the total volume for the objects below using V=l×w×h

David needs 36 gallons of punch for a party and has two different coolers to carry it in. the bigger cooler is 5 times as large

serg [7]

The little cooler can contain = 6 gallons.

The large cooler can contain is = 30 gallons.

<h3>What is volume surface area?</h3>

Any particular object's surface area is the space that the object's surface takes up. Volume, however, refers to the quantity of space a thing has. Different shapes and sizes exist in geometry, including spheres, cubes, cuboid shapes, cones, and cylinders, among others. Both the surface area and the volume are unique to each shape.

<h3>According to the given information:</h3>

The number of gallons that a small cooler can hold is: x gallons.

and a larger cooler can hold: 5x the number of gallons.

(Because it was noted:

In comparison to the smaller cooler, the larger cooler is five times bigger.

Additionally, a party requires 36 gallons of punch in total.

The result is:

x+5x=36

i.e. 6x=36

Divide both sides by 6, and the result is:

x=6

In light of this, the little cooler can contain 6 gallons.

and how many gallons the large cooler can contain is: 5 x 6 = 30 gallons.

To know more about volume surface area visit:

brainly.com/question/12446369

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6 0

1 year ago

One half of the sum of 7 and k

igomit [66]

The answer could be (7+k)÷2

4 0

3 years ago

The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let µ denote the true average re

Zolol [24]

Answer:

a) $df=n-1=16-1=15$

The statistic calculated is given by t=3.3

Since is a one-side upper test the p value would be:

$p_v =P(t_{15}>3.3)=0.0024$

So since the p value is lower than the significance level $pv$ we reject the null hypothesis.

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

The statistic calculated is given by t=1.8

Since is a one-side upper test the p value would be:

$p_v =P(t_{7}>1.8)=0.057$

So since the p value is higher than the significance level $pv>\alpha$ we FAIL to reject the null hypothesis.

c) $df=n-1=26-1=25$

The statistic calculated is given by t=-0.6

Since is a one-side upper test the p value would be:

$p_v =P(t_{25}>-0.6)=0.723$

So since the p value is higher than the significance level $pv>\alpha$ we FAIL to reject the null hypothesis.

Step-by-step explanation:

1) Data given and notation

$\bar X$ represent the sample mean

$s$ represent the standard deviation for the sample

$n$ sample size

$\mu_o =20$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mean is higher than 20, the system of hypothesis would be:

Null hypothesis: $\mu \leq 20$

Alternative hypothesis: $\mu > 20$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

(a) n = 16, t = 3.3, a = 0.05, P-value =

First we need to calculate the degrees of freedom given by:

$df=n-1=16-1=15$

The statistic calculated is given by t=3.3

Since is a one-side upper test the p value would be:

$p_v =P(t_{15}>3.3)=0.0024$

So since the p value is lower than the significance level $pv$ we reject the null hypothesis.

(b) n = 8, t = 1.8, a = 0.01, P-value =

First we need to calculate the degrees of freedom given by:

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

The statistic calculated is given by t=1.8

Since is a one-side upper test the p value would be:

$p_v =P(t_{7}>1.8)=0.057$

So since the p value is higher than the significance level $pv>\alpha$ we FAIL to reject the null hypothesis.

(c) n = 26,t = -0.6, P-value =

First we need to calculate the degrees of freedom given by:

$df=n-1=26-1=25$

The statistic calculated is given by t=-0.6

Since is a one-side upper test the p value would be:

$p_v =P(t_{25}>-0.6)=0.723$

So since the p value is higher than the significance level $pv>\alpha$ we FAIL to reject the null hypothesis.

3 0

3 years ago

5) Contains (3,-1) and (6,- 13)<br> Help please

zimovet [89]

Answer:

The slope of the line is -12/3

Step-by-step explanation:

remember, rise over run

My I have brainliest please? :)

6 0

2 years ago

A four-sided polygon has sides that measure 1 cm, 5cm, and 7 cm. (Forth side not given). What is the perimeter?

yaroslaw [1]

Answer:

(13+x)cm

Step-by-step explanation:

Given data

Length of sides

1cm, 5cm, 7cm

Since the shape is four-sided and the fourth side is not given, let the fourth side be x

so

The perimeter of the polygon is

P= 1+5+7+x

P= 13+x

Hence the perimeter of the polygon is

P= (13+x)cm

3 0

3 years ago

How do I calculate the total volume for the objects below using V=l×w×h​

How do I calculate the total volume for the objects below using V=l×w×h