Joseph needs to buy insulation for the inside of a truck container. The container is a rectangular prism 12 feet long, 7 feet wide, and 6.5 feet high. How much insulation should Joseph buy if all surfaces except the floor are to insulated?

The volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.

To find the volume of the composite figures, follow the steps listed below:,

A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. The volume of the roof is:

[tex]V=\dfrac{1}{3}(\text{length x width x height})\\V=\dfrac{1}{3}40\times40\times20\\V\approx10667\rm\; ft^3[/tex]

The volume of the room is:

V=length x width x height

V=40 x 40 x 30

V=48000 ft³

The volume of the entire house, including the roof, is,

V=10667+48000

V=58667 ft³

Thus, the volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.

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Answer:

40=10% im rightthe total is 400

Step-by-step explanation:

Answer: both

Step-by-step explanation:

Hi there,

So,

Simplify and solve for x.

In the context of this problem, the equation x=14 means that the first number is 14. The next three even numbers are 16, 18, and 20.

Checking we see that 14+16+18+20=68.

The number of football helmets which are likely to be scratched from the 108 helmets is; 12.

It follows from the task content that of the initial shipment of 108 football helmets; four of them were scratched.

On this note, the number of helmets likely to be scratched from the new shipment of 108 helmets can be evaluated by ratios as;

x = (108 × 4)/36 = 12 scratched helmets.

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Answer:

a) below

b) log_35 (8) = x

c) x = 0.58487

Step-by-step explanation:

a) 35^x=8

apply the exponent rule

xln(35) = ln(8) → x = ln(8)/ln(35) → x = 3ln(2)/ln(35)

x = 0.58487

c) log_35 (8) = x

x = log_35 (8)

base form (Rewrite 8 in power)

x = log_35 (2^3)

log rule: log_a(x^b) = b*log_a(x)

log_35 (2^3) = 3log_35(2)

x = 3log_35(2)

x = 0.58487

Answer:

D. 188/250

Step-by-step explanation:

Total number attending concert is 250

Total number of adults AND tickets purchased in advance:

48 + 100 + 40 = 188

Divide by 250:

[tex]\frac{188}{250}[/tex]

The probability that the randomly selected person attending the concert is an adult or has purchased the ticket in advance is 188/250.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given a table which shows when the tickets for a concert are sold and the types of tickets that are sold.

The probability of A or B can be calculated as,

P(A or B) = P(A) + P(B) - P(A and B)

Let A denote the people is an adult.

Let B denote the people who has purchased the ticket in advance.

P(A) = 148/250

P(B) = 140/250

P(A and B) = 100/250

Probability that a randomly selected person attending the concert is an adult or has purchased the ticket in advance is,

P(A or B) = 148/250 + 140/250 - 100/250

              = 288/250 - 100/250

               = 188/250

Hence the required probability is 188/250.

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Answer:

95

Step-by-step explanation:

19 DVDs for 10 dollars and he has 50 dollars well 50 dollars is just 5 groups of 10 so just 19 x 5 = 95

Answer:

the answer would be A, 78.52

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

(I think ) sorry it it's wrong

Answer:

a = b + 6

b = 8

Step-by-step explanation:

a = b + 6

b = 8

Answer:

97.7 %

Step-by-step explanation:

TWO standard deviations above the mean

  z - score = 2   corresponds to .9772    97.7 %

Answer:

median = 535

mode = 540

mean = 538.75

Step-by-step explanation:

To find the median, place the scores in order from smallest to largest, then find the middle score:

390, 460, 480, 480, 500, 510, 520, 530, 540, 540, 540, 580, 620, 630, 650, 650

As there is an even number of scores (16), the median is the average (mean) of the two middle scores (highlighed above).

Therefore, the median is 535

The mode is the number that appears the most.

Therefore, the mode is 540.

The mean is the total of the scores divided by how many scores there are.

Mean = (390 + 460 + 480 + 480 + 500 + 510 + 520 + 530 + 540 + 540 + 540 + 580 + 620 + 630 + 650 + 650) ÷ 16

⇒ Mean is 538.75

Answer:

I don't think there is a way the values can be determined...

If a and b are in different triangles then the true option is that values of a and b can't be determined.

A triangle is a two dimensional figure having three sides and three angles.

Sum of angles of a triangle is equal to 180° whether it is a right angled or not.

In first triangle one angle is x°, second is 75° and third one is a° and in second triangle one angle is 60°, second is y°, third one is b°.

Sum of angles in first triangle is x+75+a=180

Sum of angles in second triangle is y+60+b=180

because any relationship between x and y is not given in the questions so values of a and b cannot be determined.

Hence the correct option is D which is that values of a and b cannot be determined.

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Answer:

9 ft tall.

Step-by-step explanation:

The box that is 3 feet tall casts a 6 foot shadow, which is double the height. If we use inverse operations because we start with the shadow we will get 9 feet because 18 divided by 2 is nine.

Answer:
(x,y)
(-5,28)
(-1,4)
(0,-2)
(1,-8)

Step-by-step explanation:

You just have to plug in the values of x into the function rule to get all the values. Hope this helps!

The surface area of the square pyramid is 96 sq. mi.

Given:

side length (s) = 6 mi

slant height (l) = 5 mi

*image of a typical square pyramid is shown in the attachment below.

Recall:

Formula for surface area of square pyramid (SA) = [tex]A+\frac{1}{2}Pl[/tex]

Where,

[tex]A=[/tex] area of the base = [tex]s^2=6^2=36[/tex] sq mi

[tex]P=[/tex] perimeter of the base = [tex]4(s)=4*6=24[/tex]  mi

[tex]l=[/tex] slant height = 5 mi

Plug in the values

[tex]SA=36+\frac{1}{2} *24*5[/tex]

[tex]SA=36+60[/tex]

[tex]SA=96[/tex]

The surface area(SA) of the square pyramid is 96 sq. mi

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Answer:

$341.80

Step-by-step explanation:

Value after 1 year :

Value after 2 years :

Value after 3 years :

Answer:

if 45% of a number ,n, is 225, then 74% of a number ,n,is 370

The true number sentence is the third option:

6.8*1.3 = 8.84

Here we have number sentences of the form:

A*B = C

This is true only when the value of the product A*B is equal to the value of C.

One key thing to identify the correct one is remembering the rule of signs:

(+)*(-) = (-)

(+)*(+) = (+)

(-)*(+) = (-)

(-)*(-) = (+).

The only option that meets that rule is:

6.8*1.3 = 8.84

Where the product of two positive numbers gives another positive number (and the equality is true) so we conclude that this number sentence is true.

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This is a statistics problem involving Group Frequency Distribution Table. See the attached and the details below.

By dividing observations into intervals and tabulating the frequencies for each interval, data can be organized.  A grouped frequency table is the end product.

The intervals in this distribution are referred to as classes.

This is obtained by dividing the sum of the product of all mid points and their frequencies by the total number of observations.

That is Estimated Mean = (f * x)/n ------See the attached sheet.

⇒ 503/50

= 10.06

The median of the 50 observations = 28

This is arrived at by dividing the sum of 25th and the 26th number by 2.

That is (28 + 28)/28=28

This median falls in to the third class -  25-29. Hence, the median group is 25-29.

The estimated median value is computed as follows:

Estimated Median = L + (((n/2)-B)/G) x w

Where :

Inserting the values we have :

L = 25

n = 50

B = 0 + 1  = 1

G = 2

w = 5

Estimated Median = 25 + (((50/2)-1)/2 ) * 5

= 25 + (24/2) * 5

= 85

By observation, the modal group is 30-34. This is because it has the highest frequency of 4.

Hence, the Estimated Mode (EM) is arrived at using the formula:

EM = L + (fₙ-fₙ₋₁)/(fₙ-fₙ₋₁)  +  (fₙ-fₙ₊₁) x w

where:

Note that

L = 30

fn-1 = 2

fn = 4

fn+1 = 3

w = 5

Hence,

EM = 30 + (4-2)/((4-2) + (4-3)) x 5

= 30 + (2/(2+1)) x 5

= 30 + (2/3) x 5

EM =  33.33

In summary,

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The Three quarters the product of two numbers x and y is 3/4 *x* y

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

In elementary algebra, those symbols  represent quantities without fixed values, known as variables.

As, quarters represent 1/4

So, three quarters= 3/4

Let the two number be x and y.

Then , 3 quarters of x and y product be,

=3/4*x*y

= 0.75*x*y

Hence, the expression of given statement is 3/4*x*y.

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Answer:

4/11

Step-by-step explanation:

The chance of getting the sum of any number(2 thought 12) is 1/11

so

9 = 1/11

10 = 1/11

11 = 1/11

12 = 1/11

so, 4/11

Answer:

6

Step-by-step explanation:

Median = (n+1) ÷ 2

Median = total frequency which is 55 + 1 = 56 ÷ 2 = 28th term.

So to find this term you add the frequencies until you get 28 or a number higher than 28.

3+1+10+15 = 29.

We got 29 when we got to the column of shoe size 6. So the Median is in shoe size 6.

Answer:

x i think its the awnser

Step-by-step explanation:

Set the denominator in 1x−4 1 x - 4 equal to 0 to find where the expression is undefined. Add 4 to both sides of the equation. The domain is all values of x that make the expression defined.

Answer:

Step-by-step explanation:

Unknown value is q.

Solve for the unknown value:

Answer:

[tex]q=19\frac{1}{2}[/tex]

Step-by-step explanation:

Step 1:  Subtract 6 from both sides

[tex]6 + q = 25\frac{1}{2}[/tex]

[tex]6 -6 + q = 25\frac{1}{2}-6[/tex]

[tex]q = (25-6)\frac{1}{2}[/tex]

[tex]q=19\frac{1}{2}[/tex]

Answer:  [tex]q=19\frac{1}{2}[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

its 1/8

Step-by-step explanation:

he said 1/3 it does not match the other 2 numbers hope its right ;-; also helpfull

Answer:

A 2/6

Step-by-step explanation:

1/3

x 2/2

2/6