How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?

Answer:

108 square metres

Step-by-step explanation:

A=√d square - l square

here

A = area

d= diagonal

l= length

Answer

13

Step-by-step explanation:

We are essentially being asked to find f(10), so let's evaluate this function at 10 by plugging this in for x.

f(10)=10/2+8=5+8=13

Answer:

f(x) = 40

Step-by-step explanation:

f(x) = x / 2 * 8

x = 10

f(x) = (10 / 2) * 8

     = 5 * 8

     = 40

Answer:

-28

Step-by-step explanation:

if c = 3 and x = -5 than,

-c + 5x = -3 + 5 * (-5) = -3 + (-25) = - 28

Answer:

Table B

Step-by-step explanation:

correct on edge :)

Answer:

Just Between Friends

The percentage of consignors who receive a check for more than $370 is:

= 16%.

Step-by-step explanation:

Mean of consignor check, μ = $480

Standard deviation, σ = $110

Value of check received, x > $370

Solution: find the z-score to determine the percentage of consignors who receive a check for more than $370:

z = (x-μ)/σ

z= ($370 - $480)/$110

z = -$110/$110

z = -1.00

Percentage of consignors who receive a check for more than $370

= 0.15866

= 0.16

= 16%

Answer:

b

Step-by-step explanation:

thbte

Answer:

[tex]A"B" = \frac{AB}{2}[/tex]

Step-by-step explanation:

Given

[tex]k = \frac{1}{2}[/tex] --- scale factor

Required

Relationship between AB and A"B"

[tex]k = \frac{1}{2}[/tex] implies that the sides of A"B"C" are smaller than ABC

i.e.

[tex]A"B" = k * AB[/tex]

[tex]A"B" = \frac{1}{2} * AB[/tex]

This gives:

[tex]A"B" = \frac{AB}{2}[/tex]

Answer:

0.5759

Step-by-step explanation:

Answer:

0.0337 = 3.37% probability of finding two defects.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

What is the probability of finding two defects in a Binomial distribution, with a sample size of 30, and probability of 0.2?

This is [tex]P(X = 2)[/tex], with [tex]n = 30[/tex] and [tex]p = 0.2[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 30) = C_{30,2}.(0.2)^{2}.(0.8)^{28} = 0.0337[/tex]

0.0337 = 3.37% probability of finding two defects.

Answer:

Option A, 7b

Step-by-step explanation:

a/b=7/2

or, 2a=7b

Answered by GAUTHMATH

Answer:

A)7b

its yr ans.

hope it helps.

Answer:

(b)

Step-by-step explanation:

Given

[tex]8x + 3y = 24[/tex]

Required

The graph

First, make y the subject

[tex]3y = 24 - 8x[/tex]

Divide through by 3

[tex]y = 8 - \frac{8}{3}x[/tex]

Let x = 3

[tex]y = 8 - \frac{8}{3}*3 = 8 - 8 = 0[/tex]

Let x = 6

[tex]y = 8 - \frac{8}{3}*6 = 8 - 16 = -8[/tex]

So, we plot the graph through

[tex](3,0)[/tex] and [tex](6,-8)[/tex]

See attachment for graph

Answer:

1/6 < 2/11

Step-by-step explanation:

1/6 = 2/12

2/11 >2/12

So that means 1/6 < 2/11

Answer:  1/6 < 2/11

This is the same as saying 11/66 < 12/66

===========================================================

Explanation:

1/6 is the same as 11/66 when multiplying top and bottom by 11.

2/11 is the same as 12/66 when multiplying top and bottom by 6.

The 6 and 11 multipliers are from the original denominators (just swapped).

We can see that 11/66 is smaller than 12/66, simply because 11 < 12, so that means 1/6 is smaller than 2/11

-----------------

Here's one way you could list out the steps

11 < 12

11/66 < 12/66

1/6 < 2/11

------------------

Here's another way to list out the steps. First assume that 1/6 and 2/11 are equal. Cross multiplication then leads to

1/6 = 2/11

1*11 = 6*2

11 = 12

Which is false. But we can fix this by replacing every equal sign with a less than sign

1/6 < 2/11

1*11 < 6*2

11 < 12

---------------------

Yet another way to see which is smaller is to use your calculator or long division to find the decimal form of each value

1/6 = 0.1667 approximately

2/11 = 0.1818 approximately

We see that 0.1667 is smaller than 0.1818, which must mean 1/6 is smaller than 2/11.

The cost of the cereal if the grocery store buys 250 boxes is $475

Functions are written in terms of variables. If the cost function that represents the cereal is given as C(n), the equivalent expression if the grocery store buys 250 boxes is 1.9n

Substitute n = 250 into the function to have:

C(250) = 1.9(250)

C(250) = $475

Hence the cost of the cereal if the grocery store buys 250 boxes is $475

Learn more on cost function here: https://brainly.com/question/25109150

#SPJ1

Answer:

I think the answer is 12:16 because my brother told me

Step-by-step explanation:

I dont know the answer my brother told me this answer. HOPE THIS HELPS

Answer:

There is no significant evidence to support the claim that college women have more credit card debt than college men

Step-by-step explanation:

Given :

women n1 =32 x1= 781 s1 = 1489 men n2 = 38 x2 = 435 s2 = 1026

H0 : μ1 = μ2

H0 : μ1 > μ2

Assume unequal variance :

The test statistic :

(x1 - x2) / √(s1²/n1) + (s2²/n2)

T= (781 - 435) / √(1489²/32) + (1026²/38)

T = 346 / 311.42740

Test statistic = 1.111

Degree of freedom, df

(s1²/n1+s2²/n2)²÷1/(n1-1)*(s1²/n1)²+1/(n2-1)*(s2²/n2)²

The Pvalue :

(s1²/n1+s2²/n2)² = ((1489²/32) + (1026²/38))² = 9406484230.6884765625

1/(n1-1)*(s1²/n1)²+1/(n2-1)*(s2²/n2)²:

1/31(1489^2/32)^2 + 1/37(1026^2/38)^2 = 1.755926E8

df = 9406484230.6884765625 / 1.755926E8 = 53.569

df = 54

The Pvalue, from t score ;

Pvalue(1.111, 54) = 0.136

Pvalue > α ; Hence, we fail to reject the null ; There is no significant evidence to support the claim that college women have more credit card debt than college men

Answer: 12

Step-by-step explanation: Whenever you have a minus a negative in a problem, you can change it to plus a positive.

So we can think of 7 - (-5) as 7 + (+5).

Whenever we have two negatives in a row, we can think of those

negatives as being multiplied together and a negative times a negative

will always result in a positive.

So just add 7 + 5 to get 12.

Answer:  1/ 233856 chance changed to 233856  x 2 = 467712

= 1 / 467712 chance as there are 2 drawings

Workings;

1 and 65 = 64

1 and 65 - 1 ball drawn = 63

1 and 60 -1 = 58

1/64 x 1/63 x 1/58 = 233856

1/4032 x 1/58 and to make these the same we 4038/58 =  69.62

then convert properly = 1/4032  x 69.62/4032 4032 x 4032 = 69.62/16257024 then 16257024/69.62 =233510.83

= 233511 chance if rounding before

1/ (233511 x 2) = 1/467022

Then one part is our actual probability

P) = 1/233856

But as they specified a special drawing

you need to repeat this as 64 x 63 x 58 x 2 as the last one cannot be in 1 drawing it has to be in 2nd drawing

233856  x 2 = 467712

= 1 / 467712 chance not rounding down before hand.

Answer:

B

Step-by-step explanation:

B is the only one that doesnt share x-values

Answer:

D. <S, <R, <T

Step-by-step explanation:

Recall: On a triangle, the bigger an angle measure the longer the side opposite it and vice versa.

In ∆RST,

The longest side, SR = 22, is opposite to <T

Therefore, <T is the biggest angle.

Medium side, ST = 21, is opposite to <R, therefore,

<R is the medium angle measure

The smallest angle measure <S is opposite to the shortest side, RT.

Angels I'm order form the smallest to largest will be:

<S, <R, <T

Answer:

z> -2

Step-by-step explanation:

STEP 1) Any expression divided by itself equals 1

-3z-1<5

STEP 2) Move the constant to the right-hand side and change its sign

-3z<5+1

STEP 3) Add the numbers

5+1= 6

-3z<6

STEP 4) Divide both sides of the inequality by -3 and flip the inequality sign

z>-2

s hard and too long I'm only of class 13

Answer:

a

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Answer:

[tex]{ \tt{ \frac{819}{13} = \frac{441}{h} }} \\ { \tt{h = \frac{(441 \times 13)}{819} }} \\ h = 7 \: hours[/tex]

Answer:

x=3 y=5

Step-by-step explanation:

it's simultaneous equations so you first try matching the x or the y on both equations

on the first equation the ys are matching so:

4x+y=17

2x+y=11

2x=6

x=3

now that you have x you substitute it back into the equation to get y

6+y=11

-6 -6

y=5

Answer:

(3,5)

(3,2)

(7,0)

(8,1)

Step-by-step explanation:

1.)

Subtract the two equations

(4x+y)-(2x+y)=17-11

2x=6

x=3

plug this into the first equation

4(3)+y=17

y=5

2.) we need one set of the same variable's coefficents to match (so that when we add/subtract the two equations a variable cancels out). To do this multiply the first equation by 1.5

1.5(3x+2y)=13*1.5

4.5x+3y=19.5

Subtract the second equation

(4.5x+3y)-(2x+3y)=19.5-12

2.5x=7.5

x=3

plug this into the first equation

3(3)+2y=13

2y=4

y=2

3.)

Mulitply the first equation by 3

3(x-2y)=7*3

3x-6y=21

subtract this and the second equation

(3x-6y)-(3x+y)=21-21

-7y=0

y=0

plug this into the first equation

x-2(0)=7

x=7

3.)

add the two equations

(x+5y)+(x-5y)=13+3

2x=16

x=8

plug this into the first equation

8+5y=13

5y=5

y=1