. A certain rectangular prism is
4 inches long, 2 inches wide, and
3 inches high. Sketch the figure
and find its volume.

Answer:

Stepby-step explanation:

The certain number = n

232 = 5n-28

232+ 28 = 5n -28 + 28

260 = 5n

260/5 = 5n/5

52 = n

Answer:

the blue block 'side' is 10

the pink block ' bottom' is 9

the cream 'side' block is 13 (length)

the green back triangle next to the blue side is also 10

and the other side of the green back triangle is 8

Answer:

P=2L+2w

P=2(4.5t+9)+2(7t-4.5)

P=9t+18+14t-9

P=23t+9 feet

Answer:

Margin of Error = 5.4088 ;

Confidence interval = (30.1 ; 40.9)

Interval estimate are almost the same

Step-by-step explanation:

Given that :

Population standard deviation, σ = 9.3

Sample size, n = 8

Xbar = 35.5

Confidence level = 90%

The confidence interval:

Xbar ± Margin of error

Margin of Error = Zcritical * σ/sqrt(n)

Zcritical at 90% = 1.645

Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088

Confidence interval :

Xbar ± Margin of error

35.5 ± 5.4088

Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1

Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9

(30.1 ; 40.9)

T distribution =. (30.5 ; 40.5)

Normal distribution = (30.1, 40.9)

Answer:

Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers

Step-by-step explanation:

The given data is

Sample1 mean = x1` = 289.3

Sample 1 size = n1= 10

Sample 1 std. dev= s1= 22.5

Sample2 mean = x2` = 321.5

Sample 2 size = n2= 16

Sample 2 std. dev= s2= 21

1)Formulate the null and alternate hypothesis as

H0: σ₁=σ₂ against the claim Ha: σ₁ ≠σ₂

2)The test statistic is

t= (x1`- x2`) / √ s1²/n1+ s2²/n2

where degrees of freedom = d.f=

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

3) the significance level chosen is ∝= 0.05

4) Calculating the d.f

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

    = [21²/10 + 22.5²/16] / [(21/²10)² /9 + (22.5²/16)²/15]

= 18

5) the critical region for ∝= 0.05 for 18 d.f =  ±2.101 for two sided test

6) t= (x1`- x2`) / √ s1²/n1+ s2²/n2

t= 289.3- 321.5/√21²/10 + 22.5²/16

t= -32.2/√44.1+31.64

t= -32.2/8.0729

t= -3.9886

7) Conclusion

Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers

Answer:

7 stickers on each page.

Step-by-step explanation:

We start with 62 stickers.

Then we give 6 to the little sister, so we subtract 6 from 62.

62-6=56

Then we divide the remaining 56 stickers evenly across 8 pages.

56/8=7

7 stickers on each page.

Answer:

37.699 cubic inches of water

Step-by-step explanation:

Volume of a cone is V= 1/3 pi r^2 h

We are given that the height is 5 in and the radius is 2 in.

Plug that into the formula: V= 1/3 pi 2^2 9

1/3 x 4 x 9 = 12

Now we are left with 12 pi.

Use a calculator and multiply 12 by pi to get:

37.699

Answer:

2923.34

Step-by-step explanation:

π×r²×h

3.14 ×7 ²×19 2923.34

2923.34

Step-by-step explanation:

the formula for the volume of a cylinder is V = 3.14 × radius squared × h. So 3.14 × 49 × 19 which equals 2924.82

Answer:

A = 82 1/6 in^2 (frac. form)

or

A = 82.17 in^2 (dec. form)

Step-by-step explanation:

A = l*w

A = (14 1/2)(5 2/3)

A = (29/2)(17/3)

A = 82 1/6 in^2 (frac. form)

or

A = 82.17 in^2 (dec. form)

Answer:

x=4.63

Step-by-step explanation:

Area = (1/2) (base) (height)

20 = (1/2) (x+4) (x)

40 = x²+4x

x²+4x-40=0

Put in quadratic equation:

x=[tex]\frac{-4(+/-)\sqrt{4^{2}-4(1)(-40) } }{2(1)}[/tex]

x=[tex]\frac{-4(+/-)\sqrt{176} }{2}[/tex]

x=4.63324958071 or x=-8.63324958071

Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63

Answer:

It's either C or D, I'm thinking C, but I don't know for sure. Sorry for the delay

Answer: 14.2

Step-by-step explanation: Khan Academy

Step-by-step explanation:

(A) you takeway 24 by 2 and add 6=28

Answer:

1845/15=123

Step-by-step explanation:

Step-by-step explanation:

I don't now just paiattention to the problem that willed be more like it thx

Answer:

(2;-2)

Step-by-step explanation:

for more details see the attached picture.

Answer:

It's so sad no one answered saying that they do.

Step-by-step explanation:

Answer:

20.8cm

Step-by-step explanation:

1 meter is 100cm

.022m is 22cm

22cm-1.2cm=20.8cm

Answer: green

Step-by-step explanation:

Answer:

It is already explained in simplest form

Step-by-step explanation:

It can be written as 0.925 in decimal form (rounded to 6 decimal places).

Answer:

4(2 on top) + 3(2 on top) + 2(2 on top)

Step-by-step explanation:

Answer:

c. (x +3)(x + 1)

Step-by-step explanation:

Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,

[tex]x^2 +4x +3[/tex]

Can be represented as the product of the following,

[tex](x+3)(x+1)[/tex]

To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,

[tex](x+3)(x+1)\\[/tex]

Distribute,

[tex](x)(x)+(1)(x)+(3)(x)+(3)(1)[/tex]

Simplify,

[tex]x^2 +x +3x + 3\\[/tex]

[tex]x^2 +4x +3[/tex]

Answer: question 9 COULD be 240 and 12. might be 2880

Step-by-step explanation:

Answer:

10 units squared

Step-by-step explanation:

[tex]4(5)=20[/tex]

[tex]\frac{20}{2}=10[/tex]