A rectangular prism is shown. What is the volume of the rectangular prism? A. 13 in
B. 18 in3
C. 24 in?
D. 72 in3

Answer:

Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%

Step-by-step explanation:

Testing  hypothesis about a population proportion when sample size is large.

If the sample size is large then the variable

z= p^-p / sqrt [pq/n]

is approximately standard normal.

Formulate the hypotheses as

H0 : p < 30%   against the claim Ha: p ≥ 30%

Choose the significance level ∝= 0.05

the critical region is z ≥ 1.645 because the alternative hypothesis is stated on a greater  than or equal to basis.

Computing

Z= 748-(2778*0.3)/ √2778*30/100*70/100

z= 748-833.4/√583.38

z= -85.4/24.153

z=-3.5357

Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%

The p- value is 0.0002

Step-by-step explanation:

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Answer: 3

Step-by-step explanation:

Given

The equation of the circle is [tex]x^2+y^2-4x-6y-k=0[/tex]

Using completing the square method

[tex]\Rightarrow x^2+y^2-4x-6y+4-4+9-9-k=0\\\Rightarrow \left( x^2-4x+4\right)+\left( y^2-6y+9\right)-\left( k+4+9\right)=0\\\Rightarrow \left( x-2\right)^2+\left( y-3\right)^2=\left( k+13\right)[/tex]

on comparing with standard form,  [tex]r^2=k+13[/tex]

Insert the value of r

[tex]\Rightarrow 4^2=k+13\\\Rightarrow k=16-13\\\Rightarrow k=3[/tex]

9514 1404 393

Answer:

  $5.54

Step-by-step explanation:

 8.8% of $63 is ...

  0.088×$63 = $5.544

The tax is rounded to the nearest cent, so you would pay $5.54 in tax.

Answer: 5.54

Step-by-step explanation: khan said it was correct

Answer:

a

Step-by-step explanation:

Answer:

19500000000

Step-by-step explanation:

Answer:

Mean- 18.5

25+20+20+17+15+14=111

111/6=18.5

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The given triangle is a right angled triangle,

therefore, by using trigonometry :

[tex] \boxed{ \cos(45) = \frac{6}{x} }[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

Step-by-step explanation:

perimeter=2(l+w)

26=2(2x-2+10-x)

26=2(x+8)

26/2=x+8

13=x+8

13-8=x

5=x

Answer:

x=5

Step-by-step explanation:

a=2x-2

b=10-x

Formula

2 x(a+b)=26

(2x-2)+(10-x)=26/2

2x-x-2+10=13

x+8=13

x=13-8

x=5

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

c because -t=-r/-s equals -t=r/s

Answer:

67 minutes

Step-by-step explanation:

9514 1404 393

Answer:

  c.  1150 square units

Step-by-step explanation:

The sum of the two side lengths is half the perimeter, so is 125/2 = 62.5 units. The long side is 4/5 of that, so is 50 units.

The area is the product of the long side and the height to the long side:

  A = bh

  A = (50 units)(23 units) = 1150 units²

__

Additional comment

This geometry is impossible, because the height from the long side cannot be more than the length of the short side. Here, the short side is 12.5 units, so it is not possible for the height to be 23 units.

If the height is measured from the short side, then the area is 287.5 square units.

Answer:

A

Step-by-step explanation:

B IS WRONG

C IS WRONG

Hence, the approximate length of the ladder​ is [tex]12ft[/tex].

What is the approximation value?

An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.

A calculation can be approximated by rounding the values within it before performing the operations.

Here given that,

[tex](x)^2=(11.5)^2+(3.5)^2\\X^2=132.25+12.25\\X^2=144.5 \\X=\sqrt{144.5}\\X=12 feet[/tex]

Hence, the approximate length of the ladder​ is [tex]12ft[/tex].

To know more about the approximation value

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Answer:

1/4 of a circle is less

Step-by-step explanation:

1/4=90°

1/3=120°

Answer:

It's 8%

Step-by-step explanation:

3.20 divided by 40 = 0.08

0.08 = 8% therefore $3.20 divided by $40.00 = 8% sales tax

Answer:

3/2 X 1/4 +1/2

Step-by-step explanation:

Try using that to work out the answer.

The measure of the trigonometric relations is tan θ = -1 when the reference angle θ = 315°

Every angle is measured from the positive part of the x-axis to its terminal line (the line that determines the end of the angle) traveling counterclockwise. For angles in the first quadrant, i.e., angles less than or equal to 90 degrees, the reference angle is equal to the original angle.

The reference angle is always positive

0° to 90°: reference angle = angle

90° to 180°: reference angle = 180° - angle

180° to 270°: reference angle = angle - 180°

270° to 360°: reference angle = 360° - angle

Given data ,

Let the reference angle be represented as R

Now , the value of R is R = 315°

And , the measure of angle θ = 7π/4

The reference angle θ = 315°

So , the value of tan ( 315 )° = -1

Hence , the trigonometric value tan ( 7π/4 ) = -1

To learn more about reference angle click :

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The complete question is attached below :

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). 7 The measure of angle Ois 4. The measure of its reference angle is °, and tan is​

Possible asks from the question?!

Answer:

43.3

Step-by-step explanation:

45-5=40,

0.0825*40=3.3

40+3.3=43.3

Answer:

Mo is correct because when you divide 66.25 from both sides it is 12.

Step-by-step explanation:

Answer:

$6000

Step-by-step explanation:

hope it helps correct me if i am wrong

Answer:

8b = 96

Step-by-step explanation:

Answer:

I plotted points since i cant draw lines very well with a mouse

Step-by-step explanation:

Answer:

(-1,1); (-4,1); (-4,3)

Step-by-step explanation:

You are going to move it to the left. The point closest to the y-axis (1,1) will now be (-1,1). The point all the way to the right on the bottom will be (-4,1) and the top right point will be (-4,3). Hope this helps!

Answer:

[tex]x=80^{\circ},\\y=80^{\circ}[/tex]

Step-by-step explanation:

The measure of an angle formed by a secant and a tangent outside of a circle is half of the absolute difference between the two arcs it forms. Therefore, we have the following equation:

[tex]m\angle A=\frac{\widehat{BC}-\widehat{BD}}{2}[/tex]

Substituting given values, we get:

[tex]20=\frac{120-x}{2},\\40=120-x,\\x=\boxed{80^{\circ}}[/tex]

Since there are 360 degrees in a circle, we can write the following equation, using [tex]x[/tex], to solve for [tex]\widehat{DC}[/tex]:

[tex]x+\widehat{DC}+120=360,\\80+\widehat{DC}+120=360,\\\widehat{DC}=\boxed{160^{\circ}}[/tex]

The value of the angle formed by a chord and a tangent is half the measure of the arc it forms. Therefore,

[tex]y=\frac{\widehat{DC}}{2}=\frac{160}{2}=\boxed{80^{\circ}}[/tex]

Answer:

m = undefined

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (-3, 0)

Point (-3, 11)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

∴ We have a vertical line at x = -3.

Answer:

28.6 units

Step-by-step explanation:

44/36=35/YZ

44 YZ = 35*36

44 YZ = 1260

YZ = 28.6 units

Answer:

b=2.5-7.50

Step-by-step explanation: so 5 party hats cost 50 cents, so times that by 5 to get 2.50, and then use the 7.50 and minus it.