What is the volume of this rectangular prism?

Answer:

a) We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:[tex]p=0.35[/tex]  

Alternative hypothesis:[tex]p \neq 0.35[/tex]  

And is a two tailed test

b) [tex]z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326[/tex]  

c) [tex]p_v =2*P(z<-1.326)=0.184[/tex]  

d) Null hypothesis:[tex]p=0.35[/tex]  

e) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

Step-by-step explanation:

Information provided

n=1562 represent the random sample selected

X=522 represent the people who have heard of a new electronic reader

[tex]\hat p=\frac{522}{1562}=0.334[/tex] estimated proportion of people who have heard of a new electronic reader

[tex]p_o=0.35[/tex] is the value to verify

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

Part a

We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:[tex]p=0.35[/tex]  

Alternative hypothesis:[tex]p \neq 0.35[/tex]  

And is a two tailed test

Part b

The statistic for this case is given :

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326[/tex]  

Part c

We can calculate the p value using the laternative hypothesis with the following probability:

[tex]p_v =2*P(z<-1.326)=0.184[/tex]  

Part d

The null hypothesis for this case would be:

Null hypothesis:[tex]p=0.35[/tex]  

Part e

The best conclusion for this case would be:

Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

Answer:

  3.3 ft

Step-by-step explanation:

Side NO is opposite the angle M, so the applicable trig relation is ...

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse×Sin

  NO = MN×sin(39°) = (5.3 ft)sin(39°)

  NO ≈ 3.3 ft

Answer:

A square is always a rhombus.

Explanation:

A square has 4 sides of equal length.

Answer:

Answer:

555 minutes

Step-by-step explanation:

Answer to the perimeter

2 x (5 + 13)

Answer:

2 x (5+13)

Step-by-step explanation:

To find the perimeter of a rectangle you must add all the side lengths. For the rectangle that is displayed, there are 2 sides that measure 13 cm and two that measure 5 cm. Therefore, you should get your answer by adding the 5 cm and the 13 cm, then, multiply the solution by 2 to get your answer.

Step-by-step explanation:

Marco bought 10 gifts = 11. 50

If 5 bracelets = 1.50 x 5 = 7.5

4 stickers = 4 x 1 = 4

So total cost = 7.5 + 4 = 11.5

Answer:

1/3

Step-by-step explanation:

4 fish, 1 cat,2 dogs,and 2 birds = 9

dogs or 4 legged = cats and dogs = 1+2 = 3

P(dog or 4 legged) = number of dogs or 4 legged / total

                                 =3/9

                                =1/3

Answer:

⅓

Step-by-step explanation:

Total pets:

4+1+2+2 = 9

Dog or four legged pets: 2 + 1 = 3

Probability: 3/9 = 1/3

Answer:

you don`t have the answer choices

Step-by-step explanation:

Answer:

122.6 min

Step-by-step explanation:

3 miles = 28 min

13.1 miles=x

28min x 13.1 miles=366.8/3=122.6 min

Answer:

122mins

Step-by-step explanation:

3 miles take 28mins

Therefore the pace refers to the speed of travel and is 3/28

The new time of travel = distance /speed

= 13.1 / 3/28

=13.1 * 28 /3

=122.27

=122minutes

Answer: 5/13

Step-by-step explanation:

Answer:

5/13 is in simplest form, because it cannot be reduced any further.

Step-by-step explanation: 4/20 can be reduced to 1/5, 6/9 to 1/3, and 14/21 can be reduced to 2/3

Answer:

[tex]y=6,850x - 13,456,500[/tex]

Step-by-step explanation:

To find the linear model, we need to find a linear equation, where its slope is defined as

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

So, we use the given points (1970, 38000) and (1990, 175000), to find the slope

[tex]m=\frac{175,000-38,000}{1990-1970}=\frac{137,000}{20} =6,850[/tex]

Now, we use the point-slope formula to find the equation

[tex]y-y_{1} =m(x-x_{1} )\\y-38000=6850(x-1970)\\y=6850x-13,494,500+38,000\\y=6,850x - 13,456,500[/tex]

Therefore, the linear model is

[tex]y=6,850x - 13,456,500[/tex]

Answer:

Simplified expression: x^18 - x^12 + x^6

Step-by-step explanation:

1. Let us write down the question at hand, firstly: x^24 - x^18 + x^12/ x^6

2. Let us factor equation x^24 - x^18 + x^12/ x^6 ⇒ x^12(x^12 - x^6 + 1)/ x^6

3. Now apply exponential rules to get x^6 to the numerator:

x^12 - 6(x^12 - x^6 + 1)

4. Simplify this expression to be ⇒ x^6(x^12 - x^6 + 1)

5. And further simplify this expression by distributing the x^6:

Answer: x^18 - x^12 + x^6

Answer:

A.

Step-by-step explanation:

First 1 and 8 are congruent as corresponding angles and since angle 5 and 8 form a linear pair so angle 1 and 5 also add up to 180

Answer:

First one:

56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths

Step-by-step explanation:

7 × 8⅘

7(8) + 7(4/5)

56 + 28/5

56 + 5 + 3/5

61 3/5

Answer:

its A

Step-by-step explanation:

56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths

and pls mark me as brainliest if this is correct! :D

Answer:

129.3

Step-by-step explanation:

You have to find the number in the middle of all of the heights and multiply them by the all of the frequency (122x7 etc). When you have those answers, add them together and divide the answer by 40.

Answer:

y = 3/2

Step-by-step explanation:

Answer:

x=4y-6  

Geometric figure: Straight Line

 Slope = 0.500/2.000 = 0.250

 x-intercept = -6/1 = -6.00000

 y-intercept = 6/4 = 3/2 = 1.50000

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x-(4*y-6)=0  

Step by step solution :

Step  1  :

Equation of a Straight Line

1.1     Solve   x-4y+6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-4y+6  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/2 so this line "cuts" the y axis at y= 1.50000

 y-intercept = 6/4 = 3/2  =  1.50000  

Calculate the X-Intercept :

When y = 0 the value of x is -6/1 Our line therefore "cuts" the x axis at x=-6.00000

 x-intercept = -6/1  = -6.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.500 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 1.500 = 0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.500/2.000 =  0.250  

Geometric figure: Straight Line

 Slope = 0.500/2.000 = 0.250

 x-intercept = -6/1 = -6.00000

 y-intercept = 6/4 = 3/2 = 1.50000

Step-by-step explanation:

Answer:

Histogram

Step-by-step explanation:

Answer:

a Bar graph

Step-by-step explanation:

i did the test

Answer:

Yes

Step-by-step explanation:

If F(x)= log base 5 of x, then yes, it is increasing.

Answer: True

Step-by-step explanation: Got it correct on a-p-e-x

Answer:

true

Step-by-step explanation:

.

Answer:

a. 17  b. 16/24

Step-by-step explanation:

a. Find the midpoints of each class interval which is:

7.5 x 2 = 15

12.5 x 9 = 112.5

17.5 x 5 = 87.5

22.5 x 5 = 112.5

27.5 x 3 = 82.5

Add all of these up to give 410

Add up the total of the frequency column which is 24

410 / 24 = 17.0833.....

Rounded to 2 significant figures, the answer is 17

b. Add together all the people under 20 which totals to 16 and put this over the total of 24 to give the fraction 16/24

The estimated mean time it took the students and the fraction of students who finished in less than 20 minutes is 17 and 2/3 respectively.

The mean of a grouped distribution can be written as :

Let's calculate the midpoint :

Midpoint = (Lower + Upper boundary) / 2

X ____ F __ FX

7.5 ___2 __ 15

12.5__ 9 __ 112.5

17.5 __ 5 __ 87.5

22.5 _ 5 __ 112.5

27.5 __3 __ 82.5

_____24 __410

The mean of the distribution = 410 ÷ 24 = 17.08 = 17 minutes

2.) Fraction of students that finished in less than 20 minutes :

Number of students who finished in less than 20 minutes = (2 + 9 + 5) = 16

Total number of students = 20

Fraction that finished in less than 20 minutes = 16/24 = 2/3

Therefore, 2/3 of the students finished in less than 20 minutes.

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Answer:

explain

Step-by-step explanation:

Answer:

vertex(-6,-3)

Step-by-step explanation:

x^2+12+36-36+26

(x+6)^2-10

v=(-6,-10)

Answer:

a)95%  confidence intervals for the population mean of light bulbs in this batch

(325.5 ,374.5)

b)

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

Step-by-step explanation:

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

The tabulated value Z₀.₉₅ = 1.96

95%  confidence intervals for the population mean of light bulbs in this batch

[tex](x^{-} - Z_{\frac{\alpha }{2} } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\frac{\alpha }{2} }\frac{S.D}{\sqrt{n} } )[/tex]

[tex](350 - 1.96\frac{100}{\sqrt{64} } , 350 + 1.96\frac{100}{\sqrt{64} } )[/tex]

[tex](350 -24.5, 350 +24.5)[/tex]

(325.5 ,374.5)

b)

Explanation:-

Given mean of the Population μ = 400

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

Null hypothesis : H₀:The manufacturer has right to take the average life of the light bulbs is 400 hours.

μ = 400

Alternative Hypothesis: H₁: μ ≠400

The test statistic

[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

[tex]Z = \frac{350 -400}{\frac{100}{\sqrt{64} } }[/tex]

|Z| = |-4|

The tabulated value   Z₀.₉₅ = 1.96

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected.

Conclusion:-

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

The expression evaluates to 5.

To evaluate the expression:

2 - (-4) + 3 + (-6) - (-2)

We can simplify it step by step:

First, we simplify the double negatives:

2 + 4 + 3 + (-6) + 2

Next, we combine like terms:

(2 + 4 + 3 + 2) - 6

Now, we perform addition:

11 - 6 = 5

Therefore, the expression evaluates to 5.

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Answer:

There are two qestions that both have different answers. Here are both of them. One is B one is A

Step-by-step explanation:

Answer:

A on Edge 2023

Step-by-step explanation:

Answer:

1,043,568

Step-by-step explanation:

Multiply.

173,928

x.        6

_______

1043568

Answer:

12/48=1/4(Simplified)

Step-by-step explanation:

The probability that Kitzen’s name will be drawn twice is 1/23.

"The probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes".

For the given situation,

The table shows the number of students and the number of raffle tickets.

Kitzen's number of raffle tickets = 12

Ava's number of raffle tickets = 16

Sam's number of raffle tickets = 11

Josie's number of raffle tickets = 9

The event is that the Kitzen’s name will be drawn twice, n(e) = 2(12)

The total number of raffle tickets, n(s) = 48

Thus the probability that Kitzen’s name will be drawn twice,

[tex]P(e)=\frac{n(e)}{n(s)}[/tex]

⇒ [tex]P(e)=\frac{2(12)}{48}[/tex]

⇒ [tex]P(e)= \frac{1}{2}[/tex]

Hence we can conclude that the probability that Kitzen’s name will be drawn twice is 1/23.

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Answer:

84 bih

Step-by-step explanation:

Answer:

$9

Step-by-step explanation:

Answer:

9$

Step-by-step explanation: