Rewrite this number in appropriate scientific notation of 4,770,000

Answer:

What's the question, what are you meant to find??

Answer:

a

   The  null hypothesis is  [tex]H_o : p = 0.75[/tex]

  The  alternative  hypothesis is  [tex]H_a : p \ne 0.75[/tex]

b

   [tex]t = 2.51[/tex]

c

   [tex]p-value = 0.01207[/tex]

d

 There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

Step-by-step explanation:

From the question we are told that

    The  sample  size is  [tex]n = 745[/tex]

     The  number that said it is morally wrong is  [tex]k = 589[/tex]

       The  level of significance is  [tex]\alpha = 0.01[/tex]

        The population proportion is [tex]p = 0.75[/tex]

Generally the sample  proportion is mathematically represented as

        [tex]\r p = \frac{k}{n}[/tex]

=>     [tex]\r p = \frac{589}{745}[/tex]

=>     [tex]\r p = 0.79[/tex]

 The  null hypothesis is  [tex]H_o : p = 0.75[/tex]

  The  alternative  hypothesis is  [tex]H_a : p \ne 0.75[/tex]

The  standard error is mathematically represented as

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

=>    [tex]SE = \sqrt{\frac{0.75(1-0.75)}{745} }[/tex]

=>    [tex]SE =0.0159[/tex]

Generally the test statistics is mathematically represented as

      [tex]t = \frac{\r p - p }{SE}[/tex]

=>   [tex]t = \frac{0.79 - 0.75 }{0.0159}[/tex]

=>    [tex]t = 2.51[/tex]

Generally the p-value is  mathematically represented as

        [tex]p-value = 2 * P(Z > 2.51)[/tex]

From the the z-table  

            [tex]P(Z > 2.51) = 0.0060366[/tex]

=>   [tex]p-value = 2 * 0.0060366[/tex]

=>   [tex]p-value = 0.01207[/tex]

From the calculation  [tex]p-value >\alpha[/tex]

    Hence we fail to reject the null hypothesis

Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

Answer:

[tex] \sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4} [/tex]

Step-by-step explanation:

[tex] \because \: x = 4 \tan \theta \\ \therefore\frac{x}{4} = \tan \theta....(1) \\ \\ \because \: { \sec}^{2} \theta = 1 + { \tan}^{2} \theta \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \tan}^{2} \theta } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \bigg( \frac{x}{4} \bigg)}^{2} } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \frac{x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm\sqrt{{ \frac{16 + x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4} [/tex]

Answer:

SOHCAHTOA.

We are to use SOH in this question because we have the opposite which is 15 and the hypotenuse which is 17.

which will be Sin theta =15/17.

Sin theta =0.8823~1.

then Sin theta =1.

which is theta = (inverse of sin) sin^-1(1).

theta =90°.

Answer:x = theta =90°.

Step-by-step explanation:

Answer:

400%

Step-by-step explanation:

20-16=4

4*100%=400%

Answer:

Step-by-step explanation:

[tex]10 + 5 - 6.10 + 6.5 \times 6 \\ [/tex]

Follow PEDMAS

[tex]10 + 5 - 6.10 + 39[/tex]

[tex]15 - 6.10 + 39 \\ 15 + 39 - 6.10 \\ 54 - 6.10 \\ = 47.9[/tex]

Answer:

Step-by-step explanation:

-10m + 35 + 5 = 120

-10m + 40 = 120

-10m = 80

m = -8

Step-by-step explanation:

Given:

h=7in

w=9in

l=6in

Required:

v=?

Formula:

v=l*w*h

Solution:

v=l*w*h

v=6in*9in*7in

v=54in^2*7in

v=378in^3

Hope this helps ;) ❤❤❤

Answer:

Nicole drove 66 miles.

Step-by-step explanation:

You can set of an equation of 45 - x = 111 x representing the amount of miles Nicole drove. You would subtract 45 from both 45 and 111 and get that x = 66.

Answer:

45 are pink 55 are not pink

Step-by-step explanation:

a) The number of pink seashells is A = 45

b) The number of seashells that are not pink = 55

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the total number of seashells be = 100

Let the percentage of the seashells that are pink = 45 %

If 45% of the 100 seashells are pink, then the remaining 55% must be not pink. We can find the number of pink shells by multiplying 100 by 45%:

Number of pink shells = 100 x 0.45 = 45

To find the number of shells that are not pink, we can subtract the number of pink shells from the total number of shells:

Number of shells not pink = 100 - 45 = 55

Hence , there are 55 seashells that are not pink and 45 seashells that are pink.

To learn more about percentage click :

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Answer:

11.70

Step-by-step explanation:

Answer: 17.92

Step-by-step explanation:

32% of 56  

Change to fraction

32 /100 x 56

Change to decimal

0.32 x 56

= 17.92

Answer:

Angle one is a angle of depression

Step-by-step explanation:

Answer: 4.485

Step-by-step explanation:

We need to find the number between [tex]\dfrac {17}{4}[/tex] and [tex]\sqrt{20}[/tex].

For this , we first simplify the above numbers.

[tex]\dfrac{17}{4}= 4.25[/tex]  [divide 17 by 4]

[tex]\sqrt{20}=\sqrt{4\times5}=2\sqrt{5}= 2(2.236)=4.472[/tex]   [ [tex]\sqrt{5}=2.236[/tex] ]

Now, Midpoint of  4.25 and 4.472 = [tex]\dfrac{4.25+4.72}{2}=\dfrac{8.97}{2}=4.485[/tex]

Number between 4.25 and 4.472 =4.485

Or number between [tex]\dfrac {17}{4}[/tex] and [tex]\sqrt{20}[/tex] is 4.485.

Answer:

irational number, non-repeating

Answer:

Exact Form: − 29 30 Decimal Form: − 0.9 ¯ 6

Hoped I helped

Answer:

2x + 2y = 24

Step-by-step explanation:

You have to isolate y and then use substitution.

x + y = 12       and         y = x - 1        

-x       -x          

y = -x + 12       and         y = x - 1

-x + 12 = x - 1

+x          +x

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

12 = 2x - 1

+1          +1

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

13 = 2x

2x = 13              [ divide both sides by 2]

x = 6.5

Now, you have to plug x (6.5) into y = x - 1.

y = x - 1

y = 6.5 - 1

y = 5.5

Finally, plug both x (6.5) and y (5.5) into 2x + 2y.

2x + 2y

= 2 (6.5) + 2 (5.5)

= 13 + 11

= 24

MUN = {6, 7, 8, 9, 10}

Step-by-step explanation:

M={ }

N = {6, 7, 8, 9, 10)

MUN = {6, 7, 8, 9, 10} .. (because A∪∅=A)

Answer: The distance would be, (3, 4)

Answer:

(Weight (lb), Price ($) ) = (0.45,2.3)

That means :

1) So, if we want to find the price per pound, we'll divide 2.3 by 0.45:

=> [tex]\frac{\$ 2.3}{0.45 \ lb}[/tex] [True]

2) Second Statement: [False]

The weight of every 0.45 lb of bag is 2.3 pounds not for per bag.

3) Third Statement: [False]

2.3 pounds of almonds cost $0.45

This is incorrect according to the graph.

4) Fourth Statement: [False]

Almonds cost $0.45 per pound

Let's check it out

0.45 lb = $2.3

Dividing both sides by 0.45

1 lb = $5.11

It is not $4.5

5) Fifth Statement: [True]

0.45 pounds of almond costs $2.30

For every 0.45 pounds, there are $2.30 . So, this statement is true!

Answer:

D. y= -3x+ 5

Step-by-step explanation:

[tex]12x + 4y = 20[/tex]

Move 12x to the right and change its sign

[tex]4y =20-12x[/tex]

Divide through by 4

[tex]\frac{4y}{4} = \frac{20}{4} -\frac{12x}{4} \\\\Simplify\\y = 5-3x\\y =-3x+5[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{y = - 3x + 5}}}}}[/tex]

Option D is the correct option.

Step-by-step explanation:

[tex] \sf{12x + 4y = 20}[/tex]

Move 12x to right hand side and change it's sign

⇒[tex] \sf{4y = - 12x + 20}[/tex]

Divide both sides of the equation by 4

⇒[tex] \sf{ \frac{4y}{y} = \frac{ - 12x + 20}{4} }[/tex]

⇒[tex] \sf{y = \frac{ - 12x}{4} + \frac{20}{4} }[/tex]

Divide -12x by 4 . Also divide 20 by 4

⇒[tex] \sf{y = - 3x + 5}[/tex]

Hope I helped!

Best regards!! :D

Answer:

A = 24 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (12)*4

A = 24 cm^2

Answer:

1/2bh.

1/2×12×4= 1/2×48.

=24cm^2

Answer:

none

Step-by-step explanation:

no x because (y-3)=14 so the x wouldnt repeat

Answer:

y = 5

Step-by-step explanation:

-7(y-3)= -14

Divide each side by -7

-7/-7(y-3)= -14/-7

y-3 = 2

Add 3 to each side

y-3+3 = 2+3

y = 5

Answer:

The  correct option is  false

Step-by-step explanation:

Generally the Central Limit Theorem tells us that the sample means will be normally distributed with sufficiently large sample size( i.e [tex]n \ge 30[/tex] ) regardless of the shape of the population distribution.

But the question states that the mean is normally distributed if the sample size is  5  or  more which is  false hence the statement is false

Answer:

Relative frequency

Step-by-step explanation:

In a    relative frequency distribution, the frequency of a class is replaced with a proportion or percent.

A relative frequency distribution displays how the proportion of totality of the observations related to each class is correlated to the probability distribution. A relative frequency distribution shows the proportion of times a value occurs in each class. It can be determined by the division of the frequency with the total number of data values.

Answer:

  4/9 cubic units

Step-by-step explanation:

The volume of a rectangular prism is the product of its edge lengths:

  V = LWH

  V = (1/2)(2/3)(4/3) = (1·2·4)/(2·3·3) = 4/9 . . . . cubic units

Answer:

x+10

Step-by-step explanation: