Which of the following is equivalent to the expression 1/2x+4x-1/2x+60?

Answer:

answer choice c

Step-by-step explanation:

Answer:

The decision rule is

Reject the null hypothesis

The conclusion is  

There is sufficient evidence to conclude that the  mean size of California homes exceeds the national average

Step-by-step explanation:

From the question we are told that

    The  population  mean is  [tex]\mu = 2390 \ ft^2[/tex]  

    The sample size is  n  =  100

     The sample mean is  [tex]\= x = 2 507 \ ft^2[/tex]

      The standard deviation is  [tex]s = 257 \ ft^2[/tex]

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

The  null  hypothesis is  [tex]H_o : \mu = 2390[/tex]

The  alternative hypothesis is  [tex]H_a : \mu > 2390[/tex]

Generally the test statistics is mathematically represented as

        [tex]z = \frac{ \= x - \mu }{ \frac{s}{ \sqrt{n} } }[/tex]

=>      [tex]z = \frac{2507 - 2390 }{ \frac{ 257 }{ \sqrt{100 } } }[/tex]  

=>      [tex]z = 4.55[/tex]

From the z table  the area under the normal curve to the left corresponding to  4.55  is  

         [tex]p-value = P( X > 4.55 ) = 0.00[/tex]

From the value obtained we see that  [tex]p-value < \alpha[/tex] hence

The decision rule is

Reject the null hypothesis

The conclusion is  

There is sufficient evidence to conclude that the  mean size of California homes exceeds the national average

Answer:

One's age is not independent of one's willingness to wear masks in public.

Step-by-step explanation:

The hypothesis for the study can be defined as follows:

H₀: One's age is independent of one's willingness to wear masks in public.

Hₐ: One's age is not independent of one's willingness to wear masks in public.

It is provided that the test statistic value is, t = 16.5.

And the critical value of the test is, c = 7.82.

t = 16.5 > c = 7.82

Since the  test statistic value is more than the critical value, the null hypothesis will be rejected.

Thus, concluding that one's age is not independent of one's willingness to wear masks in public.

Answer:

tan (pi/35)

Step-by-step explanation:

edge 2020

The expression [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)] as a single trigonometric function will be tan (29π / 35).

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The trigonometric function is given below.

⇒ [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)]

We know that the formula,

tan (a + b) = [tan a - tan b] / [1 + tan a) × tan b]

Then the expression is written as,

⇒ [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)]

⇒ tan [(3π/7) + (2π/5)]

⇒ tan (29π / 35)

The expression [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)] as a single trigonometric function will be tan (29π / 35).

More about the trigonometry link is given below.

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9514 1404 393

Explanation:

The problem statement tells you what to do.

  25^(n-1) +125 -6·5^n = 0 . . . . . subtract 6·5^n

  (5^2)^(n-1) -6·5^n +125 = 0 . . . . express 25 as a power of 5

  5^(2n-2) -6·5^n +125 = 0 . . . . . eliminate the double layer of exponent

  (5^-2)(5^n)^2 -6·5^n +125 = 0 . . . . . use 5^n where possible

  (1/25)y^2 -6y +125 = 0 . . . . . . . substitute y = 5^n

  y^2 -150n +3125 = 0 . . . . . . . . . multiply by 25

_____

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

Answer:

0.1

Step-by-step explanation:

Answer:

94/39 is the correct answer

Answer:

The answer above is correct! A. 94/39

Step-by-step explanation:

E2020!

Answer:

199.49

Step-by-step explanation:

Answer:

199.49

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:6.875

Step-by-step explanation:

In this question, we use the ratio given to complete the table.

Doing this, the completed table is:

3 - 5 - 8

6 - 10 - 16

9 - 15 - 24

12 - 20 - 32

60 - 100 - 160

75 - 125 - 200

In a bag, the ratio of red beads to blue beads is 3∶5.

This means, that for each 3 beads, there are 5 blue beads, and for each 8 beads, there are 3 red and 5 blue.

Third line:

15 blue, the amount of red is 3/5 of this, so:

[tex]\frac{3}{5}(15) = 3(3) = 9[/tex]

Thus, there are 9 red, 9 + 15 = 24, and thus, the third line is:

9 - 15 - 24

Fourth line:

32, 3/8 are red and 5/8 are blue, so:

[tex]\frac{3}{8}(32) = 3(4) = 12[/tex]

[tex]\frac{5}{8}(32) = 5(4) = 20[/tex]

Thus, the fourth line is:

12 - 20 - 32

Fifth line:

100 blue, the amount of red is 3/5 of this, so:

[tex]\frac{3}{5}(100) = 3(20) = 60[/tex]

60 + 100 = 160

Thus, the fifth line is:

60 - 100 - 160

Sixth line:

75 red, the amount of blue is 5/3 of this, so:

[tex]\frac{5}{3}(75) = 5(25) = 125[/tex]

75 + 125 = 200.

Thus, the sixth line is:

75 - 125 - 200

The complete table is:

3 - 5 - 8

6 - 10 - 16

9 - 15 - 24

12 - 20 - 32

60 - 100 - 160

75 - 125 - 200

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The expression (124 × 9) × (1/10 × 1/10) is NOT equivalent to 1.24 × 0.9. which is the correct answer would be an option (D).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

A. (124 × 90) × (1/100 × 1/100) simplifies to 1.24 × 0.9 because 124 × 90 = 11160 and 1/100 × 1/100 = 1/10000, so the expression is equivalent to (11160/10000) × 0.9 = 1.24 × 0.9.

Similarly, expressions B and C can be rearranged as (9 × 1/10) × (0.124 × 10), which is also equivalent to 1.24 × 0.9.

B. (124 × 9) × (1/100 × 1/10) simplifies to 1.24 × 0.9 because 124 × 9 = 1116 and 1/100 × 1/10 = 1/1000, so the expression is equivalent to (1116/1000) × 0.9 = 1.24 × 0.9.

C. (0.124 × 9) × (10 × 1/10) also simplifies to 1.24 × 0.9 because 0.124 × 9 = 1.116 and 10 × 1/10 = 1, so the expression is equivalent to (1.116/1) × 0.9 = 1.24 × 0.9.

However, expression D cannot be rearranged to the form 1.24 × 0.9 because it contains the factors 124 and 90, which are not equivalent to 1.24 and 0.9, respectively.

Therefore, expression D is not equivalent to 1.24 × 0.9.

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Answer:

1.5

Step-by-step explanation:

since 2 cups equals 3 gallons you can divide 3 by 2 and get 1.5. so there are 1.5 cups per gallon hope it helps

This question is incomplete, the complete question is;

Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track runners in the different starting positions. Calculate the chi-square test statistic to test the claim that the number of wins is uniformly distributed (equally likely) across the different starting positions. The results are based on 240 races.

starting position:    1       2      3       4      5       6

Number of wins :  44    33     50    32    45    36

options

a) 15.541

b) 9.326

c) 6.750

d) 12.592

Answer:

the chi-square test statistic is 6.75

Option c) 6.750 is the correct answer

Step-by-step explanation:

Given that;

starting position:    1       2      3       4      5       6

Number of wins :  44    33     50    32    45    36

Given that we have 240 races

Using x² test.

we have to calculate the expected frequency

so

E(1) = 240 × 1/6 = 40

E(2) = 240 × 1/6 = 40

E(3) = 240 × 1/6 = 40

E(4) = 240 × 1/6 = 40

E(5) = 240 × 1/6 = 40

E(6) = 240 × 1/6 = 40

Now we know that,

x²_cal = [∑( Oi - Fi)²] / Fi

so

x²_cal  = (44-40)²/40 + (33-40)²/40 + (50-40)²/40 + (32-40)²/40 + (45-40)²/40 + (35-40)²/40

= 0.4 + 1.225 + 2.5 + 1.6 + 0.625 + 0.4

=  6.75

Therefore the chi-square test statistic is 6.75

Option c) 6.750 is the correct answer

Answer:

its first one

Step-by-step explanation:

37.5/15=2.5

42.5/17=2.5

52.5/21=2.5

Answer:

Option 1 and the bottom right answer.

Step-by-step explanation:

Answer:

While in Ferrara, Josquin wrote some of his most famous compositions, including the austere, Savonarola-influenced Miserere, which became one of the most widely distributed motets of the 16th century; the utterly contrasting, virtuoso motet Virgo salutiferi; and possibly the Missa Hercules Dux Ferrariae, which is ...

Step-by-step explanation:

Answer: (x^2 -6x +10)(x - 2)

All the steps are shown in the picture below:

Answer:

The first 3 choices are:

12, 10, 8

Step-by-step explanation:

n represents a variable, in which you start at 1 and increase by 1.

So, we first start at 1.

12 - 2(1 - 1) = 12 - 2(0) = 12

Now, 2.

12 - 2(2 - 1) = 12 - 2(1) = 10

Now, 3.

12 - 2(3 - 1) = 12 - 2(2) = 8

So, we result in 12, 10, and 8.

#teamtrees #WAP (Water And Plant)

Answer:

B

Step-by-step explanation:

an = 12  - 2(n - 1)

a1 = 12 - 2(0)

a1 = 12

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

a2 = 12 - 2(2 - 1)

a2 = 12 - 2

a2 = 10

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

a3 = 12 - 2(3-1)

a3 = 12 - 2*2

a3 = 8

I think B must be the correct answer. I don't think you can start with n = 0 but the question should qualify that.

Answer:

Step-by-step explanation:

Answer:

21.0 Cubic Units

Step-by-step explanation:

2 times 3.5 = 7

7 times 3 = 21

Answer:

Tan(x)

Step-by-step explanation:

JUST TOOK THE TEST

tan(x) is equivalent to 1/sin2x - cos2x/sin2x. Option a is correct.

To determine equivalent 1/sin2x - cos2x/sin2x.

tan(x) is tangent of x here, tan is trigonometric operator.

Here,
= 1/sin2x - cos2x/sin2x
= (1-cos2x)/sin2x
= (2sin²x)/2sinxcosx
= sin(x)/cos(x)
= tan(x)

Thus, tan(x) is equivalent to 1/sin2x - cos2x/sin2x.

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Answer:

x=5

y=30

y=15

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The solution is, OA. True, A circle could be circumscribed about the quadrilateral below.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

from the given diagram, we get,

the angles of each side = 90 degree

and, as per shape, it is a rectangle.

now, we know that,

If opposite angles of a quadrilateral add to 180 then it is called a cyclic quadrilateral and a circle can be inscribed in it.

now, we get,

Here, the opposite sides are 90 and 90 (=180),

so, we have,

which means that it is true that a circle can be circumscribed about the quadrilateral above.

Hence, The solution is, OA. True, A circle could be circumscribed about the quadrilateral below.

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Picture of the right answers

Hence, the quotient of the rational expression given below is x-3.

How to solve?

To solve the division we will use basic properties of rational numbers here.

The first step is to factor numerator/denominator if possible.

To divide the expressions follow the following steps

1.leave the first fraction as it is

2. Convert division to multiplication

3.Turn the second fraction upside down

([tex]x^{2}[/tex]+5x+6)/x-6 / ([tex]x^{2}[/tex]-9)/2x-12

=([tex]x^{2}[/tex]+5x+6)(2(x-6))/([tex]x^{2}[/tex]-9)(x-6)

=2([tex]x^{2}[/tex]+5x+6)/[tex]x^{2}[/tex]-9

By splitting the quadratic equation into factors we get,

[tex]x^{2}[/tex]+5x+6=(x+2)(x+3)

and using the formula [tex]a^{2}[/tex]-[tex]b^{2}[/tex]=(a-b)(a+b) we get [tex]x^{2}[/tex]-9=(x-3)(x+3)

=2(x+3)(x+2)/(x+3)(x-3)

=2(x+2)/(x-3)

hence, the quotient of the given ration expression is x-3.

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Answer:

A and E

Step-by-step explanation:

um for some reason my answer was deleted…

anyways, I think its A and E because the equation should be g = 2/5t and 0.4 is equal to 2/5 so that means that E is also correct.

Answer:

7 6/18

Step-by-step explanation:

Answer:

3.71851851852

Step-by-step explanation: