solve the formula V=3/4 LWH for W

Answer:

The value is   \(p-value  =  0.22663\)

Step-by-step explanation:

From the question we are told that

    The proportion of bruised tomatoes p =  0.08

    The  null hypothesis is  \(H_o  :   p =  0.08\)

    The alternative hypothesis is  \(H_a  :  p >  0.08\)

    The sample size is  n  =  600

    The number of bruised tomatoes from the sample selected is  k  =  53

    The test statistics is  z =0.75

Generally the p-value is mathematically represented as

      \(p-value  =  P(Z > z)\)

=>    \(p-value  =  P(Z > 0.75)\)

From the z-table  

    \(P(Z > 0.75) =  0.22663\)

So  

    \(p-value  =  0.22663\)

Answer:

P-value ≈ 0.2266

Step-by-step explanation:

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

Answer:

Step-by-step explanation:

12*4*y

=

4(12y)

.......

Answer:

67.2% or if your rounding to a whole number it’s 67%

Step-by-step explanation:

Move the dot (decimal) over 2 digits to the right —>

Answer:

The answer would be -1

Step-by-step explanation:

Slope = ∆y/∆x

= (y2- y1 )/(x2- x1)

y2=3

y1= 7

x2=2

x1= -2

= (3-7)/(2--2)

= -4/(2+2)

= -4/4

= -1

Answer:

nn

Step-by-step explanation:

Answer:

It shouldn't be a problem.

Calculate the area as usual.

But if the fraction is troubling you then, change the fraction (by further solving/dividing it) into decimal.

Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.

There are 30 minutes in \(\frac{2}{4}\) of an hour.

To find the no. of minutes in an hour we can multiply the no. of hours by 60. Suppose to find the no. of minutes in an hour we can simply multiply 1 by 60 so we can get 60 minutes in an hour.

Similarly to find the no. of minutes are in \(\frac{2}{4}\) of an hour we can multiply the \(\frac{2}{4}\) by 60 to get the required minutes.

\(\frac{2}{4}\) × 60 = \(\frac{1}{2}\) × 60 = \(\frac{60}{2}\)  = 30.

So, from the above explanation, we can conclude that there will be 30 minutes in the \(\frac{2}{4}\) of an hour.

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The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Answer:

X is for the height

Step-by-step explanation:

Arcodding to the coordinate table , this chart has x and y. We measure the y first then we measure the x.

the y coordinate show the length and the y measure the height

I hope it'll help you much

Thank you for asking

Answer:

326

Step-by-step explanation:

Its hard to explain but you get the idea lol

Answer:

5

Step-by-step explanation:

15-5=10

10+2=12

12-10=2

3+2=5

Answer:

25

Step-by-step explanation:

15-3=12

12+10=22

22-2=20

20+5=25

Now take 25 and go in the order the question states.

Answer: 24/7 as a mixed number is 3 3/7

Answer:

3 3/7 (mixed number)*

Answer:

3n

Step-by-step explanation:

the output is 3 times the input

three times n equals 3n

Answer:

741 miles

Step-by-step explanation:

117 / 3 = x

x * 19 = a

hope this helps :)

Answer:

(y-5)+g

Step-by-step explanation:

Answer:

y-5+g

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Using the remainder theorem we get:

\(f(-2)=-5\),  \(f(1)=4\), and \(f(-1)=0\)

So we get

\(f(-2)=(-8)(p-1)+4p-2q+r=-5\)

                 \(-8p+8+4p-2q+r=-5\)

                              \(-4p-2q+r=-13\)  \((a)\)

\(f(1)=(p-1)+p+q+r=4\)

                       \(2p+q+r=5\)               \((b)\)

\(f(-1)=-(p-1)+p-q+r=0\)

                                 \(-q+r=-1\)    \((c)\)

We need to solve (a), (b) and (c) simultaneously to find p,q, and r.

from \((c)\)  \(r=q-1\). Sub this into (a) and (b):

\(-4p-2q+(q-1)=-13 \rightarrow -4p-q=-12\)    \((d)\)

      \(2p+q+(q-1)=5 \rightarrow q=3-p\)              \((e)\)

Sub (e) into (d) we get

\(-4p-(3-p)=-12 \rightarrow p=3\)

Sub \(p=3\) into \((e) \rightarrow q=0\)

Sub  \(p=3,q=0\) into \((c) \rightarrow r=-1\)

SOLUTION: \(p=3,q=0,r=-1\)    

So \(f(x)=2x^3+3x^2-1\)

by dividing (x+1) into f(x) we get  (I am not showing working for this division)

\(f(x)=(x+1)(2x^2+x-1)\)

\(\rightarrow f(x)=(x+1)(2x-1)(x+1)\)

Answer:

BC = 4

Step-by-step explanation:

The diagram shows a circle with radius AE and chord BD.

Assuming that the radius bisects the chord, then AE is perpendicular to BD. So the measure of angle ACB is 90°.

This means that triangle ACB is a right triangle, with legs AC and BC, and hypotenuse AB.

The length of the radius is:

\(AE = 3 + 2 = 5\)

As AB is also the radius, AB = 5.

To find the length of BC, use Pythagoras Theorem:

\(AC^2+BC^2=AB^2\)

    \(3^2+BC^2=5^2\)

      \(9+BC^2=25\)

\(9+BC^2-9=25-9\)

           \(BC^2=16\)

        \(\sqrt{BC^2}=\sqrt{16}\)

            \(BC=4\)

Therefore, the length of line segment BC is 4.

Therefore , the solution of the given problem of trigonometry comes out to be csc θ - csc(90° - θ) is equal to -√(13) / 6.

Mathematics and cubic splines relationships It is believed that astrophysics was created with in third century BC, when the various fields were merged. Many geometric equations can be solved or the results of computations involving them can be determined using precise mathematical methods. Trigonometry is the analysis of the six basic trigonometric formulas. They are known by a variety of titles and acronyms, including sine, dispersion, angle, angle, etc (csc).

Here,

=> h² = 2² + 3²

=> h² = 4 + 9

=> h² = 13

=> h = √(13)

Using the specification of csc, we can now determine the value of csc:

csc θ = hypotenuse / opposite

csc θ = sqrt(13) / 3

csc(θ) - csc(90° - θ) must be calculated using the identity:

csc(90° - θ) = sec θ

As a result, we have:

csc θ - csc(90° - θ) = csc θ - sec θ

= (hypotenuse / opposite) - (hypotenuse / adjacent)

= (√(13) / 3) - (√(13) / 2)

= √(13) / 6 * (2 - 3)

= -√(13) / 6

Therefore, in its simplest radical version, csc θ - csc(90° - θ) is equal to -√(13) / 6.

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To find the savings plan balance after 12 months with an APR of 3% and monthly payments of $200, you can use the formula for the future value of an annuity. So the savings plan balance after 12 months with an APR of 3% and monthly payments of $200 is $2,492.80.

The formula for the future value of an annuity: FV = PMT * [(1 + r/n)^(n*t) - 1] / (r/n), where: FV is the future value of the annuity, PMT is the periodic payment, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.

Using this formula, we have r = 3% = 0.03n = 12 (monthly payments)t = 12/12 = 1 year PMT

= $200FV

= 200 * [(1 + 0.03/12)^(12*1) - 1] / (0.03/12)FV

= 200 * [(1.0025)^12 - 1] / (0.0025)FV

= 200 * 0.03115 / 0.0025FV = $2,492.80

Therefore, the savings plan balance after 12 months with an APR of 3% and monthly payments of $200 is $2,492.80.

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Answer:

Its 18.125

Because if you multiply 7.25 times 2 plus add the half which was 3.625 it equals 18.125

Answer:

7 1/3 servings

Step-by-step explanation:

0.75x=5.5

x=5.5÷0.75

x=7.33333

 -or-

7 1/3 servings

The algebric expression \(cot(sin^{(-1)}\sqrt{(x^2}\)simplifies to sqrt(1 - |x|^2) / |x|.

The expression "cot(sin^(-1)(sqrt(x^2)))" involves trigonometric and square root functions. Let's break it down step by step to simplify the expression.

Inside the square root: x^2.

The square root of x^2 is |x| (the absolute value of x), as the square root eliminates the square and keeps the positive value.

The expression sin^(-1)(sqrt(x^2)) is equivalent to arcsin(sqrt(x^2)).

Since we already know that the square root of x^2 is |x|, we can rewrite the expression as arcsin(|x|).

Now, we have cot(arcsin(|x|)).

The cotangent (cot) of an angle is equal to the reciprocal of the tangent (tan) of the same angle.

So, cot(arcsin(|x|)) can be written as 1 / tan(arcsin(|x|)).

Using the inverse trigonometric identity, tan(arcsin(x)) = x / sqrt(1 - x^2), we can simplify further.

In our case, x = |x|.

Therefore, tan(arcsin(|x|)) = |x| / sqrt(1 - |x|^2).

Substituting this result back into the expression, we have 1 / (|x| / sqrt(1 - |x|^2)).

To divide by a fraction, we multiply by its reciprocal.

Hence, the final simplification of the expression is sqrt(1 - |x|^2) / |x|.

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TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

To represent the given problem as a system of equations, we can use the following information:

John is 70 years younger than Sharon: j = s - 70

Sharon is 4 times as old as John: s = 4j

Let's plot the graph for this system of equations:

First, let's solve equation (2) for s:

s = 4j

Now substitute this value of s in equation (1):

j = s - 70

j = 4j - 70

3j = 70

j = 70/3

Substitute the value of j back into equation (2) to find s:

s = 4j

s = 4(70/3)

s = 280/3

The solution to the system of equations is j = 70/3 and s = 280/3

In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.

Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

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The system of equations is.

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

And the solutions are y = 50 and x = 10.

Let's define the two variables:

With the given information we can write two equations, then the system will be:

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

Now let's solve it.

We can isolate x on the first  to get:

\(\text{x} = 60 - \text{y}\)

Replace that in the other equation to get:

\(15\times(60 - \text{y}) + 10\text{y} = 800\)

\(-2\bold{y} = 900 - 800\)

\(-2\bold{y} = 100\)

\(\text{y} = \dfrac{100}{-2} = \bold{50}\)

Then \(\bold{x=10}\).

Therefore, the solutions are y = 50 and x = 10.

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Given:

Equation of line is \(y-25=2(x-10)\).

A line is perpendicular to the given line and passes through (-3,7).

To find:

The point slope form of the perpendicular line.

Solution:

Point slope form of a line is

\(y-y_1=m(x-x_1)\)          ...(i)

where, \((x_1,y_1)\) is the point from which the line is passing through and m is slope.

We have,

\(y-25=2(x-10)\)       ...(ii)

From (i) and (ii), we get

\(m_1=2\)

Product of slopes of two perpendicular lines is -1.

\(m_1\times m_2=-1\)

\(2\times m_2=-1\)

\(m_2=-\dfrac{1}{2}\)

So, slope of perpendicular line is \(-\dfrac{1}{2}\).

Point slope form of the perpendicular line is

\(y-(7)=-\dfrac{1}{2}(x-(-3))\)

\(y-7=-\dfrac{1}{2}(x+3)\)

Therefore, the correct option is C.

Answer:

3.8

Step-by-step explanation:

4 x 0.95 = 3.8