(6/22 + 5/77) ^2 equalviant to in fraction form

the answer is 36.36 but the closest to it is 37

Answer:

Step-by-step explanation:

Given that:

Mean μ= 100

standard deviation σ = 2.6

sample size n = 9

sample mean X = 100.6

The null hypothesis and the alternative hypothesis can be computed as follows:

[tex]H_o : \mu \leq 100[/tex]

[tex]H_1 :\mu > 100[/tex]

The numerical value for the test statistics is :

[tex]z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \dfrac{100.6- 100}{\dfrac{2.6}{\sqrt{9}}}[/tex]

[tex]z = \dfrac{0.6}{0.8667}[/tex]

z = 0.6923

At  ∝ = 0.05

[tex]t_{\alpha/2 } = 0.025[/tex]

The critical value for the z score = 0.2443

From the z table, area under the curve, the corresponding value which is less than the significant level of 0.05 is 1.64

P- value =  0.244

c> If the true population mean is 101.3 ;

Then:

[tex]z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \dfrac{101.3- 100.6}{\dfrac{2.6}{\sqrt{9}}}[/tex]

[tex]z = \dfrac{0.7}{0.8667}[/tex]

z = 0.808

From the normal z tables

P value  =  0.2096

Given:

D=165 feet and the frequency of the motion is 1.6 revolutions per minute.

Solution:

The radius is half of the diameter.

The radius of the wheel is 82.5 feet.

[tex]T=\frac{1}{1.6} \text{ minutes}[/tex]

As we know: [tex]\omega=\frac{2\pi}{T}[/tex]

Substitute the value of T in the above formula.

[tex]\omega=\frac{2\pi}{\frac{1}{1.6}}\\\omega=3.2\pi[/tex]

If the center of the wheel is at the origin then for [tex]t=0[/tex] the rest position is [tex]-a[/tex].

This can be written as:

[tex]h(t)=-a\cos(\omega t)\\h(t)=-82.5cos(32.\pi t)[/tex]

The actual height of the rider from the ground is:

[tex]h(t)=\text{ Initial height from bottom}+\text{ radius}-82.5\cos(3.2\pi t)\\h(t)=15+82.5-82.5\cos(3.2\pi t)\\h(t)=97.5-82.5\cos(3.2\pi t)[/tex]

The required equation is [tex]h(t)=97.5-82.5\cos(3.2\pi t)[/tex].

Answer:

SAS

Step-by-step explanation:

SAS

two side 1 angle

if not that try SSA

Answer:

SAS

Step-by-step explanation:

We have two  sides are equal and the angle between the two sides are equal so we can use the side angle side

Answer:

Note Due Date Interest due at Maturity

1 Mar 6 $500

2 Apr 23 $360

3 July 20 $840

4 Sept 6 $945

5 Nov 29 $270

6 Dec 30 $300

Step-by-step explanation:

Calculation to Determine the due date and the amount of interest due at maturity for Flush Mate Co.

Using this formula to Calculate for the amount of interest due at maturity.

Interest due at Maturity= [Face amount * Numbers of days to maturity / 360 * Interest rate]

Note, Due Date,  Face Amount, No of days to maturity,  Interest rate, Interest due at Maturity

1 Mar 6 80,000× 45/360 ×5% =$500

2 Apr 23 24,000 × 60/360 ×9% =$360

3 July 20 42,000×120/360 ×6% =$840

4 Sept 6 54,000× 90/360 ×7% =$945

5 Nov 29 27,000× 60/360 ×6% =$270

6 Dec 30 72,000× 30/360 ×5% =$300

Therefore  the due date  and the amount of interest due at maturity for Flush Mate Co are:

Note Due Date Interest due at Maturity

1 Mar 6 $500

2 Apr 23 $360

3 July 20 $840

4 Sept 6 $945

5 Nov 29 $270

6 Dec 30 $300

Answer:

[tex]\boxed{x = 4}[/tex]

Step-by-step explanation:

=> 5x-4+2(x-4) = 16

Expanding the brackets

=> 5x-4+2x-8 = 16

Combining like terms

=> 5x+2x-4-8 = 16

=> 7x - 12 = 16

Adding 12 to both sides

=> 7x = 16+12

=> 7x = 28

Dividing both sides by 7

=> x = 4

Answer:

x = 4

Step-by-step explanation:

5x - 4 + 2(x-4) = 16

Expand the equation by multiplying 2 to x and -4 separately:

5x - 4 + 2x - 8 = 16

Collect like terms:

5x + 2x - 4 - 8 = 16

7x -12 = 16

Add 12 to both sides:

7x = 16 + 12

7x = 28

Divide both sides by 7 :

x = 28/7

x = 4

Answer:

[tex]0.51 - 1.96 \sqrt{\frac{0.51(1-0.51)}{557}}=0.468[/tex]

[tex]0.51 + 1.96 \sqrt{\frac{0.56(1-0.56)}{1507}}=0.552[/tex]

And the 95% confidence interval would be given (0.468;0.552).

Step-by-step explanation:

The estimated proportion of people who say that were underpaid is given by:

[tex]\hat p=\frac{284}{557}=0.510[/tex]

The confidence interval would be given by this formula

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

For the 95% confidence interval the value of [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2=0.025[/tex], with that value we can find the quantile required for the interval in the normal standard distribution.

[tex]z_{\alpha/2}=1.96[/tex]

And replacing into the confidence interval formula we got:

[tex]0.51 - 1.96 \sqrt{\frac{0.51(1-0.51)}{557}}=0.468[/tex]

[tex]0.51 + 1.96 \sqrt{\frac{0.56(1-0.56)}{1507}}=0.552[/tex]

And the 95% confidence interval would be given (0.468;0.552).

Answer

B. 27

firist divide 9÷2=4.5

the formula

=1/2×4.5×6

=13.5

cause there are 2 triangles. let's multiply 13.5 with 2

13.5×2= 27²

Answer:

[tex]A +B+C+D = 3[/tex] is the correct answer.

Step-by-step explanation:

Given:

[tex]$\frac{5}{2+\sqrt{6}}$[/tex]

To find:

[tex]A+B+C+D = ?[/tex] if given term is written as following:

[tex]$\frac{A\sqrt{B}+C}{D}$[/tex]

Solution:

We can see that the resulting expression does not contain anything under [tex]\sqrt[/tex] (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

[tex]\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \ (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}[/tex]

Comparing the above expression with:

[tex]$\frac{A\sqrt{B}+C}{D}$[/tex]

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, [tex]A +B+C+D = 5+6-10+2 = \bold3[/tex]

Answer:

4 inches.

Step-by-step explanation:

The formula for the volume of a pyramid is v=1/3bh.

V is the volume of the shape

1/3 is just a rational number or fraction.

b is the area of the base shape of the 3d shape

h is the height of the shape (slant height).

The general formula for the volume of all shapes is V=Bh

V is the volume

B is the area of the base

h is the height of the prism.

In this case, we have a pyramid, so let's use the formula V=1/3Bh.

We know what the volume so 48=?

We can put 1/3 so 48=1/2 times ? times ?.

The base shape of this pyramid is a square, and it has an edge of 6 inches. We need to find the area of that square because it is the area of our base. the formula for finding the area of a square is A=S squared.

A is the area of the shape

S is the side length.

The reason why it is squared is because all sides of a square are equal to each other. Since the base edge is 6 inches, the other edges are 6 inches as well. There are 4 edges in a square.

A= 6 times 6.

A=36.

We have the area of the base, so we can put 48=1/3 times 36 times ?.

We are finding what the slant height is, so let's put the letter "h" to represent the slant height.

Now, 48=1/3 times 36 times h.

All we have to do is solve for h.

First we have to simplify one side of the equation.

To simplify, we have to do 1/3 times 36, or you can do 36 divided by 3. It is your choice. 36 divided by 3 is 12.

Now we have 12h=48.

Isolate h by dividing both sides by 12. 12h divided 12 is h. 48 divided by 12 is   4.

Therefore h=4 inches. The reason we divide both sides is because we have to do the inverse operation of the original equation. For instance 12h=48. To get to 48, you do 12 times h. We take the inverse (opposite) operation of multiplication (division). That will isolate for h.

The slant height of this square pyramid is 4 inches.

Hope this helps. Have a good rest of your day!

The slant height of the pyramid is 4 inches. Therefore, the option B is the correct answer.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, volume of square right pyramid = 48 cubic inches and base edge measuring 6 inches.

We know that, the volume of square based pyramid =a²h/3.

Here, a=6 inches and h=slant height

Now, 48= (6²×h)/3

48=36h/3

48=12h

h=4 inches

Therefore, the option B is the correct answer.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ7

Answer:

The point of interception of the graph and x axis are -2.366 and -0.634.

The only graph that satisfy this conditions is Graph A

Step-by-step explanation:

Given the equation;

[tex]y = 2x^2 + 6x + 3\\[/tex]

at y = 0

[tex]2x^2 + 6x + 3=0\\[/tex]

the roots of the quadratic equation (at y =0) can be calculated using the quadratic formula;

[tex]x = \frac{-b\pm \sqrt{b^2 -4ac}}{2a}[/tex]

Using the quadratic equation to solve for the roots;

[tex]x = \frac{-6\pm \sqrt{6^2 -4*2*3}}{2*2}\\x = \frac{-6\pm \sqrt{36 - 24}}{4}\\x = \frac{-6\pm \sqrt{12}}{4}\\so, we have \\x = -2.366\\or\\x = -0.634\\[/tex]

Therefore, the point of interception of the graph and x axis are -2.366 and -0.634.

The only graph that satisfy this conditions is Graph A

Answer:

Hope it helps <3

━━━━━━━☆☆━━━━━━━

▹ Answer

Use a graphing calculator. Attached is an image.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

A = 59.63cm^2

Step-by-step explanation:

You have the following function for the surface area of the container:

[tex]A=\pi r^2+\frac{100}{r}[/tex]                (1)

where r is the radius of the cross sectional area of the container.

In order to find the minimum surface are you first calculate the derivative of A respect to r, to find the value of r that makes the surface area a minimum.

[tex]\frac{dA}{dr}=\frac{d}{dr}[\pi r^2+\frac{100}{r}]\\\\\frac{dA}{dr}=2\pi r-\frac{100}{r^2}[/tex]         (2)

Next, you equal the expression (2) to zero and solve for r:

[tex]2\pi r-\frac{100}{r^2}=0\\\\2\pi r=\frac{100}{r^2}\\\\r^3=\frac{50}{\pi}\\\\r=(\frac{50}{\pi})^{1/3}[/tex]

Finally, you replace the previous result in the equation (1):

[tex]A=\pi (\frac{50}{\pi})^{2/3}+\frac{100}{(\frac{50}{\pi})^{1/3}}}[/tex]

[tex]A=59.63[/tex]

The minimum total surface area is 59.63cm^2

Answer:

Five-number summary in ascending order: [tex] 0.58, 0.89, 0.98, 1.26, 1.42 [/tex]

Step-by-step Explanation:

The number summary, in ascending order, includes the minimum value, maximum value, median value, upper quartile and lower quartile.

To find each of the above values, first, order the data set in ascending order. Our values given, when ordered, would be:

0.58, 0.59, 0.89, 0.96, 0.97,| 0.98|, 1.07, 1.14, 1.26, 1.28, 1.42

1.The minimum value (the least value or lower value in the given data set).

From the ordered data set, minimum value = 0.58

2. The maximum value is the highest value in the data set = 1.42

3. Median value is the middle value of the data set. The middle value is the 6th value = 0.98.

The median value divides the data set into lower and upper region, as shown below.

0.58, 0.59, 0.89, 0.96, 0.97,|0.98|, 1.07, 1.14, 1.26, 1.28, 1.42

4. Lower Quartile (Q2) is the middle value of the lower region = 0.89, as shown below,

0.58, 0.59, [0.89], 0.96, 0.97,|0.98|, 1.07, 1.14, 1.26, 1.28, 1.42

5. Upper Quartile (Q3) is the middle value of the upper region = 1.26, as shown below.

0.58, 0.59, 0.89, 0.96, 0.97,|0.98|, 1.07, 1.14, [1.26], 1.28, 1.42

: this is the middle value of lower region, after our median divides the data set into two.

0.58, 0.59, 0.89, 0.96, 0.97,|0.98|, 1.07, 1.14, 1.26, 1.28, 1.42

Therefore, the five-number summary in ascending order is as follows: [tex] 0.58, 0.89, 0.98, 1.26, 1.42 [/tex]

Min = 0.58

Q1 = 0.89

Median = 0.98

Q3 = 1.26

Max = 1.42

A box plot has been constructed using the five-number summary. Check the attachment below.

The min value is represented by the whisker that starts from your left and connects to the rectangular box.

The max value is indicated at the extreme end of the other whisker that you have from the end of the rectangular box to your far right.

The median value is indicated by the vertical line that divides the rectangular box into 2.

The lower quartile is indicated at the beginning of the rectangular box, while the upper quartile is located at the end of the rectangular box.

Answer:

If the correlation coefficient is 1, then the slope must be 1 as well.

Step-by-step explanation:

Coefficient of correlation is used in statistics to determine the relationship between two variables. Correlation coefficient and slope always have same sign. It measures the strength of linear relation between two variables. The values of correlation coefficient ranges between 0 to 1. where 0 determines that there is no relationship between two variables.

Answer:

8 servings

Step-by-step explanation:

Spice required for one serving, using the rice-to-spice ratio to calculate:

David can make servings according to amount of spice he has:

Answer: David will be able to make 8 servings

Answer: 8

Step-by-step explanation:

Answer:

[tex] 11 quarts *\frac{946.353 ml}{1 quarter}= 10409.883 ml[/tex]

And for this case we can create the following proportion rule:

[tex]\frac{29 gr}{200 ml} =\frac{x}{10409.883 ml}[/tex]

And solving for x we got:

[tex] x= 10409.883 ml *\frac{29 gr}{200ml}= 1509.433 gr[/tex]

Step-by-step explanation:

For this problem we know that A hemoglobin test measures 29 grams of hgb per 200 milimiters of blood. and we want to know how many grams of Hgb are present in 11 quarts

First we need to convert the quarts to ml and we have:

[tex] 11 quarts *\frac{946.353 ml}{1 quarter}= 10409.883 ml[/tex]

And for this case we can create the following proportion rule:

[tex]\frac{29 gr}{200 ml} =\frac{x}{10409.883 ml}[/tex]

And solving for x we got:

[tex] x= 10409.883 ml *\frac{29 gr}{200ml}= 1509.433 gr[/tex]

Answer:

  The y-intercept is the number of minutes for producing vegetable cans when no minutes are used for fruit cans

Step-by-step explanation:

The problem statement tells you y is the number of minutes for producing vegetable cans. The y-intercept is the y-value when x = 0.

The y-intercept is the number of minutes for producing vegetable cans when no minutes are used for fruit cans.

Answer:

The y-intercept, at the point (0, 6), designates the choice to compose vegetables for 6 minutes. In 6 minutes, making 64 cans of vegetables per minute, 384 cans for the order decree performed. The 0 for the x-value designs that no time spent producing cans of fruit.

Step-by-step explanation:

I got it right on edgenuity

Answer:

The  number expected to pass that test is  [tex]k = 14 \ employees[/tex]

Step-by-step explanation:

From the question we are told that

      The probability of  success is  p  =  0.91

       The sample size is  n  =  15  

 The number of employee that will pass the test is mathematically represented as

          [tex]k = n * p[/tex]

substituting values

        [tex]k = 15 * 0.91[/tex]

      [tex]k = 14 \ employees[/tex]

Answer:

16 km

Step-by-step explanation:

From Washington, as the question asks, will now be considered 0 aka the starting point.

So as of now, we know Washington from Oakdale is 6.2 km.

And from Stanford to Salem is 11.9 km, also Salem to Washington is 10.3 km. Hence the addition of 11.9 km and 10.3 km to figure out the whole distance between Stanford and Washington.

11.9 km + 10.3 km = 22.2 km

Now we subtract 22.2 km to 6.2 km for the product of 16 km.

Answer:

woman is 37, girl is 7

Step-by-step explanation:

7(x-2) = y-2

4(x+3) = y+3

7x - 14 = y - 2

7x - 12 = y

4x + 9 = y

3x - 21 = 0

x = 7

y = 37

Answer:

length= 42

width = 7

Step-by-step explanation:

Answer:

L = 45°

Step-by-step explanation:

1. 82° + 53° = 135°

2. 180° - 135° = 45°

3. Angle L is 45°

I hope this helps.

Answer:

A.) Even.

Step-by-step explanation:

If a function is an even function, then

F(-x) = f(x)

Also, if a function is an odd function, then, f(-x) = -f(x)

You are given the below function

f(x) = 1 + 3x^2 − x^4

Let x = 2

Substitute 2 for x in the function

F(x) = 1 + 3(2)^2 - (2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Also, Substitute -2 for x in the function

F(x) = 1 + 3(-2)^2 - (-2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Since f(-x) = f(x), we can conclude that

F(x) = 1 + 3x^2 - x^4 is even

Answer:

The concert starts at 7:45 pm and ended at 1:35 am which mean the concert going on 5 hours and 50 minutes.

Step-by-step explanation:

RD=BL

RE=BU

ED=UL

Please mark brainliest!!!

Answer: B

Step-by-step explanation:

Answer:B

Step-by-step explanation: I took the edge quiz and it was right.

Answer:

Hey there!

The circumference of a circle is [tex]\pi(d)[/tex], where d is the diameter, and [tex]\\\pi[/tex] is a constant roughly equal to 3.14.

The diameter is 16, so plugging this into the equation, we get 3.14(16)=50.24.

The circumference of the circle is 50.24 yards.

Hope this helps :)

Answer:

The graph at the bottom left in your group of possible answers.

Step-by-step explanation:

Notice that the original given graph corresponds to the equation:

[tex]y=2x+1[/tex]

since the line's slope is 2/1 = 2 and the y-intercept is at the point (0, 1).

So if one modifies the equation multiplying the current slope by 1/2, and the y intercept increased by 3 units, Then the new function would be:

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

A line of slope 1 and y-intercept at (0, 4)

Notice that the graph at the bottom left in your possible answers is representing such function.

Answer:

Answer Y: or Bottom Left of Given Answers

Step-by-step explanation:

Answer:

1. Y= 7t^5 +C

2. Y= 35/12x^(12/7)+C

Step-by-step explanation:

The general solution will be determined by integrating the equations as the integration is a simple integration.

For dy/dt = 35t^4

The general solution y

= integral (35t^4)dt

The general solution y

=( 35/(4+1))*t^(4+1)

= 35/5t^5

= 7t^5 +C

To prove by differentiating the above.

Y= 7t^5 +C

Dy/Dt= (5*7)t^(5-1) +0

Dy/Dt= 35t^4

For dy/dx = 5x^(5/7)

Y=integral 5x^(5/7)Dx

Y= 5/(5/7 +1)*x^(5/7+1)

Y= 5/(12/7) *x^(12/7)

Y= 35/12x^(12/7)+C

To prove by differentiating

Y= 35/12x^(12/7)+C

Dy/Dx= (35/12)*(12/7) x^(12/7-1) +0

Dy/Dx=(35/7)x^(5/7)

Dy/Dx= 5x^(5/7)