What the relation of 1/c=1/c1+1/c2 hence find c​

Answer:

Z - score = 2.83

Step-by-step explanation:

Given the following :

Number of samples (N) = 60

Sample mean (x) = 41.9mg

Population mean (μ) = 40mg

Population standard deviation (sd) = 5.2

Using the relation :

Z = (x - μ) / (sd / √N)

Z = (41.9 - 40) / (5.2 / √60)

Z = 1.9 / (5.2 / 7.7459666)

Z = 1.9 / 0.6713171

Z = 2.8302570

Therefore, the z-score = 2.83

Answer:

Step-by-step explanation:

In this problem we are expected to calculate the fraction of a whole that belongs to a part. that is the fraction of the estate the belongs to American cancer society.

let us  state as given that the total estate is 5

and 4 is to be divided among relatives, remaining 1

out of the remaining 1 estate,

1/4 belongs to American cancer society

Therefore the fraction of the 5 estates that belongs to American cancer society is = 1/4 of 1/5= 1/9

Answer:

the mode would be 24

Step-by-step explanation:

it is what numbers appears most often

Answer:

  40

Step-by-step explanation:

Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.

As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.

_____

The equation reduces, mod 23, to ...

  10x = 11

Its solutions are x = 23n +8.

Answer:

A

Step-by-step explanation:

Answer:

[tex]\huge \boxed{-11}[/tex]

Step-by-step explanation:

[tex](-3)+(-8)[/tex]

[tex]\sf Factor \ negative \ sign.[/tex]

[tex]-(3+8)[/tex]

[tex]\sf Add.[/tex]

[tex]-(11)[/tex]

Step-by-step explanation:

[tex]( - 3) + ( - 8) \\ \\ remove \: unecessary \: parantheses \\ - 3 - 8 \\ = 11[/tex]

Answer:

Step-by-step explanation:

[tex]3.4-2.8d+2.8d-1.3\\\\\mathrm{Add\:similar\:elements:}\:-2.8d+2.8d=0\\\\=3.4-1.3\\\\\mathrm{Subtract\:the\:numbers:}\:3.4-1.3\\\\=2.1[/tex]

The equation of the line of best fit that Frank drew will be y = -(1/3) x + 16. Then the correct option is D.

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

[tex]\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)[/tex]

Frank created a scatter plot and drew a line of best fit, as shown.

From the graph, the two points are taken that are (0, 16) and (3, 15).

(x₁, y₁) → (0, 16)

(x₂, y₂) → (3, 15)

Then the equation of line will be

y – 16 = -1/3(x – 0)

       y = -(1/3) x + 16

Then the correct option is D.

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Answer:

2√e√3√f / 3f

Step-by-step explanation:

√4√e / √3√f

2√e / √3√f  * (√3√f / √3√f)

2√e√3√f / 3f

Answer:

The correct statment is B.

Step-by-step explanation:

A. is not correct:  y = 2.4(30) - 1.8 does not equal 70...

B. Is correct because the slope is 2.4 From the equation

C. is not correct because the points have no 2.4 (maybe 2.2)? difference.

D. is not correct. the correlation isn't positive.

Answer:

Picture below

Step-by-step explanation:

● 5/2 is 2.5 so just divide the space between 3 by 2

● for 1/3 divide the space between 0 and by 3

Answer:

a. [tex]\mathtt{P(X \geq 25) =0.0170}[/tex]     ( to four decimal places)

b. [tex]P(22.5<X<25) = 0.9043[/tex]   ( to four decimal places )

c. The limits will be between the interval of   ( 22.33,24.67 )

Step-by-step explanation:

Given that :

mean = 23.50

standard deviation = 5.00

sample size = 50

The objective is to calculate the following:

(a)  What is the likelihood the sample mean is at least $25.00?

Let X be the random variable, the probability that the sample mean is at least 25.00 is:

[tex]P(X \geq 25) = 1 - P(\dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}} < \dfrac{25- 23.50}{ \dfrac{5}{\sqrt{ 50}} })[/tex]

[tex]P(X \geq 25) = 1 - P(Z< \dfrac{1.5}{ \dfrac{5}{7.07107}} })[/tex]

[tex]P(X \geq 25) = 1 - P(Z< \dfrac{1.5 \times 7.071}{ {5}})[/tex]

[tex]P(X \geq 25) = 1 - P(Z< 2.1213)[/tex]

[tex]P(X \geq 25) = 1 - P(Z< 2.12)[/tex]   to two decimal places

From the normal tables :

[tex]P(X \geq 25) = 1 - 0.9830[/tex]

[tex]\mathtt{P(X \geq 25) =0.0170}[/tex]     ( to four decimal places)

(b) What is the likelihood the sample mean is greater than $22.50 but less than $25.00?

[tex]P(22.5<X<25) = P(\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt{n}}} <\dfrac{25-23.5}{\dfrac{5}{\sqrt{50}}} ) - P(\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt{n}}} <\dfrac{22.5-23.5}{\dfrac{5}{\sqrt{50}}} )[/tex]

[tex]P(22.5<X<25) = P(Z<\dfrac{1.5}{\dfrac{5}{7.071}} ) - P(Z<\dfrac{-1}{\dfrac{5}{7.071}} )[/tex]

[tex]P(22.5<X<25) = P(Z<2.12) - (Z<-1.41 )[/tex]

[tex]P(22.5<X<25) = (0.9830 ) - (0.0787)[/tex]

[tex]P(22.5<X<25) = 0.9043[/tex]  to four decimal places

(c) Within what limits will 90 percent of the sample means occur?

At 90 % confidence interval, level of significance = 1 - 0.90 = 0.10

The critical value for the [tex]z_{\alpha/2} = 0.05[/tex] = 1.65

Standard Error = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]

Standard Error =  [tex]\dfrac{5}{\sqrt{50}}[/tex]

Standard Error = 0.7071

Therefore, at 90 percent of the sample means, the limits will be between the intervals of : [tex](\mu \pm z_{\alpha/2} \times S.E)[/tex]

Lower limit =  ( 23.5 - (1.65×0.707) )

Lower limit =  ( 23.5 - 1.16655 )

Lower limit = 22.33345

Lower limit = 22.33    (to two decimal places).

Upper Limit = ( 23.5 + (1.65*0.707) )

Upper Limit = ( 23.5 + 1.16655 )

Upper Limit = 24.66655

Upper Limit = 24.67

The limits will be between the interval of   ( 22.33,24.67 )

Answer:

the red car is traveling at 102.44 ft/s along the road

Step-by-step explanation:

From the given information:

Let consider p be how far the car is up the road and  q be how far the police is off the road.

Also, suppose that r is the distance between the police and the car.

Then, we can have a right triangle in which  we can use the Pythagorean Theorem to calculate the r (distance between the cop and the car)

NOW,

p² + q² = r²

r² = 40² + 180²

r² = 1600 + 32400

r² = 34000

r = [tex]\sqrt{34000}[/tex]

r = 184.39

If we consider q'  to be how fast the car is traveling down the road.

And, p' be how fast the police is traveling toward the road.

r' be how fast the distance between the police and the car is changing.

then , the derivative of our equation, p² + q² = r² with respect to time can now be:

2p(p') +2q(q') = 2r(r')

p(p') +q(q') = r(r')

By replacing our values; we have:

40(0) +180(y') = [tex]\sqrt{34000} \times 100[/tex]    (given that the police is not moving p' =0)

180(y') = [tex]\sqrt{34000} \times 100[/tex]

[tex](y') = \dfrac{\sqrt{34000} \times 100}{180}[/tex]

[tex](y') = \dfrac{184.39 \times 100}{180}[/tex]

[tex]\mathbf{(y') = 102.44 \ ft/s}[/tex]

the red car is traveling at 102.44 ft/s along the road

Answer:

20 will fly in the missing side.

Step-by-step explanation:

This is a 90^o angle.

heres the formula for side c:

a^2 + b^2 = c^2

So,

12^2 + 16^2 = c^2

144 + 256 = c^2

square root of 400 = c

c = 20

So, 20 will fly in the missing gap of the V formation.

image is calculator.

Answer:

24 kg

Step-by-step explanation:

The median can be found by putting the numbers in order and then finding the middle value.

In order from least to greatest:

19, 22, 24, 27, 28

24 is the middle value

So, 24 kg is the median.

Answer:

24 kg

Step-by-step explanation:

The median is the number in the middle of the data set. To find the median, arrange the numbers from least to greatest, then locate the middle number.

1. Arrange the numbers from least to greatest

Numbers: 22 kg, 24 kg, 28 kg, 19 kg, 27 kg

Least to greatest: 19 kg, 22 kg, 24 kg, 27 kg, 28 kg

2. Locate the middle number

Cross one number off each end of the set until the middle is reached.

19 kg, 22 kg, 24 kg, 27 kg, 28 kg

Cross off 19 and 28

22 kg, 24 kg, 27 kg

Cross off 22 and 28

24 kg

The middle number has been reached.

median= 24 kg

The median of the measurements is 24 kilograms.

Answer:

5

Step-by-step explanation:

Answer:

5 (Follow PEMDAS left—>right)

Answer:

2(x -2)² = 0

Step-by-step explanation:

2(x² - 4x - 4) = 0

2(x -2)² = 0

x = 2

Answer:

[tex]2(3x-2)(x+2)=6x^2-8x-8[/tex]

The factored form of [tex]6x^2-8x-8=0[/tex] is [tex]2(3x-2)(x+2)=0[/tex]

Step-by-step explanation:

[tex]6x^2-8x-8=0[/tex]

The way the quadratic equation was given, we can't have a factored form in the format: [tex](ax-b)(cx+d)[/tex]

First, divide both sides by 2

[tex]3x^2-4x-4=0[/tex]

Now, it is about thinking. From the equation, we will get something in the format:  [tex](ax-b)(cx+d)[/tex]

Let's expand this: [tex](ax-b)(cx+d) = acx^2+adx-bcx-bd[/tex]

From here, we can give some values for those variables, based on the quadratic equation [tex]3x^2-4x-4=0[/tex]:

[tex](3x-b)(x+d) = 3\cdot 1\cdot x^2+3dx-b\cdot 1 \cdot x-bd= \boxed{3x^2+3dx-bx-bd}[/tex]

Once we want the middle term to be -4 and bd to be 4, we can easily evaluate the other variables.

[tex](3x-2)(x+2) = 3\cdot 1\cdot x^2+3(2)x-(2)\cdot 1 \cdot x-(2)(2)= \boxed{3x^2+6x-4x-4}[/tex]

Therefore,

[tex](3x-2)(x+2)=3x^2-4x-4[/tex]

But we are not ready yet!

This is the factored form of [tex]3x^2-4x-4=0[/tex], to get the factored form of the problem equation, just multiply the factored form we got by 2.

[tex]2(3x-2)(x+2)=6x^2-8x-8[/tex]

Answer:

46

Explanation:

root of 2116

=46×46

Therefore 46 columns and 46 rows

Answer:

46 rows, 46 columns.

Step-by-step explanation:

First factor 2116:

2) 2116

2 } 2058

23  ) 529

       23

2116 = 2*2*23*23

= 46 * 46

Answer:

The fish is 2.25 ft above the surface at 0.375 seconds

Step-by-step explanation:

Given:

y=-16x^2+12x

x=0.375 seconds

Substitute x=0.375 into the equation

y=-16x^2+12x

= -16(0.375)^2 +12(0.375

= -16(0.140625) + 4.5

= -2.25 + 4.5

= 2.25

y=2.25 ft

The fish is 2.25 ft above the surface at 0.375 seconds

Answer:

A inch

Step-by-step explanation:

Answer:

The simplified answer of the given equation is -57.

Step-by-step explanation:

For this problem, we are given values for our variables.

k = -1

n = -4

So, let's plug these numbers into our expression so we can easily solve it.

-(-1)² - (4(-1) - 6(-4)) + 9(-4)

Simplify your parentheses.

-(-1)² - (-4 + 24) - 36

-(-1)² - 20 - 36

Now, simplify your exponents.

-1 - 20 - 36

Combine -1 and -20.

-21 - 36

Now, subtract -21 from 36.

-57

Answer:

-18

)())()()()()()()( ;)

The ratio 2:11 means for every 3 apple trees they will plant 11 pear trees.

They are planting 150 apple trees. Divide total apple trees by the ratio: 150/3 = 50

Multiply that by the ratio of pear trees:

50 x 11 = 550

They need to plant 550 pear trees.

Answer:

84%

Step-by-step explanation:

percentage of score in English=18/25*100

=72%.

72+p/2=78

72+p=156

p=84%

Mark me BRAINLIEST if helped

Tysm!

Answer:

first one is 27.89, the second is 20.

Step-by-step explanation:

1. So the 340 dollars is determined by 9.50 multiplied by the amount of hours you show up (which we will call x), plus the 75 dollars.

Your equation will be set up like this : 9.50x +75 = 340

So, to get x, we must isolate it. so subtract 75 from both sides

9.50x +75 -75 = 340 -75           9.50x = 265

Now, since we know that 9.50 multiplied by x equals 265, to isolate and find out x (the hours worked during the pay period), we divide both sides by 9.50

9.50x/9.50 = 265/9.50          so, x = 27.89473684, but based off of the answers there, you would just round to x = 27. 89 hours worked.

2. So now the 120 chips are determined by 6 chips multiplied by the minutes, since 6 chips are eaten every minute, with the minutes represented as x, like this: 6x = 120

So this time, you don't subtract or add anything, you would just divide by 6 to isolate x.

6x/6 = 120/6                  so, x = 20 minutes.

Answer:

None of the answers seem to be correct.

Step-by-step explanation:

The given equation is of the form y = mx + b where m is the slope and b is the y-intercept.

Here, m = -14

Two parallel lines have the same slope. So, the slope of the new line will be -14.

To calculate the y-intercept substitute x=4 and y=4 in the equation.

4 = (-14)(4) + b

Solving for b, we get b = 60.

So, the new equation will be y = -14x + 60

The equation of the line parallel to the given line is y =-14x+60, none of the given options is correct.

The equation of the straight line is given by y = mx +c , Where m is the slope of the line and c is the y-intercept.

The equation of the line is y = -14x -3

The slope of the line parallel to this will be the same as the given line.

m = -14 for both the lines

The line equation parallel to the given line is

y = -14x +c

The line passes through the points (4,4)

4 = -14 * 4 + c

c = 60

y = -14x +60

Therefore, the equation of the line parallel to the given line is y =-14x+60.

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Answer:

117°

Step-by-step explanation:

Arc ABC (AB + BC) is intercepted by angle D.

Therefore, Arc ABC is 2 × m<D. (Inscribed Angle Theorem)

AB = 91°

m<D = 104°

Let BC = x

Arc ABC = (91° + x)

Thus,

91° + x = 2 × 104°

Solve for x

91 + x = 208

Subtract 91 from both sides

91 + x - 91 = 208 - 91

x = 117

Measure of arc BC = 117°

Answer:

809.915$

Step-by-step explanation:

Amount of money = Principal x e^(rate x year)

                              = 600 x e^(0.05 x 6)

                              = 809.915$

Answer:

$809.92

Step-by-step explanation:

(see attached for reference)

Recall that the formula for compound interest (compounded continuously) is

A = P e^(rt)

where,

A = final amount (we are asked to find this)

P = principal = given as $600

r = interest rate = 5% = 0.05

t = time = 6 years

e = 2.71828 (mathematical constant)

Substituting the known values into the equation:

A = P e^(rt)

= 600 e^(0.05 x 6)

= 600 (2.71828)^(0.30)

= $809.92

Answer:

1.a measure, quantity, or frequency, typically one measured against another quantity or measure.

Step-by-step explanation:

2.a fixed price paid or charged for something.

Answer:

a measure, quantity, or frequency typically one measured against another quantity or measure.

Answer:

2/3

Step-by-step explanation:

Bag A: WWB

Bag B: B