Find the probability. A calculator requires a keystroke assembly and a logic circuit. Assume that 75% of the keystroke assemblies and 94% of the logic circuits are satisfactory. Find the probability that a finished calculator will be satisfactory.

The area of the larger circle is 81π square units.

Congruent circles are circles that are similar in pattern.

The formula for calculating the area of a circle is expressed as:

[tex]A = \dfrac{\pi d^2}{4}[/tex]

Given that the area of each of the small circles is 9π, then:

[tex]9 \pi =\frac{\pi d^2}{4}\\9 = \frac{d^2}{4}\\d^2=9*4\\d^2=36\\d=\sqrt{36}\\d=6units[/tex]

This shows that the diameter of one of the small circles is 6units.

Since the diameter of the three circles will be equivalent to the diameter of the larger circle, hence;

Diameter of the larger circle = 3(6) = 18units

Get the area of the larger circle:

[tex]A=\frac{\pi D^2}{4}\\A=\frac{\pi \times 18^2}{4}\\A =\frac{324\pi}{4}\\A= 81\pi[/tex]

Hence the area of the larger circle is 81π square units.

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Answer:

a) The mean of the data set is 58.3.

b) The standard deviation of the data-set is of 10.8.

c) 50% of presidents' ages fall within one standard deviation of the mean

Step-by-step explanation:

Question a:

Sum of all values divided by the number of values.

[tex]M = \frac{69 + 64 + 46 + 54 + 47 + 70}{6} = 58.3[/tex]

The mean of the data set is 58.3.

Question b:

Square root of the sum of the difference squared between each value and the mean, divided by the number of values subtracted by 1. So

[tex]S = \sqrt{\frac{(69-58.3)^2 + (64-58.3)^2 + (46-58.3)^2 + (54-58.3)^2 + (47-58.3)^2 + (70-58.3)^2}{5}} = 10.8[/tex]

The standard deviation of the data-set is of 10.8.

Question c:

Between 58.3 - 10.8 = 47.5 and 58.3 + 10.8 = 69.1.

3 out of 6(Reagan, Bush and W. Bush), so:

3*100%/6 = 50%

50% of presidents' ages fall within one standard deviation of the mean

Answer:

They will hike 16% of the trail in Georgia.

Step-by-step explanation:

We have that:

The hiking trail is of 2600 miles.

416 of those miles are in Georgia?

What percent of the trail will they hike?

Georgia distance multiplied by 100% and divided by the total distance. So

416*100%/2600 = 16%

They will hike 16% of the trail in Georgia.

Answer:

(0;-4)

Step-by-step explanation:

cuz it cut the y-axis so x have to be 0

y=2*0 -4= -4

so the point is (0;-4)

Answer:

d = 6 , a₁ = - 6 and a₁₀ = 48

Step-by-step explanation:

The nth term of an arithmetic progression is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 6 and a₇ = 30 , then

a₁ + 2d = 6 → (1)

a₁ + 6d = 30 → (2)

Subtract (2) from (1) term by term to eliminate a₁

4d = 24 ( divide both sides by 4 )

d = 6

Substitute d = 6 into (1)

a₁ + 2(6) = 6

a₁ + 12 = 6 ( subtract 12 from both sides )

a₁ = - 6

Then

a₁₀ = - 6 + (9 × 6) = - 6 + 54 = 48

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

Answer:

d=6

a=-6

Step-by-step explanation:

use the formula for the nth term which is

Tn=a+(n-1)d..you will have to create two equations then solve them as a simultaneous equation

T3=6 and T7=30

T3=a+(3-1)d

6=a+2d........... first equation

T7=a+(7-1)d

30=a+6d.......... second equation

then solve them as a simultaneous equation

a+2d=6

a+6d=30

-4d/-4=-24/-4

d=6

a+2d=6

a+2(6)=6

a=6-12

a=-6

I hope this helps

Answer:

4×10⁶ is the answer.........

Answer:

[tex]4 \times {10}^{6} [/tex]

Step-by-step explanation:

[tex] \frac{8 \times {10}^{24} }{2 \times {10}^{18} } [/tex]

[tex] \frac{4 \times {10}^{24} }{ {10}^{18} } [/tex]

[tex] = 4 \times {10}^{6} [/tex]

The hypothesis tests should be​ used is A. a​ two-sample z-test.

An Alternative Hypothesis is the one that disproves the Null Hypothesis in that it believes that indeed there is a change in the dependent variable due to a change in the independent variable.

The Alternative Hypothesis is essentially aims to prove the assertion of the Researcher that there is an effect as a result of the introduction of a variable.

Null Hypothesis believes that no significant difference exists between a change in a dependant Variable as a result of a change in an independent one.

This is the alternative hypothesis because it believes that there was a change in the exam results due to reading while studying.

Therefore, the hypothesis tests should be​ used is A. a​ two-sample z-test.

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Answer:Mark brainliest please

Answer is - 0.5

Step-by-step explanation:

The average rate of change is -0.5 which is the average rate of change from x 1 to x = 4 the answer is -0.5.

It is defined as the change in values of a dependent variable with respect to the independent variables.

As we know an average is a single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have a graph of functions shown in the picture.

Estimate the average rate of change from x 1 to x = 4.

At x = 1,

y = 5

At x = 4

y = 3.5(approx)

The average rate of change = (3.5 - 5)/(4 - 1)

The average rate of change = -1.5/3

The average rate of change = -0.5

Thus, the average rate of change is -0.5 which is the average rate of change from x 1 to x = 4 the answer is -0.5.

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Answer:

Step-by-step explanation:

there are function that "invert" each other..

subtraction inverts addition...

3+2 = 5 ... 5-2 = 3

division inverts multiplication

5*2 = 10 ... 10/2 = 5

Using that concept, "factoring" is basically the inverse of multiplication

3x^2 + 9x can be factored to 3x(x+3)

if you multiply that out it reverts back to the original equation

so  x^2 + 5x + 6 factors to (x+3)(x+2)

if you multiply that out (foil it)

you get x^2 + 5x + 6

Answer:

Step-by-step explanation:

Given inequality:

Since b is negative, when multiplied by b, the inequality changes to opposite direction:

Answer:

The appropriate answer is "523".

Step-by-step explanation:

Given:

Margin of error,

E = 0.04

Confidence level,

= 95%

Educated guess,

[tex]P_g[/tex] = 0.32

According to the question,

[tex]\alpha = \frac{100-95}{100}[/tex]

   [tex]=0.05[/tex]

[tex]\frac{\alpha}{2} = \frac{0.05}{2}[/tex]

   [tex]=0.025[/tex]

[tex]Z_{0.025} = 1.96[/tex]

The sample size will be:

⇒ [tex]n=P_g (1-P_g) (\frac{Z_{\frac{\alpha}{2} }}{E} )^2[/tex]

By substituting the values, we get

       [tex]=0.32(1-0.32)(\frac{1.96}{0.04} )^2[/tex]

       [tex]=0.32\times 0.68\times (49)^2[/tex]

       [tex]=0.32\times 0.68\times 2401[/tex]

       [tex]=522.4576[/tex]

or,

       [tex]=523[/tex]

Answer:

X =224

Y= -10

Step-by-step explanation:

To solve this question it's better to convert the fractions to decimals this way it will be easy to solve.

0.25x+0.6y= -4

0.2x+0.25y=-0.9

0.2(0.25x+0.6y=-4)

0.25(0.2x+0.25y=-0.9)

0.05x+0.12y=-0.8

0.05x+0.06y=-0.225

0.0575y/0.0575=-0.575/0.0575

Y=-10

To find x you replace the value of y in any of the equations

0.25x+0.6y=-4

0.25x+0.6(-10)=-4

0.25x=-4+60

0.25x/0.25=56/0.25

X=224

I hope this helps and sorry if it's wrong

Answer:

 7[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

- 2[tex]\frac{1}{3}[/tex] - ( - 10[tex]\frac{1}{6}[/tex] ) = - 2[tex]\frac{1}{3}[/tex] + 10[tex]\frac{1}{6}[/tex] = - 2[tex]\frac{2}{6}[/tex] + 10[tex]\frac{1}{6}[/tex] = ( 10 - 2 ) + ( [tex]\frac{1}{6}[/tex] - [tex]\frac{2}{6}[/tex] ) = 8 - [tex]\frac{1}{6}[/tex] = 7 + ( [tex]\frac{6}{6}[/tex] - [tex]\frac{1}{6}[/tex] ) = 7[tex]\frac{5}{6}[/tex]

Answer:

H0 : correlation is equal to 0

H1 : correlation is not equal to 0 ;

Pvalue < α ;

There is sufficient evidence

r = 0.945 ;

Pvalue = 0.01524

Step-by-step explanation:

Given the data :

Lemon_Imports_(x) Crash_Fatality_Rate_(y)

230 15.8

264 15.6

359 15.5

482 15.3

531 14.9

Using technology :

The regression equation obtained is :

y = 16.3363-0.002455X

Where, slope = - 0.002455 ; Intercept = 16.3363

The Correlation Coefficient, r = 0.945

H0 : correlation is equal to 0

H1 : correlation is not equal to 0 ;

The test statistic, T:

T = r / √(1 - r²) / (n - 2)

n = 5 ;

T = 0.945 / √(1 - 0.945²) / (5 - 2)

T = 0.945 / 0.1888341

T = 5.00439

The Pvalue = 0.01524

Since Pvalue < α ; Reject the Null and conclude that there is sufficient evidence to support the claim.

Answer:

i dont know

Step-by-step explanation:

9514 1404 393

Answer:

  185°

Step-by-step explanation:

The triangle internal angle at Y is 145° -45° = 100°. Since the triangle is isosceles, the internal angles at X and Z are both (180° -100°)/2 = 40°. Then the bearing of Z from X is the bearing of Y from X less the internal angle at X:

  (45° +180°) -40° = 185°.

Z from X is 185°.

(A)

P(X < 61.25) = P((X - 55.4)/4.1 < (61.25 - 55.4)/4.1)

… ≈ P(Z ≤ 0.1427)

… ≈ 0.5567

(B)

P(X > 46.5) = P((X - 55.4)/4.1 > (46.5 - 55.4)/4.1)

… ≈ P(Z > -2.1707)

… ≈ 1 - P(Z ≤ -2.1707)

… ≈ 0.9850

Answer:

The standard error of the estimated difference is of 0.0313.

Step-by-step explanation:

To solve this question, we need to understand the central limit theorem, and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Brand A:

33 out of 197, so:

[tex]p_A = \frac{33}{197} = 0.1675[/tex]

[tex]s_A = \sqrt{\frac{0.1675*0.8325}{197}} = 0.0266[/tex]

Brand B:

25 out of 290, so:

[tex]p_B = \frac{25}{290} = 0.0862[/tex]

[tex]s_B = \sqrt{\frac{0.0862*0.9138}{290}} = 0.0165[/tex]

What would be the standard error of the estimated difference?

[tex]s = \sqrt{s_A^2+s_B^2} = \sqrt{0.0266^2+0.0165^2} = 0.0313[/tex]

The standard error of the estimated difference is of 0.0313.

Answer:

dogs = 79

dats = 90

fish = 183

Step-by-step explanation:

let the total number of dogs owned be x

no. of cats owned = x+11

no. of fish owned = x+11+x+14= 2x+25

hence,

2x+25+x+11+x=352

4x=316

x=316/4= 79mil

no. of cats owned = 79 + 11 = 90

no. of fish owned = 2(79)+25=183

Answer:

hxvkgyjdh ht yshysfhyys is not working properly configured form and the kids will not work with a little over again. thank you

Answer:

D) d ≥ 2.18

Step-by-step explanation:

d – 0.31 ≥ 1.87

d >_ 1.87 + 0.31

d >_ 2.18

The polyhedron has 7 faces.

To find the faces of the figure.

A polyhedron is a 3D shape that has flat faces, straight edges, and sharp vertices (corners). The regular polyhedron are the tetrahedron, cube, octahedron, icosahedron, and dodecahedron. when many flat surfaces are joined together they form a polyhedron.

Given that:

The given figure,

By the use of  Euler's formula to find the faces.

F + V - E = 2

Where F = Faces, V = Vertices and E = Edges

Given, V = 10 and E = 15

F + 10 - 15 = 2

F - 5 = 2

F = 5 + 2 = 7

Therefore, the polyhedron has 7 faces.

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Answer:

stundeez

Step-by-step explanation:

Nicki Minaj hdhsbskdhsnsk

Answer:

B half the circumference or pi r

Step-by-step explanation:

The base of the parallelogram is pi r

To form the parallelogram the triangles are  removed from the bottom half of the circle and moved to flip the gaps in the top half.

Answer:

The average speed of the 747 was of 600 miles per hour.

Step-by-step explanation:

A small airplane flies 750 miles with an average speed of 250 miles per hour.

Velocity is distance divided by time, and here, we find the time of the small airplane. So

[tex]v = \frac{d}{t}[/tex]

[tex]250 = \frac{750}{t}[/tex]

[tex]250t = 750[/tex]

[tex]t = \frac{750}{250}[/tex]

[tex]t = 3[/tex]

1.75 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time;

This means that it traveled 750 miles in 3 - 1.75 = 1.25 hours.

What was the average speed of the 747?

[tex]v = \frac{d}{t} = \frac{750}{1.25} = 600[/tex]

The average speed of the 747 was of 600 miles per hour.

Answer:

answer is 0.4

Step-by-step explanation:

Answer:

Riverbed Cosmetics and Martinez Fashion

March 18, 2020:

Debit Investment in Martinez Fashion $2,580,000

Credit Cash $2,580,000

To record the acquisition of 10% of the 215,000 shares of common stock

June 30, 2020:

Debit Cash $7,400

Credit Dividend Income $7,400

To record dividend income received ($74,000 * 10%).

December 31, 2020:

Debit Investment in Martinez Fashion $215,000

Credit Unrealized Gain $215,000

To record the unrealized gain from the increase in share price.

Situation 2:

Marin, Inc. and Seles Corporation

January 1, 2020:

Debit Investment in Seles Corporation $84,510

Credit Cash $84,510

To record the 30% of Seles's 31,300 shares acquired at a total cost of $9 per share.

June 15, 2020:

Debit Cash $10,980

Credit Investment in Seles Corporation $10,980

To record the 30% of $36,600 dividends paid to all stockholders.

December 31, 2020:

Debit Investment in Seles Corporation $24,030

Credit Retained Earnings $24,030

To record the company's share of the net income.

Step-by-step explanation:

a) Data and Analysis:

Riverbed Cosmetics and Martinez Fashion

March 18, 2020: Investment in Martinez Fashion $2,580,000 Cash $2,580,000 10% of the 215,000 shares of common stock

June 30, 2020: Cash $7,400 Dividend Income $7,400 ($74,000 * 10%)

December 31, 2020: Investment in Martinez Fashion $215,000 Unrealized Gain $215,000

Situation 2:

Marin, Inc. and Seles Corporation

January 1, 2020: Investment in Seles Corporation $84,510 Cash $84,510

30% of Seles's 31,300 outstanding shares of common stock at a total cost of $9 per share

June 15, 2020: Cash $10,980 Investment in Seles Corporation $10,980

30% of $36,600 paid to all stockholders.

December 31, 2020: Investment in Seles Corporation $24,030 Retained Earnings $24,030

Answer:

L(4)

Step-by-step explanation:

It is L(4)because all sides are equal

Answer:

6/25

Step-by-step explanation:

P(have belief) =76/100 = 19/25

P (does not have belief) = 1-19/25 = 6/25