Suppose that 35% of all voters voted for a recall. Find the mean of the sampling distribution of the proportion of the 3150 people sampled in an exit poll who voted for the recall.

Answer:

m=3

Step-by-step explanation:

i hope today brings you joy and happiness :)))

Answer:

The answer is 3

Step-by-step explanation:

This is how you solve it

3m-2.4=6.6

   +2.4 .  +2.4

3m=9

/3 .  /3

m=3

Answer:

4.5% (1dp)

Step-by-step explanation:

10500/11000x100=95.4545454545%

100-95.4545454545= 4.5454545455%

=4.5% (1dp)

I hope this helps!

Answer:

4.762%

Step-by-step explanation:

Change:

11,000 - 10,500 = 500

% change:

500/10500 × 100

100/21

4.761904762%

Answer:

19 5/8 miles

Step-by-step explanation:

First you convert all fractions into improper fraction which are

5 4/8 = 44/8

7 4/8 = 60/8

6 5/8 = 53/8

Then add just the numerators together as the denominator stays the same which looks like 157/8

Then see how many times 157 goes into 8 which is 19 with 5 left over

So you rewrite the answer as 19 5/8 miles

Answer:

x = 5

Step-by-step explanation:

To solve this equation for x, subtract 2x from both sides, obtaining:

x = 5.

Answer:

Incomplete question check attachment for diagram

Step-by-step explanation:

Two parallel lines, cross by a transversal

The angle between one of the line and the transfer is 125° and this angle is opposite to angle d, so it is vertical opposite angle

Vertically Opposite Angles are the angles opposite each other when two lines cross, so it was the transversal line that cross the parallel lines

and we know that, vertical opposite angle is equal.

Then, d = 125°

Answer:

(C) d=125

Step-by-step explanation:

Answer:

128cm

Step-by-step explanation:

since there are 4 triangles that have an  area of 8*4 each, you can multiply 8*4 together to get 32. Then you would multiply 32 by 4 to get the entire area of the whole figure.

To find the probability that a randomly selected person is shorter than 61.6 inches, calculate the z-score and use a standard normal distribution table or calculator to find the corresponding probability.

To find the approximate probability that a randomly selected person in the sample is shorter than 61.6 inches, we can use the standard normal distribution.

First, we need to calculate the z-score for 61.6 inches using the formula:
z = (x - mean) / standard deviation

z = (61.6 - 64.2) / 2.6 = -1.0

We can then use a standard normal distribution table or a calculator to find the area to the left of z = -1.0, which represents the probability that a randomly selected person is shorter than 61.6 inches. The probability is approximately 0.1587, or 15.87%.

Answer:

The radius of the duct is [tex]5\frac{15}{88}\ in[/tex] or [tex]5.17\ in[/tex]

Step-by-step explanation:

we know that

At the point of tangency, the tangent to a circle and the radius are perpendicular lines

so

In the right triangle formed

Applying the Pythagorean Theorem

[tex](r+2.75)^2=r^2+6^2[/tex]

Remember that

[tex]2.75\ in=2\frac{3}{4}=\frac{11}{4}\ in[/tex]

substitute

[tex](r+\frac{11}{4})^2=r^2+6^2[/tex]

solve for r

[tex]r^2+\frac{11}{2}r+\frac{121}{16}=r^2+36\\\frac{11}{2}r=36-\frac{121}{16}[/tex]

Multiply by 16 both sides

[tex]88r=576-121\\88r=455\\r=\frac{455}{88}\ in[/tex]

convert to mixed number

[tex]r=\frac{455}{88}\ in=\frac{440}{88}+\frac{15}{88}=5\frac{15}{88}\ in[/tex] ----> exact value

The approximate value is [tex]5.17\ in[/tex]

Answer:

a. 4 possible outcomes.

b. Possible outcomes - the spinner will fall on a 17, 3, 11 or N.

c. {17, 3, 11, N}

d. P(z) = 1/4.

Step-by-step explanation:

The probability of a specific value on one spin  P(z) = 1/4.

a) There are four possible outcomes in the experiment.

b) The possible outcomes are 17, 3, 11, and N.

c) The sample space for the experiment is  {17, 2, 11, N}.

d) P(z) = 1/4.

It is the total number of possible outcomes from a given set.

We have,

The square spinner has the following sections.

17, 3, 11, N.

Now,

a)

The number of possible outcomes.

= 17, 3, 11, N

= 4

b)

The possible outcomes are:

= 17, 3, 11, and N

c)

The sample space.

= {17, 3, 11, N}

d)

The probability of getting one specific outcome.

P(z) = 1/4

Thus,

The answers for a), b), c), and d) are given above.

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Answer:

(B) (7x - 6 ) ( 7x + 6)

Step-by-step explanation:

49x^2 - 36

This is the difference of squares

(7x)^2 - 6^2

We can factor this as

(a^2 -b^2) =(a-b) (a+b)

(7x)^2 - 6^2 = (7x-6) (7x+6)

answer 1 is : 144

Answer2:21.60

Answer:

144 and 21.60

Step-by-step explanation:

Answer:

t represents the number of seconds after the rocket is released

Answer:

A

Step-by-step explanation:

answer is the number of seconds after the rocket is released

Answer:

Keith charges more per person

Step-by-step explanation:

10 = 325

20 = 525

30 = 725

Zoey's price goes up 200 for every 10 people making her setup fee 125 (325-200=125). 200 per 10 people is 20 per person

Step-by-step explanation:

Cost of 10 miles = 0.25 × 10 = 2.5

When we add 5 = 2.5 + 5 = 7.5

Option A is the correct answer

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} - \frac{1}{2} =\frac{2x2}{3x3} -\frac{1x3}{2x3} =\frac{4}{6} -\frac{3}{6} =\frac{4-3}{6} =\frac{1}{6}[/tex]

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}-\frac{1}{2}=\\ \\=\frac{2*2-1*3}{6}\\ \\=\frac{4-3}{6}\\ \\=\frac{1}{6}[/tex]

Answer:

56%

Step-by-step explanation:

U reported me and the answer got deleted so

14:25*100 =

( 14*100):25 =

1400:25 = 56

here's your step by step explanation

and pls mark me brainliest

bye

Answer:

56%

Step-by-step explanation:

Is means equals and of means multiply.  Let P be the percent

14 = P * 25

Divide each side by 25

14/25 = 25P/25

.56 = P

Change to percent form

56% =P

Answer:

The probability is 5/7

Step-by-step explanation:

Please check the attached files for more explanation

Answer:

16 pi cm^2 or 50.27 cm^2

Step-by-step explanation:

In this question, we are told that by using a particular mug of coffee with a certain diameter, a baker was able to circular cookies from a big sheet of cookie dough so we need to know the area of each of the cookie.

Now this is pretty much straightforward. since we do know the diameter of the mug, finding the area of the cookie is simple!

How do we do this?

what to do simply is to apply the formula of a circle to find the area of a circle of diameter 8cm

mathematically, the area of a circle A = pi * r^2

Since we are given D in the question, we know quite well that we need r from the equation. Mathematically, d = 2r or more specifically r = d/2 = 8/2 = 4cm

now let’s find the area of a circle of radius 4cm

A = pi * 4^2 = 16 pi cm^2 or simply 50.27 cm^2

Answer:

It will take 9 hours with 4 painters  to paint 720 feet of  fence.

Step-by-step explanation:

Given that,

The time needed to paint a fence varies directly with the length of the fence

[tex]t\propto l[/tex] .......(1)

and inversely with the number of painters

[tex]t\propto \frac1P[/tex].....(2)

Combination of (1) and (2) is

[tex]t\propto \frac lP[/tex]

where t represents time, [tex]l[/tex] represents length of fence, P represents number of painters.

Again we can write the above equation as

[tex]\frac{t_1}{t_2}=\frac{\frac{l_1}{l_2}}{\frac{P_1}{P_2}}[/tex]

[tex]\frac{t_1}{t_2}=\frac{l_1P_2}{l_2P_1}[/tex]

Given that,

It takes 7 hours with 2 painters  to paint 280 feet of fence .

We need to find time to paint 720 feet of fence with 4 painters.

[tex]t_1[/tex]=7  hours, [tex]l_1[/tex]=280 feet, [tex]P_1[/tex]=2,

[tex]t_2[/tex]=? , [tex]l_2[/tex] = 720 feet, [tex]P_2[/tex]=4

[tex]\therefore \frac{7}{t_2}=\frac{280\times 4}{720\times 2}[/tex]

[tex]\Rightarrow \frac{t_2}{7}=\frac{720\times 2}{280\times 4}[/tex]

[tex]\Rightarrow {t_2}}=\frac{720\times 2\times 7}{280\times 4}[/tex]

[tex]\Rightarrow t_2=9[/tex]

It will take 9 hours to paint 720 feet of  fence with 4 painters.

The time it takes for four painters to paint a 720 feet fence is calculated using direct and inverse variation, resulting in 9 hours, using the constant of variation determined from the initial condition provided by the student.

Direct and Inverse Variation in Painting Jobs

The student's question involves direct and inverse variation, which means we need to solve for the time based on the length of the fence and the number of painters. Initially, it takes seven hours for two painters to paint 280 feet of fence. This scenario sets up our proportion. When the length of the fence and the number of painters changes, the time to paint the fence will also change according to the direct and inverse relationships.

To find the time it takes for four painters to paint 720 feet of fence we use the formula [tex]T = (k \times L) / P[/tex], where T is the time needed, L is the length of the fence, P is the number of painters, and k is a constant of variation. Using the initial condition, we can solve for k by rearranging the formula to [tex]k = (T \times P) / L[/tex]. Substituting the initial condition values, we find that [tex]k = (7 hours \times2 painters) / 280 feet[/tex], which simplifies to k = 1/20.

To find the time it will take for four painters to paint 720 feet, we use the formula with our calculated constant of variation and the new conditions: T = (1/20 × 720 feet) / 4 painters, which gives us T = 9 hours. Therefore, it will take four painters 9 hours to paint 720 feet of fence.

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Answer:

The tree is 17.5 ft tall

Step-by-step explanation:

We can use proportions to solve this.

Notice that Emily (5 feet tall) and her shadow (8 feet long) constitute the two legs of a right angle triangle (see attached image).

The nearby tree  (unknown height H), will also cast a shadow (28 ft long) with the same inclination as Emily does due to the unique position of the sun relative to them.

Then we can use the proportion associated with the sides of similar triangles:

[tex]\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft}[/tex]

Then, we can solve for H in the equation:

[tex]\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft} \\H=\frac{28*5}{8} \,ft\\H=17.5 \.ft[/tex]

The probability that an individual's clotting time will be less than 6 seconds or greater than 11 seconds, under a normal distribution with a mean of 7.45 and a standard deviation of 3.6, is approximately 50.9%.

The subject in question pertains to the calculation of probabilities using the Normal Distribution. Given that the mean clotting time is 7.45 seconds with a standard deviation of 3.6 seconds, we need to find the probability that the clotting time will be either less than 6 seconds or more than 11 seconds.

First, we convert the clotting times to z-scores (the number of standard deviations away from the mean). The z-score for 6 seconds is (6-7.45)/3.6 = -0.40, and the z-score for 11 seconds is (11-7.45)/3.6 = 0.98. We can look these z-scores up in a Z-table to find the corresponding probabilities.

From the Z-table, we find that the probability of a z-score less than -0.40 is 0.345. The probability of a z-score less than 0.98 is about 0.836. Because we're asked to calculate the probability that the clotting time is either less than 6 seconds or greater than 11 seconds, we need to calculate the probabilities at the tails of the distribution. So we subtract the probability for 0.98 (0.836) from 1 to find the probability that clotting time is greater than 11 seconds, which is 0.164.

The probability of the clotting time being either less than 6 seconds or more than 11 seconds would be the sum of the two probabilities: 0.345 + 0.164 = 0.509 or 50.9%.

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The probability that an individual's blood clotting time is less than 6 seconds or greater than 11 seconds is approximately 0.5057, calculated using the Z-scores and the standard normal distribution.

The mean clotting time of blood is 7.45 seconds, with a standard deviation of 3.6 seconds. To find the probability that an individual's clotting time will be less than 6 seconds or greater than 11 seconds under normal distribution, we will use the Z-score formula:

Z = (X - mean) / standard deviation

Using Z-tables or standard normal distribution calculators:

Therefore, the total probability is:

P(X < 6 or X > 11) = P(Z < -0.40) + P(Z > 0.99) ≈ 0.3446 + 0.1611 = 0.5057

Answer:

The discrimant of this equation is 144.

Step-by-step explanation:

First you have to move all the variables to one side to make the equation/expression into 0 by substracting 8x² to both sides :

9x² + 14x + 13 = 8x²

9x² + 14x + 13 - 8x² = 8x² - 8x²

x² + 14x + 13 = 0

It is given that the formula of discriminant is, D = b² - 4ac where a&b&c represent the number of the equation, ax²+bx+c = 0 :

x² + 14x + 13 = 0

D = b² - 4ac

= 14² - 4(1)(13)

= 196 - 52

= 144

Final answer:

The discriminant of the quadratic equation 9x²+14x+13=8x² is found by simplifying to x²+14x+13=0 and using the formula b² - 4ac, yielding a result of 144.

Explanation:

The student's question involves finding the discriminant of the quadratic equation 9x² + 14x + 13 = 8x². We simplify this equation by subtracting 8x² from both sides, resulting in x² + 14x + 13 = 0.

The discriminant of a quadratic equation ax² + bx + c = 0 is given by b² - 4ac. For this equation, a = 1, b = 14, and c = 13. Substituting these into the discriminant formula gives (14)² - 4(1)(13) = 196 - 52 = 144.

Since the discriminant is positive, there are two distinct real roots to the equation. This could be relevant if we were to graph the equation, indicating where it crosses the x-axis, or if further solving for x was required.

Answer:

16

Step-by-step explanation:

It's hard to tell what the what the problem means by "not like the others", but here's a guess.

16 is a perfect square. 16 = 4^2

None of the other numbers are perfect squares.

Also, 16 is not divisible by 3. All other numbers are divisible by 3.

Answer:

median

Step-by-step explanation:

Answer:

I think its b

Step-by-step explanation:

A=2πrh+2πr2=2·π·5·12+2·π·52≈534

Answer:

Step-by-step explanation:

250 divided by 20= 12.5

So 12.5 miles per gallon.

12.5. The answer ask for how many miles in 1 gallon. So, you do 250 divided by 20. 250 divided by 20 is 12.5, so he will drive 12.5 or 12 1/2 miles using each gallon of gas.

ANSWER : 12.5 or 12 1/2

Answer:

The answer to your question is  x = 14.7  

Step-by-step explanation:

Data

∠A = 20°

∠B = 46

a = 7

b = x

Process

To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.

The law of sines for this problem is

                   x / sin 46 = 7 / sin 20

-Solve for x

                          x = 7 sin 46 / sin 20

-Simplification

                          x = 7 (0.719) / 0.342

                          x = 5.035/0.342

-Result

                         x = 14.7  

Answer:

{-11,8,13}

Step-by-step explanation:

The domain is the input values (or x)

The range is the output values (or y)

The range is (-11,8,13)

Answer:

BET! 0.3 + 0.6 + 0.9 + 0.2 + 0.4 = 2.4

I hope this is what you mean I was kind of confused

Step-by-step explanation:

Answer:

1.- dR/dt   = 14 $/day

2.- dC/dt =  4.55 $/day

3.- dP/dt = 7,7 $/day

Step-by-step explanation:

By definition Profit is equal to Revenue minus total costs then.

We have

R(x) = 2*x

C(x) = 0,01*x²  + 0,4*x  + 30

Then Profit  P(x)  =  2*x  -  0,01*x²  - 0,4*x  - 30

P(x) = - 0.01*x²  +  1.6*x  - 30

1.- Find rate of change total revenue per day, when

x = 25  and dx/dt = 7 u/day

R(x) = 2*x

dR/dt   = 2*dx/dt      ⇒   dR/dt   = 2* 7

dR/dt   = 14 $/day

2.-

C(x) = 0,01*x²  + 0,4*x  + 30

dC/dt = 0,01*x* dx/dt  + 0,4*dx/dt

dC/dt = 0,01*25*7  +  0.4*7

dC/dt = 1.75 + 2.8

dC/dt =  4.55 $/day

3.-

P(x) = - 0.01*x²  +  1.6*x  - 30

dP/dt = - 2*0,01*x*dx/dt  + 1.6*dx/dt

dP/dt = - 2*0,01*25*7  + 1.6*7

dP/dt = - 3,5 + 11.2

dP/dt = 7,7 $/day

Answer:

Step-by-step explanation:

Given information

[tex]R(x)=2x\\C(x)=0.01x^2+0.4x+30[/tex]

When,

[tex]x=25\\dx/dt=7[/tex] units per day

As we know that

Profit = Revenue - Cost

Then, the Profit,

[tex]P(x)=2x-0.01x^2+0.4x-30\\P(x)=-0.01x^2+1.6x-30[/tex]

Now, The total Revenue per day

[tex]R(x)=2*x[/tex]

By differentiating both side with respect to [tex]t[/tex]

[tex]\\dR/dt=2*dx/dt\\dR/dt=2*7\\dR/dt=14[/tex]

Hence the rate of change of total revenue is $14 per day.

Similarly,

The total cost per day

[tex]C(x)=0.01x^2+0.4x+30[/tex]

By differentiating both side with respect to [tex]t[/tex]

[tex]dC/dT=0.01*x*dx/dt+0.4*dx/dt\\dC/dt=0.01*25*7+0.4*7\\dC/dt=1.75+2.8\\dC/dt=4.55[/tex]

Hence the rate of change of total cost is $4.55 per day

And the total Profit per day

[tex]P(x)=-0.01x^2+1.6x-30\\[/tex]

By differentiating both side with respect to [tex]t[/tex]

[tex]dP/dt=2*(-0.01)*x*dx/dt+1.6*dx/dt\\dP/dt=-2*(-001)*25*7+1.6*7\\dP/dt=-3.5+11.2\\dP/dt=7.7[/tex]

Hence the rate of change of total Profit is $7.7 per day

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