Electrical Resistance The electrical resistance R of a wire varies inversely with the square of its diameter d. If a 25-foot wire with a diameter of 2 millimeters has a resistance of 0.5 ohm, find the resistance of a wire having the same length and a diameter of 3 millimeters.

Answer:

The answer is C : $115.54

Step-by-step explanation:

If you add every single items cost together, the total is $109.00

60 + 14 = 74

10 + 25 = 35

74 + 35 = $109

You then caculate what 6% percent of 109 is = $6.54

After that, you add the total and percent together

$6.54 + $109.00  = $115.54

Answer:answer is c

Step-by-step explanation:I took edge 2022

Answer:

width = 15 ft

length = 18 ft

Step-by-step explanation:

lets assume the width is w, and length is l.

For the first equation, we all know that a rectangle is 2 widths and 2 lengths added up, which in "math" language looks like this:

2w+2l= 66

for the second equation, the problem says that the length is 3 ft greater than the width. From there, we can derive the equation:

w+3 = l

Now you can substitute one of the variables, length or width, but it is easier to do length. The equation ends up being:

2(w+3) + 2w = 66

Distributive property:

2w+6+2w = 66

which is equal to:

4w+6 = 66

which finally is:

w=15 ft.

Now that we know the width, we can just add 3 to the width to get the length, according to the problem. You get:

L = 18 ft.

Answer:

16

Step-by-step explanation:

just divide 528 by 33

Answer: x=-19

Step-by-step explanation:

Answer:

-1 1/20.

Step-by-step explanation:

0.05 = 5/100

= 1/20

So -1.05 = -1 1/20.

Answer:

10

Step-by-step explanation:

Put the h+2 on the outside and 10h+20 on the inside

h+2 can go into 10h+20 ten times.

So the final answer is 10

Answer:

3

Step-by-step explanation:

20-9=11

11-8=3

3 is the final answer

Answer:

600 x 20 = 12000

Step-by-step explanation:

582 rounds to 600, and 23 rounds to 20.

The equation said the answer was equal to 12,000 and 600 multiplied by 20 equals 12,000.

Answer:

x = 67.5°

y = 27.5°

Step-by-step explanation:

Find x:

m<CAJ = 22.5° (given)

<CAJ and <DAK are vertical angles. Vertical angles are congruent, therefore,

m<DAK = m<CAJ

m<DAK = 22.5° (substitution)

m<BAK = right angle (AB is perpendicular to JK)

Therefore,

m<BAK = 90°

m<DAK + x° = m<BAK (Angle addition postulate)

22.5° + x° = 90° (substitution)

Subtract 22.5 from both sides

x = 90° - 22.5°

x = 67.5°

Find y:

m<CAH = 130° (given)

m<CAH + m<DAK + m<HAK = 180° (Angles on a straight line)

130° + 22.5° + m<HAK = 180° (Substitution)

152.5 + m<HAK = 180°

Subtract 152.5 from both sides

m<HAK = 180° - 152.5°

m<HAK = 27.5°

y = m<HAK (vertical angles are congruent)

y = 27.5° (substitution)

The value of x and y from the figure is 27.5 and 62.5 degrees

To get the value of y, we will take the sum of angle on a straight line JK to have:

22.5 + 130 + x = 180

152.5 + x = 180

x = 180 - 152.5

x = 27.5 degrees

For the angle x, the sum of x and y from the diagram is complementary. Hence;

x + y = 90

y = 90 - x

y = 90 - 27.5

y =  62.5 dgrees

Hence the value of x and y from the figure is 27.5 and 62.5 degrees

Learn more on angles here: https://brainly.com/question/24775470

Answer:

0.948

Step-by-step explanation:

Given that:

Number of character ID = 32

Numbers = 0 - 9 = 10

Alphabets = A - F = 6

Likelihood of each number or alphabet is equal

Probability that atleast 16 characters in the ID are numbers

Probability of success (p) = required outcome / Total possible outcomes

p = 10/(10 + 6) = 5/8

P(at least 16 numbers), similar to 1 - p(at most 15)

Using the specified calculator :

Binomcdf(number of trials, p, 15) = 0.0520

1 - 0.0520 = 0.948

Answer:

tbh i think it b or c

Step-by-step explanation:

i domnt really know about slope that well but i think it is c

Answer:

i think it is a

Step-by-step explanation:

Complete question :

The regression equation y = 4x + 20 approximates the number of people attending a picnic, y, given the number of flyers used to advertise it, x.

Which statement is true?

a.) For every extra person attending a picnic, the number of flyers used to advertise it increases by 20.

b.) For every extra person attending a picnic, the number of flyers used to advertise it increases by 4.

c.) For every extra flyer used in advertising, the attendance increases by 20 people.

d.) For every extra flyer used in advertising, the attendance increases by 4 people.

Answer: d.) For every extra flyer used in advertising, the attendance increases by 4 people.

Step-by-step explanation:

Given the regression equation; y = 4x + 20;

Where y = number of people attending a picnic

x = number of flyers used to advertise it

In the equation;

y = predicted variable ; x = predictor variable ; gradient or slope = 4

The slope or gradient is the rate of change un the response variable with respect to a unit change in the independent variable.

Here, the slope value is +4 and is thus interpreted to mean that, for each 1 unit change in the independent variable (number of flyers shared), there is a corresponding increase in the response variable (number of attendees) by a unit of 4.

Answer:

d.) For every extra flyer used in advertising, the attendance increases by 4 people.

Step-by-step explanation:

Answer: The number of car stereos had a CD player only = 72

Step-by-step explanation:

As per given,

Number of car stereos had CD player = 112

Number of car stereos had both CD and a cassette player= 40

Then, the number of car stereos  had a CD player only = (Number of car stereos had CD player ) -(Number of car stereos had both CD and a cassette player)

= 112- 40

= 72

Hence, The number of car stereos had a CD player only = 72

Answer:

4

Step-by-step explanation:

Answer:

0 times because 8 is greater than 0

Step-by-step explanation:

Answer:

the answer would be 0 because if you try to put 8 into 0, it wont so your answer would be 0

Answer:

Step-by-step explanation:

Given data

mass m=37.72g

density=5.55 g/cm^3

volume v=?

We know that density is

density = mass/volume

Substituting into the expression we have

5.55 g/cm^3=37.72/v

cross multiply we have

5.55v=37.72

v=37.72/5.55

v=6.79cm^3

Answer:

a) The function is equal to 0 when [tex]x = 0[/tex].

b) The function is equal to 30 when [tex]x = 3[/tex].

c) The function is equal to -12 when [tex]x = -3[/tex].

d) The function is equal to [tex]a\cdot (a+7)[/tex] when [tex]x = a[/tex].

e) The function is equal to [tex]x\cdot (x-7)[/tex] when [tex]x = -x[/tex].

Step-by-step explanation:

To this respect we must keep in mind that this exercise consists in evaluating given function at different values. Let [tex]f(x) = x^{2}+7\cdot x[/tex] the function to be evaluated:

a) [tex]x = 0[/tex]

[tex]f(0) = 0^{2}+7\cdot (0)[/tex]

[tex]f(0) = 0[/tex]

The function is equal to 0 when [tex]x = 0[/tex].

b) [tex]x = 3[/tex]

[tex]f(3) = 3^{2}+7\cdot (3)[/tex]

[tex]f(3) = 30[/tex]

The function is equal to 30 when [tex]x = 3[/tex].

c) [tex]x = -3[/tex]

[tex]f(-3) = (-3)^{2}+7\cdot (-3)[/tex]

[tex]f(-3) = -12[/tex]

The function is equal to -12 when [tex]x = -3[/tex].

d) [tex]x = a[/tex]

[tex]f(a) = a^{2}+7\cdot a[/tex]

[tex]f(a) = a\cdot (a+7)[/tex]

The function is equal to [tex]a\cdot (a+7)[/tex] when [tex]x = a[/tex].

e) [tex]x = -x[/tex]

[tex]f(-x) = (-x)^{2}+7\cdot (-x)[/tex]

[tex]f(-x) = x^{2} -7\cdot x[/tex]

[tex]f(-x) = x\cdot (x-7)[/tex]

The function is equal to [tex]x\cdot (x-7)[/tex] when [tex]x = -x[/tex].

Answer:

pq - (p-q) = -11 checked

Step-by-step explanation:

p= -4, q = 5,

pq= -20, p-q = (-4) - 5 = -9

pq - (p-q) = -20 - (-9) -20 +9 = -11

Answer:

5,109

Step-by-step explanation:

:) please give brainliest

Answer:

Multiply 7 by 3.

Step-by-step explanation:

In PEMDAS, parenthesis, exponents, multiply, divide, addition, subtratcion, you start with parenthesis first. Then you look inside the parenthesis, and ythere is no division problems. So you do the multiplication inside the parenthesis.

Answer:

- 5

Step-by-step explanation:

Step 1:

g ( x ) = - 3x + 1      Function

Step 2:

g ( x ) = - 3 ( 2 ) + 1       Input x

Step 3:

g ( x ) = - 6 + 1      Multiply

Answer:

g ( x ) = - 5      Add

Hope This Helps :)

Answer:

7(y+2)=6

Step-by-step explanation:

its right

Answer:

if 2.4 is there it will become -2. 4

Answer:

The minimum IQ score will be "126".

Step-by-step explanation:

The given values are:

Mean

[tex]\mu = 100[/tex]

Standard deviation

[tex]\sigma=15[/tex]

Now,

⇒ [tex]P(z>x)=4 \ percent \ i.e., 0.04[/tex]

⇒ [tex]P(z>\frac{x- \mu}{\sigma} )=0.04[/tex]

⇒ [tex]1-P(z \leq \frac{x-100}{15})=0.04[/tex]

⇒ [tex]\frac{x-100}{15}=z0.96[/tex]

            [tex]=NORMDIS(z=0.96)[/tex]

            [tex]=1.751[/tex]

⇒ [tex]x=100+15\times 1.751[/tex]

      [tex]=126.265 \ i.e., 126[/tex]

9514 1404 393

Answer:

  no

Step-by-step explanation:

The ratio of width to height for the different photos are ...

  student: 1 : 3/2 = (2/2):(3/2) = 2 : 3

  small: 2 : 5/2 = (4/2):(5/2) = 4 : 5

  medium: 4 : 5 . . . (same as small)

  large: 8 : 10 = 4 : 5 . . . (same as small and medium)

The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.

Answer:

195 tickets

Step-by-step explanation:

If the dance teacher spent the whole budget, then that means you can just divide the budget by the cost of tickets:

5,460 / 28, which is 195 tickets.

Answer:

(a) 0.047

(b) 0.613

(c) 0.387

Step-by-step explanation:

In a sample of 1000 U.S. adults 217 think that most celebrities are good role models.

The proportion of U.S. adults who think that most celebrities are good role models is, p = 0.217.

Two U.S. adults are selected from this sample without replacement.

Let X denote the number of U.S. adults who think that most celebrities are good role models.

Both the individuals are independent of each other.

The random variable X follows a binomial distribution with parameters n = 2 and p = 0.217.

The probability mass function of X is:

[tex]P(X=x)={2\choose x}(0.217)^{x}(1-0.217)^{2-x};x=0,1,2[/tex]

(a)

Compute the probability that both adults think most celebrities are good role models as follows:

[tex]P(X=2)={2\choose 2}(0.217)^{2}(1-0.217)^{2-2}\\=1\times 0.047089\times 1\\=0.047[/tex]

Thus, the probability that both adults think most celebrities are good role models is 0.047.

(b)

Compute the probability that neither adult thinks most celebrities are good role models as follows:

[tex]P(X=0)={2\choose 0}(0.217)^{0}(1-0.217)^{2-0}\\=1\times 1\times 0.613089\\=0.613[/tex]

Thus, the probability that neither adult thinks most celebrities are good role models is 0.613.

(c)

Compute the probability that at least one of the two adults thinks most celebrities are good role models  as follows:

[tex]P(X\geq 1)=1-P(X<1)\\=1-P(X=0)\\=1-0.613\\=0.387[/tex]

Thus, the probability that at least one of the two adults thinks most celebrities are good role models  is 0.387

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

A friend of mine is giving a dinner party. His current wine supply includes 8 bottles of zinfandel, 10 of merlot, and 12 of cabernet (he only drinks red wine), all from different wineries. a. If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? b. If 6 bottles of wine are to be randomly selected from the 30 for serving, how many ways are there to do this? c. If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? d. If 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? e. If 6 bottles are randomly selected, what is the probability that all of them are the same variety?

Solution:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]

Permutation is the number of ways to select k items from n distinct items in a specific order.

The formula to compute the permutation or arrangement of k items is:

 [tex]^{n}P_{k}=\frac{n!}{(n-k)!}[/tex]

(a)

The number of ways to serve 3 bottles of zinfandel, with a specific order is:

[tex]^{8}P_{3}=\frac{8!}{(8-3)!}=\frac{8\times7\times6\times5!}{5!}=336[/tex]

(b)

The number of ways to select 6 bottles from the 30 is:

[tex]{30\choose 6}=\frac{30!}{6!(30-6)!}=\frac{30!}{6!\times 24!}=593775[/tex]

(c)

The number of ways to select two bottles of each variety is:

[tex]{8\choose 2}\times {10\choose 2}\times {12\choose 2}=\frac{8!}{2!\times6!}\times \frac{10!}{2!\times8!}\times \frac{12!}{2!\times10!}[/tex]

                         [tex]=\frac{12!}{(2!)^{3}\times 6!}\\\\=83160[/tex]

(d)

Compute the probability of selecting two bottles of each variety if 6 bottles are selected:

[tex]P(\text{2 bottles of each})=\frac{83160}{593775}=0.14[/tex]

(e)

Compute the probability of selecting the same variety of bottles, if 6 bottles are selected:

[tex]P(\text{Same Variety})=\frac{{8\choose 6}+{10\choose 6}+{12\choose 6}}{{30\choose 6}}[/tex]

                           [tex]=\frac{28+210+924}{593775}\\\\=0.0019570\\\\\approx 0.002[/tex]