For what values of b are the vectors ⟨−39,b,3⟩ and ⟨b,b2,b⟩ orthogonal?

Answer:46

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

4 times 10 = 40

6 times 1 = 6

40 plus 6 = 46

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = - 3.5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{1(x - 2) = - 5.5}[/tex]

Distribute 1 through the parentheses

⇒[tex] \sf{x - 2 = - 5.5}[/tex]

Move -2 to right hand side and change it's sign

⇒[tex] \sf{x = - 5.5 + 2}[/tex]

Calculate

⇒[tex] \sf{x= - 3.5}[/tex]

Hope I helped!

Best regards!!

x is -3.5

1 (x - 2) = -5.5

Remove the brackets by dividing both sides by 1:

(x - 2) / 1 = -5.5 / 1

x - 2 = -5.5

Take -2 to the other side so that you can be left with x. When you do this, the sign will change from negative to positive:

x = -5.5 + 2

x = -3.5

x is therefore -3.5

Find out more at https://brainly.com/question/17289207.

Answer:

sqrt(157) ft is the length of the diagonal

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal

a^2 + b^2 = c^2

6^2 + 11 ^2 = c^2

36+ 121 = c^2

157 = c^2

Take the square root of each side

sqrt(157) = sqrt(c^2)

sqrt(157) = c

Answer:

sqrt(157) ft is the length of the diagonal

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal

a^2 + b^2 = c^2

6^2 + 11 ^2 = c^2

36+ 121 = c^2

157 = c^2

Take the square root of each side

sqrt(157) = sqrt(c^2)

sqrt(157) = c

Answer:

The sum of the reciprocal of two numbers are  

  [tex]\frac{1}{x} + \frac{1}{y}= \frac{15}{16}[/tex]

Step-by-step explanation:

Step(i):-

Let  x , y  are  two numbers

Given data the sum of two numbers = 15

         x + y = 15 ...(i)

The product of two numbers = 16

         x y = 16  ...(ii)

we know that

(x-y)² = (x + y)² - 4 x y

         = (15)²- 4(16)

        = 225 - 64

        = 161

x-y = 12.68 ≅13  ...(iii)

Step(ii):-

We have

                  x + y = 15  ...(a)

                  x -y   = 13  ...(b)

Solving (a) and (b)

                  2x = 27.68

                  x = 13.84

Substitute x = 13.84 in equation (i)

                x + y = 15

              13.84 + y = 15

                         y = 15 - 13.84

                        y = 1.16

Step(iii):-

The positive numbers are x = 13.84 and y = 1.16

The sum of the reciprocal of two numbers are

                      [tex]\frac{1}{x} + \frac{1}{y} = \frac{1}{13.84} + \frac{1}{1.16}[/tex]

                                 = [tex]\frac{15}{16}[/tex]

Conclusion:-

The sum of the reciprocal of two numbers are  

  [tex]\frac{1}{x} + \frac{1}{y}= \frac{15}{16}[/tex]

Answer:

Step-by-step explanation:

Using the formula for calculating the speed expressed as;

Speed = Distance covered/Time taken

If I ride in a car for 225 miles at an average speed of 60 miles per hour then the distance covered = 225 miles and the speed of the car = 60miles/hour

Substituting the given parameters into the formula above to get the time taken;

60 = 225/time

cross multiply

60*time = 225

Divide both sides by 60;

60*time/60= 225/60

Time = 3.75 hours

Hence the amount of hours taken during the trip is 3.75hours

Answer: 20 quarters and 63 dimes

Step-by-step explanation:

q = number of quarters

3q+3 =number of dimes

0.25q + 0.10 (3q+3) = 11.30

0.25q + 0.30q + 0.30 = 11.30

0.55q + 0.30 = 11.30

0.55q = 11.00

Q = 20 quarters

3q + 3 =

3 (20) +3 =

63 dimes

Answer:

a) P = 0.274925

b) required confidence interval = (0.2705589, 0.2793344)

c) FALSE

d) FALSE

e) TRUE

f) There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

Step-by-step explanation:

a)

PROBABILITY

since total number of simulations is 40,000 and and number of times Donald Trump wins an Electoral College majority in the 2020 US Presidential Election is  10,997

so the required Probability will be 10,997 divided by 40,000

P = 10997 / 40000 = 0.274925

b)

To get 95% confidence interval for the parameter in question a

(using R)

>prop.test(10997,40000)

OUTPUT

1 - Sample proportion test with continuity correction

data: 10997 out of 40000, null probability 0.5

x-squared = 8104.5, df = 1, p-value < 2.23-16

alternative hypothesis : true p ≠ 0.5

0.2705589  0.2793344

sample estimate

p

0.274925

∴ required confidence interval = (0.2705589, 0.2793344)

c)

FALSE

This is a wrong interpretation of a confidence interval. It indicates that there is 95% chance that the confidence interval you calculated contains the true proportion. This is because when you perform several times, 95% of those intervals would contain the true proportion but as the confidence intervals will vary so you can't say that the true proportion is in any interval with 95% probability.

d)

FALSE

Once again, this is a wrong interpretation of a confidence interval. The confidence interval tells us about the population parameter and not the sample statistic.

e)

TRUE

This is a correct interpretation of a confidence interval. It indicates that if we perform sampling with same sample size (40000) several times and calculate the 95% confidence interval of population proportion for each of them, then 95% of these confidence interval should contain the population parameter.

f)

The simulation results obtained doesn't always comply with the true population. Also, result of one simulation can't be taken for granted. We need several simulations to come to a conclusion. So, we can never ever guarantee based on a simulation result to say that Donald Trump 'Won't' or 'Shouldn't' win.

There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

Answer:

5.89 mL

Step-by-step explanation:

doctor prescribed = 0.75 ml (2x a day) = 1.5 mL

pharmacist labeled = 3/4 teaspoon  (0.75 teaspoon (2x a day) = 1.5 teaspoon

                     convert 1.5 teaspoon to mL = 7.39 mL

therefore,

the excess medication given in one day = 7.39 mL - 1.5 mL = 5.89 mL

Answer:

[tex]\Huge \boxed{\mathrm{5.89\ ml}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The doctor prescribed a baby 0.75 ml of medication twice a day.

[tex]0.75 \cdot 2 = 1.5[/tex]

The baby should take 1.5 ml of medication in one day.

The pharmacist labeled the bottle with instructions to administer 3/4 teaspoon twice a day.

[tex]\displaystyle \frac{3}{4} \cdot 2 = 1.5[/tex]

The instructions told to take 1.5 teaspoons of medication in one day.

[tex]\sf 1.5 \ teaspoons = 7.39 \ ml[/tex]

The excess medication given in one day (in ml):

[tex]\Longrightarrow 7.39-1.5 \\ \\ \\ \Longrightarrow 5.89[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

19m - 10

Step-by-step explanation:

Order of Operation: BPEMDAS

Step 1: Write out equation

5(3m - 2) + 4m

Step 2: Distribute parenthesis

15m - 10 + 4m

Step 3: Combine like terms

19m - 10

Step-by-step explanation:

11b + 5 = 38

11b = 33

b = 3 is the answer

Answer:

$7.50 (paid per hour) times 70 hours (times 2 of 35 hours) = $525 gross pay

Step-by-step explanation:

525 is the gross pay.

Hello there! :D

We know that Caleb has two options:

Let's say that Option A is taking the new job, and Option B is solving for the new one. We know that Option A will leave him with $28,000. Let's do some math to see how much he would make with Option B.

We can do this by calculating how many ours he would work in one year and multiplying that by $11.15.

So, we have 44 hours a week. There are 52 weeks in a year.

52*44= 2288

Now, we can mutltiply that by his hourly wage.

2288*11.15=$25,511.2

Let's see how much time it would take to make the same amount of money since he is allowed to work overtime at half price:

Subtract the amount he makes in Option A by Option B:

28,000-25,511.2= 2488.8

Now we need to divide his hourly wage in half, because he gets paid half as much for overtime (I am assuming the wording is weird here).

11.15/2= 5.575

Now we can find out how many hours he needs to do per year to make the same amount.

2488.8/5.575=432.834 hours

Per week that is 8.3 extra hours! (Sounds like a lot of work)

If I was Caleb, I would take the new job offer, because it is unlikely that he will make much more in his current job.

I hope this helped you and that you have a wonderful day,

Kai xx

Answer:

     {2, 3, 4, 5, 6}

Step-by-step explanation:

You are expected to determine the digits of the given number, then list them between curly brackets. Even if a digit appears in the number more than once, you need list it only once. It is helpful to sort the elements of a set, but not necessary.

__

The digits are 5, 3, 2, 6, 4, 6.

In sequence, the unique digits are 2, 3, 4, 5, 6.

The set of digits in the number is ...

  {2, 3, 4, 5, 6}

_____

"Roster notation" means you simply list the elements of the set.

Answer:

reciprocal of 3 is 1/3..

Answer:

0.33333333333

Step-by-step explanation:

Answer:

simplest form:

[tex]\frac{33 x}{35}[/tex]

Answer:

a

   POPULATION : The population is the surfers , swimmers, snorkelers and spear-fishermen in America

      SAMPLE  : The 1000 records of shark attacks selected

     VARIABLE FOR STUDY:  580 surfers

Step-by-step explanation:

Generally the population is the surfers , swimmers, snorkelers and spear-fishermen in America

  This is because it is the entire pool from which a statistical sample is drawn

 Generally the sample  is  the 1000 records of shark attacks selected

This is because this the number drawn from the population for statistical testing also this  contain the characteristics of the population

  Generally the variable  for study is 58%  of  1000 =  580 surfers

This is  because the this  580 surfer is the major focus of the Researchers study

Answer:

52630

Step-by-step explanation:

Simplify all the words into numbers.

30 + 2000 + 40000 + 600 + 10000

Add.

52630

Answer:

d = - 6

Step-by-step explanation:

56 = -8d +8

-8 .          -8

48 = -8d

__ .    __

-8       -8

-6  = d

Answer:

5.6

Step-by-step explanation:

All you need to do if solve for the cube root of 176

Volume cube = a^3

3root(176) = 5.604

I hope this helps!

-TheBusinessMan

Answer:

5.6 m

Step-by-step explanation:

The volume of a cube can be found using the following formula.

[tex]v=s^3[/tex]

We know the volume of the cube is 176 m³, so we can substitute that value in for v, or volume.

[tex]176 m^3=s^3[/tex]

We want to find the side length. Therefore, we must get the variable, s, by itself on one side of the equation.

s is being cubed. The opposite of cubed is the cube root. So, take the cube root of both sides of the equation.

[tex]\sqrt[3]{176m^2} =\sqrt[3]{s^3}[/tex]

[tex]\sqrt[3]{176m^2} =s[/tex]

[tex]5.60407866 m =s[/tex]

The question tells us to round to the nearest tenth. The 0 in the hundredth place indicates we should leave the 6 in the tenth place.

[tex]5.6m \approx s[/tex]

The side length of the cube is about 5.6 meters.

Answer:

17 feet

Step-by-step explanation:

the seagull is originally 53 feet above water and dives 70 feet down. so 53-70=-17. 17 feet below water.

Answer and explanation:

The political scientist is investigating "proportion of adult residents

..." and so the subjects of his study can only be found among adults. The units are therefore all adults, including registered adults. The frames can include census data showing adults in a particular area, telephone directories, registered voters in the area etc. If the researcher chooses to use personal interview in collecting data for his research, he would easily get response and also be able to explain questions out more, also there is the benefit of less corrupted data. Using telephone interview would save the researcher and respondents costs as there is no need to travel and the researcher could still explain out questions properly. If the researcher chooses to collect data through mailing respondents, there is alot more flexibility as respondents can reply at their convenience and when they are ready, also subjects may wish to not disclose identity with this data collection method

Answer:

Step-by-step explanation:

standard deviation σ =5000

Mean μ = 36500

X = 30000

Probability that tire fails to reach 30000 miles

P(< 30000) = P( z < (30000-36500) / 5000 )

= P ( z < - 1.3 )

= .0968 ( from z table )

refund per mile = .01

refund for 30000 mile = .01 x 30000 = 300

expected cost of promotion

= 300 x .0968

= 29.04

b )

refund of $50 is equivalent to shortage of milage by 50 / .01 = 5000 miles

Probability of miles less than 30000 - 5000 = 25000

P ( X < 25000 ) = P ( z < (25000 - 36500) / 5000 )

P ( z < - 2.3 )

= 0.0107 Answer .

Answer:

(a) The probability that fewer than 3 components will fail is  0.8392.

(b) The mean likely number of failures is 1.44.

Step-by-step explanation:

We are given that a complicated mechanical system contains 8 components. If there is an 18% chance that each component will fail during processing, and components fail independently of each other.

Let X = Number of components fail during processing

The above situation can be represented through the binomial distribution;

[tex]P(X=r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ;x=0,1,2,.....[/tex]

where, n = number of samples (trials) taken = 8 components

            r = number of success = fewer than 3 components will fail

           p = probability of success which in our question is the probability

                 that each component will fail during processing, i.e. p = 18%

SO, X ~ Binom(n = 8, p = 0.18)

(a) The probability that fewer than 3 components will fail is given by = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= [tex]\binom{8}{0}\times 0.18^{0} \times (1-0.18)^{8-0}+ \binom{8}{1}\times 0.18^{1} \times (1-0.18)^{8-1}+ \binom{8}{2}\times 0.18^{2} \times (1-0.18)^{8-2}[/tex]

= [tex]1 \times 1 \times 0.82^{8}+ 8 \times 0.18^{1} \times 0.82^{7}+28 \times 0.18^{2} \times 0.82^{6}[/tex]

= 0.8392

(b) The mean likely number of failures is given by the following formula;

      Mean of X, E(X) = n [tex]\times[/tex] p

                                 = [tex]8 \times 0.18[/tex] = 1.44

Hence, the mean likely number of failures is 1.44.

Answer:

C. 72

Step-by-step explanation:

-3 x -2 = 6

6 x 3 = 18

18 x 4 = 72

Answer:

Step-by-step explanation:

this question involves negative and positive

so simple

Answer:

2 2/3 (D)

Step-by-step explanation:

Answer:

The point at (-7, -5) = a

The point at (9, 3) = b

The point at (-3, 7) = c

The "a" point of the triangle is 12 units away from the center point.

So, 12 x 1/4

=> 12/4

=> 3

So, the "a" point of the dilated figure is  3 units left from the center.

=> So, the dilated "a" point is at (2, -5)

The "b" point is 8/4 (= rise/run = y-axis / x-axis) from the center point.

=> 8/4 = 2

So, the "b" point of the dilated figure is 1 unit right and 2 units up from the center point.

=> So, the dilated "b" point is at (6, -3)

The "c" point is 12/8 units away from the center point.

=> 12/8 x 1/4

=> 3/2

So, the "c" point of the dilated figure is 3 units up and 2 units left from the center point.

=> So, the dilated "c" point is at (3, -2)

The coordinates after the dilation of 1/4 are A'(2,-5), B'(6,-3), and C'( 3,-2) and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the graph the image of the figure after a dilation with a scale factor of 1/4  centered at  (5, -5):

Step 1 - According to the given graph, the coordinates of the triangle are A(-3,7), B(-7,-5), and C(9,3).

Step 2 - According to the given data, the dilation factor is 1/4.

Step 3 - The distance of the center from point A is 12 units.

[tex]=\dfrac{1}{4}\times 12[/tex]

= 3

So, A'(2,-5).

Step 4 - The distance of the center from point B is 8 units.

[tex]=\dfrac{1}{4}\times 8[/tex]

= 2

So, B'(6,-3).

Step 5 - The distance of the center from point C is 12/8 units.

[tex]=\dfrac{1}{4}\times \dfrac{12}{8}[/tex]

[tex]=\dfrac{3}{2}[/tex]

So, C'( 3,-2).

For more information, refer to the link given below:

https://brainly.com/question/2856466

Answer:

Degree 4

Step-by-step explanation:

Expression:

3x^3 + 3x^2y^2 - y^2​

So the expression has degree 4 as per the highest degree of the terms

Answer:

[tex]\Large \boxed{\frac{42}{23}}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{21}{40} \div \frac{23}{80}[/tex]

Performing reciprocal of the second fraction.

[tex]\Rightarrow \displaystyle \frac{21}{40} \cdot \frac{80}{23}[/tex]

Multiplying both fractions.

[tex]\Rightarrow \displaystyle \frac{1680}{920}[/tex]

Simplifying the fraction.

[tex]\Rightarrow \displaystyle \frac{42(40)}{23(40)}[/tex]

[tex]\Rightarrow \displaystyle \frac{42}{23}[/tex]

Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Answer:

A. the brand of car

Step-by-step explanation:

quantitative variable  are those variable whose value can be represented by any number. The number may be fractional, decimal or discrete. But it should have some value like 2, 8, 1000 , 3.555, 4/5 ETC.

______________________________

Given

A. the brand of car

The brand cannot have numerical  value. Brand has value like ferrari, mercedes, SKODA , JEEP etc.

Hence,

A. the brand of car is an example of a quantitative variable that  might not  be used to describe a car in a race. (Answer)

___________________________

Other three

can have numerical values

as

the number of tires can have value 1,2,3,4,5

the number of laps completed can have value from 0, 1, 2, ...to n laps as decided for thr race

average speed can have value 40 km.hr, 45.666 km/hr ...etc

Answer:

the brand of car

This is the answer edge 2020

Step-by-step explanation: