If p and q vary inversely and p is 15 when q is 17, determine q when p is equal to 51

Using confidence interval concepts, it is found that:

a. The 95% confidence interval is (1080, 1166).

b. The margin of error would be greater than 43.

Item a:

The interval is the sample mean plus/minus the margin of error, hence:

[tex]1123 - 43 = 1080[/tex]

[tex]1123 + 43 = 1166[/tex]

The 95% confidence interval is (1080, 1166).

Item b:

Hence: The margin of error would be greater than 43.

A similar problem is given at https://brainly.com/question/25675821

Answer:

See attached

Expressions matching the properties

The associative property:

The commutative property:

Distributive property:

Answer:

[tex](A) - \sqrt2[/tex]

Step-by-step explanation:

Let's find the velocity and acceleration first:

[tex]v(t) = \dot x(t) = cos\ t -( -sin \ t) = cos \ t + sin \ t\\a(t) = \ddot x(t) = -sin\ t + cos\ t = cos\ t - sin t[/tex]

(you can also rewrite the position as [tex]\sqrt 2 sin(t-\frac\pi4)[/tex] and determine velocity and acceleration from there, but I do prefer handling it as a sum for the sake of the derivatives)

At this point, the first time when the velocity is 0 is given by

[tex]cos\ t + sin\ t = 0 \rightarrow cos\ t = - sin t \rightarrow tan\ t = -1 \\t = \frac34 \pi = 2.36s[/tex]

At this point the acceleration is (let's use the first value of t for the sake of our sanity!)

[tex]cos (\frac34 \pi) - sin \frac 34 pi = -\frac1{\sqrt2} -\frac1{\sqrt2} = \sqrt 2 = -1.41[/tex]

Answer:

less than or equal to 200 miles

Step-by-step explanation:

let 'm' = mileage

0.21m + 40 ≤ 82

subtract 40 from each side to get:

0.21m ≤ 42

divide each side by 0.21 to get:

m ≤ 200

Answer:

When you explain the problem, it makes it easier to understand how you solved it.​

I hope this helped at all.

Answer:

b = 11.81 m

Step-by-step explanation:

b = c . sinB = 17sin44 = 11.81

Answer:

f(g(- 3) ) = - 5115

Step-by-step explanation:

Evaluate g(- 3) then substitute the value obtained into f(x)

g(- 3) = (- 3)² + 6(- 3) - 7 = 9 - 18 - 7 = - 16 , then

f(- 16) = (- 16)³ - 4(- 16)² + 5

        = - 4096 - 4(256) + 5

        = - 4096 - 1024 + 5

        = - 5115

Answer:

Step-by-step explanation:

Answer:

21 min

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

Just do 5/8 = 40/x, and cross-multiply to get:

320 = 5x,

And x will be equal to 62

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{4+3}{3}\implies \cfrac{7}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{7}{3}}(x-\stackrel{x_1}{0})[/tex]

we can always find the y-intercept by simply setting x = 0, or namely

[tex]y-(-3)=\cfrac{7}{3}(0-0)\implies y+3=\cfrac{7}{3}(0)\implies y+3=0\implies y=-3 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{y-intercept at}}{(0~~,~-3)}~\hfill[/tex]

Answer:

first one is 7/3

second one is -3

third one is g(x) = 7/3x-3

Step-by-step explanation:

I got it right

Answer:

17

Step-by-step explanation:

x + 100 = 4x + 49

100 - 49 = 3x

3x = 51

x = 17

Answer:

$255

Step-by-step explanation:

Equation would be

60x+0.5y= $ charged

x= days

y = per mile

60 * 3 + 0.5 * 150 = $

180+75=

=255

Greg would have to pay $255

Hope this helps!

(Pls mark brainiest)

Thanks!

Answer:

2x^2/3

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

23

Step-by-step explanation:

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Answer:

  No; no sign change of g(x) in that interval

Step-by-step explanation:

The intermediate value theorem tells you there will be at least one zero between any two points where the function changes sign. The table shows sign changes in the intervals [-2, -1], [0, 1], and [1, 2]. So, the three zeros of the cubic lie in those intervals.

There are no additional zeros to be found, and there are no sign changes of g(x) between x=2 and x=3, so there is no zero in the interval [2, 3].

_____

Additional comments

We can only answer this with certainty because we have already found the locations of the three real zeros this cubic has. If there were two that were unaccounted for, then the possibility might exist for the graph to make an excursion across the x-axis and back in the interval [2, 3].

__

First differences of the table values are ...

  -5, +1, +2, -3, 0

Second differences are ...

  6, 1, -5, 3

Third differences are ...

  -5, -6, +8

This table cannot represent a real cubic function. For evenly-spaced x-values, a cubic polynomial must have constant 3rd differences. If the last two values in the table were -1 and -12, the function would be ...

  g(x) = -5/6x^3 +1/2x^2 +7/3x -1

You may want to discuss this question with your teacher.

Answer: m=1

Step-by-step explanation:

Use the equation y=y2-y1 over x2-x1

1.  label your points

     0=x1

     -2=y1

      -3=x2

       -5=y2

The first pair is x1 and y1 and the next pair is x2 and y2

plug in the numbers to find your answer

Answer:

6.4 ounces

Step-by-step explanation:

The total number of 'parts' is 5 containing 2 parts yellow and 3 parts green so if we divide 16 ounces of blue paint by the 5 parts, we can find 1 part. 1 part is 3.2. Yellow uses 2 parts so we time 3.2 by 2. The answer should be 6.4

Answer: 37

Cross multiply 100x29 over 79

Answer:

89.6°F

Step-by-step explanation:

hope this helps

have a good day or night

Answer:

89.6∘F

Step-by-step explanation:

[tex](32 * \frac{9}{5}) + 32\\\rule{150}{0.5}\\ 57 . 6 + 32\\\\\boxed{89.6}[/tex]

32∘C should be 89.6∘F.

Hope this helps.

Answer:

is this ok 4 uh?

hope it helps

If the price was reduced by $2.19, the original price of the scarf would be $2.19 + $8.40 which is $10.59

Answer:

The original price of the scarf was $10.59.

Step-by-step explanation:

"The price of a scarf is reduced by 2.19. The price is now 8.40."

Let X be the original price of the scarf.

That can be written as an equation like this:

x - 2.19 = 8.40

Now, just solve for x. Add 2.19 to both sides:

x = 10.59

The original price of the scarf was $10.59.

Answer:

I believe its d

Step-by-step explanation:

We will first find the prime factorization of 41 and 52. After we will calculate the factors of 41 and 52 and find the biggest common factor number .

Step-1: Prime Factorization of 41

Prime factors of 41 are 41. Prime factorization of 41 in exponential form is:

41 = 411

Step-2: Prime Factorization of 52

Prime factors of 52 are 2, 13. Prime factorization of 52 in exponential form is:

52 = 22 × 131

Answer: 50%

Step-by-step explanation:

If the neighbor has 2 children and one is a male out of 100% it would just be 100% divided by 2 i think im not sure but i hope this helps

Answer:4$

Step-by-step explanation

The cost of one token is 7.2 dollars.

A linear equation is an algebraic equation of highest degree 1 the number of variable is 1 also.

According to the given question Jane & Jim spent the same amount of money today.

Jim spent 5.25 dollars on food and rode the train 3 times, and Jane spent 12.45 dollars on food and rode the roller coaster twice.

Assuming cost of a token to be T.

∴ 5.25 + 3T = 12.45 + 2T.

3T - 2T = 12.45 - 5.25

T = 7.2.

learn more about linear equation here :

https://brainly.com/question/13738061

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