Make x the subject of m= n+ 1 + x/p​

Answer:

Step-by-step explanation:

The vertex is at (-3, -1)  and the leading coefficient is negative ( because  the curve is inverted)

y = -a(x + 3)^2 - 1

One point on the curve is (-2, -3) so

-3 = -a(-2+3)^2 - 1

-3 = -a - 1

-a = -2

So we have

y = -2(x + 3)^2 -  1

y = -2(x^2 + 6x + 9) - 1

y = -2x^2 - 12x - 19.

1. Not binomial: there are more than two outcomes for each trial.

Thus, option (B) is correct.

2. Procedure results in a binomial distribution.

Thus, option (B) is correct.

1. Not binomial: there are more than two outcomes for each trial.

In a binomial distribution, each trial can have only two outcomes (usually referred to as success and failure).

In this case, the procedure involves rolling a single die 53 times and keeping track of the "fives" rolled.

Since the outcome can be any number from 1 to 6 on each trial, it does not meet the criteria for a binomial distribution.

Thus, option (B) is correct.

2. Procedure results in a binomial distribution.

In this case, the procedure involves spinning a roulette wheel 7 times and keeping track of the winning numbers. The outcome of each trial is either a win or a loss, which satisfies the requirement for a binomial distribution.

Thus, option (B) is correct.

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Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

Answer:

\(g'(x) = \frac{x^2}{100} +2\)

Step-by-step explanation:

Given

\(g(x) = 10\sqrt{x - 2\)

Required

Determine the inverse function

\(g(x) = 10\sqrt{x - 2\)

Replace g(x) with y

\(y = 10\sqrt{x -2\)

Swap the positions of x and y

\(x = 10\sqrt{y -2\)

Divide through by 10

\(\frac{x}{10} = \sqrt{y - 2\)

Square of both sides

\(\frac{x^2}{100} = y - 2\)

Make y the subject

\(y = \frac{x^2}{100} +2\)

Replace y with g'(x)

\(g'(x) = \frac{x^2}{100} +2\)

Hence, the inverse function is: \(g'(x) = \frac{x^2}{100} +2\)

A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

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The missing term in the second pair is YUL.

To determine the relationship between the first two terms, let's analyze the given pattern: AZP : ZAR.

If we look closely, we can observe that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.

So, applying the same pattern to the second pair (TXK), we need to shift each letter one position forward in the alphabet:

T + 1 = U

X + 1 = Y

K + 1 = L

Therefore, the missing term in the second pair is YUL.

The analogy between the pairs is that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.

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Given:

Amount = 8700

Time = 3 years

Rate of interest = 24% per annum

To find:

The principal values.

Solution:

Formula for amount:

\(A=P\left(1+\dfrac{r}{100}\right)^t\)

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting \(A=8700,r=24,t=3\), we get

\(8700=P\left(1+\dfrac{24}{100}\right)^{3}\)

\(8700=P\left(1+0.24\right)^{3}\)

\(8700=P\left(1.24\right)^{3}\)

\(8700=1.906624P\)

Divide both sides by 1.906624.

\(\dfrac{8700}{1.906624}=P\)

\(4563.0391729=P\)

\(P\approx 4563.04\)

Therefore, the principal value is about 4563.04.

Answer:

0.57

Step-by-step explanation:

57 / 100 = 0.57

You need to divide the percent by 100

Arcs get their angle measure from the central angle they're in, in this case the central angle of 86°, central to arcED, has a counterpart of a twin vertical angle across the center, since both vertical angles are identical twins that means the central angle for arcAB is 86° also, and that's the arcAB's measure too.

Answer:

-1.3

Hope this helps dont 4get to like and star

-mercury

Answer: 9.3

Hope this helps :)

Answer:

Well, each baseball card $1.60.

Step-by-step explanation:

Since, you may just divide the amount of cards to the amount of money required.

To find the slope of two points, we have to first assign our points as x1, y1 and x2, y2.

In our problem,

x1 = 2 and y1 = 5

x2 = 0 and y2 = -4

We know that that slope = y2 - y1 / x2 - x1. Let's plug our numbers into this formula.

Slope = -4 - 5 / 0 - 2 = -9 / -2 = 9 / 2

Answer:

Step-by-step explanation:

3x² + 6x + 2 = 0

Quadratic Formula is:

x = -b ± √b²- 4ac/2a

So...

Δ = b² - 4ac = 6² - 4.3.2 = 12

x = -6 ± √Δ/2.3 = -6 ± √12/6

x' = -6 + √12/6 ≈ -0,4227

x'' = -6 - √12/6 ≈ -1,5774

S = { -0,4227 , -1,5774 }

Answer:

1/125

Step-by-step explanation:

5 ^ -3

We know that a^-b = 1 / a^b

5 ^ -3

1 / 5^3

1/125

Answer:

1/125

Step-by-step explanation:

Answer:

  231.6 ft³

Step-by-step explanation:

You want the volume of a hemisphere of radius 4.8 feet.

The formula for the volume of a sphere is ...

  V = 4/3πr³

The volume of a hemisphere will be half that. So, the desired volume is ...

  V = 2/3π(4.8 ft)³ ≈ 231.6 ft³

The volume of the hemisphere is about 231.6 cubic feet.

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Answer: D

Step-by-step explanation:

The equation of p(x) in vertex form is;

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.

To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.

To find the vertex, we can use the formula:

x = -b/2a, where a is the coefficient of the x²  term, b is the coefficient of the x term, and c is the constant term.

Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.

We can then use the formula to find the vertex:

x = -b/2a = -5/2a

Using the values from the table, we can set up two equations:

46 = a(5)² + b(5) + c

1 = a(0)²  + b(0) + c

Simplifying the second equation, we get:

1 = c

Substituting c = 1 into the first equation and solving for a and b, we get:

46 = 25a + 5b + 1

-20 = 5a + b

Solving for b, we get:

b = -20 - 5a

Substituting b = -20 - 5a into the first equation and solving for a, we get:

46 = 25a + 5(-20 - 5a) + 1

46 = 15a - 99

145 = 15a

a = 9.67

Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:

b = -20 - 5(9.67) = -71.35

Therefore, the equation of p(x) in vertex form is:

p(x) = 9.67(x - 5)²  + 1

Simplifying, we get:

p(x) = 9.67(x²  - 10x + 25) + 1

p(x) = 9.67x²  - 96.7x + 250.85 + 1

p(x) = 9.67x²  - 96.7x + 251.85

Rounding to the nearest hundredth, we get:

p(x) = 9.67(x - 5²  + 1 = 9.67(x + 1.04)²  - 10.25

Therefore, the answer is:

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

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Answer:

Step-by-step explanation:

n²+(17-n²)=n²+17-n²=17

Answer: n²+(17-n²)=n²+17-n²=17

Step-by-step explanation:

The probability of observing a sample mean of 0.99 L or less in a sample of  70 bottles is given as follows:

0.0537 = 5.37%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 1.015, \sigma = 0.13, n = 70, s = \frac{0.13}{\sqrt{70}}\)

The probability of observing a sample mean of 0.99 L or less in a sample of  70 bottles is the p-value of Z when X = 0.99, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

Z = (0.99 - 1.015)/(0.13/sqrt(70))

Z = -1.61

Z = -1.61 has a p-value of 0.0537.

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Answer:

[-3, -1)

Step-by-step explanation:

Just took the quiz and got it right

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

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Answer:

A) 1/3

Step-by-step explanation:

First, put the fraction of the hour, over the whole hour, so 20/60

Then simplfy it to 1/3

Answer:

D.

Step-by-step explanation:

the difference between 85 and 72 is 13. 13 is 18% of 72.

Answer:

dddddd

Step-by-step explanation:

lol

Answer:

d

Step-by-step explanation:

i think

Answer:

210cm³

Step-by-step explanation:

v=1/2bhl

v-1/2(7)(6)(10)

v=210

Answer:

x ≤ -6

Step-by-step explanation:

\(3x+5\leq -13\)

Step 1 (Subtract 5 from both sides):

\(3x+5-5\leq -13-5\\3x\leq -18\)

Step 2 (Divide both sides by 3):

\(\frac{3x}{3} \leq \frac{-18}{3}\\ x\leq -6\)

Solution set expressed in set-builder notation:

{x | x ≤ -6}

Solution set expressed in interval notation:

(-∞, -6]

Answer:

How to find equivalent fractions:

Step-by-step explanation:

Lets say you wanted to find some equivalent to 4/16,

We know 4/16 is a quarter of the whole (a quarter of 16).

So, 1/4 is a quarter of the whole so 1/4 is an equivalent fraction to 4/16

just in case you still don't get it here are some more equivalent fractions to 4/16: