Which exponential expressions are equivalent to the one below? Check all
that apply.
(4.8)15
O A. 415.815
O
B. 3215
O C. 415 + 815
D. (4.8)15

Answer:

Step-by-step explanation:

x/.004 = 60

solve x

x = .24

Answer:

272 is the test score for Brandi.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 250 and standard deviation of 25:

This means that [tex]\mu = 250, \sigma = 25[/tex]

Brandi scored at the 81st percentile on this test. What was her test score?

The z-score of her score of X has a p-value of 0.81. This means that her score is given by X when Z = 0.88.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.88 = \frac{X - 250}{25}[/tex]

[tex]X - 250 = 0.88*25[/tex]

[tex]X = 272[/tex]

272 is the test score for Brandi.

Answer:

P(d) = 62 - 2d

Step-by-step explanation:

P = pound per square inch

d = days

(52 - 46) / 3 = 2

46 + 2 * 8 = 62

Given:

A figure of a right triangle whose altitude divides the opposite in two segments of 8 and 4 units.

The measure of the altitude is n.

To find:

The value of n.

Solution:

According to the altitude on hypotenuse theorem, the altitude on the hypotenuse of a right triangle is geometric mean of two segments of the hypotenuse.

Let the altitude h divides the hypotenuse in two parts with measure a and b, then

[tex]\dfrac{h}{a}=\dfrac{b}{a}[/tex]

[tex]h^2=ab[/tex]

[tex]h=\sqrt{ab}[/tex]             [Because side length cannot be negative]

In the given figure, the altitude is n and it divides the hypotenuse in two segments of 8 units and 4 units.

Using altitude on hypotenuse theorem, we get

[tex]\dfrac{n}{8}=\dfrac{4}{n}[/tex]

[tex]n^2=4\times 8[/tex]

[tex]n^2=32[/tex]

[tex]n=\sqrt{32}[/tex]

Therefore, the measure of altitude is [tex]n=\sqrt{32}[/tex] units.

Answer:

0.4114 = 41.14% probability that he answers at most three of them are correct

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20 questions:

This means that [tex]n = 20[/tex]

Assume that each question has five possible choices, and only one of them is correct.

This means that [tex]p = \frac{1}{5} = 0.2[/tex]

What is the probability that he answers at most three of them are correct?

This is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.2)^{0}.(0.8)^{20} = 0.0115[/tex]

[tex]P(X = 1) = C_{20,1}.(0.2)^{1}.(0.8)^{19} = 0.0576[/tex]

[tex]P(X = 2) = C_{20,2}.(0.2)^{2}.(0.8)^{18} = 0.1369[/tex]

[tex]P(X = 3) = C_{20,3}.(0.2)^{3}.(0.8)^{17} = 0.2054[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0115 + 0.0576 + 0.1369 + 0.2054 = 0.4114[/tex]

0.4114 = 41.14% probability that he answers at most three of them are correct

Answer:

Solution given:

lowest =0

highest=11

the range in hours spent watching Netflix=

highest-lowest =11-0=

Range is 11.

Solution : here ,

lowest = 0

Highest = 11

the range in hours spent watching Netflix

=highest — lowest

= 11 —0

= 11

the range = 11

hope it is helpful to you

Answer:

Simple use tangent, which is equal to opposite divided by adjacent, so tan34=x/16, so multiply both sides by 16 to get x=10.79213627

Step-by-step explanation:

The solution of system of equations is (5, 10)

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y=2x ...(1)

y=x+5...(2)

Let us plug in equation 2 in equation 1

x+5=2x

Subtract x from both sides

x=5

Now plug in x value in equation 1

y=2×5

y=10

Hence, the solution of system of equations is (5, 10)

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Answer:

1.25π

π/9

-17π/12

-7π/9

5π/12

-5π/3

Step-by-step explanation:

To convert degrees into radians mulitply it by π/180

225/180=1.25

1.25π

20/180=1/9

π/9

-255/180= -17/12

-17π/12

-140/180=-7/9

-7π/9

75/180=5/12

5π/12

-300/180= -5/3

-5π/3

Answer:

x = 209.2

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area to the left of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X, which is the area to the right of X.

Mean of 185 and a standard deviation of 20.

This means that [tex]\mu = 185, \sigma = 20[/tex]

Find the value of x so that the area under the normal curve to the left of x is approximately 0.8869.

This is X when Z has a p-value of 0.8869, so X when Z = 1.21.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.21 = \frac{X - 185}{20}[/tex]

[tex]X - 185 = 20*1.21[/tex]

[tex]X = 209.2[/tex]

So

x = 209.2

Answer:

The sequence is

Each term is the sum of the consecutive numbers from 1 to that number.

The nth term is the sum of the first n numbers:

1) The number of circles in the nth pile is n(n + 1)/2

2) When n tends to infinity the number of circles tends to infinity

Answer:

The statement is false.

Step-by-step explanation:

We know that all integer numbers can be written as a product of prime numbers.

For example:

15 = 5*3

15 is a product of two prime numbers, 5 and 3.

28 = 2*2*7

28 is the product of two prime numbers, 2 two times, and 7.

Now, we want to prove that in any set of 9 positive integers, some of them share all of their primary factors that are less than or equal to 5.

Now, let's try to find a counterexample to see if this is false.

The first idea that comes to mind is, what with a set of 9 positive prime numbers?

(2, 3, 5, 7, 11, 13, 17, 19, 23)

So none of these numbers share their primary factors (where the "1" is not considered as a primary factor)

And another counterexample could be:

(2, 3, 5, 7, 11, 13, 17, 6, 10)

Here 6 = 2*3

        10 = 2*5

So 6 and 10 share a primary factor (the two) but do not share all of their primary factors that are less than or equal to 5.

So we found two counterexamples of the statement, so we can conclude that the statement is false.

Answer:

1 second

Step-by-step explanation:

The 2 equations are

y = - 16x² + 30 → (1)

y = 14 → (2)

Substitute y = 14 into (1)

14 = - 16x² + 30 ( subtract 30 from both sides )

- 16 = - 16x² ( divide both sides by - 16 )

1 = x² ( take the square root of both sides )

x = [tex]\sqrt{1}[/tex] = 1

The object is in the air for 1 sec before it crosses the bird's path

Answer: = 6

Step-by-step explanation: Hope this help :D

Answer:

[tex]8x + 152 = 224 \\ 8x = 72 \\ x = 9[/tex]

Answer:

Step-by-step explanation:

the last answer looks good

9514 1404 393

Answer:

  C.  13

Step-by-step explanation:

Put 4 where y is in the equation and do the arithmetic.

  [tex]p(y)=\dfrac{4y}{2}+5\\\\p(4)=\dfrac{4(4)}{2}+5 = \dfrac{16}{2}+5=8+5\\\\\boxed{p(4)=13}[/tex]

Answer:

The swimmer must move in the direction 338.2°

Step-by-step explanation:

Since the river flows due south at 1.2 miles per hour and the swimmer swims 3 miles per hour due east of the river, since their directions are perpendicular,  the resultant speed is the hypotenuse of the triangle formed by the two perpendicular directions.

The direction of the resultant speed is thus θ = tan⁻¹( vertical component/horizontal component) where vertical component = 1.2 mph due south = -1.2 mph and horizontal component = 3 mph due east = + 3 mph

So, θ = tan⁻¹(-1.2 mph/+ 3mph)

θ = tan⁻¹(-1.2/3)

θ = tan⁻¹(-0.4)

θ = -21.8°

θ = -21.8° + 360° (since we are in the fourth quadrant- between east and south)

θ = 338.2°

So, the swimmer must move in the direction 338.2°.

Answer:

So, the answer in short is B) (6,1)

Step-by-step explanation:

If you graph the points, then you see that point A is 8 points away from point B on the X-axis. If you take 8 and divide it by 4, you get 2, so that means that the 1/4 way point is 2 points away from point A, giving you 6 as your x-axis point for this new point. B is the only one with 6 as its spot on the x axis, leaving B as the only choice. BTW you're pretty cute ;)

Answer:

C and D

Step-by-step explanation:

So basically when u square -5 or +5, u get 25 either way

And since the square root of x is greater than or equal to 25, u can use both of them for answers.

Answer:

0.5: 0.2: 0.4:

Fair Coin Blue Block Blue Marble

Soccer Ball Red Block

Dice Yellow Marble

Tennis Ball

Step-by-step explanation:

9514 1404 393

Answer:

  The description of the translation direction should be "up", not "down."

Step-by-step explanation:

The blue graph of y = x²+3 is above the graph of the parent function y = x². That is, it is a copy of y = x² that has been moved (translated) up.

The correct description is ...

  The graph of y=x²+3 is a translation 3 units up of the graph y=x².

Answer:

no.6 is 22in. while in no.7 is 18cm

Answer:

C

Step-by-step explanation:

Take the coefficient of the linear term and divide it by 2

9/2

Then square it 81/4

That should either be added to the 11 or subtracted from the 15.

The answer is C

Answer:

The 15th term is 8

Step-by-step explanation:

There are 180 degrees in a triangle

4. 38+38= 76 degrees

180-76=104

Isosceles, Obtuse

5. 65+ x+x=65

Well we know one of the x

It is 90 degrees because it is a right angle

65+90=155

180-155=25

Scalene, Right triangle

6. 71+45= 116

180-116=64

7.  Scalene, acute

8. 126+22=148

180-148=32

Scalene, Obtuse

9. 50+90=140

180-140=40

Right angle,  Scalene

Please let me know if i got anything wrong