In a lab experiment, 2400 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 19 hours. How long would it be, to
the nearest tenth of an hour, until there are 3300 bacteria present?

Answer:

9.8 km/h

Step-by-step explanation:

Since there are 60 minutes in an hour, we can find his speed in km/h by multiplying 4.9 by 2.

4.9(2)

= 9.8

This means that he will travel 9.8 km in 60 minutes (1 hour).

So, his average speed is 9.8 km/h

Answer:

a) SAT score = 1075

b) ACT score = 19.2.

c) ACT score = 27.9.

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.

(A) If a student gets an SAT score that is the 51-percentile, find the actual SAT score

SAT scores have mean 1070 and standard deviation 204, so [tex]\mu = 1070, \sigma = 204[/tex]

51th percentile means that Z has a p-value of 0.51, so Z = 0.025. The score is X. So

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

[tex]0.025 = \frac{X - 1070}{204}[/tex]

[tex]X - 1070 = 0.025*204[/tex]

[tex]X = 1075[/tex]

SAT score = 1075.

(B) What would be the equivalent ACT score for this student?

ACT scores have mean of 19.1 and standard deviation of 5.2, which means that [tex]\mu = 19.1, \sigma = 5.2[/tex]. The equivalent score is X when Z = 0.025. So

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

[tex]0.025 = \frac{X - 19.1}{5.2}[/tex]

[tex]X - 19.1 = 0.025*5.2[/tex]

[tex]X = 19.2[/tex]

ACT score = 19.2.

(C) If a student gets an SAT score of 1417, find the equivalent ACT score.

Z-score for the SAT:

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

[tex]Z = \frac{1417 - 1070}{204}[/tex]

[tex]Z = 1.7[/tex]

Equivalent score on the ACT:

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

[tex]1.7 = \frac{X - 19.1}{5.2}[/tex]

[tex]X - 19.1 = 1.7*5.2[/tex]

[tex]X = 27.9[/tex]

ACT score = 27.9.

Answer:

y2

Step-by-step explanation:

this is my answer

i hope it helps you

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:

x < -5 or x > 2 , and because or can be in either, doesn't and literally can't be in both

Step-by-step explanation:

When you simplify 2x-2>12, it's like an algebra problem where you just add 2 to both sides and then divide by 2. Same for 2x+3>7, except you subtract 3 and then divide by 2

Answer:

BC = x = 8.12

AB = 15.33

Step-by-step explanation:

The missing sides of the right triangle is AB and BC;

Step 1: solve for BC using the following formula;

[tex]tan(\theta) = \frac{Opposite \ side}{Adjacent \ side} \\\\tan (32)= \frac{BC}{AC} \\\\tan(32) = \frac{x}{13} \\\\x = 13 \times tan(32) \\\\x = 8.12 \[/tex]

Step 2; solve for AB using a trig ratio or Pythagoras theorem;

[tex]cos (\theta) = \frac{Adjacent \ side }{Hypotenuse \ side} \\\\cos (32) = \frac{AC}{AB} \\\\cos (32) = \frac{13}{AB} \\\\AB = \frac{13}{cos (32)} \\\\AB = 15.33[/tex]

Answer:

The area of the shaded region is:

Step-by-step explanation:

First, we're gonna find the area of the whole rectangle and next we can subtract the area of the triangles in the corners, we use the next formula:

And we replace the measurements in the picture (32 ft and 16 ft):

Now, we must calculate the area of a triangle, this can be made by this formula:

We can replace the values we have in the picture (4 ft and 6 ft), then:

As you can see in the picture, we have to subtract two triangles with the same measurements, by this reason, we multiply the area of the triangle by two and we'll obtain the area we must subtract:

At last, we take the area of the whole rectangle and subtract the area of the triangles:

The area of the shaded region is 488 ft^2.

Answer:

b

Step-by-step explanation:

Answer:

B. 1.093

Step-by-step explanation:

I calculated it logically

Answer:the answer is c.

Step-by-step explanation:

The linear regression equation for the transformed data is log(y) = -0.846 x +0.599. The correct option is B.

Linear regression is a statistical method for determining the relationship between two quantitative variables, typically denoted by the letters x and y. The goal of linear regression is to find a linear equation that can predict y based on x.

To find the linear regression equation for the transformed data, we must first transform the y-values by taking each value's logarithm base 10.

Then we can use the linear regression equation to calculate the slope and y-intercept of the best-fit line.

The linear regression equation for the transformed data is:

log(y) = -0.846x + 0.599

Therefore, the correct answer is B. log(y) = -0.846x + 0.599.

For more details regarding linear regression, visit:

https://brainly.com/question/29665935

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Answer:

find abc

Step-by-step explanation:

Answer:

Six multipled by four to get how many girls and boy he will sayhrllo to.

Answer:

NO

Step-by-step explanation:

Plugging in 3 for X and -2 for Y

X + Y = 12X _ 3Y = 1

3 + -2 = 12*3 + 3 * -2 = 1

1 = 36 + 3 * -2 = 1

1 = 36 + -6 = 1

1 = 30 = 1

So NO, (3, -2) is not a solution.

9514 1404 393

Answer:

  5 and 8

Step-by-step explanation:

Factor pairs that make 40 are ...

  40 = 1×40 = 2×20 = 4×10 = 5×8

The pair that has a sum of 13 is 5 and 8.

Answer:

the answer is c.

$85,274.94

Step-by-step explanation:

on edge

Answer:

its b

Step-by-step explanation:

thankkkkk me later

Answer:

3

Step-by-step explanation:

The formula for the Pythagorean's Theorem is a^2 + b^2 = c^2, so first you know that hypotenuse is the longest side or the opposite side from which the right angle is which in this case is the 6 so you are looking for a leg rather then the hypotenuse which means we are going to be doing subtraction.

a^2 + b^2 = c^2

√27^2 - b^2 = 6^2

27 - b^2 = 36

-27            -27

         b^2 = 9

         b^2 = √9

Answer:

By a theorem we learned, i. and ii. are valid under the assump- tion that the sequences (a n)1 n=1and (b n) 1 n=1are convergent. For iii.]

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

final step for induction proof

Answer:

2160 square units

Step-by-step explanation:

Given data

Radius= 6 units

Angle= 120°

Area of the sector is given as

Area of sector= r^2* ∅/2

Area of sector= 6^2*120/2

Area of sector= 36*60

Area of sector= 2160 square units

Answer: 181

Step-by-step explanation:

Answer:

it A because all of them can multipcation

Answer:

look at the picture i have sent

9514 1404 393

Explanation:

The rules of equality tell you that you can do anything you like to an equation, as long as you do the same thing to both sides of the equal sign. This is the essence of Algebra, so is worth remembering. My teacher summarized it as "keep the equal sign sacred."

__

"Simple linear equations" come in several varieties. They are sometimes called "one-step", or "two-step", or "three step" linear equations, depending on how many steps are required to solve them. In what follows, we're using "x" as the variable, and the letters a, b, c, d as constants.

One-step

In general, the "one step" will be either an addition or a multiplication.

  x + a = b . . . . an addition equation

  ax = b . . . . . . a multiplication equation

The key in any case is to look at what is done to the variable and use an inverse operation to "undo" it. The opposite of addition is addition of the additive inverse (add the opposite). This is also called subtraction. For the addition equation, this looks like ...

  x + a - a = b - a . . . . . . add (-a) to both sides (or subtract 'a')

  x = b - a . . . . . . . . . . . the solution

The opposite of multiplication is multiplication by the multiplicative inverse (the reciprocal) This is also called division. For the multiplication equation, this looks like ...

  ax(1/a) = b(1/a) . . . . . multiply by (1/a) on both sides (or divide by 'a')

  x = b/a . . . . . . . . . . . the solution

__

Two-step

As with one-step linear equations, two-step equations come in some different forms.

  ax +b = c

  ax +b = cx

  a(x +b) = c

In general, the two steps are an addition step and a multiplication step, not necessarily in that order. You will notice that the first step can transform the equation to a "one-step" equation. As before, inverse operations are involved, and whatever is done is done to both sides of the equal sign.

  ax +b = c   ⇒   ax = (c -b) . . . . subtract b to get a multiplication equation

In this next, we have the variable on both sides of the equal sign. we can put the variable on one side of the equal sign by adding the opposite of the term we don't want where it is. Leaving the constant alone, we can add (-ax) to both sides to get ...

  ax +b = cx   ⇒   b = cx -ax   ⇒   b = (c -a)x

When you have numbers, you can go directly to (c-a)x by "combining terms". This is now the one-step multiplication equation.

Finally, another 2-step form is ...

  a(x +b) = c   ⇒   x +b = c/a . . . . . divide by 'a' to get an addition equation

This last equation can also be solved by using the distributive property first.

  ax +ab = c . . . . . still a 2-step equation, now of the first type

__

Three-step

The most typical "3-step" linear equation is of the form ...

  ax +b = cx +d

where both variables and constants are on both sides of the equal sign. As you may have noticed above, we prefer to have variables on one side and constants on the other side. So, add the opposite of the term you don't want where it is (to both sides, of course).

If we want variables on the left and constants on the right, we can add -cx and -b. The "3 steps" assume you do these as separate operations.

  ax +b -cx = cx +d -cx   ⇒   (a-c)x +b = d . . . a two-step equation

  (a-c)x +b -b = d -b    ⇒   (a-c)x = d-b . . . . a one-step multiplication equation

_____

Additional comments

There are some choices you can make that will tend to reduce errors. One of them involves selection of the variable term you want to eliminate (add the opposite of). Generally, if you choose the term with the lowest (most negative, left-most on the number line) coefficient, adding its opposite will result in a positive coefficient for the remaining variable term. Then when you divide by that coefficient, you're dividing by a positive number. Most folks perform arithmetic with fewer errors when they're working with positive numbers.

The general approach to any "solve for" situation is to look at what is done to the variable you're solving for. The Order of Operations is a useful lens for looking at this. When you list the operations, your "undo" sequence will start with the last operation on the list, and work backward.

Further note: your total comfort with doing arithmetic with any kind of numbers (integers, fractions, mixed-numbers, decimals, scientific notation, positive or negative) will aid you immensely. Always be careful with minus signs. They tend to get lost, forgotten, ignored, Be sure they don't.

Answer:

x would be equal to 6

Step-by-step explanation:

24 would be divided by 4 because it's 4x

Answer:

x = 24 ÷ 4 or 24/4

Step-by-step explanation:

In order to isolate the variable, you multiply both sides by the reciprocal of 4, which is 1/4.

Polynomials cannot have division or a negative integer exponent.  

−2x^3+2x+4  is a polynomial

x^2/7+1 is not a polynomial (division operation)

x^−3+4x is not a polynomial (negative exponent)

6x−x^3+4x^2 is a polynomial

Answer:

Here is your answer hope it helps u have a great day ahead....

Answer:

C. -1

Step-by-step explanation:

I calculated it logically

Answer:

-1

Step-by-step explanation:

cos = opp/hyp

At 180º

adj  = -1

hyp = 1

Cos 180 = -1/1 = -1