Express decimal as a fraction 8.25

The formula for calculating half-life is as shown below

Where:

Given that

So,

Hence, there is approximately 23.8 milligrams of Valium in the patient's blood at noon on the first day.

B. To estimate when the Valium concentration will reach 20% of its initial level, it is observed that

Let us substitute into the formula to get t as shown below:

Hence, the valium concentration will reach 205 of its initial level at 83.6 hours

Answer:

\(A = 16\) -- (a)

\(m = 17.5\) -- (b)

Step-by-step explanation:

Given

Variation: Direct

A = 8; m = 20

First, represent the variation.

\(A\ \alpha\ \ m\)

Represent as an equation

\(A = km\)

Make k, make the subject

\(k = \frac{A}{m}\)

A = 8; m = 20; So

\(k = 8/20\)

\(k = 0.40\)

When m = 20, we have:

\(A = km\)

\(A = 0.40 * 40\)

\(A = 16\)

When A = 7, we have:

\(A = km\)

\(7 = 0.40 * m\)

\(m = \frac{7}{0.40}\)

\(m = 17.5\)

Answer:

1. a quantity that stands alone and is not changed by other quantities. most often x variable.

2. a quantity that changes depending on another quantity, as a result of the rule. most often the y variable

Step-by-step explanation:

Answer: A quantity that stands alone and is not changed by other quantities most often X variable.

A quantity that changes depending on another quantity, as a result of the rule most often Y variable.

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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The genotype ratio is:  1   TT : 1   Tt : 0  tt

The phenotype ratio is :  4   Tall :   0   Short

100 percent of the offspring will be tall.

Genotypic ratio is the ratio between the genetic makeup among the offspring population.

On the other hand, the ratio between the offspring population for an observable characteristic is the phenotype ratio.

The given test cross is between a homozygous tall parent and a heterozygous tall parent.

Using a Punnett square,

The result will be as shown below.

                     T                   t

          T        TT                 Tt

           T       TT                 Tt

Genotype :  1   TT : 1   Tt : 0  tt

Phenotype :  4   Tall :   0   Short

100 percent of the offspring will be tall.

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Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

The answer is 2.5

Step-by-step explanation:

Formula = (N + 1 / 2th) term

So,

Total numbers (N) = 4

Now,

(N + 1 / 2th) term

= (4 + 1 / 2th) term

= (5 / 2th) term

= (2.5th) term

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The quadratic regression equation is y = 1.38x^2 - 5.77x + 0.96

From the question, we have the following parameters that can be used in our computation:

(-1,8), (5,-4), (7,8), (2,-6)

Using a graphing calculator, we have the following summary:

function value

mean of x 3.25

mean of y 1.5

correlation coefficient r 0.9990171837

A 1.380577428

B -5.769028871

C 0.9553805774

The equation is represented as

y = ax^2 + bx + c

So,, we habe

y = 1.38x^2 - 5.77x + 0.96

Hence, the equation is y = 1.38x^2 - 5.77x + 0.96

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Answer:

791

Step-by-step explanation:

Prime number is a number that is divisible only by itself and 1 .

prime numbers less than 80

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79

therefore,

2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79

=791

Answer:

791.

prime numbers less than 80 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79

sum of these numbers are

2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79

= 791

Answer:

0.29287

Step-by-step explanation:

You want to use the binomial cumulative distribution function (binomcdf). The purpose of this function is that it allows you to obtain the probability of observing less than or equal to x successes in n trials, with the probability p of success on a single trial.

x in this case is 182, n is 200, and p is 0.9005. Essentially by inputting these values, we find the probability that out of 200 passengers with a 0.9005 chance of getting on the plane, that 182 or less show up.

This gives us P(x <= 182) = 0.70713. (You need your calculator for this step, input the values above in the binomcdf function)

We want to find the probability of more than 182 passengers showing up though, so it would be 1 - 0.70713 = 0.29287.

Thus the probability that when 200 reservations are accepted for the flight, there are more passengers than seats available is 0.29287.

Answer:

y = -3x + 1

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.

Plug in the slope and given point into y = mx + b

y = mx + b

-5 = -3(2) + b

-5 = -6 + b

1 = b

Then, plug in the slope and y intercept into y = mx + b again:

y = -3x + 1 will be the equation of the line

Answer:

3x+y=23

6x-y=50

2(3x+y)=2(23)

6x+2y=46

(6x-y)-(6x+2y)=50-46

-3y=4

y=-4÷3

=-4/3

x=[23-(-4/3)]÷3

=24/1/3÷3

=73/3÷3

=73/9

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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Answer:

Just some background:

Congruent means that a triangle has the same angle measures and side lengths of another triangle.

SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.

Let's look at A first.

The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.

Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.

Therefore both triangles are the same by Side-Angle-Side or SAS.

Now look at B.

It's a right triangle. We are missing 1 side of each triangle.

Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).

so 2^2 + b^2 = 4^2

4 + b^2 = 16

b^2 = 16-4

b^2 = 12

That missing side is the \(\sqrt{12}\).

This does NOT match the triangle on the left.

Theses two triangles are NOT congruent.

Answer:

Step-by-step explanation:

16 divided by 8 is 2. 40 divided by 8 is 5. Neither of these can be reduced by any more common numbers, so therefore, 8 is your greatest common factor. The GCF of 16 and 40 is 8.

Answer:

Hi, option A). 3 to 1 is the correct option.

Step-by-step explanation:

See there are 6 yellow and 2 red.

It will be 6:2

And if we simplify it further both of the numbers are multiples of 2.

Therefore:

The answer is option A). 3:1

Answer: B. 4 to 1

Step-by-step explanation:

green = (3/4) purple

Substituting the expression for green from the first conversion, we get:

yellow = (5/6) (3/4) purple

yellow = (5/8) purple

Finally, we can use the third ratio to convert purple to red:

5 purple = 2 red

purple = (2/5) red

Therefore, the ratio between yellow to red is 4 to 1.

The 90% confidence interval for the mean tail length of all newts in the population is approximately (4.9342 cm, 5.0658 cm).

To calculate the 90% confidence interval for the mean tail length of all newts in the population, we can use the formula:

Confidence Interval = Sample Mean ± Margin of Error

Given:

- Sample size (n) = 25

- Sample Mean (xbar) = 5 cm

- Standard Deviation of the population (σ) = 0.2 cm

- Confidence level = 90% (which corresponds to a z-score of 1.645 for a two-tailed test at a 90% confidence level)

First, we need to calculate the margin of error:

Margin of Error = (Critical Value) * (Standard Deviation / √Sample Size)

In this case, the critical value for a 90% confidence level is 1.645. Let's substitute the values:

Margin of Error = 1.645 * (0.2 / √25)

Margin of Error = 1.645 * 0.04

Margin of Error ≈ 0.0658

Now, we can calculate the confidence interval:

Confidence Interval = Sample Mean ± Margin of Error

Confidence Interval = 5 ± 0.0658

Confidence Interval ≈ (4.9342, 5.0658)

Therefore, the 90% confidence interval for the mean tail length of all newts in the population is approximately (4.9342 cm, 5.0658 cm).

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Answer:

0 on the x axis and -6 on the y axis i think

Answer:

It would be located on the Y-axis

Step-by-step explanation:

If you plot 0,-6 on a graph, you start on the origin since the x-axis is 0, and for the -6, you go DOWN 6 units, which is on the Y-axis. Therefore, the answer the y-axis.

Answer:

D.92

Step-by-step explanation:

A triangle adds up to 180

1 Step.

180-148 = 32

this is the missing angle

2 Step.

to find h

180-(32+56)= 92

We will have the following:

All the outcomes for the event of choosing a letter from A to D are:

So half the times a ball is picked there should be one from letter A to D.

***Explanation***

We have the following set:

So, the set has a magnitude of 8 [Since it has 8 components].

When we pick any given value from the set we will have that we will have to pick 1 value from the total set, that is:

But, when we are asked of the event of taking specific values from to D we are asked to pick 4 specific values:

That set has a magnitude of 4. So, in order to determine the event of picking a value from the second set on the first set, we will have:

This event is represented by "p" the probability of that happening. So, the probability of the event happening [Selecting one of the balls of the specific set] is 1/2; in other words, each time you pick there is a 50% chance you will get one of the values of the smaller set.

Answer:

well the answer should be -1.8

but I'm guessing A

Answer:

\(-\frac{9}{10}\) \(or\) \(-0.9\) \(or\) \(C\)

Step-by-step explanation:

\(\frac{2}{4}\div\frac{-5}{9}\) = \(?\)

\(\frac{2}{4}\) = \(0.5\)

\(\frac{-5}{9}\) = \(-0.555555555556\)

\(0.5\div-0.555555555556\) = \(-0.899999999999\) = \(-0.9\)

\(So\), \(the\) \(answer\) \(is\) \(C\).

\(This\) \(is\) \(because\) \(A\) \(is\) \(\frac{-9}{10}\) \(instead\) \(of\) \(-\frac{9}{10}\).

Hope this helps! <3

The probability of Daniel drawing a card numbered 1 or 2 and a yellow tile is 1/6.

Daniel can draw any of the four tiles and any of the three cards, giving a total of 12 possible outcomes. Out of these 12 outcomes, only two involve drawing a yellow tile and a card numbered 1 or 2.

So, the total number of outcomes = 12

Number of favorable outcomes = 2

Now, the probability = 2/12

= 1/6

Therefore, the probability of Daniel drawing a card numbered 1 or 2 and a yellow tile is 1/6.

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The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:

0.5874 = 58.74%.

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:

\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:

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

By the Central Limit Theorem:

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

Z = (18.1 - 17.2)/0.3953

Z = 2.28

Z = 2.28 has a p-value of 0.9887.

Z = (17.1 - 17.2)/0.3953

Z = -0.25

Z = -0.25 has a p-value of 0.4013.

Hence:

0.9887 - 0.4013 = 0.5874 = 58.74%.

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Answer:

x \ge 24/19

Step-by-step explanation:

(20x+6\right)\ge \:x+30

20x+6\ge \:x+30

20x\ge \:x+24

19x\ge \:24

divide both sides by 19

\frac{19x/{19\ge24/19

x\ge 24/19

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

The value of a, b and c are found as 6, 10 and 2 respectively.

Values for exponents, commonly referred to as powers, indicate how many often to multiply a quantity by itself.

The given expression is;

\(4x^{8} y^{c} = \frac{24x^{b}y^{-3} }{ax^{2} y^{-5} }\)

Solving expression using the law of indices.

\(x^{8} y^{c} = \frac{6x^{b-2}y^{-3+5} }{a}\)

\(ax^{8} y^{c} = {6x^{b-2}y^{2} }\)

Comparing powers of both sides:

a = 6

8 = b-2 : b = 10

c = 2

Thus, the value of  a, b and c are found as 6, 10 and 2 respectively.

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Answer:

1/6

Step-by-step explanation:

The value of the fraction that is equal to the number 0.16666... would be 5/30.

Given that,

Change the number 0.16666... into a fraction.

Used the concept of fraction which stated that,

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.

Let us assume that the number 0.1666.. equal to x.

Hence,

x = 0.166666 .....  .. (i)

Multiply by 10 on both sides,

10x = 1.66666...  (ii)

Also, multiply by 100 in equation (i),

100x = 16.6666.. (iii)

Subtract equation (ii) from (ii),

100x - 10x = 15

90x = 15

x = 15/90

Simplify for the simplest form,

x = 5/30

Therefore, the value of the fraction is 5/30.

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Answer:

Soil bacteria convert nitrogen gas into ammonia, nitrites, and then nitrates. Nitrates are then absorbed by producers.

Step-by-step explanation:

.

Answer:

D

Step-by-step explanation:

Soil bacteria convert nitrogen gas into ammonia, nitrites, and then nitrates. Nitrates are then absorbed by producers.

The length in each circle is:

(a) CD = 19.5 units

(b) UZ = 12.8 units

(a) The Intersecting Secant-Tangent Theorem states that "if two secant lines intersect outside a circle, and a tangent line is drawn from the point of intersection to the circle, then the product of the lengths of the two secant segments is equal to the square of the length of the tangent segment".

Using the theorem, we have:

EC * ED = EG²

6.5 * ED = 13²

6.5ED = 169

ED = 169/6.5

ED = 26 units

ED = EC + CD

26 = 6.5 + CD

CD = 26 - 6.5

CD = 19.5 units

(b) The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

UZ * UW = UX * UY

UZ * 40 = 8 * 64

40UZ = 512

UZ = 512/40

UZ = 12.8 units

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