Number of bacteria that would be in a sample weighing 24 grams is,
⇒ 1.296 × 10¹⁰
What is Scientific notation?Scientific notation is a way of writing a very large or very small numbers. For example; 230,000,000 can be written in scientific notation as 2.3 x 10⁸.
We have to given that;
There are 5.4 x 10⁷ bacteria are measured to be in a dirt sample that weighs 1 gram.
Hence, Number of bacteria that would be in a sample weighing 24 grams is,
⇒ 24 × 5.4 × 10⁷
⇒ 129.6 × 10⁷
⇒ 1.296 × 10¹⁰
Thus, Number of bacteria that would be in a sample weighing 24 grams is,
⇒ 1.296 × 10¹⁰
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PLEASE HELP I NEED IT QUICKLY
The solution of the equations are as follows:
A. x = 11
B. No solution
C. Many solution
D. x = 0
How to solve equations?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
The solution of the following variables can be found as follows:
A variable is a number represented with letter in an equation. Hence, let's find the variables of the equations.
x - 4 = 1 / 2 (x + 3)
x - 4 = 1 / 2 x + 3 / 2
x - 1 / 2x = 3 / 2 + 4
1 / 2 x = 11 / 2
cross multiply
2x = 22
x = 22 / 2
x = 11
-4x = 1 / 2 (-8x + 2)
-4x = -4x + 1
-4x + 4x = 1
0 = 1
No solution
3 - 2(-3x + 1) = 6x + 1
3 + 6x - 2 = 6x + 1
1 + 6x = 6x = 1
1 - 1 = 6x - 6x
0 = 0
Many solutions
0.5(x + 3) = -3(x - 0.5)
0.5x + 1.5 = -3x + 1.5
0.5x + 3x = 1.5 - 1.5
3.5x = 0
x = 0
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What is the probability that a standard normal random variable will be between 0.3 and 3.2?
A standard normal random variable has a 0.3814 percent chance of falling between 0.3 and 3.2, according to the z table.
What is probability?The probability is calculated by dividing the total number of outcomes by the total number of events.
Odds and probability are two different concepts.
Divide the probability of an event occurring by the probability that it won't happen to calculate chances.
The four main types of probability that mathematicians study are axiomatic, classical, empirical, and subjective.
So, the probability that a standard normal random variable will occur with a probability ranging from 0.3 to 3.2 must therefore be calculated.
First, a mean and standard deviation are introduced for a standard normal random variable.
The probability that a standard normal random variable will fall between 0.3 and 3.2 needs to be calculated.
Therefore, it should be more likely that:
P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)
Using the usual value of z:
P(0.3<z<3.2)=0.9993−0.6179
Justify by saying:
P(0.3<z<3.2)=0.3814
Therefore, a standard normal random variable has a 0.3814 percent chance of falling between 0.3 and 3.2, according to the z table.
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How do you solve logarithmic equations with different bases?
To solve logarithmic equations with multiple bases, transform them to logarithms with a single basis and then isolate the variable using logarithmic characteristics.
What is equation?An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. An equation is made up of multiple components, including words, coefficients, exponents, arithmetic operators, equal signs, and constants.
Here,
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What is the total number of proper subsets of a set consisting of n elements?
The total number of proper subsets of a set consisting of n elements is 2^n - 1.
How to find number of proper subsets?A proper subset of a set is a subset that contains fewer elements than the original set. The total number of proper subsets of a set consisting of n elements is given by 2^n - 1.
This is because each element in the set can either be included or excluded in a subset, leading to 2^n possible combinations. However, the empty set (i.e., the subset with no elements) is not considered a proper subset, hence the total number of proper subsets is 2^n - 1.
According to question:For example, if n = 3, then the set has 8 possible subsets: {}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, and {1, 2, 3}. Out of these, only 7 are proper subsets. Hence,
the total number of proper subsets of a set consisting of 3 elements is 2^3 - 1 = 7.
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What is the range of the points on the graph?
Answer:16
Step-by-step explanation:
The population of Japan,
, is
The population of Brazil,
, is
You are given that
It can be shown that
The population of Pakistan is
.
You are given that
Work out the population of Pakistan.
Give your answer in standard form.
The population of Pakistan is calculated as; 1.82 × 10⁸
How to solve proportion problems?The parameters for the population are;
Japan Population; J = 1.30 × 10⁸
Brazil Population; B = 1.95 × 10⁸
Now, the ratio of J:B = x : x + 5
Thus;
(1.30 × 10⁸)/(1.95) × 10⁸ = x/(x + 5)
Solving this gives x = 10
Now, we are told that;
J:P = x : x + 4
Where P is pakistan population
Thus;
(1.30 × 10⁸)/P = 10/(10 + 4)
(1.30 × 10⁸)/P = 10/14
P = 14(1.30 × 10⁸)/10
P = 1.82 × 10⁸
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why is variability in sampling (the fact that samples from the same population taken using the same method will often be different) so significant?
As variability shows the degree to which a particular score (or set of scores) accurately captures the distribution as a whole, it plays a significant role in sampling.
The sampling variability is the degree to which estimates vary among samples. The range is another word for "variability," and it describes how different samples have different ranges of results.
A sampling error is a phrase that's similar to, almost a synonym for, an error. An error in sampling is a measurement of how far a value deviates from its "true" value rather than an error itself. The various inaccuracies are a reflection of the sampling variability or variation between your samples.
The variability of samples fluctuates as sample sizes are raised or lowered. The sample size that will provide you with reliable estimates of the sample mean, variance, and other statistics is not the "ideal" sample size. Instead, you use your best estimation, which is based on accepted statistical practices.
Estimates will typically vary from sample to sample and are unlikely to ever completely match the population parameter.
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Are these 2 lines parallel? Please help ASSP!
no is not a parrel is a standard line
Answer: No
Step-by-step explanation: Parallel lines have the same slope but different y-intercepts. By using the table, we find out that the slope of the second line is 1/2. the slope of the first one is -1/2 so they are not the same.
If 81 visit a store and five nineths of them buy gardening tools how many bought gardening tools
Answer: 45
Step-by-step explanation:
We can label 5/9 of 81 as Numerator/Denominator of a whole number.
To solve the problem, we multiply the Numerator by the whole number and leave the Denominator as is:
(5 x 81) / 9 = 405/9 = 45
Therefore, the answer to 5/9 of 81 in its lowest form is:
the downward slope of the demand curve again illustrates the pattern that as
The price of a good decreases, the quantity demanded of those good increases. The downward slope of the demand curve reflects the law of demand, which states that people will buy more of a good when its price falls and less when its price rises.
The demand curve is a graphical representation of this relationship and shows the quantity of a good that consumers are willing and able to purchase at different prices.
An indifference bow is a graphical representation of different combinations or consumption bundles of two commodities. It issues equivalent satisfaction and utility levels for the consumer.
It makes the consumer indifferent to any of the union of goods shown as points on the curve. Also, it means the consumer cannot prefer one bundle over another on the same graph.
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Select the trigonometric equation that can be used to find x.
The measure of the value of 'x' from the expression is 8.8712
Solving triangles using trigonometry identityThe given image is a triangle with the following parameters:
Opposite = 8
Hypotenuse = x
acute angle = 46 degrees
Required
The measure of the angle 'x'
Applying the rule of trigonometry
sin theta = opposite/hypotenuse
sin 46 = 8/x
x = 8/sin46
x = 8.8713
Hence the value of x from then given triangle is 8.8712
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Mindset: This discussion topic is about the impact of challenges on personal growth... Think of a time when you were challenged by a math assignment. What was the topic? Did you end
up successfully completing it? If you can not think of a challenge that you encountered in math class, think of one from another aspect of your life. Share what the challenge was and what
the outcome was. In either scenario, did you find yourself saying any negative self-talk ("There's no way I can do this." "I've never done this before." "I'm never going to get better at
this.")?
How can working through challenges in your math class influence how you see yourself as a math student? What are some strategies you can use (or are already using) to confidently approach
challenges in math?
Answer:
One time I was challenged by a math assignment was when I was performing rotations, and reflections. It was confusing to know what coordinates needed to change based on each rule. After studying and asking for help, I was able to complete this assignment. At time, I thought I didn't know enough to complete the assignment, but I am happy to say that I improved. Working through your problems can help you succeed and have more confidence in yourself as a student.
Kayla works in the marketing team for Apple. She has been asked by her manager to create a marketing campaign through TV advertisement to increase the number of people which enter the apple store in London every day.
380 is double the difference between, the target amount of people which apple want to visit the store everyday and 100, the current amount of people which enter the store every day.
How many people does Apple want to visit the store every day after Layla’s marketing campaign? Let X be Apple’s target amount of people and find the answer.
290 people Apple wants to visit the store every day after Layla’s marketing campaign.
What is a linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given Apple wants to increase the number of people who enter in stores in London every day,
let X be Apple’s target amount of people,
380 is double the difference between, the target amount of people which apple wants to visit the store every day and 100
difference between the target amount of people and 100 is
X - 100
double the equation = 2(X - 100)
the equation is equal to 380
2(X - 100) = 380
divide both sides by 2
X - 100 = 380/2
X - 100 = 190
X = 190 + 100
x = 290
Hence Apple’s target amount of people is 290.
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An irregular pentagon is shown below.
Calculate the size of the angle marked n.
Give your answer in degrees (°).
39°
72°
n
85°
The angle measure of n is 74°.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
An irregular pentagon is shown below.
The sum of the exterior angles of a polygon is 360°.
So,
n + 72 + 39 + 85 + 90 = 360
n = 360 - 286
n = 74°
Therefore, the angle measure of n is 74°.
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If B (-8,3) is reflected across the line
y= -x and then translated by T < -1,5 > , then B’’ is
The point B'' after the transformation is (-4, 13).
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
A figure when undergoes reflection becomes it's mirror image.
A point (x, y) after a reflection across the line y = -x is (-y, -x).
Given point is B(-8, 3).
After the reflection, it changes to B'(-3, 8).
Then the point undergoes translation by (-1, 5).
B'(-3, 8) is translated to B''(-3 - 1, 8 + 5) = B''(-4, 13).
Hence the point B(-8, 3) after the reflection and translation gives the point B''(-4, 13).
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At the nut farm you and your friends planted some trees to earn pocket money.
The girls planted 15 trees and the boys 25 trees.
You must share the payment of R640 in the same ratio as work done.
Calculate the amount of money the group of girls and boys will receive?
Answer:
see below
Step-by-step explanation:
15:25 divide each side by 5 & get 3:5
3+5 =8 so basically it's like 8 slices of pizza, girls get 3 slices, boys get 5,
now we split the money. 640/8=80, so
girls get 3 x80 = 240
boys get 5x80 = 400
(4.2x10^6)(1.1x10^7)
Answer:4.62x10^13
Step-by-step explanation:
A vertical line passes through the point (2,7). What is the equation for this line
Answer:
x=2
Step-by-step explanation:
vertical line so X is the same regardless Y values
so x=2
Answer: x=2
Step-by-step explanation:
you are visiting a tide pool and you measure the height and width of ten different sea anemones. you return one month later when the environmental conditions are the same as before but notice one of the anemones has changed such that it appears to have grown two inches in height. which answer option helps explain the difference in the size of the anemones that you observe?
How much water supporting the hydrostatic skeleton and the constriction of round muscles.
Hydrostatic skeletons (some of the time recently called "hydrostats") utilize a depression loaded up with water; the water is incompressible, so the organic entity can utilize it to apply power or change shape. Plants utilize osmotic pressure to compress the pit, while creatures do it with muscle layers in the hydrostat's walls.
The most widely recognized muscle game plan is to have a layer with longwise or longitudinal filaments and a layer with roundabout or circumferential strands.
Most hydrostatic skeletons are pretty much tube shaped, so longitudinal muscles will more often than not abbreviate them and furthermore enlarge them because of consistent volume, though circumferential muscles will generally do the inverse. The longitudinal and circumferential muscles are in this manner antagonistic.
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Question 10. Lama Got her first job in 1990. In that year, The government took out 7.8% of each income from social security and Medicare , until a person made 52000.If Lama earned 45000 in 1990.How much did he pay to social security and Medicare?
Lama paid $3,510 to Social Security and Medicare in 1990.
What is earnings ?
Earnings typically refer to the salary or wages received by an employee for their labor. It can also include bonuses, commission, and other forms of compensation.
Since Lama's earnings were below the threshold of $52,000, the 7.8% rate applied to all of her earnings. To calculate the amount she paid to Social Security and Medicare, multiply her earnings by the rate:
$45,000 x 7.8% = $3,510
So, Lama paid $3,510 to Social Security and Medicare in 1990.
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Theodore wants to exchange £350 for dollars ($).
How many more dollars would he get in the bank than in the travel agent?
Travel agent
Bank
Travel
LOCAL BANK
£1= $1.27
£1= $1.32
Theodore will have $17.5 more from the bank than the travel agent.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Theodore wants to exchange £350 for dollars ($).
Bank's exchange rate is £1 = $1.32.
So, £350 = $1.32×350.
= $462.
Travel agent's exchange rate is £1 = $1.27.
So, £350 = $1.27×350.
= $444.5.
Therefore, He will get $(462 - 444.5) = $17.5 more.
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Jovana makes $11.25 per hour at her part-time job. During one week, she also earned $30 in tip money, and her final pay for the week was $159.50. Which answer gives the best estimate for the number of hours she worked that week?
The answer that gives the best estimate for the number of hours she worked that week would be = 11.25x+30=159.5
How to calculate the number of hours she worked per week?The normal amount she earns per hour in a week = $11.25 per hour.
The extra cash she earned during the week = $30
The total amount she received during the week = $159.50
Let the number of hours she worked = X
Therefore, 11.25x+30=159.5 show the number of hour she worked per week.
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Complete question:
Jovana makes $11.25 per hour at her part-time job. During one week, she also earned $30 in tip money, and her final pay for the week was $159.50. Which answer gives the best estimate for the number of hours she worked that week?
11.25+30=159.5x
11.25x + 30x=159.5
11.25x+30=159.5
11.25x+30=159.5x
find the volume of this cylinder use 3 for pie V= pier2h V=pie{?} 2 { } 8cm 20 cm
The volume of this cylinder is equal to 675 cm².
How to calculate the volume of a cylinder?Mathematically, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.Substituting the given parameters into the volume of a cylinder formula, we have the following;
Volume of a cylinder, V = πr²h
Volume of a cylinder, V = 3 × 5² × 9
Volume of a cylinder, V = 3 × 25 × 9
Volume of a cylinder, V = 675 cm².
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1. Quadrilateral ABCD has angles measuring 160° and 85°. What are the other 2
angles at a 3:20 ratio?
The measure of the angles of a quadrilateral in ratio 3:20 is 15 and 100 degrees.
What are quadrilateral?A quadrilateral is a flat shape with four edges and four corners, also known as vertices. The quadrilateral has angles at each of its four vertices, or corners. The angles at the vertices of a quadrilateral ABCD are A, B, C, and D. A quadrilateral has the following sides: AB, BC, CD, and DA.
Given that the 2 angles are in the ratio 3 : 20, then the measure of the angle can be taken as 3x and 20x.
We know that the sum of the internal angles of a quadrilateral is 360 thus:
160 + 85 + 3x + 20x = 360
23x = 115
x = 5
The measure of the angles are:
3x = 3(5) = 15
20x = 20(5) = 100
Hence, the measure of the angles of a quadrilateral in ratio 3:20 is 15 and 100 degrees.
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i really really really need help with this one two
Answer:
-2x+24
Step-by-step explanation:
Distribute the -3 into 2x and -8, which gives you -6x+24+4xAdd like terms, which gives you -2x+24, since -6x and 4x are like termsSolved! -2x+24each player rolls a six-sided die . they cannot see their own outcome but they can see the outcome of the other player. they must submit a guess of their own roll what is the maximum probability of victory?
The maximum probability of victory in this scenario is 50%.
Each player has an equal chance of rolling any number from 1 to 6, so the probability of rolling a specific number is 1/6.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur.The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.
Probability of event to happen P(E) = Number of favourable outcomes/Total number of outcomesSince the players cannot see their own outcome but can see the outcome of the other player, they must guess their own roll based on the observed roll of the other player. If the two players roll different numbers, one of them will have the correct guess, and their probability of winning is 1/6.
If the two players roll the same number, then both players have the same information and the probability of either player winning is still 1/6.
The maximum probability of victory is (1/6) + (1/6) = 1/3 + 1/3 = 2/3 = 50%.
Therefore, the probability is 50%.
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Express each ratio in simplest form
a 6:8
The ratio of 6:8 in the simplest form is 3:4. The result is obtained by dividing the ratio by the same number.
What is ratio?A ratio is a comparison between two quantities with the same units. The ratio is generally expressed as
a:b (read: a is to be)
Where
a is antecedentb is consequentThe antecedent and consequent of ratio can be multiplied or divided by the same number. It will make the same value of the ratio. The simplest form of the ratio is when the antecedent and consequent cannot be divided by any positif whole number anymore.
We have 6:8. Find the simplest form!
6 and 8 can be divided by 2.
6:8 = 6/2 : 8/2
6:8 = 3:4
Hence, the simplest form of the expression 6:8 is 3:4.
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what is the missing value?
what is the growth/decay factor of the function f(x)=2(4)x
attached is a histogram of the ages of actors and actresses who won the oscar for best actor and actress from 1928 through 2007. describe the shape of this distribution.
From the information provided in this question, it is not possible to accurately determine the proportion of winning actresses who were between 30 and 40 years old when they won the Oscar or the shape of the distribution.
The histogram only provides the frequencies (proportions) of actresses at different age ranges (e.g. 0.39, 0.40, 0.41, 0.45), but it does not provide information about the actual ages or the number of actresses.
In order to determine the proportion of winning actresses within a specific age range, additional information such as the number of actresses in each age group or a plot of the actual ages would be necessary. Similarly, the shape of the distribution cannot be determined accurately based on the information provided, as the histogram only provides the frequencies.
Therefore, the information provided is not sufficient to answer the questions asked.
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