Answer:
Step-by-step explanation:
2x - 5 < -12
2x < -7
x < -7/2
A researcher is studying the growth of bacteria. He starts eith 280 of the bacteria. It grows continuously at a rate of 6% per hour. How many bacteria will there be in 16 hours?
A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
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A worker is paid $2,350 monthly and has $468 withheld from each monthly paycheck. Which of the following is her annual net salary
Identify the transformed function that represents f(x) = ln x stretched vertically by a factor of 17, reflected across the x-axis, and shifted by 19 units left.
A. g(x) = −17ln (x + 19)
B. g(x) = 17ln (x − 19)
C. g(x) = 17ln (x + 19)
D. g(x) = −17ln (x − 19)
Answer:
b
Step-by-step explanation:
ANSWER. EXPLANATION. The given logarithmic function is. The transformation,. stretches the graph of y=f(x) vertically by a factor of c units ...
4 votes
ANSWER\(y = - 3 ln(x - 7) \)EXPLANATIONThe given logarithmic function is \(f(x) = ln(x) \)The transformation, \(y = - cf(x - k)\)stretches
A probability experiment is conducted in which the sample space of the experiment is S={1,2,3,4,5,6,7,8,9,10,11,12}. Let event E={3,4,5,6,7,8}. Assume each outcome is equally likely. List the outcomes in Ec. Find P(Ec).The outcomes of Ec are {_____}P(Ec)=
Answer:
This list of all the outcome of \(E^c\) is \(E^c = \{ 1,2,9,10,11,12,\}\)
\(P(E^c ) = 0.5\)
Step-by-step explanation:
From the question we are told that
The sample sample space is \(S = \{ 1,2,3,4,5,6,7,8,9,10,11,12 \}\)
The number of elements in the sample space is \(n = 12\)
The event is \(E = \{ 3,4,5,6,7,8 \}\)
The number of outcomes in the Event is \(n_e = 6\)
The objective in to obtain \(P(E^c)\)
Now \(E^c\) is the compliment of E and number of elements in \(E^c\) ican be mathematically evaluated as
\(nE^c = n - n_e\)
substituting values
\(E^c = 12-6\)
\(E^c = 6\)
This list of all the outcomes of \(E^c\) is
\(E^c = \{ 1,2,9,10,11,12,\}\)
Generally \(P(E^c )\) which is the probability of \(E^c\) is mathematically evaluated as
\(P(E^c ) = \frac{nE^c}{n}\)
substituting values
\(P(E^c ) = \frac{6}{12}\)
\(P(E^c ) = 0.5\)
Is 237405 divisible by 11 Correct Answer = Brainliest
Answer:
Yes.
Step-by-step explanation:
.
A quadratic equation, y = ax^2 - 6x + 10, has exactly one real root. Calculate the value of a.
Answer:
a = 0.9
Step-by-step explanation:
For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.
For the given equation:
\(y = ax^2 - 6x + 10\),
• a = a
• b = -6
• c = 10.
Substituting these values into the formula for discriminant, we get:
\((-6)^2 - 4(a)(10) = 0\)
⇒ \(36 - 40a = 0\)
⇒ \(36 = 40a\)
⇒ \(a = \frac{36}{40}\)
⇒ \(a = \bf 0.9\)
Therefore the value of a is 0.9 when the given quadratic has exactly one root.
With
Sue buys a car costing £8000 plus
20% VAT.
She pays £4000 deposit and then
chooses to pay the balance in ten equal
monthly payments.
Calculate each monthly payment
CS
Answer:
Each monthly payment is of £560.
Step-by-step explanation:
Sue buys a car costing £8000 plus 20% VAT?
She has to pay:
8000 plus 20% of tax. So
\(T = 8000 + 0.2*8000 = 9600\)
She pays £4000 deposit and then chooses to pay the balance in ten equal monthly payments.
4000 deposit, and then 9600 - 4000 = 5600 divided in ten equal monthly payments.
5600/10 = 560
Each monthly payment is of £560.
Scientists plan to use selective breeding to produce a new type of wheat for farmers who live in northern areas with short summer seasons. Which of these traits would be most useful for these farmers?.
The trait would be MOST useful for these farmers is to be considered as the fast growth rate.
What is a scientist's plan?The main goal of science that should create knowledge and understanding.
Since the plan for using the breeding to produce a new type for the wheat for farmers that lived in the northern areas.
The growth rate of a value (GDP, turnover, wages, etc.) measures its change from one period to another (month, quarter, year). It is very generally expressed as a percentage.
The annual average rate of change of the gross domestic product (GDP) at market prices based on constant local currency, for a given national economy, during a specified period of time.
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A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Is the hypothesis one-tailed or two-tailed?
We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.
How to test the data indicate that the length of the left foot is greater than the length of the right foot?A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.
This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.
A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).
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When the automobile manufacturer releases a new model in its WOW series, it promises that drivers can expect to get mlleage that varies by no more than 6.5 miles per gallon from its field-tested average of 28.4 miles per gallon. Which solution represents the range of mileage you can expect from this car?
Answer:
28.4 divided by 6.5
Step-by-step explanation:
\(\int\limits^a_b {x} \, dx 2xe^{3x} \\\)
Answer:
\(b^{2}x{e}^{3x}-{a}^{2}x{e}^{3x} \)
what is the place value of 8 in fullowing number? 348000
Answer: 8000
Step-by-step explanation:
The 8 in the number 348,000 is in the thousands place.
So it represents the value of 8,000 .
AB bisects angle LAX and angle LAB measures 68 degrees. Find the measure of angle XAB
Answer: Measure of ∠ XAB = 68 degrees
Step-by-step explanation:
Given: AB bisects ∠ LAX.
We know that if a line or ray bisects an angle then it divides the angle into two equal parts.
That means if AB bisects ∠ LAX, then ∠ LAB = ∠ XAB
So if Measure of ∠ LAB = 68 degrees
Then, Measure of ∠ XAB = Measure of ∠ LAB = 68 degrees
Hence, Measure of ∠ XAB = 68 degrees
evaluate the piecewise function for h=0. PLEASE HURRY!!! I WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!!
t = 0 belongs to the interval [-3, 3] (since -3 ≤ 0 ≤ 3 is true), so use the middle function to evaluate h (0):
h (0) = 0 × (0 + 4) = 0
38 / 20 - 87 + 38 + 78
Answer:
30.9 is your answer
Step-by-step explanation:
33.21 divided by 9
What is the answer? And can you explain pls
Answer:
\(33.21 = \frac{3321}{100} \\ \\ \frac{33.21}{9} = \frac{3321}{100 \times 9} = \frac{3321}{900} = \frac{369}{100} = 3.69\)Step-by-step explanation:
Thanks
The graph of y=-3x + 2 is:
Answer:
Its going to be C!
Step-by-step explanation:
the equation is a line in slope form essentially. You can use the equation to get many answers and solutions
Please help me out I need help
Answer:
DE = 9
Step-by-step explanation:
Given quadrilateral DEFG with DG≅EF, ∠FDG≅∠DFE, and markings EF=(6x+4), DG=(4x+8), and FG=(4x+1), you want the measure of DE.
ParallelogramThe given congruences mean that the figure DEFG is a parallelogram. Opposite sides are the same length.
EF = DG
6x +4 = 4x +8
2x = 4 . . . . . . . . subtract (4x+4)
x = 2 . . . . . . . . divide by 2
Now, we can find FG.
FG = 4x+1 = 4(2) +1 = 9
Opposite side DE is the same length:
DE = 9
__
Additional comment
You can prove ΔEFD ≅ ΔGDF using SAS. Then CPCTC tells you corresponding parts of the triangles are congruent: DE≅FG.
If 4x-3=5, what is the value of x
Answer: the answer is two :)
Step-by-step explanation:
4x=5+3
4x=8
x= 8/4
x=2
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2. The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expected population of each country in 2025, assuming their annual growth rates remain steady
The expected population of each country in 2025 are 22261221, 1465382683, 116537821 and 60347662
The expected population in 2025The expected population of each country is calculated as:
P(n) = a *(1 + r)^n
Where:
a represents the initial populationr represents the growth raten represents the number of years since 20002025 is 25 years since 2000.
This means that:
n = 25
So, we have:
Australia
P(25)= 19169000 * (1 + 0.6%)^25
P(25)= 22261221
China
P(25)= 1261832000* (1 + 0.6%)^25
P(25)= 1465382683
Mexico
P(25)= 100350000 * (1 + 0.6%)^25
P(25)= 116537821
Zaire
P(25)= 51965000* (1 + 0.6%)^25
P(25)= 60347662
Hence, the expected population of each country in 2025 are 22261221, 1465382683, 116537821 and 60347662
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What is the probability of drawing a red marble out of the bag without looking?
Answer:
it depends on how many red marbles are there
Step-by-step explanation:
is there any green or orange or yellow?
Answer:1 over 3
Step-by-step explanation:
Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800. A researcher from the admissions department at the University of New Hampshire is interested in estimating the mean math SAT scores of the incoming class with 95% confidence. How large a sample should she take to ensure that the margin of error is below 29?
Using the z-distribution, it is found that she should take a sample of 46 students.
What is a z-distribution confidence interval?
The confidence interval is:
\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)
The margin of error is:
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which:
\(\overline{x}\) is the sample mean.z is the critical value.n is the sample size.\(\sigma\) is the standard deviation for the population.In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:
\(6\sigma = 800 - 200\)
\(6\sigma = 600\)
\(\sigma = 100\)
The sample size is n when M = 29, hence:
\(M = z\frac{\sigma}{\sqrt{n}}\)
\(29 = 1.96\frac{100}{\sqrt{n}}\)
\(29\sqrt{n} = 196\)
\(\sqrt{n} = \frac{196}{29}\)
\((\sqrt{n})^2 = \left(\frac{196}{29}\right)^2\)
n = 45.67.
Rounding up, a sample of 46 students should be taken.
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Please help me! My teacher gave us this and has only taught us about rectangles, not rhombi. My classmates and I are very confused
Step-by-step explanation:
It is important to know that the diagonals of a rhombus are PERPINDICUALR bisectors of each other . Opposite angles are equal and adjacen angles sum to 180 degrees .
Then remember alternate angles are equal and there are 180 degrees inside of a triangle .....then you should be able to solve these...here is the first one
A bag of marbles has 12 green marbles, 5 red marbles, 8 blue marbles and 7 yellow marbles. What is the probability of randomly selecting a blue marble?
Probability = # of desired options / # of total options
Our desired option is blue and there are 9 blue marbles in the bag.
There are 32 total marbles (options) in the bag.
P(blue) = 9 / 32 = 0.28125 = 28.125%
Hope this helps!
A bag contains 3 blue marbles, 10 green marbles, 4 yellow marbles, and 8 red marbles. A marble is chosen at random, not replaced, then another marble is chosen. What is the probability that it is a red marble, then a blue marble? Write your answer as a fraction in simplest form.
Answer:
There are a total of 25 marbles in the bag.
The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.
Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.
The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.
To find the probability of both events occurring together, we multiply their individual probabilities:
8/25 x 1/8 = 1/25
Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.
salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
What is 0.738 x 10 the 4 power
Answer:
7,380
Step-by-step explanation:
So, 10^4 = 10,000.
Now, simply count how many zeros there are on 10,000, which is 4, and move the decimal point over to the right that many times:
7,380
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
26.) In a midnight sale in a mall, Charice bought a
shirt with 40% discount. How much did she pay if the
original price is Php 200?
A. PhP 80.00
C. PhP 140.00
B. PhP 120.00
D. PhP 160.00
I will give Brainliest
Answer:
B. 120.00
Step-by-step explanation:
200-40%=120
Answer:
the answer is very easy i calculated this so if my calculations are correct it will be PHP 160.00
According to a survey, 78% of residents in Summerville own a home. If 30 residents
are randomly selected, find the probability exactly 24 residents own a home.
Answer:
0.1732 = 17.32% probability exactly 24 residents own a home.
Step-by-step explanation:
For each resident, there are only two possible outcomes. Either they own a home, or they do not. The probability of a resident owning a home is independent of any other resident. 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.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
78% of residents in Summerville own a home.
This means that \(p = 0.78\)
30 residents are randomly selected:
This means that \(n = 30\)
Find the probability exactly 24 residents own a home.
This is P(X = 24).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 24) = C_{30,24}.(0.78)^{24}.(0.22)^{6} = 0.1732\)
0.1732 = 17.32% probability exactly 24 residents own a home.