Answer:
0.01
Step-by-step explanation:
6/7% = 6÷7÷100 = 0.0085714286 round to the nearest hundredth = 0.01
Which graph represents the solution to this system of inequalities?
x + y < 4
2x − 3y ≥ 12
Answer:
A
Step-by-step explanation:
The answer is A because the systems of inequalities are plotted correctly like A shows.
#16 What is the value of x?
Answer:
x = 25 , x = 136
Step-by-step explanation:
(15)
The opposite angles of a cyclic quadrilateral are supplementary , sum to 180°
3x + 105 = 180 ( subtract 105 from both sides )
3x = 75 ( divide both sides by 3 )
x = 25
(16)
The chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, then
x = [tex]\frac{1}{2}[/tex] (VW + UX) = [tex]\frac{1}{2}[/tex](115 + 157) = [tex]\frac{1}{2}[/tex] × 272 = 136
What is the length of ef in the right triangle below 25 7
Answer:
Can we see the picture?
Step-by-step explanation:
3/4 divided by 1/2
multiple choices
2/3
1 1/4
1 1/2
3
please hurry and choose between those
Answer:
Step-by-step explanation:
A single die is rolled twice. Find found the probability of rolling an odd number and a number greater than four in either order
Answer:
3/6 for the probability of getting and odd number and 2/6 for rolling higher than the number 4
Step-by-step explanation:
Answer:
6/36 or 1/6 chance.
Step-by-step explanation:
dice roll one has the same numerator as dice roll two
As it acts the same as replaced from a marble bag.
Therefore, we show;
odd numbers on a die = 1, 3,5 = 3
= 3/6 = 1/2
and we show;
numbers higher than 4 = 5, 6 = 2
= 2/6 = 1/3
3/6 x 2/6 = 6/36 = 1/6
The reasons why its so low is that for one dice is is 1/3 chance and for the other dice it is 1/2 chance but to get them in order it reduces again by 2/3 the opposite and by 1/2 the opposite for apposing such result.
Obesity is seen as a growing health problem in many countries, including the United States. To determine whether or not there has been an increase in obesity in men over the past ten years, medical records for 50 randomly sampled men from the year 2000 and for 75 randomly sampled men from the year 2010 were analyzed. Out of the 50 men from 2000, 10 were assigned as obese according to their height and weight while 30 out of the 75 men from 2010 were assigned as obese. Calculate the z-test statistic for this hypothesis test. Round your final answer to 2 decimal places
Answer:
The z-test statistic for this hypothesis test is [tex]z = 4.33[/tex]
Step-by-step explanation:
Proportion in 2000:
10 of the 50 men were obese, so:
[tex]p = \frac{10}{50} = 0.2[/tex]
Test if it has increased:
At the null hypothesis, we test if the prevalence of obesity has not increased, that is, the proportion is of 0.2 or less, so:
[tex]H_0: p \leq 0.2[/tex]
At the alternative hypothesis, we test if this prevalence has increased, that is, the proportion is above 0.2. So
[tex]H_1: p > 0.2[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.2 is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2(1-0.2)} = 0.4[/tex]
30 out of the 75 men from 2010 were assigned as obese.
This means that [tex]n = 75, X = \frac{30}{75} = 0.4[/tex]
Value of the z-test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.4 - 0.2}{\frac{0.4}{\sqrt{75}}}[/tex]
[tex]z = 4.33[/tex]
The z-test statistic for this hypothesis test is [tex]z = 4.33[/tex]
there are 10 crates of eggs stacked in the corner. each crate of eggs holds 20 eggs. If there is only 1 broken egg in the entire stack of crates, what percent of the crates have broken eggs in them?
Answer: 5%
Step-by-step explanation: If there is one broken egg in each crate (1/20), you would change that to5%
And if there are ten crates, then you see how many eggs there a re total.
(10 × 20 = 200)
If there are 200 eggs and for every 20 eggs there is on broken one, then there will be 10 broken eggs total. or 10/200
convert the fraction to a decimal ( 10 ÷ 200 = .05)
then convert the decimal to a percent. .05 is equal to 5%
PLEAZE RATE BRAINLIEST!!!
What is the value of log2 18 rounded to the nearest hundredth?
Answer: 4,170
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} log_2 18=log_2 \ 2+log_2 \ 9=1+3,16\underline99 \approax \approx4,170[/tex]
help with num 9 please. thanks
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:
[tex]f(x) = e^x - e^{-x}[/tex]
Increases for all values of x.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
[tex]\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right][/tex]
Differentiate:
[tex]\displaystyle f'(x) = e^x - (-e^{-x})[/tex]
Simplify:
[tex]f'(x) = e^x+e^{-x}[/tex]
Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of x.
Diane bought new headphones originally listed for $70.99. They are 25% off. Which equation can be used to find the amount Diane will save?
Step-by-step explanation:
100% = $70.99
there is a discount of 25%.
that means 75% (100 - 25) of the original price remains.
the equation to get any x% amount of a 100% total is simply
x% amount = 100% total amount × x/100
25% = 70.99 × 25/100 = $17.75
I’ll mark u plz help
Answer:
A. 3/2
Step-by-step explanation:
I like to think of it as shift left or right by the numerator and shift up or down by the denominator. So I go over three and up two from (-3, -1) to reach (0, 1)
Answer:
3divided by 2 I think...
write your answer in simple.st radical form
Answer:
a = 3[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex] , then
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{3\sqrt{2} }[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by 3[tex]\sqrt{2}[/tex] )
a = 3[tex]\sqrt{2}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{6}[/tex]
How many more combined faces and vertices does a prism have than edges
A.1
B.2
C.3
D.4
Answer:
1
Step-by-step explanation:
I hope my answer is write
A rectangular dance floor has a width of 12 meters and a length of 16 meters. What is the length of a diagonal of the dance floor? moters
Answer:
20
Step-by-step explanation:
The diagonal of a rectangle can be found using the formula:
[tex]\sqrt{(l^2 + w^2)}[/tex]
!!!!!!!!PLEASE HELP NOW !!!!!!!!!!!!!!!!!!
What is the following product?
45 47 47.45
4(977)
O AN
74
7
Answer:
7
Step-by-step explanation:
You can convert the fourth square roots to [tex]7^{\frac{1}{4}}} * 7^{\frac{1}{4}}} * 7^{\frac{1}{4}}} * 7^{\frac{1}{4}}}[/tex]. Using the product of powers rule, we can add the four terms' exponents, resulting in [tex]7^1[/tex], which is 7.
Describe the domain and range of the graph
Domain={-5,4}
Range={-3,4}
Calculate the total
8/10+82/100
Answer:
81/50
Step-by-step explanation:
=8/10+82/100
=8/10+41/50
=40+41/50
=81/50
which of the following is equal to 7 1/4
Answer:
29/4
Step-by-step explanation:
convert to improper fraction
Write the equation of the line through the points (1,3) & (-2,5)in slope-intercept form
Answer:
-2/3
Step-by-step explanation:
Well you would use slope-intercept formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Then you need to plug in your numbers so it would look like [tex]\frac{5-3}{-2-1}[/tex]. then it would look like [tex]\frac{2}{-3}[/tex] and that would be your m. The next step would be to
I’m so confused. Need the help
1.621 kN
Step-by-step explanation:
Let the centerline of the canal be the x-axis. Because the forces exerted by the horses are symmetric to the centerline, only the x-components of these forces contribute to the resultant force on the barge, i.e., the y-components cancel out. Each x-component is equal to [tex]F_x = 839\cos 15[/tex] = 810.4 N. Therefore, the resultant force on the barge is twice this:
[tex]F_{net} = 2(839\:\text{N})\cos 15 = 1620.8\:\text{N}[/tex]
[tex]= 1.621\:\text{kN}[/tex]
please answer all the questions and get 15 pts
Answer:
Here you go
Ans is in pictures.
A square with a side of 8 cm is enlarged by a scale factor of 3. What would be the side length of the new square?
22 cm
20 cm
18 cm
24 cm
Answer:
24cm
Step-by-step explanation:
Length = 8 × 3
= 24cm
hope it helps
(752+158)-625
Compute in most convenient way
Answer:
285
Step-by-step explanation:
First, you would add 752 and 158. The sum is 910. Then, you subtract 625 and get 285.
What is the vertex of the graph of y = 2(x + 5)2 - 2?
Answer:
The vertex is (-5, -2)
Step-by-step explanation:
y = 2(x + 5)^2 - 2
The vertex form of a parabola is
y =a(x-h)^2 +k where (h,k) is the vertex
y = 2(x - -5)^2 - 2
The vertex is (-5, -2)
If a person invests $100 at 4% annual interest, find the approximate value of
the investment at the end of 10 years.
Answer:
$140
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + rt)[/tex]
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 100
r = 4% = 0.04
t = 10
Step 2: Find Interest
Substitute in variables [Simple Interest Rate Formula]: A = 100(1 + 0.04 · 10)(Parenthesis) Multiply: A = 100(1 + 0.4)(Parenthesis) Add: A = 100(1.4)Multiply: A = 140The jury pool for the upcoming murder trial of a celebrity actor contains the names of 100,000 individuals in the population who may be called for jury duty. The proportion of the available jurors on the population list who are Hispanic is .40. A jury of size 12 is selected at random from the population list of available jurors. Let X = the number of Hispanics selected to be jurors for this jury.
a. What is the expected number of hispanic jurors being on the jury?
b. What is the expected value (or theoretical mean) of a great earthquake off the coast of Oregon in two years?
c. Use the poisson distribution to appropriate the probability that there will be at least one major earthquake in the next two years.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Have a Spanish Jury possibility[tex]= 0.40[/tex]
Jury member No. to be chosen[tex]= n= 12[/tex]
Hispanic Juror Expected [tex]= np = 12\times 0.40 = 4.8[/tex]
The jury group will be constituted by Hispanic Jurors [tex]4.8[/tex]
OR
The binomial distribution defines the behavior of a count variable X, provided:
There are a set number of data points n.
Set [tex]n=12[/tex]
Each perception is independent. This will not affect others if your first juror is selected
One of two results is that each observation ("success" or "failure"). English or not
Each result has the same chance of "success" p. for every [tex]p=0.40[/tex]
Well by the binomial distribution. Mean[tex]=E(x)=np=4.8[/tex]
Which exponential equation is equivalent to this logarithmic equation?
log, I - log, 25 = 7
OA. 59 = x
OB. 75 = x
Oc. 55 = x
OD. 70 =X
Answer:
Step-by-step explanation:
i assume that you mean
log X (25) = 7
which would be:
x power by 7 = 25, but it is wrong, so more clear questions please
The exponential equation is equivalent to this logarithmic equation is 5^9 = x, the correct option is A.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
I - log, 25 = 7
Now,
To convert a logarithmic equation to an exponential equation, we can use the following property:
[tex]log_b(x)[/tex] = y if and only if b^y = x
where b is the base of the logarithm, x is the argument of the logarithm, and y is the value of the logarithm. In this case, the base of both logarithms is 5, so we can apply this property to both sides of the equation. We get:
[tex]log_5(x) - log_5(25) = 75^(log_5(x) - log_5(25)) = 5^7[/tex]
Using another property of logarithms, we can rewrite the left-hand side as:
[tex]5^(log_5(x/25)) = 5^7[/tex]
Using the property of exponents and logarithms again, we can simplify the left-hand side as:
x/25 = 5^7
Multiplying both sides by 25, we get:
x = 25 * 5^7
x = 25 * 78125
x = 1953125
Therefore, by the given equation the answer will be 5^9 = x.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ7
The table shows the distribution, by age and gender, of the 31.6 million people who live alone in a certain region. Use the data in the table to find the probability that a randomly selected person living alone in the region is in the 25-34 age range.
The probability is ___.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Answer:
0.1487
Step-by-step explanation:
From the table :
The total number of people living alone in the region = 31.6
The number of people living in the region who fall with the 25 - 34 age range is 4.7
Probability, P = required outcome / Total possible outcomes
P(range 25 - 34) = (number of people who fall within the 25 - 34 age range) / total population
P(range 25 - 34) = 4.7 / 31.6 = 0.1487
Line p and q are parallel lines. The slope of line q is -3. Determine the slope of line p
Answer:
-3
Step-by-step explanation:
since the lines are parallel, they have the same slope because they never intersect
Consider the sequence {an}={3n+13n−3n3n+1}. Graph this sequence and use your graph to help you answer the following questions.
Part 1: You can simplify [tex]a_n[/tex] to
[tex]\dfrac{3n+1}{3n}-\dfrac{3n}{3n+1} = \dfrac1{3n}+\dfrac1{3n+1}[/tex]
Presumably, the sequence starts at n = 1. It's easy to see that the sequence is strictly decreasing, since larger values of n make either fraction smaller.
(a) So, the sequence is bounded above by its first value,
[tex]|a_n| \le a_1 = \dfrac13+\dfrac14 = \boxed{\dfrac7{12}}[/tex]
(b) And because both fractions in [tex]a_n[/tex] converge to 0, while remaining positive for any natural number n, the sequence is bounded below by 0,
[tex]|a_n| \ge \boxed{0}[/tex]
(c) Finally, [tex]a_n[/tex] is bounded above and below, so it is a bounded sequence.
Part 2: Yes, [tex]a_n[/tex] is monotonic and strictly decreasing.
Part 3:
(a) I assume the choices are between convergent and divergent. Any monotonic and bounded sequence is convergent.
(b) Since [tex]a_n[/tex] is decreasing and bounded below by 0, its limit as n goes to infinity is 0.
Part 4:
(a) We have
[tex]\displaystyle \lim_{n\to\infty} \frac{10n^2+1}{n^2+n} = \lim_{n\to\infty}10+\frac1{n^2}}{1+\frac1n} = 10[/tex]
and the (-1)ⁿ makes this limit alternate between -10 and 10. So the sequence is bounded but clearly not monotonic, and hence divergent.
(b) Taking the limit gives
[tex]\displaystyle\lim_{n\to\infty}\frac{10n^3+1}{n^2+n} = \lim_{n\to\infty}\frac{10+\frac1{n^3}}{\frac1n+\frac1{n^2}} = \infty[/tex]
so the sequence is unbounded and divergent. It should also be easy to see or establish that the sequence is strictly increasing and thus monotonic.
For the next three, I'm guessing the options here are something to the effect of "does", "may", or "does not".
(c) may : the sequence in (a) demonstrates that a bounded sequence need not converge
(d) does not : a monotonic sequence has to be bounded in order to converge, otherwise it grows to ± infinity.
(e) does : this is true and is known as the monotone convergence theorem.