Answer:
74
Step-by-step explanation:
Using PEMDAS we can see that we need to do the parentheses first.
After that we need to add the answers together.
This gives us our answer of 74.
Solve 5x - c = k for x.
Answer:
Step-by-step explanation:
5x - c = k
Add c to each side
5x - c+c = k+c
5x = (k+c)
Divide each side by 5
5x/5 = (k+c)/5
x = (k+c)/5
Answer:
x=(k+c)/5
Step-by-step explanation:
5x-c=k (Original Equation)
5x-c+c=k+c (Addition Property of Equality)
5x=k+c (Simplify)
x=(k+c)/5 (Division Property of Equality)
if AB = 3, AD= 5, andDE= 6, what is the length of BC?
Answer:
D. 3.6
Step-by-step explanation:
=> Taking proportionality of the similar sides to find BC
[tex]\frac{AB}{AD}=\frac{BC}{DE}[/tex]
[tex]\frac{3}{5} = \frac{BC}{6}[/tex]
Multiplying 6 to both sides
[tex]BC = 0.6 * 6[/tex]
BC = 3.6
the correct
9. 5(x - 2) = 15
a. 10
b. 5
c. 1
Answer:
the answer is 5
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
5x-10=15
5x=25
x=5
Polygon LMNOP~polygon VWXYZ which of the following statement ms is not true
Answer:
Ah, great question.
Your answer is D.
To solve this, read the instructions closely.
~ means that the two shapes displayed are congruent, and equal.
Follow the order of vertices of the polygon to figure out which statement is false. Specifically "LMNOP" is the order to read the shape, and "VWXYZ" is the order to read the other shape.
Read each option, and you'll notice each side is correspondent with each other according to the congruence statement. Now that we know this, continue doing that to all the choices.
D is the only one that has two different side lengths shown.
work out the following giving your answer in its simplest form . 2 1/3 divide 1/4
Answer:
[tex]\frac{28}{3}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{3}=\frac{7}{3}[/tex]
[tex]\frac{7}{3}*4=\frac{28}{3}[/tex]
Answer:
9 1/3
Step-by-step explanation:
2 1/3=7/3
7/3 divide 1/4=7/3 x 4/1=28/3=9 1/3
Can someone help me with this?
Answer:
Step-by-step explanation:
These are mostly calculator problems. The only trick is the last one. Your calculator will have either a y^x button or ^ button. They both do the same thing.
So for the last one, you must do it as
64 y/x (1÷6)= and you will get 2. Perhaps all of them should be done that way.
If your calculator uses ^ then you would do it
64^(1÷6)= which is the same thing.
Answers
a 4
b 10
c 5
d 2
Two lines intersect and two of the vertical angles measure 37°. What is the measure of the other two vertical angles?
Answer:
286 degrees and 143 degrees
Step-by-step explanation:
When line intersect the two vertical angle adds up to 180 degrees
To find the other vertical angle:
180 -37=143 degrees
So for two vertical angles
we take (180*2)-(37*2)=286 degrees
Lisa reads 46 pages and Sunday 15 pages on Monday and 19 pages on Tuesday which of the following is the closest to the mean number of the pages she read over the three dayperiod
Answer:
80
Step-by-step explanation:
46+15+19 which should give you a total answer of 80
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Alissa got a score of 68.568.5; this version has a mean of 60.460.4 and a standard deviation of 99. Morgan got a score of 252.5252.5; this version has a mean of 227227 and a standard deviation of 1717. Norma got a score of 7.967.96; this version has a mean of 6.76.7 and a standard deviation of 0.70.7. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answer:
Due to the higher Z-score, Norma should be offered the job
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question:
Whoever has the higher z-score should be offered the job.
Alissa:
[tex]X = 68.5, \mu = 60.4, \sigma = 9[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{68.5 - 60.4}{9}[/tex]
[tex]Z = 0.9[/tex]
Morgan:
[tex]X = 252.5, \mu = 227, \sigma = 17[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{252.5 - 227}{17}[/tex]
[tex]Z = 1.5[/tex]
Norma:
[tex]X = 7.96, \mu = 6.7, \sigma = 0.7[tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.96 - 6.7}{0.7}[/tex]
[tex]Z = 1.8[/tex]
Due to the higher Z-score, Norma should be offered the job
plsss help meeeeeee I would really appreciate it I would be really happy if u help meeee
[tex]the \: answer \: is \: 22.4 \: cm \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
The length of AE is 22.4cm rounded to one decimal place.
Find the factorization of the polynomial below.
81x2 - 18x + 1
Answer:
(9x - 1)²
Step-by-step explanation:
If you can tell, the square root of 81 is 9. This should be a clue that the polynomial could be one binomial squared. If you tried factoring starting out with 9x in both parenthesis, you could see that you would get (9x - 1)² as your answer.
Answer:
(9x-1)²
Step-by-step explanation:
81x² - 18x + 1= (9x)²- 2*9x+1²= (9x-1)²
Need geometry answer
Answer:
x = 4.1 cm
Step-by-step explanation:
The long leg of the right triangle is half the chord length, so is ...
15.6 cm/2 = 7.8 cm
Then the leg marked x can be found from the Pythagorean theorem.
x^2 +7.8^2 = 8.8^2
x = √(77.44 -60.84) = √16.6 ≈ 4.1
x is about 4.1 cm.
Suppose a student carrying a flu virus returns to an isolated college campus of 7000 students. Determine a differential equation governing the number of students x(t) who have contracted the flu if the rate at which the disease spreads is proportional to the number of interactions between students with the flu and students who have not yet contracted it. (Use k > 0 for the constant of proportionality and x for x(t).)
Answer:
The differential equation is [tex]\frac{dx(t)}{dt} = k x(t) [7000 - x(t)][/tex]
Step-by-step explanation:
From the question we are told that
The number of students are [tex]n = 7000[/tex]
The number of student that have contracted the flu is x(t)
The number of student that don't have the flu is mathematically represented as
[tex]z = 7000 - x(t)[/tex]
The rate at which the disease spread is proportional to the number of interactions between students with the flu and students who have not yet contracted it, which can be mathematically represented as
[tex]\frac{dx(t)}{dt} \ \ \ \alpha\ \ \ x(t) [7000 - x(t)][/tex]
=> [tex]\frac{dx(t)}{dt} = k x(t) [7000 - x(t)][/tex]
Do consumers spend more on a trip to Target or Walmart? Suppose researchers interested in this question collected a systematic sample for 84 Target customers and 80 Walmart customers by asking customers for their purchase amount as they left the store. Using the given summary statistics, researchers calculated a 95% confidence interval for the mean difference between Target and Walmart purchase amounts. The interval was ($negative 15.05,$negative 2.95). Explain in context what this interval means.
Answer:
Step-by-step explanation:
Confidence interval for the difference between two population means is written in the form,
difference in sample means ± margin of error
The difference in sample means is the point estimate for the difference in population means. In the given scenario, the point estimate is the difference in mean amount spent by the sampled customers on a trip to Target or Walmart.
Since the interval was (- $15.05,$2.95), it means that the lower limit is - $15.05 and the upper limit us $2.95.
Therefore, the 95% confidence interval is providing a range that we are 95% confident that the true difference in mean amount spent by Target customers and Walmart customers falls between - $15.05 and $2.95
A recent debate about where in the United States skiers believe the skiing is best prompted the following survey. Test to see if the best ski area is independent of the level of the skier. (Use a significance level of 0.05.) Beginner Intermediate Advanced 39 29 U.S. Ski Area Tahoe Utah Colorado 8 8 29 38 What distribution is used for this test?
Answer:
Chi-square distribution
Step-by-step explanation:
We want to investigate that whether best ski area is independent of skier level or not so this situation leads to test of independence. For investigating independence of two variable we usually use chi-square distribution.
Thus, for conducting the test for investigating the independence between best ski area and skier level we use chi-square distribution.
The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is
unknown
What is the smallest possible perimeter of the triangle, rounded to the nearest tenth?
41.0 in
512 in
724 in
81.2 in
Answer:
(C)72.4 in
Step-by-step explanation:
Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.
Consider the attached diagram
AB=BC=x
However to be able to solve for x, we form a right triangle with endpoints A and C.
Since the hypotenuse is always the longest side in a right triangle
Hypotenuse, AC=30 Inches
Using Pythagoras Theorem
[tex]30^2=x^2+x^2\\900=2x^2\\x^2=450\\x=\sqrt{450}\\x=21.21$ inches[/tex]
Therefore, the smallest possible perimeter of the triangle
Perimeter=2x+30
=2(21.21)+30
=42.42+30
=72.4 Inches (rounded to the nearest tenth)
A circle is defined by the equation given below.
x^2+y^2-x-2y-11/4=0
What are the coordinates for the center of the circle and the length of the radius?
Answer:
(1/2, 1)
2
Step-by-step explanation:
x² + y² − x − 2y − 11/4 = 0
x² − x + y² − 2y = 11/4
Complete the squares.
x² − x + 1/4 + y² − 2y + 1 = 11/4 + 1/4 + 1
(x − 1/2)² + (y − 1)² = 4
The center of the circle is (1/2, 1) and the radius of the circle is 2.
Answer:
Option A
Step-by-step explanation:
[tex](\frac{1}2} ,1)[/tex], 2 units
the amount of time it takes to complete a reading assignment might be a function of which of the following
Answer:
Option B is correct
Step-by-step explanation:
The amount of time it takes to complete a reading assignment is not concerned with publishing year of the book (it might be published already).
The amount of time it takes to complete a reading assignment is also not related to the cost of the book (it might be purchased already)
The amount of time it takes to complete a reading assignment is related to the number of pages. Because if you complete a reading assignment, you might need to read all of the pages in the assignment.
Hope this helps!
:)
Point A on a coordinate grid is at (3, 4). What are the coordinates of R y=x (A)?
Answer:
A'(4, 3)
Step-by-step explanation:
When a point is reflected across the line y = x, the transformation is ...
(x, y) ⇒ (y, x)
A(3, 4) ⇒ A'(4, 3)
The reflected point is (4, 3).
A type of bacterium triples in population every hour. Assuming you start with
90 bacteria, the formula that models the number of bacteria at the beginning
of hour nis:
a(n) = 90.3n-1
How many bacteria will there be at the beginning of hour 5?
Answer:
7290
Step-by-step explanation:
Put 5 in the formula and evaluate.
a(5) = 90·3^(5-1) = 90·81 = 7290
There will be 7290 bacteria at the beginning of hour 5.
Lettuce is planted on a 46-acre field. The field is divided into one-acre subplots. A sample is taken from each subplot to estimate the harvest. What type of sampling is used? A. Convenience sampling is used, since the lettuce plants closest to the barn are sampled. B. Stratified sampling is used, since the field is divided into subplots and a random sample is taken from each subplot. C. Cluster sampling is used, since the field is divided into subplots, a number of subplots are selected, and every lettuce plant in the selected subplots is sampled. D. Simple random sampling is used, since each sample of lettuce plants of the same amount has the same chance of being selected.
The correct answer is B. Stratified sampling is used since the field is divided into subplots and a random sample is taken from each subplot.
Explanation:
Sampling refers to the process followed by researchers to select a group of individuals from a larger group; considering in most studies it is not possible to analyze all the population. In the case of stratified sampling, this involves dividing the general population into smaller groups, which are known as strata; after this, the researcher selects a specific number of individuals from each strata. This method guarantees the sample is selected randomly, and therefore the study is not biased. Stratified sampling was the method used in the example described because, in this, the general population (46-acre field) was divided into subplots that represent the strata. Also, after this, the researcher selected one random sample.
Jack and Rebecca Pearson just had triplets. They want to have enough money for their
children's college fund. So they decide to deposit $100 at the end of each quarter for 20
years into an account paying 4.2% annual interest compounded quarterly.
a) How much is in the account at the end of 20 years?
b) How much did the Pearsons actually contribute to the college fund account?
c) How much interest did the account earn in those 20 years?
Answer:
a) $12,440.43
b) $8,000.00
c) $4,440.43
Step-by-step explanation:
the question is a bit ambiguous, I calculated from zero initial Deposit to $100 per quarter. If they deposited $100 initially and then $100 quarterly for 20 years then the numbers are as follows.
a) $12,671.05
b) $8,100
c) $4,571.05
a) $12,440.43
b) $8,000.00
c) $4,440.43
Step-by-step explanation:
the question is a bit ambiguous, I calculated from zero initial Deposit to $100 per quarter. If they deposited $100 initially and then $100 quarterly for 20 years then the numbers are as follows.
a) $12,671.05
b) $8,100
c) $4,571.05
graph the function f(x)=(x+2)(x-4). Which describes all of the values for which the graph is negative and decreasing?
Answer:
[tex]x\in(-2,1)[/tex]
Step-by-step explanation:
We are given that a function
[tex]f(x)=(x+2)(x-4)[/tex]
[tex]f(x)=x^2-2x-8[/tex]
Differentiate w.r.t x
[tex]f'(x)=2x-2[/tex]
[tex]f'(x)=0[/tex]
[tex]2x-2=0[/tex]
[tex]2x=2\implies x=\frac{2}{2}=1[/tex]
Therefore, intervals
[tex](-\infty,1),(1,\infty)[/tex]
Interval :[tex](-\infty,1)[/tex]
x=0
[tex]f'(0)=-2<0[/tex]
Decreasing function.
Interval:[tex](1,\infty)[/tex]
Substitute x=2
[tex]f'(2)=2(2)-2=2>0[/tex]
Function increasing.
From given graph we can see that function is negative for the values of x
-2<x<4
Hence, the graph is negative and decreasing for the values of x
[tex]x\in(-2,1)[/tex]
Answer:the answer is c/ all real values of x where 1<x<4
Step-by-step explanation:
edge 2020
Which equation has two real solutions?
A. x2 = –100
B. 5x2 = 1
C. 6x2 + 17 = 11
D. 7(x2 + 6) = 42
Answer:
B. 5x² = 1Step-by-step explanation:
A. x² = –100
This equation has no solution because x² is always positive.
B. 5x² = 1
then x² = 1/5
then x = 1/(√5) or x = -1/(√5)
C. 6x² + 17 = 11
then 6x² = 11 - 17 = -6
then x² = -6/6 = -1
This equation has no solution because x² is always positive.
D. 7(x + 6) = 42
then x + 6 = 42/7 = 6
then x = 6 - 6 = 0
_____________________
:)
One week 72 people got a speeding ticket the next week only 36 people get a speeding ticket what is the percentage of change in the speeding tickets
Answer:
The answer would be 50%
Step-by-step explanation:
You Would get this by dviding 36/72 which would give you .5 and then you convert that to a percentage
Answer:
50%
Step-by-step explanation:
What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?
A blueprint of a new house has a scale of 1inch 5 feet The length of the family room on the family room on the drawing is 4/4 inches. How long is the family room
Answer:87
Step-by-step explanation:
866
Consider the following trigonometric function. h(x) = 3 sin (2x - pi) + 2. Graph h(x) in the interactive widget.
Answer:
Hope it helped!
Step-by-step explanation:
what is the equation of the line that passe through the points (-3,-3) and (3,1)
Answer:
work is shown and pictured
Who failed to support civil rights for freed slaves? (wrong category by mistake, not mathematics)
Answer:
The Supreme Court.
Step-by-step explanation:
After the end of the Civil War and the enactment of the Thirteenth Amendment in 1865, slavery was officially abolished in the United States. Thus, the millions of African American slaves that inhabited the southern states of the country won their freedom and equality before the law against whites.
Now this situation began to dismember in 1877, when federal troops left the southern states and Reconstruction officially came to an end. From then on, Democratic governors and legislators began to sanction the Black Codes and Jim Crow Laws, aimed at curtailing the civil and political rights of African-Americans.
This situation was tested before the Supreme Court in 1896 in the case Plessy v. Ferguson. But in the ruling of said case, the Supreme Court established that racial segregation was constitutional and therefore neglected African Americans and their rights.