-5x+20<5 solve for x
Answers
Answer: x > 3
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is -5x by subtracting 20 from both sides. That leaves you with -5x < -15.
To get x by itself, divide both sides by -5, but watch out.
If you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.
So we have x > 3.
I have also graphed the inequality for you below.
Start with an open dot at 3. The reason for that is because x > 3 but x is not equal to 3 so we use an open dot.
Now, draw an arrow to the right to
represent all numbers greater than 3.
Related Questions
What’s the correct answer or this?
Answers
Answer:
Height = 35 x sin(55deg) = ~28.7 feet
Answer:
B
Step-by-step explanation:
Sin ∅ =opposite/HYPOTENUSE
Sin 55 =opposite/35
0.82×35=opposite
Opposite=28.7 feet
Geraldine is picking a four-digit password by using the digits 0 through 9. She can use each digit only once. How many different passwords are possible? 34 40 5,040 10,000
Answers
Answer:
5040 different combinations
Step-by-step explanation:
0-9 = 10 numbers
1st digit can be 1 0f 10
2nd digit can be 1 of 9
3rd digit can be 1 of 8
4th digit can be 1 of 7
10×9×8×7=5040
Given the explicit formula an=3(-4)n-1, what is the sixth term?
Answers
Answer:
a6 = -3072
Step-by-step explanation:
Put 6 where n is and do the arithmetic.
Since the form of your function looks like it is trying to describe a geometric sequence, we assume you actually mean ...
an = 3(-4)^(n-1)
So, for n=6, this has the value ...
a6 = 3(-4)^(6-1) = 3(-1024)
a6 = -3072
_____
Same deal if you really mean
an = -12n -1
a6 = -12(6) -1 = -73
how old is a skeleton that has lost 27% of its carbon-14? Use the exponential decay model for carbon-14, A=A0e^-0.00012 1t Round the answer to the nearest whole number.
Answers
Answer:
10 years
Step-by-step explanation:
If one gallon of milk costs 3.35, how much would 12 quarts of milk cost
Answers
Answer:
10.05 for 12 quarts
Step-by-step explanation:
A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with a standard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100. Construct a 95% confidence interval for mu 1minusmu 2.
Answers
Answer:
For the first city, the 95% confidence interval would be:
28,900 +/- 2300 x 3 = 28,900 +/-6900$
For the second city, the 95% confidence interval would be:
30,300 +/- 2100 x 3 = 30,300 +/- 6300$
In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were reported for a sample of students who worked and for a sample of students who did not work. The samples were selected at random from working and nonworking students at a university. (Use a statistical computer package to calculate the P-value. Use μemployed − μnot employed. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)
Sample Size Mean GPA Standard Deviation
Students Who
Are Employed 172 3.22 0.475
Students Who
Are Not Employed 116 3.33 0.524
t =
df =
P =
Does this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed? Use a significance level of 0.05.
Answers
Answer:
Step-by-step explanation:
This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed
The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.
We would set up the hypothesis.
The null hypothesis is
H0 : μ1 = μ2 H0 : μ1 - μ2 = 0
The alternative hypothesis is
H1 : μ1 < μ2 H1 : μ1 - μ2 < 0
Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is
(μ1 - μ2)/√(s1²/n1 + s2²/n2)
From the information given,
μ1 = 3.22
μ2 = 3.33
s1 = 0.475
s2 = 0.524
n1 = 172
n2 = 116
t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)
t = - 1.81
The formula for determining the degree of freedom is
df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²
df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878
df = 230
We would determine the probability value from the t test calculator. It becomes
p value = 0.036
Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.
Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed
GIVING BRANLIEST Which prism has a greater surface area?
2 prisms. A rectangular prism has a length of 12 inches, height of 8 inches, and width of 6 inches. A triangular prism has a rectangular base with a length of 6 inches and height of 12 inches. 2 rectangular sides are 12 inches by 10 inches. The triangular sides have a base of 6 inches an height of 8 inches.
The rectangular prism has a greater surface area by 72 square inches.
The rectangular prism has a greater surface area by 88 square inches.
The triangular prism has a greater surface area by 72 square inches.
The triangular prism has a greater surface area by 88 square inches.
Answers
Answer:
Rectangular prism
Step-by-step explanation:
6. A golfer is standing at the tee,
looking up to the green on a hill. If the
tee is 36 yards lower than the green
and the angle of elevation from the tee
to the hole is 12º, find the distance from
the tee to the hole.
Answers
Answer:
173.15 yards is the distance from tee to hole.
Step-by-step explanation:
Please refer to the image attached.
Let A is the position of tee and where the golfer is standing.
C is the position of hole.
CB is the vertical distance between greens and tee.
Angle of elevation, [tex]\angle BAC = 12^\circ[/tex]
To find: side AC.
Using trigonometric functions, we know that value of sine is:
[tex]sin\theta = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]
Here [tex]\theta = \angle BAC = 12^\circ[/tex]
Perpendicular is side CB.
Hypotenuse is side AC.
[tex]sin12^\circ = \dfrac{\text{CB}}{\text{AC}}\\\Rightarrow \text{CB} = \dfrac{36}{sin12^\circ}\\\Rightarrow \text{CB} = 173.15\ yards[/tex]
Hence, 173.15 yards is the distance from tee to hole.
Mary is seven years younger than Julie. Rose is 38. Beth is four years older than rose and seven years older than Julie. How old is Mary
Answers
Answer:
Mary is 28 years old
Step-by-step explanation:
Rose is 38
Beth is 4 + 38 = 42
Julie is 42 - 7 = 35
Mary is 35 - 7 = 28
---
Hope this helps! :) If so, please mark my answer as brainliest!
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Reyna got a score of 75.3; this version has a mean of 69.3 and a standard deviation of 12. Kaitlyn got a score of 228.4; this version has a mean of 206 and a standard deviation of 28. Cade got a score of 7.88; this version has a mean of 7.2 and a standard deviation of 0.4. 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?
Answers
Answer:
Due to the higher z-score, Cade 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.
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?
Whoever had the higher z-score.
Reyna:
Reyna got a score of 75.3; this version has a mean of 69.3 and a standard deviation of 12.
This means that [tex]X = 75.3, \mu = 69.3, \sigma = 12[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75.3 - 69.3}{12}[/tex]
[tex]Z = 0.5[/tex]
Kaitlyn:
Kaitlyn got a score of 228.4; this version has a mean of 206 and a standard deviation of 28.
This means that [tex]X = 228.4, \mu = 206, \sigma = 28[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{228.4 - 206}{28}[/tex]
[tex]Z = 0.8[/tex]
Cade:
Cade got a score of 7.88; this version has a mean of 7.2 and a standard deviation of 0.4. This means that [tex]X = 7.88, \mu = 7.2, \sigma = 0.4[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.88 - 7.2}{0.4}[/tex]
[tex]Z = 1.7[/tex]
Due to the higher z-score, Cade should be offered the job.
How can I solve for c
Answers
Answer:
[tex](\frac{2}{5})c[/tex]
Answer:2/5c
Step-by-step explanation:
(a+b)/(a-b) =c
(a-b)/(a+b)=1/c
Multiply both sides by 2/5
2/5 x (a-b)/(a+b)=2/5 x 1/c
2(a-b)/5(a+b)=2/5c
Need help with Math question
Answers
Answer:
B; {x|x<-8}
Step-by-step explanation:
In a math class of 32 students, 18 boys and 14 are girls. On a unit test, 5 boys and 7 girls made an A grade. A student is chosen at random from the class. What is the probability of choosing a girl or an A student?
Answers
Answer:
14+7=21
The probability is 21/32 or 65,625%
Step-by-step explanation:
You just add the number of girl students (including the ones that got an A) with the number of boys that got an A
Then you divide that number by the total of students (32)
The probability of choosing a girl or an A grade student is 19/32.
What is probability ?Probability is the chance or possibility to occur any selected event.
If the number of possible outcomes of an event is divided by the total number of outcomea of the event then it is called probability of that particular event.
What is the required probability ?In a maths class,
The total number of students = 32
No. of boys = 18 & no. of girls = 14
On an unit test, 5 boys made an A grade whereas 7 girls made an A grade.
The probability of choosing a girl = 14/32 = P(A) (say)
And, The probability of choosing an A grade student = 12/32 = P(B) (say)
Hence, the probability of choosing an A grade student who is a girl = P(A∩B) = 7/32
∴ The probability of choosing a girl or an A grade student =
P(A∪B) = P(A)+P(B)-P(A∩B)
= 14/32+ 12/32-7/32
= 26/32-7/32
= 19/32
Hence, The required probability is 19/32.
Learn more about probability here :
https://brainly.com/question/251701
#SPJ2
Jacob rolls a number cube numbered 1 to 6. What is the likelihood Jacob rolls a number less than 7?
Answers
Therefore youre likely to roll a number 7 on a dice (1-6) ZERO AMOUNT OF TIMES
Solve for x - y = -3
Answers
Answer:
0-3=-3
Step-by-step explanation:
1. X-y= -3
2. Add y to both sides
3. X= -3+y
What is y:
1. X-y= -3
2. Subtract x from both sides
3. -y=-3-x
4. Divide both sides by negative 1
5. y=3+x
Solution;
-3+y, 3+x
Hope this helps!!
Patricia got a 5/25 balloon mortgage and her initial payments were $965. She
decided to refinance her balloon payment with a 30-year mortgage and her
new payments were $925. What is the total financed cost she paid for her
house?
A.341,459
B.390,900
C.34,020
D.337,320
Answers
Answer:
$390,900
Step-by-step explanation:
Given that.
Initial payment = $965
New rapayment = $925
when she decided to refinance her ballon payment with a 30 year mortgage
In this case,
a 5/25 ballon mortgage simply means loan repayment for the first 5 years is at a fixed rate.
Which means the total amount she paid in the first five years was=
12 * 5 * $965
= $57,900
When she refinanced the payment with a 30 year mortgage, her total payment
= $925 * 12 * 30years
= $333,000
Total financed cost Patricia paid =
$57,900 + $333,000
= $390,900
What is volume of a cylinder with base area 64pi cm² and a height equal to twice the radius? Give your answer in terms of pi.
512 pi
256 pi
1024 pi
4096 pi
Answers
Answer:
1024 pi
Step-by-step explanation:
The area formula is ...
A = πr^2
So, the radius is ...
r = √(A/π)
For the given area, the radius of the cylinder is ...
r = √(64π/π) = 8 . . . . cm
The height is said to be twice this value, so is 16 cm.
__
The volume of the cylinder is found from ...
V = Bh
where B is the base area and h is the height. Our cylinder has a volume of ...
V = (64π cm^2)(16 cm) = 1024π cm^3
1+34n
Square root 7
Need
Help with question
Answers
Answer:
what question is this
please explain more
Step-by-step explanation:
Two figures are arranged as shown. Which of the following can be used to the area of the figure
shaded light gray?
9
9
Answers
Answer:
[tex]9^{2} -x^{2}[/tex]
Step-by-step explanation:
The figure is shown in the image attached.
Notice that the shaded light gray area can be calculated by the difference of the bigger square and the smaller square.
The area of the bigger square is: [tex]A_{big}=9^{2}[/tex]
The area of the smaller square is: [tex]A_{small}: x^{2}[/tex]
The difference between these areas is: [tex]A=9^{2} -x^{2}[/tex]
Therefore, the expression that can be used to find the light gray area is: [tex]9^{2} -x^{2}[/tex]
Additionally, the expression [tex]x(9-x)+9(9-x)[/tex] is also a right answer, because it's equivalent to the first answer.
[tex]x(9-x)+9(9-x)=9x-x^{2} +81-9x=81-x^{2} =9^{2} -x^{2}[/tex]
Find the common ration for this geometric sequence 243,27,3,1/2,1/27
Answers
Answer:1/9
Step-by-step explanation:
243,27,3,1/2,1/27,...
Common ratio=2nd term ➗ 1st term
common ratio=27 ➗ 243
Common ratio=1/9
Which of the following are mathematical sentences?
Check all that apply.
Answers
Answer:
A, B, C, F
Step-by-step explanation:
they need to include an = sign
Answer:
Now you know the answer from my explanation.
Step-by-step explanation:
The one which is not a mathematical statement is that which does not evaluate to anything.. Doesn't have the equal to sign
True or False: The height is always twice the length of tue base edge of any triangular pyramid.
Answers
Answer:
true
Step-by-step explanation:
3n3n3p0mdo98rueu33
Below is a regular octadecagon (18 sided polygon).
What is the SUM of its interior angles.
What is the measure of ONE of its interior angles?
Answers
Answer:
2880 degrees; 160 degrees
Step-by-step explanation:
(18-2)*180=16*180=2880
2880/18=160
Therefore, 2880 degrees; 160 degrees
I hope this helped and have a good rest of your day!
PLZ HELP WILL RATE BRAINLIEST
Answers
Answer:
877.5 cm²
Step-by-step explanation:
Altogether, the area is that of 12 triangles of base 13 cm and height 11.25 cm. The total area will be ...
star area = 12×triangle area = 12×(1/2)(13 cm)(11.25 cm)
star area = 877.5 cm²
Please help me with my work for math
Answers
Answer:
AAA
Stp-by-step explanation:
17. The local hiking club went on a five day huling trip to Denali Nations
Park. The group departed with 60 pounds and returned with no food,
What is the slope of a graph for the amount of food over time (in
pounds per day?
Answers
Answer: The slope is 12 pounds per day.
Step-by-step explanation:
They consumed 60 pounds on food in 5 days.
The slope or rate at which they consummed the in a day can be calculated as the amount of pounds consumed in the lapse of time, this is:
slope = 60pounds/5days = 12 pounds per day.
g Which one of the following best describes an advantage of using a Poisson distribution (Model 1) over the distribution in Model 2 to model X? It allows us to model the data continuously. It allows individuals to have an arbitrarily large number of siblings. It reduces the amount of unknowns needed for modeling.
Answers
Answer:
It reduces the amount of unknowns needed for modeling.
Step-by-step explanation:
Let's first look at the characteristics of poisson distribution.
The Poisson distribution has the following characteristics:
1. It is a discrete distribution.
2. The occurrences in each interval can range from zero to infinity.
3. Each occurrence is very independent of the other occurrences.
4. It helps describes discrete occurrences over an interval.
5. It reduces the amount of constant and unknown needed for modeling an equation.
What is the circumference of a circle when it has a radius of 3cm
Answers
Answer:
18.85
Step-by-step explanation:
Circumference = 2πr
=2*3.142*3
=18.85
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answers
Answer:
f is the correct option pls mark me as the brainliset
Answer:
D, E, F
Step-by-step explanation:
because you need to do this when you are gathering resources
