Answer:
M = number of markers in a pack
8M = 54 + 10
solution:
8M = 64
M = 8 markers per pack
Add one set of parentheses to the expression 2x² + 4 - 5 so that the value of the expression is 75 when x = 6.
Answer:
2(x^2 +4)-5
Step-by-step explanation:
6^2= 36
36+4= 40
40x2=80
80-5=75
6(6^2 + 4) -5
What is the perimeter of the triangle?
Answer:
this triangle is a acute angel so it 3
8 x 10 to the 5th power is how many time as great as 8 x 10 to the - 1 power
Answer:
B
Step-by-step explanation:
Someone bless my day with answering this math question I’m stuck on it (photo)
Answer:
The answer is B.
Step-by-step explanation:
Approximate, in feet, the circumference of a circle with radius = 6 ft. (Round your answer to one decimal place.)
Answer:
37.7
Step-by-step explanation:
Circumference of circle =2pir
I took pi=3.14
C=2xpix6=37.7square ft
please help
me on this math problem
Answer:
12 feet
Step-by-step explanation:
[tex] \sin(41.5) = \frac{8}{x} [/tex]
[tex]x \sin(41.5) = 8[/tex]
[tex]x = \frac{8}{ \sin(41.5) } [/tex]
[tex]x = 12 [/tex]
(rounded to the nearest whole foot)
In AABC, AB, AC, and BC are called
A sides
B. interior angles
C. vertices
D. exterior angles
Answer:
sides.
Step-by-step explanation:
How many times greater is the value of the 7 in 171,889 than the value of the 7 in 117,889. Please help me!
Can anyone help me? I am stuck on this question! it would mean the world if u helped me! <3
Answer:
I think the answer is 12
Step-by-step explanation:
Create a Pythagorean theorem equation for the diagram then solve the unknown sides. If necessary, rounded to decimal places.
The value of the unknown side using the Pythagorean theorem to two decimal places is 5.39.
What is the value of the unkown side?
The Pythagorean theorem would be used to solve for the unknown side.
The Pythagoras theorem: a² + b² = c²
where:
a = lengthb = basec = hypotenuse√5² + 2²
√25 + 4
√29 = 5.39
To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675
6 (n-3) - 2n = 10
Pleasee help
Answer: n = 7
(this website may help: https://www.symbolab.com/)
Step-by-step explanation:
Jess wants 180 cupcakes for her party. Jess has already made 60 berry cupcakes, and 48
cocoa cupcakes. How many more cupcakes does Jess need to make?
Answer:
Hi! The answer to your question is 72 Cupcakes
Step-by-step explanation:
[tex]60+48 = 108[/tex]
[tex]180 - 108 = 72[/tex]
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Find the magnitude and direction of the vector.
<-10, 13>
Use the formula for magnitude of vector, which is [tex]m = \sqrt{a^2 + b^2}[/tex].
[tex]m = \sqrt{(-10)^2 + 13^2} = 16.401[/tex] units
In terms of direction, you can see that it is in the second quadrant because of a negative x-value and positive y-value. If you are looking for the angle of the vector, you need to use the formula,Ф = [tex]arctan(y/x)[/tex]. But because the x, value is negative, the rule is that we add π to this value.
Plug in the values:
arctan(13/-10) + π = 127.56° or 2.226 radians
Factorise the following:
a² - 144
Answer:
[tex]( a+ 12)(a - 12)[/tex]
Step-by-step explanation:
[tex] {a}^{2} - 144[/tex]
[tex] {a}^{2} - {12}^{2} [/tex]
Since both terms are perfect squares, factor using the difference of squares formula,
[tex] {a}^{2} - {b}^{2} = ( a+b )(a - b)[/tex]
where a=a and b=12.
[tex](a+ 12)(a - 12)[/tex]
Hope it is helpful....PLS HELP URGENT
In triangle PQR.
Sis the point on PR such that angle RSQ = 90°
RQ = 14 cm
RS -- 10 cm
SP - 5 cm
Work out the length of PQ.
PQ=11
PS^2+SR^2=QR^2
PS^2+PS^2=PQ^2
9514 1404 393
Answer:
11 cm
Step-by-step explanation:
The law of cosines can be helpful here. In order to find PQ, we must know the cosine of the angle R. Fortunately, SOH CAH TOA reminds us it is ...
Cos = Adjacent/Hypotenuse
cos(R) = 10/14 = 5/7
__
The law of cosines gives us the relation ...
PQ^2 = PR^2 +QR^2 -2·PR·QR·cos(R)
PQ^2 = 15^2 +14^2 -2(15)(14)(5/7) = 121
PQ = √121 = 11
The length of PQ is 11 cm.
_____
Alternate solution
This can be solved using the Pythagorean theorem twice.
QS^2 = QR^2 -SR^2 = 14^2 -10^2 = 96
PQ^2 = PS^2 +QS^2 = 5^2 +96 = 121
PQ = √121 = 11
Measure of angle R =49 find the measure of angle O
Answer:
angle O is equal to 41°
I hope it's helps you
f(x)=3x2+1
What is the value of y when x is equal to 0?
Hint: f(0)=3(0)2+1
Please help if you can !!!!!!!!
Answer:
D 51.3%
Step-by-step explanation:
Number of students who bought popcorn: 80
Total number of students: 156
percent = 80/156 * 100% = 51.3%
A large insurance company maintains a central computing system that contains a variety of information about customer accounts. Insurance agents in a six-state area use telephone lines to access the customer information database. Currently, the company's central computer system allows three users to access the central computer simultaneously. Agents who attempt to use the system when it is full are denied access; no waiting is allowed. Management realizes that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents. Access requests follow a Poisson probability distribution, with a mean of 40 calls per hour. The service rate per line is 18 calls per hour.
Reqiured:
a. What is the probability that 0, 1, 2, and 3 access lines will be in use?
b. What is the probability that an agent will be denied access to the system?
c. What is the average number of acess lines in use?
Answer:
Part A:
[tex]P_0=0.13298\\P_1=0.29547\\P_2=0.328320\\P_3=0.24321[/tex]
Part B:
[tex]P_3=0.24321[/tex]
Part C:
[tex]Average\ Number:=1.6817[/tex]
Step-by-step explanation:
Given data:
Mean =μ= 40 calls
Service Rate=λ=18 calls
Solution:
Formula:
[tex]P_i=\frac{\frac {(\frac{\mu}{\lambda}) ^{i} }{i!} }{\sum \frac {(\frac{\mu}{\lambda}) ^{i} }{i!}}[/tex]
Where i is access lines
Part A:
Probability of 0 access line, i=0:
[tex]P_0=\frac{\frac {(\frac{40}{18}) ^{0} }{0!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]
[tex]P_0=\frac{1}{1+2.222+2.4691+1.8290}[/tex]
[tex]P_0=0.13298[/tex]
Probability of 1 access line, i=1:
[tex]P_1=\frac{\frac {(\frac{40}{18}) ^{1} }{1!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]
[tex]P_1=\frac{2.222}{1+2.222+2.4691+1.8290}\\P_1=0.29547[/tex]
Probability of 2 access line, i=2:
[tex]P_2=\frac{\frac {(\frac{40}{18}) ^{2} }{2!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]
[tex]P_1=\frac{2.4691}{1+2.222+2.4691+1.8290}\\P_2=0.328320[/tex]
Probability of 3 access line, i=3:
[tex]P_3=\frac{\frac {(\frac{40}{18}) ^{3} }{3!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}\\P_3=\frac{1.8290}{1+2.222+2.4691+1.8290}\\P_3=0.24321[/tex]
Part 2:
Only 3 users can access simultaneously, denied Probability is P_3(4th access line)
[tex]P_3=0.24321[/tex]
Part 3:
Average Number:
[tex]Average\ Number:\frac{\mu}{\lambda} (1-P_3)\\Average\ Number:\frac{40}{18} (1-0.24321)\\\\Average\ Number:=1.6817[/tex]
-5-4-3
3
The function graphed above is:
Increasing on the interval(s)
Decreasing on the interval(s)
Answer:
[tex]Interval = (-2,1.5)[/tex]
[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]
Step-by-step explanation:
Given
See attachment for graph
Solving (a): Increasing interval
To do this, we simply identify the interval at which the value of the graph increases.
The value has an increased interval between -2 and 1.5 (of the x-axis).
Hence, the increasing interval is:
[tex]Interval = (-2,1.5)[/tex]
Solving (b): Decreasing interval
To do this, we simply identify the interval at which the value of the graph decreases.
The value has decreased intervals between - infinity and -2 and also 1.5 and infinity (of the x-axis).
Hence, the decreasing interval is:
[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]
Kelly sells vitamins. She made this chart to calculate her total earnings for the month of April.
Base Salary $2,500
Percent of Sales Commission 4%
What's Kelly's total earnings if she sold $6,000 worth of vitamins for April?
Answer:
2740
Step-by-step explanation:
earnings from commission is 240 (6000x.04). Her base salary 0f 2500 plus commission of 240 = 2740
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 35 arrests last month, 27 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.
A button hyperlink to the SALT program that reads: Use SALT.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p = 0.7; H1: p ≠ 0.7
H0: p = 0 .7; H1: p < 0.7
H0: p < 0 .7; H1: p = 0.7
H0: p = 0.7; H1: p > 0.7
H0: p ≠ 0.7; H1: p = 0.7
(b) What sampling distribution will you use?
The Student's t, since np < 5 and nq < 5.
The standard normal, since np < 5 and nq < 5.
The standard normal, since np > 5 and nq > 5.
The Student's t, since np > 5 and nq > 5.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
WebAssign Plot WebAssign Plot
WebAssign Plot WebAssign Plot
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?
At the = 0.10 level, we reject the null hypothesis and conclude the data are statistically significant.
At the = 0.10 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the = 0.10 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the = 0.10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
There is sufficient evidence at the 0.10 level to conclude that the true proportion of arrests of males aged 15 to 34 in Rock Springs differs from 70%.
There is insufficient evidence at the 0.10 level to conclude that the true proportion of arrests of males aged 15 to 34 in Rock Springs differs from 70%.
Answer:
a) Level of significance [tex]\alpha = 0.01[/tex]
b) Standard normal
[tex]p = 0.75[/tex]
[tex]Z = 0.62[/tex]
c)
[tex]P = 0.5352[/tex]
d)
[tex]P > \alpha[/tex]
e) We fail to reject null hypothesis
Step-by-step explanation:
Let us say
The null hypothesis H_0 is p= 0.70 which means that Probability of arresting male of age ranging between 15 to 34 years is 0.7
Alternate hypothesis H_1 is p not equal to 0.7 which means that Probability of arresting male of age ranging between 15 to 34 years is not equal to 0.7
a) For 1% level of significance [tex]\alpha = 0.01[/tex]
b) Standard normal
[tex]n_p > 5\\n_q >5[/tex]
[tex]p = \frac{24}{32} = 0.75[/tex]
[tex]Z = \frac{(0.75-0.70)}{\sqrt{\frac{(0.7*0.3)}{32} } } = 0.62[/tex]
c)
[tex]P = 2 * 0.2676 = 0.5352[/tex]
d)
[tex]P > \alpha[/tex]
e) We fail to reject null hypothesis
Hence, there is not enough data to prove that at 1% level of significance the probability of number of male arrested between age 15-34 is 0.70
plzz help i will give brainliest plzzzz
Answer:
B
Step-by-step explanation:
B gives you 8/12, which can be simplified down to 2/3.
The graph shows the function?
Answer:
The graph shows the function
✔ y = sin(x) – 6
.
The function rule y = cos(x) + 2 describes graph
✔ b shown here.
How much will you pay for an item that is $28.55 on sale for 60% off?
$17.13
$11.42
$17.00
$11.50
Answer: That would be $11.42
Step-by-step explanation: Hope this helped!! :)
54,872 in expanded form
Answer:
54,000+800+70+2
Step-by-step explanation:
Answer:
Here is an answer
54,000+800+70+2
Help me this question is very confusing no wrong answers please
Answer:
10
Step-by-step explanation:
maximum= most walked
then minimum would be least amount walked
Answer:
Answer = 10
Step-by-step explanation:
Mark me as Brainliest
What is the product of (2x+1) and (2x-1)? O 4x2 0 4x2 - 4x-1 0 4x2 - 2x + 1 0 4x2.1
Answer:
Step-by-step explanation:
hello :
use identity : a²-b²=(a-b)(a+b)
(2x+1) (2x-1)= (2x)²-1 =4x²-1
Find the volume of the sphere on the right. Use 3.14 for
The volume is
(Simplify your answer. Type a whole number or a decimal. Round to the nearest
hundredth needed)
64 in
What is the answer ?
If xy + y² = 6, then the value of dy/dx at x= -1 is
Hi there!
[tex]\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}[/tex]
[tex]\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}[/tex]
We can calculate dy/dx using implicit differentiation:
xy + y² = 6
Differentiate both sides. Remember to use the Product Rule for the "xy" term:
(1)y + x(dy/dx) + 2y(dy/dx) = 0
Move y to the opposite side:
x(dy/dx) + 2y(dy/dx) = -y
Factor out dy/dx:
dy/dx(x + 2y) = -y
Divide both sides by x + 2y:
dy/dx = -y/x + 2y
We need both x and y to find dy/dx, so plug in the given value of x into the original equation:
-1(y) + y² = 6
-y + y² = 6
y² - y - 6 = 0
(y - 3)(y + 2) = 0
Thus, y = -2 and 3.
We can calculate dy/dx at each point:
At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.
At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.