Answer: x=6
Step-by-step explanation:
−
5
(
−
2
+
1
0
)
=
1
0
−
5
(
−
2
x
+
10
)
=
10
−5(−2x+10)=10
Solve
1
Distribute
−
5
(
−
2
+
1
0
)
=
1
0
−
5
(
−
2
x
+
10
)
=
10
−5(−2x+10)=10
1
0
−
5
0
=
1
0
10
x
−
50
=
10
10x−50=10
2
Add
5
0
50
50
to both sides of the equation
3
Simplify
Measure of angle R =49 find the measure of angle O
Answer:
angle O is equal to 41°
I hope it's helps you
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
Which property is being shown in this equation?
4(2n - 5) = 8n - 20 *
Commutative
Associative
Identity
Distributive
Transitive
Answer:Distributive
Step-by-step explanation:
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%
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 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
6 (n-3) - 2n = 10
Pleasee help
Answer: n = 7
(this website may help: https://www.symbolab.com/)
Step-by-step explanation:
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.
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
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.
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!
-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]
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
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
HELP ME PLSS IM GIVING BRAINLIEST!!!!
Answer:
The height in feet of the basketball hoop would be 10 feet.
Step-by-step explanation:
if 1 inch = 5 feet
then 2 inches = 10 feet
Hope this helped :)
Answer:
10 feet I think
Step-by-step explanation:
If 1 Inch is = to 5 feet then 2 inches must be = to 10 inches because 2 x 5 = 10
Find the perimeter of the figure. Round your answer to the nearest hundredth.
12 m
15 m
12 m
21 m
Answer:
68.56 m
Step-by-step explanation:
circumference of semi-circle: 15π/2 = 23.56
23.56 + 12 + 12 + 21 = 68.56
A line has a slope of -3 and a y intercept of 5. Write the equation of the line jn slope intercept form and explain how you use the slope and y intercept to graph the equation
Answer:
Slope-intercept form y = mx + b
m = slope (-3)
b = y-intercept (5)
hence, the slope-intercept form is:
y = -3x + 5
This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.
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:
What is the perimeter of the triangle?
Answer:
this triangle is a acute angel so it 3
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.
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:
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
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]
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:
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!! :)
A triangle, ABC, has angle measures of 60, 60, and 60 and three congruent (equal) sides. How would this triangle be classified?
Equilateral acute
Equilateral obtuse
Scalene acute
Isosceles acute
Answer:
equilateral acute. Because it is less than 90 and all equal
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....Use the distributive property to create an equivalent expression to 6(3j + 4 +j)
Answer:
24j + 24
Step-by-step explanation:
6(3j + 4 +j)
6(4j + 4)
24j + 24
4. A construction worker needs to put
rectangular window in the side of a
building. He knows from measurin
that the top and bottom of the
window have a width of 6 feet and sides have a length of 8 feet. He also measured one diagonal to be 10 feet
What is the length of the other
diagonal?
Answer:
Step-by-step explanation:
If the window is truly a rectangle then both diagonals are equal. That's one of the properties of a rectangle.
Answer: 10 feet