Answer:
Cost of 1 goggles = $20
Cost of 1 mask = 15
Step-by-step explanation:
Given:
Cost of 2 goggles and 1 mask = $55
Cost of 1 goggles and 2 mask = $50
Find:
Cost of each goggles and mask
Computation:
Assume;
Cost of 1 goggles = a
Cost of 1 mask = b
So,
2a + b = 55.....EQ1
a + 2b = 50.......EQ2
EQ1 x 2
4a + 2b = 110 ......EQ3
EQ3 - EQ2
3a = 60
a = 20
Cost of 1 goggles = $20
a + 2a = 50
20 + 2b = 50
2b = 30
b = 15
Cost of 1 mask = 15
.
Alex wants to test the reliability of “lie detector tests,” or polygraph tests. He performs a polygraph test on a random sample of 12 individuals. If there is more than a 50% chance that the tests result in no false positives (that is, the test does not result in a true statement being recorded as a lie), Alex will conclude that the tests are reliable. If the probability of a lie detector test resulting in a false positive is 5.5%, what will Alex conclude? Use Excel to find the probability, rounding to three decimal places.
The correct statement is test is reliable and authentic as the probability of no false positives is more than 0.5
Given that
[tex]H_o:P= 0.50\\\\H_1:P>0.50[/tex]
Now following calculations to be done to reach the conclusion:
There is no false positive as
= 100 - 5.5
= 94.5%
[tex]\hat P =0.945, n = 12[/tex]
Now
[tex]z = \frac{\hat P - P}{\sqrt\frac{P(1-P)}{n} }\\\\=\frac{0.945-0.5}{\sqrt\frac{0.5\times0.5}{12} } \\\\= 3.08[/tex]
So
P value = P(z >3.08) = 0.0010
Therefore we can conclude that test is reliable and authentic as the probability of no false positives is more than 0.5
Learn more about the polygraph test here:
brainly.com/question/3790493
The largest U.S. standard postage stamp ever issued has a width of about
3
1 inch, which was of the height of the stamp. Find the height of the stamp.
4.
Answer:
SOLUTION: " The largest US standard postage stamp ever issued has a width of about 1 inch, which was 3/4 of the height of the stamp. Write and solve an equation to find the height of the st
-1/2(6x+10)=13 please help I’m a lil confused on it
Answer:
x=-6
Step-by-step explanation:
-1/2(6x+10)=13
Distribute
-3x -5 = 13
Add 5 to each side
-3x-5+5 = 13+5
-3x = 18
Divide by -3
-3x/-3 = 18/-3
x=-6
PLS HELP ME RN I AM FAILING AND NEED HELP ITS PYTHAGOREAN THEOREM
Answer:
9.89949 or 9.9
Step-by-step explanation:
7^2 + 7^2 = c^2
49+49=98
square root of 98 = 9.89949
PLS HURRY!! PLS
solve:-10k2+7
Answer:
Degree: 2
Polynomial type: Quadratic
Step-by-step explanation:
One is asked to identify the degree and type of polynomial when given the following expression:
[tex]-10k^2+7[/tex]
The degree of a polynomial refers to the exponent to which it is raised. In essence, the largest exponent in the expression. In this case, the largest exponent in this polynomial is (2). An expression to the second degree is referred to as a quadratic expression.
Can someone help me out
Answer:
40.2
Step-by-step explanation:
Circumference = 2πr
Plug in:
2π6.4
6.4 × 2 = 12.8
π = 3.14
12.8 × 3.14 = 40.1920.... = 40.2
The answer is 40.2
Hope this helped.
Answer:
Your answer should be 20.1
Step-by-step explanation:
6.4 x 3.14= 20.096
Rounded to the nearest tenth is 20.1
hope this helps c:
help me with this question: Find y
Answer:
y = 4
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 45
Hypothenus = 4√2
Adjacent = y =?
The value of y can be obtained by using cosine ratio as illustrated below:
Cos θ = Adjacent / Hypothenus
Cos 45 = y / 4√2
Cross multiply
y = 4√2 × Cos 45
Recall
Cos 45 = 1 / √2
Therefore,
y = 4√2 × 1/√2
y = 4
if tge angle at the center is 62° and the radius is 12 cm.. find the length of arc
Answer:
Step-by-step explanation:
r = 12 cm
Theta = 62
Length of arc = [tex]\frac{theta}{360}*(2\pi r)[/tex]
[tex]=\frac{62}{360}*2*3.14*12[/tex]
= 12.98 cm
HELP ASAP!!!
Find the length of AB.
6 in
30°
В
AB = [? ]in
Answer:
30/360 ×π r^2 = AB
AB = 30 /360 × π ×6^2
AB = 9.42 IN
Is the following number rational or irrational?
0.7
Choose 1 answer:
Rational
Irrational
Pamela is 14 years younger than Jiri. The sum of their ages is 52. What is Jiri's age?
Answer:
33
Step-by-step explanation:
Pamela-x
Jiri-x+14
x+x+14=52
2x=52-14
2x=38
x=19-Pamela
19+14=33-Jiri
check: 19+33=52
Answer: Jiri is 33 years old, and Pam is 19.
Step-by-step explanation:
Let's put Jiri as x, and Pam as y. We know that Pam's and Jiri's age =52. Pam is 14 years younger than Jiri(x)
You can model the situation by two equations:
y=x-14
x+y=52
Substitute y into second equation
x+x-14=52
2x=66
x=33
Jiri is 33
and back to the first equation
y=33-14=19, Pamela's age.
Question No.b
Find the products or quotient in the exponential forms by using law of indices
The answer will be :- 3^9
Answer:
3*6 × 3*-3 × 3*6
3*(6-3+6)
3*9
solve for y.
y + 5.74 = 9.62
Answer:
3.88
Step-by-step explanation:
1. Subtract 5.74 from both sides of the equation
9.62-5.74=3.88
What is 4 1⁄2 cm in millimetres
Answer:
the answer is 205 millimeters
Answer:
205 millimeters.
Step-by-step explanation:
just is
in a survey of Swami student it was found that 60% of student studies in math and 40% study science if 40% students study both the subject and 10% did not any of the subject by drawing of exam find the ratio of the number of students who is the distance to the total number of students
Answer:
Step-by-step explanation:
150% = 150 ÷ 100 150% = 1.5
PLSS HELPP
I already know the answer just help me by plotting them in the graph.
Answer:
plotting the (x,y) coordinates in graph
Tina's book bag contains 12 fiction books and 4 non-fiction books. What percentage of the
books is non-fiction?
Help! Homework due at 6:30 help ASAP! Thank you!
25%
Step-by-step explanation:
# of non-fiction books ÷ # of total books = percentage of non-fiction books
4 non-fiction books + 12 fiction books = 16 total books
4 non-fiction books divided by 16 total books = percentage of non-fiction books
4÷16= 0.25
0.25 x 100 = 25%
Answer: 0.48 percent
Step-by-step explanation:
Fill in the missing statements and reasons in the proof
Answer:
1. Given
2. Vertical angle theorem
3. AB≅DB, EB≅CB, m<ABC≅m<DBE
4. △ABC ≅ △DBE
Hope this helps :D
Combine and simplify these radicals. 160 40
I AM TIMED!!!
Answer:
200
hope it help
Answer:
160
Step-by-step explanation:
got it right
x^2-4x^2y^2+y^2+2*x*y
Answer:
(x + y - 2xy)*(x + y + 2xy)
Step-by-step explanation:
x^2-4x^2y^2+y^2+2*x*y
=x^2 + 2xy + y^2 - (2xy)^2
=(x + y)^2 - (2xy)^2
=(x + y - 2xy)*(x + y + 2xy)
I NEEDDDD HELPPPPP ITS URGENTTTTTT!!!!!
Answer:
m<XUY = 40
Step-by-step explanation:
The central angles theorem states that in a circle, the measure of an angle with its vertex on the center of the circle is equal to the angle measure of the arc surrounding it. As a given fact, the sum of degree measures in a circle is (360) degrees. Thus, one can form the following equation:
(mZUV) + (mVUW) +(mWUX) +(mXUY) + (mYUZ) = 360
Substitute,
(-15x) + (30) + (90) + (x + 47) + (95) = 360
Simplify,
(-15x) + (30) + (90) + (x + 47) + (95) = 360
-14x + 262 = 360
Inverse operations,
-14x + 262 = 360
-14x = 98
x = -7
Substitute back into the equation for the measure of angle (<XUY)
m<XUY = x + 47
= -7 + 47
= 40
what represents the distance traveled and time spent traveling
Answer:
b) y
Step-by-step explanation:
joannes speed = 250/2.5 =100km/h
francois speed = 100-10 = 90km/h
after 5h, francois would have travelled 450
for all of the questions
with method
thankyou
Answer:
(i) 7/10
(ii) 3/10
(iii) 1/5
(iv) Rs 40,000
Step-by-step explanation:
The fraction of the salary spent on food = 1/2
The fraction of the salary spent on rented house fee = 1/5
(i) The fraction spent for both food and rental fee = (1/2) + (1/5) = (5 + 2)/10 = 7/10
(ii) The remainder (rest) of the salary = 1 - 7/10 = 3/10
The fraction of the remainder spent for children's education = 1/3
The fraction of the total salary spent for the children's education = (1/3) × (3/10) = 1/10
(iii) The remaining portion deposited in the bank = 1 - (1/10 + 7/10)) = 2/10 = 1/5
(iv) The amount equal to portion of 1/5 of his salary deposited in the bank is Rs 8000
Let x represent his whole salary, we have;
(1/5) × x = Rs 8,000
x = 5 × Rs 8,000 = Rs 40,000
His whole salary is Rs 40,000.
What is the common difference for this arithmetic sequence?
54, 50, 46, 42, 38, ...
Answer:
B. 4
Step-by-step explanation:
54 - 4 = 50
50 - 4 = 46
46 - 4 = 42
42 - 4 = 38
Answer: D. -4
Step-by-step explanation: took the quiz and got it right.
Please hurry I will mark you brainliest
Answer:
The sum of interior angle is 360°
2a( 3a + b)- 3a(2a+4b)
Answer:
-10ab
STEP BY STEP EXPLANATION
2a (3a + b) -3a(2a +4b)
6a² + 2ab - 6a²- 12ab
2ab-12ab 6a²-6a²
-10ab
Hope this will help you if not then sorry :)
Answer:
[tex]2a( 3a + b)- 3a(2a+4b)[/tex]
Expand by distributing terms.
[tex]6a ^{2} +2ab-3a(2a+4b)[/tex]
Expand by distributing terms.
[tex]6a 2+2ab-(6a^{2} +12ab)[/tex]
Remove parentheses
.[tex]6a ^{2} +2ab-6a^{2} -12ab[/tex]
Collect like terms.
[tex](6a^{2}-6a^{2})+(2ab-12ab)[/tex]
[tex]=-10ab[/tex]
OAmalOHopeO
Help please, I need with the question
Answer: [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
tangent of ∠PLM = [tex]\frac{opposite}{adjacent} =\frac{4}{3}[/tex]
Answer:
PLM=4/3
Step-by-step explanation:
Given m|n, find the value of x.
(6x+9)
(4x-19)
Answer:
Submit Answer
attempt i out of 2
I NEED HELP PLS
Answer:
x = 19
Step-by-step explanation:
The angles sum are complementary so they will sum to 180
(6x+9) +(4x-19) = 180
Combine like terms
10x - 10 = 180
Add 10 to each side
10x-10+10 =180+10
10x =190
Divide by 10
10x/10 = 190/10
x = 19
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
ax + b = c
Answer:
x = (b-c)/a
Step-by-step explanation:
ax + b = c
Subtract b from each side
ax+b-b = c-b
ax = b-c
Divide by a
ax/a = (b-c)/a
x = (b-c)/a
Answer:
x= (C-B)A
Step-by-step explanation:
¿Qué valor de m creará un sistema de líneas paralelas sin solución? y = mx - 6 8 x - 4 y = 12 Una cuadrícula de coordenadas con una línea etiquetada como 8 x menos 4 y es igual a 12. La línea pasa por un punto en (0, menos 3), (1, menos 1) y un punto en (1,5, 0). - 2 - 2
Answer:
Hello,
m=2
(0,-3) True
(1,-1) True
(1.5,0) True
(-2,-2) False
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y&=&mx-6\\8x-4y&=&12\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&mx-6\\y&=&2x-3\\\end{array}\right.\\\\\\The\ slope\ must\ be\ the\ same:\ m=2\\\\\\\begin{array}{c|c}&y=2x-3\\---&--------\\x&y\\0&2*0-3=-3\\1&2*1-3=-1\\1.5&2*1.5-3=0\\-2&2*(-2)-3=-7\\\end{array}[/tex]
