Which fractions are equivalent to 1/8+5/8? Check all that apply.
Answer:
3/4 and 12/16
Step-by-step explanation:
[tex]\frac{1}{8} +\frac{5}{8} =\frac{1+5}{8} =\frac{6}{8} =\frac{3}{4} \\\\\frac{12}{16} =\frac{3}{4}[/tex]
An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonetheless fails the test) is 0.15. Let x be the number of trustworthy FBI agents tested until someone fails the test. What is the probability that the first false-positive will occur when the third person is tested
Answer:
[tex]Probability = 0.108375[/tex]
Step-by-step explanation:
Given
Let the probability of false positive be represented with p
[tex]p = 0.15[/tex]
Required
Determine the probability the first occurrence of p was at the third person
We have that:
[tex]p = 0.15[/tex]
The probability that a trustworthy person do not fail the test (q) is:
[tex]q = 1 - p[/tex]
[tex]q = 1 - 0.15[/tex]
[tex]q = 0.85[/tex]
The required probability implies that:
The first person did not fail: i.e. 0.85
The second person did not fail: i.e. 0.85
The third person failed: i.e. 0.15
This is then calculated as:
[tex]Probability = 0.85 * 0.85 * 0.15[/tex]
[tex]Probability = 0.108375[/tex]
Hence, the probability that the first false positive occurred at the third person is 0.108375
Given: FG is an median. What can you conclude?
Answer:
The last option line DG is congruent to line GE
Step-by-step explanation:
Median: a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side
So basically G is the midpoint of DE because FG is the median.
The last option, we can conclude that line DG is congruent to line GE
What is median?Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.
Median is a line segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.
We are given that FG is an median.
Thus, basically G becomes the midpoint of DE because FG is the median.
So, DG = GE
Hence,
The last option, we can conclude that line DG is congruent to line GE
Learn more about median;
https://brainly.com/question/17060266
#SPJ2
What is a new denominator
If b= 3, then b-2 is equivalent to
Answer:
1
Step-by-step explanation:
son
Use the substitution method.
b-2
3-2
= 1
Answer :
1
What is the slope of the line on this graph
Answer:
In math, slope is used to describe the steepness and direction of lines
Step-by-step explanation:
-2/7x - 11 + 4/7x - 7
Answer:
2/7x - 18
Step-by-step explanation:
-2/7x - 11 + 4/7x - 7
rearrange the expression so it's easier to add, optional
-2/7x + 4/7x - 11 - 7
2/7x - 18
Apollo Spas services 253 hot tubs. If each hot tub needs 115 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?
Answer:
29.095
Step-by-step explanation:
115 x 253 = 29095 mL
convert mL to Liters
Just do 29095 divided by 1000
Ted likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 959595 minutes. He wants to know how many kilometers (k)(k)left parenthesis, k, right parenthesis he will go if he runs at the same pace for 285285285 minutes.
Answer:
im looking for the anwser
Step-by-step explanation:
Simplify:
7r + 10 - 2(2r + 3s - 5t) + 2(4s - t) + 5 *
Answer:
3r+2s+8t+15
Step-by-step explanation:
After simplifying 7r+10-2(2r+3s-5t)+2(4s-t)+ 5, you will have 3r+2s+8t+15.
What is the slope of a line going through these 2 points? Point 1: (12,16) Point 2: (34 , 49)
Answer:
1.5
Step-by-step explanation:
Please help I have ten minutes
Answer:
$10 per hour
Step-by-step explanation:
As you can see, at (2, 20) the employee earns 20 dollars for 2 hours and at (4, 40) we can see the employee earn $40 per 4 hours. So we can find the slope of these two points to get the answer.
Slope formula y1-y2/x1-x2
so plug it in
40-20/4-2 and we get 20/2 =10
raj obtained fifty-one per cent score in an exam with 459 marks if ria gets 702 marks in same exam find the percentage obtained by ria
Answer:
The percentage (score) obtained by Ria is 78%
Step-by-step explanation:
The given percentage Raj obtained in the exam = 51%
The marks Raj obtained = 459 marks
The marks Ria obtained in the same exam = 702
The percentage obtained by Ria is given as follows
Let x represent the total score of the exam, we have;
51% of x = 459
Therefore;
51/100 × x = 459
x = 459 × 100/51 = 900
The total score in the exam = 900
The percentage score obtained by Ria is therefore given as follows;
Ria's percentage score = (Ria's raw score/(The total score of the exam)) × 100 = (702/900) × 100 = 78%
Therefore, the percentage (score) obtained by Ria = 78%.
The price of a shirt is usually £64 During a sale the prices in the shop are reduced by 3/4 How much is the shirt in the sale ?
Answer:
£16
Step-by-step explanation:
Step one:
given data
The price of a shirt is £64
When the price is reduced by 3/4, i.e 0.75
the reduced amount can be calculated as
0.75*64
=£48
Step two:
The new price or the cost of the shirt when the price is reduced is
= 64-48= £16
Solve the system:
x=49-5y
x=16-2y
Write down the solution.
urgent answer please!!! :)
Answer:
a and b are relative on maxima interval x =-4,x=0
Use the linear equations to answer the question.
y=2/3x-3
y=-3/2x+2
Which statement about the lines is true?
Answer:
c. the lines are perpendicular.
Step-by-step explanation:
2×2 write the correct answer below
Answer:
4 :-)))))))) have a wonderful day!
PLEASE HELP ME WITH THIS. 5 POINTS
Answer:
I think b is not proportional
Determine if each function is linear or non linear.
y = x/2 - 19,
3y = x^2,
13y = 1/3x + 5,
y = x + 25/5
y^3 = x
Answer:1)Linear 2)Non linear 3)Linear 4)Linear 5)Non linear
Step-by-step explanation:
If x is alone with no degree, it’s linear.
The point R(-3,a,-1) is the midpoint of the line segment jointing the points P(1,2,b)
and Q(c,-7,4)
Find the values of:
a=
b=
C=
Answer:
The values are:
a = -5/2
b = -6
c = -7
Step-by-step explanation:
Given
P = (x₁, y₁, z₁) = (1, 2, b)
Q = (x₂, y₂, z₂) = (c, -7, 4)
As the point R(-3, a, -1) is the midpoint of the line segment jointing the points P(1,2,b) and Q(c,-7,4), so
m = R = (x, y, z) = (-3, a, -1)
Using the mid-point formula
[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]
given
(x₁, y₁, z₁) = (1, 2, b) = P
(x₂, y₂, z₂) = (c, -7, 4) = Q
m = (x, y, z) = (-3, a, -1) = R
substituting the values in the mid-point formula
[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]
[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]
as (x, y, z) = (-3, a, -1), so
[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]
so solving 'c'
-3 = (1+c) / (2)
-3 × 2 = 1+c
1+c = -6
c = -6 - 1
c = -7
solving 'a'
a = (2+(-7)) / 2
2a = 2-7
2a = -5
a = -5/2
solving b
-1 = (b+4) / 2
-2 = b+4
b+4 = -2
b = -2-4
b = -6
Thus, the values are:
a = -5/2
b = -6
c = -7
Verification:
[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]
[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]
put a = -5/2, b = -6, c = -7
[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(\frac{1+\left(-7\right)}{2},\:-\frac{5}{2},\:\frac{\left(-6\right)+4}{2}\right)[/tex]
[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(\frac{-6}{2},\:-\frac{5}{2},\:\frac{-2}{2}\right)[/tex]
[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(-3,\:-\frac{5}{2},\:-1\right)[/tex]
Parallel lines have the same slope
True.
Any and all lines that are parallel share the same slope.
what is 0.94 (m) in (cm)
Answer:
the answer is 94cm
Step-by-step explanation:
1m=100cm
0.94m= 0.94×100
= 94cm
Hope it will help you.......Answer: Convert 0.94 Meters to Centimeter (m to cm) with our conversion calculator and conversion tables. To convert 0.94 m to cm use direct conversion formula below.
0.94 m = 94 cm.
Hope this helps....... Stay safe and have a Merry Christmas!!!!!!! :D
I just want to say that my account got deleted yesterday and i would love if i could get at least 18-25 friends by Christmas.
What is the greatest common factor of
ax^2+ax+a
Answer:
The GCF is a.
General Formulas and Concepts:
Algebra I
FactoringStep-by-step explanation:
Step 1: Define
ax² + ax + a
Step 2: Condense
Factor GCF: a(x² + x + 1)g E. (i). An oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil. What is the probability that the first strike comes on the third well drilled
Answer:
0.128
Step-by-step explanation:
Given that :
Probability of striking oil = p = 20% = 0.2
Striking occurs on the 3rd well drilled : x = 3
Hence ;
P(x = 3) =?
Using a geometric probability function :
p(x = x) = (1 - p)^(x - 1) * p
P(x = 3) = (1 - 0.2)^(3 - 1) * (0.2)
P(x = 3) = 0.8^2 * 0.2
P(x = 3) = 0.64 * 0.2
P(x = 3) = 0.128
I dont know how to dis um can yalls help me yalls are so nice for helping me thx
Answer:
5 gallons
Step-by-step explanation:
The length of a rectangle is 5cm more than width. Find expression fo the perimeter of the rectangle in terms of the w
Answer:
Perimeter [tex]=4w+10[/tex]
Step-by-step explanation:
Let [tex]w[/tex] = width of the rectangle.
From the information "length of a rectangle is 5cm more than width", we can write:
Length = [tex]w+5[/tex]
- - - -
Perimeter [tex]= 2l+2w[/tex] (formula for the perimeter of a rectangle)
[tex]=2(w+5)+2w[/tex]
[tex]=2w+10 + 2w[/tex]
[tex]=4w+10[/tex]
∴ The expression of the perimeter of the rectangle in terms of [tex]w[/tex] is [tex]4w+10[/tex].
Hope this helps :)
Parallelogram P was dilated to form parallelogram P prime.
Parallelogram P has side lengths of 10 and x + 3. Parallelogram P prime has side lengths of 20 and 8.
What is the value of x? (Figures not drawn to scale.)
Answer:
x = 1 is the correct answer of this question plz mark my answer as brainlist plzzzz vote me also .....
Answer:
1 is the answer
Step-by-step explanation:
got a 100% on my test
Please help me fast!!!!. Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?
Include A.M. or P.M. in your answer.
Answer:
1:35 pm
Step-by-step explanation:
Given that:
Chicago tour schedule :
Willis tower = 1 hour 10 minutes
Navy piers = 3 hours 10 minutes
Shopping = 1 hour 15 minutes
(1 hour 10 min) + (3 hour 10 minutes) + (1 hour 15 minutes)
Total touring time in Chicago = 4 hours 35 minutes
Dinner time is slated at 5:10 pm
Latest time to start tour :
5:10 pm - 4 hours 35 minutes = 1 :35 pm
PLEASEE HELP ME!!!!!!!!!!!
Answer:
26%
Step-by-step explanation:
13/50=0.26
0.26x100=26%