Answers
Answer:
The first option being 12/25
Related Questions
Chloe has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack. She chooses one pencil at random, puts it back, and then chooses another pencil .
The probability that Chloe chooses a blue pencil and then a red pencil is
The probability that Chloe chooses the yellow pencil and then a blue pencil is
No links please :)
Answers
Answer:
A) P(chooses a blue pencil and then a red pencil) = 5/27
B) P(chooses yellow then blue) = 5/81
Step-by-step explanation:
She has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack
Thus;
total number of pencils = 3 + 5 + 1 = 9 pencils
A) probability that she chooses a blue pencil and then a red pencil;
P(blue) = 5/9
Now she puts it bag after choosing which means the sum is back to 8 pencils.
Thus, if she now chooses a red pencil, then P(red) = 3/9 = 1/3
Thus;
P(chooses a blue pencil and then a red pencil) = 5/9 × 1/3
P(chooses a blue pencil and then a red pencil) = 5/27
B) probability that Chloe chooses the yellow pencil and then a blue pencil;
Similar to A above;
P(yellow) = 1/9
P(blue) = 5/9
P(chooses yellow then blue) = 1/9 × 5/9
P(chooses yellow then blue) = 5/81
Write an equation of the circle with center (3,-2) and radius 11.
Answers
let h= 3, k=-2
radius (r) = 11 ,then
(x-h)^2 + ( y-k)^2 = r^2
(x-3)^2 + ( y+2)^2 = 11^2
x^2 -6x +9 + y^2 +4y +4 = 121
x^2 + y^2 - 6x +4y -108 = 0 is the required eq
In clinical trials of a newly developed cold medicine, it was found that 45 out of 200 individuals that took the new medicine (Group 1) experienced an upset stomach as a side effect and 33 out of 150 individuals that took a placebo (Group 2) experienced an upset stomach. Test to see if the new drug produced a significantly higher proportion of individuals experiencing upset stomach. Use a 0.01 level of significance. Select the correct alternative hypothesis and decision.
a. H: Pi≠P2; Do not reject the null hypothesis.
b. H1: p1>P2; Do not reject the null hypothesis.
c. H: Pi > p2; Reject the null hypothesis.
d. H1: p. e.) Hi: p1≠P2; Reject the null hypothesis.
f. H: P1
Answers
Answer:
Step-by-step explanation:
Group 1 Information:
sample size : n₁ = 200
individuals with stomach as a side effect x₁ = 45
p₁ = 45 / 200 p₁ = 0,225 then q₁ = 1 - p₁ q₁ = 0,775
Group 2 Information:
sample size : n₂ = 150
individuals with stomach as a side effect x₂ = 33
p₂ = 33/150 p₂ = 0,22 q₂ = 0,78
Hypothesis Test:
Null Hypothesis: H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ > p₂
The alternative hypothesis indicates that the test is a one-tail test to the right
Significance level is α = 0,01 ( confidence interval 99%)
From z-table we get z(c) for that α z(c) = 2,32
To calculate z(s)
z(s) = ( p₁ - p₂ ) / EED
EED = √ ( p₁*q₁)/n₁ + ( p₂*q₂)/n₂
EED = √ ( 0,225*0,775)/200 + (0,22*0,78)/150
EED = √ 0,0008718 + 0,001144
EED = 0,045
z(s) = ( 0,225 - 0,22 ) / 0,045
z(s) = 0,005 / 0,045
z(s) = 0,11
Comparing z(s) and z(c)
z(s) < z(c) 0.11 < 2.32
Then z(s) is in the acceptance region. We accept H₀ . We don´t have evidence to support differences between the two groups.
Factor the following the expression,
-15m -25
Answers
Answer:
[tex]-5(3m+5)[/tex]
Step-by-step explanation:
Factor by grouping:
'-5' is a common factor.
Factoring out '-5'....
[tex]-15m-25\\\\\boxed{-5(3m+5)}[/tex]
Hope this helps.
Two sets of three consecutive integers have a property that the product of the larger two is
one less than 7 times the smallest. Set up and solve an equation that can be sue to find both
sets of integers. What are those sets of integers?
Answers
Answer:
{1, 2, 3}, {3, 4, 5}
Step-by-step explanation:
Write expressions for three consecutive integers: n, n + 1, n + 2.
Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).
(n + 1)(n + 2) = 7n - 1
Multiply (FOIL) the left side.
n^2 + 3n + 2 = 7n - 1
Subtract 7n and subtract 1 to make the right side 0.
n^2 - 4n + 3 = 0
Factor.
(n - 1)(n - 3) = 0
Set the two factors equal to 0
n - 1 = 0, n - 3 = 0
Solve for n.
n = 1, n = 3
One set of integers begins with 1, so it's {1, 2, 3}.
The other set begins with 3, so it's {3, 4, 5}
write the image of a point ( 3 - 2) under reflection about x - axis
Answers
Step-by-step explanation:
I m not sure either u have written (-2).. ans is (3,-2)
Answer:
(3, 2 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
(3, - 2 ) → (3, 2 )
the value, of a 7 in the millions place, is how many times greater than the value of a 7 in the ten thousands place?
Answers
Answer:
Your answer would be 100! :)
In a school machine shop, 60% of all machine breakdowns occur on lathes and 15% occur on drill presses. Let E denote the event that the next machine breakdown is on a lathe, and let F denote the event that a drill press is the next machine to break down. With and P(E) = 60 and P(F) =.15, calculate:
A. P(EC).
B. P(EUE).
C. P(EC ∩ FC).
Answers
Answer:
A. P(EC) = 0.4
B. P(E∪E) = 0.75
C. P(EC ∩ FC) = 0.25
Step-by-step explanation:
Let us calculate -:
we are given with - P(E) = 60 and P(F) =.15,
Thus , (a) [tex]P(E^C)=1-P(E)[/tex]
[tex]=1-0.6[/tex]
[tex]=0.4[/tex]
(b) P(E∪F) = P(E) + P(F)
= 0.60 + 0.15
= 0.75
(c) [tex]P(E^C[/tex]∩[tex]F^C)[/tex] [tex]=1-P(E[/tex]∪ [tex]F)[/tex]
[tex]=1-0.75[/tex]
= [tex]0.25[/tex]
Hence , the answers are -A. P(EC) = 0.4 , B. P(E∪E) = 0.75 , C. P(EC ∩ FC) = 0.25.
11/15 = w — 8/15 help me
Answers
Answer:
w=19/15
Step-by-step explanation:
11/15 = w - 8/15 |*15
11 = 15w-8 => 15w=8+11 => 15w=19 => w=19/15
Select all statements below that are true about the box plots shown.
1) The interquartile range for the cars going North is higher than the interquartile range for the cars going South.
2) The median speed for the cars going North is higher than the median speed for the cars going South.
3) The interquartile range for the cars going South is 9.
4) The interquartile range for the cars going North is 27.
5) The maximum speed for the cars going North is higher than the maximum speed for the cars going South.
6. The lower quartile for the cars going North is lower than the lower quartile for the cars going South.
Answers
In other words, choices 2 and 4 are false while everything else is true.
==========================================================
Explanation:
The boxplot, or box-and-whisker plot, is a visual way to display a five number summary. Recall that the five items of a five number summary are:
MinQ1MedianQ3MaxThe min and max are exactly what they sound like: They're the smallest and largest values. Visually, this means they are the left and right most edges of the whiskers. This assumes that there are no outliers on either side.
The visual representation of Q1 and Q3 are the left and right edges of the box in that order. The gap between them is the IQR (interquartile range). The wider the box, the larger the IQR will be. The diagram shows the north cars have a larger IQR compared to the south ones.
Choice 1) is one of the answers since it is a true statement.
-------------------
The median is visually shown as a vertical line somewhere inside the box. It doesn't have to be at the exact midpoint of the left and right edges. We could have the median be closer to the left edge for instance, as the north cars boxplot shows.
Choice 2 is false because the diagram shows that the cars going south have a higher median speed, due to that lower vertical line being more to the right compared to the upper vertical line. In other words, the median speed of the cars going south is 64 mph while the median speed of the cars going north is 62 mph.
-------------------
Choice 3 is a bit tricky since the left edge of the blue box isn't lined up with a value on the number line. But it appears to be halfway between 58 and 60, so it seems like Q1 = 59 for the southbound cars. The value of Q3 for the southbound cars is Q3 = 68. The IQR is therefore,
IQR = Q3 - Q1 = 68-59 = 9
It's very likely that choice 3 is true
-------------------
For the northbound cars, we have
Q1 = 56
Q3 = 71 (assuming the right edge of the green box is exactly in the middle of the tickmarks of 70 and 72)
So,
IQR = Q3 - Q1 = 71 - 56 = 15
We don't get a result of 27, so choice 4 is not a true statement.
-------------------
Choice 5 is a true statement. The max speed of the northbound cars is larger than the max of the southbound cars. This is because the right tip of the north's whisker is further to the right compared to the south's corresponding whisker.
-------------------
The lower quartile is another name for "Q1" or "first quartile". So we'll be looking at the left edges of each box. The northbound cars have a smaller Q1 value because
Q1 = 56 for northbound cars
Q1 = 59 (or somewhere between 58 and 60) for southbound cars
Therefore, choice 6 is true.
A square with a side length of 30 cm is divided into 4 triangles which expression CANNOT be used to find the area of one of the four small triangles
A. 302 divided by 4
B. 1/2(30 x 15)
C. (30 x 30) divided by 2
D. 450/2
Answers
Answer: A
Step-by-step explanation:
The point-slope equation of a line is
A. y + x - Xoyo = m
B. y= m(x - Yo)
O C. y+ mx - mxoyo
D. y-yo = m(x- xo)
Answers
Answer:
[tex]y - y_1 = m(x - x_1)[/tex]
Step-by-step explanation:
Given
A to D
Required
Which is the point slope equation
The point slope form of a coordinate pair is:
[tex]y - y_1 = m(x - x_1)[/tex]
Hence, (d) is correct
SOMEONE HELP PLZ!! just need to know what the domain and range is!
Answers
Answer:
C.
Step-by-step explanation:
The Domain is 1,2,3,4,5,6 because the line passes through there. The y-intercept is 1,2,3,4,5,6,7 because that is where it passes through.
If this helps please mark as brainliest
PLEASE HELP
3/4M -12 but m = 32
Answers
Answer:
Replace the variable m with 32
in the expression.
3/4⋅(32)−12 Simplify each term.
24−12 Subtract 12 from 24.
12
Step-by-step explanation:
Determine if the two triangles shown are similar. If so, write the similarity statement.
Question 16 options:
A)
ΔSUD ∼ ΔTUE
B)
Impossible to determine.
C)
The triangles are not similar.
D)
ΔSUD ∼ ΔEUT
Answers
Answer:
C) The triangles are not similar.
Step-by-step explanation:
These triangles are not similar. Similar triangles are triangles with the same angle measurements and proportionate side measures. However, these sides are not proportionate and therefore the triangles are not similar. You can tell the sides are not proportionate because on one triangle the two given sides (which are corresponding with the other two given sides) are congruent but the other triangle has no congruent sides. This also means that the smaller triangle is isosceles while the larger one is scalene, and different triangle types cannot be similar.
In which quadrant of the coordinate plane is the point (−7,−212) located?
1. Quadrant I
2. Quadrant II
3. Quadrant III
4. Quadrant IV
Answers
Answer:
Quadrant 3
Step-by-step explanation:
5.23y+3.8 times (2.7-1.6y)
Answers
Answer:
− 0.85 y + 10.26
Step-by-step explanation:
The multiplication of the expression (5.23y + 3.8) and (2.7 - 1.6y) will be 8.041y + 10.26 - 8.368y²
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (5.23y + 3.8) · (2.7 - 1.6y)
Simplify the expression, then we have
⇒ (5.23y + 3.8) · (2.7 - 1.6y)
⇒ 14.121y + 10.26 - 8.368y² - 6.08y
⇒ 8.041y + 10.26 - 8.368y²
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ2
Which of the following is the correct point-slope equation for the line that
passes through the point (-3,-9) and is parallel to the line given by
y = 2.5x - 20?
O A. Y-3 = 2.5(x - 9)
O B. y + 3 = 2.5(x + 9)
O C. y + 9 = 2.5(x+3)
O D. Y- 9 = 2.5(x-3)
Answers
Answer:
these are negative numbers
Step-by-step explanation:
x
Given the functions f and g in numerical (table ) forms as
-1 0 1 23 4
f(x)
x 1
2 5 5 3 4 3
g(x) 1
Compute: gof (1)
2
0
3
8
4
3
5
2
6
1
Done
Answers
Answer:
[tex]g\ o\ f(1) = 2[/tex]
Step-by-step explanation:
Given
The attached tables
Required
[tex]g\ o\ f(1)[/tex]
This is calculated as:
[tex]g\ o\ f(1) = g(f(1))[/tex]
From the attached tables,
[tex]f(1) = 5[/tex]
So, we have:
[tex]g\ o\ f(1) = g(5)[/tex]
From the attached tables,
[tex]g(5) = 2[/tex]
So, we have:
[tex]g\ o\ f(1) = 2[/tex]
What is the expected value for the binomial
distribution below?
1/3125
4/625
32/625
128/625
256/625
1024/3125
Answers
999.224
Step-by-step explanation:
Expected value = Summation of (x•px)
px is addressed as pdf (probability distribution function)
x px. x•px
1. 1/3125. 1/3125
20. 4/625. 16/125
160. 32/625. 1024/125
640. 128/625. 16384/125
1280. 256/625 65536/125
1024. 1024/3125. 335.544
total:. 1. 999.224
taking my pdf as x/3125
The expected value of the binomial distribution is 4
How to determine the expected value?The expected value of a binomial distribution is calculated using:
[tex]E(x) = \sum x * P(x)[/tex]
Using the table of values, we have:
[tex]E(x) = 0 * 1/3125 + 1 * 4/625 + 2 * 32/625 + 3 * 128/625 + 4 * 256/625 + 5 * 1024/3125[/tex]
Evaluate the expression
E(x) = 4
Hence, the expected value of the binomial distribution is 4
Read more about expected value at:
https://brainly.com/question/15858152
#SPJ6
When factored completely, the expression p4 - 81 is equivalent to ....
1. (p2+9)(p2-9)
2. (p2-9)(p2-9)
3. (p2+9)(p+3)(p-3)
4. (p+3)(p-3)(p+3)(p-3)
Answers
Choose all the factor pairs of 12.
A. 1,12
B. 2,6
C. 3,4
D. 5,7
E. 6,6
Answers
When they multiply together they equal 12
1•12=12✔️
2•6=12✔️
3•4=12✔️
5•7=35❌
6•6=36❌
Solve, using the substitution method. X + y = -11
2x - 3y = 3
A. (-6, -5)
B. (-10, -1)
C. (15, -4)
D. (6, 1)
Answers
Answer:
A. (-6,-5)
Step-by-step explanation:
A: Correct because -6+-5=-11------True
and 2(-6)-3(-5) is equal to -12-(-15) and a - plus a - equals a +
so our new equation is -12+15=3-----True
-Your welcome and I hope this helps you, please rate 5 stars =D
Look at the figure. How can you prove the triangles are congruent?
Answers
Answer:
SSS - The two triangles share all 3 sides, proving they are congruent.
Step-by-step explanation:
Two sides of each triangle are marked in the diagram as equal. The third side, [tex]\overline{BD}[/tex] is shared between both sides, meaning that both triangles share all three sides. This is known as SSS (side-side-side) and is a proof of congruence.
Step-by-step explanation:
In triangle ABD In triangle CBD
AB. = BC. [Given]
AD. = CD. [Given]
BD. = BD. [Common side]
Therefore,
According to SSS Congruence condition
Triangle ABD is congruent to Triangle CBD
Write an integer that represents the situation. Do not type any units, labels, or spaces on your answer will be scored as incorrect. The running back gained five yards on a play in football.
Answers
Answer:
The integer that represents the situation is 5.
Step-by-step explanation:
When you gain 5 yards, that is considered a positive increase in value.
You can either put 5 or +5 because they indicate the same positive value.
HELP ME PLEASEEEEEEEEEEEEEEEE
Answers
Answer:
52
Step-by-step explanation:
break down the shapes into simpler ones
do base X height for both
add both
Answer:
52cm^2
Step-by-step explanation:
Split the figure into 3 rectangles or squares and find the area of the individual shapes, add all the areas together and you should get 52cm^2
Find the measure of the angle HELP PLSSS URGENT!
Answers
Answer:
It is 40 degrees
Step-by-step explanation:
The 2 lines, x and y are forming 90 degrees, and since we know that part of that complementary angle is 50 degrees, we would do:
50+x=90
-50 -50
-------------
x=40
Round to the nearest whole dollar: $7.23
Answers
Answer:
$ 7
Step-by-step explanation:
To round 7.23 to the nearest whole dollar consider the tenths’ value of 7.23, which is 2 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of 7.23, 7, remains 7, and the decimal point and all digits (.23) are removed.
$7.23 rounded to the nearest dollar = $7
Zane received a quote to move his belongings to his new house. The estimate from
the mover is $675 for 6 hours of packing and 5 hours of loading on the weekend. The
cost during the week is $425 for 4 hours of packing and 3 hours of loading. If the
mover charges a set hourly rate for packing and another set hourly rate for loading,
what are these hourly rates?
What is the LCM for packing? What is the LCM for loading?
Answers
9514 1404 393
Answer:
packing: $50 per hourloading: $75 per hourpacking LCM: 12; loading LCM: 15Step-by-step explanation:
We can let P and L represent the hourly costs of packing and loading, respectively. The two estimates can be represented by the equations ...
6P +5L = 675
4P +3L = 425
The LCM of the coefficients of P is LCM(6, 4) = 12.
The LCM of the coefficients of L is LCM(5, 3) = 15.
__
Each LCM is the product of the numbers, divided by their greatest common factor. For 4 and 6, the product is 24, and both even numbers have a factor of 2, so the LCM of 4 and 6 is 24/2 = 12. The numbers 3 and 5 have no common factors, so the LCM is simply their product.
_____
The LCM is useful if you're going to solve the equations by "elimination". Here, the LCM of 12 means we can eliminate P by making its coefficient be 12 in both equations. Multiplying the first equation by 2, we can subtract 3 times the second equation to eliminate P:
2(6P +5L) -3(4P +3L) = 2(675) -3(425)
12P +10L -12P -9L = 1350 -1275
L = 75 . . . . . simplify
Similarly, we can eliminate L by making its coefficients be 15.
5(4P +3L) -3(6P +5L) = 5(425) -3(675)
20P +15L -18P -15L = 2125 -2025
2P = 100 . . . . simplify
P = 50 . . . . . . divide by 2
The hourly rates are ...
$50 per hour for packing
$75 per hour for loading
Answer:
40 packing and 80 moving
Lucy will spend more than $26 on gifts. So far, she has spent $17. What are the possible additional amounts she will spend?
use C for the additional amount Lucy will spend
Answers
Answer:
She can spend anything greater than $9. Such as, $10, $11, $12, $13
Step-by-step explanation:
Subtract 17 from 26 to get $9