The probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.
Given that a biochemical research company produces 50% of its insulin in Kansas and the rest in Jefferson, and 0.5% of Kansas's insulin is defective, while 1.35% of Jefferson's also is defective, to determine what is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective, the following calculation must be performed:
0.5 + 1.35 = 1.85 1.85 = 100 1.35 = X 1.35 x 100 / 1.85 = X 72.97 = X
Therefore, the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.
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Solve −3x2 + 30x − 90 = 0
Step-by-step explanation:
so, it is a quadratic equation :
-3x² + 30x - 90 = 0
the first thing we can do is divide by 3
-x² + 10x - 30 = 0
remember, the formula to solve and find the 2 solutions is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case here
a = -1
b = 10
c = -30
x = (-10 ± sqrt(100 - 4×-1×-30))/-2 =
= (-10 ± sqrt(100 - 120))/-2 = (-10 ± sqrt(-20))/-2 =
= (-10 ± sqrt(4×5)i)/-2 = (-10 ± 2×sqrt(5)i)/-2 =
= 5 ± -sqrt(5)i
x1 = 5 - sqrt(5)i
x2 = 5 + sqrt(5)i
remember, i = sqrt(-1), a complex number.
Liam had $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost
among the 24 of them.
How much money does Liam have left?
Write your answer as an expression.
$=
Answer:
250 - [tex]\frac{p}{24}[/tex]
Step-by-step explanation:
Since we have given that
Amount that Liam has = $250
Amount that he and his classmates spent on present for their teacher =$p
Number of students in which $p will split = 24
According to question,
Amount that left to Liam is given by
250 - [tex]\frac{p}{24}[/tex]
Hence, the required expression will be
250 - [tex]\frac{p}{24}[/tex]
(Hope this helps can I please have brainlist (crown)☺️)
Which expression is equivalent to 45 divided by (2 - x)
Answer:
45
---------
(2 - x)
Step-by-step explanation:
That would be:
45
---------
(2 - x)
Also valid: 45/(2 - x)
a ratio is a comparison between two or more numbers or quantities
a. True
b. False
32 is 40 percent of what number? A 12.8 B 128 C 114 D 124
Answer: C
.Step-by-step explanation:
it was right for me so if its wrong im sorry :)
a submarine is submerged to a depth of 650 feet below sea level the ascends 225 feet. Determine the current position of the submarine
Answer:
Step-by-step explanation:
Ascending means moving towards the surface.
So the submarine is 340 feet below sea level.
The submarine ascends 76feet.
∴
340
−
76
=
264
f
e
e
t
below sea level.
Answer: 425 feet
Step-by-step explanation:
650 - 225 = 425
ascend is positive
650 is technically negative
6. Find the percent of decrease from 24 to 18.
Answer:
25%
Step-by-step explanation:
24-18= 6
6 × 100 = 25%
24
Answer:
25% decrease
Step-by-step explanation:
find 1% of 24 24 divided by 100= 0.24
18 divided by 0.24 = 75
now 100 - 75 = 25
The circle below represents one whole . …. What percent is represented by the shaded area ?
Answer:
50%
Step-by-step explanation:
shaded area = 2/4
shaded area as a percentage ;
2 / 4 x 100
= 1 / 2 x 100
= 1 / 1 x 50
= 50%
Find the slope (show your solution)
y=4x+5
please help me to answer this i really really need it
Solve
-14 - 7
A. -21
B. -7
C. 7
D. 21
Answer:
since negative and negative are plus we add it but not
change the sign
Step-by-step explanation:
so the answer is -21
hope I helped
HELP HURRY !! is the graph a function ?
Answer:
Yes.
Step-by-step explanation:
If you use the vertical line test, you'll see that the line only touches the graph at one point.
Help me ASAP now like really fast
Answer: I think the answer is C.. It looks like an 180 angle from my perspective.
I hope that is correct
Answer:
C
Step-by-step explanation:
Well, we know all the angles must sum up to 180º. From this, we can write the equation ' 3xº + 80º + 2xº = 180º ', which is answer choice C
A line passes through the point (-2,6) and has a slope of 5/2 write an equation in slope-intercept form for this line
Answer:
y=5/2x+11
Step-by-step explanation:
write part of equation and apply
6=5/2(-2)+n
n=11
y=5/2x+11
199 hares of two different colors, gray or white, gathered on a meadow. Every hare found the ratio of the number of hares of the other color to the number of hares of its color (including itself). What is the greatest value for the sum of all of these ratios?
Answer:
grey
Step-by-step explanation:
the greatest sum is 25
Giving brainliest!
Starting at sea level, a submarine descended at a constant rate to a depth of −3/4 mile relative to sea level in 5/8 minutes.
The submarine continues to descend at the same rate. What is the submarine's depth relative to sea level after the first minute?
Answer:
Step-by-step explanation:
Let r be the rate of descent in miles per minute
-3/4 miles / 5/8 minutes
-3/4 • 8/5 = -24 / 20 = -1.2 mi/min
so in one minute
-1.2 mi/min (1 min) = -1.2 miles
pls help with number 12
9514 1404 393
Answer:
a. Zachary is correct
b. (-1)(-3) = 3 (Scott & Tina are wrong); (5)(-2) = -10 (Aaron is wrong); (1)(3) = 3
Step-by-step explanation:
a. An even number of minus signs in a product will mean the product is positive; an odd number will mean the product is negative. Zachary's observation is consistent with this rule. Zachary is correct.
We can show the others are incorrect using a counter-example.
(-1)(-3) = 3 . . . . shows Scott, Aaron, and Tina are incorrect
Tina's rule is not consistent with the commutative property of multiplication.
Aaron's rule applies to addition, but not to multiplication.
__
b. The example used above is one example. Here are two more.
(-1)(-3) = 3 . . . . . shows Zachary correct; Scott, Aaron, Tina incorrect
(5)(-2) = -10 . . . . Aaron's own example shows him incorrect
(1)(3) = 3 . . . . . . agrees with all students' observations
Tom is reviewing his cell phone bill. When he gets to the text message part he notices that he send 1 text message in October,7 text messages in November, 49 messages in December,and 343 text messages in January. what kind of sequence is this?
a. arithmetic b. geometric c. both d. neither
Answer:
it is c. both i guess anyways thanks
i hope you passed and sorry for taking your points
Step-by-step explanation:
Solve for L:
P=2L+2W
Answer:
[tex]L=\frac{1}{2}P-W[/tex]
Step-by-step explanation:
Let's solve for L.
[tex]P=2L+2W[/tex]
Step 1: Flip the equation.
[tex]2L+2W=P[/tex]
Step 2: Add [tex]-2W[/tex] to both sides.
[tex]2L+2W+-2W=P+-2W[/tex]
[tex]2L=P-2W[/tex]
Step 3: Divide both sides by [tex]2[/tex].
[tex]\frac{2L}{2}=\frac{P-2W}{2}[/tex]
[tex]L=\frac{1}{2}P-W[/tex]
Answer:
[tex]L=\frac{1}{2}P-W[/tex]
Five kittens are sharing 6 cups of milk equally. How much milk does each kitten get?
Answer:
1 1/5
Step-by-step explanation:
We know that there is 5 kittens that have to eat six bowls of milk
Each cat would get 1 whole bowl of milk. All the kittens have to share 1/5 of the sixth bowl of milk.
Five kittens are sharing 6 cups of milk equally so 1 1/5 cup of milk is given to each kitten.
What is meant by Mathematical expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
Expressions in writing are made using mathematical operators such addition, subtraction, multiplication, and division.. For instance, the mathematical equation for "4 added to 2" will be 2+4.
Arithmetic operations are the most fundamental type of mathematical expression. Any combination of numbers and a mathematical operation, such as multiplication, addition, subtraction, or division, are considered arithmetic operations. For instance, the arithmetic operation 9 + 14/2 - 6*(5 + 3) results in -32.
Given,
6 cup of milk so there are 5 kitten
To give 6 cup of milk to 5 kitten is=6/5
= 6/5
=1 1/5
Therefore Five kittens are sharing 6 cups of milk equally so 1 1/5 cup of milk is given to each kitten.
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Thanksgiving Meal Challenge
Considering the final price of the meal, would you rather have a $25 gift
card to apply toward to total price or a 35% off coupon? Show your work
and explain.
If the price of the meal is less than $71, then the $25 gift card would be better than the 35% off coupon.
Let y represent the price of the meal.
For a $25 gift card to be applied, the final price is:
Final price = y - 25
For a 35% off coupon, the final price is:
Final price = y - 0.35y = 0.65y
y - 25 < 0.65y
0.35y < 25
y < 71.42
If the price of the meal is less than $71, then the $25 gift card would be better than the 35% off coupon.
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Write an equation for the nth term of the arithmetic sequence 7,2,-3,-8,
Answer:
-5n+12
Step-by-step explanation:
find the difference which is -5
then find the difference from -5 to 7 which is 12
put it in the sequence
-5n+12
Answer:
-5n+12 that would be your equation
Use the graph to determine the
solution (solutions) of the equation
f(x) = 0.
Please help, with explanation
Answer:
-3, 1
Step-by-step explanation:
The vertical scale of the graph is f(x). So, f(x) = 0 is the x-axis. Where the graph crosses the x-axis, the value of f(x) is 0.
The x-axis is labeled on alternate lines. Those labels are sufficient to tell you that each grid line represents one unit. The curve intersects the x-axis 3 units to the left of the vertical axis, at x = -3, at 1 unit to the right of the vertical axis, at x = 1.
The values of x where f(x) = 0 are -3 and 1.
50 points! Help (Vectors)
Answer:
[tex]<8,10>[/tex]
Step-by-step explanation:
Answer:
Blue (8,10)
Step-by-step explanation:
2(4)=8
2(5)=10
A patio measures 4 yd long and 3 yd wide. What is the area in square meters? Round final answer to two decimal places
Answer:
Step-by-step explanation:
1 yd(36 in/yd)(2.54 cm/in) / (100cm/m) = 0.9144 m
(4(0.9144)) x (3(0.9144)) = 10.03352832 = 10.03 m²
what is the value of 2
Step-by-step explanation:
???
one more than 1, one less than 3
Answer:
the value of 2 is 1+1=2
Step-by-step explanation:
gamsahamnida have a great day ahead
Please please help please help me help please help me
Help needed with this asap
Answer:
x = 10
Step-by-step explanation:
RO and OQ are congruent
Since RO = 50, and RQ = 12x - 20,
OQ = 12x - 20 - 50 = RO
50 = 12x - 70
120 = 12x
x = 10
-Chetan K
This the right one click it so you can get it right
Answer:
The one highlighted yellow is the correct option
6 liters is to 72 km as 50 liters is to x km
I need to understand this can anyone explain me the easiest way please
Find f(g(2)).
f(x) = 2x + 1
g(x) = 5x
10
12
21
-14
Answer:
21
Step-by-step explanation:
First, we have to find g(2)
Plug in 2 in the g(x) equation
g(2) = 5(2) = 10
Now, we have f(10)
Pug in 10 in the f(x) equation
f(10) = 2(10) + 1
f(10) = 20 + 1 = 21
A company that bakes chocolate chip cookies averages 5.2 chocolate chips per cookie. Assume that the number of chocolate chips per cookie follows the Poisson distribution. What is the probability that a randomly selected cookie will contain two or more chocolate chips
Answer 12
Step-by-step explanation:
A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four units, and because each has identical packaging, the selection will be random. What is the probability that (a) all four units are good, (b) exactly two units are good, and (c) at least two units are good?
I hope that helped?