(x+2)(3x+1)
x(3x+1)+2(3x+1)
3x²+x+6x+2
3x²+7x+2
(3x²+7x+2)(x-3)
x(3x²+7x+2)-3(3x²+7x+2)
3x³+7x²+2x-9x²-21x-6
3x³+7x²-9x²+2x-21x-6
3x³-2x²-19x-6
a random sample of 784 10-ounce cans of fruit nectar is drawn from among all cans produced in a run. prior experience has shown that the distribution of the contents has a mean of 10 ounces and a standard deviation of .10 ounce. what is the probability that the mean contents of the 784 sample cans is less than 9.995 ounces? a) 0.131 b) 0.081 c) 0.101 d) 0.111 e) 0.121 f) none of the above
The probability that the mean contents of the 784 sample cans are less than 9.995 ounces is 0.081. The correct option is B
Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. Probability has been introduced in mathematics to determine how likely events are to occur.
Given mean = 10
standard deviation = 0.10
sample = 784
The probability that the 784 sample cans' average contents will be less than 9.995 ounces
P ( X < 9.995 ) = x - μ/ σ / √n
= 9.995-10/0.10/√784
= -0.005 / 0.10 /28
= -1.400
P(Z < -1.400) = 0.081
Therefore the probability that the mean contents of the 784 sample cans are less than 9.995 ounces is 0.081
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madge is six years older than bruce. in five years the sum of their ages will be thirty-six. how old is bruce
Answer:
Bruce is 10 years old.
Step-by-step explanation:
m - Madge age.
b - Bruce age.
Madge is six years older than Bruce.
m=b+6 or m-6=b
In five years the sum of their ages will be 36.
m+5 - Madge age after 5 years.
b+5 - Bruce age after 5 years.
m+5+b+5=36
m=b+6
b+6+5+b+5=36
2b+16=36
2b=36-16
2b=20 /:2
b=10
m=b+6=10+6=16
.
R is inversley propeotional to A When R=12, A=1.5
The answer is 3.6 and 2 respectively.
What is the proportionality constant?
The proportionality constant is the ratio that connects two given values in a proportional relationship. The constant of proportionality is also known as the constant ratio, constant rate, unit rate, constant of variation, and even the rate of change.
We have,
R = k / A
where,
k is the proportionality constant
12 = k / 1.5
k = 12 * 1.5
k = 18
now
a) The value of R is?, when A=5.
R = 18 / 5
= 3.6
b) The value of A is? R=9.
A = 18 / 9
= 2
Hence, the answer is 3.6 and 2 respectively.
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Dr. Potter provides vaccinations against polio and measles. Each polio vaccination consists of 4 44 doses, and each measles vaccination consists of 2 22 doses. Last year, dr. Potter gave a total of 60 6060 vaccinations that consisted of a total of 184 184184 doses. How many polio vaccinations and how many measles vaccinations did dr. Potter give last year?.
The number of polio vaccinations is 32 and measles vaccination is 28
Let p represent the number of polio vaccines and let m represent the number of measles vaccines.
We know that each polio vaccine consists of 4 doses, and each measles vaccine consists of 2 doses.
Dr. Potter gave a total of 60 vaccinations last year. Therefore, the sum of the number of polio vaccines and measles vaccines must total 60. Therefore:
p+m=60
Together, they consisted of 184 doses.
Since each polio vaccine has 4 doses, the amount of doses for p polio vaccines is 4p.
And since each measles vaccine has 2 doses, the amount of doses for m measles vaccines is 2m.
So:
4p+2m=184
We now have a system of equations:
p+m=60
4p+2m=184
We can solve using elimination. Let’s multiply the first equation by -2. So:
-2p-2m=-120
Now, we can add this to the second equation. Hence:
(-2p+4p)+(-2m+2m)=(-120+184)
2p=64
p=32
Therefore, Dr. Potter gave out 32 polio vaccinations
p+m=60
By the first equation:
p+m=60
Substitute 32 for p to get
32+m=60
m=60-32
m=28
So, 28 measles vaccinations were given out.
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Julia meaured a line to be 16. 1 inche long. If the actual length of the line i 17. 1 inche, then what wa the percent error of the meaurement, to the nearet tenth of a percent?
The percent error of the meaurement is 6.21%
Julia meaured a line to be 16. 1 inche long
The actual length of the line i 17. 1 inche
Error in length = actual length - measured length
Error in length = 17.1 - 16.1 = 1 inch
Percent of error is defined as the difference between a measured or experiment value and an accepted or known value, divided by the known value, multiplied by 100
error percent = error/ known value x 100
= 1/16.1 x 100
= 6.21%
Therefore, the percent error of the meaurement is 6.21%
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What are 3 signs of symptoms of an allergic reaction?.
Hives, itching, and pale or flushed skin are examples of allergies. reduced blood pressure (hypotension) breathing difficulties and wheezing can result from airway constriction and swelling of the tongue or throat.
What causes allergies?
Your body reacts to an allergen when it is generally harmless, such as pollen, mold, animal dander, latex, certain foods, or insect bites. The symptoms of allergies can range in severity from minor (rash or hives, itching, runny nose, watery/red eyes) to life-threatening.Why do allergies occur?
If your immune system overreacts to something that is typically harmless but causes an allergic reaction in someone who is sensitive to it, you will experience allergy symptoms. We call this chemical an allergy.
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Please help me with both questions. the question one put a, b, c, or d. Like this: 1=a and same for the second question like 2=c. The test is due soon please help!
Step-by-step explanation:
4.
p(-2) = 6×-2 + 2 = -12 + 2 = -10
p(4) = 6×4 + 2 = 24 + 2 = 26
so,
p(-2) is smaller than p(4)
3.
r(-1) = -2×-1 - 5 = 2 - 5 = -3
2.9 - 4.8n - 3n + 5 simplified
Answer:
-7.8n+7.9
Step-by-step explanation:
NEED HELP FAST
question is in the picture attached
Answer:
x=12.99
h=7.5
Step-by-step explanation:
we us cosine rule first to look for OBthe triangle OCB is an isosceles triangle whereby angleOCB=120,angleCOB=angleCBO=30
thus length of BC is 15
[tex]cosine \: rule \\ a {}^{2} = b {}^{2} + c {}^{2} - 2bc \cos(a) [/tex]
=(15^2+15^2)-(2×15×15×cos 120)
=450-(-225)
a^2 =675
a=25.98=OB
finding xx=15sin 60
=12.99
finding hh=15sin 30
=7.5
Which symbol correctly compares these two fractions?
3/10 ? 1/3
A. =
B. >
C.
Answer:
Step-by-step explanation:
3/10 < 1/3
Despeja la variable c del siguiente ejercicio E=mc^2
Answer:
Step-by-step explanation:
m = E / c²
The mean of 2,3,4,5,6,7,y is 10. then the value of y is.
Answer:
43
Step-by-step explanation:
to find mean we add all the terms together and them divide by the amount of terms so lets add what we know first
2+3+4+5+6+7
27
there are 7 terms including the y so for there to be a mean of 10 the terms will have to equal 70 when added so we just subtract
70-27
43
hopes this helps please mark brainliest
