Answer:
-7.8n+7.9
Step-by-step explanation:
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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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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Which symbol correctly compares these two fractions?
3/10 ? 1/3
A. =
B. >
C.
Answer:
Step-by-step explanation:
3/10 < 1/3
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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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
