Answer:
The proportion of babies with birth weights of 6 pounds or less is 0.1056 = 10.56%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Average birth weight of babies was 7.5 pounds and the standard deviation was about 1.2 pounds.
This means that [tex]\mu = 7.5, \sigma = 1.2[/tex]
Find the proportion of babies with birth weights of 6 pounds or less.
This is the pvalue of Z when X = 6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{6 - 7.5}{1.2}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056
The proportion of babies with birth weights of 6 pounds or less is 0.1056 = 10.56%.
Someone Help Me Please
Answer:
y=-4x-5
Step-by-step explanation:
as considering (x,y) as(-2,3)this shows the perpendicularity
Inverse of (1,3)(2,4)(6,8)
Answer:
{(3,1),(2,4),(6,8)}
Step-by-step explanation:
Since for inverse of (x,y), it's(y,x)
i.e. the forst term and second term of order pair switch their places
I NEED HELP NOW THE ASSIGNMENT IS TIMED AND I DON"T HAVE MUCH TIME LEFT HELP PLEASEEEE I WILL GIVE EXTRA POINTS
Thuy is substituting t = 3 and t = 8 to determine if the two expressions are equivalent.
4 (6 t + 1) 24 t + 1
Which statement is true?
Both expressions are equivalent to 73 when t = 3.
Both expressions are equivalent to 76 when t = 3.
Both expressions are equivalent to 193 when t = 8.
The expressions are not equivalent.
the answer is B) both expressions are equivalent to 76 when t=3
Hope this helps :)
Answer:
D
Step-by-step explanation:
Hope i helped :)
Determine whether the given scenario meets the criteria of a binomial distribution. If not, identify the requirement that is not satisfied. If there is more than one requirement that is not satisfied, please indicate this by selecting the correct choice below. You ask ten randomly chosen college students to rate their experience at the dining hall on a scale of 1-5.
a. Yes, this scenario can be modeled using a binomial distribution.
b. No, there is no fixed number of trials and there are more than two possible outcomes for each trial.
c. No, there are more than two possible outcomes for each trial.
d. No, there is no fixed number of trials.
Answer:
c. No, there are more than two possible outcomes for each trial.
Step-by-step explanation:
Binomial probability distribution:
Only two possible outcomes, success or failure.
In each trial, the probability of a success must be the same.
The number of trials must be fixed.
You ask ten randomly chosen college students to rate their experience at the dining hall on a scale of 1-5.
There are 10 trials, which is a fixed number and respects the binomial distribution. However, there are five possible outcomes(numbered 1 to 5). Since there is more than two possible outcomes, the scenario cannot be modeled using a binomial distribution, and the correct answer is given by option c.
Branliest to correct answer explain how you solved it please
Answer:
0.03
Step-by-step explanation:
.25% for the tails times .5 for the odd number on the dice times 0.25 for the clubs because it is a 13/52 chance you will pull a clubs and put that all together and you get 0.03125 simplified and you get 0.03
Answer:
0.03
Step-by-step explanation:
The probability of landing on 1 tail is 1/2, since it is 1 out of 2 options, a tail or a head. If you want the probability of two tails, it would be 1/2 * 1/2 = 1/4.
Next we can take the probability of rolling an odd number on a fair die. A fair die has 3 even numbers: 2,4,6; and 3 odd numbers: 1,3,5. Since 3/6 or 1/2 of the numbers are odd, there is a 50% chance that it would roll an odd number.
Finally, drawing a club out of standard deck of cards is 1/4, since there are 4 choices: hearts, spades, clubs, or diamonds. You now get the idea, and you can figure out that the probability would be 1/4.
Our last step is to multiply all the answers we get, since to get all of them at once would lower your chances. 1/4 * 1/2 * 1/4 = 1/32 = 0.03125; rounded to 0.03.
I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS
Answer:
54.85 un²
Step-by-step explanation:
Calculate the square and the circle and add them together.
[tex]2\pi[/tex]r
radius = 3
[tex]2\pi[/tex]3
Circumference = [tex]2\pi[/tex]r = 2 × [tex]\pi[/tex] × 3 = 18.84956
18.84956 rounds to 18.85
The circle's area is 18.85 un².
The square is 6 by 6.
6 × 6 = 36
The square's area is 36 un².
18.85 un² + 36 un² = 54.85 un²
Please solve the following problem.
Express the complex number [tex]z = 8 \text{cis} \frac{2\pi}{3}[/tex] in rectangular form [tex]a+bi[/tex].
Answer:
- 4 + 4√3 i, where a = -4 & b = 4√3
Step-by-step explanation:
z = 8 cis(2π/3)
z = 8 [cos(2π/3) + i sin(2π/3) ]
z = 8 [cos(π - π/3) + i sin(π - π/3)]
z = 8 [ - cosπ/3 + i sin(π/3)]
z = 8[ - 1/2 + i √3/2 ]
z = - 4 + 4√3 i [in a + bi form]
Note that: cis x = cosx + i sinx
Answer:
[tex]a + bi = - 4 + 4 \sqrt{3} i[/tex]
Step-by-step explanation:
we are given [tex]\displaystyle cis(\dfrac{2\pi}{3})[/tex]
recall complex number trigonometric form:
[tex] \displaystyle \: r( \cos( \theta) + i \sin( \theta) )[/tex]
we are already given that [tex]\theta=\dfrac{2\pi}{3}[/tex]
recall complex number rectangular form
[tex] \displaystyle \: a + bi[/tex]
where [tex]\displaystyle a=r\cos(\theta)\: and\: b=r\sin(\theta)[/tex]
let's work with a:
substitute the value of [tex]\theta[/tex] and r
[tex] \displaystyle \: a = 8 \times \cos( \frac{2\pi}{ 3} ) [/tex]
recall unit circle
so [tex]\cos(\dfrac{2\pi}{3})[/tex] should be in Q:II
[tex] \displaystyle \: a = 8 \times - \frac{1}{2} [/tex]
simplify multiplication:
[tex] \displaystyle \: a = - 4[/tex]
let's work with b:
substitute the value of [tex]\theta[/tex] and r:
[tex] \displaystyle \: b = 8\sin( \frac{3\pi}{2} ) [/tex]
recall unit circle so [tex]\sin(\dfrac{3\pi}{2})[/tex] should be in Q:II
[tex] \displaystyle \: b = 8 \times \frac{ \sqrt{3} }{2} [/tex]
simplify:
[tex] \displaystyle \: b = 4 \sqrt{3} [/tex]
so
[tex] \displaystyle \: b i= 4 \sqrt{3} i[/tex]
hence,
[tex]a + bi = - 4 + 4 \sqrt{3} i[/tex]
PLZ HELP DEW BY 5PM
This graph represents the relationship between x and y.What is an equation showing the relationship between x and y?Enter your answer in the box.
Answer:
Points I guess
Please answer this :/
Answer:
-60
Step-by-step explanation:
-45+s=-105
s=-105+45
s=-60
if the circumference of a circle is 52 cm, what is the radius? round to the nearest tenth. PLESE HELP I DONT HAVE THAT MUCH TIME :(
Answer:
8.3
Step-by-step explanation:
Given,
Circumference of the circle = 52 cm
Therefore ,
By the problem,
[tex] = > 2\pi r = 52[/tex]
[tex] = > 2 \times 3.14 \times r = 52[/tex]
[tex] = > r = \frac{52}{3.14 \times 2} [/tex]
=> r = 8.2802547771
Rounded to nearest tenth,
=> r = 8.3 (Ans)
Noah has $5.
1.
a.
Elena has 40% as much as Noah. How much does Elena have?
b.
Compare Elena's and Noah's money using fractions. Draw a diagram to
illustrate.
Answer:
a. $4
b. Noah has 5/5. Elena has 4/5.
Step-by-step explanation:
Noah has $5.
a.
Elena has 80% of Noah's money.
80% of $5 = 0.80 * $5 = $4
b.
Noah has $5. We can consider $5 to be the full amount.
A full amount is 100% or 1 or 5/5.
Elena has 80% of Noah's money, so she has 80/100 of Noah's money.
80/100 reduces to 4/5.
Noah has 5/5, and Elena has 4/5.
The money that Elena has is $2.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
The given problem can be solved as follows,
(a) The amount of money Elena has is 40% of that of Noah.
It can be written as follows,
40% × 5
= 40/100 × 5
= 2
(b) Since the Elena has 40% of the Noah's money,
In the form of fraction it can be written as follows,
40% = 40/100
= 2/5
This can be represented in a diagram as follows,
In the diagram shown the circle has in total 5 sectors of which 2 yellow sectors represent Elena's money.
Hence, the amount of money Elena has is $2 which is shown in the diagram.
To know more about percentage click on,
brainly.com/question/29306119
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solve the inequality 0<5x-2<8
Answer:
×= 2 this is what I got as a result to my equations
A store regularly sold 2 cans of coup for $0.64. It advertised a special sale of 6 cans for $1.56. A customer bought 12 cans at the sale. How much did the customer save over the regular price?
Which set of ordered pairs does not represent a function?
O {(3,4),(-9,5 (-3,8),(-2,8)}
O {(5,5), (5, -9),(-1,-8), (-4, – 7)}
O{(-5, -8), (0, -4),(-8,-8), (6,6)}
o{(-1,7), (1,8), (0, -3), (-4, -3)}
Answer:
B
Step-by-step explanation:
Sue and Bill share a 16 ounce bucket of clay. By the end of the week, Sue has used 5/8 of the bucket, and Bill has used 1/4 of the bucket of clay. How many ounces are left in the bucket?
Answer:
2
Step-by-step explanation:
16×5/8=10
16×1/4=4
16 - 10 - 4 =2
The radius of a circle is 7 centimeters. What is the area?
r=7 cm
Give the exact answer in simplest form.
square centimeters
开
Answer:
49开
Step-by-step explanation:
I believe it's 153.9
Tom surveyed a random sample of the junior of his school to determine whether the Fall Festival should be held in October or November. Of the 80 students surveyed, 24.8% said they preferred November. Based on this information, about how many students in the entire 230-person class would be expected to prefer having the Fall Festival in November. SHOW YOUR WORK PLEASE!!!
a. 50
b. 60
c. 75
d. 80
9514 1404 393
Answer:
b. 60
Step-by-step explanation:
We assume the percentage for the sample holds for the whole class, so the estimated number preferring November is ...
0.248 × 230 = 57.04 ≈ 60
About 60 students prefer November.
I will mark as the brainlest if correct
Answer:
Answer A
Step-by-step explanation:
Answer the following. Round all answers to the nearest hundredths place.
The angle of elevation from point A to the top of the cliff is 38 degrees. If point A is 80 feet from the base of the cliff, how high is the cliff?
Answer:
62.5ft
Step-by-step explanation:
It doesnt matter if there's bumps along the side, the height will still reach to the same point.
Using trigonometry we have a adjacent and the opposite.
Hypotenuse is opposite the right angle
Opposite is opposite the angle
Adjacent is the last side to remain
Soh Cah Toa
We'll be using toa (Tan) because o and a (opposite and adjacent)
rearranging the original formuma :
Side × tan(Angle)
80 × tan (38) =62.50285....ft
Find the ratio a : b , if it is given that ...
5a +3b =6b
Answer:
3:5
Step-by-step explanation:
5a + 3b = 6b
5a=6b-3b
5a=3b
a/b= 3/5
a:b=3:5
the dimensions of the lawn shaped like trapezoid are given in meters what is the area of the lawn in square meters
Answer:
Where are the dimensions?
Algebra 2
Help me pls
Answer:
log (150)=2.176091259
Answer:
log104=2.107
log150=2.176
log1025=3.011
log10570=4.024
log7=0.845
Step-by-step explanation:
To solve these questions, you can just plug them into your calculator:
log104=2.107033339≈2.107
log150=2.176091259≈2.176
log1025=3.010723865≈3.011
log10570=4.024074987≈4.024
log7=0.84509804≈0.845
What is the value of (52 - 10) = 5 x 23?
А
0
B
18
C
24
D 40
Answer:
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i am just doing this so I can get more answers
Step-by-step explanation:
Derek answered 42 out of 60 questions correct on the last test. What was his score as a percent?
Answer:
70%
Step-by-step explanation:
42/60 = 7/10
Number 1 and solve please
ok.........................................
The table shows a function. Is the function linear or non linear
Answer:
To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
In 2013 the most expensive cocktail (made with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?
Answer:
$14,000
Step-by-step explanation:
Find b and c so that y =
2x^2 + bx+c has vertex (0,-2)
b=
C=
Answer:
Step-by-step explanation:
A man who is 2m tall stands on horizontal ground 30m from a tree . The Angel of elevation of the top of the tree from his eyes is 28 . Fine the distance between the man eyes to the top of the tree
Answer:
33.97 m
Step-by-step explanation:
Given that,
The height of a man = 2 m
He stands on a horizontal ground 30m from a tree.
The angle of elevation of the top of the tree from his eyes is 28°.
We need to find the distance between the man eyes to the top of the tree. Let the height of the tree be h
Using trigonometry to find such that,
[tex]\tan28=\dfrac{h}{30}\\\\h=\tan28\times 30\\\\h=15.95[/tex]
Now let us consider that the distance between the man eyes to the top of the tree is x. Using Pythagoras theorem,
[tex]x^2=30^2+15.95^2\\\\x=33.97\ m[/tex]
So, the distance between the man eyes to the top of the tree is 33.97 m.