Answer:
a. Above 337.8 grams.
b. Between 318.25 grams and 331.75 grams.
c. Above 316.59 grams.
d. Below 312.2 grams
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.
Mean of 325 grams and a standard deviation of 10 grams.
This means that [tex]\mu = 325, \sigma = 10[/tex]
a. Highest 10 percent
This is X when Z has a pvalue of 1 - 0.1 = 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = 10*1.28[/tex]
[tex]X = 337.8[/tex]
So 337.8 grams.
b. Middle 50 percent
Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.
25th percentile:
X when Z has a pvalue of 0.25, so X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = -0.675*10[/tex]
[tex]X = 318.25[/tex]
75th percentile:
X when Z has a pvalue of 0.75, so X when Z = 0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = 0.675*10[/tex]
[tex]X = 331.75[/tex]
Between 318.25 grams and 331.75 grams.
c. Highest 80 percent
Above the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.841.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.841 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = -0.841*10[/tex]
[tex]X = 316.59[/tex]
Above 316.59 grams.
d. Lowest 10 percent
Below the 10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = -1.28*10[/tex]
[tex]X = 312.2[/tex]
Below 312.2 grams
When using an equivalent fraction to find a percent, why do you write 100 as the denominator ?
Please i need help for all of them!!
Answer:
1) x=65
2) x= 70
3) x= 40
4) x= 131
5) x= 75
6) x= 49
7) x= -12
8) x= 42
For the following right triangle, find the side length x. Round your answer to the nearest hundredth
12
9
Answer:
7.94
Step-by-step explanation:
[tex]a^{2} + 9^{2} =12^{2} \\a^{2} +81 = 144\\a^{2} = 63\\a = \sqrt{63} \\a= 7.93725[/tex]
Find the area in square inches of the figure shown.
Answer:
8 * 17 = 136
39 * 36 = 1404
1482 + 136 = 1540
Step-by-step explanation:
The area of the figure is 330 inches²
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the figure be composed of two different right angled triangles
Now , Let the first triangle be ΔABC
Let the second triangle be ΔBCD
Length of first triangle = 36 inches
Base of second triangle = 8 inches
Since the base of the first triangle is equal to the length of the second triangle ,
From the Pythagoras Theorem , The hypotenuse² = base² + height²
On simplifying the equation , we get
base² = hypotenuse² - height²
BC² = 17² - 8²
BC² = 289 - 64
BC² = 225
Taking square roots on both sides , we get
BC = 15 inches
Therefore , the base of the first triangle and the length of the second triangle is 15 inches
Now , to find the area
Total area of figure = Area of first Triangle + Area of second triangle
The area of the triangle = ( 1/2 ) x Length x Base
Total area of figure = ( 1/2 ) x ( 36 x 15 ) + ( 1/2 ) x ( 15 x 8 )
= ( 1/2 ) x 540 + ( 1/2 ) x 120
= 270 + 60
= 330 inches²
Therefore , the value is 330 inches²
Hence , The area of the figure is 330 inches²
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Colin slices a cake into 8 equal-sized slices. He and his friends eat 5 slices of the cake.
What fractional part of the cake do Colin and his friends eat?
Answer:
5/8
Step-by-step explanation:
there are 8 slices.
if he and his friends eat 5 pieces, they ate 5 out of 8 pieces.
in maths, we write 5 out of 8 like 5/8
hope this helped, any questions - just ask
good luck,
-cheesetoasty
Find the area of the figure shown below and choose the appropriate results
A 60 cm
B 66 cm
C 72 cm
D 96 cm
Answer:
sorry if im rong but im prety sure its d
Step-by-step explanation:
Answer:
Step-by-step explanation:
d
Simplify the expression
4p−5(p+6)
Please help, thank you :)
Answer:
-p - 30
Step-by-step explanation:
Hope this helps
Answer:
-p-30
Step-by-step explanation:
4p-5(p+6) Distribute -4 to p and 6
4p-5p-30 simplify by adding the p variables
-p-30
Reduce 65 in ratio 5:2
Answer: [tex]46.42:18.57[/tex]
Step-by-step explanation:
[tex]5+2 = 765/7 × 5 = 46.4265/7 × 2 = 18.57∴ 65 in the ratio 5:2 = 46.42:18.57x^{2}[/tex]
The solution is 46.42857 : 18.57143
The proportion equation is given by 46.42857 : 18.57143 and
46.42857 + 18.5714365 = 65
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number be represented as N
The value of N = 65
The proportion is 5 : 2
The total value of the ratio = 5 + 2 = 7
So , each value of the proportion is x = 65 / 7
On simplifying the equation , we get
Each value of the proportion is x = 9.2857142857
Now , the proportion equation is given by
The value of 5x = 5 ( 9.2857142857 )
The value of 5x = 46.42857
The value of 2x = 2 ( 9.2857142857 )
The value of 2x = 18.57143
And , 46.42857 + 18.5714365 = 65
Hence , the proportion is 46.42857 : 18.57143 or 5 : 2
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What is 0.73 as a percent?
Answer:
73%
Step-by-step explanation:
Answer:
73 percent
Step-by-step explanation:
Its because 1.00 would be 100 percent and .50 would be 50 percent so .73 would be 73 percent
please help anyone PLSSSSS with my questions anyone can help me and plsss no links and pls with whole procedure pls
Answer:
In my sketch the angle between their flights is 135°
So wouldn't we just have the cosine law??
x^2 = 120^2 + 150^2 - 2(120)(150)cos135°
carry on, take care with the cos135, since it will be negative
Which of the following values of f are solutions to the inequality below?
Select all that apply.
Answer:
-4 is your answer
Step-by-step explanation:
Find the degree of this polynomial. –s5 − 4s3 + 4s2 + 5s
Answer:
Can you picture the question?
Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping. How is the amount of money Michelle spent shopping represented?
A. -45
B. -38
C. 38
D. 45
Answer:
A. -45
Step-by-step explanation:
We know that Michelle has a bank account of one hundred eighty four dollars, she then deposits thirty eight into her account, then goes shopping. Spending forty-five dollars. We are then asked the amount of money she spent being represented.
Our keyword is "spent" and "fourty-five". Why? Because these determine how much money is being taken away or added.
Since we know that spending money is decreasing the amount you have, then we would need a negative sign, and since we also know the amount she spended on is forty-five, that leads us to our answer being A. -45
Answer:
-45
Step-by-step explanation:
She uses $45 when she goes shopping so she is reducing her bank balance.
plz help solve,
velocity units are ft/min
Answer:
t = 11 min
and
t = 18 min
Step-by-step explanation:
When we have unidimensional motion, the sign of the velocity defines the direction.
So we could say that a positive velocity like:
v = 4ft/min
Means that you are moving to the right with a speed of 4 feet per minute.
And a negative velocity like:
v = -3 ft/min
means that you are moving to the left with a speed of 3 feet per minute.
Then the bug changes direction when the velocity changes of sign.
In the graph, we can see that the velocity changes of sing in two points, these points are:
t = 11 min
and
t = 18 min
What is the area of a triangle that has a base of 15 yards and a height of 11 yards?
O 165 yd 2
41.25 yd 2
O 330 yd 2
O 82.5 yd 2
Please asap
Answer:
The shape is a triangle, not a quadrilateral.
Step-by-step explanation:
A= hbb/2 = 11·15/2 = 82.5
The area of the triangle is 82.5 yd².
Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express.coordinates as fractions, using the slas
mark ( / ) for the fraction bar.
(-4,3) (-4,-3)
15. Which graph shows - 3x + y = 8
first question
Answer:
Im sorry but i can't read it
Step-by-step explanation:
Plz help me ASAP no bots plz
Answer:
...
Step-by-step explanation:
the vertex is (-1 , 0)
false
true
the domain is R (all real numbers) ( -♾, +♾ )
the range is negative infinity -♾
Rick wants to buy a tool set with original price $115. Next week the tool set will be on sale for 40% off. Find the sale price.
$
Answer:
$69
Step-by-step explanation:
$115 x 0.4 = $46 discount
$115 - 46 = $69
Answer:
$69
Step-by-step explanation:
115/100=1.15
1.15(40)=46
115-46=69
Hope this helps
CAN SOMEONE PLEASE HELP ME?
The three sides of a triangle are n, 3n+2, and 2n+10. If the perimeter of the triangle is 48m, what is the length of each side?
Answer:
the sides are 6, 20, and 22
Step-by-step explanation:
n + 3n + 2 + 2n + 10 = 48
combine like terms:
6n + 12 = 48
subtract 12 from each side of th equation:
6n = 36
divide both sides by 6:
n = 6
the sides are 6, 20, and 22
The local grocery store is having a sale on watermelons. Mr. Jackson purchases 10 watermelons for a school picnic. He pays $39.90 for the watermelons. What is the price of each watermelon?
Answer:
$3.99 per watermelon
Step-by-step explanation:
$39.90 total paid divided by 10 watermelons is $3.99
please help A video game box is shaped like a rectangular prism with the following dimensions Length = 20 in • Width = 8.25 in. • Height = 4.5 in. What is the volume of the box in cubic inches?
Answer:
V= 742.4 in³
Step-by-step explanation:
V= L x W x H = (20)(8.25)(4.5) = 742.4 in³
Solve the quadratic equation by using either a numeric or a graphic approach. x^2-14x-49=0
A. X= -11.1 or x=-12
B. X=12.3 or x=-10.82
C. X=16.9 or x=-2.9
D.X=1 or x=-3
Answer:
The answer to this question is A
Step-by-step explanation:
hasann please help me
Answer:
The length and width and height is already given.
Length is: 3 1/2
Width is: 1 1/2
Height is: 2 1/2
The volume of this would be all given lengths multiplied.
Whenever you find an area of a 3 dimensional shape you always multiply the given lengths so: 3 1/2 x 1 1/2 x 2 1/2 = 13 1/8 cm3
The average length of a flight by regional airlines in the United States has been reported as 464 miles. If a simple random sample of 30 flights by regional airlines were to have a mean of 476.9 miles and a standard deviation of 42.8 miles, what would be the test statistics (t-value) if we are to test whether this tend to cast doubt on the reported average of 464 miles or not
Answer:
The t-value is t = 1.65.
Step-by-step explanation:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
The average length of a flight by regional airlines in the United States has been reported as 464 miles.
This means that the null hypothesis is [tex]H_{0}: \mu = 464[/tex].
Simple random sample of 30 flights by regional airlines were to have a mean of 476.9 miles and a standard deviation of 42.8 miles
This means that [tex]n = 30, X = 476.9, s = 42.8[/tex]. So
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{476.9 - 464}{\frac{42.8}{\sqrt{30}}}[/tex]
[tex]t = 1.65[/tex]
The t-value is t = 1.65.
A pet rescue center takes in animals from a local shelter. Half of the animals that they take in are cats.
Let a = the total number of animals.
Let c = the number of cats.
Complete the table to show the number of cats, c, that are taken in by the pet rescue when a animals are taken in.
Answer:
1st answer =10
2nd answer=4
3rd answer=12
4th answer=8
I need help with this question what do I but in the blank for the last number
Answer:
13 cm
Step-by-step explanation:
use pythagorean theorem
someone please help me answer this!!
Answer:
-5 63/100
Step-by-step explanation:
Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its present resale value is $420,000. Assuming that the machine's resale value decreases exponentially, what will it be (in dollars) 4 years from now? (Round your answer to the nearest dollar.)
Answer:
260,000
Step-by-step explanation:
The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000
So, the value should be 260,000 (500000-240000)
Or
year 1 500000-40000=460000
year 2 460000-40000=420000
year 3 420000-40000=380000
year 4 380000-40000=340000
year 5 340000-40000=300000
year 6 300000-40000=260000
The machine's resale value Garland Mills purchased in 4 years from now will be; $353,049
What is the future value amount?
We are told that the machines present resale value is $420000. Now formula for future value is;
Future value = present value * exp(cx)
Thus;
$420,000 = $500,000 * exp(2c)
420000/500000 = exp(4c)
2c = In(420000/500000)
c = -0.087
Future value = present value * exp(cx)
Future value = $500,000 * exp(-0.087 * 4)
Future value = $353,049
Therefore, the machine's resale value in 4 years from now will be $353,049
Read more about future value amount at; https://brainly.com/question/13961729
i need help now, The rectangle and the trapezoid have the same area. What is the length l of the rectangle?
Answer:
The I is 12.
Step-by-step explanation:
You dont count the slang when you are finding the area, im not good at explaining but its basically just 12x9. 12x9=x. X is the area- aka 108. Divide 108 by the 9 in the rectangle. IM BAD AT EXPLAINING SORRY
Answer:
36
Step-by-step explanation:
(figure out length of triangle)24-12=12
(find full length of base which is equal to L of rectangle)24+12=36
