The weight of a small starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of 10 grams. Find the weight that corresponds to each event (round your final answers to 2 decimal places)
a. Highest 10 percent
b. Middle 50 percent
Answer:
the weight that corresponds to Highest 10% = 337.8
the weight that corresponds to Middle 50 % lies between 318.26 and 331.74
Step-by-step explanation:
From the information provided for us:
we have the mean = 325
the standard deviation = 10
The objective is to find the weight that corresponds to each event i.e for event (a) , highest 10%
So;
The probability of P (Z > z) = 10%
Same as:
0.1 = 1 - P( Z < z)
P( Z < z) = 1 - 0.1
P( Z < z) = 0.9
From the standard normal tables for z;
P( Z < 1.28) = 0.9
z = 1.28
Similarly. from the z formula; we have:
[tex]z = \dfrac{X - \mu}{\sigma}[/tex]
[tex]z \times \sigma = X - \mu[/tex]
[tex]z \times \sigma + \mu= X[/tex]
[tex]X= z \times \sigma + \mu[/tex]
X = (1.28 × 10) + 325
X = 12.8 + 325
X = 337.8
Therefore, the weight that corresponds to Highest 10% = 337.8
b. the weight that corresponds to Middle 50 % can be computed as follows:
the region of z values at 0.50 lies between -0.674 and +0.674
from the z formula; we have:
[tex]z = \dfrac{X - \mu}{\sigma}[/tex]
[tex]z \times \sigma = X - \mu[/tex]
[tex]z \times \sigma + \mu= X[/tex]
[tex]X= z \times \sigma + \mu[/tex]
X = -0.674 × 10 + 325 and X = 0.674 × 10 + 325
X = - 6.74 + 325 and X = 6.74 + 325
X = 318.26 and X = 331.74
the weight that corresponds to Middle 50 % lies between 318.26 and 331.74
Help please will give brainiest if correct
Answer:
(x + 1)^2 + (y - 1)^2 = (8.5)^2
Step-by-step explanation:
Consider the general equation of a circle:
(x - h)^2 + (y - k)^2 = (r)^2
Where (h,k) represent the center point of the circle, and r represents the radius of the circle.
For this circle, our center point appears to be at (-1,1) and the circle has a radius of 8.5.
Using this information, we simply plug these values into the general equation to get the following:
(x + 1)^2 + (y - 1)^2 = (8.5)^2
Cheers.
what is the value of the expression below when x= 5 and y= 5? 6x - 6y
Step-by-step explanation:
since, x = 5 and y = 5
we substitute the values to the equation 6x - 6y
So:
6(5) - 6(5)
= 30 - 30
= 0
I hope this helps!
Step-by-step explanation:
IS 0 thanks me latter:))!
6,926,300,000 in scientific notation.
Answer:
6.9263 × 109
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
196 degrees
Step-by-step explanation:
360-164=196 degrees
the arch CDF=2*82=164
so the arch CGF =360-164=196 degrees
Will Give Brainliest, Answer ASAP
QS=
Answer:
[tex]\boxed{\sf QS = 98}[/tex]
Step-by-step explanation:
QP = PS [Diagonals are bisected(Divided into two equal parts) by the other diagonal of parallelogram]
So,
3x - 11 = 2x + 9
3x - 2x = 9 + 11
x = 20
Now,
QS = QP + PS
QS = 3x-11+2x+9
QS = 3(20)-11+2(20)+9
QS = 60 - 11 + 40 + 9
QS = 49 + 49
QS = 98
Answer: QS=98
Step-by-step explanation: diagonals are bisected by the other diagonal parallelogram
The sum of two consecutive cube numbers is 341.
Work out the two numbers.
Answer:
see attachement
Step-by-step explanation:
10) Find the least number that must be subtracted from the following numbers to make them perfect squares. a) 1098 b) 4498
Answer:
a. 9
b. 9.
Step-by-step explanation:
a) √1098 = 33.136
33^3 = 1089
So the answer is 1098 - 1089
= 9.
b) √4498 = 67.067
67^2 = 4489
Answer = 9.
Answer:
a). 9
b). 9
Step-by-step explanation:
a) If you try to subtract 1 to 8 from 1098, it won't make a perfect square. But if you subtract 9 from 1098 (that will make it 1089), it will make a perfect square.
√1089 = 33
33² = 33 × 33 = 1089
So the answer is 9.
b). If you try to subtract 1 to 8 from 4498, it won't make a perfect square. But if you subtract 9 from 4498 (that will make it 4489), it will make a perfect square.
√4489 = 67
67² = 67 × 67 = 4489
So the answer is 9.
Hope you understand ◉‿◉ (◠‿◕)
A rhombus that is a rectangle is called
square ?
although this statement doesn't make any sense.
Answer:
Square!
Step-by-step explanation:
A rectangle is a parallelogram with all its interior angles being 90 degrees. A rhombus is a parallelogram with all its sides equal. This means that for a rectangle to be a rhombus, its sides must be equal. When this is satisfied, we have a square.
Hope helped.. If yes mark me BRAINLIEST
TYSM!
What is the result when the number 90 is decreased by 10%
Answer:
81
Step-by-step explanation:
First find the amount decrease
90 * 10 %
90 * .10
9
90 decreased by 9
90 -9
81
Answer:
81
Step-by-step explanation:
Turn into decimal.
10% = 0.1
Multiply
90 * 0.1 = 9
Subtract
90 - 9 = 81
Best of Luck!
What is the value of x, when -25(x - 4) = -55(x - 10)? A) x = 5 B) x = -5 C) x = 8 1/ 8 D) x = 15
[tex]-25(x - 4) = -55(x - 10)\\-25x+100=-55x+550\\30x=450\\x=\dfrac{450}{30}=15[/tex]
Answer:
x=15
Step-by-step explanation:
Isabelle bought some stationery. 1/3 of them were pencils. 5/8 of the remainder were erasers and the rest were ruler.The cost of the stationery is ,Pencil: $1.20 ,Eraser :$1 ,Ruler: $0.50 She spent a total of $169.50 on all the stationery. How much more did she spend on erasers than rulers.
Answer:
She spend[tex]\frac{7}{24}[/tex] more on erasers than rulers.
Step-by-step explanation:
We are given that Isabelle bought some stationery.
Fraction of pencil = [tex]\frac{1}{3}[/tex]
Remaining stationary =[tex]1-\frac{1}{3}=\frac{2}{3}[/tex]
5/8 of the remainder were erasers
So, part of eraser in stationary=[tex]\frac{5}{8} \times \frac{2}{3}=\frac{5}{12}[/tex]
Remaining stationary(rulers)=[tex]\frac{2}{3}-\frac{5}{12}=\frac{1}{4}[/tex]
Cost of ruler = $0.50
Cost of [tex]\frac{1}{4}[/tex]rulers =[tex]0.50 \times \frac{1}{4}=\frac{1}{8}[/tex]
Cost of eraser=$1
Cost of [tex]\frac{5}{12}[/tex] eraser=[tex]\frac{5}{12}[/tex]
Difference in cost of eraser and rulers =[tex]\frac{5}{12}-\frac{1}{8}=\frac{7}{24}[/tex]
Hence She spend[tex]\frac{7}{24}[/tex] more on erasers than rulers.
6 sqrt (x-2) +4 < 28
How do you solve? Btw.. x-2 is under sqrt sign.
Answer:
Step-by-step explanation:
[tex]6\sqrt{x-2}+4<28\\6\sqrt{x-2}<28-4\\\sqrt{x-2}<\frac{24}{6}\\\sqrt{x-2}<4\\\\x-2 <16\\x<16-2\\x<14x-2 \geq 0\\x\geq 2\\so~2 \leq x < 14[/tex]
m +2p; use m = 2, and p = 4
Answer:
10
Step-by-step explanation:
m + 2p
2 + 2(4)
= 2 + 8
= 10
Answer:
10
Step-by-step explanation:
m +2p;
let m = 2, and p = 4
2+2*4
2+8
10
Will Give Brainliest!!! Answer ASAP
Answer:
I will assume that ABCD is a parallelogram.
1. In a parallelogram, opposite sides are congruent so 3x = 18 which means x = 6.
2. The diagonals of a parallelogram bisect each other so BE is half of BD, therefore, BD = 7.5.
3. Consecutive angles of a parallelogram are supplementary so m∠ADC = 180° - 135° = 45°.
4. Consecutive angles of parallelograms are supplementary so 2x + 10 + 135 = 180 → 2x + 145 = 180 → 2x = 35 → x = 17.5°.
5. Again, the diagonals bisect each other so -6 + 8v = 9v - 10 → v = 4.
6. DA || BC so ∠DAC and ∠ACB are (congruent) alternate interior angles, therefore, m∠DAC = 37°.
7. The area of a parallelogram is base * height; we know base = 18 and height = 21 u so area = 378 u.
State the value of the digit 3 in 41,039
d Write: £12 and 35 pence as a decimal
Answer:
3 tens or 30
£12.35
Step-by-step explanation:
41,039
ten thousand thousands, hundreds tens ones
The three is in the tens place
3 tens or 30
£12 and 35
1p = £0.01
£12.35
What is the area of a circle with a diameter of 29 centimeters?
cm2
(Use 3.14 for Pi.)
Answer:
Step-by-step explanation:
AREA OF CIRCLE = 660.185CM^2
HOPE IT HELPS
Chris had $4 in cash, with which he purchased coffee for $0.79, a bag of chips for $1.69 and a lottery ticket for $1.00. If he does not have to pay sales tax, how much change should he receive?
Answer:
£0.79 add £1.69 add £1.00 equals £ 3. 4 8
Take away £4.00 and change is 52p
Step-by-step explanation:
An equation is formed of two equal expressions. The change that Chris would receive is $0.52.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='. while an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that Chris had $4 in cash. Also, he purchased coffee for $0.79, a bag of chips for $1.69 and a lottery ticket for $1.00. Therefore, the change he would receive is,
Change = Cash Chris has - Cost of coffee - Cost of chips - Cost of lottery
= $4 - $0.79 - $1.69 - $1.00
= $0.52
Hence, the change that Chris would receive is $0.52.
Learn more about Equation:
https://brainly.com/question/2263981
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Find the x-intercept(s) of the equation: y =3x^2-3x-6
a. x-intercepts: (-1,0) and (2,0)
b. x-intercepts:(0,-3) and (0,2)
c. x-intercept: (-6,0)
d. x-intercept: (0,-6)
Answer:
(2,0) ( -1,0)
Step-by-step explanation:
y =3x^2-3x-6
Let y = 0 and solve for x to find the x intercepts
0 =3x^2-3x-6
Factor out a 3
0 =3(x^2-x-2)
Factor inside the parentheses
0 = 3( x-2) (x+1)
Using the zero product property
x-2 =0 x+1 = 0
x=2 x = -1
(2,0) ( -1,0)
Answer:
[tex]\large \boxed{\mathrm{a. \ x-intercepts: (-1,0) \ and \ (2,0)}}[/tex]
Step-by-step explanation:
The x-intercept(s) is when y = 0.
3x² - 3x - 6 = 0
Factor left side of the equation.
3(x + 1)(x - 2) = 0
Set factors equal to 0.
x + 1 = 0
x = -1
x - 2 = 0
x = 2
The x-intercepts are (-1, 0) and (2, 0).
Use the measure of the sides of triangle ABC to classify the triangle by its sides A(-1,3) B(-3,5) C(3,2)
Answer:
The triangle is a scalene triangle that has all three sides having different lengths
Step-by-step explanation:
The given vertices (and their coordinates) of the triangle are;
A(-1, 3)
B(-3, 5)
C(3, 2)
The equation for finding the lengths of a segment, l, given the coordinates, x, y is presented as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For segment AB, when, (x₁, y₁) = A(-1, 3) and (x₂, y₂) = B(-3, 5), we have;
[tex]l = \sqrt{\left (5-3 \right )^{2}+\left (-3-(-1) \right )^{2}} = 2\cdot\sqrt{2}[/tex]
Length of segment AB = 2·√2
For segment AC, when, (x₁, y₁) = A(-1, 3) and (x₂, y₂) = C(3, 2), we have;
[tex]l = \sqrt{\left (2-3 \right )^{2}+\left (3-(-1) \right )^{2}} = \sqrt{17}[/tex]
Length of segment AC = √17
For segment BC, when, (x₁, y₁) = B(-3, 5) and (x₂, y₂) = C(3, 2), we have;
[tex]l = \sqrt{\left (2-5 \right )^{2}+\left (3-(-3) \right )^{2}} = 3 \cdot \sqrt{5}[/tex]
Length of segment AC = 3·√5
The triangle is a scalene triangle that has all three sides having different lengths.
38. What is the solution to 2(x - 6) = 14?
40. Simplify: 8(2x - 2)
HELP! answer if you can there's two questions
Answer:
x=13, 16(x-1)
Step-by-step explanation:
For 38, you have to first divide both sides by 2.
This becomes, x-6=7
Add 6 to both sides
x=13.
For 40. You can can distribute the 8.
This makes it 16x-16.
With this you can than, factor out the 16.
16(x-1).
Answer:
x =1316x-16Step-by-step explanation:
38.
[tex]2(x - 6) = 14\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\\\frac{2\left(x-6\right)}{2}=\frac{14}{2}\\\mathrm{Simplify}\\x-6=7\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\\\x-6+6=7+6\\\\x=13[/tex]
40.
[tex]8(2x - 2)\\\mathrm{Apply\:the\:distributive\:law}:\\\quad \:a\left(b-c\right)=ab-ac\\\\a=8,\:b=2x,\:c=2\\\\=8\times \:2x-8\times \:2\\\\=16x-16[/tex]
whats the answer to this problem/how to figure it out?!
6x^2+4x+8
6x7^2+4x+8
blah blah blah
ANSWER
330
pls say if im right
Answer:
330Step-by-step explanation:
[tex]6x^2 +4x +8\\x =7\\\\6(7)^2 +4(7) +8\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(7\right)^2\::\quad 49\\\\=6\cdot \:49+4\left(7\right)+8\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:6\cdot \:49\::\quad 294\\\\=294+4\left(7\right)+8\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\left(7\right)\::\quad 28\\\\=294+28+8\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:294+28+8\:\\:\quad 330[/tex]
The solutions to \[2x^2 - 10x + 13 = 0\]are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$[tex]The solutions to\[2x^2 - 10x + 13 = 0\]are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$[/tex]
In decimal form, this is equivalent to 1.25
=============================================
Work Shown:
The given equation 2x^2-10x+13 = 0 matches the form ax^2+bx+c = 0
We see that a = 2, b = -10, c = 13. Plug those values into the quadratic formula to solve for x.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-10)\pm\sqrt{(-10)^2-4(2)(13)}}{2(2)}\\\\x = \frac{10\pm\sqrt{-4}}{4}\\\\x = \frac{10\pm2i}{4}\\\\x = \frac{2(5\pm i)}{2*2}\\\\x = \frac{5\pm i}{2}\\\\x = \frac{5}{2} \pm \frac{1}{2}i\\\\x = \frac{5}{2} + \frac{1}{2}i \ \text{ or } \ x = \frac{5}{2} - \frac{1}{2}i\\\\[/tex]
The two solutions are in the form [tex]a \pm bi[/tex] where a = 5/2 and b = 1/2
Therefore a*b = (5/2)*(1/2) = 5/4 = 1.25
Write the equation for the line that passes through the points (4, 5) and
(6,9). *
O y = 2x-3
O y = 0.5x - 3
O y = 0.5x + 6
O y = 2x + 6
None of the Above
Answer:
Step-by-step explanation:
(9-5)/6-4)= 4/2= 2
y - 5 = 2(x - 4)
y - 5 = 2x - 8
y = 2x - 3 is the solution
Answer:
the answer is y = –2x – 5 hope this helps:) give brainliest if it does
Step-by-step explanation:
i got it right on edge
BRAINLIEST AND 25 POINTS THIS IS ONLY ONE QUESTION SUPER EASY AND I NEED IT IN 5 MINUTES IM SO TIRED AND STRESSED HELP
Answer:
52°
Step-by-step explanation:
360 - 33 - 165 - 20 - 90 = x
x = 52
Answer:
[tex] \boxed{52}[/tex]Step-by-step explanation:
Let's find the size of angle x
The angle in a complete turn add up to 360°
[tex] \mathsf{x + 20 + 165 + 33 + 90 = 360}[/tex]
Add the numbers
[tex] \mathsf{x + 308 = 360}[/tex]
Move constant to R.H.S and change it's sign
[tex] \mathsf{x = 360 - 308}[/tex]
Calculate the difference
[tex] \mathsf{x = 52}[/tex] °
Hope I helped!
Best regards!
Which equivalent expression will be generated by applying the distributive property and combing like terms in the expression 11+ 4(x + 2y + 4)
Answer:
Below
Step-by-step explanation:
● 11 + 4(x+ 2y + 4)
● 11 + 4x + 8y + 16
● 27 + 4x + 8y
Weight of Sea Glass in Jars
2 2 2 1 11 12 12 2 24 22 24 3 37 22
Weight in Pounds
Mason loves collecting sea glass from the beach. He recorded the weight of
each jar full of sea glass. If he decided to distribute the sea glass equally among
the jars, how much would each Jar weigh?
pounds
(Write mixed numbers as x y/z.)
Answer:
[tex]Average = 12\frac{4}{7}\ lb[/tex]
Step-by-step explanation:
Given
Number of jars = 14
Weights = 2, 2, 2, 1, 11, 12, 12, 2, 24, 22, 24, 3, 37, 22 in pounds
Required
What is the weight of each jar if the sea glass is evenly distributed
What this question implies is that, the average weight of the sea glass is calculated;
[tex]Average = \frac{Sum\ of\ weights}{Number\ of\ jars}[/tex]
[tex]Average = \frac{2+ 2+ 2+ 1+ 11+ 12+ 12+ 2+ 24+ 22+ 24+ 3+ 37+ 22}{14}[/tex]
[tex]Average = \frac{176}{14}[/tex]
[tex]Average = 12\frac{8}{14}[/tex]
Divide the numerator and denominator by 2
[tex]Average = 12\frac{4}{7}[/tex]
Hence, the weight of each jar would be [tex]12\frac{4}{7}\ lb[/tex]
I NEED YOUR HELP PLS
Answer:
For question 1 you can try dividing each of the value
For instance, you can divide 9 by 25 and see if you get a nice number
e.g. 1/8=0.125, numbers like these
For the second question, you can find the fraction by dividing 1000 starting with the decimal points
e.g 0.650, you would be plotting 650/1000 and you would simplify the fraction to the lowest value any value above the decimal point you can multiply by the denominator and add the nominator value to get your final answer.
Step-by-step explanation:
Answer:
Write the denominator in its prime factors. If the prime factorization of the denominator of a fraction has only factors of 2 and factors of 5, the decimal expression terminates. If there is any prime factor in the denominator other than 2 or 5, then the decimal expression repeats.
example: 9/25
25 = 5*5, so it will be terminating
example: 7/12
12 = 3*2*2, which contains a 3, so it will be repeating.
The password for a certain safe is indicated by multiplying (x^2-16)/(x-1) with 1 / ((x ^ 2 + 6x + 8) / (x ^ 2 + 2x-3)) . Knowing that the value of X = 9. What is the numeric value of the password.
Answer:
5.455Step-by-step explanation:
If the password for a certain safe is indicated by multiplying (x^2-16)/(x-1) with 1 / ((x ^ 2 + 6x + 8) / (x ^ 2 + 2x-3))
Simplify the expression in its lowest term first
[tex]= \dfrac{x^2-16}{x-1} * \dfrac{1}{\dfrac{x ^ 2 + 6x + 8}{x ^ 2 + 2x-3} } \\\\= \dfrac{x^2-16}{x-1} * }{\dfrac{x ^ 2 + 2x - 3}{x ^ 2 + 6x + 8} }\\\\= \dfrac{ (x+4)(x-4)}{x-1} * \dfrac{(x+3)(x-1)}{(x+4)(x+2)}\\\\= \dfrac{x-4}{1} * \dfrac{x+3}{x+2}\\[/tex]
If the value of x = 9, to get the numeric value of the password, we will substitute x = 9 into the resulting function as shown;
[tex]= \dfrac{x-4}{1} * \dfrac{x+3}{x+2}\\\\= \dfrac{9-4}{1} * \dfrac{9+3}{9+2}\\\\= \frac{5}{1} * \frac{12}{11}\\\\= \frac{60}{11}\\ \\= 5.455[/tex]
Hence the numeric value of the password is 5.455
11. House Prices In 1985, the median selling price of an
existing single-family home in Atlanta, Georgia, was
$66,200. Between 1985 and 1990, the average price in-
creased by 30%. Between 1990 and 2005, the average
price increased again, this time by 15%. What was the
median house price in Atlanta in 2005? -
Answer:
$98,969Step-by-step explanation:
$66,200 - the median selling price of a home in 1985
and the price increased by 30%:
66,200•30% = 66,200•0.3 = 19,860
66,200 + 19,860 = 86,060
$86,060 - the median selling price of a home in 1990
and the price increased by 15%
86,060•15% = 86,060•0.15 = 12,909
86,060 + 12,909 = 98,969
$98,969 - the median house price in Atlanta in 2005
if polynomial ax3 + 3x2 - 3 and 2x3 - 5x + a leaves the same remainder when each is devided by x - 4 find the valuse of a
Answer:
a = 1
Step-by-step explanation:
Given that both ax³ + 3x² - 3 and 2x³ - 5x + a have the same remainder when divided by x - 4.
x - 4 = 0
x = 4
When ax³ + 3x² - 3 is divided by x - 4, the remainder is gotten by substituting x = 4:
a(4)³+3(4)²-3 = 64a + 48 - 3 = 64a + 45
The remainder is 64a³ + 45
For 2x³ - 5x + a we find the remainder by substituting x = 4:
2(4)³ - 5(4) + a = 128 - 20 + a = 108 + a
Since they both have the same remainder, therefore:
64a + 45 = 108 + a
64a - a = 108 - 45
63a = 63
a = 1
