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
divide this decimals 5.2 divided 4
Answer:
1.3
Step-by-step explanation:
5.2/4 = 1.3
To check, 1.3 multiplied by four is 5.2.
Answer:
It’s 1.3
Step-by-step explanation:
Make meeee brainliest
Answer for Brainiest, 25 points and 5 stars with thanks
Range: 71.9
Spread out above the median
The range is the biggest number minus the smallest number. This makes sense. The range here is 81.3 - 9.4 = 71.9.
Next, see the two middle groups? You can see the median, 45.5. Does the left or right side seem more spread out? It's the right side. 34.7 is closer to 45.5 than 63.6 is to 45.5.
Hope that helped,
-sirswagger21
you went to the restaurant and you paid $28 for food. you decide to tip the waiter 15% and pay tax 10%. what was the final bill after tip and tax?
==================================================
Work Shown:
15% of 28 = 0.15*28 = 4.20 is paid as a tip
10% of 28 = 0.10*28 = 2.80 is paid as tax
28+4.20+2.80 = 35 dollars is the final bill after both tip and tax are included.
what are co prime numbers
Answer:
A set of numbers or integers which have only 1 as their common factor are called co prime numbers.Answer: In number theory, two integers a and b are said to be relativley prime or co prime, if the only positive integer (factor) that divides both of them is 1.Consequently, any prime numbers that divides one does not divide the other.
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
9.6km
Step-by-step explanation:
Do 6x1.6 ÷1= 9.6km
Answer:9.6km
Step-by-step explanation: Recall BSM(big-small-multiply),so
1.6km×6
Simplify the expression to a polynomial in standard form:
(2x - 1)(-x^2+ 4x + 6)
Answer:
[tex](2x - 1)( - {x}^{2} + 4x + 6) \\ = 2x \times - {x}^{2} + 2x \times4x + 2x \times 6 \\ - 1 \times - {x}^{2} - 1 \times 4x - 1 \times 6 \\ = - 2 {x}^{3} + 8 {x}^{2} + 12x + {x}^{2} - 4x - 6 \\ = - 2 {x}^{3} + 9 {x}^{2} - 8x - 6 \\ thank \: you[/tex]
Which statement about the relationship shown in the graph is true?
Answer: The number of pounds depend on the total price.
Step-by-step explanation:
Answer: it’s c
Step-by-step explanation:
It just is also, it’s for plato
not sure how to solve this
Answer:
x=11
Step-by-step explanation:
(x+7)×7=6×(6+15)
or, 7x+49=6×21
or, 7x=126-49
or, 7x=77
or, x=11
the Marked price of a computer is rupees 30000 if it is sold after 20 percent discount and then 30% bat is levied on it find the price of the computer including vat.
if u don't know don't answer otherwise I will report u
Answer:
31200
Step-by-step explanation:
First, the starting price is 30000. We then must find the value after a 20% discount is applied. To do this, we can first convert 20% into a decimal value. That can be obtained by multiplying the percent by 1/100, so 20% * 1/100 = 0.2 . Therefore, the discount is 30000 * 0.2 = 6000 . Discounts work by subtracting the discount from the market price to get the final value, so we have
30000 - 6000 = 24000 as the value before tax.
Then, we can include the VAT, which is 30% of our new price. 30% as a decimal is 30 * 1/100 = 0.3, so we can find the tax of our product as 0.3 * 24000 = 7200. Taxes work by adding the taxed value on top of the price, so we can add 7200 to the value before tax to get 31200 as the final price including VAT
Consider the plot created from the residuals of a line of best fit for a set of data.
Does the residual plot show that the line of best fit is appropriate for the data?
Yes, the points have no pattern.
No, the points are evenly distributed about the x-axis.
No, the points are in a linear pattern.
Yes, the points are in a curved pattern.
Answer:
No, the points are in a linear pattern.
Step-by-step explanation:
Residual plot is a graph that shows the residuals on the vertices. The y-axis has residual values and x-axis has independent variables. The horizontal axis shows the independent variables to determine the best fit for a set. The graph given is in a linear pattern. The random pattern shows that linear model is good fit.
Answer:
C: No, the points are in a linear pattern
Step-by-step explanation:
edg2021
I have been seeing this question with multiple different answers, and no one is sure about anything! All I can say for sure is that IT IS NOT A! So C makes the most sense. B is simply not true, and neither is D, its not curved or evenly distribute.
Find the wrong number in the series. 1, 4, 9, 15, 25, 36, 49
Answer:
15
Step-by-step explanation:
I THINK THIS IS CORRECT
Answer:
15
Step-by-step explanation:
1x1=1
2x2=4
3x3=9
No 2 same numbers can be multiplied to give a result of 15.
5x5=25
6x6=36
7x7=49
PLS HURRY!!! Charlie made a table to show how much time he spent on activities last week . Activity Time spent (hours ) Swimming Reading Cooking Soccer On which activities did Charlie spend more than hour? PLS HURRY
Answer:
None
Step-by-step explanation:
All of the fractions listed are not a whole or more than a whole. They are all parts of a whole, therefore she did not spend more than an hour on any of them
Answer:
cooking and swimming
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Generally, the ________ the sample, the more accurately it describes the population.
A. closer
B. better
C. smaller
D. larger
Answer:
The correct answer of this question is( larger)
may this answer is helpful for you
31. Each day, Talisa exercises by first
stretching and then swimming
some laps, as shown in the table.
Make a scatter plot of the total
time she exercises as a function
of the number of laps she swims.
Draw a trend line.
Answer:
Step-by-step explanation:
Given the following :
Laps - - - - - - - - 5 - - - 6 - - - 7 - - - 8 - - - 9
Total time - - - 25 - - 28 - - 29 - - 30 - - 32
Using online graphing tool:
The y - axis named dependent variable represents the total time taken.
The x-axis, represents the number of laps.
The equation of the trend line attached to the plot is in the form :
y = mx + c
y = 1.6x + 17.6
Where y = total time taken
x = number of laps
m = 1.6 = gradient of the line (change in y / change in x)
C = 17.6 = intercept (whee the trndline intersects the y-axis).
What is the difference of the rational expressions below?
Answer:
in the pic
Step-by-step explanation:
answer A
.....
(a) How could you calculate 23 x 4 on your calculator if the 4 button is broken? (b) How could you calculate 23 x 21 if the 2 button on your calculator is broken?
Answer:
23 x 4
=> 23 x (2 + 2)
=> 23 x 2 + 23 x 2
23 x 21
=> 23 x (3 x 7)
=> (23 x 3) x (23 x 7)
23 + 23 + 23 + 23 = to get the answer of 92
23 x 2 + 23 x 2 =.92
help me im dangered plzzzzzzzzzzzzzzzzzzzz
Answer:
A
Step-by-step explanation:
Hi!
An exponent is the same thing as just multiplying the expression by itself the number of times the exponent says. So we need to multiply 1/3 by itself three times.
1/3 * 1/3 * 1/3 = 1/27
can someone please help me? this is confusing
Answer:
S=(-2, -9)
T=(-8, -9)
U=(-9, -5)
V=(-6, -5)
Step-by-step explanation:
rotating counter clockwise 90 degrees has a simple formula: (-y, x) simply take your ordered pair and rearrange it to match this formula.
ex. (3, 4) would become (-4, 3)
(-y, x) the negative symbol in front of the y means to switch the sign from either positive or negative to its opposite. since there is no symbol in front of the x you keep that numbers sign the same.
answer please lol so uh yeah
Answer:
5x=20
5x/5=20/5
x=4
Step-by-step explanation:
substitute the 5x
divide both sides by 5 it will be 20 divide by 5
answer is x =4
Does anyone know the answer plz ?
Answer:
a = 20; b = 10sqrt(3)
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
1 : sqrt(3) : 2
b = 10 * sqrt(3)
b = 10sqrt(3)
a = 2(10)
a = 20
Answer: a = 20; b = 10sqrt(3)
Answer:
a=20,[tex]b=10\sqrt{3}[/tex]
Step-by-step explanation:
SOH-CAH-TOA
Tan = O/A
Tan(60)= b/10
[tex]b=10\sqrt{3}[/tex]
Cos = A/H
cos(60) = 10/a
a=20
A student who is 5 1/4 feet tall has a shadow that is 2 feet and 10 1/2 inches long. At the same time. a flag pole has a shadow that is 10 1/2 feel long. How tall, to the nearest inch, is the flag pole?
Answer:
The height of the flag pole is approximately 19 feet and 2 inches.
Step-by-step explanation:
Let suppose that length of the shadow of the object is directly proportional to its height. Hence:
[tex]l \propto h[/tex]
[tex]l = k\cdot h[/tex]
Where:
[tex]h[/tex] - Height of the object, measured in inches.
[tex]l[/tex] - Shadow length of the object, measured in inches.
[tex]k[/tex] - Proportionality constant, dimensionless.
Now, let is find the value of the proportionality constant: ([tex]h = 5\,\frac{1}{4} \,ft[/tex] and [tex]l = 2\,ft\,\,10\,\frac{1}{2}\,in[/tex])
[tex]h = \frac{21}{4}\,ft[/tex]
[tex]h = \left(\frac{21}{4}\,ft \right)\cdot \left(12\,\frac{in}{ft} \right)[/tex]
[tex]h = 63\,in[/tex]
[tex]l = (2\,ft)\cdot \left(12\,\frac{in}{ft} \right) + \frac{21}{2}\,in[/tex]
[tex]l = 24\,in + \frac{21}{2}\,in[/tex]
[tex]l = \frac{48}{2}\,in+\frac{21}{2}\,in[/tex]
[tex]l = \frac{69}{2}\,in[/tex]
Then,
[tex]k = \frac{l}{h}[/tex]
[tex]k = \frac{\frac{69}{2}\,in }{63\,in}[/tex]
[tex]k = \frac{69}{126}[/tex]
[tex]k = \frac{23}{42}[/tex]
The equation is represented by [tex]l = \frac{23}{42}\cdot h[/tex]. If [tex]l = 10\,\frac{1}{2}\,ft[/tex], then:
[tex]l = \frac{21}{2}\,ft[/tex]
[tex]l = \left(\frac{21}{2}\,ft \right)\cdot \left(12\,\frac{in}{ft} \right)[/tex]
[tex]l = 126\,in[/tex]
The height of the flag pole is: ([tex]l = 126\,in[/tex], [tex]k = \frac{23}{42}[/tex])
[tex]h = \frac{l}{k}[/tex]
[tex]h = \frac{126\,in}{\frac{23}{42} }[/tex]
[tex]h = \frac{5292}{23}\,in[/tex]
[tex]h = 230\,\frac{2}{23}\,in[/tex]
[tex]h = \frac{115}{6}\,ft\,\frac{2}{23}\,in[/tex]
[tex]h = 19\,\frac{1}{6}\,ft \,\frac{2}{23}\,in[/tex]
[tex]h = 19\,ft\,\,2\,\frac{2}{23}\,in[/tex]
[tex]h = 19\,ft\,\,2\,in[/tex]
The height of the flag pole is approximately 19 feet and 2 inches.
match each polynomial with its degree
degree 1
degree 2
degree 3
degree 4
a.8x^2+7+1/2x^3-3 (1/2 is a fraction)
b.3x^2-2x+4
c.(x^2)^2+(x+4)^2
d.5x+5
Answer:
d
b
a
c
Step-by-step explanation:
degree 1 - 5x+5 - d.
degree 2- 3x^2-2x+4- b.
degree 3 - 1/2x^3+8x^2-3- a.
degree 4 - x^4+(x+4)^2- c
The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10
Find d when v=70
[tex] d \propto v^2[/tex]
$\implies d=kv^2$
substitute the given values, $5=k(10)^2\implies k=\frac1{20}$
now, $d=\frac{1}{20}\times( 70)^2=\frac{70\times70}{20}=245$
A big blunder from my side, now fixed!
Given:
.
• ON is tangent to Circle L at point N
ON= 6
• OQ = 3
O
6
N
3
Q
L
P
Find the length of PQ
Answer:
9
Step-by-step explanation:
By joining N to L, you will have a right angled triangle which is right angle at N. Then r^2+36=(3+x)^2. r=9/2. PQ=2r=9
What is the smallest odd multiple of 3 and 7 between 57 and 250?
Answer:
237 because it can come in both
Determine which one of the following statements is true. A. Exponential growth will always exceed linear growth. B. Linear growth will always exceed quadratic growth. C. Linear growth will always exceed exponential growth. D. Quadratic growth will always exceed exponential growth.
Answer:
A. Exponential growth will always exceed linear growth.
Step-by-step explanation:
The rate of growth of a linear function is always constant, that means it remains the same for any value of x or y. For an exponential growth, the rate of change is not constant, it continues to increase as the value of x increases. Therefore since the rate of growth of an exponential growth increases as the x value increases, while that of the linear growth remain constant there would be a point in which the exponential growth will exceed linear growth.
Simplify 6.920
A.-1
B.0
C.1
D.6.92
I'm pretty sure the answer is 6.92 cause when you simplify it you'll get that exact answer
Answer:
D 6.92
Step-by-step explanation:
6.920 and 6.92 are equal
1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the trip there was 60 mph. The average speed on the way back was 36 mph. How many hours did the trip there take?
Answer:
8 hours
Step-by-step explanation:
Given:
Sheyna drives to the lake with average speed of 60 mph and
[tex]v_1 = 60\ mph[/tex]
Sheyna drives back from the lake with average speed of 36 mph
[tex]v_2 = 36\ mph[/tex]
It took 2 hours less time to get there than it did to get back.
Let [tex]t_1[/tex] be the time taken to drive to lake.
Let [tex]t_2[/tex] be the time taken to drive back from lake.
[tex]t_2-t_1 = 2[/tex] hrs ..... (1)
To find:
Total time taken = ?
[tex]t_1+t_2 = ?[/tex]
Solution:
Let D be the distance to lake.
Formula for time is given as:
[tex]Time =\dfrac{Distance}{Speed }[/tex]
[tex]t_1 = \dfrac{D}{60}\ hrs[/tex]
[tex]t_2 = \dfrac{D}{36}\ hrs[/tex]
Putting in equation (1):
[tex]\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles[/tex]
So,
[tex]t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs[/tex]
[tex]t_2 = \dfrac{180}{36}\ hrs = 5\ hrs[/tex]
So, the answer is:
[tex]t_1+t_2 = \bold{8\ hrs}[/tex]
if x = 3+root8 find the value of :- 1/x
Answer:
Value is 3 - √8
Step-by-step explanation:
[tex]x = 3 + \sqrt{8} \\ \\ \frac{1}{x} = \frac{1}{3 + \sqrt{8} } \\ [/tex]
rationalise the denominator:
[tex] = \frac{1}{3 + \sqrt{8} } . \frac{3 - \sqrt{8} }{3 - \sqrt{8} } \\ \\ = \frac{3 - \sqrt{8} }{ {3}^{2} - {( \sqrt{8}) }^{2} } \\ \\ = \frac{3 - \sqrt{8} }{9 - 8} \\ \\ = 3 - \sqrt{8} [/tex]
Find the length of AB
Answer:
AB = 3π
Step-by-step explanation:
The formula for the circumference of a circle is:
C = 2πr
By substituting 27 for r:
C = 2π(27)
C = 54π
The whole circumference is 54π. A circle is 360º around. We can set up a proportion to find the length of the 20º arc:
[tex]\frac{360}{54p}[/tex] = [tex]\frac{20}{x}[/tex]
Cross-multiply:
360x = 1080π
Divide both sides by 360:
x = 3π
AB = 3π
Answer:
AB = 3π
Step-by-step explanation:
The arc AB can be calculated as
AB = circumference of circle × fraction of circle
The central angle is equal to the measure of arc AB = 20° , thus
AB = 2πr × [tex]\frac{20}{360}[/tex]
= 2π × 27 × [tex]\frac{1}{18}[/tex] ( cancel 18 and 27 by 9 )
= 2π × 3 × [tex]\frac{1}{2}[/tex] = 6π × [tex]\frac{1}{2}[/tex] = 3π