Answer:
$31.53
31 dollars 53 cents
Step-by-step explanation:
6% is equal to 0.06.
0.06 * 525.50 = 31.53.
Hope this helps
If there are 80 shirts - 30%are blue and 40%are red how many
are white
Answer:
24
Step-by-step explanation:
30%+40%=70%
100%-70%= 30%
what's 30% of 80?
80×0.3= 24
SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120 (based on data from the College Board ATP). (a) If a single student is randomly selected, find the probability that the sample mean is above 500. (b) If a sample of 35 students are selected randomly, find the probability that the sample mean is above 500. These two problems appear to be very similar. Which problem requires the application of the central limit theorem, and in what way does the solution process differ between the two problems?
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.281 = 28.1% probability that the sample mean is above 500.
b) 0.0003 = 0.03% probability that the sample mean is above 500.
In a normal distribution 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]
It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of 430, hence [tex]\mu = 430[/tex].The standard deviation is of 120, hence [tex]\sigma = 120[/tex].Item a:
The probability is the p-value of Z when X = 500, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 430}{120}[/tex]
[tex]Z = 0.58[/tex]
[tex]Z = 0.58[/tex] has a p-value of 0.719.
1 - 0.719 = 0.281
0.281 = 28.1% probability that the sample mean is above 500.
Item b:
Sample of 35, hence [tex]n = 35, s = \frac{120}{\sqrt{35}}[/tex]
Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{500 - 430}{\frac{120}{\sqrt{35}}}[/tex]
[tex]Z = 3.45[/tex]
[tex]Z = 3.45[/tex] has a p-value of 0.9997.
1 - 0.9997 = 0.0003
0.0003 = 0.03% probability that the sample mean is above 500.
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3/5 * 5/7 / 3/14 - 2/5
Answer:
3/5*5/7*14/3-2/5
8/5...
Two angels in a triangle are equal and their sum is equal to the third angle in the triangle. What are the measures of each of there interior angles?
Answer:
45°, 45°, 90°
Step-by-step explanation:
You have described an isosceles right triangle. The angle measures are ...
45°, 45°, 90°
_____
If x is the smaller angle measure, then the total of angles is ...
x + x + 2x = 180°
x = 180°/4 = 45°
Carson bought 50 pounds of rice for his restaurant. He cooked the rice and wanted to evenly divide it into 9 containers to be served later. How many pounds of rice should Carson put in each container?
help plss
Answer:
Step-by-step explanation: there you go
In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?
a. 34.8°
b.39.4°
c.50.6°
d.55.2°
1 meter is equal to 100 centimeters or 1,000 millimeters. How many millimeters are in 2 meters, 17 millimeters?
Answer:
2,017
Step-by-step explanation: 2 meters= 2,000
So, 2,000+17= 2,017
2017 millimeters are in 2 meters, 17 millimeters as per the given unit conversion rate.
What is Unit conversion?A statement of the connection between units that are used to alter the units of a measured quantity without affecting the value is called a conversion factor. A conversion ratio (or unit factor), if the numerator and denominator have the same value represented in various units, always equals one (1).
Given, 1 meter is equal to 100 centimeters or 1,000 millimeters.
To calculate the total number of millimeters in 2 meters, 17 millimeters.
Since,
millimeters in 1 meter = 1000
Thus,
millimeters in 2 meter = 2000
millimeters in 2 meters, 17 millimeters = 2017
Therefore, there is 2017 mm in 2meteres, 17 mm as per the given unit conversion.
Learn more about unit conversion here:
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A small town had a population of 960 people last year. The population grew to 1200 people this year. By what percentage did the population grow? Please show how you did the problem :)
Answer:
25%
Step-by-step explanation:
[tex] \frac{1200}{960} \times 100 \%= 1.25\% \\ [/tex]
so it increases 25%
A geologist examining a road cut at this location would recognize that Layer A is
than Layer B. This conclusion is made through the principle of
This conclusion is made through the Principle of Lateral Continuity.
The statement made is that "A geologist examining a road cut at this location would recognize that Layer A is older than Layer B."
The principle that guides this observation is that of lateral continuity which states that layers of sediment extend laterally in all directions.
This means that the new layer B is simply an extension of the older layer A.
Learn more about the Principle of Lateral Continuity here:
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Answer:
Younger, superposition
Step-by-step explanation:
The first answer is younger, because for one, it's on the top of the ground sequence, and two because the second question options all prove that answer and not the "older" one.
The second answer is superposition, which states that it goes oldest to youngest from base up.
-Lexi
X=
Y=
Find the values of X and Y
We can clearly see that the triangle is an isosceles triangle. This also means that y must equal to 180 - 115. Let's solve.
=> x + y + 180 - 115 = 180=> x + y + 65 = 180Since 180 - 115 equals 65, this means that y = 65.
=> x + 65 + 65 = 180=> x + 130 = 180=> x = 180 - 130=> x = 50Conclusion:Therefore, our answers are:
x = 50°y = 65°Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
find the perimeter of rectangle whose length is 5m 20 cm and breadth 3.5m
Answer:
17.4 sq.mStep-by-step explanation:
Given,
Length of the rectangle = 5m 20cm = 5.2m
Breadth of the rectangle = 3.5m
Therefore,
Perimeter of the rectangle
= 2(Length + Breadth)
= 2(5.2m + 3.5m)
= 2 × 8.7m
= 17.4m
Hence,
Area of the given rectangle is 17.4 sq.m (Ans)
write an expression to represent admission to a zoo of $10.00 and the cost of special exhibits s at $4 each. Evaluate you expression when s=2
Answer:
10.00 +4s .
u wanted expression , not answer.?
Step-by-step explanation:
eight and one six minus 7 and three forths
Answer:
5/12
Have a good day!
Fill in the blank f(x)=2x+1, then f(___)=13
Answer:
if f(x)=2x+1 then insert 6 in x
f(6)=2*6+1
f(6)=13
so the answer is 13
For his phone service, Bob pays a monthly fee of $30, and he pays an additional $0.05 per minute of use. The least he has been charged in a month is $91.45.
What are the possible numbers of minutes he has used his phone in a month?
Usem for the number of minutes, and solve your inequality for m.
Answer:
m ≥ 1229
Step-by-step explanation:
Use m for the number of minutes
30 + 0.05×m ≥ 91.45
0.05*m ≥ 91.45-30
0.05*m ≥ 61.45
m ≥ 1229
An open-top box is to be constructed from a sheet of tin that measures 36 inches by 20 inches by cutting out squares from each corner as shown and then folding up the sides. Let V(x) denote the volume of the resulting box.
Answer:
[tex]V(x)=4x^3-112x^2+720x[/tex]
Step-by-step explanation:
[tex](36-2x)(20-2x)x[/tex]
[tex](720-72x-40x+4x^2)x[/tex]
[tex](4x^2-112x+720)x[/tex]
[tex]4x^3-112x^2+720x[/tex]
Therefore, the resulting volume would be [tex]V(x)=4x^3-112x^2+720x[/tex]
Austin is running. The number of calories he has burned varies directly with the number of minutes he has run. See the graph below. 400 350+ 300 250 + Calories burned 200+ 150 100+ 50+ 0 20 10 30 80 Number of minutes
a) how many minutes does austin run per calories burned?
b) what is the slope of the graph?
Answer:
223454353.000000000000000000
Step-by-step explanation:
A refrigeration system of 60 kW capacity at an evaporator temperature of – 40°C and a condenser temperature of 20°C is needed in a food storage locker. The refrigerant R134a is sub-cooled by 10°C before entering the expansion valve. The vapour is 0.98 dry as it leaves the evaporator coil. The compression in the compressor is of adiabatic type.
Okie 3 more questions and I’m done with math please please please
Answer:
6x - 20 = 4x + 50
2x = 70
x = 35
Can somebody pls solve this equation my brain hurts.
b) Find the square root of 66.4225.
Answer:8.15
Step-by-step explanation: 8.15
Carter goes out to lunch. The bill, before tax and tip, was $19.55. A sales tax of 3% was added on. Carter tipped 15% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
Answer:
$3.02
Step-by-step explanation:
Convert the Percentage to decimals:
3% / 100% = 0.03
15% / 100% = 0.15
3% / 0.03 part:
19.55 * 0.03 = 0.5865
19.55 + 0.5865 = 20.1365
OR, since it was "adde on" you can just use 1.03:
19.55 * 1.03 = 20.1365
15% / 0.15 part:
20.1365 * 0.15 = 3.020475
Round to nearest cent: $3.02
---
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Simplify:
(8)214+(8)(−12)
plz help :(
A jar contains black marbles and green marbles. Sixty percent of the marbles in the jar are green. A number generator simulates randomly selecting 10 marbles from the jar. The number generator is used 12 times and the number of green marbles in each trial is shown in the dot plot.
Which description is correct about the number generator being fair or not?
The number generator is not fair. The dot plot shows 80% of the marbles drawn are green.
The number generator is fair. The dot plot shows a distribution that is skewed right.
The number generator is not fair. In most of the experiments, considerably less than 60% of the selected marbles are green.
The number generator is fair. It shows that 60% of the marbles selected are green most of the time.
Answer:
The number generator is not fair. In most of the experiments, considerably less than 60% of the selected marbles are green.
Step-by-step explanation:
Run a significant number of times, a fair distribution should be a bell curve centered on the 6 for 60%
Write 1.96 as a percent and as a fraction,
PLEASE HELP ME!!!!!
Laura earns an hourly rate of $14.50 for the first 40 hours that she works in a week. She earns one- and-a-half times her hourly rate for any hours over 10. If she earned $775.75 in one week, how many hours did she work?
a. 35.7
b. 53.5
c. 45
d. 49
Answer:
I'm not 100% sure but I believe the answer is A
The total hours of work done by Laura is 39 hours.
What are Mathematical operators?A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:
Operands: Operands are the numbers that an operator uses. The terms that are given to the operands vary according to the kind of operation.
Given the hourly income Laura = $14.50
total hours she works in a week = 40
increase in rate after working after 10 hours is 1.5 times
the hourly rate after 10 hours = 14.50 x 1.5 = $21.75
amount earned in 10 hours = 10 x 14.5 = $145
total earning = $775.75
the amount left after reducing the amount of 10 hours = 775.75 - 145 = $630.75
$630.75 is earned in = 630.75/21.75 hours = 29 hours
total hours Laura worked = 10 + 29 = 39 hours.
Hence Laura worked 39 hours in a week.
Learn more about Mathematical operators;
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help me plssssssssssssss
Answer:
C .......
Step-by-step explanation:
How much momentum does a 50 kg mass moving west at 10 m/s have?
Answer:
(a) 500 kg·m/s west
Step-by-step explanation:
Momentum is the product of mass and velocity.
p = mv
p = (50 kg)(10 m/2 west)
p = 500 kg·m/s west
A scientist crosses two pea plants that are
heterozygous for plant height and flower
color. Tall is dominant over short and purple is
dominant over white. The plant height and
Flower color genes are unlinked. Complete the
information below and the Punnett square.
Then answer the questions below.
The Punnett square is a diagram divided into squares that is used to determine genotypes.
The question is incomplete, as the required details such as the characters that represent the plant heights and the flower colors are not given.
So, I will give a general explanation instead.
Assume the plants that are crossed are represented as: TT and Tt.
The possible genotypes would be TT, TT,Tt and Tt
In the above list of genotypes, genotype T is dominant over genotype t
See attachment for an illustration of the Punnett square.
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Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
15)alternate exterior, 16) corresponding angles 17) alternate exterior 18) same side interior
19) alternate interior
Determine the intercepts of the line. Do not round your answers. 4x-3y=17
Answer:
[tex]\frac{17}4; -\frac{17}3[/tex]
Step-by-step explanation:
Option 1: check the intersection of the curve with both axis by plugging x=0 (y axis) and y=0 (x axis). You will get
[tex]x=0 \implies 0-3y=17 \rightarrow y=-\frac{17}3\\y=0 \implies 4x-0=17 \rightarrow x=\frac{17}4[/tex]
Option2: (my favourite. Divide by 17 both sides to write the equation as [tex]\frac xp + \frac yq = 1[/tex]: p and q will give you the two intercepts:
[tex]4x-3y=17 \rightarrow \frac{4}{17}x - \frac3{17}y = 1 \rightarrow \frac{x}{\frac{17}4}+ \frac{y}{-\frac{17}3}=1[/tex]
Again, the two intercepts are [tex]\frac{17}4; -\frac{17}3[/tex]
Answer:
The x-intercept is ( 17/4, 0 ), The y-intercept is ( 0, -17/3 ).
Step-by-step explanation:
The y-intercept of a graph is the point of intersection between the y-axis and the graph. Since the y-axis is also the line x = 0,x = 0 in the equation. x-value of this point will always be 0.
x-intercept of a graph is the point of intersection between the x-axis and the graph. Since the x-axis is also the line y=0 y=0y, equals, 0, the y-value of this point will always be
0.
To find the y-intercept, let's substitute x=0 y:4⋅0−3y=17
-3y=17
y = -17/3
So the y-intercept is (0, -17/3).
To find the x-intercept, let's substitute y = 0 into the equation and solve for x: 4x - (3⋅0) = 17
4x = 17
x = 17/4
So, the x-intercept is (17/4, 0).
In conclusion, The y-intercept is (0, -17/3).
The x-intercept is (17/4, 0).