Answer:
Yes
Step-by-step explanation:
A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it, but while it may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value.
The points (5,2) and (8,2) have the same y value, but their x values are different. It is a function (there are no values of x for which we have more than one value of y).
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:
Please help ASAP!!! Will give 10 pts!!
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.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
Which equation demonstrates the multiplicative identity property?
(-3+5i)+0--3+5i
(-3+5i)(1)=-3+5i
(-3+5i)(-3+5i) =-16-30i
(-3+5i)(3-5i) = 16+30i
Answer:
C (-3 + 5i) (-3 + 5i) = -16-30i
Step-by-step explanation:
EDGENUNITY
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.
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).
Solve for S
Please help me
Answer:
s = 19°Step-by-step explanation:
opposite angles = equal angles
so
106 = 6s - 8
114 = 6s
s = 114 : 6
s = 19°
--------------- check
106 = 6 * 19 - 8
106 = 106
the answer is good
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
3.
Which two expressions can be used to find the value of (36)(24)?
A (30-6)(30 - 6)
(30 + 6)(30 - 6)
C 30²- 6²
B
D302 - 360 +62
-
E 30² +62
Answer:
962
Step-by-step explanation: 30²- 6² is 962
Write 1.96 as a percent and as a fraction,
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
help me plssssssssssssss
Answer:
C .......
Step-by-step explanation:
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%
Find the whole number equal to the fraction below. Enter your answer in the
space provided.
Answer:
[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
6/2 ÷ 2/2 = 3/1
3 ÷ 1 = 3
Answer: 3
#CarryOnLearning
b) Find the square root of 66.4225.
Answer:8.15
Step-by-step explanation: 8.15
The circle graph below represents the opinions of 100 students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph:
The number of students who chose Basketball is three times the number of students who chose Other.
Ten more students chose Football than chose Hockey.
The percent of students who chose Basketball plus the percent of students who chose Football equal 65.
What percent of the students chose Basketball?
Answer:
Yo…what’s the graph?
Step-by-step explanation:
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°
Expression 26-(-17)can be rewritten as
Hey there!
The expression 26-(-17) can be rewritten as
26+17
Remember:
a-(-b)=a+bHope it helps. Use the comment section to clarify your doubts.
Answered by
~A felicitous teen who is preparing for the New Year's Day
Good luck. :-)
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.
Read more about Punnett square at:
https://brainly.com/question/15723456
eight and one six minus 7 and three forths
Answer:
5/12
Have a good day!
2x-3y=7 and y=3x-7 how do you solve this using subsitution
[tex]2x-3y = 7~~~....(i)\\\\y = 3x -7~~~....(ii)\\\\\\\text{Substitute}~ y = 3x -7~ \text{in equation (i):}\\\\\\2x-3(3x-7) = 7\\\\\implies 2x -9x + 21 =7\\\\\implies -7x = 7 -21\\\\\implies -7x = -14\\\\\implies x = \dfrac{-14}{-7} = 2\\\\\\\text{Substitute x = 2 in equation (ii):}\\\\y=3(2) -7 = 6 -7 = -1\\\\\\\text{Hence (x,y) =(2,-1)}[/tex]
Simplify:
(8)214+(8)(−12)
plz help :(
Okie 3 more questions and I’m done with math please please please
Answer:
6x - 20 = 4x + 50
2x = 70
x = 35
n is m% of what? please help its hard.
Answer:" m% = m/100. what = a variable ... "x". for example. "is" means "=". "of" means multiply. n = (m/100)•x.
Step-by-step explanation:
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
Giving brainilest! Find the measures
Answer:
the answers are <1 = 118°, <2 = 62°
Answer:
∠ 1 = 118° , ∠ 2 = 62°
Step-by-step explanation:
∠ 1 and 118° are corresponding angles and are congruent, then
∠ 1 = 118°
∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180°
∠ 2 + 118° = 180° ( subtract 118° from both sides )
∠ 2 = 62°
Can somebody pls solve this equation my brain hurts.
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°
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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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