Answer:
...
Step-by-step explanation:
its 1/2
5/10 in simplest form is 1/2
so this is how long she took as a fraction...
72°
Х
X=
degrees.
please help
Answer:
18° lol it's too easy
Step-by-step explanation:
180-(90+72)
=180-162
=18°
Answer:
18 Degree
Step-by-step explanation:
all triangles the inside angle sum is 180 degree
so
72+90+x=180
162+x = 180
x= 180-162
x=18 degreeSteve has 7 biscuits in a tin. There are 3 digestive and 4 chocolate biscuits. Steve takes two biscuits at random from the tin. Work out the probability that he chooses two different types of biscuits.
Answer:
3 propability because your just trying to find out how many times he can get two different tyes of biscuits. So your answer is 3
Step-by-step explanation:
I hope this helps!!!
The mean of a population is 74 and the standard deviation is 15. The shape of the population is unknown. Determine the probability of each of the following occurring from this population. Appendix A Statistical Tables a. A random sample of size 36 yielding a sample mean of 78 or more b. A random sample of size 150 yielding a sample mean of between 71 and 77 c. A random sample of size 219 yielding a sample mean of less than 74.2Incorrect. The mean of a population is 74 and the standard deviation is 15. The shape of the population is unknown. Determine the probability of each of the following occurring from this population. Appendix A Statistical Tables a. A random sample of size 36 yielding a sample mean of 78 or more b. A random sample of size 150 yielding a sample mean of between 71 and 77 c. A random sample of size 219 yielding a sample mean of less than 74.2
Answer:
a) 0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.
b) 0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.
c) 0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean of a population is 74 and the standard deviation is 15.
This means that [tex]\mu = 74, \sigma = 15[/tex]
Question a:
Sample of 36 means that [tex]n = 36, s = \frac{15}{\sqrt{36}} = 2.5[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 78. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{78 - 74}{2.5}[/tex]
[tex]Z = 1.6[/tex]
[tex]Z = 1.6[/tex] has a pvalue of 0.9452
1 - 0.9452 = 0.0548
0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.
Question b:
Sample of 150 means that [tex]n = 150, s = \frac{15}{\sqrt{150}} = 1.2247[/tex]
This probability is the pvalue of Z when X = 77 subtracted by the pvalue of Z when X = 71. So
X = 77
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{77 - 74}{1.2274}[/tex]
[tex]Z = 2.45[/tex]
[tex]Z = 2.45[/tex] has a pvalue of 0.9929
X = 71
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{71 - 74}{1.2274}[/tex]
[tex]Z = -2.45[/tex]
[tex]Z = -2.45[/tex] has a pvalue of 0.0071
0.9929 - 0.0071 = 0.9858
0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.
c. A random sample of size 219 yielding a sample mean of less than 74.2
Sample size of 219 means that [tex]n = 219, s = \frac{15}{\sqrt{219}} = 1.0136[/tex]
This probability is the pvalue of Z when X = 74.2. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{74.2 - 74}{1.0136}[/tex]
[tex]Z = 0.2[/tex]
[tex]Z = 0.2[/tex] has a pvalue of 0.5793
0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2
WILL GIVE 100 POINTS AND BRAINLIEST! Prove that the square of the second number out of three consecutive odd numbers is four greater than the product of the first and the third numbers.
Answer:
Let's choose the three odd consecutive numbers 1, 3, and 5.
3^2=9
1•5=5
9-5=4
Let's try the same thing, but with the numbers 101, 103, and 105.
103^2=10609
101•105=10605
10609-10605=4
So, yes, the square of the second number out of three consecutive odd numbers is four greater than the product of the first and the third numbers.
Pick 3 consecutive odd numbers:
3, 5, 7
Square the 2nd number: 5 ^ 2 = 25
Multiply the first and 3rd:
3 x 7 = 21
25-21 = 4
This is true.
Try another set of numbers:
9, 11, 13
11^2 = 121
9 x 13 = 117
121-117 = 4
Again it’s true.
6) Find the LCM of 3 and 7.
• Which of these numbers are multiples of 3? Choose ALL that apply.
1
2
3
4.
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
Answer:
Multiples of 3 are (3, 6, 9, 12, 15, 18, 21, 24)
LCM of 3 and 7 is 21
Answer:
the lcm of 3,7 is 21
Step-by-step explanation:
Find the prime factorization of 33=3
Find the prime factorization 0f 77=3
Multiply each factor 3x7=21
Gus applied for a $12,000 loan with an interest rate of 7.3% for 5 years. Use the monthly payment formula to complete the statement. M = M = monthly payment P = principal r = interest rate t = number of years His monthly payment for the loan will be $ , and the total finance charge for the loan will be $ .
Answer:
239.32 and 2359.20
Step-by-step explanation:
just completed this test dawg
Answer:
His monthly payment for the loan will be $
239.32,
and the total finance charge for the loan will be $
2,359.20.
Step-by-step explanation:PLATO
Hey I need you guys' help
Answer: 120 kids were surveyed
And 20 kids chose stuffed animal
Step-by-step explanation: hope this help
Answer:
120 were surveyed and about 16%(16.6666%) chose stuffed animal
Step-by-step explanation:
Solve for P, WILL GIVE BRAINLIEST
Answer:
p = 37°Step-by-step explanation:
ΔABD ≅ ΔAEC because:
AB = AE = 10AD = AC = 17∠A is common and congruent to itselfWe have two sides and the included angle congruent - SAS
Corresponding parts of congruent figures are congruent:
∠C ≅ ∠D = p°Now, ∠CED is exterior angle and exterior angle is same as sum of non-adjacent interior angles:
m∠CED = m∠A + m∠C79° = 42° + p°p = 79° - 42°p = 37°good morning please help me im in desperate need thxs
Answer:
Should be 4/7
Hope it helps have a good day!
I have 6 yard of ribbon i want to make ornaments that use 1/4 yard each how many ornaments can I make
Answer:
24
Step-by-step explanation:
It take 4 to make one yard and you need six yards soo..
6 x 4 = 24
Answer:
24 ornaments
Step-by-step explanation:
[tex]\frac{1}{4} = 25%[/tex]%
6 yards x 0.25 = 1.5 yards
[tex]\frac{6}{0.25} = 24[/tex] ornaments
to check:
24 ornaments x 0.25 yards each = 6 yards in total
x + y = 7
2x - 3y = -21
Answer:
one solution
Step-by-step explanation:
Step: Solvex+y=7for x:
x+y+−y=7+−y(Add -y to both sides)
x=−y+7
Step: Substitute−y+7forxin2x−3y=−21:
2x−3y=−21
2(−y+7)−3y=−21
−5y+14=−21(Simplify both sides of the equation)
−5y+14+−14=−21+−14(Add -14 to both sides)
−5y=−35
−5y
−5
=
−35
−5
(Divide both sides by -5)
y=7
Step: Substitute 7 for y in x=−y+7:
x=−y+7
x=−7+7
x=0(Simplify both sides of the equation)
y = 7, x = 0
HURRY I NEED THE ANSWER
Answer:
i think it's the 2th one not sure tho
Guys please help me thank you!
Answer:
x = 16 2/3
Step-by-step explanation:
The two triangles in the picture are similar, which means that the corresponding side lengths on each of them are proportional - the ratios between them are equal to each other.
On the larger triangle, let's pick the pair of lengths 25 and 39. The corresponding pair on the triangle has the lengths x and 26. Similarity then tells us that the ratios, 25/39 and x/26, are equivalent. All that's left to do now is set up an equation and solve for x:
[tex]\frac{25}{39}=\frac{x}{26}[/tex]
multiplying both sides of the equation by 26 gives us
[tex]26\left(\frac{25}{39}\right)=x[/tex]
We can do a little reduction here: 26 and 39 have a common factor of 13, and since 26 = 13 x 2 and 39 = 13 x 3, the expression on the left reduces to
[tex]2\left(\frac{25}{3}\right)=x[/tex]
We can rewrite 25/3 as the mixed number 8 1/3, making our equation
[tex]2\left(8\frac{1}{3}\right) =x[/tex]
So finally, we have [tex]x=16\frac{2}{3}[/tex]
write the coordinates of the vertices after a reflection over the line y = x
Q(-4,6) --> Q'(. ,. )
R(-4,8) --> R'(. ,. )
S(1,8) --> S'(. ,. )
T(1,6) --> T'(. ,. )
Answer:
what ?? I couldn't understand
How can you use graphs, tables and equations to compare functions
5x+2 (6x-2) =98
For algebra two
Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Answer:
2 and 4
Step-by-step explanation:
pleaseeeee help me!!!!! i’ll appreciate it so much!
Answer:
Step-by-step explanation:
∠Y = ∠P, so AY = AP
Perimeter = AY + AP + 13 = 43
AY + AP = 30
∠Y = ∠P, so AY = AP
AP = 30/2 = 15
6. A population of Florida fire ants grows at a rate of 8% a year. If there are 320 fire ants in
the initial population, find the sum of the geometric series after six population rotations.
PLZZZ HELP
Answer: 1920
Step-by-step explanation:
C=35.50-0.07x
PLEASE ANSWER
Answer:
-x3
Step-by-step explanation:
WILL GIVE BRAINLIEST
If there are 2 boys and 3 girls in a group. What is the ratio of girls to boys? Express the ratio in 3 different ways. ( Place commas in between each way )
Answer:
2 to 3, 4 to 6, 8 to twelve
Step-by-step explanation:
the boys are first, girls second
Answer: 3:2 ... 9:6... 27:18 you can put 81:54 too
Step-by-step explanation:
write 7/8 as a mixed number
The ratio of male students to female students in a class is 5:4. If the number of male students in the class is
25, predict the number of female students?
Answer:
The answer is 20
Step-by-step explanation:
In ratio what you do one side you do on the other side 5:4=25:20
5×5=25
4×5=20
What is x in 1/150/1/200x2=x
Answer:
6.66666667E-5
hope this helped a bit!
Question 4(Multiple Choice Worth 4 points)
(7.02)
What is the value of q in the equation 5q- 10 = 75?
017
O 60
65
O 85
Answer:
17
Step-by-step explanation:
divide by 5 both side and q will be:
q-2=15 then take 2 to the other side which will be positive . therefore
q=17
Configurative Area Problems
Find the area of the shaded region.
BRAINLIEST
Answer:
78.54 cm
formula: A= pi x r^2
4
how would I find the area and perimeter
The little lines through the 4 sides mean all the sides are the same length.
The area is side x side = 8 x 8 = 64 square cm.
Perimeter is the sum of the 4 sides = 8 + 8 + 8 +8 = 32 cm.
Answer:
Perimeter
P =a+a+a+a =4a
P = 4*8
P=32cm
Area
A = a*a = [tex]a^{2}[/tex]
A = [tex]8^{2}[/tex]
A = 64[tex]cm^{2}[/tex]
I Need help ASAP will mark the brainliest
Answer:
EG and QM
Step-by-step explanation:
SAS or side angle side
so to start evaluate what u have already
EF =QN means that the two sides are congruent
then <MQN = <GEF
the angle Q is = to angle E
so fid the next two sides that fit the pattern or EG and QM
wich expression has a value of 1/36
(1/108)3
(1/18)2
(1/6)2
(1/2)6
Answer:
(1/6)2
Step-by-step explanation:
(1/6)2 has a value of 1/36
a car has a tire radius of 36 cm. a stone gets stuck how many times will it hit the ground when the car travels a distance of 1 kilometer. PLS show your work
Answer:
2777 times
Step-by-step explanation:
You can choose to convert however you like, as long as you divide when they have the same units.
1km = 1000m = 100000cm
36cm = 0.36m = 0.00036
Hence, 1000m÷0.36m = 2777.77777...
Round down to 2777
The stone will hit the ground approximately 442 times when the car travels a distance of 1 kilometer.
What is speed?Speed is the measure of how quickly an object travels a certain distance. It is defined as the distance traveled by an object divided by the time taken to travel that distance.
The unit of speed is typically meters per second (m/s) or kilometers per hour (km/h), although other units may also be used depending on the context.
Assuming that the stone is stuck at the bottom of the tire and remains there, the stone will hit the ground every time the tire makes a complete rotation. The circumference of the tire is given by:
C = 2πr
where r is the radius of the tire. Substituting the given value of r = 36 cm, we get:
C = 2π(36) cm ≈ 226.19 cm
Therefore, the tire travels a distance of approximately 226.19 cm with each complete rotation. To find out how many times the stone will hit the ground when the car travels 1 kilometer, we need to convert 1 kilometer to centimeters:
1 kilometer = 1000 meters = 1000 x 100 centimeters = 100000 cm
Dividing the distance traveled by the circumference of the tire, we get:
100000 cm ÷ 226.19 cm/rotation ≈ 442.28 rotations
Therefore, the stone will hit the ground approximately 442 times when the car travels a distance of 1 kilometer.
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