Check the picture below.
[tex]\stackrel{ \textit{\LARGE S} }{\cfrac{8}{4}}~~ = ~~\stackrel{ \textit{\LARGE S} }{\cfrac{12}{6}}~~ = ~~\stackrel{ \textit{\LARGE S} }{\cfrac{4}{2}}\implies \text{\LARGE 2}\qquad \textit{similar triangles by SSS}[/tex]
Space shuttle Challengerexploded because of O-ring failure shortly after it was launched. O-ring damage and temperature at time of launch for the 23 space shuttle flights that preceded the Challenger. The data is reproduced below.
Flights with O-ring damage 43 57 58 63 70 70 75
Flights with no O-ring damage 66 67 67 67 68 69 70 70 72 73 75 76 76 78 79 81
Is the mean launch temperature for fights with O-ring damage significantly less than for flights with no O-ring damage? Use 5% level of significance.
Answer:
The mean launch temperature for flights with O-ring damage is significantly lesser than Flights with No O-ring
Step-by-step explanation:
Let
Null hypothesis : H0 : μ1 ≥ μ2
Alternate hypothesis : Ha : μ1 < μ2
next calculate the test statistic
t = -2.312
calculate the P-value
p-value = T.DIST ( t ,df ) ( excel function )
= 0.0270
Given that P-value ( 0.020 ) < level of significance ( 0.05 ) we will not fail to reject the null hypothesis
Attached below is the detailed solution
Can someone help me with these two problems
Answer:
1》Arc ZWX=180+35=215
2》m<0=2×m<R
m<0=2×37
m<0=74
Hope it helps...
explanation is not right answer but I tried...would u give this a like....don't star it tho....I stopped midway....I thought in first question measure meant length of arc...not angle
Anyway first question actual answer = 180+35= 215°
second question answer= 2*37= 74 (The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference)
Step-by-step explanation:
ANSWER IS WRONG SO DONT CHECK
Angle of half circle is 180°
so <WCX + <XCY + <YCZ = 180°
35° + <XCY + 73°= 180°
108° + <XCY= 180°
<XCY= 180-108
<XCY= 72°
<WCR= <XCZ
<WCR= <XCY + <YCZ
<WCR= 72° + 73°= 145°
<ZCR= <WCX
<ZCR = 35°
Length of arc = theeta (angle)/ 360 * 2πr
length of ZWX= <ZCW +<WXC/ 360 * 2π
I stopped here
The mother of a teenager has heard a claim that 23% of teenagers who drive and use a cell phone reported texting while driving. She thinks that this rate is too high and wants to test the hypothesis that fewer than 23% of these drivers have texted while driving. Her alternative hypothesis is that the percentage of teenagers who have texted when driving is less than
Answer:
H1 : p < 0.23
Step-by-step explanation:
The parameter percentage Given in the scenario above is 23%;
Proportion = 23/100 = 0.23
The null hypothesis ; H0 will support the claim ; Hence, H0 is expressed as ;
H0 : p = 0.23
Thw alternative hypothesis ; will negative the claim of the null hypothesis ; Hence, H1 will be ;
H1 : p < 0.23
Jenny has read 193 books from the library
cookbook section. If this is 64% of the cookbook
section, how many books are in the entire
cookbook section?
A. 240
B. 300
C. 160
D. 64
Answer:
B. 300
Step-by-step explanation:
Let's take the entire number as 'x'
according to the question,
x * 64% = 193
x * 64/100 = 193
x * 64 = 193 * 100
x = 19300/ 64
x = 301.5
round down to 300
State the discriminant of 6x2-2x+K, and state for which values of K would result in two different solutions.
A..........
Step-by-step explanation:
The graph of the function g(x) is a transformation of the parent function f(x)=x².
Which equation describes the function g?
a) g(x)=(x+4)²
b) g(x)=x²+4
c) g(x)=x²−4
d) g(x)=(x−4)²
Answer:
The answer is c)
Step-by-step explanation:
g(x)=x^2-4
Please help it would be appreciated
Answer:
81 in^2
Step-by-step explanation:
Well the formula to find an area of a triangle is (bh) / 2
In this case the base is 18 and the height is 9
18*9=162
162/2=81
Answer:
81
Step-by-step explanation:
To find the area of a triangle, multiply the base (in this case 18) times the height (9). 18 times 9 is 162. Divide that by 2 to get the area of the triangle. 162/2=81
sese
Sam has a phone card that charges $1 to connect and $0 50 per minute. He also uses a cell phone that charges $3 to connect and $0.25 per
minute. In how many minutes will calls made using the phone card and the cell phone cost the same?
Answer:
8
Step-by-step explanation:
For each ordered pair, determine whether it is a solution to y=6.
Answer:
yes
no
yes
no
if their is a 6 in the y spot of the coordinate than it is a yes
1. A company has a cash portfolio measured in millions. The drift is 0.1 per month, variance is 0.16per month. The initial cash is 2.0. a) Find the probability distribution after 6 months and after 1 year. b) Find the probability of a negative cash position at the end of 6 months and the end of 1 year. c) At what time in the future is the probability of a negative distribution greatest.
Answer:
Step-by-step explanation:
From the information given:
The probability distribution at the end of 6 months is determined as follows:
After 6 months;
Mean of probability distribution = value of Initial cash + [tex]\alpha[/tex]T
=2.0 +(0.1 × 6)
=2.6
After 6 months;
The probability distribution's standard deviation is estimated by using the following formula:
Standard deviation:
[tex]= b\sqrt{T}[/tex]
[tex]= 0.4 \times \sqrt{6}[/tex]
= 0.9798
Hence, after 6 months;
The company's cash position is supposed to be allocated monthly, with the following expenses.
Mean 2.6
Standard deviation 0.9798
Variance 0.96
After 12 months, the probability distribution is as follows:
Mean = value of Initial cash + [tex]\alpha[/tex]T
= 2.0 +(0.1 × 12)
= 3.2
The standard deviation is:
The standard deviation of probability distribution = [tex]b \sqrt{T}[/tex]
[tex]= 0.4 \times \sqrt{12}[/tex]
= 1.3856
Hence, after 6 months;
The company's cash position is supposed to be allocated monthly, with the following expenses.
Mean 3.2
Sandard deviation 1.3856
Variance 1.92
b)
in 6-month distribution, the probability of the negative value of the cash position is as follows.
Now, for us to find the negative cash distribution;
We need to estimate the z -scores value.
The z-score inform us greatly on the concept of how far a particular data point is from the mean.
For a normal distribution;
[tex]z = \dfrac{x-\mu}{\sigma}[/tex]
Here;
the value of x = zero as a result that if it exceeds zero. the cash position will be negative.
∴
[tex]z = \dfrac{x-\mu}{\sigma}[/tex]
[tex]z = \dfrac{0 - 2.6}{0.9798}[/tex]
[tex]z = -2.6536[/tex]
Using the standard distribution tables, it is now possible to calculate that the likelihood N(-2.65) equals 0.004 or 0.4 percent.
As a result, there's a 0.4 percent chance of getting a negative cash balance after six months.
For 12 months distribution:
The Probability of negative cash position is calculated as follows:
[tex]z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-3.2}{1.3856} \\ \\ z = -2.3094[/tex]
Using the standard distribution tables,
N(-2.31) equals 0.0104 or 1.04 percent.
As a result, there's a 1.04 percent chance of getting a negative cash balance after 1 year
c) To determine the time period over which the likelihood of achieving a negative cash condition is highest, it's necessary to examine the z-score more closely. Essentially, the z-score measures the difference between a given value(x) and the mean of all potential values [tex](\mu)[/tex], expressed in terms of the total set's standard deviation [tex](\sigma)[/tex]
This suggests that the higher the z-score, the greater the difference occurring between x and [tex]\mu[/tex], and thus the likelihood of receiving x is minimal. As a result, the best chance of finding a certain value is when the z-score is the lowest.
To do so, calculate the derivative of the z-score in relation to the time interval. The point where the derivative is equivalent to zero is where the z-scores are at their lowest.
The first step is to go over the z-score formula in more detail, as seen below.;
[tex]z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-(initial \ value + \alpha T)}{b \sqrt{T}} \\ \\ z = \dfrac{-initial \ value }{b\sqrt{T}}-\dfrac{a \sqrt{T}}{b} \\ \\[/tex]
Now, compute the derivative of this equation with respect to T as follows:
[tex]\dfrac{dz}{dT}= \dfrac{initial \ value \times T^{-\dfrac{3}{2}}}{2b} - \dfrac{aT^{-\dfrac{1}{2}}}{2b}[/tex]
Now, figure out the value of T at which this derivative is equal to zero by substituting all values as follows:
[tex]0 = \dfrac{2.0 \times T^{-\dfrac{3}{2}}}{2\times 0.4}- \dfrac{0.1 \times T^{-\dfrac{1}{2}}}{2 \times 0.4} \\ \\ \\ 0.1 \times T^{-\dfrac{1}{2}}= 2.0 \times T^{-\dfrac{3}{2}} \\ \\ \\T = \dfrac{2}{0.1} \\ \\ \\ T = 20[/tex]
As a result, the time period in which achieving a negative cash condition is = 20 months.
The diagonals of rhombus MATH intersect at P(4,-5). If the equation of the line that
contains diagonal MT is y = -2x + 3, what is the equation of a line that contains
diagonal AH?
y = 1/2x +5
y = -1/2x-7
y = -2x + 5
y= 1/2x - 7
Answer:
D. y = 1/2x - 7Step-by-step explanation:
The diagonals of a rhombus are perpendicular:
MT ⊥ AHWe have the equation for MT:
y = -2x + 3Perpendicular lines have negative-reciprocal diagonals, therefore AH has slope of 1/2.
Since AH passes through point (4, -5), the equation of the line is:
y - (-5) = 1/2(x - 4)y = 1/2x - 2 - 5y = 1/2x - 7Correct choice is D
2 kg 91 g = __________ g
Answer:
2091 grams
Step-by-step explanation:
1000 g = 1kg
2*1000 = 2000g + 91g = 2091 g
Answer:
2kg 91 g = _2091_ g
Step-by-step explanation:
Conversion factor: 1 kg = 1000 g
1) kg = g / 1000
2) kg = 2091 / 1000
3) kg = 2.09
200 miles divided by 8
Answer:
25
200 divided by 8 is 25.
Step-by-step explanation:
2. The area A of a circle is increasing at a constant rate of 2.5cm s . If the area of the circle is given
by A = πr2, what is the rate of change of the radius when the radius is 15cm?
Answer:
235.65 cm^2s-1
Step-by-step explanation:
We have that;
Rate of change of area (dA/dt) = (dA/dr) (dr/dt) By chain rule
Note that dr/dt = rate of change of radius
But
A = πr^2
dA/dr = 2πr
dr/dt = 2.5cm s-1 (given)
So;
dA/dt = 2πr * 2.5cm s-1
r = 15cm (given)
dA/dt = 2 * 3.142 * 15cm * 2.5cm s-1
dA/dt = 235.65 cm^2s-1
Pls help me , ASAP , TIA
Answer:
Step-by-step explanation:
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
BRAINLIEST FOR ALL 3 CORRECT ANSWERS, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
1. quarter turn 2. B 3. (b,-a)
Step-by-step explanation:
Math 3rd grade can anyone explain why is 48 ?? I thought that we need to plus 6 top 6 bottom and each side is 8 why 8 because 6+2 is 8
So 6+6+8+8 = 24
Answer:
It's 48
Step-by-step explanation:
The entire area of the rectangle would be length times width
The width is six, and the length is 8
6 times 8 is 48
btw, its asking for area
Answer:
See, its divided into TWO squares/rectangles.
you have to solve with the numbers you have on each one.
so, for the covered in shade one, you do 6 times 2, which is 12.
for the "not covered" you need to find the second number for the square. Since it has equal sides, the other side will be 6.
for that one you do 6 times 6 which is 36.
now you add both of them.
36 + 12= 48.
You added them, you need to multiply them but do not mix both rectangles/ squares numbers until the end
How many cards are in a standard deck of cards? What are their colors?
Answer:
52 cards
Step-by-step explanation:
the colors I am not sure of thought sorry
Can you guys help me real quick please
Answer: I believe the answer is 23k.
Step-by-step explanation:
Please help me..........
Answer:
I think it's 4.5
Step-by-step explanation:
I divided the servings by the packages and I got 4.5 for each of them.
Research studies show that the relationship between the tire pressure of a vehicle's tires and the life of the tires is
quadratic. The following table shows data for the tire pressure of a car's tires (in pounds per square inch) and its
average tire life (in thousands of miles)
Tire Pressure Tire Life
29
46.8
32
576
34
58.8
36
60.0
38
58.8
40
57.0
42
52.8
Use a graphing or online regression calculator to find the quadratic function of best fit for this set of data. Then predict
the tire life for this vehicle's tires given that the tire pressure is maintained at 30 psi (pounds per square inch)
47.800 miles
48.800 miles
Answer:
i dont know what is that explain that
You have one chance in ten of winning the race.
Answer:
1/10?
Step-by-step explanation:
okay...
9 A right rectangular prism
What is the volume, in cubic meters, of the prism?
Answer:
D. 203
Step-by-step explanation:
volume= width X height X length
volume= 8 X 7 1/4 X 3 1/2
volume= 203
True or False
Can the expression (2x-2) +2 be read as the sum of two terms?
A rectangular prism has a length of 5 centimeters, a height of 6 centimeters, and a width of 9 centimeters. What is its volume, in cubic centimeters?
Answer:
270 cubic centimeters
Step-by-step explanation:
To find the volume you multiply the lenght times width times hight. So 5x6 is 30. 30x9=270
Solve each equation by completing the square :
Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Boys
Girls
Total
Play a sport
95
76
171
Do not play a
sport
45
59
104
A. Yes, they are independent, because P(girl)
a sport) ~0.62
Are being a girl and playing a sport independent events? Why or why not?
B. Yes, they are independent, because P(girl)
a sport) -0.44
Total
C. No, they are not independent, because P(girl) 0.49 and
P(girl plays a sport) ~ 0.62.
140
135
275
0.49 and Pigirl | plays
0.49 and P(girl plays
D. No, they are not independent, because P(girl)-0.49 and
Pigirl plays a sport)~0.44.
Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.
Let's consider the probabilities:
P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49
P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276
If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:
P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524
However, the actual joint probability is different from the expected value:
P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276
Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.
Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.
For more questions on events
https://brainly.com/question/29782219
#SPJ8
Find the missing measure in a right triangle if a= 9 ft and b = 12 ft.
Answer:
c = 15 ft
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
c^2 = 225
c = √225
c = 15 ft
PLEASE ANSWER ASAP! 15 POINTS ! NO SCAM LINKS OR REPORTED :)
Answer: C
Step-by-step explanation: You have to plug in the values to see if it matches the values on the table of values
Trace this composite figure.
2 cm
2 cm
4 cm
h
5 cm
3 cm
6 cm
Answer:
The answer is 6cm
Step-by-step explanation:
2cm(the one on top) and 4cm are directly opposite the unknown side which is the same when being cut horizontally so therefore the unknown side is equal to 2cm+4cm which is = 6cm