Answer:
the probability of obtaining a favorable outcome increases as the number of trials increases
Step-by-step explanation:
The law of large numbers occupies an important place in probability statistics especially as it regards the outcome of experiments.
A simple statement of this law is that; when an experiment is independently repeated a large number of times, the average result, that is obtained is close to the expected value.
Hence, the probability of obtaining a favorable outcome increases as the number of trials increases.
Simplify the given equation.
6 - (3x + 10) + 4(2 - x) = 15
Options:
4 - 7x = 15
4 - 4x = 15
12 - 7x = 15
Answer:
4 - 7x = 15
Step-by-step explanation:
I think not sure
URGENT
What is the equation of the line that passes through the point ( -2, 7) and has a slope of zero?
Answer:
y=7
Step-by-step explanation:
When ever the slope is 0, the line is completely flat. This means that the equation has the same y for every point.
The y on the point given is 7, therefore the answer is y=7.
What is the equation of the line that passes through the point (-2,5) and has a slope of -6
Answer:
y = -6x - 7
Step-by-step explanation:
y = mx + b
5 = -6(-2) + b
5 = 12 + b
b = -7
y = -6x - 7
13
214
517
68
Which of the following angles are
congruent to 25? Select all that
apply.
А.
21
с
23
B
22
D 24
Answer:
D is answer
Step-by-step explanation:
please follow me
please reply fast..............
Which expression is equivalent to 42 + 49?
Answer:
91?
Step-by-step explanation:
You don't have any pictures attached or anything so I don't get a full understanding of what you are trying to say, anyways Have a good day! :)
One important test for kidney disease involves measuring the levels of bicarbonate (HCO−3) in blood. Normal bicarbonate levels for a person ranging in age from 18 to 59 years old is 23–29 mmol/L. A lab purchased a new instrument to measure bicarbonate levels in blood and needs to certify it against their current instrument. The bicarbonate levels in the blood of a 38 year old woman was measured using the old and new instrument. The blood was tested 6 times using each instrument. The mean concentration of bicarbonate using the old instrument was found to be 24.6 mmol/L with a standard deviation of 1.56 mmol/L. The new instrument yielded a mean concentration of 25.9 mmol/L with a standard deviation of 0.54 mmol/L. Determine if there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95% confidence level. Determine the value of Fcalc.
Answer:
Yes there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95%
[tex]F_{calc} = 8.3457[/tex]
Step-by-step explanation:
From the question we are told that
The normal bicarbonate level is k = 23-29 mmol/L
The number of times the blood was tested is n = 6
The mean concentration for old instrument is [tex]\= x_1 = 24.6\ mmol/L[/tex]
The standard deviation is [tex]\sigma_1 = 1.56\ mmol/L[/tex]
The mean concentration for the new instrument is [tex]\= x_2 = 25.9 mmol/L[/tex]
The standard deviation is [tex]\sigma_2 = 0.54 mmol/L[/tex]
The confidence level is 95%
The level of significance is mathematically represented as [tex]\alpha = (100 - 95)\%[/tex]
[tex]\alpha = 0.05[/tex]
Generally the test statistics is mathematically represented as
[tex]F_{calc} = \frac{\sigma_1 ^2}{\sigma_2^2}[/tex]
=> [tex]F_{calc} = \frac{1.56^2}{0.54^2}[/tex]
=> [tex]F_{calc} = 8.3457[/tex]
Generally the degree of freedom for the old instrument is is mathematically evaluated as
[tex]df = n -1[/tex]
=> [tex]df = 6 -1[/tex]
=> [tex]df = 5[/tex]
Generally the degree of freedom for the new instrument is is mathematically evaluated as
[tex]df_1 = n -1[/tex]
=> [tex]df_1 = 6 -1[/tex]
=> [tex]df_1 = 5[/tex]
For the f distribution table the critical value of [tex]\alpha[/tex] at df and [tex]df_1[/tex] is
[tex]F_{tab} =5.0503[/tex]
Generally given that the [tex]F_{calc} > F_{tab}[/tex] it means that there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95%
State what additional information is required in order to know that the triangles are congruent
for the reason given.
Only for 5 and 6
Answer:
Step-by-step explanation:
5). Reason for the congruence is given as SSS.
"Property SSS for the congruence of two triangles states that all three sides of the triangles must be congruent."
In the given triangles ΔMLN and ΔULN,
ML ≅ LU [given]
NL ≅ NL [Reflexive property]
To fulfill SSS property third sides of the given triangles should be given as congruent.
Therefore, additional information required will be MN ≅ NU
6). SAS property of congruence states that "two sides and included angle between these sides of two triangles must be congruent"
From the given triangles ΔPWS and ΔVXW,
PW ≅ VW [Given]
∠PWS ≅ ∠XWV [Vertically opposite angles]
Therefore, to fulfill the property of SAS additional information required will be,
SW ≅ WV
On a scale drawing of the front of a square earring, each side of the earring is 3.2cm. The scale from the earring to the drawing is 4mm to 2cm. What is the area of the front of the actual earring?
40.96 mm
3.2(10) = 32; 3.2 cm → 32 mm
each side of scale drawing is 32 mm
2(10) = 20; 2 cm → 20 mm
scale is 4 mm to 20 mm
[tex]\frac{4}{20}= \frac{x}{32}[/tex]
cross-multiply:
32(4) = 128
128 / 20 = 6.4
each side of the actual drawing is 6.4 mm.
6.4 * 6.4 = 40.96
40.96 mm
40.96 mm
What is scaling ?
It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.
It is given that the scaling of drawing is 4mm to 2cm of actual drawing and the scaled drawing side of square earring is 3.2cm.
Now, corelating the scale given which means for 1mm of actual side of earring the drawing scale is 0.5 cm or 5mm. Therefore, for having 3.2 cm of side of earring in drawing let [tex]x[/tex] be the actual side this is calculated below :
[tex]\begin{aligned}20 \text{mm}&\rightarrow 4\text{mm}\\32\text{mm}&\rightarrow x\text{\:mm}\\\frac{4}{20}&=\frac{x}{32}\\x&=6.4 \text{mm}\end{aligned}[/tex]
Now, the actual side of earring is 6.4 mm therefore, the area of the front of earring will be : 6.4 mm x 6.4 mm =40.96 mm
Read more about ratio at:
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If $a:b = 1:3$ and $b$ is a positive, one-digit integer, what is the greatest possible value of $a$?
=========================================
Work Shown:
a:b = 1:3
a/b = 1/3
a*3 = b*1 ... cross multiply
3a = b
b = 3a
Since b is a one digit number, this means that the largest it can get is 9
[tex]b \le 9\\\\3a \le 9\\\\a \le \frac{9}{3}\\\\a \le 3[/tex]
The largest possible value of 'a' is 3
Which number produces an irrational number when multiplied by 0.5
A.
[tex] \sqrt{16} [/tex]
B. 0.555...
C.
[tex] \sqrt{3} [/tex]
D. 1/3
Answer:
C. √3
Step-by-step explanation:
When one of the factors is a rational number (0.5), the product will be irrational if, and only if, the other factor is irrational.
Of the numbers offered, only √3 is irrational.
√3 will produce an irrational product when multiplied by 0.5.
__
The other values are all rational:
A: 4
B: 5/9
D: 1/3
What is the justification for step 2 in the solution process?16-5x=1-4x; -5x=-4x-15; -x=-15
Answer:
Addition Property Of Equality
Step-by-step explanation:
The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.
Step 1: -5x = -4x -15
Step 2: -x = -15
Answer:
the addition property of equality
Step-by-step explanation:
The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.
The retail price of a smartphone is $600. You purchase the phone by making 24 equal monthly payments. How much is the amount of each payment.
Answer:
$25
Step-by-step explanation:
Answer:
You will be making 25$ payments each month
Step-by-step explanation:
600/24 = 25
(WILL GIVE BRAINLIEST ASAP) A service that repairs televisions sells maintenance agreements for $10 a year. The average cost for repairing a
television is $34 and 5 in every 100 people who purchase maintenance agreements have televisions that require repair.
Find the service's expected profit per maintenance agreement.
$8.30
$8.64
$9.95
$9.66
Let p: x = 4
Let q: y = -2
Which represents "If x = 4, then y=-2
what is midpoint if tu =4× and uv =X +9
Answer:
12Step-by-step explanation:
Given
TU = 4xUV = x + 9Finding the value of x
TU = UV4x = x+93x = 9x = 3Midpoint = 4x = 4*3 = 12
A football coach needs to divide 48 players into two groups. He wants the ratio of the players in group 1 to players in group 2 to be 3. How many players in group 2?
Answer:
45
Step-by-step explanation:
A ratio shows us the number of times a number contains another number. The number of players in group 2 is 12.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that the coach wants the ratio of the players in group 1 to players in group 2 to be 3. Therefore, the ratio can be written as,
Number of players in group1/Number of players in group2 = 3/1
Multiply the numerator and the denominator of the ratio by x,
Number of players in group1/Number of players in group2 = 3x /1x
Now, the total number of players can be written as,
3x + x = 48
4x = 48
x = 48/4
x = 12
Further, the number of players in group 2 can be written as,
Number of players in group2 = x = 12
Hence, the number of players in group 2 is 12.
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Taliyah drives 120 miles in 3 hours. At the same rate, how far will she drive in 5 hours?
Answer:
200 Miles
Step-by-step explanation:
120 miles divided by 3 hours = 40 miles
40 miles x 5 hours = 200 miles
What are two ways or more to calculate slope and what is the difference between them?
Answer:
one way.
k=y2-y1 / x2-x1
I need help on this ASAP
Answer:
ITZ A
Step-by-step explanation:
3. Use properties of equality to solve the equation for w. 2(w+3) = -2(w-21)
Answer:
w = 9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
:)
(50 points!) Find the missing angles.
if DE=3x+7, EF=2x-3 and DF=7x-9, find DF
Answer:
So -63 isn't the right answer. It is either 6.5 or 13/2 based on how your teacher wants the answer.
Step-by-step explanation:
I did the work to show you how i got there. It is definitely not -63. I hope this helps!
Answer:
jygyygyutyu
Step-by-step explanation:
What is the GCF of two prime numbers?
Group of answer choices
A. 1
B. The second number
C. The last number
D. 0
Answer:
A. 1
Step-by-step explanation:
prime numbers are not subject to any factors other then themselves and 1
HELP PLEASEE EASY QUESTION
Which statements are true about the polynomial function?
f(x)=x3−x2−4x+4
Select each correct answer.
f(x)=0 when x=−1 .
f(−1)=0
(x−1) is a factor of f(x) .
f(x) divided by (x−1) has a remainder of 0.
Answer:
D. f(x) divided by (x−1) has a remainder of 0.
C. (x−1) is a factor of f(x) .
Step-by-step explanation:
Just took a test with this question these are the answers!
The statements that are true about the polynomial function are;
(x−1) is a factor of f(x). f(x) divided by (x−1) has a remainder of 0.Given the polynomial function [tex]f(x)=x^3-x^2-4x+4[/tex]
If x = -1, hence;
[tex]f(-1)=(-1)^3-(-1)^2-4(-1)+4\\f(-1)=-1-1+4+4\\f(-1)=-2+8\\f(-1) =6[/tex]
This shows that f(x) ≠ 0 when x = −1 .
To check if x - 1 is a factor, we will substitute x = 1 into the function and check if the result is zero as shown:
[tex]f(1)=1^3-1^2-4(1)+4\\f(1)=1-1-4+4\\f(1) =0[/tex]
This shows that (x−1) is a factor of f(x).This also shows that if f(x) divided by (x−1) has a remainder of 0.
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Devin has 39 toy blocks. What is the value of the digit 9 in the number
Answer:
The value of the digit 9 is in the ones place.
Step-by-step explanation:
1 Hundreds
1 Tens
1 Ones <----------------
. Decimal point
1 Tenths
1 Hundredths
1 Thousandths
Bradley sold at least 127 juices and coffees. He sold 9 more juices than coffees. What is the minimum amount of coffees Bradley could have sold? Enter your answer in the box.
Answer:
59 coffees
Step-by-step explanation:
c + j >= 127
j = 9 + c
c + 9 + c >= 127
2c + 9 >= 127
2c >= 127-9
2c >= 118
c=59,
check by 59× 59 + 9 = 127
Helppppppppppppppppppppppppp
Answer:
B
Step-by-step explanation:
Step 1: Translate word to math
"Five" = 5
"less than" means subtraction
"quotient" means division
"a number" = n
"and" means with (in this case)
"3" = 3"
"is" means equal
"-7" = -7
Step 2: Set up equation (combine)
n/3 - 5 = -7
dice is rolled 3000 times
how many times would you expect to roll a 5
Answer:
500 times
Step-by-step explanation:
3000/6
Write an equation in point-slope form for the line. Slope is -2 and (1, 1) in on the line.
Answer:
The point-slope form is y - 1 = -2 (x-1)
Step-by-step explanation: