Answer:
[tex]55.7 feet[/tex]
Step-by-step explanation:
[tex]h=\sin{\left(23\right)\times135}[/tex]
[tex]\sin{23}\approx0.39[/tex]
[tex]h=0.39\times135=52.65\left(feet\right)\[/tex]
[tex]H=h+3[/tex]
[tex]=52.65+3[/tex]
[tex]=55.65\left(feet\right)[/tex]
[tex]55.65\ feet\approx55.7\ feet[/tex]
I hope this helps you
:)
The resting heart rates for 80 women aged 46–55 in a simple random sample are normally distributed, with a mean of 71 beats per minute and a standard deviation of 6 beats per minute. assuming a 90% confidence level (90% confidence level = z-score of 1.645), what is the margin of error for the population mean? remember, the margin of error, me, can be determined using the formula m e = startfraction z times s over startroot n endroot endfraction. 0.66 1.10 1.31 1.73
The margin of error for the population mean for the 90% confidence level is 1.10.
What is the margin of error?The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.
It is given by the formula:
[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}[/tex]
As the mean is given to us is 71 beats and the standard deviation is 6 beats, therefore, the margin of error for 90% confidence level can be written as,
[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.645 \times \sqrt{\dfrac{6^{2}}{80}}\\\\\text{MOE}_{\gamma}=1.645 \times \sqrt{\dfrac{36}{80}}\\\\\text{MOE}_{\gamma}=1.1034\approx 1.10[/tex]
Hence, the margin of error for the population mean for the 90% confidence level is 1.10.
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Answer:
B on edge
Step-by-step explanation:
Hurry please!
What is the slope of a line parallel to the line whose equation is 2 – 2y = 4. Fully
simplify your answer.
Answer:
The slope of the given line and a line parallel to it is
5
2
.
Explanation:
Given:
5
x
−
2
y
=
11
is the standard form of a linear equation.
A line parallel to this line has the same slope. To determine the slope, solve for
y
to change the equation to slope-intercept form:
y
=
m
x
+
b
,
where:
m
is the slope and
b
is the y-intercept.
5
x
−
2
y
=
11
Subtract
5
x
from both sides.
−
2
y
=
−
5
x
+
11
Divide both sides by
−
2
.
y
=
−
5
−
2
x
+
11
−
2
Simplify.
y
=
5
2
x
−
11
2
The slope of the given line and a line parallel to it is
5
2
.
What is the z-score of a newborn who weighs 4,000 g?.
The z-score of the considered newborn having 4,000 g weight is [tex]\dfrac{4000 - \mu}{\sigma}[/tex]
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For the considered case, the statement in the problem is missing the mean weight of the newborn and standard deviation of the data set of weights of newborn.
Thus, for them, we can consider variables in place of their actual values.
Let we have:
X = weights of newborns for some considered system (in grams)[tex]\mu[/tex] = mean weight of newborns (in grams)[tex]\sigma[/tex] = standard deviation of the data set of weights of newbornsThen, the z-score for X = 4000 is
[tex]z = \dfrac{x - \mu}{\sigma} = \dfrac{4000 - \mu}{\sigma}[/tex]
Thus, the z-score of the considered newborn having 4,000 g weight is [tex]\dfrac{4000 - \mu}{\sigma}[/tex]
Learn more about z-scores here:
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Answer:
The answer would be 1!
Step-by-step explanation:
I did the assignment.
edge 2022
Please help me with the first two questions!! I have the last one done already!
12. Solve the simultaneous equations.
2x + 3y = 10
3x + 5y = 17
Answer:
[tex]x = -1[/tex], [tex]y = 4[/tex]
Step-by-step explanation:
[tex]2x + 3y = 10[/tex]
[tex]3x + 5y = 17[/tex]
By using substitution:
[tex]2x + 3y = 10[/tex]
[tex]2x = -3y + 10[/tex]
[tex]x = -\frac{3}{2} y + 5[/tex]
[tex]3x + 5y = 17[/tex]
[tex]3 (-\frac{3}{2}y + 5) + 5y = 17[/tex]
[tex]\frac{1}{2} y + 15 = 17[/tex]
[tex]\frac{1}{2} y = 2[/tex]
[tex]y = 4[/tex]
[tex]x = -\frac{3}{2}y + 5[/tex]
[tex]x = -\frac{3}{2} (4) + 5[/tex]
[tex]x = -1[/tex]
If 9y^2-21+8 is written as p^2-7p+8, what is p in terms of y
Your job is to figure out how to make a "silver mile". Here in the United States we could do this with nickels, dimes, quarters, half-dollars, or silver dollars. I found on the United States Mint website that the Susan B. Anthony silver dollar was 1.04 inches in diameter. Making a mile using just this coin would be an easy calculation. We need a more interesting challenge. We are going to create a silver mile following a specific set of rules. You may need to cover a little more than the required distance since you cannot use fractional parts of the coins. Here are the rules:
1) Lay down enough Susan B. Anthony silver dollars to cover half of the mile.
2) Cover one-third of the remaining distance with half-dollars.
3) Use quarters to cover one-fourth of the remaining distance.
4) With dimes, cover one-fifth of the remaining distance,
5) Fill in the remaining distance with nickels.
What is the total value of the coins in this mile?
Please support this by showing evidence. Thanks a lot :)
The total value of coins to create a silver mile following the specific rules stated is $38,114.18
Distance left:63360 - 31650.48 = 31679.52 inches
A third of the distance is missing: 10559.84 inches
Diameter of the half-dollar: 1.205 inThis means 10,559.84 inches/ 1.205 in = 8763.35 rounded to 8764
Total distance coverd 8,764 x 1.205 in = 10560.61
Total distance left: 31679.52 - 10560.61 = 21118,91 / 4 = 5279.72
Diameter of quarters: 0.750 inchesThis means 5279.72 / 0.750 =7039.62 rounded to 7040
7040 x 0.750 = 5280
Total distance left = 21118,91 - 5280 = 15,838.91 / 5 = 3167.782
Diameter of dimes: 0.705This means 3167.82 / 0.705 = 4493.36 rounded to 4494
0.705 x 4494 = 3168.27
Total distance left = 15,838.91 - 3168.27 = 12670.64
Diameter of the nickel: 0.835This means 12670.64/ 0.835 = 15174.41 rounded to 15175
How much money was used?For this change the coins to dollars:
Susan B. Antony Silver dollars: 30462 = $30462
Half-dollars: 8764 = $4382
Quarters: 7040 = $1760
Dimes: 4494 = $561.75
Nickels: 15175 = $948.43
Total: $38114,18
Learn more about coins in: https://brainly.com/question/11866076
Simplifies the expressions please!!!!!!!!
4x^3y^2 x 3x^6y^3/24x^11y^2
(3rs^2t^4)^2/21r^2s^3t^11
(10a^4b^6)(3a^5b^2) -7a^9b^8
(-5x^4y^7)^2 + 9x^8y^14
20 POINTS!!!!!
Answer:
In order:
[tex]\frac{y^{3}}{2x^{2}}[/tex]
[tex]\frac{9r^2s}{2t^{3}}[/tex]
[tex]23a^9b^8[/tex]
[tex]34x^8y^{14}[/tex]
Step-by-step explanation:
[tex]\frac{4x^3y^2 * 3x^6y^3}{24x^{11}y^2} \\\\\frac{12x^9y^5}{24x^{11}y^2} \\\\\frac{x^9y^5}{2x^{11}y^2} \\\\\\frac{y^5}{2x^{11-9}y^2} \\\\\frac{y^5}{2x^{2}y^2} \\\\\frac{y^{5-2}}{2x^{2}y^2} \\\\\frac{y^{3}}{2x^{2}}[/tex]
[tex](3rs^2t^4)^2/21r^2s^3t^11\\\\\frac{9r^2s^4t^8}{2s^3t^{11}} \\\\\frac{9r^2s^{4-3}t^8}{2s^3t^{11-8}} \\\\\frac{9r^2s}{2t^{3}}[/tex]
[tex](10a^4b^6)(3a^5b^2) -7a^9b^8\\\\30a^9b^8-7a^9b^8\\\\23a^9b^8[/tex]
[tex](-5x^4y^7)^2 + 9x^8y^{14}\\\\25x^8y^{14}+9x^8y^{14}\\\\34x^8y^{14}[/tex]
Hope this helps!
A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The test results (expressed as a percent) for the two groups are shown below. Studied: Did Not Study: Part 1: Calculate the mean of the group that studied, rounded to the nearest tenth. Part 2: Calculate the mean absolute deviation of the group that studied, rounded to the nearest tenth. Part 3: How many of the scores (from the group that studied) are within one mean absolute deviation of the mean.
The evaluation of the figures needed for the considered survey are:
The mean of the considered data is 1667/18 ≈ 92.61The mean of these 18 absolute deviations comes out as [tex]91.8/18 \approx 5.1[/tex]The number of scores which are within one mean absolute deviation of the mean is 10Suppose the data specified is of n sized as [tex]x_1, x_2, \cdots , x_n[/tex]
Let this data's mean be [tex]\bar{x}[/tex]
Then, the mean absolute deviation of this data is the mean of the absolute differences of the observations from the mean of the data they belong to.
It is calculated as:
[tex]M.A.D = \dfrac{\sum_{i=1}^n|x_i-\bar{x}|}{n}[/tex]
The data is missing from the problem statement, and is as shown below:
Studied: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89Calculating the needed figures part by part:
Part 1: Mean of the group that studied, rounded to the nearest tenth.
Mean is the sum of observations divided by number of observations.
The sum of 18 observations: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84
is 1667. Thus, its mean is 1667/18 ≈ 92.61 ≈ [tex]\bar{x}[/tex]
Part 2: The mean absolute deviation of the group that studied:
The absolute deviations of 18 observations: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84
from the mean [tex]\bar{x}[/tex] ≈ 92.61 are approx:
[tex]|92.61 - 88| = 4.6\\|92.61 - 100| = 7.4\\|92.61 - 94| = 1.4\\|92.61 - 79| = 13.6\\|92.61 - 92| = 0.6\\|92.61 - 100| = 7.4\\|92.61 - 95| = 2.4\\|92.61 - 83| = 9.6\\|92.61 - 89| = 3.6\\|92.61 - 99| = 6.4\\|92.61 - 100| = 7.4\\|92.61 - 91| = 1.6\\|92.61 - 89| = 3.6\\|92.61 - 95| = 2.4\\|92.61 - 100| = 7.4\\|92.61 - 93| = 0.4\\|92.61 - 96| = 3.4\\|92.61 - 84| = 8.6\\[/tex]
Their sum is 91.8 approx.
Thus, the mean of these 18 absolute deviations comes out as
[tex]91.8/18 \approx 5.1[/tex]
Part 3: The number of scores which are within one mean absolute deviation of the mean
The range within one absolute deviation of the mean is [tex][92.61 - m.a.d, 92.61 + m.a.d] = [92.61 - 5.1, 92.61 + 5.1] = [87.51, 97.71][/tex]
The values from the studied group which is in this range are:
88, 94, 92, 95, 89, 91, 89, 95, 93, 96
They are total 10 in counts.
Thus, the number of scores which are within one mean absolute deviation of the mean is 10
Thus, the evaluation of the figures needed for the considered survey are:
The mean of the considered data is 1667/18 ≈ 92.61The mean of these 18 absolute deviations comes out as [tex]91.8/18 \approx 5.1[/tex]The number of scores which are within one mean absolute deviation of the mean is 10Learn more about mean absolute deviation here:
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|
Evaluate 5c + cd when c
--
and d = 15.
Use the distributive property to write an expression that is equivalent to the expression below. 8(-x-1/2)
Answer:
I think is -8x-4 let me know if im right
Step-by-step explanation:
what is the distributive property for 34 (x - 1)?
Distribute the 34 to both the x and -1, and once you do that, your answer is 34x - 34
Answer:
34x - 34
Step-by-step explanation:
34(x - 1) ← multiply each term in the parenthesis by 34
= 34x - 34
PLEASE HELP ME
Which of the following is an irrational number?
A ✓5
B -2
C 1/2
D ✓9
Answer:
A ✓5 is the irrational number.
Step-by-step explanation:
Have a good day. :)
Hello.
A rational number can be expressed as a fraction.
Let's check if we can express the given numbers as fractions.
The first number is √5.
Can we express √5 as a fraction? No.
Why? Because √5=2.236...
We cannot express this number as a fraction.
Thus, √5 is irrational.
Let's check the other 3 numbers.
The second number is -2.
Can we express -2 as a fraction? Sure!
[tex]\displaystyle-\frac{2}{1}[/tex]
Thus, -2 is rational.
What about the third number?
Well, it's already a fraction.
Seems like Option A is the right option, huh? Well, let's check the last one as well.
The last one is √9.
9 does have a square root, unlike 5.
It equals 3:
√9=3
Let's express 3 as a fraction:
[tex]\displaystyle\frac{3}{1}[/tex]
Therefore, Option A is the right option ;)
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
The quotient of 8. 4 times 10 Superscript 9 and a number n results in 5. 6 times 10 Superscript 27. What is the value of n? 1. 5 times 10 Superscript negative 18 1. 5 times 10 Superscript negative 3 1. 5 times 10 Superscript 3 1. 5 times 10 Superscript 18.
By simplifying given statement we got that if the quotient of [tex]8.4\times10^ 9[/tex] and a number n results in [tex]5. 6\times 10 ^{27}[/tex] then n is equal to [tex]1.5\times10^{-18}[/tex]
What is quotient?Result obtained after division is called quotient
Here given that "The quotient of 8. 4 times 10 Superscript 9 and a number n results in 5. 6 times 10 Superscript 27"
We can write it as
The quotient of [tex]8.4\times10^ 9[/tex] and a number n results in [tex]5. 6\times 10 ^{27}[/tex]
we can write it as
[tex]\frac{8.4\times10^ 9}{n} =5. 6\times 10 ^{27}[/tex]
Now we can simplify it as
[tex]n= \frac{8.4\times10^ 9}{5. 6\times 10 ^{27}} \\\\n= \frac{8.4}{5.6} \times\frac{10^9}{10^27} \\\\n= 1.5\times 10^{-18}[/tex]
By simplifying given statement we got that if the quotient of [tex]8.4\times10^ 9[/tex] and a number n results in [tex]5. 6\times 10 ^{27}[/tex] then n is equal to [tex]1.5\times10^{-18}[/tex]
To learn more about quotient visit :https://brainly.com/question/673545
Determine the missing side length.
11. Simplify the equation below.
(12x +9y-15) + '. (&x-12 y-20)
A. 10x + 3y -15
B. 10x + 3y - 5
C. 10x +3y +15
D. 10x + 3y +5
i think it should be answer B
I believe its also b after working it out for around 20 minutes i have to come to the conclusion that its B this can be APPROVED by the nation math's government department
What is the pattern as the exponents decrease?
subtract 5 from the previous value
subtract 100 from the previous value
divide the previous value by 5
divide the previous value by 25
Answer:
divide the previous value by 5
Step-by-step explanation:
5^2=25, 5^1=5, 25/5=5
The answer is C :)
Have a nice day
Correct on edge.
what are the zeros of this function? HELP PLEASE!!
Answer:
They are decimal points.
A line passes through $A(1,1)$ and $B(100,1000)$. How many other points with integer coordinates are on the line and strictly between $A$ and $B$
Answer:
8
Step-by-step explanation:
Integers are whole numbers or opposite of whole numbers.
The slope is 111/11.
How?
Change of y is 1000-1=999.
Change of x is 100-1=99.
The slope is 999/99=111/11.
So if we start at (1,1) and we rise 111 and run 11 right, we get (12,112).
*Rise effects y and run effects x.
If we do that again from (12,112) we get (23,223).
Following the pattern of going up 111 and right 11 from each new location discovered we get all the of these points:
Start (1,1)
(12,112)
(23,223)
(34,334)
(45,445)
(56,556)
(67, 667)
(78, 778)
(89, 889)
(100, 1000) which is the end.
So we just need to count tthe points between begin point and end point which is 8 points.
Hucts
Active
Missy estimated that the product of 4.5 and 11.91 is 5 x 12, or 60. Is her estimate an underestimate or an overestimate?
overestimate
O underestimate
Answer:
overestimate
Step-by-step explanation:
The actual numbers are 4.5 and 11.91.
She used 5, which is greater than 4.5 and 12 which is grater than 11.91, so her estimate is an overestimate.
Answer: overestimate
Graph the following quadratic equation
f (x) = x² - 4x + 3
Answer:
Step-by-step explanation:
Please help it’s urgent
The amount of medicine in a patient's bloodstream is shown by the function A(h)=600(0.75)^h, where h is the number of hours that have passed since the medicine was given.
A: The amount of medicine in the bloodstream increases by 25% each hour.
B: The amount of medicine in the bloodstream decreases by 25% each hour.
C: The amount of medicine in the bloodstream increases by 75% each hour.
D: The amount of medicine in the bloodstream decreases by 75% each hour.
The amount of medicine in the bloodstream decreases by 25% each hour.
Exponential equationThe standard exponential equation is expressed as:
y = ab^x
a is the initial amount
b is the rate
If b < 1, hence there is a declince
Given the expoenentia equation A(h)=600(0.75)^h,
b = 1 - r = 0.75
r = 1 - 0.75
r = 0.25
This shows that the amount of medicine in the bloodstream decreases by 25% each hour.
Learn more on exponential equation here: https://brainly.com/question/12940982
Solve for x :-
[tex] \: [/tex]
[tex]{ \large{ \rm{ \frac{7x + 14}{3} - \frac{17 - 3x}{5} = 6x - \frac{4x + 2}{3} - 5 }}}[/tex]
[tex] \rule{200pt}{5pt}[/tex]
We need to find value of x from the equation, so let write the equation first;
[tex]{:\implies \quad \sf \dfrac{7x+14}{3}-\dfrac{17-3x}{5}=6x-\dfrac{4x+2}{3}-5}[/tex]
Taking LCM both sides ;
[tex]{:\implies \quad \sf \dfrac{35x+70-(51-9x)}{15}=\dfrac{18x-(4x+2)-15}{3}}[/tex]
Multiplying both sides by 15 and simplifying ;
[tex]{:\implies \quad \sf 35x+70-51+9x=5(18x-4x-2-15)}[/tex]
[tex]{:\implies \quad \sf 44x+19=5(14x-17)}[/tex]
[tex]{:\implies \quad \sf 44x+19=70x-85}[/tex]
[tex]{:\implies \quad \sf 70x-44x=19+85}[/tex]
[tex]{:\implies \quad \sf 26x=104}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{104}{26}=\boxed{\bf 4}}[/tex]
Hence, The required answer is 4
Given: {(7x + 14)/3} - {(17 - 3x)/5} = 6x - {(4x + 2)/3} - 5
Asked: Find the value of x = ?
Explanation: Given equation is {(7x + 14)/3} - {(17 - 3x)/5} = 6x - {(4x + 2)/3} - 5
⇛{(7x + 14)/3} - {(17 - 3x)/5} = {(6x)/1} - {(4x + 2)/3} - (5/1)
⇛{(7x*5 + 14*5 - 17*3 + 3x*3)/15} = {(6x*3 - 4x*1 - 2*1 - 5*3)/3}
⇛{(35x + 70 - 51 + 9x)/15} = {(18x - 4x - 2 - 15)/3}
⇛{(35x + 9x + 70 - 51)/15} = {(18x - 4x - 2 - 15)/3}
⇛{(44x + 19)/15} = {(14x - 17)/3}
⇛[{1/15}(44x + 19)] = [{1/3}(14x - 17)}]
⇛{(44x + 19)/15} = {(14x - 17)/3}
Since (a/b) = (c/d) ⇛a(d) = b(c) ⇛ad = bc
Where, a = 44x + 19, b = 15
c = 14x - 17 and d = 3
On applying cross multiplication then
⇛3(44x + 19) = 15(14x - 17)
Multiply the numbers outside of the bracket with numbers in the bracket.
⇛132x + 57 = 210x - 255
Shift the variable value on LHS and constant value on RHS.
⇛132x - 210x = -255 - 57
Subtract the values on LHS and RHS.
⇛(-78x) = (-312)
Shift the number (-78) from LHS to RHS.
⇛x = {(-312)/(-78)
Simplify the RHS fraction to get the final value of x.
⇛x = 4/1
Therefore, x = 4
Answer: Hence, the value of x for the given problem is 4.
EXPLORE MORE:
Verification:
Check whether the value of x for the given problem is true or false.
If x = 4 then LHS of the equation is
{(7x + 14)/3} - {(17 - 3x)/5}
= [{7(4) + 14}/3] - [{17 - 3(4)}/5]
= {(7*4 + 14)/3} - {(17 - 3*4)/5}
= {(28 + 14))3} - {(17 - 12)/5}
= (42/3) - (5/5)
= (42/3) - 1
= (42/3) - (1/1)
= {(42 - 1*3)/3
= {(42 - 3)/3}
= (39/3)
= 13/1
= 13
And RHS = 6x - {(4x + 2)/3} - 5
= 6(4) - [{4(4) + 2}/3] - 5
= 24 - {(16 + 2)/3} - 5
= 24 - (18/3) - 5
= 24 - (6/1) - 5
= (24/1) - (6/1) - (5/1)
= (24*1 - 6*1 - 5*1)/1
= (24 - 6 - 5)/1
= (24 -11)/1
= 13/1
= 13
On comparing with both the sides, we notice that LHS = RHS is true for x = 4
Hence, verified.
also read similar questions: Solve 5/6 (4x + 8) = 3/8 x - 1/4 using algebraic operations.
Solve the equation: 5(3p - 5) + 4p = 5p - 6( p + 4)....
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Does the point (5, 7) lie on the line y = −3x + 22
Answer: No
Step-by-step explanation: the dot on the screenshot shows where (5,7) is
Answer:
Yes
Step-by-step explanation:
If you graph y=-3x+22 then it is on the line. (x is 5, y is 7)
can someone help pls
Answer:
x = ± 5
Step-by-step explanation:
for the figure to be an isosceles trapezoid
then the lower base angles must be congruent , that is
3x² - 4 = 2x² + 21 ( subtract 2x² from both sides )
x² - 4 = 21 ( add 4 to both sides )
x² = 25 ( take square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
Answer:
x=5
Step-by-step explanation:
Here,
→[tex]2x^{2} +21=3x^{2} -4\\\\[/tex]
→[tex]21+4=3x^{2} -2x^{2} \\[/tex]
→[tex]x^{2} =25[/tex]
→[tex]x=\sqrt{25}[/tex]
→[tex]x=5[/tex]
Let's check whether they are equal or not by putting the value of x.
→[tex]2x^{2} +21[/tex]
→[tex](2*5^{2}) +21[/tex]
→[tex]50+21[/tex]
→[tex]71[/tex]
→[tex]3x^{2} -4[/tex]
→[tex](3*5^{2} )-4[/tex]
→[tex]75-4[/tex]
→71
Hence they are equal.
The following equation cannot be solved symbolically. Solve the equation graphically. Round to the nearest hundredth as needed.
3x+ex=3
Lucia works as a plumber. She worked for 6 days and earned $938.94. How much did Lucia
earn per day?
Divide total pay by number of days.
938.94 / 6 = 156.49
They earned $156.49 per day
Cuantos son 47 millones de pesos mexicanos a dolares?
Answer:
47,000,000 Mexican Peso equals 2,308,164.50 United States Dollar
A popular video game claims that the average time needed to reach level 10 paladin is 3 hours with a standard deviation of 0.4 hours. james thinks that he and his four friends are more skilled than the average gamer because it took them an average of only 2.5 hours. which of the following is the most restrictive level that would validate his claim? upper-tail values a 5% 2.5% 1% critical z-values 1.65 1.96 2.58 1% 2.5% 5% 10%
The probability that the claim of James is correct is 1%.
What is a standard error?The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, is its standard error. The standard error of the mean is the term used when the statistic is the sample mean.
In order to know if the claim of James is correct or not, firstly we need to determine the standard error. The standard error is the ratio of the standard deviation and the square root of the sample. Therefore, the standard error can be written as,
[tex]\rm Standard\ Error, SE =\dfrac{\sigma}{\sqrt n} = \dfrac{0.4}{\sqrt5} =0.178[/tex]
Thus, the standard error is 0.178.
Further, The z-score is defined as the distance from the sample to the population mean in units of standard error. Therefore, the z-score can be written as,
[tex]z = \dfrac{X-\mu}{SE}=\dfrac{(3- 2.5)}{0.178} = 2.81[/tex]
Using the Z-table in order to know the probability of the claim of James is correct or not, therefore, at this z-score, the probability is 0.9974≈1.00%.
Hence, the probability that the claim of James is correct is 1%.
Learn more about Standard Error:
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