Answer:
26
Step-by-step explanation:
-4*2+3*4-2
16+3*4-2
16+12-2
28-2
26. PEMDAS
how do I solve for x.
Answer:
X=4
Step-by-step explanation:
(4x+34) + (x+36) = 90
4x + 34 + x + 36 = 90
5x + 70 = 90
5x = 20
x = 4
How does the mean absolute deviation (mad) of the data in set 1 compare to the mean absolute deviation of the data in set 2? set 1: 12, 8, 10, 50 set 2: 13, 9, 8 the mad of set 1 is 13 less than the mad of set 2. the mad of set 1 is 13 more than the mad of set 2. the mad of set 1 is 2 more than the mad of set 2. the mad of set 1 is 2 less than the mad of set 2.
The Mean Absolute Deviation of Set 1 exists 13 more than the mean absolute deviation of Set 2.
How to estimate the Mean Absolute Deviation from the given data?Set 1: 12, 8, 10, 50
Set 2: 13, 9,8
To determine the mean for each set
Mean = totality of elements/number of elements
Mean of Set 1:
\($=\frac{12+8+10+50}{4}\)
\($=\frac{80}{4}=20$\)
Mean of Set 2:
\($=\frac{13+9+8}{3}\)
\($=\frac{30}{3}=10$\)
To determine the mean absolute deviation (MAD) of the data in each set.
M.A.D of Set 1:
\($=\frac{|12-20|+|8-20|+|10-20|+|50-20|}{4}\)
\($=\frac{8+12+10+30}{4}=\frac{60}{4}=15$$\)
M.A.D of Set 2:
\($=\frac{|13-10|+|9-10|+|8-10|}{3}\)
\($=\frac{3+1+2}{3}=\frac{6}{3}=2$\)
The Mean Absolute Deviation of Set 1 exists 13 more than the mean absolute deviation of Set 2.
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Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida, during 2014 and 2015 are as follows: 2014 Season: 72 76 77 75 73 71 73 75 2015 Season: 69 68 73 75 83 78 69 77 a. Calculate the mean (to the nearest whole number) and the standard deviation (to 2 decimals) of the golfer's scores, for both years. 2014 Mean Standard deviation 2015 Mean Standard deviation b. What is the primary difference in performance between 2014 and 2015? - Select your answer What improvement, if any, can be seen in the 2015 scores?
a) The mean and the standard deviation of the amateur golfer’s scores for both the years 2014 and 2015 are given below:2014 Season Mean of scores = (72+76+77+75+73+71+73+75) / 8
= 592 / 8 = 74
Standard Deviation (SD) of scores = 2.29 (rounded to 2 decimal places) 2015
Season Mean of scores
= (69+68+73+75+83+78+69+77) / 8
= 592 / 8
= 74
Standard Deviation (SD) of scores = 5.05 (rounded to 2 decimal places)b)
The primary difference in performance between 2014 and 2015 is that the standard deviation of the scores in 2015 is greater than that in 2014.
This indicates that the scores in 2015 were more spread out or varied than in 2014.
Improvement can be seen in the 2015 scores as the mean of scores in 2015 is less than the mean of scores in 2014. The lower mean score indicates an improvement in the performance of the amateur golfer.
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A statistician wants to determine the relationship between typing speed, in words per minute, and the time, in minutes, it takes to type one page of a specific book. Twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622. Therefore, slower typing speed was related to greater time. How is the correlation affected if the units for time are changed from minutes to seconds
The way that the correlation will be affected if the units are changed from minutes to seconds is that the correlation will still be the same.
What is correlation?Correlation simply means a statistical measure which expresses the extent to which two variables are linearly related.
From the information, it was stated that twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622.
In this case, even when the units for time are changed from minutes to seconds, the correlation won't change. This is because the change in units has no effect on the correlation.
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Answer:
The correlation would stay the same because the change in units for time would have no effect on it.
Step-by-step explanation:
write the slope-intercept form of the equation of each line
Answer:
try ( -4,1)
Step-by-step explanation:
if not then i'm sorry
Choose the diagram that shows the graph of the inequality.
Please help, I’m just getting back to school and forgot how to do this.
Solve using y=mx+b.
slope = undefined, and point = (-4, -8).
Please use an explanation so I can understand better in the future!
Answer:
x = - 4Step-by-step explanation:
The slope is the ratio of rise to run.
Rise is the difference of y-coordinates, run is the difference of x-coordinates.
Now, the slope is said undefined if the difference of x-coordinates is zero.
It means you have to divide by zero but it is impossible.
We have a point (- 4, - 8) and the slope is undefined.
It means our line has repeat x = -4 coordinates, it is a vertical line.
Its equation will be:
x = - 4Let's write the equation
m=undefined Point (-4,-8)\(\\ \sf\longmapsto y=mx+b\)
Line is parallel to y axis\(\\ \sf\longmapsto x+4=\dfrac{-8}{\infty}\)
\(\\ \sf\longmapsto x+4=0\)
\(\\ \sf\longmapsto x=-4\)
can some one plz help me with a queston i posted
Answer:
ok what is it
Step-by-step explanation:
Consider the quadratic function that has x-intercepts of -1 and 7 and passes through the point (-2,-20). What is the
value of a in the factored form of this function?
Answer:
a = -20/9.
Step-by-step explanation:
We can write it as
f(x) = a(x - 7)(x + 1)
When x = -2 and y = -20 (at the point(-2, -20):
-20 = a(-2 -7)(-2 + 1)
-20 = -9*-1 a
9a = -20
a = -20/9.
Draw the standard normal distribution. Shade the area to the left of the z-score of -3.02. Find the shaded area
Area of shaded region is 0.3554.
What is an area in math?
The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.
Question:1)
z ~ N(0,1)
The shaded standard normal is
P(-3.02 < Z < 4.52)
= P(Z < 4.52) - P(Z < -3.02)
= 0.9999 - 0.0013
= 0.9986
Area of shaded region is 0.9986
Question:2)
P(-1.46 < Z < 0.84)
= P(Z < 0.84) - P(Z < -1.46)
= 0.7995 - 0.0721
= 0.7274
Area of shaded region is 0.7274
Question:3)
P(Z < 0.3707) = 1 - P(Z < 0.3707)
= 1 - 0.6446
= 0.3554
Area of shaded region is 0.3554
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What is the answer to number 6?
Answer:
can u type it so i can answer, i cant see it
Step-by-step explanation:
question in photo. i'll give brainliest to whoever gets it right/done quickest. thank you!
The graph shows the function f(x) = 2x.
What is the value of x when f(x) = 8?
10-
Ο Α. 0
OB. 3
O C. 1
OD. 2
Answer: 4 (none of the given options are correct)
Step-by-step explanation:
\(f(x)=2x=8\\\\x=\boxed{4}\)
For the function f(x)=2x, the value of x is 8 when f(x) = 8
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The graph shown the function f(x) = 2x.
A relation is a function if it has only One y-value for each x-value.
We have to find the value of x when f(x) is 8
Let us equate the two functions
2x=8
Divide both sides by 2
x=4
Hence, for the function f(x)=2x, the value of x is 8 when f(x) = 8
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pls answer it's very urgent
Answer:
If P=Q: (x=R)
If P≠Q: x=(p+q)/2 p≠0, q≠0
Step-by-step explanation:
IF P=Q: then the statement is true for all real numbers (x=R) (I can’t make the symbol for all real numbers here)
IF P≠Q:
(2x+p)/q=(2x+q)/p
cross multiply
2xp+p²=2xq+q² p≠0, q≠0
2xp-2xq=q²-p² p≠0, q≠0
2x(p-q)=q²-p² p≠0, q≠0
DIvide both sides by 2(p-q) and you get
x=(p+q)/2 p≠0, q≠0
Determine which of the following sets of vectors form an orthonormal basis for R². A. {[3/5,4/5]ᵀ,[5/13,12/13]ᵀ}. B. {[1,0]ᵀ,[0,1]ᵀ}. C. {[1,-1]ᵀ,[1,1]ᵀ}. D. {[ √3 /2,1/2]ᵀ,[-1/2, √3/2]ᵀ}.
The set of vectors that form an
orthonormal basis
for R² is B. {[1,0]ᵀ,[0,1]ᵀ}.
To determine which of the sets of vectors form an orthonormal basis for R², we need to check if the vectors are orthogonal and have a length of 1. For set A, we can calculate the dot product of the two vectors and see that it is not equal to zero, so they are not orthogonal. For set C, the dot product of the two vectors is also not equal to zero, so they are not orthogonal. For set D, we can calculate the length of the vectors and see that they are not equal to 1, so they do not have a length of 1. Therefore, the only set of vectors that form an orthonormal basis for R² is set B, which consists of the standard basis
vectors
{[1,0]ᵀ,[0,1]ᵀ}.
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Jessie goes to the market every 64 days. Chris goes to the same market every 72 days
They met each other one day. How many days later ws they meet each other again? Pleaseee answer this question
Answer:
576
Step-by-step explanation:
64×9 = 576
72×8= 576
The LCM of both numbers is 576
Answer:
Step-by-step explanation:
It will be the least common multiple of 64 and 72 days
64 = 2 * 2 * 2 * 2 * 2 * 2 = 2⁶
72 = 2*2*2*3*3 = 2³ * 3²
LCM = 2⁶ * 3² = 64 * 9 = 576
Both will meet each other again 576 days
Quadrilateral BCDE is inscribed in circle A. ∠ and ∠ measure 70.85° and 78.03°, respectively.
Determine the measure of ∠ .
Answer:
∠ DEB = 101.97°
Step-by-step explanation:
BCDE is a cyclic quadrilateral, whose opposite angles are supplementary, so
∠ BCD + ∠ DEB = 180°, that is
78.03° + ∠ DEB = 180° ( subtract 78.03° from both sides )
∠ DEB = 101.97°
A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance,
x, from the starting location?
O 135.99 mi
O 149.32 mi
O 172.93 mi
O 183.60 mi
For your question:
"A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance,
x, from the starting location?"
Please see above for answer.
Let me know if you have any further questions.
The distance, x, from the starting location will be 183.6 miles.
What is distance?Distance is a numerical representation of the distance between two objects or locations.
Distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
Let the ship start at point O and proceed for 60 miles in the 34 °S direction to point P. Then, after 150 kilometers Q.
From the obtained value, the angle P can be obtained;
∠P=180°-(45°+20°)
∠P=115°
From triangle,
OP=60 cm
PQ=150
∠P=115°
OQ=x
OQ²=OP²+PQ₂-2OP.PQ.COS∠P
x²=60²+150²-2(60)(150)COS(115°)
x²=3600+22500+7606.8
x²=33,706.8
x=√(33,706.8)
x=183.59
x=183.6 miles
Hence,the distance, x, from the starting location will be 183.6 miles.
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ratio equivalent 2 numbers
10:12
3. A spark plug has a gap of 1.12 millimeters. The
gap should be .89 millimeter. How much too large is
the gap?
Answer:
0.23 millimeters
Step-by-step explanation:
We can get how much extra gap there is by subtracting the actual gap by the ideal gap, so:
1.12 - 0.89 = 0.23 millimeters
Hope this helped somewhat!
A sampling frequency of 10 pixels per millimeter would produce how much spatial resolution?
A. 1 line pair per millimeter B. 5 line pairs per millimeter C. 10 line pairs per millimeter D. 20 line pairs per millimeter
A sampling frequency of 10 pixels per millimeter would produce a spatial resolution of 5 line pairs per millimeter (B).
A sampling frequency of 10 pixels per millimeter would produce a spatial resolution of B. 5 line pairs per millimeter.
Here's a step-by-step explanation:
1. The sampling frequency is given as 10 pixels per millimeter.
2. According to the Nyquist-Shannon sampling theorem, the maximum spatial frequency (in line pairs per millimeter) that can be accurately represented is half of the sampling frequency.
3. Divide the sampling frequency (10 pixels per millimeter) by 2: 10/2 = 5 line pairs per millimeter.
So, the answer is B. 5 line pairs per millimeter.
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The chi-square test of independence is typically used to analyze the relationship between two variables when
both variables are nominal.
the two variables have been measured on different individuals.
the observations on each variable are within-subjects in nature.
all of the above
The chi-square test of independence is typically used to analyze the relationship between two variables when both variables are nominal, the two variables have been measured on different individuals and the observations on each variable are within-subjects in nature. The answer is D. all of the above
The chi-square test of independence is a statistical test that is used to determine if there is a significant association between two categorical variables. It is commonly used when both variables are nominal, meaning they consist of categories or groups rather than numerical values.
When conducting the chi-square test of independence, the data is typically collected by measuring the two variables on different individuals or units.
For example, researchers may collect data on the gender (nominal variable) and political affiliation (nominal variable) of different individuals and analyze whether there is a relationship between the two variables.
The test examines the observed frequencies of the different categories in a contingency table and compares them to the expected frequencies under the assumption of independence. If the observed and expected frequencies significantly differ, it suggests that there is an association between the two variables.
Therefore, the chi-square test of independence is applicable when both variables are nominal and the data is collected on different individuals. This allows researchers to investigate the relationship between the variables and determine if they are associated or independent.
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A high-school club has members the ratio of males to females is 5 to 3 how many males are in the club
Answer:
it depends on how many females are there
Step-by-step explanation:
I need to know how many females are there
Answer: If there are x total members, then the number of males is 5/8x
please help with these 2 problems in math!!! thank uu!!
(factorize the expressions by regrouping)
Answer:
Sorry if im wrong but for c put (x+8) x (x+y)
for d put (x+3y-1) x (x+y)
Step-by-step explanation:
A rain water collection tank is shaped like a cylinder with a diameter of 16 M and a height of 30 M find the volume of the tank to the nearest whole number
Answer:
Step-by-step explanation:
BaBaKeKeOriginal
If the product of 5x+1 and 2x-3 was place in ax2+bx+c form what would the value of a+b+c equal
Answer:
Answer: 10x^2 -13x-3
Foil method
Step-by-step explanation:
I beleive its right.
Mr. Autry bought a hat for $99.90. He also bought a pair of boots for $89.90. What was the total cost of the hat and boots including an 8% sales tax
Answer:
$204.98
Step-by-step explanation:
Step 1: Add both item cost
\(99.90 + 89.90 = 189.80\)
Step 2: Find the sales tax of the result
\(\frac{8}{100}\times 189.8 = 15.184\)
Step 1: Convert 8% to fraction\(8\%= \frac{8}{100}\)Simplify\(\frac{8}{100} = \frac{2}{25}\)Step 2: Convert 189.80 to a fraction\(189.80 = \frac{189.8}{1}\)Step 3: Set it up\(\frac{2}{25}\times \frac{189.8}{1}\)Step 4: Cross divide\(189.80 \div 25 = 7.592\\2 \div 1 = 2\)Step 5: Multiply the result\(7.592 \times 2 = 15.184\)Step 3: Add the result from the total cost of both items
\(189.80 + 15.184 = 204.98\)
The total cost of the hats and boots including sales tax is 204.98 dollars
Luke ate a snack with 91 total calories. If the chips he ate were 41.2 calories,how many calories were in the rest of his snack?
Answer:
49.8 calories were left!!!
Step-by-step explanation: Just subtract 91-41.2!
In the EAI sampling problem, the population mean is $51,800 and the population standard deviation is $4,000. When the sample size is n = 30, there is a .5034 probability of obtaining a sample mean within +/- $500 of the population mean. A. What is the probability that the sample mean is within $500 of the population mean if a sample of size 60 is used (to 4 decimals)?
B. What is the probability that the sample mean is within $500 of the population mean if a sample of size 120 is used (to 4 decimals)?
A) The probability that the sample mean is within $500 of the population mean for a sample of size 60 is 0.6611
B) The probability that the sample mean is within $500 of the population mean for a sample of size 120 is 0.7362
The EAI (Error of the Estimate) sampling problem is a specific case of the Central Limit Theorem, which states that the distribution of sample means from a population with a finite variance will be approximately normally distributed as the sample size increases.
The formula for calculating the standard error of the mean is
SE = σ/√n
where SE is the standard error, σ is the population standard deviation, and n is the sample size.
For n = 30, SE = 4,000/√30 = 729.16
A. For a sample size of n = 60, SE = 4,000/√60 = 516.40
To find the probability that the sample mean is within $500 of the population mean, we need to calculate the z-score for a range of +/- $500
z = (x - μ) / SE
where x is the sample mean, μ is the population mean, and SE is the standard error.
For a range of +/- $500, the z-scores are
z = ($51,300 - $51,800) / 516.40 = -0.969
z = ($52,300 - $51,800) / 516.40 = 0.969
Using a standard normal distribution table, the area between z = -0.969 and z = 0.969 is 0.6611.
B. For a sample size of n = 120, SE = 4,000/√120 = 368.93
Following the same steps as above, the z-scores for a range of +/- $500 are
z = ($51,300 - $51,800) / 368.93 = -1.364
z = ($52,300 - $51,800) / 368.93 = 1.364
Using the standard normal distribution table, the area between z = -1.364 and z = 1.364 is 0.7362.
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How do you solve for x with segment bisectors?