Answer:
-z+4=-4
Step-by-step explanation:
First, you want to move the positive four to the other side to isolate the variable.
-z=-8
You cannot have a negative variable, so divide both sides by 1.
-z/1=-8/1
Your answer would be:
Z=8
Hope this helps!!
Suppose 49% of the population has a retirement account. If a random sample of size 896 is selected, what is the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3%?
Answer:
The probability is [tex]P( |\^ p - p | < 0.03 ) = 0.9275[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.49[/tex]
The sample size is n = 896
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma_{p} = \sqrt{ \frac{p(1 -p )}{n} }[/tex]
=> [tex]\sigma_{p} = \sqrt{ \frac{0.49(1 -0.49 )}{896} }[/tex]
=> [tex]\sigma_{p} = 0.0167[/tex]
Generally the the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3% is mathematically represented as
[tex]P( |\^ p - p | < 0.03 ) = P( \frac{ | \^ p - p|}{\sigma_p } < \frac{0.03}{0.0167} )[/tex]
[tex]\frac{|\^ p - p |}{\sigma_p } = |Z| (The \ standardized \ value\ of \ |\^p - p| )[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = P(|Z| < 1.796 )[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = P(- 1.796 < Z < 1.796 )[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = P(1.796 < Z) - P(Z < -1.796 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.796 and - 1.796 is
[tex]P(Z < -1.796 ) = 0.036247[/tex]
[tex]P(1.796 < Z) = 0.96375[/tex]
So
[tex]P( |\^ p - p | < 0.03 ) = 0.96375 - 0.036247[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = 0.9275[/tex]
How many different committees can be formed from 8 teachers and 39 students if the committee consists of 2 teachers and 4 students?
Answer:
Step-by-step explanation:
8 učiteľov 39 študentov
1 výbor = 2 učitelia + 4 študenti
8 učiteľov :2=4
39 študentov :4= 9,75
Takže máme 4 výbory ...viacej to nemôže byť aj keď nám zostávajú študenti pretože je daný počet učiteľov...
Answer: 2303028
Step-by-step explanation:
What is the solution to the following inequality?
*** <5
O w>4
0 > 2
O <4
0 0 <16
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Inequalities.
so we get as,
(w+6)/2 < 5
so we get as,
w+6 < 10
=> w < 10-6
=> w < 4
so the answer is,
w < 4
How does the value of 874.12 change if the decimal point is moved two places to the left?
I would think it would be 8.7412
What slope would make the lines
parallel?
y = x + 6
y = [?]x+4
Answer:
1
Step-by-step explanation:
Parallel lines have the same slope and it is understood for 1 to be the number in front of the x if there isn't one so, the slope or number for the second line would also be 1.
I need help on all three questions (geometry)
Answer:
x = -7
m<GFD = 50°
m<CFD = 40°
Segment FD doesn't bisect <CFG because the angles aren't equal.
Step-by-step explanation:
<CFD and <GFD are complementary angles and their sum is 90°
-5x + 5 -7x + 1 = 90° add like terms
-12x + 6 = 90
-12x = 84 divide both sides by -12
x = -7
m<CFD is -5x + 5 ➡ (-5)×(-7) + 5 = 40°
m<GFD is -7x + 1 ➡ (-7)×(-7) + 1 = 50°
a positive number is always___ than a negative number
it's always a larger number.
Reduce the fraction to the lowest term
[tex] \frac{4}{8} [/tex]
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To reduce the fraction to the lowest term, we divide the like term by the GCF of its numerator and denominator.
Here,
As 4 and 8 have the GCF as 4 itself. We divide both the numerator and denominator with the GCF (4).
Hence,
[tex]\frac{4}{8}\\=\frac{4}{8}/\frac{4}{4} \\=\frac{4/4}{8/4} \\=\frac{1}{2}[/tex]
PLEASE HELP!!!!!!
Matt, Steve and John sold magazines for a school fundraiser. John sold two less than Matt. Steve sold twice as many as John. Write a simplified expression representing the total amount of magazines sold
Answer:
4x - 6
Step-by-step explanation:
Matt: x
Steve: 2(x - 2)
John: x - 2
Total magazines sold:
x + 2(x - 2) + (x - 2)
x + 2x - 4 + x - 2
4x - 6
can someone help me with a question i will give brainlyest
Answer:
what is the question
find square root of 128881 by division method
3.) There are 1,000 marbles in a large box. Johnny took a scoop of marbles from the box. He
counted 15 red marbles, 20 green marbles, and 5 blue marbles. If the scoop was a good
sample of the marbles in the large box, how many red marbles would you expect to find in
the large box?*
O A) 150 reds
O B) 375 reds
O C) 600 reds
OD) 800 reds
Answer: B) 375 reds
Step-by-step explanation:
Every 40 marbles 15 are red.
1000/40=25
25 x 15= 375
-(x + 3) -2(4x -3)
guys pls
Answer:
-9x+3
Step-by-step explanation:
remove parenthesis which gives you -x-3-8x+6
collect the like terms add -x to 8x
gives you -9x+3
jordan can jog 1/3 of a mile in 1/6 of an hour.what is his speed in miles per hour
Answer:
cook
Step-by-step explanation:
What is the quotient of 6 and -1/2?
Michael has an average daily balance on his credit card of $327.50. His credit card charges 11.99% annual interest. What will his monthly finance charge be?
Answer:
i Think its 36.03
Step-by-step explanation:
np!
Help 8th grade math... it's hard lol
Answer:
y = 7
Step-by-step explanation:
The equation of the line is y = 7 because since it's a horizontal line the y value will always stay the same, and the x value will always be changing. Therefore you could draw a line straight across the y-axis at 7
Which of the following represents the greatest percent error?
A $10 underpayment on a $30 restaurant bill
B Hope to make 20 bracelets in a week and actually make 25
C
Actual ->
Error->
D Incorrectly estimate a length of 100 cm to be 125 cm
When there is actual error so it shows the greatest percent error. Therefore, the option c is correct.
What is the percent error?It shows the difference that lies between the estimated value and the actual value when we compare to the actual value also it should be shown in the percentage form.
Therefore, When there is actual error so it shows the greatest percent error. Therefore, the option c is correct.
Learn more about an error here: https://brainly.com/question/3388972
Tell whether the x- and y-values in the table show a proportional or non-proportional relationship. If the relationship is proportional, tell the rule. Select one:
aProportional; x = 3/7y
bNon-proportional
cProportional; x=1/3y
dProportional; x=2/5y
Answer:
b. Non-proportional
Step-by-step explanation:
A table of values that represents a proportional relationship will have the same ratio of every pair in the given table. That is, y/x will result in the same value all through for every given pair.
The table of values given does not show a proportional relationship, because the ratio of y to x of each given pair of values are different and unequal:
y/x = 3/1 ≠ 5/2 ≠ 7/3 ≠ 9/4
Therefore, it is non-proportional.
Which inequality is a true statement?
Select each correct answer.
A −4≤−5
B −4=−5
C −4≥−5
D −4>−5
E −4<−5
Answer:
C and D are the right answers
Step-by-step explanation:
Can you help me I’ll give Brainlies 20 point
GCF QUESTION FIRST TO ANSWER WITH THE CORRECT ONE AND EXPLAIN IT TO ME WILL GET BRAINLIEST
Answer:
2a^2
Step-by-step explanation:
I can't really explain the GCF/LCM type problems ,my sincere apologies
Order these numbers from least to greatest.
8.4051, 8.009, 8.4, 8.09
Answer:
8.009, 8.09, 8.4,8.4051
Step-by-step explanation
the 8.009 goes first because since it has zeros in it it would be the lowest than 8.09 is the next smallest 8.4 is the next big number because four is greater than zero and the biggest number because its has the bigger numbers in it.
Hope my explanation makes sense
Hope this is right
Good luck
Estimate the sum to 518+251
Answer:
If you need to estimate then 770?
Step-by-step explanation:
520+250=770
What is an equation of the line that passes through the points (5,-2) and ( -5,0)?
Put your answer in fully reduced form.
9514 1404 393
Answer:
y = -1/5x -1
Step-by-step explanation:
When given 2 points, it can work well to start with the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (0 -(-2))/(-5 -5)(x -5) +(-2)
y = 2/(-10)(x -5) -2
y = -1/5x -1 . . . . . eliminate parentheses and collect terms
Will mark brainliest!
Answer:
4.817+9.099+17.008=30.924
484.603-48.198=436.405
Estimation 5+9+17=31
485-48=437
Just round each decimal to the nearest whole number and add or subtract
Answer:
first blank: 30.924
second blank: 436.405
Step-by-step explanation:
We can estimate by rounding numbers and adding
In honors math increased by 12% in this year students-
if S represents students than an expression to represent this is 1.12S
True or false
Answer:
True I think.
Step-by-step explanation:
True, An expression to represent this is, 1.12S
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
We have to given that;
In honors math increased by 12% in this year students.
Now, if S represents students.
Then, An expression to represent this situation is,
⇒ S + 12% of S
⇒ S + 0.12S
⇒ S (1 + 0.12)
⇒ 1.12S
Thus, The expression is true.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
A food processing plant is packaging 32oz bags of coffee beans. The tolerance is 0.25 ounces. 100 bags of coffee were weighed, and the number at each weight is shown in the table below:
Weight # of bags
31.25. 1
31.7. 3
31.8. 3
31.83. 6
31.9. 15
32. 49
32.1. 14
32.2. 5
32.24. 2
32.3. 2
If more than 1 in 10 bags is outside of the acceptable tolerance, the bagging line is paused until the problem is identified. Does the line need to be paused?
Answer: No
Step-by-step explanation:
What are the x and y intercepts???
Answer:
X intercept = 6
Y intercept = -3
Step-by-step explanation:
An intercept is where the line goes through the y and x axis on the axis!
find the slope of the line passing through the given points or the given line.
Answer:
y = -1
Step-by-step explanation:
since this is a straight, horizontal line, we know that this will just be a y value line
since the line passes through the y axis at y = -1, this is the equation for the line
y = -1