Answer:
The slope is 2
Step-by-step explanation:
y1-y2 . 6--6
--------- ------ =2
x1-x2 . 2--4
A sample of 87 glass sheets are measured for thickness. They have a sample mean of 4.20 mm and a sample standard deviation of 0.10 mm. What is the level of the confidence interval (4.185, 4.215)?
Answer:
83.85%
Step-by-step explanation:
The formula for confidence interval
= Mean ±( z × Standard deviation/√n)
Confidence Interval = Mean ± Margin of Error
Mean = 4.20mm
n = 87
Standard deviation = 0.10mm
z = ????
Hence:
Confidence Interval = Mean ± Margin of Error
Step 1
We find the Margin of Error
(4.185, 4.215) = 4.20 ± Margin of Error
4.20 - 4.185 = 0.015
4.215 - 4.20 = 0.015
Hence, Margin of Error = ± 0.015
Step 2
We find the z score
Margin of Error = z × Standard deviation/√n
±0.015 = z × 0.10/√87
± 0.015 = 0.0107211253z
z = ±0.015/0.0107211253
z = 1.39910686428
z score ≈ 1.4
Step 3
We find the confidence interval that corresponds to 1.4
Using the z table to find the Probability
P(z = 1.4) = 83.85%
Therefore, the level of the confidence interval (4.185, 4.215) is 83.85%
Answer:
[4.1mm to 4.3mm]
Step-by-step explanation:
Sample size = 87 glass sheets
Sample mean = 4.2mm
Sample standard deviation = 0.1mm
Confidence interval or level = the range from lower limit of sample mean to upper limit of sample mean
[4.2 - 0.1] to [4.2 + 0.1] = [4.1mm to 4.3mm]
what number is the smallest .12 or.079
Answer:
.079 is the smallest
Answer:
.079 would be smaller than .12.
Step-by-step explanation:
Since the tenths place in .079 has a zero and tenths place in .12 has a 1, .12 would be larger.
Simplify.
4(1 + 8 . 9) - 6^2
Answer:
Of what grade this is question
7х + Зу = 15
Slope intercept form steps
Answer:
y = -7/3x + 5
Step-by-step explanation:
7x + 3y = 15
- subtract 7x from both sides
3y = -7x + 15
- divide both sides by 3
y = -7/3x + 5
What's the answer for this problem number 6 and how did you get your answer?
[tex] \frac{7}{b + 5} = \frac{10}{5} \\ [/tex]
[tex] \frac{7}{b + 5} = 2 \\ [/tex]
Multiply the sides of the equation by ( b + 5 ) :
[tex]7 =2 \times (b + 5)[/tex]
[tex]7 = 2b + 10[/tex]
Subtract the sides of the equation minus 10 :
[tex]7 - 10 = 2b[/tex]
[tex] - 3 = 2b[/tex]
Divided the sides of the equation by 2 :
[tex]b = - \frac{3}{2} \\ [/tex]
____________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
HELP PLZ IT would mean a lot
Answer:
Since this is a proportional relationship,
We know that the number which are proportional are a multiple of each other
the number which we can multiply one of the numbers to get the other number is the constant of proportionality
we could check for proportionality by using the following formula:
p1 / s1 = p2/s2 = p3/s3 = p4/s4 if they were equal, we can say that the relation is proportional
The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality
Therefore, the constant of proportionality = 20 / 5 = 4
Find the missing factor.
80 X
640.000
Select three ratios that are equivalent to 5:2
Choose 3 answers:
Answer:
10:4
35:14
55:22
that is my question
The linear function that is represented by which table has the same slope as the graph?
Answer:
c
Step-by-step explanation:
Answer: Option C
(C) or Taable 3
Step-by-step explanation:
2, 6,10,...
Find the 39th term.
the answer is 154 count by 4's
Step-by-step explanation:
14,18,22,26,30,34,38,42,46,50,54,58,62,66,70,74,78,82,86,90,94,98,102,106,110,114,118,122,126,130,134,138,142,146,150,154,158,162
Answer:
the answer is 154
Step-by-step explanation:
you add 4 every time
Round 2,329.48 to the nearest hundred
Answer:
2300
Step-by-step explanation:
4x-5≥7 in interval notation
Answer:
4x - 5 > 7 = [3,∞)
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
4x > 12
Divide each term by 4 and simplify.
x > 3
Convert the inequality to interval notation.
[3,∞)
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
ANSWER ASAP PLEASE!!!!!!!
IQ scores have a mean of 100 and a standard deviation of 15. Kate has an IQ of 121. (a) What is the difference between Kate's IQ and the mean
Answer:
(a) The difference between Kate's IQ and the mean is 21
(b) The z score is 1.4
Step-by-step explanation:
Here is the complete question:
IQ scores have a mean of 100 and a standard deviation of 15. Kate has an IQ of 121. (a) What is the difference between Kate's IQ and the mean (b) Convert Kate's IQ score to a z score.
Step-by-step explanation:
(a) To determine the difference between Kate's IQ and the mean, this can be done by subtracting the mean from Kate's IQ.
Mean = 100
Kate's IQ = 121
Difference between Kate's IQ and the mean = 121 - 100 = 21
Hence, the difference between Kate's IQ and the mean is 21.
(b) To convert Kate's IQ score to a z score,
z score is given by the formula
[tex]z =\frac{x - \mu}{\sigma}[/tex]
Where [tex]x[/tex] is the score
[tex]\mu[/tex] is the mean
and [tex]\sigma[/tex] is the standard deviation
From the question,
[tex]x[/tex] = 121
[tex]\mu[/tex] = 100
[tex]\sigma[/tex] = 15
Then, the z score is
[tex]z =\frac{x - \mu}{\sigma}[/tex]
[tex]z =\frac{121 - 100}{15}[/tex]
[tex]z =\frac{21}{15}[/tex]
[tex]z =\frac{7}{5}[/tex]
z = 1.4
Hence, the z score is 1.4.
What would make the following equation true?
-4+_____=2m+(3m-4)
least common denominator of 11/6 and 1/5
Answer:
The least common denominator would be 30.
Step-by-step explanation:
5- 5, 10, 15, 20, 25, 30, 35, 40
6- 6, 12, 18, 24, 30, 36 42, 48
Translate this sentence into an equation.
The difference of Craig's age and 15 is 53
Use the variable c to represent Craig's age.
ILL GIVE YOU EXTRA POINTS AND BRAINLIEST
Question 7(5 points (02.03 M The figure shows two triangles on a coordinate grid: What set of transformations is performed on triangle ABC to form triangle AB'C7 (5 points) Oa A 180-degree counterclockwise rotation about the origin, followed bya translation 5 units down Ob Atranslation 5 units down followed by a 180-degree counterclockwise rotation about the origin Oc A270-degree countercdockwise rotation about the origin, followed by a translation 5 units to the right O d Atranslation 5 units to the right, followed by a 270-degree counterclockwise rotation about the origin
Answer:
I think its b
Step-by-step explanation:
by moving it 5 units down, A' will become (-4,-4), and a 180° would make A'' (4,4). (I haven't taken geometry in a few years, so if im wrong, I'm sorry)
Answer:
B
Step-by-step explanation:
I took the test
PLEASE HELPMME WITH THIS QUESTION
Answer:
12
Step-by-step explanation:
Maya is estimating the product of 88 and 12. Which statements are true? Check all that apply.
If she rounds both values to the nearest ten, her estimate will be 800.
If she rounds both values to the nearest ten, her estimate will be 900.
If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000
If she rounds both values to the nearest ten, her estimate will be 1,600.
If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 2,000.
Answer:
If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000 because if you take 88x12, your answer is 1056. so knowing that the closest answer to 1056 is 1000 not 900.
Hope it helped!
Answer:
If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000.
Step-by-step explanation:
Solve the equation
∣x−2∣=∣4+x |
x=
Answer:
[tex]\large\boxed{\mathtt{x=-1}}[/tex]
Step-by-step explanation:
[tex]\textsf{For this problem, we are asked to solve the equation for x.}[/tex]
[tex]\textsf{Note that there are lines in between both expressions, this is asking for the \underline{Absolute Value}.}[/tex]
[tex]\large\underline{\textsf{What is Absolute Value?}}[/tex]
[tex]\textsf{Absolute Value is exactly how it sounds like, it's the real value of a term.}[/tex]
[tex]\textsf{Absolute Value turns negative numbers into positive numbers.}[/tex]
[tex]\textsf{*A Negative Value isn't really the real value of a number. A Positive Value is.}[/tex]
[tex]\underline{\textsf{Example;}}[/tex]
[tex]\tt {Change \ from \ Negative \ to \ Positive.} \atop \boxed{{|-5| \rightarrow 5.}}[/tex]
[tex]\large\underline{\textsf{Keep the Absolute Values!}}[/tex]
[tex]\textsf{We shouldn't try to find the absolute value of the expressions first.}[/tex]
[tex]\textsf{Instead, identify 2 possible equations using Absolute Value.}[/tex]
[tex]\textsf{There could be 2 possible solutions for x.}[/tex]
[tex]\tt x-2=4+x[/tex]
[tex]\underline{\textsf{Or;}}[/tex]
[tex]\tt x-2=-(4+x)[/tex]
[tex]\large\underline{\textsf{Solve the First equation;}}[/tex]
[tex]\tt x-2=4+x[/tex]
[tex]\underline{\textsf{Add 2 to both sides of the equation;}}[/tex]
[tex]\tt x=6+x[/tex]
[tex]\textsf{There is \underline{no} solution for this equation. We should look at the second equation.}[/tex]
[tex]\large\underline{\textsf{Solve the Second equation;}}[/tex]
[tex]\tt x-2=-4-x[/tex]
[tex]\underline{\textsf{Add 4 to both sides of the equation;}}[/tex]
[tex]\tt x=-x-2[/tex]
[tex]\underline{\textsf{Add x to both sides of the equation;}}[/tex]
[tex]\tt 2x=-2[/tex]
[tex]\underline{\textsf{Divide each side by 2;}}[/tex]
[tex]\large\boxed{\mathtt{x=-1}}[/tex]
[tex]\textsf{Using Absolute Value, x = -1.}[/tex]
BRAINLIST AND 20 POINTS I REALLY NEED HELP ASAP (10 POINTS FOR EACH QUESTION)
Answer:
7 bottles
$10
Step-by-step explanation:
multiply
1/6×42= 7 bottles
5/9×18= $10
Members of a youth group held a bake sale to raise money for their summer trip. They sold 30 cakes, 40 pies, and 200 giant cookies, and raised a total of $684.50. The price for a pie was $2.00 less than the price of a cake. The price of a cake was 5 times as much as the price for a giant cookie. Find the price for each item at the bake sale
Answer: Cost of a giant cookies = $1.39
Cost of a cake= $6.95
Cost of a pie= $4.95
Step-by-step explanation:
Let price of a giant cookie = x
Then,
price of a cake = 5x
Price of a pie = 5x-2
Cost of 30 cakes, 40 pies, and 200 giant cookies = 30 (5x)+40(5x-2)+200x
= 150x+200x-80+200x [By distributive property a(b+c)=ab+ac]
= 550x-80
Given cost = $684.50
[tex]\Rightarrow\ 550x-80=684.50\\\\\Rightarrow\ 550x= 684.50+80[/tex]
[tex]\Rightarrow\ 550x=764.50\\\\\Rightarrow\ x=\dfrac{764.50}{550}\\\\\Rightarrow\ x=1.39[/tex]
Cost of a giant cookies = $1.39
Cost of a cake = 5 x $1.39 = $6.95
Cost of a pie = $6.95 - $2 = $4.95
You are facing West. Turn 90 degrees left. Turn 180 degrees
right. Reverse direction. Turn 45 degrees left. Reverse direction.
Turn 270 degrees right.
In which direction are you now facing?
You would be facing Northeast.
i have to solve this −2×8/3=
Answer:
-2 times 8\3
Step-by-step explanation:
the answer is -48
Answer: -5 1/3
Step-by-step explanation: First, convert -2 into a fraction by putting a 1 under the -2. So, you should have -2/1. Since, you‘re multiplying a negative times a positive, you’re answer should be negative. Next, multiply -2/1 x 8/3 by cross multiplying. You should end up with an answer of -5 1/3.
|-4| + |-5| i need help!!!
Answer:
9
Step-by-step explanation:
The absolute value of any number is just its distance from 0.
-4 is 4 away from 0, so its absolute value is 4.
-5 is 5 away from 0, so its absolute value is 5.
Therefore, the equation is basically just asking what is 4 + 5, which is 9 :D.
Answer:
9
Step-by-step explanation:
The bars around the two numbers imply that it wants you to find the absolute value. Absolute value is the distance a number is from zero since distance is always positive to find the answer just make the number positive. Following this rule l-4l=4 and l-5l=5. Then add them together 4+5=9.
Order the following from least to greatest: 37, -9, -14, 34, -47, -18, 26
An ice cream truck vender sells 15 vanilla ice cream bars every 2 hours At this rate, how many hours does it take the vendor to sell 90 vanilla ice
cream bars?
675 hours
103 hours
T7 hours
12 hours
Answer:
12 hours
Step-by-step explanation:
15/2=7.5
90/7.5 = 12
Solve for w.
3w+2w= 10
Simplify your answer as much as possible.
W =
Answer:
3w+2w= 10
5w= 10
w = 10/5
w = 2
Answer:
w = 2
Step-by-step explanation:
3w+2w= 10
Combine like terms
5w = 10
Divide each side by 5
5w/5 = 10/5
w = 2