Answer:
85% level of the confidence interval is
(26.337, 26.662)
Step-by-step explanation:
Explanation:-
Given the size of the sample 'n' = 295
Mean of the sample x⁻ = 26.5
The Standard deviation of the Population = 2.7
85% level of the confidence interval is determined by
[tex](x^{-} - Z_{0.15} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.15} \frac{S.D}{\sqrt{n} })[/tex]
Critical value Z₀.₁₅ = 1.036
85% level of the confidence interval is determined by
[tex](x^{-} - Z_{0.15} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.15} \frac{S.D}{\sqrt{n} })[/tex]
[tex](26.9 -1.036 \frac{2.7}{\sqrt{295} } , 26.5 + 1.036 \frac{2.7}{\sqrt{295} })[/tex]
( 26.5 - 0.1628 , 26.5+0.1628)
(26.3372,26.6628)
4/5 of a cup of strawberries for a single pie.How many cups areneeded for 9 pies
Answer:
7 1/5 cup strawberries
Step-by-step explanation:
put it as a ratio to make it easier
for every 1 pie, you need 4/5 of a cup
if you have 9 pies, you need 9 times 4/5 of a cup of strawberries
9 times 4/5 is 7 1/5
A construction zone on Interstate 15 has a speed limit of 40 mph. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 44 mph and a standard deviation of 3 mph.
Required:
a. Find the percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit.
b. What percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph?
Answer:
a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%
b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%
Step-by-step explanation:
We have to find
a) P(X>40)= 1- P(x=40)
Using the z statistic
Here
x= 40 mph
u= 44mph
σ= 3 mph
z=(40-44)/3=-1.33
From the z-table -1.67 = 0.9082
a) P(X>40)=
Probability exceeding the speed limit = 0.9082 = 90.82%
b) P(50<X<55)
Now
z1 = (50-44)/3 = 2
z2 = (55-44)/3= 3.67
Area for z>3.59 is almost equal to 1
From the z- table we get
P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)
= P(2 < z < 3.67)
= P(z<3.67) - P(z<2)
= 1 - 0.9772
= 0.0228
or 2.28%
I will give brainiest to whoever answers correctly !!
The answer is March 17
Write the equation of the line in slope-intercept form. *
Answer:
y = 2/3x+2
Step-by-step explanation:
expand the expression 8(x-2)
Answer:
8x - 16
Step-by-step explanation:
8(x−2)
=(8)(x+−2)
=(8)(x)+(8)(−2)
=8x−16
2(3x + 4)= 5x + 3x - 4
what is the value of x
Help me with these 2 questions
Answer:
1. 4¼
2. 10 22/35
Step-by-step explanation:
First, find a common denominator, in this case number 1 would contain a common denominator of 4, and for number 2 it could be 35 (7 x 5 = 35).
Then create an equivalent fraction, 1/2 turned into fourths would be 2/4. 2/4 + 3/4 = 5/4, which equals 1 1/4. Then add 1 1/14 + 1 + 2 = 4¼
For number 2, 3/7 = 15/35 and 1/5 = 7/35. Add them and get 22/35, then add the other numbers. 4 + 6 + 22/35 = 10 22/35
List these by number 1-10 from least to greatest
-3(4x-1) + 9x +8x if x = -9
Answer:
-42
Step-by-step explanation:
In which set of points is y a function of x? A. {(1, -2), (0, 1), (1, 1), (1, 2)} B.{(1, 2), (0, 1), (1, 2), (1, 1)} C.{(2, 1), (0, 1), (1, 0), (2, 1)} D.{2, 2), (1, 1), (0, 1), (-1, -1)}
Answer:
D
Step-by-step explanation:
There is no repeated x
The required set of points is y a function of x is C.{(2, 1), (0, 1), (1, 0), (2, 1)}. Option C is correct.
What is set?Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.
A function is a set of ordered pairs where each value of x has only one corresponding value of y. In other words, for a function, there can be only one value of y for each value of x.
So, among the sets of points given, set D, A, and C is not a function of x because the value x=1 has two corresponding values of y.
Therefore, the set of points in which y is a function of x is set C.{(2, 1), (0, 1), (1, 0), (2, 1)} because, for each value of x, there is only one corresponding value of y.
Learn more about sets here:
https://brainly.com/question/8053622
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PLEASE HELP ME THANK YOU ILL MARK BRAINLESS
Answer: y=4/3x-8
Step-by-step explanation:
pls help with atleast one plsss, thank you so much :')
Solve each system using SUBSTITUTION. Remember to check!
1)
y = –2x – 1
y = 3x – 16
2)
y + 6 = 2x
4x – 10y = 4
my answer for #1 is: x=3 y = -7 is this correct? pls correct me
Which problem situation to the equation 72 - 4x = 48
Step-by-step explanation:
[tex]72 - 4x = 48 \\ 72 = 48 + 4x \ \\ 72 - 48 = 4x \\ 24 = 4x \\ 24 \div 4 = x \\ 6 = x [/tex]
If f(x) = 9x - 2 and g(x) = 2x², what is the value of f(4) - g(4)
9514 1404 393
Answer:
f(4) -g(4) = 2
Step-by-step explanation:
Fill in the given values for x and do the arithmetic.
f(4) = 9·4 -2 = 34
g(4) = 2·4^2 = 32
Then ...
f(4) -g(4) = 34 -32
f(4) -g(4) = 2
Two friends each ate 1/2 of a pizza
And......................?????
What is the image of (-8, 2) after a reflection over the y-axis?
Answer:
(8, 2)
Step-by-step explanation:
When taking a point and reflecting it over the y-axis, the x coordinate turns into its opposite.
(-8, 2) ⇒ (8, 2)
What is the slope of the line?
Answer:
[tex]\displaystyle m=-3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 4)
Point (2, -2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{-2-4}{2-0}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-6}{2}[/tex][Fraction] Divide: [tex]\displaystyle m=-3[/tex][tex](0,4) \: \: \: \: (1,1)[/tex]
[tex]m = \frac{4- 1}{0- 1} \\ m = \frac{ 3}{ - 1} \\ m = - 3[/tex]
Answer[tex] \large \boxed { - 3 }[/tex]
plzz help i need to defeat a boss
Answer:
4.78 m
Step-by-step explanation:
From cm to m, you would need to divide 100 to get your conversion answer which is 4.78 m.
When do you use point slope form
Answer:
It can be used as a preference
Answer:
You use point-slope form when you know (or can determine) the slope and the coordinates of one point on the line.
Step-by-step explanation:
You use point-slope form when you know (or can determine) the slope and the coordinates of a point. So, either you are given the slope of the line and a point on the line, or you are given two points on the line and you use the points to determine the slope.
Solve.
9. An airport is located at the point (1, -1). The noise
of planes landing and taking off can be heard up to
3 miles away. Use the equation of a circle to find the
locations that are affected. Assume each unit of the
coordinate plane represents 1 mile.
Answer:
W t f
Step-by-step explanation:
Answer:
Step-by-step explanation:
Can someone please solve ASAP?
Answer: x = 101
Step-by-step explanation:
Answer:
101
Step-by-step explanation:
There are 10 girls for every 12 boys. If there are 50 girls,
how many boys are there?
O a) 60
Ob) 12
O c) 52
d) 62
Answer: A
why does this keep changing to C????
Step-by-step explanation:
10x5 since there are 50 girls
so we would need to multiply 12 by the same number, so the answer is 60.
Explain what the mean absolute deviation is in general
Answer:
Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.
A Box contains 5 purple and 8 yellow marbles what is the probability of successfully drawing in order a purple marble not replacing it and then a yellow marble
Answer:
5 split by 8 is 3 purple Stones
Step-by-step explanation:
That's not Right because 8-5 is 3 but not the Correct coalition
please help meeee evauate 1746\9
i believe the answer is 194
Step-by-step explanation:
just divide 1746 from 9
Answer:
=194
Step-by-step explanation:
yupp you are right
Select the best answer for the question,
15. How many pages does a good résumé have?
Answer:
Two
Step-by-step explanation:
Most likely answer
How long will it take to run up to ∞ kilometers per hour?
Answer:
About 30 min
Step-by-step explanation:
In the accompanying diagram of ABC ca is extended to D, m∠ABC = 70 and m∠BCA =50 Find m∠DAB
Answer:
120 degrees
Step-by-step explanation:
Find the diagram attached.
From the diagram;
Interior angles are m∠BCA and m∠ABC
Exterior angle is m∠DAB
The sum of interior angle of the triangle is equal to exterior
m∠BCA +m∠ABC =m∠DAB
Given
m∠ABC = 70
m∠BCA =50
m∠DAB = 70 + 50
m∠DAB = 120 degrees
Hence the measure of m∠DAB is 120 degrees
What are the coordinates of point B on AC such that AB is 3/4 of AC
Answer:
(1.75,0)
Step-by-step explanation:
look at the picture and answer pls!
Answer:
its b I'm pretty sure........
Answer:
B
Step-by-step explanation:
19 4/3 is positive so you need to make it a negative number so it would be -19 4/3
