Answer:
Using a 95% confidence level, the lower end point of a two-tailed interval that would be used to predict the range of values that this 17th sampled unit would be in with respect to seconds soaking a component part in solution is of 29.137 seconds.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 16 - 1 = 15
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.1315
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.1315\frac{8}{\sqrt{16}} = 4.263[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 33.4 - 4.263 = 29.137 seconds.
Using a 95% confidence level, the lower end point of a two-tailed interval that would be used to predict the range of values that this 17th sampled unit would be in with respect to seconds soaking a component part in solution is of 29.137 seconds.
Please help me!! I will try to give brainliest
Identify the angles that are coterminal with 135 degrees choose all that apply
Answer:ok
Step-by-step explanation:
Graph a line with a slope of 3/4 that contains the point (2,-3)
Answer:
[tex]y=\frac{3}{4} x-\frac{9}{2}[/tex]
Step-by-step explanation:
Y=mx+c
Y=-3, X=2, m=3/4
(2)(3/4)=6/4=3/2
-3-3/2=-9/2
SO,
c=-9/2
How could you put that is a mathematic form??
is (0,3) a solution to y>2
Answer:
y>1
Step-by-step explanation:
WILL BE MARKED BRAINLY
Answer:
112+31=143
180-143=37
DF-->DE-->EF
Step-by-step explanation:
A person must score in the upper 7% of the population on an admissions test to qualify for membership in society catering to highly intelligent individuals. If test scores are normally distributed with a mean of 110 and a standard deviation of 5, what is the minimum score a person must have to qualify for the society
Answer: The minimum score a person must have to qualify for the society = 147.4
Step-by-step explanation:
Let X be the test scores.
As per given,
X is normally distributed.
Mean [tex](\mu) = 110[/tex]
[tex]\sigma=5[/tex]
[tex]$$\begin{array}{l}\quad P(z>2)=0.07 \\\therefore \quad 1-P(z<2)=0.07 \\\therefore \quad P(2<2)=1-0.07 \\\therefore \quad P(2<2)=0.93 \\\qquad \begin{aligned}P(z<1.48) &=0.93[\text { using } z- \text { -table] } . \\z=1.48 \\\text { let } z &=\frac{x-\mu}{\sigma} \\x &=\mu+2 \sigma \\x &=140+(1.48)(5) \\x &=147.4\end{aligned}\end{array}$$[/tex]
The minimum score a person must have to qualify for the society = 147.4
I need the answer in standard form
Answer:
5x+4y = 24
Step-by-step explanation:
We know the y intercept = 6
We can find the slope
(0,6) and (4,1)
m = ( y2-y1)/(x2-x1) = ( 1-6)/(4-0) = -5/4
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = -5/4x+6
Multiply each side by 4
4y = -5x+24
Add 5x to each side
5x+4y = 24
The standard form of a line is
Ax +By = C where A,B C are integers and A > 0
What are the 4 steps to solving an equation?
Answer:
Adding, Substracting, multiplication and division. If you add the same number to both sides of an equation, both sides will remain equal.
Step-by-step explanation:
Rectangle PQRS is shown with its diagonals, PR and QS.
Rectangle P Q R S is shown. Diagonals are drawn from point P to point R and from point S to point Q and intersect at point T.
What type of triangle is △STR?
right triangle
equilateral triangle
isosceles triangle
scalene triangle
Answer:
the triangle is an isosceles triangle
The type of triangle STR is Isosceles triangle
Properties of a rectangleOpposite side are parallelOpposite sides are congruentOpposite angles are congruentDiagonal are congruent and they bisect each other.Since the diagonal bisect each other, the triangle STR formed has two opposite sides equal to each other and the base angle of the triangle STR are congruent.
Therefore, triangle STR is an Isosceles triangle.
Isosceles triangle have two of it sides equal to each other.
learn more on rectangle here: https://brainly.com/question/2229933
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.16. The probability that it will not rain and the flight will leave on time is 0.79. What is the probability that it is not raining if the flight has been delayed?a. P(delayed | rain) = 0.08.
b. P(delayed | rain) = 0.083.
c. P(rain | delayed) = 0.06.
d. P(rain | delayed) = 0.056.
Answer:
The appropriate answer is "0.437".
Step-by-step explanation:
Given:
P(rain) = 0.14
then,
P(no-rain) = 1-P(rain)
= 1-0.14
= 0.86
P(delay) = 0.16
P(rain and on time) = 0.79
then,
By using the conditional probability, we get
⇒ [tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]
or,
⇒ [tex]P(no \ rain|delay) = \frac{P(no \ rain \cap delay)}{P(delay)}[/tex]
By substituting the values, we get
⇒ [tex]=\frac{0.07}{0.16}[/tex]
⇒ [tex]=0.437[/tex]
Suppose a large shipment of telephones contained 21% defectives. If a sample of size 498 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 3%
Answer:
[tex]P(-3\% < x < 3\%) = 0.901[/tex]
Step-by-step explanation:
Given
[tex]p = 21\%[/tex]
[tex]n = 498[/tex]
Required
[tex]P(-3\% < x < 3\%)[/tex]
First, we calculate the z score
[tex]z = \sqrt{p * (1 - p)/n}[/tex]
[tex]z = \sqrt{21\% * (1 - 21\%)/498}[/tex]
[tex]z = \sqrt{21\% * (79\%)/498}[/tex]
[tex]z = \sqrt{0.1659/498}[/tex]
[tex]z = \sqrt{0.000333}[/tex]
[tex]z = 0.0182[/tex]
So:
[tex]P(-3\% < x < 3\%) = P(-3\%/0.0182 < z <3\%/0.0182)[/tex]
[tex]P(-3\% < x < 3\%) = P(1.648 < z <1.648)[/tex]
From z probability, we have:
[tex]P(-3\% < x < 3\%) = 0.901[/tex]
Does anyone know what is a passing grade in high school?
Answer:
yes. In highschool the passing grade is
80-89 (B) thats pretty much good.
70-79 (C) average
65-69 (D) passing
BELOW 65 (F) FAILING
Although A - is the highest grade you can receive on an assignment, and it's between 90% and 100% ... D - this is still a passing grade, and it's between 59% and 69% F - that pretty much a failing grade.
What expressions are
equivalent to 4(z+3)?
Answer:
4z+12
hope this helps
have a good day :)
Step-by-step explanation:
What is the volume of the following rectangular prism?
Answer:
V=27/2 units^3
Step-by-step explanation:
The volume of a rectangular prism is l*w*h
V=l*w*h
We are already given the w*h, which is 27/5 units^2.
Now all we need to do is multiply that with the length, 5/2 units. So,
V=(5/2 units) * (27/5 units^2)
V=27/2 units^3
PLEASEEEEE IM BEGGING SOMEONE I NEEED HELPPPPPPPPPPP PLEASEEEEEEEEE
Answer:
6
Step-by-step explanation:
Graphically, this is a very easy question to cheat through. I'll show the easiest way to solve.
First, add the four squares that make up the square in the center of the quadrilateral. Now, notice that the two triangles left on the ends are exactly the same size. So if you put them together, the cover up two more squares. Which gives you 2 + 4 =6.
Or the mathematical way which is to find the area of the square as 2 * 2 = 4
and the area of one triangle as 1/2 * 2 * 1 = 1 ad the other triangle is the same. So add all three 4 + 1 + 1 = 6
Which is the smallest of these
fractions', '/8, 1/4,?/s, '/2.
Answer:
1/8
Step-by-step explanation:
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What are the coordinates of the point that is of the way from A(-8, -9) to
B(24, -1)?
O A. (-6,4)
B. (12,-4)
C. (4,-6)
O D. (-2, 4)
Answer:
c
Step-by-step explanation:
.
sure Yan pre
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Use the square roots property to solve equation (6x-7)/2+4=21
Answer:
[tex]22\frac{1}{6}[/tex]
Step-by-step explanation:
2+4=6
21X6=126
126+7=133
133/6= 22R1
PLS HELP!! need the answer asap
Answer:
x = 8
Step-by-step explanation:
Since the lines are parallel:
the given angles are alternate exterior angles and alternate exterior angles has same measures
8x = 64 divide both sides by 8
x = 8
Please help find domain and range
========================================================
Explanation:
We want to avoid having a negative number under the square root. Solving [tex]x-4 \ge 0[/tex] leads to [tex]x \ge 4[/tex]
So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.
So in reality, the domain is x > 4.
-------------
The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.
We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression [tex]\frac{3}{\sqrt{x-4}}[/tex] is positive because positive/positive = positive.
Therefore, the range of the given equation is y > 0
-------------
The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).
0)
Х
у
0 3
1
1
2-11
Which function corresponds to the table?
A)
y = 3x - 2
B) is eliminated
C)
y = -2x + 3
D)
y = -3x + 2
Answer:
c
Step-by-step explanation:
0 is at 3 so its +3
the difference between y's is -2 and between x's is 1 so -2/1 is -2 as you slope
Develop the three-week moving average forecasts for this time series. (Round your answers to two decimal places.)WeekTime SeriesValueForecast118211316410 Incorrect: Your answer is incorrect.517 Incorrect: Your answer is incorrect.615 Incorrect: Your answer is incorrect.Compute MSE. (Round your answer to two decimal places.)MSE
Answer:
Three-week moving average forecast
[tex]\begin{array}{ccc}{Week} & {Time\ Series\ Value} & {Forecast} & {1} & {18} & { } & 2 & {13} & { } & {3} & {16} & { } & {4} & {11} & {15.67 } & 5 & {17} & {13.33 } & {6} & {14} & {14.67 } \ \end{array}[/tex]
[tex]MSE = 11.90[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccccc}{Month} & {1} & {2} & {3} & {4} & {5}& {6} & {Value} & {18} & {13} & {16} & {11} & {17} & {14} \ \end{array}[/tex]
Solving (a): Three-week moving average forecast
This is calculated as:
[tex]F_{t+1} = \frac{\sum recent\ k\ data}{k}[/tex]
Since it is three-week, we start from t = 3
For t = 3; we consider months 1, 2 and 3
[tex]F_{3+1} = \frac{18 + 13 + 16}{3}[/tex]
[tex]F_{4} = \frac{47}{3}=15.67[/tex]
For t = 4; we consider months 2, 3 and 4
[tex]F_{4+1} = \frac{13 + 16+11}{3}[/tex]
[tex]F_{5} = \frac{40}{3}=13.33[/tex]
For t = 5; we consider months 3, 4 and 5
[tex]F_{5+1} = \frac{16+11+17}{3}[/tex]
[tex]F_{6} = \frac{44}{3}=14.67[/tex]
So, the forecast are:
[tex]F_{4} =15.67[/tex]
[tex]F_{5} = 13.33[/tex]
[tex]F_{6} = 14.67[/tex]
[tex]\begin{array}{ccc}{Week} & {Time\ Series\ Value} & {Forecast} & {1} & {18} & { } & 2 & {13} & { } & {3} & {16} & { } & {4} & {11} & {15.67 } & 5 & {17} & {13.33 } & {6} & {14} & {14.67 } \ \end{array}[/tex]
Solving (b): MSE
To do this, we simply calculate the square of the forecast error
The forecast error (E) is:
[tex]E = Time\ Series\ Value - Forecast[/tex]
So, we have:
Forecast error The square
[tex]E_4 = 11 - 15.67 = -4.67[/tex] [tex]E_4^2 =21.81[/tex]
[tex]E_5 = 17 - 13.33 = 3.67[/tex] [tex]E_5^2 = 13.45[/tex]
[tex]E_6 = 14 - 14.67 = -0.67[/tex] [tex]E_6^2 = 0.45[/tex]
[tex]MSE = \frac{E_4^2 + E_5^2 + E_6^2}{3}[/tex]
[tex]MSE = \frac{21.81 + 13.45 + 0.45}{3}[/tex]
[tex]MSE = \frac{35.71}{3}[/tex]
[tex]MSE = 11.90[/tex]
Ken normally leaves work at 5:00 pm, but he is leaving 20 minutes late today. He decides to make up time by taking the toll road instead of side streets. He can travel three times faster by taking the toll road. Create an equation in terms of x to represent the number of minutes after 5:00 pm he arrives home from work if he leaves late. Let x represent the number of minutes his normal commute takes when he leaves on time.
y equals one third times x plus twenty
y = 3x + 20
y equals one third times x minus twenty
y = 3x − 20
NO LINKS
Answer:
y =1/3x+20
Step-by-step explanation:
He starts 20 minutes late so we need to add 20 minutes to the time
He travels 3 times faster so he takes 1/3 of the normal time x
y =1/3x+20
Answer:
A) y = 1/3x + 20
can someone help me please! it's dude today in 30 minutes & i am having a hard time .
x = 109
Step-by-step explanation:
1. All of a triangles angles will add up to 180 degrees
2. Take 180 then subtract 48 from 180
3. Your new number is now 132. Take 132 then subtract 23.
4. Answer is 109
Answer:
x=109°
Step-by-step explanation:
In a triangle, all the angles have to add up to 180° and so add and then subtract to find x
48+23=71
180-71=109
so, x=109°
Solve the equation. Check your Solution.
-3 1/3 ÷ -1/2
Answer:
1.6 or 1.67
Step-by-step explanation:
How many triangles of any size are there in a star?
There are many shapes of a star. It depends on the shape of the star. If you’re referring to this star, then the number of triangles is 5.
Hope this answers your question!
Which function is graphed on the right? y = 2x+3 – 2 y = 2x–3 + 2 y = 2x–2 + 3 y = 2x–2 – 3 On a coordinate plane, an exponential function approaches y = 3 in quadrant 2 and increases exponentially in quadrant 1.
Answer:
(B) Second Graph
Step-by-step explanation:
Edge 2021
Answer:
C on edge 2022
Step-by-step explanation:
y = 2^x–2 + 3
If point A, having
coordinates (p, 3) and
point B, with coordinates
(6, p) lie on a line having
a slope of 2, what is the
value of p?
gradient or slope=y2 -y1
x2 - x1
so for A, p is x1 and 3 is y1..
For B, 6 is x2 and p is y2
2= p - 3
6 - p
2 ( 6 - p) = p - 3
12 - 2p = p - 3
-2p + p = -3 - 12
-p = - 15
p = 15
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal? points anyone
Answer:
77
Step-by-step explanation:
13 x 77 = 1001 which is 1 more than enough, so the answer would be 77.
Answer:
77 boxes
Step-by-step explanation:
Hello there! Let's solve this problem together:
First, we will review our numbers.
13 girls have to sell 1,000 boxes.
Now, we will do the math.
We will solve this problem by dividing.
We will keep multiply by one until we reach 1000 or more.
They have to each sell at least 77 boxes.
Best of Luck!