Answer:
The 90% confidence interval is [tex] 87.95 < \mu < 92.05 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 28[/tex]
The sample mean is [tex]\= x = 90[/tex]
The standard deviation is [tex]s= 60[/tex]
Generally given that the sample size is not large enough i.e n < 28 then we will make use of the t distribution table
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 28 - 1[/tex]
=> [tex]df = 2 7[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the student t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 2 7[/tex] is
[tex]t_{\frac{\alpha }{2} , 27 } = 2.052[/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]90 - 2.052 < \mu < 90 + 2.052 [/tex]
=> [tex] 87.95 < \mu < 92.05 [/tex]
Need answer asap pls..............
Answer:
These go up by 1.
Step-by-step explanation:
10 20 30 40 50 60 70 80 90
1 + 1 = 2
2 + 1 = 3
3 + 1 = 4, and so forth.
Answer:
A (they go up by one )
Step-by-step explanation:
10, 20 , 30 ,40,50 The tens place goes up by 1 each time
Which fractions are equivalent to 1/8+5/8? Check all that apply.
Answer:
3/4 and 12/16
Step-by-step explanation:
[tex]\frac{1}{8} +\frac{5}{8} =\frac{1+5}{8} =\frac{6}{8} =\frac{3}{4} \\\\\frac{12}{16} =\frac{3}{4}[/tex]
40% of x is 35 Write an equation that shows the relationship of 40%, X, and 35.
Use your equation to find x. Show your reasoning
Answer:
87.5
Step-by-step explanation:
Please help I have ten minutes
Answer:
$10 per hour
Step-by-step explanation:
As you can see, at (2, 20) the employee earns 20 dollars for 2 hours and at (4, 40) we can see the employee earn $40 per 4 hours. So we can find the slope of these two points to get the answer.
Slope formula y1-y2/x1-x2
so plug it in
40-20/4-2 and we get 20/2 =10
The point R(-3,a,-1) is the midpoint of the line segment jointing the points P(1,2,b)
and Q(c,-7,4)
Find the values of:
a=
b=
C=
Answer:
The values are:
a = -5/2
b = -6
c = -7
Step-by-step explanation:
Given
P = (x₁, y₁, z₁) = (1, 2, b)
Q = (x₂, y₂, z₂) = (c, -7, 4)
As the point R(-3, a, -1) is the midpoint of the line segment jointing the points P(1,2,b) and Q(c,-7,4), so
m = R = (x, y, z) = (-3, a, -1)
Using the mid-point formula
[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]
given
(x₁, y₁, z₁) = (1, 2, b) = P
(x₂, y₂, z₂) = (c, -7, 4) = Q
m = (x, y, z) = (-3, a, -1) = R
substituting the values in the mid-point formula
[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]
[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]
as (x, y, z) = (-3, a, -1), so
[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]
so solving 'c'
-3 = (1+c) / (2)
-3 × 2 = 1+c
1+c = -6
c = -6 - 1
c = -7
solving 'a'
a = (2+(-7)) / 2
2a = 2-7
2a = -5
a = -5/2
solving b
-1 = (b+4) / 2
-2 = b+4
b+4 = -2
b = -2-4
b = -6
Thus, the values are:
a = -5/2
b = -6
c = -7
Verification:
[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]
[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]
put a = -5/2, b = -6, c = -7
[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(\frac{1+\left(-7\right)}{2},\:-\frac{5}{2},\:\frac{\left(-6\right)+4}{2}\right)[/tex]
[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(\frac{-6}{2},\:-\frac{5}{2},\:\frac{-2}{2}\right)[/tex]
[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(-3,\:-\frac{5}{2},\:-1\right)[/tex]
Why are whole numbers rational numbers? Use 15 as an example.
Answer:
Every whole number n can be written as a fraction of integers.
Step-by-step explanation:
Every whole number n can be written as a fraction of integers: x=x/1.
If we use 15 as an example, it would be 15 = 15/1. 15/1 is 15.
So whole numbers are rational
Whole numbers are rational numbers because all whole numbers can be expressed in the form a/b. Hence, 15 can be expressed as a rational fraction thus 15/1
When a number can be expressed in the form a/b ; such that the value of the denominator, b ≠ 0 ; then the number is said to be rational. Whole numbers are positive integer values and as such, they are not decimals. Every whole number can be expressed such that the denominator is 1 ; hence, they can be expressed in the form a/b.15 as a whole number can be rewritten as 15/1. Hence, all whole numbers are rational.
Learn more : https://brainly.com/question/18109354
PLEASE HELP ME WITH THIS. 5 POINTS
Answer:
I think b is not proportional
g E. (i). An oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil. What is the probability that the first strike comes on the third well drilled
Answer:
0.128
Step-by-step explanation:
Given that :
Probability of striking oil = p = 20% = 0.2
Striking occurs on the 3rd well drilled : x = 3
Hence ;
P(x = 3) =?
Using a geometric probability function :
p(x = x) = (1 - p)^(x - 1) * p
P(x = 3) = (1 - 0.2)^(3 - 1) * (0.2)
P(x = 3) = 0.8^2 * 0.2
P(x = 3) = 0.64 * 0.2
P(x = 3) = 0.128
Simplify:
7r + 10 - 2(2r + 3s - 5t) + 2(4s - t) + 5 *
Answer:
3r+2s+8t+15
Step-by-step explanation:
After simplifying 7r+10-2(2r+3s-5t)+2(4s-t)+ 5, you will have 3r+2s+8t+15.
Which graph represents the function y=-(x-2)²+3?
Answer:
Graph D
Step-by-step explanation:
the bottom right graph represents the function y=-(x-2)²+3. I put it in a graphing calculator soo
An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonetheless fails the test) is 0.15. Let x be the number of trustworthy FBI agents tested until someone fails the test. What is the probability that the first false-positive will occur when the third person is tested
Answer:
[tex]Probability = 0.108375[/tex]
Step-by-step explanation:
Given
Let the probability of false positive be represented with p
[tex]p = 0.15[/tex]
Required
Determine the probability the first occurrence of p was at the third person
We have that:
[tex]p = 0.15[/tex]
The probability that a trustworthy person do not fail the test (q) is:
[tex]q = 1 - p[/tex]
[tex]q = 1 - 0.15[/tex]
[tex]q = 0.85[/tex]
The required probability implies that:
The first person did not fail: i.e. 0.85
The second person did not fail: i.e. 0.85
The third person failed: i.e. 0.15
This is then calculated as:
[tex]Probability = 0.85 * 0.85 * 0.15[/tex]
[tex]Probability = 0.108375[/tex]
Hence, the probability that the first false positive occurred at the third person is 0.108375
James has 165 centimeters of yarn left. How many inches does he have left?
(1 inch = 2.54 centimeters).
Answer:
64.96 inches
Step-by-step explanation:
this is because calculations excuse length value by dividing by 2.54
Mike is 5 years old and Randy is 8 years old. Select the proportional relationship that has the same ratio to that of Mike and Randy's age.
please help with right answers
Answer:
25
Step-by-step explanation:
the ratio is 4:5
20/4=5
so multiply 5 by 5 and you will get 25
on the number line jump to where it shows the very end where 20 is and at the bottom it is 25
hope that helps
A biology student wants to determine if using a fertilizer would help promote the growth of new babies in spider plants. The student has access to 90 baby spider plants of three varieties: green, variegated, and curly. There are 30 plants of each variety. They all are potted in the same amount and type of soil, given the same amount of water, and exposed to the same amount of light. The numbers 1–30 are written on slips of paper, placed in a hat, and mixed thoroughly. A plant is selected and a slip of paper is drawn. If the slip has the numbers 1–15, then the plant will receive fertilizer. If the slip has the numbers 16–30, the plant will not receive fertilizer. A green spider plant is selected and a slip of paper is drawn. This plant is placed in the treatment group indicated by the number, and the slip is not put back in the bag. The slips are mixed again, the next green spider plant is selected, and a slip is drawn. The plant is placed in the treatment group indicated by the number. This procedure is repeated until all 30 green spider plants are assigned to treatments. The numbered slips are placed back in the bag and this procedure is repeated for the remaining types of spider plants. After one year, the shoots will be counted for each plant.
Which of the following best describes the design for this experiment?
observational study
matched pairs design
randomized block design
completely randomized design
Answer:
Randomized block design
Step-by-step explanation:
From the question, we can see the following:
- There are 30 plants of each variety. This means that they are divided into variety subgroups which we will call blocks.
- Now, we are told each plant in each block all are potted in the same amount and type of soil, given the same amount of water, and exposed to the same amount of light. This means that each plant in each block is assigned a treatment condition.
- The procedure is repeated by subjecting each plant one after the other in teach Block to different treatments and this will reduce variability.
Looking at all the statements above, it is clear that this is a randomized block design because a randomized block design is when the experimenter/researcher divides members/participants into subgroups called blocks in a manner that the variability within the blocks is less than the variability between the blocks. Thereafter, the participants within each block will now be randomly assigned to treatment conditions.
The best describe about the design for this experiment is random block design.
A randomized block design is an experimental design where the experimental units are in groups called blocks. The treatments are randomly allocated to the experimental units inside each block.
When all treatments appear at least once in each block, we have a completely randomized block design.
There are 30 plants of each variety. This means that they are divided into variety subgroups which we will call blocks.
Each plant in each block all are potted in the same amount and type of soil, given the same amount of water, and exposed to the same amount of light.
This means that each plant in each block is assigned a treatment condition.
The procedure is repeated by subjecting each plant one after the other in teach Block to different treatments and this will reduce variability.
The statements above, it is clear that this is a randomized block design because a randomized block design is when the experimenter/researcher divides members/participants into subgroups called blocks.
In a manner that the variability within the blocks is less than the variability between the blocks. Thereafter, the participants within each block will now be randomly assigned to treatment conditions.
Hence, The best describe about the design for this experiment is random block design.
To know more about Random block design click the link given below.
https://brainly.com/question/20165310
volcano Puu Puai in Hawaii was formed in 1959 when a massive “lava fountain” erupted. The lava shot from the ground with an initial velocity of 350 feet per second.
a. For how long was the lava in the air until it returned to the ground?
b. What was the maximum height of the lava?
c. After how many seconds did the maximum height occur?
Answer:
a)Tt = 21,41 s
b) y(max) = 1873 ft
c) t = 10,70 s
Step-by-step explanation:
We assume that this is a case of vertical shooting then:
a) Vf = V₀ - g*t
Vf = 0 -g*t = -V₀
t = V₀ /g t = 350 ft/s / 32,7 ft/s²
t = 10,70 s time for lava to reach y maximum
a) Then Tt = 2*10,7 Tt = 21,41 s
Lava was in the air for Tt = 21,41 s
b) y = y₀ + v₀*t - (1/2 )*g*t²
for y = ymax we get:
y(max) = 0 + 350*10,70 - 0,5* 32,7* ( 10,70)²
y(max) = 3745 - 1872
y(max) = 1873 ft
c) t = 10,70 s
-2/7x - 11 + 4/7x - 7
Answer:
2/7x - 18
Step-by-step explanation:
-2/7x - 11 + 4/7x - 7
rearrange the expression so it's easier to add, optional
-2/7x + 4/7x - 11 - 7
2/7x - 18
I desperately need the answers to this, it’s about compound interests
Answer:
quarterly is n = 4semiannually is n = 2monthly is n = 12annually is n = 1Step-by-step explanation:
n is the number of times the interest is compounded, so just figure out stuff like monthly and annually mean. (ex. since annually means once a year, n = 1)
Answer this please thanks
Answer:
D. 182.4
Step-by-step explanation:
0.48 x 380 = 182.4
The midpoint of \overline{\text{AB}}AB is M(-6, -4)M(−6,−4). If the coordinates of AA are (-4, -3)(−4,−3), what are the coordinates of BB?
Answer:
The coordinates of B is (-8,-5).
Step-by-step explanation:
The midpoint of line AB is M. The coordinate of M is (-6,-4).
The coordinates of A is (-4,-3)
We need to find the mid point of B.
If M(x,y) is the midpoint of the coordinates (x₁,y₁) and (x₂,y₂). The mid point theorem is used as follows :
[tex]M(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
Let the mid point of B is (x₂,y₂). Put (x,y) = (-6,-4), (x₁,y₁) = (-4,-3).
[tex](-6,-4)=(\dfrac{-4+x_2}{2},\dfrac{-3+y_2}{2})\\\\\dfrac{-4+x_2}{2}=-6\ \text{and}\ \dfrac{-3+y_2}{2}=-4\\\\-4+x_2=-12\ \text{and}\ -3+y_2=-8\\\\x_2=-12+4\ \text{and}\ y_2=-8+3\\\\x_2=-8\ \text{and}\ y_2=-5[/tex]
So, the coordinates of B is (-8,-5).
The coordinates of B are (-8, -5).
Given that,
The midpoint of AB is M(-6, -4). If the coordinates of A is (4,-2),
We have to determine,
The coordinates of B.
According to the question,
The midpoint of line AB is M. The coordinate of M is (-6,-4).
And the coordinates of A is (-4,-3)
If M(x, y) is the midpoint of the coordinates (x₁, y₁) and (x₂, y₂). The midpoint theorem is used as follows :
[tex]M(x, y) = ( \dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]
Let the midpoint of B be (x₂, y₂).
M (x, y) = (-6,-4), and (x₁, y₁) = (-4,-3).
[tex]M(-6, -4) = ( \dfrac{-4+x_2}{2}, \dfrac{-3+y_2}{2})\\\\[/tex]
Solving the equation for the co-ordinate B.
[tex]\dfrac{-4+x_2}{2} = -6\\\\-4 + x_2 = -6 \times 2\\\\-4 + x_2 = -12\\\\x_2 = -12+4\\\\x_2 = -8[/tex]
And,
[tex]\dfrac{-3+y_2}{2} = -4\\\\-3 + y_2 = -4 \times 2\\\\-3 + y_2 = -8\\\\y_2 = -8 + 3\\\\y_2 = -5[/tex]
Hence, The required coordinates of B are (-8, -5).
To know more about Geometry click the link given below.
https://brainly.com/question/20261153
The price of a shirt is usually £64 During a sale the prices in the shop are reduced by 3/4 How much is the shirt in the sale ?
Answer:
£16
Step-by-step explanation:
Step one:
given data
The price of a shirt is £64
When the price is reduced by 3/4, i.e 0.75
the reduced amount can be calculated as
0.75*64
=£48
Step two:
The new price or the cost of the shirt when the price is reduced is
= 64-48= £16
how much is left from 50 after buying 3 books at $
12.65 each
Answer:$12.05
Step-by-step explanation:
12.65*3=$37.95
$50-$37.95=$12.05
Solve the system:
x=49-5y
x=16-2y
Write down the solution.
Use the linear equations to answer the question.
y=2/3x-3
y=-3/2x+2
Which statement about the lines is true?
Answer:
c. the lines are perpendicular.
Step-by-step explanation:
Determine if each function is linear or non linear.
y = x/2 - 19,
3y = x^2,
13y = 1/3x + 5,
y = x + 25/5
y^3 = x
Answer:1)Linear 2)Non linear 3)Linear 4)Linear 5)Non linear
Step-by-step explanation:
If x is alone with no degree, it’s linear.
What is the slope of a line going through these 2 points? Point 1: (12,16) Point 2: (34 , 49)
Answer:
1.5
Step-by-step explanation:
urgent answer please!!! :)
Answer:
a and b are relative on maxima interval x =-4,x=0
What is the greatest common factor of
ax^2+ax+a
Answer:
The GCF is a.
General Formulas and Concepts:
Algebra I
FactoringStep-by-step explanation:
Step 1: Define
ax² + ax + a
Step 2: Condense
Factor GCF: a(x² + x + 1)I dont know how to dis um can yalls help me yalls are so nice for helping me thx
Answer:
5 gallons
Step-by-step explanation:
If b= 3, then b-2 is equivalent to
Answer:
1
Step-by-step explanation:
son
Use the substitution method.
b-2
3-2
= 1
Answer :
1