Answer:
Step 1 z(c) = 2,323
CI = ( 25 ; 30,2 )
Step-by-step explanation:
Normal Distribution:
Sample size n = 25
Sample mean μ = 27,6
Sample standard deviation s = 5,69
CI = 98 % then α = 1 - 0,98 α = 0,02 α/2 = 0,01
From z-table we don´t find z (score) for 0,01 directly, we need to interpolate between z = 2,32 and z = 2,33
For 0,0099 z score is 2,33
for 0,0102 z score is 2,32
Δ 0,0003 0,01
Then by rule of three
for Δ 0,0003 ⇒ 0,01
for Δ (0,01- 0,0102) ⇒ x
0,0003 0,01
0,0002 x
x = 0,0067
then z (score for 0,01) = 2,33 - 0,0067 z(c) = 2,3233
round to three decimal places z(c) = 2,323
Step 2:
CI = μ ± z(c) * s/√n ⇒ 27,6 ± (2,323 * 5,69)/5
CI = 27,6 ± 2,6436
round to one decimal place
CI = 27,6 ± 2,6
CI = ( 25 ; 30,2 )
Help Needed with this
Answer:
Step-by-step explanation:
Jaquan passed a checkpoint jogging at a constant speed of 9 km/h. Then, 2 minutes later Odalis passed the same checkpoint.
If Odalis runs at a constant speed of 12 km/h, then how far past the checkpoint will Odalis be when they catch up to Jaquan?
The distance from the check point when Odalis catch up Jaquan is 1.2 kilometers.
What is relative speed ?Relative speed is the net speed difference when objects move in the same direction and sum of individual speeds when objects move in opposite direction.
Given Jaquan speed is 9km/hr which is 0.15km/minute and Odalis has a speed of 12km/hr which is 0.2km/minute.
∴ The relative speed difference between Jaquan and Odalis is
= (0.2 - 0.15) km/hr.
= 0.05 km/hr.
Given Odalis reached the check post after 2 minutes in this time Jaquan have covered (2×0.15) kilometers.
= 0.30 kilometers.
Now to catch up Jaquan, Odalis will need (0.30/0.05) minutes which is
= 6 minutes.
∴ The distance from the check post Odalis travelled to catch up with Jaquan is (0.2×6) kilometers.
= 1.2 kilometers.
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Answer:
1.2 km
Step-by-step explanation:
thats the answer on khan
What is the irrational number 49 squared 34 squared 9/2 squared 13/16 squared
The required irrational number is 13 / 16 among the options given. Option D is correct.
Given that,
To determine the irrational number among the number given.
Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3, etc.
here,
49² = is rational number
34 ² = rational number
9 / 2 = rational number
13 / 16 = irrational number
Thus, the required irrational number is 13 / 16 among the options given. Option D is correct.
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A grocery store sells four different jars of peanut butter. Determine which is the best buy, based on the cost per unit.
16 ounces for $1.70 20 ounces for $1.90
26 ounces for $3.33 40 ounces for $
The least cost per unit of peanut butter is $0.095 for 20 ounces for $1.90 therefore option (B) will be correct.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Division = divide any two numbers or variable called division.
Given the four options of jars;
1) 16 ounces for $1.70
Cost per ounces = 1.70/16 = $0.10625
2) 20 ounces for $1.90
Cost per ounces = 1.90/20 = $0.095
3) 26 ounces for $3.33
Cost per ounce = 3.33/26 = $0.128
The least cost per ounce is $0.095 for 20 ounces for $1.90.
Hence "The least cost per unit of peanut butter is $0.095 for 20 ounces for $1.90".
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How to find the equation of the line through (1/2,6) and parallel to x=3
Answer:
y=6
Step-by-step explanation:
x=3 is parallel to the y axis so the perpendicular line will be parallel to the x axis and will equals y=6 so it will pass through the point which have a y coordinate of 6
A bag contains 3 red
marbles, 5 blue marbles and 4 green marbles. If three marbles
are drawn out of the bag, what is the exact probability that all three marbles drawn
will be blue?
Can y’all help me please??
Answer:
[tex]\frac{5}{42}[/tex]
Step-by-step explanation:
It makes a difference if the marbles are place bag into the bag after selecting. Since this is not stated, I am assuming that once a marble is selected, it is not placed back in the bag.
[tex]\frac{5}{9}[/tex] x [tex]\frac{4}{8}[/tex] x [tex]\frac{3}{7}[/tex] = [tex]\frac{60}{504}[/tex] This simplified would be [tex]\frac{5}{42}[/tex] The 5 represent the number of blue marbles available our of 9 total marbles. Next, we only have 4 blue marbles available out of a total of now 8 marbles and lastly, for the third draw we only have 3 blue marbles available and only 7 total marbles are left.
If the marbles are replaces that changes the problem and the answer would be [tex]\frac{5}{9}[/tex] x [tex]\frac{5}{9}[/tex] x [tex]\frac{5}{9}[/tex] = [tex]\frac{121}{729}[/tex]
Which of the following is a unit rate?
A. 56 cubic inches
B. 39 miles to 2.6 hours
C. 90 people per day
D. 5.6 square feet
Answer:
B & C
Step-by-step explanation:
a rate has to have an incline or decline. A&D are set amounts.
A farmer has 220 bushels of wheat to sell at her roadside stand. She sells an average of 15 1/4 bushels each day. Represent the total change in the number of bushels she has for sale after 7 days.
write an equation in slope- intercept form for the line described.
perpendicular to y = 1/4x + 2 passes through (0,0)
Answer:
y=-4x+0
Step-by-step explanation:
Slope form is y=mx+b
m is the slope, and b is the y intercept. If the line must pass through (0,0) then the y intercept would be zero.
This give you y=mx+0
Now to find the slope you need a perpendicular line to the previous line. This would mean you have to swap 1/4 which is the previous lines slope.
1/4 is a positive so make it a negative, -1/4
Now flip -1/4 to make is -4/1 which also equals -4
Now with the slope -4 and y-intercept 0, you know you equation
y=-4x+0
Please help me and don’t copy off the internet
Answer:
1. (-1.5,0), -3/2, or -1(1/2)
2.(-16,0)
Step-by-step explanation:
1. explanation:
the 2 and the -5 are 8 spaces apart (-5,-4,-3,-2,-1,0,1,2). the exact halfway point of them is -1.5. the exact halfway point between 5 and -5 is 0. thus led me to (-1.5,0.) I then graphed it on desmos to see if it was halfway, which it is. (refer to the image)
2. explanation:
the distance between -6 and 4 is 10, so -16 would be the first half of the endpoint location. Then the distance between 4 and 8 is 4, so 4-4 is 0. the start point of 2 is (-16,0)
HELP 50 POINTS (see image attached)
5
1
2
8
-2
The value of the function f(3) is 1
How to determine the value of f(3)?The graph represents the given parameter
The value of f(3) implies that we calculate the value of the function when x = 3
From the graph, we have
f(x) = 1, when x = 3
This means that
f(3) = 1
The above is calculated by substituting 3 for x in the equation f(x) = 1
Hence, the value of f(3) is 1
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Solve for all possible values of x.
√60 8x = x - 9
The possible values of x are 3 and 7
Solving rational expressionsGiven the rational expression below;
√60-8x = x - 9
Square both sides to have:
(60-8x)² = (x-9)²
60-8x = x²-18x+81
Equate to zero to have;
x²-18x+81 - 60 + 8x = 0
x² - 10x + 21 = 0
x² -3x-7x +21 = 0
x(x-3)-7(x-3) = 0
x = 3 and 7
Hence the possible values of x are 3 and 7
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What is
Tan x% =4 over 9
The value of x in tan x = 4 over 9 is x = 23.9
How to determine the value of x?The trigonometric equation is given as
tan x = 4 over 9
Rewrite the above equation properly
So, we have
tan(x) = 4/9
Evaluate the quotient
So, we have
tan(x) = 0.4444
Take the arc tan of both sides
x = 23.9
Hence, the value of x in tan x = 4 over 9 is x = 23.9
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LOOK AT THE EXPRESSION 4.8X107 +6,500,000 WHAT IS THE VALUE OF THE EXPRESSION
64.00336 × 10⁵ is the solution of the Expression .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.=(48*7) +65 ×10⁵
=((40+8) *7) +65 × 10⁵
=(280+56)+65 ×10⁵
=336+65 × 10⁵
=.336*10^3+65 × 10⁵
=.00336*10^5+65 × 10⁵
=(.00336+65) × 10⁵
= 64.00336 × 10⁵
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the difference of 15y and 16y is -6
Answer:
y=6
Step-by-step explanation:
15y-16y=-6 subtract (15y-16y=-1y or -y)
-y=-6 Divide each side by -1 in order to make the -y a positive number.
y=6
You didn't really clarify what you were looking for in your question, but I answered according to what I thought you were talking about. I hope this helps you. If not, reply to me with what you were looking for and I will edit my answer to meet your requirements.
3x+4 < 4 pls some one help me pls it’s my last problem for my homework
Answer:
x < 0
Step-by-step explanation:
We are given this inequality:
3x + 4 < 4
And we want to solve it.
Solving inequalities is very similar to solving equations. We want to isolate the variable (in this case, x) on one side, while leaving the numbers on the other side.
To start, we can subtract 4 from both sides.
3x + 4 < 4
-4 -4
__________________
3x < 0
Now, we have the numbers on one side and the variable on the other, but we aren't done yet, as we want to solve for the value of x, or 1x, not the value of 3x.
So, we'll need to divide both sides by 3.
3x < 0
÷3 ÷3
___________
x < 0
The answer is x < 0.
Write an algebraic expression that represents the verbal expression shown:
"The difference of 40 and the quotient of 60 and 3."
Answer:
60/3 - 40
Step-by-step explanation:
Answer: 60/3 -40
Step-by-step explanation:
What integer describes a loss of 45 yards
-45 represents a loss of 45 yards (integers include negative numbers)
state whether each function is a linerar function, write yes or no. explain y = 3/4x
When a die is thrown, the total number of possible outcomes are …………………?
Answer:
when a die is thrown,the total number of possible outcomes are 1 because die has cubical shape so only one outcomes is possible.
please help and show your work :(
Answer:
Answer is the picture attached
Is 2x-y=6 a function of x?
Answer:
Explanation:
one way is to find the intercepts, that is where the graph
crosses the x and y axes
∙
let x = 0, in the equation for y-intercept
∙
let y = 0, in the equation for x-intercept
x
=
0
→
0
+
y
=
−
6
⇒
y
=
−
6
←
y-intercept
y
=
0
→
2
x
+
0
=
−
6
⇒
x
=
−
3
←
y-intercept
plot
(
0
.
−
6
)
,
(
−
3
,
0
)
and draw a straight line
through them
graph{-2x-6 [-14.24, 14.24, -7.12, 7.12]}
a godown had a stock of cloth of Rs.160000. Due to a fire a part of the merchandise, wroth Rs. 20000, was completely destroyed. find the loss percent?
The loss percentage of cloth is 12.5%.
Stock of cloth = Rs. 1,60,000
worth of destroyed cloth = Rs. 20,000
A percentage is a number or ratio that can be expressed as a fraction of 100. It is denoted by the symbol %.
Percentage = Value/ Total value × 100%
Loss percentage = Loss/Total value × 100%
So, the loss percentage of cloth = 20,000/1,60,000 ×100%
= 0.125 × 100%
= 12.5%.
Marlene earned $178 at her summer job. She already had savings of $98.25. She buys a T-shirt for $19.50. How much money does she have left.
Answer:
256.75 or 257 rounded to the nearest 10th
Step-by-step explanation:
Jenna bought a new car for $37,000
$
37,000
. She paid a 10%
10
%
down payment and financed the remaining balance for 72
72
months with an APR of 6.5%
6.5
%
. Assuming she makes monthly payments, determine the total interest Jenna pays over the life of the loan. Round your answer to the nearest cent, if necessary.
Formulas
Jenna paid a total interest of $4810 (13% of the cost of the car) for the car.
What is APR?Suppose there is initial amount as P.
The interest, or say charge on it is applied annually as 'C' amount.
Taking how much percent of P is C, we get:
[tex]APR = \dfrac{C}{P} \times 100[/tex]
WE have been given that Jenna bought a new car for $37,000 and paid a 10% down payment and financed the remaining balance for 72 months with an APR of 6.5%
Assuming that she makes monthly payments, to determine the total interest Jenna pays over the life of the loan.
The cost = $37,000
Time = 72 months
APR = 6.5%
Then;
Interest = (37,000 x 6.5 x 2) /100
= $4810
Percentage of interest paid = (4810/37,000 ) x 100
= 13%
Therefore, Jenna paid a total interest of $4810 (13% of the cost of the car) for the car.
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Write 7,855.1 as an Ordinary Notation
-R+ 6 + 8r - 14
I don’t know how to set this up or solve it
The solution to the expression is 7r - 8
How to set up and solve the expression?The expression is given as
-r + 6 + 8r - 14
Collect the like terms in the above expression
So, we have
-r + 8r + 6 - 14
Evaluate the like terms in the above expression
7r - 8
Hence, the solution to the expression is 7r - 8
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Translate to an algebraic expression and simplify: the product of 8 and -13
Answer:
(8)(-13); -104
Step-by-step explanation:
Product means to mutliply, so the expression is (8)(-13), which evaluates to -104.
Find the average rate of change of
The approximate rate of change of the function is 224.95
Rate of change of functionThe rate of change of the given function is expressed according to the equation below;
f'(x) = f(b)- f(a)/b-a
Given the interval [-4, 3]
a = -4
b = 3
f(a) = 9(-4)⁴ + 7/(-4)²
f(-4) = 2304+ 7/16
f(-4) = 2304.4375
f(b) = 9(3)⁴ + 7/(3)²
f(3) = 729 + 7/9
f(3) = 729.7778
Substitute to have:
f'(x) = 729.7778-2304.4375/3+4
f'(x) = 1574.65/7
f'(x) = 224.95
Hence the approximate rate of change of the function is 224.95
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Find a relationship between x and y so that (x, y) is equidistant from the two points (4, –1) and (6, 3).