Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean.
Given that: sample size (n) = 6, standard deviation (σ) = 0.09 mm, mean (μ) = 2.34 mm
The confidence interval = 90% = 0.9
α = 1 - 0.9 = 0.1
α / 2 = 0.05
The z score of 0.05 is the same as the z score of 0.45 (0.5 - 0.05) which is 1.645.
The margin of error is given as:
[tex]E=Z_{\frac{\alpha}{s} }*\frac{\sigma}{\sqrt{n} }[/tex]
[tex]E=1.645*\frac{0.09}{\sqrt{6} }=0.06\ mm[/tex]
The confidence interval = μ ± E = 2.34 ± 0.06 = (2.28, 2.40)
The confidence interval is between 2.28 mm and 2.4 mm
Find the 7th term in the sequence
-4,-8,-16.....
Answer:
-256
Step-by-step explanation:
Each number is being multiplied by 2 so the pattern goes -4,-8,-16,-32,-64,-128,-256. Each number is being multiplied by 2
Which integer is 6√ closest to?
Answer:
2
Step-by-step explanation:
you would first take the square root of 6 and get 2.449...
then you would round it to the nearest whole number and get 2
Answer:
2
Step-by-step explanation:
if sqrt(4) = 2 and sqrt(9) =3, then sqrt(6) is between 2 and 3, but closer to 2.
2x48/67=x helppppppppppppp
Answer:
2x48 is 96
Step-by-step explanation:
Answer:
x= 1 29/67
Step-by-step explanation:
just do 2x 48/67 on a fraction calculator and boom heres x. Lol, hope this helps.
plz answer the question ASAP
A 33 % dextrous solution ( 33 mg per 100 mL of solution) is given intravenously. Suppose a total of 1.936 L of the solution is given over a n 11-hour period. Complete parts (a) through (c) below.
what is the flow rate in units of ml/hr?
mL/hr (Type an integer or decimal rounded to the nearest thousandth as needed.)
What is the flow rate in per hour?
nothing mg/hr (Type an integer or decimal rounded to the nearest thousandth as needed.)
b. If each mL contains 16 drops (the drop factor is expressed as 16 gtt/mL), what is the flow rate in units of gtt/hr?
nothing gtt/hr (Type an integer or decimal rounded to the nearest thousandth as needed.)
c. During the 11 -hour period, how much is delivered?
nothing mg (Type an integer or decimal rounded to the nearest thousandth as needed.)
Answer:
[tex]176\ \text{ml/hr}[/tex]
[tex]58.08\ \text{mL/hr}[/tex]
[tex]11\ \text{gtt/hr}[/tex]
[tex]638.88\ \text{mg}[/tex]
Step-by-step explanation:
33 % dextrous solution ( 33 mg per 100 mL of solution)
1.936 L of the solution is given over an 11-hour period
So the flow rate in mL/hr is
[tex]\dfrac{1.936\times 10^3}{11}=176\ \text{ml/hr}[/tex]
The flow rate in ml/hr is [tex]176\ \text{ml/hr}[/tex]
Flow rate of dextrous in mL/hr is
[tex]0.33\times 176=58.08\ \text{mL/hr}[/tex]
The flow rate dextrous in mL/hr is [tex]58.08\ \text{mL/hr}[/tex]
Each mL contains 16 drops so flow rate in gtt/h is
[tex]\dfrac{176}{16}=11\ \text{gtt/hr}[/tex]
The flow rate in units of gtt/hr is [tex]11\ \text{gtt/hr}[/tex]
The mass of dextrous delivered 11 hours in mg is
[tex]0.33\times 1.936\times 10^3=638.88\ \text{mg}[/tex]
The mass of dextrous delivered 11 hours in mg is [tex]638.88\ \text{mg}[/tex]
If a jar of coins contains 20 half-dollars and 200 quarters, what is the monetary value of the coins?
Answer:
40(.50) + 200(.25) = 20 + 50 = $70
Step-by-step explanation:
40(.50) + 200(.25) = 20 + 50 = $70
Answer:
$60
Step-by-step explanation:
20 half dollars means that there's 10 dollars in it (because you divide 20 by 2 since 2 half dollars make one dollar)
It takes 4 quarters to make one dollar and if there's 200 quarters then there's 50 dollars in it (200 divided by 4 is 50)
Identify as either expressions, equations or inequalities:
56 m - 7
Answer:
It's an Expression.
Step-by-step explanation:
solve for x PLEASEEE
2x-7+4=x+4
Answer:
x = 7
Step-by-step explanation:
2x-7+4 = x+4
2x-7 = x
2x = x+7
x = 7
Hope this helps!
. Explain the difference between a discrete variable and a continuous variable. Choose the correct answer below. A. A discrete variable has observed values that are clustered in certain intervals, while a continuous variable has observed values that are evenly distributed throughout the distribution. B. A discrete variable has possible values that are separate numbers, while a continuous variable has possible values that form an interval. C. A discrete variable has infinitely many possible values, while a continuous variable is usually a count. D. A discrete variable has each observation belong to one of a set of distinct categories, while a continuous variable has observations that take numerical values that represent different magnitudes of the variable.
Answer:
The correct answer is:
A discrete variable has possible values that are separate numbers, while a continuous variable has possible values that form an interval. (B)
Step-by-step explanation:
There are two major categories of variables in data measurement: Discrete and Continuous variables
A Discrete variable is a type variable that can take on a distinct number, obtained by counting, and there is a limit to the value that that variable can take on. An example is the number of students in a class. This can be 10, or 20 or 25, etc. There cannot be 12.8 students or 13.1 students. Hence this kind of variable is a discrete variable.
A Continuous variable is one that is measured and not counted. they have an infinite possibility within a range in a scale of measurement. An example is; the height of trees in meters. The possibilities can be 3.6m, 4.08m, 5m, 1.9m, etc. There is no distinct number, but a possibility of ranges.
A color printer uses four colors of ink cartridges to print images. The table
shows the remaining ink levels of each cartridge in the color printer.
&
O
Cyan, yellow, black, magenta
Color Printer Ink
Remaining
Ink Color
Ink Level
1
Cyan
3
&
Yellow, black, cyan, magenta
1 /
&
Magenta, black, yellow, cyan
Magenta
35%
Do
Magenta, cyan, black, yellow
Black
0.3
CLEAR ALL
Yellow
12 / 를
Which list shows the remaining ink levels in order from least to greatest?
Answer:
yellow, black, cyan, magenta
Step-by-step explanation:
I can find Y by y/2=k
Answer:
Good for you
y = 2k
2 = y/k
BRAINLIEST WILL BE GIVEN A quarterback on a professional football
team completes, on average, 10 passes for
every 15 passes he attempts. How many
passes can he expect to complete if he
attempts 525 passes in a season?
Answer:
350
Step-by-step explanation:
525/15=35
35x10=350
Which probability distribution corresponds with this frequency table?
Answer:
B
Step-by-step explanation:
if you got a 24/30 on a test what would your grade be
Answer:
24/30 is
Step-by-step explanation:
0.8
6. The temperature in a city on a Friday was 46.8 degrees Fahrenheit. On Saturday, the temperature was 63.5 degrees Fahrenheit. How much higher was the temperature on Saturday?
Answer:16.7
Step-by-step explanation:subtract 63.5 by 46.8 and you will get 16.7 degrees fahrenheit
If Friday and Saturday have such a temperature of 46.8 and 63.5 degrees Fahrenheit, respectively. Saturday's temperature is 16.7 degrees Fahrenheit lower than Friday's.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
It is given that the temperature in a city on a Friday was 46.8 degrees Fahrenheit. On Saturday, the temperature was 63.5 degrees Fahrenheit.
The temperature on Saturday is how much less than the temperature on Friday found as,
= 63.5 - 46.8
= 16.7° F
Thus, If Friday and Saturday have such a temperature of 46.8 and 63.5 degrees Fahrenheit, respectively. Saturday's temperature is 16.7 degrees Fahrenheit lower than Friday's.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
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Using the order of operations, what should be done first to evaluate 6+(-577) -8(3)?
O Subtract 7 from -5.
O Multiply 8 and 3.
O Divide 7 by 2.
O Add 6 and -5.
Please help quick
Answer:
the answer is A
Step-by-step explanation:beacuse ik its right
If m∠2 = 42 and m∠6 = 126, what is m∠4?
Answer: 138
Step-by-step explanation:
It’s slightly bigger than 90, so go with D, 138 degrees because 138 is 90 + 48. 48 is slightly more than 45, which is half of 90. 4 looks about 90 plus half of 90.
Answered What is the mean for the set of data? 6, 7, 10, 12, 12, 13
Answer:
10
Step-by-step explanation:
The mean for the set of data 6, 7, 10, 12, 12, and 13 is 10.
What is arithmetic mean?The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
Given the set of observations as:
{6, 7, 10, 12, 12, 13}
To determine the mean of a set of data, add up all the numbers and divide by the total number of numbers.
So, for the given set of data:
Mean = (6 + 7 + 10 + 12 + 12 + 13) / 6
Mean = 60 / 6
Mean = 10
Therefore, the mean for the given set of data is 10.
Learn more about Arithmetic means here:
brainly.com/question/13000783
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Carrie is three times older than Julio. If the sum of their ages is 48, how old is Carrie?
Answer:
The sum of her age is 144
Step-by-step explanation:
C = J + 3J = 4J
J + 4J = 48
_________________________________________________________
Answer:
Julio = 9.6
Carrie = 28.8×3= 86.4
So sorry if its wrong, but please mark the branliest C:
Answer:
Carrie is 36 julio is 12
Step-by-step explanation:
Let A, B, and C be any sets with A ⊆ C and B ⊆ C. Show that A – B = A ∩ (C – B).
Can you help me prove the proof holds true?
I assume A - B is the complement of B in A, i.e. all elements of A that do not belong to B.
To prove equality between two sets, you have to show they are subsets of one another. To prove one set is a subset of another set, you have to show that any element in the first set belongs to the second set.
So, to show that A - B = A ∩ (C - B), you have to prove
• A - B ⊆ A ∩ (C - B)
• A ∩ (C - B) ⊆ A - B
Left to right:
Let x ∈ A - B.
By definition of set complement, x ∈ A and x ∉ B.
Since A ⊆ C, x ∈ C.
So x ∈ C - B, and by definition of set intersection, x ∈ A ∩ (C - B).
This proves A - B ⊆ A ∩ (C - B).
Right to left:
Let x ∈ A ∩ (C - B).
By definition of set intersection, x ∈ A and x ∈ C - B.
By definition of set complement, x ∈ C and x ∉ B.
Again by definition of complement, x ∈ A and x ∉ B means that x ∈ A - B.
This proves A ∩ (C - B) ⊆ A - B.
Both sets are subsets of one another, so A - B = A ∩ (C - B).
i need help on this please
Answer:
17 miles, it took her, altogether.
Step-by-step explanation:
What is an equation for the line that passes through the coordinates (-1,2) and (7,6)?
Answer: 1/2x+5/2
The slope equation Y=Mx+B
Which of the following is true about the function below ?
Answer:
True
Step-by-step explanation:
It is a True fact that there is no actual question to be answered.
help help help help heplgnnejg
Answer:
100°
Step-by-step explanation:
x-20+x = 180 ( Supplementary angles)
2x-20=180
2x=200
×=100
x is the larger angle , x=100°
pls help you will get brainliest but you have to show steps
9514 1404 393
Answer:
J 24
Step-by-step explanation:
Count the number of outcomes from the coin toss. There are 2: heads or tails.
For each of those, there are 3 outcomes from the marble pick: R, Y, G. So the tree up to this point has 2·3 = 6 leaves:
head - R
head - Y
head - G
tail - R
tail - Y
tail - G
__
For each of these 6 outcomes so far, spinning the spinner will add 4 more. That will bring the total of possible outcomes to ...
2 × 3 × 4 = 24 . . . outcomes
The short answer is that the total number of outcomes is the product of the numbers of possibilities at each stage.
About 12% of children are nearsighted. A school district will be testing the vision of 170
incoming kindergarten children.
What proportion of these kids should we expect to be nearsighted (p-hat)?
Answer:
about 21 kids out of 170 are expected to be nearsighted (20:170)
Step-by-step explanation:
we find 12% out of 70 by muliplying 170 x 0.12 which equals 20.4
However it has to round up because we cant have half a child so 21 children.
Kelly can ride her bike 3 miles in 15 minutes. At this rate, how many miles can she ride in 60 minutes?
Answer:
12 miles.
15*4=60
3*4=12
12 miles
find the slope of each line
Answer:
[tex]m=\frac{-1}{3}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
(-1, -1)
(2, -2)
[tex]m=\frac{-2-(-1)}{2-(-1)}[/tex]
[tex]m=\frac{-2+1}{2+1}[/tex]
[tex]m=\frac{-1}{3}[/tex]
A lake initially contains 3000 fish. Suppose that in the absence of predators or other causes of removal, the fish population increases by 7% each month. However, factoring in all causes, 300 fish are lost each month. How many fish will be in the pond after 5 months
Answer:
2,482 fishes will be in the pond after 5 months
Step-by-step explanation:
First, let us model an equation that is used to determine the fish population after n months:
Let the initial population of the fishes = P₀
Let the population after n months = Pₙ
percentage increase each month = 7%
[tex]P_n = P_{n-1} + 7 \%P_{n-1}\\P_n = P_{n-1} + 0.07P_{n-1}\\P_n = (1.07)P_{n-1}[/tex]
Next, we are told that 300 fishes are lost each month, therefore, the population after n months is given by:
[tex]P_n = (1.07)P_{n-1} - 300[/tex]
Therefore population after 5 months:
n = 5
[tex]P_5 = (1.07)P_{5-1} - 300\\P_5 = (1.07)P_4 - 300[/tex]
[tex]Remember\ P_0 = 3000\\starting\ at\ P_1\\P_1 = (1.07)P_0 - 300\\P_1 = (1.07)(3000) - 300\\P_1 = 3210 - 300 = 2910\\P_2 = (1.07)P_1 - 300\\P_2 = (1.07)(2910) - 300 = 2813.7\\\\P_3 = (1.07)(2813.7) - 300\\P_3 = 3010.66 - 300 = 2710.66\\\\P_4 = (1.07)(2710.66) - 300 = 2600.40\\\\P_5 = (1.07)(2600.40) - 300 = 2482.4\\[/tex]
≈ 2,482 fishes
four gallons of gasoline cost 14 how much does each cost
Answer:
$3.5
Step-by-step explanation:
14 divided by 4 is 3.5