is there a rate because im not understanding
Assuming normality, construct the requested confidence interval.
A sociologist is interested in the age at which a mother has her first child. A random sample of 20 recent births yielded an average maternal age to be 30 years with a standard deviation of 6.2 years.
Construct a 99% confidence interval for the mean age at which a mother has her first child.
Can I have some help with solving this problem with a TI84 calculator?
Answer:
The appropriate response is "(26.03, 33.97)".
Step-by-step explanation:
The given values are:
Average maternal age,
[tex]\bar{x} = 30[/tex]
Standard deviation,
s = 6.2
Random sample,
n = 20
Now,
The degree of freedom will be:
⇒ [tex]df=n-1[/tex]
[tex]=20-1[/tex]
[tex]=19[/tex]
"t" at confidence level 99%, will be:
⇒ [tex]\alpha=1-99 \ percent[/tex]
[tex]=1-0.99[/tex]
[tex]=0.01[/tex]
⇒ [tex]\frac{\alpha}{2}=\frac{0.01}{2}[/tex]
[tex]=0.005[/tex]
⇒ [tex]t\frac{\alpha}{2} \ df=t \ 0.005,19[/tex]
By using the student table, we get
[tex]=2.86 1[/tex]
The margin of error will be:
⇒ [tex]E=\frac{t \alpha}{2,df\times (\frac{s}{\sqrt{n}})}[/tex]
On substituting the estimated values, we get
⇒ [tex]=2.861\times (\frac{6.2}{\sqrt{20}})[/tex]
⇒ [tex]=3.97[/tex]
At 99%, the confidence level will be:
⇒ [tex]\bar{x}-E< \mu <\bar{x}+E[/tex]
⇒ [tex]30-3.97< \mu < 30+3.97[/tex]
⇒ [tex](26.03,33.97)[/tex]
Thus the above is the correct approach.
If anyone understands can you please help me✨♀️
Amy had a $10 monthly fee for music streaming due when she received her paycheck. After paying for the music streaming service, she had $65 remaining from her paycheck. Write and then evaluate a subtraction expression to determine the original value of Amy's paycheck
Answer:
10+65=75 75-10=65
A subtraction expression to determine the original value of Amy's paycheck is x-10=65.
Given that, Amy had a $10 monthly fee for music streaming due when she received her paycheck.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the original value of Amy's paycheck be x
According to the question, x-10=65
⇒ x=$75
Therefore, a subtraction expression to determine the original value of Amy's paycheck is x-10=65.
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(16) In 2008, the number tourists visiting France was 7.94 x 1017. The
number of tourists visiting Italy was 4.27 x 10^7. Find the difference in the
number of visitors
Answer:
3.67 × 10^7Step-by-step explanation:
Number of tourists visiting France = 7.94 × 10^7Number of tourists visiting Italy = 4.27 × 10^7The difference:
7.94 × 10^7 - 4.27 × 10^7 =(7.94 - 4.27) × 10^7 =3.67 × 10^7 more visitors in FranceMartina spent $24 on fruit at the grocery store. She spent a total of $80 at the store. What percentage of the total did she spend on fruit?
Answer: 30%
Step-by-step explanation:
She spent $24 dollars out of the total money she had which was $80. The 24 represents the portion of the money that was spent on fruits. So therefore to find the percentage for put the portion used ($24) divided by the the total ($80) multiplied by a hundred to get the 30%.
PLEASE HELP!!! TIMED TEST!
Which pair of angles must be supplementary?
1 and 6
2 and 5
5 and 4
6 and 2
Answer:
ok supplementary angles are two angles when they add up upto 180 degree so angle 2 and 5 make 180 degree .
I don’t understand please help
Given the points P(2, –6) and R(8, 3), what is the component form of Vector PR?
- ⟨6, -3⟩
- ⟨10, -3⟩
- ⟨6, 9⟩
- ⟨10, 9⟩
Answer:
the third one
Step-by-step explanation:
jsut took it
Answer:
It’s C
Step-by-step explanation:
Write an expression that represents the area of
the figure in square centimeters.
HELP ASAP
Answer:
its either 98 cm or 28 cm
Step-by-step explanation:
7 x 7 = 49 x 2 = 98 cm
14 x 2 = 28
Find a Point-Slope equation for a line containing the given point and having the given slope.
(5, -1), m =1/5
Answer:
The point-slope equation for a line is:
[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]
Step-by-step explanation:
Given
The point = (5, -1)m = 1/5We know that the point-slope form is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line
substituting the values m = 1/5 and the point (5, -1)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]
Thus, the point-slope equation for a line is:
[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]
Find the Missing Lengths is the sides.
Answer:
b
Step-by-step explanation:
In which quadrant is x positive and y negative?
Select the correct answer. What is 6 1/3 divided 1/6 equal to? A: 6 B:9 C: 12 D:19 E:38
Again select the correct answer.
Answer:
The answer would be E:38.
Answer:
38
Step-by-step explanation:
Convert 6 1/3 to a fraction, 19/3
Divide 1/6 by multiplying
19 6
__ X ___. = 38
3. 1
Which operation should be done first in the
expression below?
(2 + 2) * 3 - 1-4
Answer:
7
Step-by-step explanation:
PEMDAS
First we do the parenthesis, then we multiply and then we subtract (left to right)
= (2+2) * 3 - 1 - 4
= 4 * 3 - 1 -4
= 12 - 1 -4
= 12
which of the following is an equivalent rate to running 5.4 miles in 43.2 minutes?
Answer:
3 miles in 24 minutes
Step-by-step explanation:
Joe drove 215 miles in 3 hours. Moe drove 240 miles in 4 hours. Who drove at the fastest rate of speed
If i=sqr-1, what is the value of i^3?
-1
i
1
-i
Answer:
After solving we get [tex]\mathbf{i^3=-i}[/tex]
Option D is correct.
Step-by-step explanation:
We are given:
If [tex]i=\sqrt{-1}[/tex] we need to find the value of [tex]i^3[/tex]
Solving:
[tex]i=\sqrt{-1}[/tex]
Taking cube on both sides
[tex]i^3=(\sqrt{-1})^3\\[/tex]
We can write [tex]a^3= a^2.a^1[/tex] Using this for solving:
[tex]i^3=(\sqrt{-1})^2.(\sqrt{-1})\\We \ know \ (\sqrt{-1})^2 =- 1 \ and \ \sqrt{-1}=1 \\i^3=-1(i)\\i^3=-i[/tex]
So, after solving we get [tex]\mathbf{i^3=-i}[/tex]
Option D is correct.
Nine voltage measurements in a circuit have produced the following values: 12.09, 12.05, 11.94, 11.99, 12.12, 12.05, 12.02, 11.95, 12.14. If the standard deviation for the above data set is 0.07V, determine whether any values can be rejected. (5 Points)
Answer:
we can not reject any value
Step-by-step explanation: From data we can test the highest and the lowest value to evaluate if one of these values are out of certain confidence Interval
If we established CI = 95 % then α = 5 % and α/2 = 0,025
From data we find the mean of the values
μ₀ = 12,03 and σ = 0,07
From z table we find z score for 0,025 is z(c) = ± 1,96
So limits of our CI are:
12,03 + 1,96 = 13,99
12,03 - 1,96 = 10,07
And all our values are within ( 10,07 , 13,99)
So we can not reject any value
Find the midpoint of (0, 3) and (-4, 1).
Answer:
is there a page we can look at
Step-by-step explanation:
Divide.
8.43) 12.645
The quotient is
Answer:
1.5 or 3/2
Step-by-step explanation:
The division results the quotient is 1.5
What is Division?The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication. In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items.
Given:
We have to divide 12.645 by 8.43
So, 12.645/8.43
= 12645/ 8430
= 8430 | 12645 | 1 . 5
8430
-______
42150
42150
_______
0
Hence, the quotient is 1.5.
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getting bored.Is there anyone???
Answer:
yes very much so
Step-by-step explanation:
yes I don't know why but I am really and truly
Answer:
WOW yRRRRRR
Step-by-step explanation:
what is the product for 1.2×3.5 what is the product of 1.2 times 3.5
The answer to this problem is .
A function is represented by the graph.
Complete the statement by selecting from the drop-down menu.
The y-intercept of the function y=3x+2 is
Choose... (less than, Greater than, Equal to)
the y-intercept of the function represented in the graph.
Answer:
it is equal to
Step-by-step explanation:
took test
Answer:
equal to
Step-by-step explanation:
Hattie is making fruit baskets, which include apples and bananas, to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total. On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.
Which system of inequalities can be used to determine the number of apples, x, and bananas, y, that Hattie should include in each basket?
Answer:
10 apples and 4 bananas
Step-by-step explanation:
x + y> 12. 5 x + 7y <80
Answer:
Step-by-step explanation:
What is the 15th term of the sequence an =
-3n+50
D. 95
Answer:
= 105
Step-by-step explanation:
Answer:
here ya go
Step-by-step explanation:
a
9
=
105 I think
How many even numbers are between 1 and 30. My head hurts thanks
Answer:
15
Step-by-step explanation:
2
4
6
8
10
there are 5 between 1-10
so 3*5=15 between 1-30
Answer:
15
Step-by-step explanation:
my head hurts too
Solve 4x+34 help please
9514 1404 393
Answer:
78
Step-by-step explanation:
The base (JL) is twice the length of the midline (MN), so you have ...
4x +34 = 2(5x -16)
4x +34 = 10x -32 . . . eliminate parentheses
66 = 6x . . . . . . . . add 32-4x
11 = x
Then the length of JL is ...
4(11) +34 = 78
What is the domain of the graph?
Answer:
domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis
Hope this helps you!
6th grade math proportionally
Answer:
9.
Step-by-step explanation:
Look at points C and D on the graph: HOW U PUT A PHOTO :=)
A coordinate plane graph is shown. Point C is at 1 comma 3. Point D is at 4 comma negative 3. A segment connects the two points.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
1. 3.01 units.
2. 5.20 units.
3. 6.50 units.
4. 6.71 units.
Answer:
6.71
Step-by-step explanation:
If you want to put picture i would recommend using your phone to do it. :]
Answer: its 6.71
Step-by-step explanation: