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.
What is the slope of the line that passes through the points (4, 2) and (−16,−10)? Write your answer in simplest form
Step-by-step explanation:
slope = y2 - y1
__________
x2 - x1
slope = (-10 -2) / (-16 - 4)
slope = -12/-20
slope = 3/5
How do you write 410,000 in scientific notation?
Answer:
4.1x10^5
Step-by-step explanation:
Is a triangle whose sides measure 6 10 and 8 a right triangle?
Answer:
Step-by-step explanation:
They are equal, and thus, the triangle is a right triangle. ... These sides are 6: 8: 10, then the triangle is a right one.
HELP!!! Is this the expanded form of a number? 40*1000+7*10. If yes, What is it?
Answer:
40070
Step-by-step explanation:
3m = 14.4
4. Wilton drives an Uber. He charges $20 per hour. One passenger gave Wilton an additional tip of $10, which made the total he paid $90. How many hours did Wilton drive the passenger?
MUST SHOW WORK
Answer: 4 hours
Step-by-step explanation:
okay so you have to know your times tables 2*4=8 so 20*40=80 then if he paid a tip of 10$ that would equal $90 witch is what he paid.
what is 42/18 written as a mixed number?
Step-by-step explanation: 2 1/3
ANSWER PLEASE I NEED HELP
a rectangular prism has a width of 0.5 a height of 4 and a length of 1.5, what is the surface area of the rectangular prism?
Answer:
The surface area of the rectangular prism is 17.5
Step-by-step explanation:
We are given:
Width of rectangular prism (w) = 0.5
Length of rectangular prism (l) = 1.5
Height of rectangular prism (h) = 4
We need to find the surface area of the rectangular prism.
The formula used is: [tex]Surface \ area \ of \ the \ rectangular \ prism=2(lw+lh+wh)[/tex]
Putting values and finding the surface area of the rectangular prism
[tex]Surface \ area \ of \ the \ rectangular \ prism=2(lw+lh+wh)\\Surface \ area \ of \ the \ rectangular \ prism=2((1.5)(0.5)+(1.5)(4)+(0.5)(4))\\Surface \ area \ of \ the \ rectangular \ prism=2(0.75+6+2)\\Surface \ area \ of \ the \ rectangular \ prism=2(8.75)\\Surface \ area \ of \ the \ rectangular \ prism=17.5[/tex]
So, the surface area of the rectangular prism is 17.5
If Sharpie markers are on sale for 10 markers for $8.00, how many markers can be bought for $24.00?
Answer:
30 markers
Step-by-step explanation:
We need to divide 24 by 8 to find how many packs of 10 markers we can buy, this gets us 3 packs of 10 markers. I hope this helps!
Carly has already jarred 19 liters of jam and will jar an additional 7 liters of jam every day.
How much jam did Carly jar if she spent 6 days making jam? Write and solve an equation to
find the answer.
Answer:
61
Step-by-step explanation:
7×6 = 42
42+ 19 = 61 Sorry if I'm wrong I tried
Can someone please explain this to me and help me
Answer:
ok
Step-by-step explanation:
- There are 75 cars at a dealership. 35 are blue or red. Suppose 16 are red and 3 are
both.
How many cars are just blue ?
How many cars are neither blue or red?
Answer:
56
Step-by-step explanation:
write an equivalent expression for 40 + 8(n-3)
A box of cereal contains 340 grams of carbohydrates. If there are 12 servings, about how many grams are there in one serving? Show how you estimated. Explain why your answer is reasonable.
Whoever answers gets brainlist!
Answer:
21 over 6 (21/6)
26 over 6 (26/6) =47 over 6 (47/6)
your final answer is 7 5/6
Step-by-step explanation:
Step-by-step explanation:
[tex]3 \frac{3}{6} + 4 \frac{2}{6} [/tex]
Which simplifies to:
[tex] \frac{21}{6} + \frac{30}{6} [/tex]
When added is:
[tex] \frac{51}{6} [/tex]
When transformed back into a Mixed Fraction:
[tex]8 \frac{3}{6} [/tex]
Wayne painted 1/8 of the walls in his bedroom on Monday. He painted 1/2 of the walls of his bedroom on Tuesday and 1/4 of the walls on Wednesday. What fraction of the bedroom still remains to be painted?
Answer:
1/8
Step-by-step explanation:
1/8 + 1/2 + 1/4 = 1/8 + 4/8 + 2/8 = 7/8
so 1/8 remains
On Saturday, the Anderson
Family had dinner at a
restaurant. They ordered 2
pizzas and 4 cheeseburgers for
$31.50. The following weekend,
the Anderson Family had dinner
at the same restaurant where
they ordered 3 pizzas and 2
cheeseburgers for $33.25. Which
system of equations can be used
to determine the cost of one
pizza (p) and one cheeseburger
(c)?
Answer:
[tex]\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.[/tex]
Step-by-step explanation:
Let's call (as suggested)
p = the cost of one pizza
c = the cost of one cheeseburger
The Anderson Family ordered 2 pizzas and 4 cheeseburgers and paid $31.50, thus:
2p + 4c = 31.50 [1]
Next weekend, they ate at the same restaurant and ordered 3 pizzas and 2 cheeseburgers for $33.25, thus:
3p + 2c = 33.25 [2]
To know the cost of one pizza and one cheeseburger, we need to solve the system of equations defined by [1] and [2]
[tex]\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.[/tex]
A square has been divided into a equal-sized pieces. Four of the peices are shaded.
Answer:
it is now 1 whole
Step-by-step explanation:
The cost of mailing a first-class letter is $0.46 for the first ounce and $0.20 for each additional ounce or portion of an ounce. Y is the total cost for mailing a letter that weighs x ounces. What is the cost of mailing a first class letter weighing 2.5 ounces based on the guidelines given in the previous problem?
Answer:linear function
Step-by-step explanation:
The cost of mailing a first class letter weighing 2.5 ounces is $0.96,
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Now given that,
cost of mailing a first-class letter for the first ounce = $0.46
cost of additional ounce or portion of an ounce = $0.20
Since,the weight of letter is x ounces
cost of mailing a first-class letter = $0.2x
Now,Y is the total cost for mailing a letter
Y = 0.46 + 0.2x
Therefore, the cost of mailing a first class letter weighing 2.5 ounces
Y = 0.46 + 0.2*2.5
⇒ Y = 0.46 + 0.5
Y = $0.96
Thus,The cost of mailing a first class letter weighing 2.5 ounces is $0.96
To learn more about linear equation:
https://brainly.com/question/13763238
#SPJ6
negation "If it rains then I take an umbrella."
Which biconditional is false?
F A person is eligible to attend the
club meetings if and only if that
person is a member of the club.
G A person can practice medicine in
the United States if and only if that
person has a valid medical license.
H A person can legally drive a car if
and only if the person holds a valid
driver's license.
J A student participates on the
football tearn if and only if the
student maintains at least a 3
average
Choice G.
Out of sense, A and C are correct. Choice D seems more logical. For students studying medicine, that doesn’t mean they need a medical license.
Hope this helps! And mark this “brainliest!”
What are 1/2 and 2/4 as a decimal?
Answer:
0.50 or 0.5
Step-by-step explanation:
Answer:
1/2= 0.5 2/4=0.5
The reason for this is because both questions are half a fraction, so both of them would be half a decimal
Step-by-step explanation:
which graph represents the solution to this inequality
Answer:
C
Step-by-step explanation:
Answer
it is: C
Step-by-step explanation:
The value of n is a distance of 3 units from 1 1/2 on a number line.
Click on the number line to show the possible values of n.
Answer:
1 1/2
Step-by-step explanation:
Since n is 3 units from 1 1/2 you would subtract 3 - 1 1/2 to find how much more n is from 1 1/2 to get to 3. Hope this helps! :)
Answer:
1 and 3 would be correct
Step-by-step explanation:
40 POINTS Geometry homework
[tex]\angle{DBC }[/tex]=(5x+4)°
[tex]\angle{ A }[/tex]=(2x-2)°
[tex]\angle{C }[/tex]=(4x-6)°
we know that,
[tex]\angle{DBC}[/tex]=[tex]\angle{A}[/tex]+[tex]\angle{C}[/tex]
According to the question,
[tex]\tt{ 5x+4=2x-2+4x-6 }[/tex]
[tex]\tt{ 5x+4=6x-8 }[/tex]
[tex]\tt{ 6x-5x=4+8 }[/tex]
[tex]\blue{x=12 }[/tex]
so,
[tex]\angle{C }[/tex]=(4x-6)°=(4×12-6)°=(48-6)°=42°
Some one teach me how to do this I’m in a break out room and I don’t know how to do this
Answer:
start by putting in the y intercept, -4 on the y axis
then go up 5 and 1 right one to give your a slope of positive 5
Step-by-step explanation:
porque yo so muy inteligente,la reina...Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection.
Translation: (x, y)→(x−3, y)
Reflection: in the line y=−1
Answer:
Step-by-step explanation:
Points R(4,1) S(7,3) T(6,4) after translation
R(4-3, 1) S(7-3, 3) T(6-3, 4)
R'(1, 1) S'(4, 3) T'(3, 4)
Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection
R''(1, -3) S''(4, -5) T''(3, -6)
Let f(x) = 4|x|
If g(x) is the graph of f(x) shifted right 5 units, write a formula for g(x)
g(x)=
Answer:
g(x)=4|x-5|
Step-by-step explanation:
Since the question wants you to shift 5 units to the right, all you need to do is add that - 5 inside the absolute value with the x, and it will shift the function 5 units to the right. I even attached a picture to prove that when adding - 5 inside the absolute value with the x, it shifts the function g(x) 5 units to the right.
Hope this helps! :)
Mental Math A typical tip in a restaurant is 15% of the total bill. If the bill is $60, what would the
typical tip be?
The typical tip would be $1.
Answer:
It would be $9.
Because 60 * 0.15 = 9
Step-by-step explanation:
Express scientific notation (9.6 × 10^3) × (6.7 × 10^3)
Answer:
i got 6432
Step-by-step explanation:
i just put it in to my calculator
I need help on this asap, I'm giving 39 POINTS and mark BRAINLIEST the question is on the pic! thankss