Answer:
[tex]176.74 cm^{2}[/tex]
Step-by-step explanation:
[tex]radius=7.5 cm[/tex]
[tex]area=\pi (radius)^{2}[/tex]
[tex]3.142*(7.5)^{2}cm^{2}[/tex]
[tex]176.7375cm[/tex]
[tex]=176.74cm^{2}[/tex]
[tex]----------[/tex]
hope it helps...
have a great day!!
A researcher was interested in knowing whether the mean weight of the second baby is higher, lower, or about the same as the mean weight of the first baby for women who have at least two children. She selected a random sample of 20 women who had at least two children and asked for the weights of the first two at birth. She found that the mean of the differences (first - second) was 5 ounces, and the standard deviation of the differences was 7 ounces.
Required:
a. Why was the researcher's study design better than taking independent samples of mothers and asking the first sample about the weight of their first baby and the sec_ and sample about the weight of their second baby?
b. Define the parameter of interest. Use appropriate notation.
c. Write the mean of 5 ounces and the standard deviation of 7 ounces using appropriate statistical notation.
d. Find a 90% confidence interval for the parameter that you defined in part (b). Write a sentence or two interpreting the interval.
An aquarium can hold 4.5 liters of water. How many milliliters of water can the aquarium hold? A 450 milliliters B 4,500 milliliters C 45 milliliters D 45,000 milliliters
Answer:
B. 4,500
Step-by-step explanation:
1 liter = 1,000 milliliters
4.5 x 1,000= 4,500
:DDDD Glad I could help
If preimage is (0, 1) . (4, 0), (4, 1) , what are the points after a translation of 3 units up and then a reflection over the -axis
Answer:
(0, 4) (-4, 3) (-4, 4)
Step-by-step explanation:
Translation rules:
Units UP - Add to the y-coordinate.
Units DOWN - Subtract from the y-coordinate.
Units RIGHT - Add to the x-coordinate.
Units LEFT - Subtract from the x-coordinate.
--------------------------------------------------------------------------------------------------------------
In this case, the word problem is asking for the points after a translation of 3 units up.
(x, y+3)
(0,1) → (0,4)
(4,0) → (4,3)
(4,1) → (4,4)
--------------------------------------------------------------------------------------------------------------Now it's time to reflect the new points over the y-axis.
When reflecting over the y-axis, the y-coordinate remains the same, but the x-coordinate becomes the opposite value. (-x, y)
(0,4) → (0,4)
(4,3) → (-4,3)
(4,4) → (-4,4)
What is the identity of (sec^2theta-1)/sintheta = sintheta/(1-sin^2theta)
Please get this done and match the sides. Thank you!
Answer:
See Below.
Step-by-step explanation:
We want to prove the trigonometric identity:
[tex]\displaystyle \frac{\sec^2(\theta)-1}{\sin(\theta)}=\frac{\sin(\theta)}{1-\sin^2(\theta)}[/tex]
To start, let's simplify the right side. Recall the Pythagorean Identity:
[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]
Therefore:
[tex]\cos^2(\theta)=1-\sin^2(\theta)[/tex]
Substitute:
[tex]\displaystyle \frac{\sin(\theta)}{1-\sin^2(\theta)}=\frac{\sin(\theta)}{\cos^2(\theta)}[/tex]
Split:
[tex]\displaystyle =\frac{\sin(\theta)}{\cos(\theta)}\left(\frac{1}{\cos(\theta)}\right)=\tan(\theta)\sec(\theta)[/tex]
Therefore, our equation becomes:
[tex]\displaystyle \frac{\sec^2(\theta)-1}{\sin(\theta)}=\tan(\theta)\sec(\theta)[/tex]
From the Pythagorean Identity, we can divide both sides by cos²(θ). This yields:
[tex]\displaystyle \tan^2(\theta)+1=\sec^2(\theta)[/tex]
So:
[tex]\tan^2(\theta)=\sec^2(\theta)-1[/tex]
Substitute:
[tex]\displaystyle \frac{\tan^2(\theta)}{\sin(\theta)}=\tan(\theta)\sec(\theta)[/tex]
Rewrite:
[tex]\displaystyle (\tan(\theta))^2\left(\frac{1}{\sin(\theta)}\right)=\tan(\theta)\sec(\theta)[/tex]
Recall that tan(θ) = sin(θ)/cos(θ). So:
[tex]\displaystyle \frac{\sin^2(\theta)}{\cos^2(\theta)}\left(\frac{1}{\sin(\theta)}\right)=\tan(\theta)\sec(\theta)[/tex]
Simplify:
[tex]\displaystyle \frac{\sin(\theta)}{\cos^2(\theta)}=\tan(\theta)\sec(\theta)[/tex]
Simplify:
[tex]\tan(\theta)\sec(\theta)=\tan(\theta)\sec(\theta)}[/tex]
Hence proven.
Ryan has constructed a multiple regression model and wants to test some assumptions of his regression model. In particular, he is testing for normality of the residuals. To do this Ryan should:
a. construct a normal quantile plot of the residuals and see if the result is an approximately upward sloping straight line
b. plot the residuals vs the predicted values of the response variable and check if the result is a random pattern
c. plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line
d. plot the residuals vs each explanatory variable to check if they are approximately random and form no clear pattern
e. construct a normal quantile plot of the residuals and see if the result is an approximately horizontal straight line
f. construct a normal quantile plot of the residuals and see if the result is an approximately downward sloping straight line
Answer:
plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line ( C )
Step-by-step explanation:
Ryan should plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line ( C )
The exact right action on what Ryan should do is not listed in the options listed below, hence I have just picked the closest on what Ryan should do if he is testing for normality of the residuals after constructing a multiple regression model
Normality of residuals test is performed to ensure that the residuals are properly/evenly distributed
Charlie deposits $5,000 at his local bank and receives a 10% simple interest rate. How
much interest will Charlie have after 5 years?
Answer:
it is 11 years
Step-by-step explanation:
Hope it helps u
FOLLOW MY ACCOUNT PLS PLS
Hi, please help me with this math problem, I need to submit rly quick, thx.
Answer:
I think its B.
Step-by-step explanation:
Guys please last one ok
Answer:
last one, 4th
i really hope it helps.
what is this y=
[tex] \frac{3}{2}x+3 [/tex]
the y=-3
Answer:
X=-4
Step-by-step explanation:
If you are finding x,
set these two functions equal to each other
3/2x+3=-3
3/2x=-6
x=-4
Which inequality is true (I ready diagnostic)
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
Answer:
i'd be happy to help you, but there isn't an image attached.
Step-by-step explanation:
[tex] \sqrt[3]{54} [/tex]
How do I solve?
Answer:
find the cubic root of the number given
I would just like to say...
PEOPLE, STOP ATTACHING LINKS!!!!!!!!!
Thank YOU!!! I was wondering what those links are for but I'm not taking a chance with that
Answer:
Yeah i was really stuck on a problem then 2 users answered and gave links.
Like bro i said no links!!!! :/
can some help me with the question below I don't know the answer
Answer:
y=4
Step-by-step explanation:
in a 45-45-90 triangle sides a and b are equal and the hypotenuse is [tex]a\sqrt{2}[/tex]
so in this case y is a leg, so it is 4
in case there is a part two where they ask what x is, it would be [tex]4\sqrt{2}[/tex]
Which inequality represents the situation: Kate took $3 out of her purse and still had at least $8 in it. How much did she have to begin with?
Answer:
k-3 ≥8
Step-by-step explanation:
k-3 ≥8
kate takes out 3 dollars and has at least 8 dollars left, meaning she could have more.
Help please!!!!!!!!!! Need ASAP!! Thank you!
Maria can stuff envelopes twice as fast as her friend James. Together they can stuff 6750 envelopes in 4.5 hours. How long would it take each of them working alone? Which of the following equations could be used to solve this problem?
I thinks it's the last one
hope this helps
Answer:
B. 4.5/t + 4.5/(2t) = 1Step-by-step explanation:
Work = rate*timeMaria's rate = 6750/tJames's rate = 6750/2tTheir rate when working together:
6750/t + 6750/(2t) = 6750/4.5 ⇒ 1/t + 1/(2t) = 1/4.5 ⇒4.5/t + 4.5/(2t) = 1Correct choice is B
A tree farm has 70 rows of trees. The first row has 25 trees, the second
row has 30 trees, the third row has 35 trees, and so on. Let n be the
number of the row.
Write a function f(n) to represent the number of total trees in the nth
row. (gmm) pls help
Step-by-step explanation:
The function is:
[tex]f(n) = 25 + 5 \times (n - 1) \\ n \geqslant 1[/tex]
can someone help, please :)
NOOOO LINKS FILES
At a contest, each diver was scored on a 1-10 scale for each of 8 divee. This data set shows the scores earned by one of the divers
83 8 6 8 834
Which value represents the median of the data set?
A.5
B.6
C.7
D.8
Answer:
6 is the median
Step-by-step explanation:
The median is the same as the number in the middle, and the number in the middle is 6.
What is the domain of (-2, 5), (8, 6), (3, 12) (2, 6)
Answer:
The domain is (-2, 8, 3, 2)
Step-by-step explanation:
The domain is such because domain is the x-element or the one you see at first in the ordered pairs.
Please answer number 1 and 2 with ABC or D
Answer:
1. (a) a+b=86
2. (c) 5.99a+9.99b≤600
Step-by-step explanation:
1.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Gary is buying a memory sticks for each of the 86 teachers. Therefore the total sum of both 16gb and 32gb memory sticks should equal 86:
a+b=86
2.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Each 16gb memory stick cost $5.99, and each 32gb one costs $9.99. Therefore...
5.99a = total cost of 16gb memory sticks
9.99b = total cost of 32gb memory sticks
Gary has to spent an amount less than or equal to $600. Therefore, the total sum of the costs of both 16gb and 32gb memory sticks should be less than or equal to 600:
5.99a+9.99b≤600
Find the value of x.
B
2
X
А A
30°
5
30°
5
Answer:
the x value is 2
because the triangles are similar
i think
The value of x, that is chord CD is 2 cm.
We need to find the value of x.
What is the statement of equal chords of a circle?Equal chords of a circle subtend equal angles at the centre. The converse of the theorem is if two chords subtend equal angles at the centre, they are equal.
In the given diagram chord AB and chord CD subtend the equal angles which are 30°. Therefore, AB=CD=2 cm.
Hence, the value of x, that is chord CD is 2 cm.
To learn more about circle theorems visit:
https://brainly.com/question/19906255.
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What is the value of x in 2.5-0.35x=-3
Answer:
X= 110/7 or 15.7 or rounded to 16
Answer:
x=15.714285
Step-by-step explanation:
-0.35x=-3-2.5
-0.35x=-5.5
-0.35/-0.35= -5.5/0.35
X=-5.5/-0.35
X=15.714285
2. Julio has 1/6 pound of candy. He puts the candy
into 4 bags. Write an expression that represents the
fraction.
Answer:
4/6
Step-by-step explanation:
(1/6 times 4)make 4 into a fraction and that is 4/1 multyply the numerator and denominator 6x1=6 so 6 is the denominator and 4x1 is 4 so 4 is the numerator so its 4/6
The expression that represents the fraction is 1/6 * 1/4 or 1/24
How to determine the fraction?The given parameters are:
Amount of candy = 1/6 pounds
Number of bags = 4
The expression that represents the amount in each bag is:
Amount = Amount of candy/Number of bags
This give
Amount = 1/6 / 4
Express as product
Amount = 1/6 * 1/4
Evaluate
Amount = 1/24
Hence, the expression that represents the fraction is 1/6 * 1/4 or 1/24
Read more about fractions at:
https://brainly.com/question/11562149
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Ms. Moore has a garden in the shape of a rectangle with width measuring 8 km and a length measuring 14 km. What is the area of the garden? *
Rachel received $650 for her birthday. She purchased a surfboard for $477 and some additional accessories without spending more than the money she received.
She wrote the inequality 477 + x < 650.
Is the inequality correct?
Answer:
No, because the inequality symbol should be less than or equal to 650
The points A, B, and D are on circle C, AB=BD, and m ABD = 194°.
What is the measure of AB?
Answer:
AB = 97
Step-by-step explanation:
AB is half of mABD.
Urgent need help now
Answer:
a= (-5,8)
b= (-9,8)
c= (-9,5)
d= (-5,5)
Can someone pleaseeee help me
Answer:
a). Common difference = 4
b). [tex]T_n=4n+3[/tex]
c). 51st term = 207
Step-by-step explanation:
Given arithmetic sequence is,
7, 11, 15, 19......
a). Common difference = Second term - First term
= 11 - 7
= 4
b). nth term of an arithmetic sequence is given by,
[tex]T_n=a+(n-1)d[/tex]
Here, n = number of term
a = First term
d = common difference
By substituting the values in the given formula,
[tex]T_n=7+(n-1)4[/tex]
[tex]T_n=4n+3[/tex]
c). 51st term of the sequence will be,
[tex]T_{51}=7+(51-1)4[/tex]
= 7 + 200
= 207
Lesson 13 Problem Set 5.4
2.
Draw rectangular fraction models of 3 >
f3x3 and
Compare multiplying a number by 3 and by 1 third.
HELP ME PLEASEEEEEEEEE
Answer:
is it 56 units²? if not sorry