Answer:
1. 112.364<μ,131.636
2. mean = 122
3. critical value = +-2.1318
Step-by-step explanation:
117+118+140+116+119/5
= 610/5
= 122
the sample mean = 122
the sample standard deviation
s² = (117-122)²+(118-122)²+(140-122)²+(116-122²)+(119-122)²/5-1
= 25+16+324+36+9/4
= 410/4
= 102.5
s² = 102.5
s = √102.5
s= 10.12
SE = s/√n
= 10.12/√5
= 4.52
degree of freedom = 5-1 = 4
critical value of t = +-2.1318 using soft ware
confidence interval =
mean +- t(SE)
122-(2.1318)(4.52), 122+(2.1318)(4.52)
= [112.364, 131.636]
112.364<μ,131.636
therefore these are the answers in the ordre it was given in the question
1. 112.364<μ,131.636
2. mean = 122
3. critical value = +-2.1318
What is the product of (x - 5) and (x - 4)? Use the model to find the result.
Answer:
x2 - 9x +20
Step-by-step explanation:
- The two rectangles shown have equal areas. Find the value of x.
9 ft
4 ft
(6x + 6) ft
4x ft
-20t > -80
can you solve this and graph it
Given:
The inequality is:
[tex]-20t>-80[/tex]
To find:
The solution for the given inequality and graph of it.
Solution:
We have,
[tex]-20t>-80[/tex]
Divide both sides by -20 and change the sign of inequality because inequality is divided by a negative number.
[tex]\dfrac{-20t}{-20}<\dfrac{-80}{-20}[/tex]
[tex]t<4[/tex]
Therefore, the solution for the given inequality is [tex]t<4[/tex].
All the value less than 4 are in the solution set. It means all the values on the left side of 4 are in the solution set.
Since 4 is not included in the solution set, therefore there is an open circle at 4.
The graph for the given inequality is shown below:
A hardware store received 2.5 tons of
lumber. What is the weight of the
lumber in pounds?
A 50,000 pounds
® 25,000 pounds
5,000 pounds
D 2,500 pounds
Answer:
5000 pounds
Step-by-step explanation:
Hello There!
There are 2000 pounds in 1 ton
So to convert tons to pounds we multiply by 2000
2.5x2000=5000
So 2.5 tons is the equivalent if 5000 pounds
a clothing store is having a sale on tshirts. the first tshirt you buy costs $7, and every additional shirt costs only $5
Answer:
12
Step-by-step explanation:
bc I added 7+5 equals 12
An employee at a home improvement store is
Answer:
Large: 17,125
Small: 78,100
Step-by-step explanation:
someone please help me answer this!!
Answer:
5.5 x 10 ^ 0
Step-by-step explanation:
Matt made the model below to help him solve his math problem. Write and expression that matches Matt’s Model.
Answer:
1/3 x 3/4
Step-by-step explanation:
he took 1/3 of 3/4 means that he did 1/3 x 3/4
What is the diameter of a 15 ft circle?
Answer:
47.12
Step-by-step explanation:
How do I solve for x
Answer:
x=-4
Step-by-step explanation:
The angles have to equal eachother, so:
130=134+x
subract 134 from both sides
-4=x
Please help with this
Answer:
[tex]S_{25}=555[/tex]
Step-by-step explanation:
Given that,
In an AP, the 6th term is 39 i.e.
[tex]a_6=a+5d\\\\39=a+5d\ ....(1)[/tex]
In the same AP, the 19th term is 7.8 i.e.
[tex]a_{19}=a+18d\\\\7.8=a+18d\ ......(2)[/tex]
Subtract equation (1) from (2).
7.8 - 39 = a+18d - (a+5d)
-31.2 = a +18d-a-5d
-31.2 = 13d
d = -2.4
Put the value of d in equation (!).
39 = a+5(-2.4)
39 = a- 12
a = 39+12
a = 51
The sum of n terms of an AP is given by :
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
Put n = 25 and respected values,
[tex]S_{25}=\dfrac{25}{2}[2(51)+24(-2.4)]\\\\=555[/tex]
Hence, the sum of first 25 terms of the AP is equal to 555.
Amira wrote the inequality p + 5 = 18. Which situation is best represented by this inequality?
Answer: Amira added 5 candy bars to the p pile of candy bars there were no more than 18 candy bars in the pile.
Step-by-step explanation: hope this helps
Pls help! The question is in the picture down below!
Answer:
Let me know if there is anything you don't get
∠3 = 102 because ∠1 and ∠3 are supplementary and 102 + 78 = 180
∠4 = 102 because ∠1 and ∠4 are consecutive interior angles
∠5 = 78 because ∠1 and ∠5 are corresponding angles
∠6 = 133 because ∠2 and ∠6 are supplementary angles
∠7 = 47 because ∠2 and ∠7 are vertical angles
∠8 = 47 because ∠2 and ∠8 are opposite interior angles
∠9 = 133 because ∠8 and ∠9 are supplementary, and we just saw ∠2=∠8
∠10 = 102 because ∠1 and ∠10 are supplementary
You could have used a whole bunch of different relations, but I wanted to focus on ∠1 and ∠2 since those were told to us
Step-by-step explanation:
For this question you need to know several parts of geometry. Let me know if anything doesn't make sense.
First, parallel lines are two or more lines which are angles in such a way that no matter how long they are they will not cross. In other words they are slanted at the same angle. you can see this with lines a and b in this picture.
Second, a transversal is a line that crosses through two or more parallel lines. A transversal creates a number of angles that have special properties. I would like you to look specifically at line c as I describe these angles. line c is a transversal to Ines a and b. Also line d is also a transversal.
There are seven special angles to know.
The easiest is supplementary angles. This you don't need parallel lines, but if any two lines ever cross this creates 4 angles. you can actually look at where lines c and b intersect in your problem. Angles 2. 6 and 7 are labeled but there is one more unlabeled one. Now, 180 degrees is a straight line. With angles you can see angles 6 and 7 add together to be a straight line. Similarly 2 and 6 do as well. These are two sets of supplementary angles.
To list off the supplementary angles here 9 and 8 are supplementary, as are 2 and 6, 6 and 7, 1 and 3, 1 and 10, and finally 4 and 5.
From supplementary angles comes vertical angles. Again, if you look at angles 2, 6 and 7 we already know ∠2 + ∠6 = 180 and ∠6 + ∠7 = 180. Well lets say ∠6 = 133. Well then, we could use algebra to see that both ∠2 AND ∠7 are 47 degrees. This is the property of vertical angles. if you have two lines intersecting, any two angles that have a third in between the are called vertical angles, and are equal.
some examples of vertical angles are ∠2 and ∠7as well as ∠3 and ∠10,
Finally we go into parallel line specific angles. If you have two or more parallel lines with a transversal, so in particular look at a and b as the parallel lines and c as the transversal. The transversal creates some special angles. in particular, the transversal crosses a and b at the same angle, so angles 8 and 7 have the same value. These are known as corresponding angles, since they correspond tot he same position with a transversal crossing through parallel lines.
the corresponding angles in the picture are ∠8 and ∠7, ∠3 and ∠4 and finally ∠1 and ∠5. the last two using line d as a transversal.
After corresponding angles opposite interior angles I think are the next logically to look at. Opposite means they are on two different parallel lines and on different sides of the transversal, while interior means they are between the parallel lines. so if you look at the parallel lines a and b there are angles 8 and 2 that are interior angles. Since 8 is against line a and 2 is against line b, and ∠8 is above transversal c while ∠2 is below it, they are opposite angles. so 8 and 2 are opposite interior angles. Now, if you look at ∠8 and ∠7 you know these are corresponding angles, then ∠7 and ∠2 are vertical angles. This means opposite interior angles are equal.
A list of opposite interior angles are ∠8 and ∠2, and ∠10 and ∠4.
Alongside opposite interior, there are opposite exterior angles. opposite means on different parallel Ines and on opposite sides of the transversal, while this time exterior means not between the parallel lines. Now just like we figured with opposite interior angles
The only labeled pair of opposite exterior angles are ∠9 and ∠6. Now just like we figured with opposite interior angles, let's start with ∠8 and ∠9, which are supplementary. then ∠8 and ∠7 are corresponding angles so ∠9 and ∠7 are supplementary. We can also see ∠7 and ∠6 are supplementary. well, since ∠9 + ∠7 = 180 = ∠6 + ∠7 then ∠9 = 180 - ∠7 = ∠6 so ∠9 = ∠6. This shows opposite exterior angles are equal.
So we did two kinds of opposite angles, it might make sense there are non opposite angles. And there are. these are called consecutive angles. There are consecutive exterior and consecutive interior angles. An example of each are ∠1 and ∠4 for consecutive interior, consecutive because they are on the same side of the transversal, and interior because they are between the two parallel lines. ∠3 and ∠5 are consecutive exterior angles.
You can use similar reasoning we have been so far to conclude all consecutive angles are supplementary
HELP!!!!! WILL GIVE BRANLIEST !!!!!
Answer:
F = (-2,4); E = (-2,0); D = (2,0)
Step-by-step explanation:
F = 4 points from A, so by a scale factor of 2, it would be 2 times father away from A. The same thing applies for all of the other points; just find how much father A is from a point, then dilate that point by multiplying it by the scale factor, and settling the point closer or father from A.
(10y + 3) - (2y - 2)
Answer:
8y+5
Step-by-step explanation:
Can someone help me plzzzz with this math question!!!!!! “Buy one, get one free” special at T-Mobile for an iPhone 12. The cost is $1150. Calculate what you are actually paying for each item since you are getting two for one price. What is the sale price of each phone?
Answer:
$575
Step-by-step explanation
1150/2 = 575
Answer:
$1150
Step-by-step explanation:
because it is a buy one (for sale price), get one free
solution to 3x+4=3x+4
Answer:
6x+8
Step-by-step explanation:
Brainliest?
Answer:
0 = 0
Step-by-step explanation:
Subtract 4 from both sides of the equation
3 + 4 − 4 = 3 + 4 − 4
Simplify
Subtract the numbers
3 = 3 + 4 − 4
3 = 3
Subtract 3x from both sides of the equation
3 − 3 = 3 − 3
Combine like terms
0 = 3 − 3
Result
0 = 0
Select all the correct answers. Which expressions represent a difference of squares?
Answer:
25x2-36
1-16x2
Step-by-step explanation:
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
Mean: 10
Median: 10.5
Mode: none
Step-by-step explanation:
there is no mode, mean is 10 and median is 10.5
If c varies directly as the square root of d, and c=14, when d = 64, find c when d= 324
Answer:
c = 31.5
Step-by-step explanation:
Given c varies directly as [tex]\sqrt{d}[/tex] then the equation relating them is
c = k[tex]\sqrt{d}[/tex] ← k is the constant of variation
To find k use the condition c = 14 when d = 64, then
14 = k ×[tex]\sqrt{64}[/tex] = 8k ( divide both sides by 8 )
1.75 = k
c = 1.75[tex]\sqrt{d}[/tex] ← equation of variation
When d = 324 , then
c = 1.75 × [tex]\sqrt{324}[/tex] = 1.75 × 18 = 31.5
please answer !! will give brainliest
Answer:
7.10 I think its 7.10
50 POINTS + BRAINLIEST
PLEASE DONT STEAL POINTS
Answer:
1/2 of
4/3 x
3 x
1 unit of
Step-by-step explanation:
have a nice day!
Answer:
1/2 of
4/3 x
3 x
1 unit of
half of, twice, greater than
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
Algebra 2
Could u help me pls
Answer:
log150=2.1716091259
Step-by-step explanation:
Press it on your calculator
Help please some one
Answer:
i dont know im just doing this for the points
A principal wants to know if students at a particular high school are in favor of a new dress code at their school. The principal is not able to ask the opinion of every student at the school, so she needs to select an appropriate sample of the students to represent the high school. Select which sample of students the principal should choose. A Students randomly selected from a list of all students at the school. B Students sitting at randomly selected tables in the library. Students she selects from the hallway between classes. Students selected by the teachers.
Answer:
student randomly selected from a list of all students at the school
One angle of an isosceles triangle measures 76º. Which other angles could be in that
isosceles triangle? Choose all that apply.
Answer:
52 or 28
Step-by-step explanation:
An isosceles has 2 congruent angles.
There are 2 possibilities:
A) There are two 76-deg angles and one angle of a different measure.
76 + 76 + x = 180
x = 28
B) There are two congruent angles, and 76 is the non-congruent angle.
x + x + 76 = 180
2x = 104
x = 52
Answer: 52 or 28
What's all equivalent to 7/8
Answer:
0.875?
Step-by-step explanation:
I just did 7 divided by 8
Answer:
14/16
49/56
Step-by-step explanation:
I looked it up for you!!!
plzzzzz help me plz plz plz
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 11.52
Explanation:
1.28 x 9 = 11.52
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
What is mZ1?
820
660
1
Answer:
∠1 = 148°
Step-by-step explanation:
the triangle interior angles = 180°
the unknown interior angle = 180° - 82° - 66° = 32°
∠1 = 180° - 32° = 148° because it is supplementary to 32° (adds together to total 180°)
Using the same survey methodology: random sample of US residents between the ages of 18 to 75 who registered on the Crest website as a product, Crest wants to divide the research population into heterogeneous groups based on age and gender and then draw a random sample from each of the different groups. Based on this information, what type of sampling method would Crest use to conduct this survey
Answer:
Stratified sampling
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.
