Answer:
23
Step-by-step explanation:
Exterior angle property: Exterior angle equals sum of opposite interior angles
51 + 2x +3 = 100
2x + 54 = 100
2x = 100 - 54
2x = 46
x = 46/2
x = 23
a square has an area of 64 square units. if it’s side were only half as long, what would it’s area be??
Answer:
16
Step-by-step explanation:
8x8 is 64, so half of 8 is 4 so 4x4 is 16
Consider the following data to determine whether there is a significant difference between the values of Group 1 and Group 2. Let the significance level be 5%. Group 1: 15, 17, 26, 11, 18, 21, 13, 29 Group 2: 23, 14, 24, 13, 22, 23, 18, 21 What rank will be given to the value 15
Using the t-distribution, it is found that since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.
At the null hypothesis, we test if the groups have the same values, that is, the subtraction of their means is 0:
[tex]H_0: \mu_2 - \mu_1 = 0[/tex]
At the alternative hypothesis, we test if the groups have different values, that is, the subtraction of their means is different of 0:
[tex]H_1: \mu_2 - \mu_1 \neq 0[/tex]
First, we have to find the mean and the standard deviation for both samples, hence, using a calculator:
[tex]\mu_1 = 18.75, \sigma_1 = 6.2507, \mu_2 = 19.75, \sigma_2 = 4.2678[/tex]
The standard errors are:
[tex]s_1 = \frac{\sigma_1}{\sqrt{n_1}} = \frac{6.2507}{\sqrt{8}} = 2.21[/tex]
[tex]s_2 = \frac{\sigma_2}{\sqrt{n_2}} = \frac{4.2678}{\sqrt{8}} = 1.5089[/tex]
For the distribution of differences, we have that:
[tex]\overline{x} = \mu_2 - \mu_1 = 19.75 - 18.75 = 1[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.21^2 + 1.5089^2} = 2.676[/tex]
We have the standard deviation for the samples, hence, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu[/tex] is the value tested at the null hypothesis, which is 0 for this problem. Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{1 - 0}{2.676}[/tex]
[tex]t = 0.37[/tex]
To find the p-value, we have a two-tailed test, as we test if the means are different from a value, with t = 0.37 and 8 + 8 - 2 = 14 df.
Using a t-distribution calculator, this p-value is of 0.72.
Since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.
A similar problem is given at https://brainly.com/question/15682365
Write the equation of the line in fully simplified slope-intercept form.
Answer:
Where is the problem?
Step-by-step explanation:
Aldo earns 51 dollars a week working at the bookstore he makes one dollar more for each book that he sells . the amount , A (in dollars )that Aldo earns a week of he sales b books is given by the following function
A(b)=51+b
Answer:
False.
Step-by-step explanation:
A x b does not equal to A + b. Addition and mutiplication is different.
6d + 20b ≤ 150
Solve for D and B
The help is highly appreciated and the best answer will get brainliest
thank you
Answer:
solving for b is b ≤ 15/2 - 3d/10
solving for d is d ≤ 25 - 10b/3
Please help me please!!!!!!!!!
Step-by-step explanation:
the radius is diameter divided by 2
7/2/2 =1 .75
circumference of a circle is 2πr
2*22/7*1.75=11
3.14*11 =34.54
A teacher printed 730 copies how long did it take to print
Answer:
Can you provide how long it took to print per copy
Step-by-step explanation:
Answer:
it will take him 50 min because their are 730 and that is lot so it will take him 50min
Please Help me Solve this question
Answer:
Step-by-step explanation:
Correct Answer: C
We can rely on the guess and check method to easily solve this problem. Let’s first pick arbitrary values of x and y to eliminate some answer choices.
Let’s consider the case where |x| and let x = 3 and y = -10.
Because x/y = -3/10 < 1, answer choice A is incorrect.
Because |x|2 = (3)2 = 9 and |-10| = 10, we have that |x|2 < y, so answer choice B is also incorrect.
Because x2 + 1= (3)2 + 1 = 10 and y2 + 1 = (10)2 + 1 = 101, we have that x2 + 1 < y2 + 1, so answer choice D is also incorrect.
Now, let’s consider the case where |x|>|y| and let x = 3 and y = -2.
Then, x-2 = 1/x2 = 1/9 and y-2 = 1/y2 = 1/4. This means that x-2 < y-2 , so answer choice E is also incorrect.
This means that answer choice C is correct. We can manipulate the inequality to see why this is true: (x/3 – 5) > (y/3 – 5)
We add 5 to both sides: x/3 > y/3
We multiply both sides by 3: x > y.
We know this is true since we are given that x > 1 > -1 > y, which simplifies to x > y.
what is the area of the rectangle below?
Answer:
B. 120sq. unitsStep-by-step explanation:
The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.
so
8 * 15 = 120sq. units
PLS help me answer both question pls no links and pls no fake answers
Answer:
Step-by-step explanation:
False
Multiplying each side by a positive number does not change the sign
x < -6(5/3)
x < -10
If F=(-3)
Find: F(x)=4x^2-5
Answers:
-41
31
29
None of the Above
Answer:
31
Step-by-step explanation:
as we put the value of X in the function it gives 3
what is a degree 3 polynomial with integer coefficients with zeros 3, -4, 5
please help with this
Answer:
2,4,6,
6,12,18
10,20,30
thanks in advance ill mark brainliest
Answer:
x = 10
Step-by-step explanation:
the unmarked angle in the triangle is the supplement to 6x - 7
180 - (6x - 7)
180 - 6x + 7
187 - 6x
The sum of the angles in a triangle is 180
therefor
(2x + 7) + 26 + (187 - 6x) = 180
Combine like terms
-4x + 220 = 180
Subtract 220 from both sides
-4x = -40
divide both sides by -4
x = 10
Find the distance between two points in the simplest radical form
Answer:
The answer will be 5.
Step-by-step explanation:
using the formula d=/(x2-x1)2 +(y2-y1)
Please view the image above for the question ^^
Answer:
2
Step-by-step explanation:
After reflecting ABC over the y-axis and translating that image down, ABC will map onto DEF.
Answer:
(2)
Step-by-step explanation:
If you reflect ABC across the y axis it would look like DEF but above the x axis; translate it down and you get DEF.
7.
"iş, oluş, durum bildiren köklere fiil kökü denir. Fill
kökleri -mek / -mak mastar eki ile anlamlı şekilde
söylenir."
Açıklamaya göre verilen sözcüklerden hangisi-
nin kökü fiil değildir?
A) evim
B) seçim
C) giyim
D) verim
Answer:
ABWJRIRISBDBDBHSHS
Step-by-step explanation:
Hatdog HWHWHWHSHSHSQIWIW
Which point represents
−
(
−
4
)
−(−4)minus, left parenthesis, minus, 4, right parenthesis on the number
Answer:
C
Step-by-step explanation:
-(-4)
so -×- becomes +
so -(-4)= 4
Answer:
No the answer is D
Step-by-step explanation:
-2
What's 9 + 10?
Whoever gets it right get's the crown!
Answer:
jokes aside it is 19
Step-by-step explanation:
but if it is jokes then 21
Answer:
Step-by-step explanation:
the answer would be 21
Keith’s Florists has 15 delivery trucks, used mainly to deliver flowers and flower arrangements
in the Greenville, South Carolina, area. Of these 15 trucks, 6 have brake problems. A sample
of 5 trucks is randomly selected.
a. What is the probability that 2 of those tested have defective brakes? (5 marks)
b. Is this a discrete or continuous distribution? Explain.
Answer:
= 0.419
Step-by-step explanation:
in pic
(Hope this helps can I please have brainlist (crown)☺️)
PLEASE HELP.
Directions: find x so that L || M. state the converse used
Answer:
8. x=6; supplementary consecutive interior angles
10. x = 4; no applicable theorem
Step-by-step explanation:
8.The marked angles are "consecutive interior" angles. When their sum is 180°, the lines l and m will be parallel.
(7x -15) +(24x +9) = 180
31x = 186
x = 6
Consecutive interior angles being supplementary will make the lines parallel.
__
10.The sum of the remote interior angles of a triangle is equal to the exterior angle:
28x = 48 +16x
12x = 48
x = 4
The above relation holds regardless of whether line l is parallel to line m. There is no applicable theorem or converse.
_____
Additional comment
Adding the marking shown in the attachment would make the converse of the alternate interior angles theorem applicable to problem 10.
Four candy stores are competing with each other. Which
store offers the best buy for candy?
A.) Sweet Store: 12 pack for $3.00
B.) Delicious Treats: 22 pack for $4.62
C.) Sugar Factory: 18 pack for $5.40
D.) Chocolate Shop: 36 pack for $7.20
Answer: The Chocolate shop
Step-by-step explanation:
We should get the cost per one pack for each store.
For the Sweet Store we divide 3.00 by twelve for the cost of one which is:
3 divided by 12 = 0.25
One pack at a sweet store is $0.25
Now do the same for the other stores:
4.67 divided by 22 = 0.21 (Rounded to 2 decimal points)
5.40 divided by 18 = 0.3
7.20 divided by 36 = 0.2
Sweet Store: one pack is $0.25
Delicious Treats: one pack is $0.21
Sugar Factory: one pack is $0.30
Chocolate Shop: one pack is $0.20
Therefore the Chocolate shop is giving you the best deal since each pack is cheaper.
I need help I don’t understand this
Answer:
i need help I 6understand
They estimate that their current fridge (older) which they got for free cost them $19 a month in electricity charges to operate
Answer:
That's an expensive a ss refrigerator It's time to choose an energy star refrigerator that's only going to cost them about $2.90 per month. in about 32 months paying $19 a month they would have paid for an energy star refrigerator. if they keep that same refrigerator they would be buying a brand new refrigerator every 32 months. spending the 600 dollars now for a new refrigerator would save them $16.10 per month. The savings would pay for that same refrigerator in about 38 months.
let f be the function given by f(x)=sin x + e^-x +3x. which of the following statements is true for y=f(x).
Applying derivatives, it is found that the correct options are:
A. [tex]y^{\prime\prime}(x) = -\sin{x} + e^{-x}[/tex]
D. [tex]y - y^{\prime\prime\prime\prime}(x) = 3x[/tex]
The function given is:
[tex]f(x) = \sin{x} + e^{-x} + 3x[/tex]
It's first four derivatives are:
[tex]y^{\prime}(x) = \cos{x} - e^{-x} + 3[/tex]
[tex]y^{\prime\prime}(x) = -\sin{x} + e^{-x}[/tex]
Hence, option A is correct.
[tex]y^{\prime\prime\prime}(x) = -cos{x} - e^{-x}[/tex]
[tex]y^{\prime\prime\prime}(x) \neq y^{\prime}(x)[/tex], hence, option B is incorrect.
[tex]y^{\prime\prime\prime\prime}(x) = sin{x} + e^{-x}[/tex]
It is not the multiplication of the first and of the third derivative, hence option C is incorrect.
[tex]y - y^{\prime\prime\prime\prime}(x) = 3x[/tex]
[tex]\sin{x} + e^{-x} + 3x - \sin{x} - e^{-x} = 3x[/tex]
[tex]3x = 3x[/tex]
Hence, option D is correct.
A similar problem is given at https://brainly.com/question/17042788
The graph below represents the function f(x) and the translated function g(x).
AVA
2x
/g(x)
a
If f(x) = x, which of the following functions could be an algebraic representation of g(x)?
Evaluate.
2 1/4 + 2/5 / (-1/2)-1/4
Enter your answer as a mixed number in simplest form in the box.
Answer:
[tex]1\frac{1}{5}[/tex]
Step-by-step explanation:
2 1/4 + 2/5 / (-1/2)-1/4
order of operation states you do division before subtraction or addition
2 1/4 -4/5 -1/4....divide 2/5 by -1/2
2 - 4/5.................combine like terms
6/5........................subtract
1 1/5.......................simplify
The length of the
hypotenuse of a right-
angled triangle is 7.8 cm,
correct to 1 decimal place.
One of the shorter side
lengths is 2.1 cm, correct
to 1 decimal place. Estimate
the length of the remaining
side, rounding your answer
to 1 decimal place.
Answer:
7.5 cm
Step-by-step explanation:
Since it's a right triangle, apply pythegorean theorem
Let the missing side be x
[tex] {7.8}^{2} = 2.1 { }^{2} + x {}^{2} [/tex]
[tex]60.84 = 4.41 + {x}^{2} [/tex]
[tex] {x}^{2} = 60.84 - 4.41[/tex]
[tex] {x}^{2} = 56.43[/tex]
[tex] \sqrt{ {x}^{2} } = \sqrt{56.43} [/tex]
[tex]x = 7.5[/tex]
Therefore, the length of the missing side is 7.5 cm
Addison plays 6 songs in of an hr. How many
songs can she play for 4 hours?
Answer:
24
Step-by-step explanation:
4x6=12or 2x6=12so then 12+12=24
Answer:
6 songs per hour, so multiply that with the number asked which is four
so four times six is24
so she can play 24 songs in four hours!
~ ...
~ !
~ !
a
2. During one month, a homeowner used 400 units of electricity and 120 units of gas for a total cost
of $73.60. The next month, 350 units of electricity and 200 units of gas were used for a total cost of
$72. Find the cost of a unit of gas.
Define variables:
Equation:
Equation:
Solution:
Answer:
Step-by-step explanation:
120G + 400E = 73.60
400E = 73.60 - 120G
E = 0.184 - 0.3G
200G + 350E = 72.00
200G + 350(0.184 - 0.3G) = 72.00
200G + 64.4 - 105G = 72.00
95G = 7.60
G = $0.08/unit