Answer:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
reject H0
Step-by-step explanation:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
To compute the test statistic :
We need the sample mean and sample standard deviation :
15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10
Using calculator :
Sample mean, m = 15.887
Standard deviation = 0.13
Test statistic :
(m - μ) / s/sqrt(n)
(15.887 - 16) / 0.13/sqrt(10)
-0.113 / 0.0411096
= - 2.749
Tcritical at 95%
Tn-1, 0.025
T10,0.025 = 2.262
Since the test statistic value is less than the critical value, reject H0
In which of the following triangles are AB || DE?
The photos are the options to choose from! <3
Answer:
1st triangle and 4th triangle
How many of the following polygons are CONCAVE
(GIVING BRAINLIYEST)
7. what is the volume of these 2 objects
figure #1
smaller part
4x7x2= 56m
larger part
4x3x7= 84m
84+56= 140m³
figure #2
smaller part
2x4x3= 24m
larger part
4x4x12= 192m
192+24= 216in³
Answer:
3 is 140i think 4 is 396 (sorry if im wrong about 4)
Step-by-step explanation:
Prove that the value of the expression 7^8–7^7 +7^6 is divisible by 43.
Step-by-step explanation:
1. if to evaluate the given experssion, then
7⁶(7²-7+1)=7⁶*43.
2. if to divide this evaluated expression by 43, then
7⁶*43/43=7⁶.
Simplify: (6q^3)^2
And tell me step by step
Answer:
36q^6
Step-by-step explanation:
First, use the distributive property and so you would have 6²q^6. Then you would solve 6² which is 36. Lastly, the answer will be 36q^6. Explaining is my weakness and I tried to help.
X^2- 2x - 54 = 0
I need the answer to this please
x = 1 + √ 55 , 1 − √ 55 or
x = 8.41619848 , − 6.41619848
Can anyone help me with this plsss
Answer:
C. 2
Step-by-step explanation:
[tex]3 \frac{1}{2} \times \frac{4}{7} \\ = \frac{3 \times 2 + 1}{2} \times \frac{4}{7} \\ = \frac{7}{2} \times \frac{4}{7} \\ = 2[/tex]
hope it helps :)
Answer:
C
Step-by-step explanation:
3 1/2 = 7/2
4/7 = 4/7
7/2 x 4/7 = 28/14 or 2
paige was planning to watch marathon episodes of her favorite show. the show had 48 episodes with each episode lasting exactly 22 minutes. if she planned to spend 4 days watching the show how many minutes should she watch each day?
Answer: 12
Step-by-step explanation: I did the math
how would you write the fraction 5/2 as a division expression?
a. 5÷ 1/2
b. 2÷5
c. 1/2 ÷5
d. 5÷2
What is a sum of 1/2 and 3/10 in simplest from
Answer:
4/5
Step-by-step explanation:
1/2=5/10
5/10+3/10=8/10
simplified or 8/10 divided by 2 =4/5 and u cant simplify it anymore
Answer:
4/5
Step-by-step explanation:
convert 1/2 to 5/10 then and 3/10 then simplify and you get 4/5
Perform the operation.
(-10x² + 9) + (8x2 – 5x + 7)
HELP ASAP PLS
Answer:
-2x² - 5x + 16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
(-10x² + 9) + (8x² - 5x + 7)
Step 2: Simplify
Combine like terms (x²): -2x² + 9 - 5x + 7Combine like terms (Z): -2x² - 5x + 16The temperature this morning was 57 degrees. The temperature then rose about 2 degrees every hour until noon. I can represent this relationship as a linear equation.
Answer:
2x+57=y is the answer
Step-by-step explanation:
x is the days and y is the finale temp while the 57 is the starting point
How would you graph
y = 2x - 1? , ILL MARK BRAINLIST
Answer:
Starts at negative 1 Y-axis, and then go yp 2 and 1 to the right
what is the mesaure of angle a
Answer:
i think its 133
Step-by-step explanation:
i just subtracted 47 from 180 bc the straight line is 180 angle
The perimeter of a rectangular field is 580 yards. The length is 30 yards more than the width. Find the length and width of the field (in yards).
2 L + 2 W = 580
W = L - 30
2( L - 30) + 2 L =580
2L - 60 + 2 L =580
4 L = 640
L = 160
W = 160-30= 130
160 × 2 + 130 × 2 = 580
I don’t understand how to find SN? Can someone help please?
Lesson 7 Extra Practice Equivalent Expressions Simplify each expression. 1. 5x + 3x 8x 2. 2x + x 3x 3. 6x + 8x 14x 4. 9x + 3x 12x 5. 7x + 4x 11x 6. 10x + x 11x 7. 3x + 2 + 4x 7x + 2 8. 15x + 3 + x 16x + 3 9. 2x + 5 + 6x 8x + 5 10. 7x + 2x + 4 9x + 42 11. 18x + 3x + 9 21x + 9 12. 6x + x + 8 7x + 8 Factor each expression. 13. 21x + 15y 3(7x + 5y) 14. 2x + 14y 2(x + 7y) 15. 15x + 10y 5(3x + 2y) 16. 12x + 18y 6(2x + 3y) 17. 10x + 30y 10(x + 3y) 18. 6x + 14y 2(3x + 7y) 19. 8x + 16y 8(x + 2y) 20. 45x + 27y 9(5x + 3y) 21. 54x + 48y
Answer:
uhh which 1
Step-by-step explanation:
The expressions are simplified and factored in as below.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The expressions are simplified as,
1.
5x + 3x
= 8x
2.
2x + x
= 3x
3.
6x + 8x
= 14x
4.
9x + 3x
= 12x
5.
7x + 4x
= 11x
6.
10x + x
= 11x
7.
3x + 2 + 4x
= 7x + 2
8.
15x + 3 + x
= 16x + 3
9.
2x + 5 + 6x
= 8x + 5
10.
7x + 2x + 4
= 9x + 42
11.
18x + 3x + 9
= 21x + 9
12.
6x + x + 8
= 7x + 8
13.
21x + 15y
= 3(7x + 5y)
14.
2x + 14y
= 2(x + 7y)
15.
15x + 10y
= 5(3x + 2y)
16.
12x + 18y
= 6(2x + 3y)
17.
10x + 30y
= 10(x + 3y)
18.
6x + 14y
= 2(3x + 7y)
19.
8x + 16y
= 8(x + 2y)
20.
45x + 27y
= 9(5x + 3y)
21.
54x + 48y
= 3 (18x + 16y)
Thus,
The expressions are simplified and factored in as above.
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Please help me i'm cri.
A.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Common Factors: 1, 2, 3, 4, 6, and 12
-----
B.
Factors of 16: 1, 2, 4, 8, and 16.
Factors of 56: 1, 2, 4, 7, 8, 14, 28, and 56
Common Factors: 1, 2, 4, and 8
-----
C.
Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30.
Factors of 75: 1 , 3 , 5 , 15 , 25 and 75
Common Factors: 1, 3, 5, and 15.
-----
D.
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
Common Factors: 1, 2, 3, 6, 9, and 18.
-----
E.
Whenever finding the greatest common factors of any pair of numbers it is necessary to list all the factors of each number. Then find the number that appears in both!
7. (ASV, Exercise 2.20 ) - 3 points. A fair die is rolled repeatedly. Use precise notation of probabilities of events and random variables for the solutions to the questions below. (a) Write down a precise sum expression for the probability that the first five rolls give a three at most two times. (b) Calculate the probability that the first three does not appear before the fifth roll. (c) Calculate the probability that the first three appears before the twentieth roll but not before the fifth roll.
Answer:
0.9646 ; 0.5685
Step-by-step explanation:
Given that :
P(obtaining 3 on a die roll) = 1/6 = 0.1667
Obtaining 3 at most 2 times in five trials
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
n = 5 ;, p = 0.1667
P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)
Using the binomial probability :
P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608
P(x ≤ 2) = 0.9646
B.) using geometric distribution :
(1 - p)^x-1 * p
P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)
1 - (0.1667 + 0.1157+0.0965+0.0804)
= 0.5685
Write 4% as a
fraction in lowest terms.
Answer:
1/25
Step-by-step explanation:
Can some one help me with these 2 questions I’ll give you brainliest
9514 1404 393
Answer:
2 + 5i
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{(25+19i)}{(5-3i)}=\dfrac{(25+19i)(5+3i)}{(5-3i)(5+3i)}\\\\=\dfrac{68+170i}{34}=\boxed{2+5i}[/tex]
__
In general, the multiplication proceeds the way it would if i were a variable. The difference is that i² can be replaced by -1.
Carl has $195.000. Carl wants to buy as many calculators as possible. Each calculator costs $6.50
Pick the correct compound inequality that represent "All real numbers that
are greater than -6 but less than 6"*
-6 X 36
6 sxs-6
-6
0 -6
The correct compound inequality which represents the given statement is -6 < x < 6.
What are Compound Inequalities?Compound inequalities are inequalities which are formed by combining two simple inequalities.
For example, 3 < x < 6 is a compound inequality which is a combination of x > 3 and x < 6.
Given statement is,
All real numbers that are greater than -6 but less than 6.
Let x represents the numbers satisfying the inequality.
All real numbers greater than -6 can be expressed as x > -6.
All real numbers that are less than 6 can be expressed as x < 6.
These two inequalities has to be combined.
x > -6 and x < 6
-6 < x < 6, which is the compound inequality.
Hence the compound inequality is -6 < x < 6.
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Let wong has a box of cereal that states that there are 81 calories in 3/4 cup of serving. What is the rate of calories per cup
Answer:
108 calories per cup
Step-by-step explanation:
en la pescaderia de un centro comercial se vende por la mañana 3/4 partes del pescado que tenían. por la tarde se vende 4/5 de lo que les quedaba. si al terminar el día aún quedan 100 kg de pescado,¿ Cuántos kilos tenían?
Answer:
Ta fácil le quedan 5 kilos :v de que grado es esto._.
What is the leading coefficient of the polynomial f(c) defined below? need help asap!
Answer: 7
Step-by-step explanation:
The leading coefficient is the number before the term with the highest power in your polynomial. The coefficient is just a number or constant that is before a variable in your expression.
In this case, the highest degree in this polynomial is five. If we look at the coefficient of that term, we see that it is seven.
Given the Isosceles Trapezoid, find the measure of the missing? angle.
Answer:
s＝65
Step-by-step explanation:
T to S is 180
180－115=65
graph the line with the equations y=−x−2?
Answer:
The picture has the graphed line on it.
A jeweler is making a triangular pendant. He has two sides of length 23 mm and 31 mm. What are the possible lengths (in whole mm) for the third side?
A. 8 mm or less
B. between 9 mm and 53 mm
C. 54 mm or more
D. not possible
Answer: between 9 mm and 53
Step-by-step explanation:
U do 23 - 31 you get 8 then you do 23 + 31
Can someone please help me
Answer:
A. 1200
Step-by-step explanation:
Speed in meter per minute
= (216*1000)/(3*60)
= 216000/180
= 1200
Answer:
A. 1200
Step-by-step explanation:
Distance travelled (d)
= 216 km
= 216000 m
time taken (t)
= 3 hours
= 3 * 60
= 180 min
Speed (s)
= d / t
= 216000/180
= 1200 m / min
The speed of the car is 1200 metres per minute.
