answer:
we reject null and conclude that this manufacturers claim is false
Step-by-step explanation:
p = 30% = 0.30
p^ = 93/150 = 0.62
we state the hypothesis
H0: p = 0.30
h1: p not equal to 0.30
we find the z test stattistics
[tex]z=\frac{p^--p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
[tex]z=\frac{0.62-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }[/tex]
[tex]z=\frac{0.32}{\sqrt{\frac{0.30*0.70}{150} } }[/tex]
[tex]z=\frac{0.32}{0.03741}[/tex]
z = 8.5538
at alpha = 0.05
z-critical = Z₀.₀₅/₂ = Z₀.₀₂₅
= 1.96
we compare z critical with the test statistic
z statistic > z critical so we have to reject H₀ and conclude that the manufacturers claim is not valid at 0.05 level of significance.
The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day. When the length is 10 meters and the width is 23 meters, then how fast is the AREA changing
Answer:
[tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Rectangle: A = lw
l is lengthw is widthCalculus
Derivatives
Derivative Notation
Implicit Differentiation
Differentiation with respect to time
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle l = 10 \ meters[/tex]
[tex]\displaystyle \frac{dl}{dt} = 4 \ m/day[/tex]
[tex]\displaystyle w = 23 \ meters[/tex]
[tex]\displaystyle \frac{dw}{dt} = 1 \ m/day[/tex]
Step 2: Differentiate
[Area of Rectangle] Product Rule: [tex]\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}[/tex]Step 3: Solve
[Rate] Substitute in variables [Derivative]: [tex]\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)[/tex][Rate] Multiply: [tex]\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day[/tex][Rate] Add: [tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
plss help mehhhhhhhhhh
Answer:
12=12 infinitely many solutions
x=8 one solution
4[tex]\neq \\[/tex]6 no solution
Step-by-step explanation:
ʕ•ᴥ•ʔ
solve for x: -3(x+7)=5 . Explain how you solved for x and how you know your answer is correct
Answer:
Step-by-step explanation:
-3(x+7)=5
1. Multiply 3 and x+7 , you will get -3x-21=5
2. Add 21 on both sides, you will be left with -3x=26
3. Divide both sides with -3, and x will equal to -26/3
The height of a rocket, in feet, t seconds after it is launched is modeled by the function h(t) = -16t2 + 125t + 24. Which interval has the largest change in height?
A. 0-1 second
B. 3-4 seconds
C. 5-6 seconds
D. 7-8 seconds
Answer:
a
Step-by-step explanation:
trust
Highest common factor of 15 30 and 45
Step-by-step explanation:
I believe it is 15...all the numbers can be divided by 15, since 15 is the smallest number it is also the highest common factor only because 30 and 45 can be divided by 15
.......hope it helps!
Answer:
15
Step-by-step explanation:
Find the prime factors for each number as:
45 =3 × 3 × 5
30 = 2 × 3 × 5
15 = 3 × 5
Now identify the common factors and determine the GCF:
Therefore:
HCF = 3 × 5 = 15
Find the area of the triangle created with the diagonal. Each side length measures 8 feet. Help ASAP please.
Pleasee helppp it’s due todayyy
Answer:
88 is a solution to 1/8 x =11, since a solution means that x is equal to that number, so in this scenario, x=88. When substituted(88*0.125), the same answer, 11, is obtained.
Step-by-step explanation:
Enter the value of f(4) for the following function:
Answer:
648
Step-by-step explanation:
8x3x3x3x3=8x81=648
Help fast pleaseeeee
we will find the area of triangle with sides 5y,6y and 9y using herons formula
The graph of triangle ABC is shown below:
What is the area, in square units, of triangle ABC?
Answer:
36 square units
Step-by-step explanation:
Height = 9
Base = 8
Area of a triangle = A = 1/2bh
Plug in
1/2 (8) (9) = 4 x 9 = 36
Name the two congruent triangles
Answer:
∆ABE ≅ ∆DCE by SAS Congruence Theorem.
Step-by-step explanation:
The diagram given indicates the following:
<E ≅ <E (vertical angles)
AE ≅ DE
BE ≅ CE
Thus, an included angle, <E, and two side lengths, AE and BE, in ∆ABE are congruent to an included angle, <E, and two corresponding side lengths, DE and CE, in ∆DCE. By the SAS Congruence Theorem, both angles are congruent to each other.
Therefore:
∆ABE ≅ ∆DCE by SAS Congruence Theorem.
Ava bought 2 sandwiches for a total of $5.25, a bowl of soup for $3.00, and a bag of chips for $1.25. How much change did she get back if she paid with a $20.00 bill?
Answer:
Step-by-step explanation:
5.25
3.00
1.25
_____
$ 9.50
- 20.00
_______
$10.5
can someone help me with this please
Answer:
45 degrees I believe
Step-by-step explanation:
Answer: 30 degrees
Step-by-step explanation:
The opposite and hypotenuse sides are given, so we use sine.
sinx = O/H = 25/50
sinx = 1/2
x = 30 degrees
If you divide me by 9, the remainder is 4. I am a multiple of 10. What two-digit number am I?
Answer:
40?
Step-by-step explanation:
i tried
A basketball player has a 60% chance of making each free throw. What is the probability that the player makes exactly
three out of six free throws?
If one he side of a square note book measures 20cm what is the area of the front cover of the note book
Answer:
400 sq cm
Step-by-step explanation:
20cm x 20cm
Answer if your smart Zoey can text 90 words in 4 minutes. At this rate, how many minutes would it take her to text 45 words?
Answer:
2 minutes
Step-by-step explanation:
90 words÷4 minutes
=22.5 words
22.5 words×2 minutes
=45 words
A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a heigh of 3 1/4 centimeters What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal
Answer:
Step-by-step explanation:
V=lbh=1 1/4×4×3 1/4
=5/4×4×13/4
=65/4
=16 1/4 cm³
=16.25 cm³
Volume of a rectangular prism can be found by multiplying all three dimensions of the prism together: V = lwh
What is the equation of the line (-1,-4) (1,0)
Answer:
what do you mean by equation
Step-by-step explanation:
i was able to get you the slope form of it if thats okay
y=2x-2 in order to find the slope use the pdf i attached it should provide an example
Answer choices please help
240
200
240
280
What fraction is equivalent to 8%
2/25
4/50
8/100
this are the smallest fractions equivalent to 8%
Answer:
8/100
Step-by-step explanation:
8% = 0.08 = 8/100
let me know if you need more of an explaination <33
ags of sugar come in 3 sizes.
Small bag: A 250 g bag costs 64p.
Medium bag: A 575 g bag costs £1.25.
Large bag: A 1.25 kg bag costs £2.54.
Find the cost per gram for each bag of sugar.
Round your answers to 3dp.
Write which size of bag is best value for money in the comment box.
Answer:1 gram of the small bag costs 0.256p ,1 gram of the medium bag costs 0.217p and 1 gram of the big bag costs 2. 032p
Step-by-step explanation:
Solve the equation. The symbol "^" mean "raised to the second power"
C^2=28.2+42.1
Answer:
Step-by-step explanation:
c^2=28.2 + 42.1
SOLVE FOR A
A=logc (703/20), c ≠ 1 and C > 0
SOLVE FOR C
{ c = - (700/20) 1/a, A ≠ 0 and Numberator (A) bmod 2 = 0 and denominatior (A)bmod 2=1 SOOOOOOO a ≠ 0
Ms. Smith mixes orange juice with seltzer in a ratio of 3:1. If she uses 48 ounces of orange juice, how many ounces of seltzer does she need?
Answer:
16 oz
Step-by-step explanation:
the ratio is 3 oz of oj to 1 oz of seltzer.
I pretty much just divided 48 by 3.
I hope this is correct and I hope it helps you!
Which equation can be used to describe the pattern in the table
Answer:
I feel like its C.
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
because all the a values are 5 more than b
Help please!! I’ll give best answer brainliest!!
Answer:
D, The last one
Step-by-step explanation:
I’m Sorry But here’s An Other One :’)
Answer:
32.34
Step-by-step explanation:
9.35 + 9.35 + 6.82 + 6.82=32.34
Your welcome.
PLAZ HELPPP PWETRYYY PSLOD
Answer:
=
Step-by-step explanation:
whatever comes out of an absolute value is always positive so 8=8
Kate’s father is a baker at the Morning Muffin Bakery. This morning the oven wasn’t working correctly and 2 dozen muffins burned. Kate’s father gave ¼ of what was left to Kate to take to school. He wrapped up ½ of the remaining muffins and sold them to the grocery store down the street. He then wrapped ⅓ of what was remaining and gave them to the coffee shop to sell. That left Kate’s father with a dozen muffins to sell at the bakery. How many muffins did Kate’s dad bake?
Answer:
64
Step-by-step explanation:
Step 1: 12 divided by 3 = 4. 12+4 = 16.
I need to know what ⅓ of 12 is so I can continue the problem without messing up.
Step 2: 16*2 = 32.
Half of however many are left is 16.
Step 3: 32 divided by 4 is 8. 32+8 is 40. Two dozen is 24. 40 + 24 = 64.
Now we know the answer.
Boom.
Need help please help me