Based on experience, Farmer Fern knows that 15% of her eggs will be damaged in
route to the stores. In a sample of 100 eggs, what is the probability that less than
13% will be damaged?
Answer: 0.2877
Step-by-step explanation:
Given : The proportion of eggs will be damaged in route to the stores = 15% = 0.15
Sample size = 100
Let p be the probability of her eggs will be damaged.
The probability that less than 13% will be damaged is given by :-
[tex]P(p<0.13)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}<\dfrac{0.13-0.15}{\sqrt{\dfrac{0.15\times(1-0.15)}{100}}})[/tex]
[tex]=P(z<-0.56)[/tex]
[tex]=1-P(z<0.56)\\\\= 1-0.7123\\\\= 0.2877[/tex]
Hence, the required probability = 0.2877
1. It took Lucy two hours to read the first 108 pages of a book. She read the last 48 pages in 75 minutes. What was Lucy’s average reading rate for the entire book in pages per hour?
Answer:
I have the same question
Step-by-step explanation:
Whats the ratio of 40 to 30 I need help
Answer:
Answer: 75%
Step-by-step explanation:
14. Solve and check the solution .2x + 1/3 =
4/3*
O X = 1/3
O X = 1/2
[tex]2x + \frac{1}{3} = \frac{4}{3} [/tex]
[tex]2x = \frac{4}{3} - \frac{1}{3} [/tex]
[tex]2x = \frac{3}{3} [/tex]
[tex]2x = 1[/tex]
[tex]\color{hotpink}x = \frac{1}{2} [/tex]
Therefore , the correct option is :-
[tex]\color{yellow}\mapsto\color{teal}x =\color{magenta} \frac{1}{2} [/tex]
Express each ratio as a fraction in the simplest form. 12 pennies to 24 pennies
Answer: 1:2
Step-by-step explanation:
24 ÷ 12 = 2
12 ÷ 12 = 1
Answer to the question is 1:2
Can you use the same multiplication fact to find 4x60 and 3x80
Answer:
Yes you can
Step-by-step explanation:
If the sum of three consecutive numbers is 852, what is the middle one?
Divide the total by the quantity of numbers:
852/3 = 284
Because there are an odd quantity of numbers (3) the answer is the middle number.
The answer is 284
A student uses the following steps to prove the sine sum identity. The proof is incorrect. Which steps is incorrect
Answer:
4
Step-by-step explanation:
The incorrect step is Step 4, cos (π/2 -x) cos(-y) + sin (π/2 -x)sin(-y), the correct option is C.
What is Trigonometric Identity?Trigonometric Identities are based on the trigonometric ratios used to solve Trigonometric equations.
The steps used to solve the trigonometric identity are :
Step 1 : sin(x+y)
Step 2: cos ((π/2) - (x+y))
Step 3 : cos ( (π/2 -x) -y)
Step 4 : cos (π/2 -x) cosy + sin (π/2 -x)siny
Step 5: sinxcosy+cosxsiny
Therefore,the correct step is cos (π/2 -x) cosy + sin (π/2 -x)siny and not cos (π/2 -x) cos(-y) + sin (π/2 -x)sin(-y) , the incorrect step is Step 4.
The complete question is attached with the answer.
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not sure need help
Answer:
8.2
Step-by-step explanation:
3) If CDEF ≅ MNPQ, then de ≅ _____
A. MN
B. NQ
C. NP
D. PQ
Answer:
c. NP
Step-by-step explanation:
NP is in the same position as DE (the middle)
need help plz can someone please help
Answer:
D
Step-by-step explanation:
Answer:
d. 40
Step-by-step explanation:
all real numbers between −14 and 14 inclusive
Answer:
-13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
Answer:
-14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
Manuel has 5/8 of a pizza to share equally with his brother. What fraction of the original pizza will each person receive?
Answer:
1¼
Step-by-step explanation:
⅝ ÷½
=⅝ײ/1
=⁵/4
=1¼
Whenever you divide two fractions you rewrite it switching the division sign for multiplication and writing the reciprocal of the second fraction.
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
5/8 of the pizza is equally shared between two people.
The fraction of the original pizza that each person receives is 5/16 of the pizza.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Amount of pizza = 5/8
Equally shared between two people:
= 5/8 ÷ 2
= 5/(8x2)
= 5/16
This means that the fraction of the original pizza that each person receives is 5/16 of the pizza.
Thus,
5/8 of the pizza is equally shared between two people.
The fraction of the original pizza that each person receives is 5/16 of the pizza.
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A circle’s circumference is 600 m. What is the circle’s area?
a
36,000.17 m^2
b
180,067.87 m^2
c
57,275.17 m^2
d
300,000 m^2
Need this answer asap or My Moms going to KILL me
Answer:
A-36,000.17m^2
Step-by-step explanation:
given that g(x)= -(x-1)^3 , write an expression for h(x) in terms of x
Answer:h(x) =-(x+5)^3
Step-by-step explanation:
Can someone help me ASAP
Answer:
the y intercept is -4 and the slope is 1
Step-by-step explanation:
Drag each description to the correct location on the table. Each description can be used more than once.
Classify each polynomial based on its degree and number of terms.
Polynomial
Name Using Degree
Name Using Number of Terms
5x - 8x
-6- X + 34²
-0.7*²
trinomial
binomial
trinomial
linear
monomial
cubic
quartic
quadratic
quartic
quintic
Answer:
Cubic-binomial
Quintic-trinomial
Quartic-monomial
Linear-binomial
Quadratic-monomial
Step-by-step explanation:they all in order
The answers are follows:
5x²-8x Cubic binomial
-6-x^5 - 3x² Quintic trinomial
1/3 x^4 Quartic monomial
-0.7x² Quadratic monomial
What is Polynomial?Polynomials are sums of terms of the form k⋅ xⁿ, where k is any number and n is a positive integer.
According to the table:
5x²-8x Cubic binomial
-6-x^5 - 3x² Quintic trinomial
1/3 x^4 Quartic monomial
-0.7x² Quadratic monomial
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Marissa spent $56 at the flea market. She spent 1/4 of her money for
lunch. How much did Marissa spend on lunch?
Answer:
she spent $14
Step-by-step explanation:
1/4=0.25
0.25 x 56= 14
Martel sold 7 cups of lemonade at his lemonade stand. How many fluid ounces did he sell?
Answer: Your answer is 56 fluid ounces
Step-by-step explanation: 1 cup (in the us) is equivalent to 8 fluid ounces (in the us) and 8 times 7 is 56!
Hope this helps, if not, comment below please!!!
Answer:
56 fluid ounces
Step-by-step explanation:
One cup has 8 fluid ounces and one fluid ounce is 0.13 cups.
cup * 8 = fl-oz
The square root of 144
Answer:
12
Step-by-step explanation:
Kelly bought a pen for $2.50, a pencil for $0.36, a notebook for $3.75, and a highlighter for $1.99. She used a coupon for 10% off. How much did she spend in total?
5. What is the quotient if you divide 9/12 - 1/6
54 hope it helps 54 that what is gave it to me
A submarine descends to a depth of 600 feet below the surface in 10 minutes. At this rate, what integer represents the change, in feet, of the submarine's position after one minute?
I really need help.
A submarine descends to a depth of 600 feet below the surface in 10 minutes. At this rate, what integer represents the change, in feet, of the submarine's position after one minute?
First you need to list what you're given.
A submarine descends to a depth of 600 ft below the surface in 10 minutes. The question is asking for the change of the submarine's position after one minute. This can be represented as fractions in terms of [tex]\frac{distance}{time}[/tex].
[tex]\frac{600}{10} = \frac{x}{1}[/tex]
You're looking for the value of x. First you need to cross-multiply.
[tex]600 \times 1 = 10 \times x\\600=10x[/tex]
Since you're looking for x alone, you need to divide both sides by 10. This will eliminate the 10 since x is being multiplied by 10, and 10 divided by 10 is 1, making it 1x or x.
[tex]\frac{600}{10} = \frac{10x}{10}[/tex]
[tex]60=x[/tex]
That means the submarine is descending at a rate of 60 feet per minute, which can be represented as -60.
If you're looking for the submarine's position after one minute, all you have to do is subtract 60.
600 feet below surface is represented as -600.
[tex]-600-60=-660[/tex]
The submarine's position after one minute is 660 feet below surface(-660).
A tennis racket is normally priced at 90.00 is on for 30% off. What is an expression for the sale price of the racket,
Answer:
90×0.7
Step-by-step explanation:
I think this is the correct answer.
100-30=70
70=0.7
Which is not a a equivalent Ratio?
a) 6:15
b) 2 :5
c) 12 : 25
d) 40:100
Answer:
A
Step-by-step explanation:
how to write five hundred eight thousand in standard and expanded form?
Answer: Standard form would be 508,000 and Expanded form would be 500,000 + 8,000
Step-by-step explanation:
Find the value of the missing angles ?
Help please for question
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen.
Write an equation that gives the amount of snow that has fallen after x hours at this rate.
Answer:
y = 2x
Step-by-step explanation:
y-int = 0
slope = 2
I need help please!!!!
Evaluate [4+(15+3)÷9]×7
Answer:
Evaluate [4+(15+3)÷9]×7 equals 42
Step-by-step explanation: