Answer:
1/2 x -10 ≥ 0
Step-by-step explanation:
We know that a square root must have an answer that is greater that or equal to zero. The result of a square root cannot be negative. What is inside the square root must be greater than or equal to zero. To find the domain we solve that equation to determine the value of x.
1/2 x -10 ≥ 0
A baker uses 5 cups of flour to make 75 cookies. Using this same ratio, how many cups of flour will be needed for 45 cookies? Use the ratio table given to solve the problem.
Answer:
Since, the baker use 5cups for 75cookies.Then for 30 cookies number of cups=
=75/5
=15.
Therefore no. 1cups for 15cookies.so,for 30 cookies=
=15*2
=30.
So, 2cups are needed for 30cookies
PLEASE HELP URGENT!!! 30 POINTS TO WHOEVER ANSWERS BOTH QUESTIONS!!
YOU DO NOT NEED TO SHOW YOUR WORK
The lengths of two sides of a triangle are given: 10 in and 3 in. What is the smallest possible whole number length for the third side?
The lengths of two sides of a triangle are given: 10 in and 3 in. What is the largest possible whole number length for the third side?
How is the graph of the parent quadratic function transformed to produce the graph of y--(2x+6)2+3?
O The graph is compressed horizontally by a factor of 2, shifted left 3 units, reflected over the x-axis, and translated
up 3 units
O The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted left 6 units, and translated
up 3 units
The graph is stretched horizontally by a factor of 2, reflected over the x-axis, shifted left 3 units, and translated up
3 units
O The graph is reflected over the x axis, stretched horizontally by a factor of 2, shifted left 6 units, and translated up
3 units
Answer: a
Step-by-step explanation:
just took the test
Delta makes 12-volt car batteries. These batteries are known to be normally
distributed with a mean of 45 months and a standard deviation of 8 months.
What percent of Delta car batteries last between three and four years?
Answer:
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = 0.5188
The percentage of that Delta car batteries last between three and four years
P(3≤X≤4) = 52%
Step-by-step explanation:
Step(i):-
Given that the sample size n =12 -volt car batteries
Let 'X' be a Random variable in a normal distribution
Given that mean of the normal distribution = 45 months
Given that the Standard deviation of the normal distribution = 8months
Step(ii):-
Let X₁ = 3 years = 12 × 3 = 36 months
[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125[/tex]
Let X₂ = 4 years = 12 × 4 = 48 months
[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375[/tex]
Step(iii):-
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = P(-1.125≤Z≤0.375)
= P(Z≤0.375) - P(Z≤-1.125)
= 0.5 +A(0.375) - (0.5-A(1.125)
= 0.5 + 0.1480 - (0.5 -0.3708)
= 0.1480 + 0.3708
= 0.5188
Final answer:-
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = 0.5188
The percentage of that Delta car batteries last between three and four years
P(3≤X≤4) = 52%
picking more than two fruits
Using the distributive property, what would be the expression (I DONT NEED ANSWER) 1/4(8 + x + 4).
Answer:x/4+3
Step-by-step explanation:
8/1×1/4=8/4=2
X/1×1/4=x/4
4/1×1/4=1
Answer:
2 + [tex]\frac{1}{4} x[/tex] + 1
Step-by-step explanation:
PLEASE HELP
2!/0!=
0
2
undefined
Answer:
2
Step-by-step explanation:
any expression divided by 1 remains the same
you can also calculate the factorial
PLEASE HELP!
I AM IN A HURRY
Answer:
Honestly I have no idea what is going on in this passage or whatever it is.
Step-by-step explanation:
In rectangle ABCD,If EC=13 find BD
Answer:
[tex]BD = 26\\[/tex]
Step-by-step explanation:
Given
[tex]EC = 13[/tex]
Required
Find [tex]BD[/tex]
In the given rectangle.
AC and BD are the diagonals.
This implies that:
[tex]AC = BD[/tex]
AC is calculated as:
[tex]AC = AE + EC[/tex]
Where
[tex]AE = EC[/tex]
So:
[tex]AC = EC + EC[/tex]
[tex]AC = 13+13[/tex]
[tex]AC = 26[/tex]
Recall that: [tex]AC = BD[/tex]
[tex]BD = 26\\[/tex]
Which angle is EDF.
Answer:
d
Step-by-step explanation:
Your marketing team has conducted two focus group sessions to evaluate a new product design. The first focus group consisted of teenagers and resulted in four out of five liking the new product. The second group was made up of parents of young children. Only one out of five people in this group said they liked the same new product as the teens. With 90% confidence (Z = 1.64), can you say that there is a difference between the views of these two populations? Please show your calculations, use 2 decimal places in your calculation answer, and justify your answer regarding differences.
Answer:
Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.
Step-by-step explanation:
1) Formulate the hypotheses:
H0 : p1=p2
Ha: p1 ≠ p2
2) The significance level is chosen at ∝= 0.1
3) The critical region is Z∝/2 ≥ ± 1.645
4) The test statistic under H0 is
Z = p1^- p2^/ √p^q^( 1/n1 + 1/n2)
p1^= proportion of of teenagers liking the new product.
p2^ = proportion of of parents of young children liking the new product.
p1^= 4/5
p2^= 1/5
p^= 5(0.8) + 5(0.2)/5+5= 4+1/10= 0.5
q^= 0.5
Thus
Z= p1^- p2^/ √p^q^( 1/n1 + 1/n2)
z= 0.8-0.2/√0.5*0.5( 1/5 + 1/5)
z= 0.6/ 0.316227
z= 1.897
5) Conclusion:
Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.
Which is bigger a population or a sample?
a - Population
b - Sample
c - They are both the same
What is the volume of water in the trough in cubic feet when the trough is full
Answer is in a photo. I can only upload[tex]^{}[/tex] it to a file hosting service. link below!
bit.[tex]^{}[/tex]ly/3tZxaCQ
If x is an acute angle, and tan x=3/4
evaluate
COS x-sin x/COS x+ sin x
please answer fast 10 points and brainliest answer
Use the pic and solve the COS x-sin x/COS x+ sin x part
comment if there's something u don't understand
The value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
tanx = 3/4 (x is an acute angle)
[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}-1=\dfrac{4}{3}-1\\\\\rm \dfrac{cosx-sinx}{sinx}=\dfrac{1}{3}\\\\[/tex] ….(1)
[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}+1=\dfrac{4}{3}+1\\\\\rm \dfrac{cosx+sinx}{sinx}=\dfrac{7}{3}\\\\[/tex] …(2)
Divide (1) ÷ (2)
(cosx-sinx)/(cosx+sinx) = (1/3)/(7/3) = 1/7
Thus, the value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4
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Complete the square
to find the vertex
of this parabola.
y^2+4x - 2y+21=0
Answer:
::::::::::::::::::::
(-5,1)
The vertex of the parabola represented by the equation y² + 4x - 2y + 21 = 0 is (-5, 1).
The parabola is represented by the equation y² + 4x - 2y + 21 = 0.
Take the coefficient of y, which is -2, divide it by 2, and square the result:
(-2/2)² = 1
Now, we add and subtract this value inside the parentheses to maintain the equation's balance:
y² - 2y + 1 + 4x + 21 - 1 = 0
Rearranging the terms, we have:
(y² - 2y + 1) + 4x + 20 = 0
Now, the terms inside the parentheses can be written as a perfect square:
(y - 1)² + 4x + 20 = 0
Setting (y - 1)² = 0,
(y - 1)² = 0
y - 1 = 0
y = 1
Substitute y = 1 back into the equation to find the x-coordinate of the vertex:
(1 - 1)² + 4x + 20 = 0
0 + 4x + 20 = 0
4x = -20
x = -5
Therefore, the vertex of the parabola is (-5, 1).
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NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
400
Step-by-step explanation:
Please help me with this ASAP ASAP please please help
Answer:
Step-by-step explanation:
Base perimeter: 4 x 2 x π = 8π
LA = 8π x 6 = 48π
Base area = 4^2π = 16π
SA = 16π x 2 + 48π = 80π
V= 16π x 6 = 96π
The mean number of points in 1977 was 1189 points with standard deviation of 397 points. With a roughly normal distribution, what percent of performances would fall between 395 and 1983 points?
Your answer
A. 100%
B. 68%
C. 95%
D.99.7%
Answer:
C. 95%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1189 points, standard deviation of 397 points.
Percentage between 395 and 1983 points?
395 = 1189 - 2*397
1983 = 1189 + 2*397
So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.
$410 is invested in an account earning 4.2% interest (APR), compound quarterly. Write a function showing the value of the account after t years, where the annual growth rate can be found from constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
Cassidy's family built a swimming pool that is
5 meters longer than it is wide. It has an area of
36 square meters. Find the dimensions of the pool
Answer:
Step-by-step explanation:
Answer:
4 meters wide and 9 meters long
Step-by-step explanation:
equation- A=wl=4·9=36
What formula can be used to find circumference? Choose all that apply. *
Cat
2r
nd
2nd
Answer:
circumference =pi ×diameter
OR
pi × radius × 2
Simplify 4x + 3x² + x² - 3x
Answer:
[tex]x + {4x}^{2} [/tex]
Step-by-step explanation:
simplify by combining like terms
4x - 3x = x
[tex]3x ^{2} + {x}^{2} = {4x}^{2} [/tex]
we're left with
[tex]x + {4x}^{2} [/tex]
Answer:
4x²+x
Step-by-step explanation:
4x-3x+3x²+x²
4x minus 3x is x and 3x² +x² is 4x²
therefore,
4x²+x
Quadrilateral ABCD is rotated 90° about the origin. What are the coordinates
of quadrilateral A'B'C'D?
Answer:
Its A
Step-by-step explanation:
Answer:
A'(5,-5) ,B'(1,-5) ,C'(1,-2) ,D'(5,-1)
i will be sooooo thankful if u helped me
Answer:
For 35 its C
Step-by-step explanation:
For the function f(x)=2^x the y intercept is (0,1). What is the y intercept of the function y=a•2^x?
A. (0,1)
B. (0,-a)
C. (0,a)
D. (0, 1/a)
Answer:a
Step-by-step explanation:
find the highest common factor of 12,20 and 28
no links
Answer:
the highest or greatest common factor 12,20,and 28 is 4
Answer:
12, 20, 28.
Step-by-step explanation:
here is the answer
no links
no photos
just a simple answer
have a great day/night
:)
If ∠1 and ∠2 are vertical angles and m∠2 = 108°, find m∠1.
Answer:
angle 1 = 108°
Step-by-step explanation:
because angle 1 and angle 2 are vertical angles and vertical angles are equal.
Gabriella is organizing textbooks on her bookshelf. She has a Spanish textbook, a biology textbook, a history textbook, and a writing textbook. How many different ways can she line the textbooks up on her bookshelf?
Answer:
24
Step-by-step explanation:
We call:
A - Spanish textbook
B - Biology t.b.
C - Histoey t.b.
D - Writing t.b.
U can have:
ABCD
ABDC
ACDB
ACBD
ADBC
ADCB
BACD
BADC
BCDA
BCAD
BDAC
BDCA
etc..
U have 6 for each letter.
6×4=24
Gabriella can line up her textbooks in 24 different ways on her bookshelf.
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
Gabriella has a Spanish book, a biology book, physics book, and a health text book.
We have;
She has a total of 4 books in her book shelf.
So, the number of positions in which the books have to be put are four.
As we can see,
The books are only one in number each. So, the choices are not repeatable.
So, In first position we have four choices, in third we will be left with three choices, in the seconds position we will have a total of two books as choice and in the last positive we have to put the book that is left.
So, the total different ways in which she can line up her books in the bookshelf are,
= 4×3×2×1
= 24
Thus, There are 24 different ways possible.
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The picture shows a carousel. The carousel spins while the horses move up and down. A student determines to
each horse completes one up-down cycle in 30 seconds. The student rides a horse on the carousel for 2 minute
which equals 120 seconds.
raal
Answer:
4 times
Step-by-step explanation:
Note,
60 seconds = 1 minute120 seconds = 2 minutes (60*2).Since the student rode a horse for 120 seconds, to find the number of times the student riding the carousel completed the up-down cycle, we divide it by 30 seconds (which is the duration for the horse to complete one up-down cycle) because the student would be having the same duration as the horse because he was on top the horse.
Hence, we have;
120/30 = 4
Which shape is the base of the pyramid shown below?
A triangle
B square
Answer:
B. it's a square pyramid so the base is a square.
Step-by-step explanation: