Answer:
3 & 5
Step-by-step explanation:
The value of point estimate is 101.5 and value of margin of error is 10.9 gram if the Lindsey purchased a random sample of 25 tomatoes at the farmers market.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
Let's suppose m is a point estimate and ME is the margin of error.
The structure of the confidence interval is:
(m—ME, m + ME)
The given confidence interval is (90.6, 112.4)
Then, m—ME = 90.6 ..... (1)
m + ME = 112.4 ..... (2)
After solving equation (1) and (2) we get:
m = 101.5
ME = 10.9 grams
Thus, the value of point estimate is 101.5 and value of margin of error is 10.9 gram if the Lindsey purchased a random sample of 25 tomatoes at the farmers market.
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17
What is the center and radius of the circle with the equation
2? + y2 - 2x + 4y - 4 = 0?
1) Radius:
Center:
Answer:
[tex] Center = \boxed{1}, \: \boxed{ - 2} \: ; \: Radius = \boxed{3}[/tex]
Step-by-step explanation:
[tex] {x}^{2} + {y}^{2} - 2x + 4y - 4 = 0 \\ \\ ({x}^{2} - 2x + 1 - 1) + ( {y}^{2} + 4y + 4 - 4) - 4 = 0 \\ \\ ( {x}^{2} - 2x + 1) + ( {y}^{2} + 4y + 4) - 9 = 0 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = 9 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = {3}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = - 2 \\ r = 3 \\ \\ center = \boxed{1} \: \boxed{ - 2} \: \: radius = \boxed{3}[/tex]
2/9 of the students in the school are in 6th grade.
a. How many 6th graders are there if the school has 90 students?
b. How many 6th graders are there if the school has 27 students?
c. How many 6th graders are there if the school has x students? Write an
Answer:
a. 20
b. 6
c. y=2/9x
Step-by-step explanation:
Which operation would you use to solve for x in the equation 3x = 15?
O Addition
O Division
O Squaring
O Subtraction
Answer:
division
Step-by-step explanation:
you need to get the x by its self because right now x is being multiplied by 3 tou divide it out
Answer:
Division
Step-by-step explanation:
you will divide both sides by 3..“the number that is disturbing x”
which values are solutions to the inequality below, need explanation to better understand if it can be given.
Answer:
a b and d
Step-by-step explanation:
Area and Perimeter.
Answer:
A = b x h
P = b + b + h + h
A = 84 in
P = 38 in
a= 84
p= 38
Like a neighbor, state farm is there.
Simplify the Multiplication problem below:
3/4 • 2/5=?
Answer:
3/10 or 0.3
Step-by-step explanation:
I need the Area and Perimeter.
Answer:
P = 40 m
A = 100 m²
Step-by-step explanation:
(10√2)² = 200
200/2 = 100
side length = √100 = 10 m
P = 10 x 4 = 40 m
A = 10 x 10 = 100 m²
Help me please please
Answer:
x = 2, use formula of area of triangle by talking x as base and 5 as height.
reposttttttt
Calculate the volume of a prism with a length of 7/8ft, width 2/3 ft and height 1/2 ft. BE SURE TO EXPLAIN ALL STEPS
Answer:
14/48 Feet
Step-by-step explanation:
First, you multiply 7/8x2/3 which equals 14/24, which makes the base of the prisim 14/24 feet. Then you need to multiply 14/24 ( the base) by 1/2 (the height). 14/24x1/2= 14/48.
The final answer is 14/48.
Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00.
Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get 4 dollars and 60 cents + 4 dollars and 60 cents = 9 dollars and 20 cents for the 15% gratuity.”
How should Antoine respond to Tess’s method?
“Tess, the best way to find 15% of $46.00 is to multiply StartFraction 1 over 15 EndFraction by $46.00 to get $3.07, which is the 15% gratuity.”
“Tess, you found 20% of the number because you added 10% and 10%. You need to add 10% to One-half of 10%. Add $4.60 and $2.30 to get $6.90, which is the 15% gratuity.”
“Tess, the best way to find 15% of $46.00 is to multiply 0.015 and 46.00 to get $0.69, which is the 15% gratuity.”
“Tess, you should use a table with 5% segments to find the gratuity. Each 5% segment has a value of $9.20, so that is the 15% gratuity.”
Answer:
How would Antonio respond....she would say "Thanks for the practice ".
Tess is right about it being easy to find 10% of 46 by moving the decimal point 1 place to the left to get 4.60.....but there is no need to do that twice....because if u do 10% twice, ur doing 20%.
okay....once u get 10% of 46 = 4.60....then u figure 5% of 46 = (0.05(46) = 2.30....because 10% + 5% = 15%.....then u add those together.....4.60 + 2.30 = 6.90. This can easily be checked...15% of 46 = 0.15(46) = 6.9 ,just like 10% of 46 + 5% of 46 = 6.9
Answer:
Rergvfgvf
Step-by-step explanation:
PLZ ANSWER FOR TEST
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z
A. 113.5°
B. 47.5°
C. 46.5°
D. 180°
Answer:
C
Step-by-step explanation:
19.9 + 113.6 = 133.5
180-133.5= 46.5
Answer:
[C] 46.5°
Step-by-step explanation:
Given:
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z
Note that:
Triangle = 180 degree
Solution:
Since,
x = 19.9 degree
y = 113.6 degree
then we have:
19.9 + 133.6 + z = 180
133.5 + z = 180
Subtract both sides by 133.5
133.5 - 133.5 = 180 - 133.5
x = 46.5 degree
Hence, the measure of angle z is 46.5
Also means that [C] 46.5 is the correct answer.
Kavinsky
7. One pint is equal to 2 cups. Gavin's
recipe lists a cup of milk. How many
pints of milk is this?
Answer quick PLZZ no website
Answer:
1/2 pint or 0.5 pint
Step-by-step explanation:
1 pint = 2 cups
(1 pint)/2 = 1 cup
1/2 pint = 1 cup
1/2 pint or 0.5 pint
Steve gets paid $50 a week plus $5 for each item he sells. He wants to know how many items he needs to sell, x, to make at least $220 in one
week
Select all the inequalities that represent the situation
HELLPPPPP
Answer:
Steve needs to sell 34 items.
Step-by-step explanation:
S= 5x+50
220=5x+50
-50 -50
170= 5x
/5 /5
34 = x
Check:
220= 5(34)+50
220=170+50
220=220
what is 92.471 to the nearest tenth
Answer:
92.75
Step-by-step explanation:
tenth spot is to right of decimal round up or down depending on the next number
A grocery store clerk put only packages of glazed
donuts and packages of chocolate donuts on a
shelf. The ratio of the number of packages of
chocolate donuts to the total number of packages
on the shelf was 5 to 12. Which number could be
the number of packages of glazed donuts the clerk
put on the shelf?
A. 23 B. 18 C. 14 D. 32
Answer:
c. 14
Step-by-step explanation:
12 - 5 = 7
needs to be a multiple of 7 which 14 is
Does anyone understand this?
Answer:
88
Step-by-step explanation:
11*4 = 44
4*4 = 16
11-4 = 7
7*4 = 28
44+16+28 = 88
Factor x3y6 + 27z42. (xy3 + 3z39)(x2y9 – 3xy3z39 + 9z1,521) (xy3 + 3z39)(x2y6 – 3xy3z39 + 9z78) (x3y6 + 27z42)(x6y12 – 27x3y6z42 + 729z84) (xy2 + 3z14)(x2y4 – 3xy2z14 + 9z28)
Answer:
[tex]x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})[/tex]
Step-by-step explanation:
Given
[tex]x^3y^6 + 27z^{42[/tex]
Required
Factor
Express both terms as a cube
[tex]x^3y^6 + 27z^{42} = (xy^2)^3 + (3z^{14})^3[/tex]
Let
[tex]a =(xy^2)[/tex]
[tex]b = (3z^{14})[/tex]
So:
[tex]x^3y^6 + 27z^{42} = a^3 + b^3[/tex]
Using sum of cubes:
[tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)[/tex]
So:
[tex]x^3y^6 + 27z^{42} = (a + b)(a^2 - ab + b^2)[/tex]
Substitute in, values of a and b
[tex]x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})((xy^2)^2 - (xy^2)*(3z^{14}) + (3z^{14})^2)[/tex]
[tex]x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})[/tex]
Answer:
its d
Step-by-step explanation:
A $60 sweater is on sale for 25% off. There is an additional 10% discount offered if you sign up for a credit card. What is the sale price of the sweater if you sign up for a credit card?
Answer:$39
Step-by-step explanation:
Answer: $39.00 I'm pretty sure
Find the volume of the figure
Answer:
760ft
Step-by-step explanation:
First you find the volume of the rectangle thing :)
so 14 times 19 times 2 = 532ft
than you need to do the triangle so 20 - 14 (for base length) is 6
so 19 times 6 times 2 = 228ft
now you ad them, so 532 + 228 = 760
A new color of green requires 5 yellow to 4 parts blue. If the paint mixer used 30 gallons of yellow, how many gallons of blue were needed
Answer:
24 gallons of blue
Step-by-step explanation:
The number of gallons of blue color needed is for the mixer in which 30 gallons of yellow used, 24
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
A new color of green requires 5 yellow to 4 parts blue
The paint mixer used 30 gallons of yellow
The number of gallons of blue color needed = ?
Ratio of yellow to blue in mixture = 5/4
So, if 30 gallons of yellow is used
then gallons of blue = ?
Suppose, gallons of blue = x
5/4 = 30/x
x = 24
Hence, the gallons of blue is 24
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Write an exponential decay model for each situation. The value of x for each value of f(x) will lie between two consecutive whole numbers. List the whole numbers.
initial value: 1,800
decay rate: 7%
f(x) = 400
Answer:
The numbers are;
20 and 21
Step-by-step explanation:
A general form of an exponential decay model can be presented as follows;
f(x) = a·(1 + r)ˣ
Where;
f(x) = The output for a given input variable, 'x'
x = The input variable
a = The initial value
r = The growth (+ve) or decay (-ve) rate
When f(x) = 400, a = 1,800, r = -7% = -0.07, we get;
400 = 1,800 × (1 - 0.07)ˣ
(1 - 0.07)ˣ = 400/1,800 = 2/9
ln((1 - 0.07)ˣ) = ln(2/9)
x = ln(2/9)/(ln(1 - 0.07)) ≈ 20.73
The value of 'x' lies between 20 and 21.
The radius of a regular hexagon is 8 cm.
Find the apothem, perimeter and area
of the regular hexagon.
Answer:
We have,
side= a
= 8 cm
We know that the area of the regular hexagon
[tex] = \frac{3 \sqrt{3} }{2} {a}^{3} [/tex]
[tex] = \frac{3 \sqrt{3} }{2} {8}^{2} [/tex]
[tex] = \frac{3 \sqrt{3} }{2} \times 64[/tex]
[tex] = 96 \sqrt{3} \: \: {cm}^{2} [/tex]
Step-by-step explanation:
Hope it is helpful...
Polynomial Multiplication: Please HELP ITS FOR MATH!!!!
Answer:
Step-by-step explanation:
1. Monomial times Monomial
2. Binomial times Binomial
3. Binomial times Trinomial
4. Monomial times Trinomial
5. Binomial times Monomial
Answer: (The first number will be for the side on the left and the second will be for the on the right it matches with) (1, 3) (2, 1) (3, 5) (4,2) (5, 4)
Step-by-step explanation:
The nomial number(prefix) is determined by how many terms are in a parentheses. For example, The first one (3z) (9z) has one term bc 3z is one tern and 9z is one term so they are both monomials but b-1 would be a binomial because it has two terms so knowing that should explain my answers
7/2 = x/11 does anyone know the answer?
Step-by-step explanation:
[tex] \frac{7}{2} = \frac{x}{11} \\ 2x = 77 \\ x = \frac{77}{2} \\ x = 38.5[/tex]
3(2x – 1) is 15 more than 8 what is the value of x?
1. Distribute or open parenthesis
= 6x-3
15+8= 23
2. Solve
6x-3 = 23
Subtract 3 on both sides
6x= 20
Divide both side by 6
x= 20/6
x= 3.333 or 3 1/3
Find the area of a pizza with radius 4 inches.
Answer:
50.24
Step-by-step explanation:
4x4x3.14
(4 because of the radius)
(3.14 because of pi)
WHOEVER ANSWERS I WILL MARK BRAINLIEST
Answer:
B
Step-by-step explanation:
Prime Factorization involves breaking down a number into prime numbers (aka numbers that can only be divided by itself and 1)
36
9 x 4
(3x3) x (2x2)
Hope that helps!
Lets multiply all the choices so we can see if it all multiplied is 36.
A) 2 • 2 • 2 • 3
4 • 2 • 3
8 • 3
24
B) 2 • 2 • 3 • 3
4 • 3 • 3
12 • 3
36
C) 2 • 3 • 3 • 3
6 • 3 • 3
18 • 3
53
D) 1 • 2 • 2 • 3
2 • 2 • 3
4 • 3
12
The answer is B! I hope this helps.
what is the greatest common factor of the polynomials: 35x^4+10x^3+25x^2
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
5x^2
Step-by-step explanation:
35x^4 + 10x^3 + 25x^2 =
Break up each term into a product of all its prime factors.
= 5 * 7 * x * x * x * x + 2 * 5 * x * x * x + 5 * 5 * x * x
Now see which factors are in common to all terms.
GCF = 5x^2
A math club has 40 members. The number of girls is 3 times the number of boys.
a. Write the system of equations that represents this situation. Use the variables g and b to
represent girls and boys.
How do you solve this problem I don’t understand word problem
Answer:
10
Step-by-step explanation:
Answer:
*i think* 10 boys and 30 girls
Step-by-step explanation:
this is because there are already 10 means, and if you multiply 10 by 3, you get 30
10+30=40
lmk if you have questions!
but if you want the equations then
b + b X 3=40
i think this is what your teacher means
Solve for the values of z
z(z-6)=0
Answer:
D. z=6
Step-by-step explanation: