Answer:
is closer to the club José
is looking for a common denominator
Juan 5/6 = 10/12
Pedro 2/3 = 8/12
Luis 1/2 = 6/12
José 11/12
the largest is chosen
Jeremy is conducting a survey about his coworkers’ in-office water consumption to encourage management to install more water dispensers at their location. He found that the population mean is 112.5 ounces with a standard deviation of 37.5. Jeremy has a sample size of 96. Complete the equation that Jeremy can use to find the interval in which he can be 99.7% sure that the sample mean will lie. 37.5 112.5 75 96 150 9.8
Using the z-distribution, as we have the standard deviation for the population, it is found that the 99.7% confidence interval is given by:
[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.99.7% confidence level, hence[tex]\alpha = 0.997[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.997}{2} = 0.9985[/tex], so [tex]z = 3[/tex].
The other parameters are:
[tex]\mu = 112.5, \sigma = 37.5, n = 96[/tex]
Hence, the interval is:
[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]
To learn more about the z-distribution, you can check https://brainly.com/question/25890103
Using the box method solve (x-4)(5x+3
Answer:
= X(5x+3)-4(5x+3)
= 5x²+ 3x- 20x-12
= 5x²-17x-12
Answer:
5x(squared)-17x-20
Step-by-step explanation:
I dd the assignment and I didn't get the right answer, the correct answer was 3/4
Can you guys help me understand where does 3/4 come from
Answer:
Step-by-step explanation:
The 2 figures are similar so corresponding sides are in the same ratio.
The factor is the value that you have to multiply a side in the first rectangle to get the corresponding side in the second rectangle.
12 ----> 9
So:
12 * f = 9 where f is the factor
f = 9/12 = 3/4.
2(x-7)<-12
Help!! I need this for my math
Answer:
x < 1
Step-by-step explanation:
2(x-7)<-12
Divide by 2
2(x-7)/2<-12/2
x-7 < -6
Add 7 to each side
x-7+7 < -6+7
x < 1
-8(-2 1/3)-(2(4) to the power of 2
Answer:
-13.333
Step-by-step explanation:
This is the answer to:
-8(-2 1/3)-(2(4) to the power of 2
Hope this helps!
Sum of three consecutive multiples of 6 is 648. One of these multiple is
Answer:
Let two consecutive multiples of 3 be x and (x+3)
A/q,
x * (x+3) = 648
➡ x² + 3x = 648
➡ x² + 3x -648 = 0
➡ x² + 27x - 24x -648 = 0
➡ x ( x + 27 ) -24 ( x +27)
➡ ( x - 24) ( x + 27)
➡ x = 24 and x = -27
so, we take x = 24.
Required multiples of 3
➡ x = 24
➡ x +3 = 24+3 = 27.
Answer:
The three consecutive multiples are 210, 216, 222
Step-by-step explanation:
3 consecutive multiples of 6 be : 6n , 6n + 6 , 6n + 12
Given sum of these 3 numbers is = 648
That is ,
6n + 6n + 6 + 6n + 12 = 648
18 n + 18 = 648
18n = 648 - 18
18 n = 630
n = 35
Therefore the three consecutive multiples are :
6 x 35 , 6 x 35 + 6, 6 x 35 + 12
210 , 210 + 6 , 210 + 12
210 , 216, 222
Which equation could be represented by the number line?
A. 3+ (-4) = -1
B. -3 + 4 = 1
C. 1 + (-5) = -4
D. -4 + 5 = 1
9514 1404 393
Answer:
A. 3+ (-4) = -1
Step-by-step explanation:
The arrow indicates a subtraction of 4, or an addition of -4. The only equation containing such a subtraction or addition is choice A.
Tim wants to determine the height, x, of a nearby tree. He stands 35 feet
from the base of the tree. The measure of the angle of elevation from Tim to the top of the
tree is 40 degrees
Answer:
x ≈ 29.4 ft
Step-by-step explanation:
The model is a right triangle.
Using the tangent ratio
tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{35}[/tex] ( multiply both sides by 35 )
35 × tan40° = x , then
x ≈ 29.4 ft ( to 1 dec. place )
Go step by step to reduce the radical.
V216
Answer:
[tex]6\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{216}[/tex]
factorise 216
[tex]\sqrt{2*2*2*3*3*3}[/tex]
since it is square root (meaning it has index to) pair up the number
[tex]2*3\sqrt{2*3[/tex]
[tex]6\sqrt{6}[/tex]
What is the equation of the line that
contains the points (0, 5) and (3, 7)?
Answer:
y -y1=y2-y1/x2-x1(x-x1)
7 times 8 help pls I am sorry for a wasteful
Answer:
56
Step-by-step explanation:
Think of it this way, 7 times 10 is 70.
7*8 is 2 less 7s, or 14 less.
70-14=56
Or, a simpler way:
7*7 is 49(perfect square)
One more seven than that is 56.
These are just two ways I quikcly remember, because for some reason I struggle with 7 and 8 mulitplication.
Hope this helps!
Answer:
56Step-by-step explanation:
according to the multiplication table
7 times 8'gives 56
2 x10^14/8x10^9
How do you solve
Answer:
Step-by-step explanation:
[tex]\frac{2*10^{14}}{8*10^{9}}=\frac{1}{4}*10^{14-9}=\frac{1}{4}*10^{5}\\\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\[/tex]
In exponent division , if bases are same, then find the difference of the exponents
Each lap around the track at Lincoln Community Center is 400 meters long. Levi ran a total of 1,600 meters as a warm-up before his workout. Let w be the number of laps Levi ran around the track as a warm-up. Write and solve an equation to find w.
Answer:
Step-by-step explanation:
The solution is 4 laps
The number of laps ran by Levi is given by the equation w = 4 laps
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of laps ran by Levi be represented as w
Now , the equation will be
The total length of a lap = 400 m
The total length ran by Levi = 1600 m
So ,
The number of laps w ran by Levi = total length ran by Levi / total length of a lap
Substituting the values in the equation , we get
The number of laps ran by Levi w = 1600 / 400
On simplifying the equation , we get
The number of laps ran by Levi w = 4 laps
Therefore , the value of w is 4 laps
Hence , the number of laps is 4 laps
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please help If 25% of some number is 40, then what is 75% of that number?
Answer:
120
Step-by-step explanation:
25 X 3 = 75% 40 X 3 = 120
The 75 percent of the number whose 35% is 40 is evaluated being equal to 120
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
Suppose the number we're taking about be 'x'.
Then, as stated in the question, we get:
25% of x = 40
or
[tex]\dfrac{x}{100} \times 25 = 40\\{x} \times \dfrac{25}{100} = 40\\\\x \times \dfrac{1}{4} = 40\\\\\text{Multiplying 4 on both the sides, we get:}\\\\x = 160[/tex]
Now, we've found the number. It is 160. Its 75% is evaluated as:
[tex]\dfrac{x}{100} \times 75 = \dfrac{160}{100}\times 75 = \dfrac{160 \times 3}{4} = 120[/tex]
Thus, the 75 percent of the number whose 35% is 40 is evaluated being equal to 120
Learn more about percent here:
https://brainly.com/question/11549320
Find the area of a circle with radius, r = 6.5m . Give your answer rounded to 2 DP
Answer:
A ≈ 132.73 m²
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
r = 6.5 m
Step 2: Find Area
Substitute in variables [Area of a Circle Formula]: A = (3.14)(6.5 m)²Evaluate exponents: A = (3.14)(42.25 m²)Multiply: A = 132.732 m²Round: A ≈ 132.73 m²Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
someone please help
Answer:
z = 12
All values greater than 12
Step-by-step explanation:
Question 1:
Solve for z on 25z = 300
300 / 25 =
(100/25) * 3 =
4 * 3 = 12
Question 2:
25z > 300
All values greater than 12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A landscaper is selecting two trees to plant. He has five to choose from. Three of the five are deciduous and two are evergreen.
What is the probability that he chooses trees of two different types? Express your answer as a percent.
30%
40%
50%
60%
Answer:
The probability that he chooses trees of two different types is 30%.
Step-by-step explanation:
Given that a landscaper is selecting two trees to plant, and he has five to choose from, of which three of the five are deciduous and two are evergreen, to determine what is the probability that he chooses trees of two different types must be performed the following calculation:
3/5 x 2/4 = 0.3
2/5 x 3/4 = 0.3
Therefore, the probability that he chooses trees of two different types is 30%.
Answer:
Actually the right answer is 60%! Not 30 %! (つД｀)･ﾟ･
Step-by-step explanation:
Find the area of the regular pentagon.
Answer: 172.05
Hope this helps
2. From the adjoining Venn-diagram, find the cardinal numbers of the following sets. a) n (U) b) n (A) c) n (B) d) n (AUB) e) n ( AB) f) n (AUB) g) n (A) h) n (B) i) n. (A)
30 points + Brainliest!! Urgent!!
Find the slope of the line.
Answer:
Slope=-1.4
Step-by-step explanation:
Slope= Rise/Run, basically calculate how much higher up and further out the first plot is from the second one! So start at the first plot, go down 7 to get to the same level as the bottom one. SO your first number is -7. Next, go over 5 to reach the same point where the second point is. Your second number is 5. So the slope is -7/5, or -1.4
Hope this helps:)
Answer:
-7/5
Step-by-step explanation:
We need to take the two points and use the slope formula
( -2,4) and (3,-3)
m = (y2-y1)/(x2-x1)
= (-3-4)/(3- -2)
= (-3-4)/(3+2)
=-7/5
Factor the expression. b2 + 7b − 18
How do I do this? I’m not sure can anyone help?
value of x= 7√3
Hope it helps you...
Which is the graph of y-3=-2/3(x+6)
Answer:
I dont know what graph it requires to because u didnt show any graphs :)).....is there anything else I could help u with?
Step-by-step explanation:
Explain how to determine the long term (end) behavior of the following two polynomials:
cubic polynomial with negative leading coefficient like y=-2x^3+3x^2+x+1;
quartic polynomial with positive leading coefficient like y=5x^4+3x^2+4x+9.
Answer:
6, -5 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.
A rope is 9 1/2 meters long. How many pieces can be cut from the rope if
each piece is to be 1/4 meter?
When solving the equation x2 – 8x - 7 = 0 by completing the square, which equation
is a step in the process?
Lets Solve
[tex] \\ \rm \longmapsto \: {x}^{2} - 8x - 7 = 0 \\ \\ \rm \longmapsto \: {x}^{2} - 8 {}^{}x = 7 \\ \\ \rm \longmapsto \: 4( {x}^{2} - 8x) = 4 \times 7 \\ \\ \rm \longmapsto \: {4x}^{2} - 32x = 28 \\ \\ \rm \longmapsto \: {(2x)}^{2} - 2 \times 2x \times 8 = 28 \\ \\ \rm \longmapsto \: (2x) {}^{2} - 2 \times 2x \times 8 + {8}^{2} = 28 + {8}^{2} \\ \\ \rm \longmapsto \: {(2x - 8)}^{2} = 64 + 28 \\ \\ \rm \longmapsto \: {(2x - 8)}^{2} = 92 \\ \\ \rm \longmapsto \: 2x - 8 = \underline{ + }9.3 \\ \\ \rm \longmapsto \:2x = 8 + 9.3 \: or \: 8 - 9.3 \\ \\ \rm \longmapsto \:2x = 17.3 \:or \: - 1.3 \\ \\ \rm \longmapsto \:2x = 17.3 \\ \\ \rm \longmapsto \:x = \frac{17.3}{2} \\ \\ \rm \longmapsto x = \:8.6[/tex]
Ignore negative valueFind the slope that passes through 9,7 and 2,4
Answer:
slope is 3/7
Step-by-step explanation:
use the formula y2 - y1 / x2 - x1
How many solutions does the system of equations have? Pls help :(
Given the system of equations below:
[tex] \large{ \begin{cases} y = 2x + 1 \\ - 4x + 2y = 2 \end{cases}}[/tex]
The first equation is y-isolated so we can substitute in the second equation.
[tex] \large{ - 4x + 2(2x + 1) = 2}[/tex]
Use the distribution property to expand in and simplify.
[tex] \large{ - 4x + 4x + 2 = 2} \\ \large{0 + 2 = 2 \longrightarrow 2 = 2}[/tex]
The another method is to divide the second equation by 2.
[tex] \large{ \frac{ - 4x}{2} + \frac{2y}{2} = \frac{2}{2} } \\ \large{ - 2x + y = 1}[/tex]
Arrange in the form of y = mx+b.
[tex] \large{y = 1 + 2x \longrightarrow y = 2x + 1}[/tex]
When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.
For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.
Answer
Infinitely ManyHope this helps. Let me know if you have any doubts!
Use substitution to solve the
following system of equations.
-2x + 4y = -18 AND x = y + 3
Answer:
x = -3 ; y = -6
Step-by-step explanation:
x = y + 3
-2x + 4y = -18
-2(y+3) + 4y = -18
-2y -6 + 4y = -18
2y = -12
y = -6
x = -6+3
x = -3
Answer:
x = -3 y = -6
Step-by-step explanation:
x = y + 3
x - 3 = y
-2x + 4(x - 3) = -18
-2x + 4x - 12 = -18
2x = -6
x = -3
x = y + 3
-3 = y + 3
-6 = y
