Answer:
43
Step-by-step explanation:
The formula for Margin of Error =
Margin of Error = z × standard deviation/√n
Margin of Error= ± 6
z = z score of 95% Confidence Interval is 1.96
s = 20
n = sample size
±6 = 1.96 × 20/√n
Cross Multiply
±6 × √n = 1.96 × 20
±6 × √n = 39.2
Divide both sides by ±7
√n = 39.2/±6
√n = 6.5333333333
Square both sides
n = 6.5333333333²
n= 42.684444444
Rounding up to the nearest integer = 43
There are 6 triangles and 2 circles. What is the simplest ratio of circles to triangles?
Answer:
6:2
Step-by-step explanation:
This simply means for every 6 triangles there are going to be 2 circles, so if you had 12 triangles there would be 4 circles.
So think of it kinda like:
6 triangles = 2 circles and so on.
Answer:
1:3
Step-by-step explanation:
Since the question says ratio of circles to triangles , we will arrange the answer in that order
So,
2:6
Breaking it down,
1:3
What value of x makes the following equation true?
15+3x=3(2−2x)
Answer:
[tex]\boxed {x = -1}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]15 + 3x = 3(2 - 2x)[/tex]
-Use Distributive Property:
[tex]15 + 3x = 3(2 - 2x)[/tex]
[tex]15 + 3x = 6 - 6x[/tex]
-Take [tex]6x[/tex] and add it to [tex]3x[/tex]:
[tex]15 + 3x + 6x = 6 + 6x - 6x[/tex]
[tex]15 + 9x = 6[/tex]
-Subtract both sides by [tex]15[/tex]:
[tex]15 - 15 + 9x = 6 - 15[/tex]
[tex]9x = -9[/tex]
-Divide both sides by [tex]9[/tex]:
[tex]\frac{9x}{9} = \frac{-9}{9}[/tex]
[tex]\boxed {x = -1}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]-1[/tex].
Devra soled the
inequality, and she says that x= -10 is a solution
Lavan says that a negative value of r does not make
sense in the context of the problem. He says that
x=1 is a solution Who is correct? Explain
Answer:
What’s the problem? If you could attach the problem we can help u out!
Step-by-step explanation:
A ladder is 2 metres long. It leans against a wall
so the base is 86 cm from the wall.
a Write 86 cm in metres.
b How far up the wall does the ladder reach?
Step-by-step explanation:
jsjsjskksksndkdkkdkf
Find the angle measures.
Justify your responses.
Given: a ||b, m∠6=128°
Find: m∠1, m∠3
Answer:
Step-by-step explanation:
It's given that a║b and m∠6 = 128°
Since, ∠1 and ∠3 are the consecutive interior angles,
m∠6 + m∠1 = 180°
128° + m∠1 = 180°
m∠1 = 180° - 128°
= 52°
Since, ∠6 and ∠3 are the corresponding angles,
Therefore, ∠6 ≅ ∠3
m∠3=52°
In PE class, 2 teams are formed for a game of tug of war. Team A can pull with 200 lbs. of force. Team B can pull with 160 pounds of force and has room for 1 more player. What is the minimum amount the fourth player will need to pull in order for Team B to win? *
A. x ≥ 40
B. x > 40
C. x ≥ 100
D. x > 100
PLEASE HELP FAST!!!!!!!!
Answer:
B. x more than 40
Step-by-step explanation:
If you would like to win the tug of war game, you would have to apply a more greater force to win. If Team B needed to win, over 40 lbs. of force would do.
Which operation should be performed on both sides of this equation to solve for x?
x+4=6
add 4
add the opposite of 4
multiply by the reciprocal of 4
multiply by the opposite reciprocal of 4
What is the first step equation=6x – 4x + 3 = 15
A.
Add 4x to both sides of the equation.
B.
Subtract 4x to both sides of the equation.
C.
Combined the variable terms on the left side of the equation.
D.
Combine the constant terms on the right side of the equation.
Two-thirds of the fruit in a basket are apples. One-fourth of the apples are green apples. What fraction of the fruit in the basket are green apples?
Answer:
1/6
Step-by-step explanation:
2/3*1/4
=2/12
=1/6
PLS GIVE BRAINLIEST
Complete the ordered pair for 4x - 5y = 23
Answer:
none of these
Step-by-step explanation:
There are 8 classroom in a particolar
School. The number of student in each classroom
range from 25 to 30, what is the total number
of student in the School?
Answer:
25 times 8 kid its easy then do the answer is greater than or equal to x
Step-by-step explanation:
what are the slopes the these graphs ? PLEASE ANSWER
Answer:
9. -3/4
10. -5/1
11. UNDEFINED
12. 2/3
Answer:
9. -3/4
10. -5
11. undefined
12. 2/3
Step-by-step explanation:
I need HELP, I'm just a dumb kid from Minnesota, I have no clue what to do...The line below has a slope of 2. Both points are on the same line. Find the values of a and b
Answer:
The values of [tex]a[/tex] and [tex]b[/tex] are 6 and 4, respectively.
Step-by-step explanation:
Geometrically speaking, any line is represented by equation of the form:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
In addition, the slope is defined in terms of distinct known points. That is:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (2)
If we know that [tex](x_{1},y_{1})=(4,b)[/tex], [tex](x_{2}, y_{2}) = (a, 8)[/tex] and [tex]m = 2[/tex], then the slope is:
[tex]\frac{8-b}{a-4} = 2[/tex]
[tex]8-b = 2\cdot (a-4)[/tex]
[tex]8-b = 2\cdot a -8[/tex]
[tex]b = 16-2\cdot a[/tex]
There is more than one option. If we assume that [tex]a = 6[/tex], then [tex]b[/tex] is:
[tex]b = 16-2\cdot (6)[/tex]
[tex]b = 4[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] are 6 and 4, respectively.
Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed. How many students said they feel more focused after exercising? 380 570 760 930
Answer:
760
Step-by-step explanation:
Answer:
760
Step-by-step explanation:
If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.
Answer:
[tex]Perimeter = 38.6[/tex]
Step-by-step explanation:
Given
[tex]A\ B = 13[/tex]
[tex]B\ F = 9[/tex]
[tex]F\ C = 5.6[/tex]
Required
Calculate the perimeter of A B C
To calculate the perimeter of A B C, we sum up the sides of the triangle
i.e.
[tex]Perimeter = A B + B\ C + A\ C[/tex]
AB is given in the question already.
So, we need to calculate B F and F C
To solve for BF, we consider triangle B F C
Using Pythagoras Theorem, we have:
[tex]B\ C^2 = B\ F^2 + F\ C^2[/tex]
Substitute values for BF and FC;
[tex]B\ C^2 = 9^2 + 5.6^2[/tex]
[tex]B\ C^2 = 81 + 31.36[/tex]
[tex]B\ C^2 = 112.36[/tex]
[tex]B\ C^2= \sqrt{112.36[/tex]
[tex]B\ C = 10.6[/tex]
Next, we calculate A C.
To calculate A C, we need to calculate A F, considering triangle B F A
Using Pythagoras Theorem, we have:
[tex]A\ B^2 = B\ F^2 + A\ F^2[/tex]
Substitute values for B F and A B;
[tex]13^2 = 9^2 + A\ F^2[/tex]
[tex]169= 81 + A\ F^2[/tex]
[tex]A\ F^2 = 169 - 81[/tex]
[tex]A\ F^2 = 88[/tex]
[tex]A\ F = \sqrt{88[/tex]
[tex]A\ F = 9.4[/tex]
Since F lies on line A C:
[tex]A\ C = A\ F + F\ C[/tex]
[tex]A\ C = 9.4 + 5.6[/tex]
[tex]A\ C = 15.0[/tex]
Recall that:
[tex]Perimeter = A\ B + B\ C + A\ C[/tex]
[tex]Perimeter = 13 + 10.6 + 15.0[/tex]
[tex]Perimeter = 38.6[/tex]
Hence, the perimeter is 38.6
Given that P is the orthocenter of triangle ABC, applying the properties of an orthocenter of a triangle and the Pythagorean Theorem, each measure and the perimeter of △ABC are:
AB = 13BC = 10.6AC = 15Perimeter = 38.6Recall:
An altitude is the line that connects the vertex of a triangle to the opposite side of which it is perpendicular to that side.Orthocenter is the point where all three altitudes intersect each other.Given that P is the orthocenter of triangle ABC, where,
AB = 13BF = 9FC = 5.6Perimeter of △ABC = AB + BC + AC
First, we need to find BC and AC.
△BFC is a right triangle, apply Pythagorean theorem to find BC:
[tex]BC = \sqrt{BF^2 + FC^2}[/tex]
Substitute[tex]BC = \sqrt{9^2 + 5.6^2}\\\\\mathbf{BC = 10.6}[/tex]
△BFA is a right triangle, apply Pythagorean theorem to find FA:
[tex]FA = \sqrt{AB^2 - BF^2}[/tex]
Substitute[tex]FA = \sqrt{13^2 - 9^2}\\\\\mathbf{FA = 9.4}[/tex]
AC = FA + FC
SubstituteAC = 9.4 + 5.6
AC = 15
Perimeter of △ABC = AB + BC + AC
SubstitutePerimeter of △ABC = 13 + 10.6 + 15
Perimeter of △ABC = 38.6 units
Therefore, given that P is the orthocenter of triangle ABC, applying the properties of an orthocenter of a triangle and the Pythagorean Theorem, each measure and the perimeter of △ABC are:
AB = 13BC = 10.6AC = 15Perimeter = 38.6Learn more here:
https://brainly.com/question/2515607
Can you solve this please
Answer:
( 5 × 9 ) + (5 × 4 )
Step-by-step explanation:
Who Said It?
Read the statements below. Write Lifa Loyalist said it, or Pif
a Patriot said it.
1. "England has supported this colony since the beginning. Some of these
colonists are not grateful for that, but Icertainly am!
2 'I believe in this battle for independence, and am willing to fight for it!"
3 "I hope the British troops overwhelm this local untrained militia.'
4
'I was born in England and remain loyal to her."
5. *It's time to take a stand. We will no longer pay those taxes imposed on the
colonies!"
6. 'Losing Savannah and Augusta to the British is a bad blow but we must
continue to fight!
Answer:
are the answers actual people or loyalist and patriots
You could produce a pair of like terms with opposite coefficients by multiplying the first equation by what number?
Answer:
6
Step-by-step explanation:
just did on edge
Answer:
C. 6
Add
-2,-4
YOUR WELCOME ;)
Step-by-step explanation:
EDGE2021
Marlene made a table to relate the number of T-shirts to the total cost. How can
you tell from the table that the relationship is not proportional?
Number of T-shirt
1
2
3
4
A
The number of T-shirts increases in intervals of one.
B
The rule of multiplying by 8 works for all but 4 T-shirts.
C
The number of T-shirts increases by a different amount than the total cost does.
D
All of the numbers of T-shirts can be multiplied by the same amount to get the cost.
Answer:
The Correct answer would be B.
The rule of multiplying by 8 works for all but 4 T-shirts
Step-by-step explanation:
Answer: B) The rule of multiplying by 8 works for all but 4 T-shirts.
Step-by-step explanation:
Got ir right on Time4Learning
Last week, Kira drove 291 miles. This week, she drove n miles. Using n, write an expression for the total number of miles she drove in the two weeks.
Answer:
d = 291 + n
Step-by-step explanation:
Given that,
Last week, Kira drove 291 miles. Then this week she drove n miles.
We need to find an expression for the total number of miles she drove in the two weeks. It can be calculate by adding distance force 2 weeks. So,
d = 291 + n
Hence, this is the required solution.
Answer the following question. 5 A computer program now has 813,000,000 million users How is this number written in scientific notation? A 8.13 x 10 B 8.13* 10' C 8.13* 10" D 8.13* 10 C A Ов Ос OD
I need help which is it (A) (B) (C) or (D)
Answer:
The answer is A
Step-by-step explanation:
p=3y/q solve for y make sure to add steps pls
Answer:
Solving for y gives:
[tex]y = \frac{pq}{3}[/tex]
Step-by-step explanation:
Linear equations are the equations that are degree one equations. When it is asked to solve an equation for a specific variable that means that the specified variable has to be isolated on one side of the equation i.e. in the given question solving for y means isolating y on one side of the equation.
Given equation is:
[tex]p = \frac{3y}{q}[/tex]
Multiplication property of equality(Multiplying both sides by q)
[tex]p*q = \frac{3y}{q} * q\\pq = 3y[/tex]
Division property of equality(Dividing both sides by 3)
[tex]\frac{pq}{3} = \frac{3y}{3}\\\frac{pq}{3} = y[/tex]
Hence,
Solving for y gives:
[tex]y = \frac{pq}{3}[/tex]
Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69, 65. 87.
What is the mean height of Bella's corn stalks?
A 69 cm
B. 75 cm
C. 78 cm
D. 80 cm
E. 81 cm
Answer:
d
Step-by-step explanation:
.................have a great day
Point P′(–6, –4) is the image of point P(–2, 3) under a translation. What is the image of (5, –1) under the same translation?
Answer:
(1,-8)
Step-by-step explanation:
(-2,3) T<-4,-7> = (-6.-4)
(5,-1) T<-4,-7> = (1,-8)
Drag each tile to the correct box. Not all tiles will be used.
Consider the following function.
f(x)=2x+5
Place the steps for finding f -1(x) in the correct order.
I NEED THIS 50 POINTS!!!
Answer:
y = 2x +5
X=2y + 5
X-5 =2y
X-5 / 2 = y
f-1 (x) = x-5/2
Step-by-step explanation:
Answer
This is correct for sure
Step-by-step explanation:
4. If f(x) = 5X + 8, g(x) = 7X -2 Find (f - g)(x)
Answer:
-2x+10
Step-by-step explanation:
f(x)=5x+8
g(x)=7x-2
(f-g)(x)= 5x+8-7x+2= -2x+10
NEED HELP PLEASE!!!!
Answer:x=35
Step-by-step explanation:
Factor and find the zeros. z^2-z+56
Answer:
Sry its long but if your to lazy to look thru it here is the answer= z = {-7, 8}
Step-by-step explanation:
Simplifying
z2 + -1z + -56 = 0
Reorder the terms:
-56 + -1z + z2 = 0
Solving:
-56 + -1z + z2 = 0
Solving for variable 'z'.
Factor a trinomial.
(-7 + -1z)(8 + -1z) = 0
Subproblem 1
Set the factor '(-7 + -1z)' equal to zero and attempt to solve:
Simplifying:
-7 + -1z = 0
Solving:
-7 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1z = 0 + 7
Combine like terms: -7 + 7 = 0
0 + -1z = 0 + 7
-1z = 0 + 7
Combine like terms: 0 + 7 = 7
-1z = 7
Divide each side by '-1'.
z = -7
Simplifying:
z = -7
Subproblem 2
Set the factor '(8 + -1z)' equal to zero and attempt to solve:
Simplifying:
8 + -1z = 0
Solving:
8 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -1z = 0 + -8
Combine like terms: 8 + -8 = 0
0 + -1z = 0 + -8
-1z = 0 + -8
Combine like terms: 0 + -8 = -8
-1z = -8
Divide each side by '-1'.
z = 8
Simplifying:
z = 8
Solution
z = {-7, 8}
U A cube is a rectangular prism whose edge lengths are all the same.
What is the volume of a cube with an edge length of 2 feet? Circle
the letter of the correct answer.
A 4 cubic feet
B 6 cubic feet
C 8 cubic feet
D 12 cubic feet
Danny chose B as the correct answer. How did he get that answer?
Jenny enjoys crocheting so she has decided to make and sell crocheted hats and crocheted scarves to make money for a trip she would like to take this coming summer. She is going to sell her scarves for $5 each and her hats for $10 each. In order to go on the trip, Jenny needs to make at least $200.
Answer:
Step-by-step explanation:
so the whole question is as follows