Answers
Answer:
3
Step-by-step explanation:
Given a line with points; (2, 5) (3, 8).
1. Find the slope of the given line
The formula for finding the slope is:
[tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]
Substitute in the values;
[tex]x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8[/tex]
[tex]\frac{8-5}{3-2}[/tex]
simplify;
[tex]\frac{3}{1}[/tex]
= 3
2. Find the slope of the parallel line;
Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.
Related Questions
There are 40 students in a class.
Each student walks to school or cycles to school or gets the bus to school
There are 22 girls in the class.
9 of the girls walk to school.
7 of the boys cycle to school.
6 of the 10 students who get the bus to school are boys.
Find the number of these students who walk to school.
Answers
Step-by-step explanation:
Total no. of students = 40
Total no. of girls = 22
Total no. of boys = 40 - 22 = 18
No. of girls walking to school = 9
No. of girls who cycle to school = 22 - 9
No. of boys who cycle to school = 7
No. of students who take the bus = 10
(6 boys and 4 girls)
No. of boys who walk to school = 18 - (7 + 6) = 5
Total no. of students who walk to school = 9 + 5 = 14
The number of students who walked to school was 14 students
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 ,
The equations will be ,
Let the total number of students in the class be A = 40 students
The number of girls in the class = 22 students
The number of boys in class = total number of students - number of girls
= 40 - 22
= 18 students
Now ,
The number of girls who walked to school = 9 students
The number of boys who cycled to school = 7
So , remaining boys = 18 - 7
= 11 students
The number of boys who take bus to school = 6 students
So , remaining boys = 11 - 6
= 5 students
Therefore , the remaining boys in the class walks to school = 5 students
So , the equation will be
And , the total number of students who walked to school =
number of boys in the class that walks to school + number of girls who walked to school
Total number of students who walked to school = 9 + 5
= 14 students
Hence , The number of students who walked to school was 14 students
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These two polygons are similar
y = [?]
Answers
Answer:
w = 9
x = 12
y = 5
z = 3
Step-by-step explanation:
The corresponding sides of similar polygons are proportional.
Therefore:
[tex] \frac{w}{3} = \frac{x}{4} = \frac{15}{y} = \frac{9}{z} = \frac{6}{2} [/tex]
Solve for each variable as follows:
✔️[tex] \frac{w}{3} = \frac{6}{2} [/tex]
Multiply both sides by 3
[tex] w = \frac{6}{2} \times 3 [/tex]
[tex] w = 3 \times 3 [/tex]
[tex] w = 9 [/tex]
✔️[tex] \frac{x}{4} = \frac{6}{2} [/tex]
Multiply both sides by 4
[tex] x = \frac{6}{2} \times 4 [/tex]
[tex] x = 3 \times 4 [/tex]
[tex] x = 12 [/tex]
✔️[tex] \frac{15}{y} = \frac{6}{2} [/tex]
Cross multiply
[tex] y \times 6 = 2 \times 15 [/tex]
[tex] 6y = 30 [/tex]
Divide both sides by 6
[tex] y = 5 [/tex]
✔️[tex] \frac{9}{z} = \frac{6}{2} [/tex]
Cross multiply
[tex] z \times 6 = 2 \times 9 [/tex]
[tex] 6z = 18 [/tex]
Divide both sides by 6
[tex] z = 3 [/tex]
A data set is Normally distributed with a mean of 750 and a standard deviation of 55. What is the value of a data element that has a z-value of 0.05? Give your answer to two decimal places.
752.75 IS THE CORRECT ANSWER
Answers
Answer:
752.75 is correct
ED2021
Segment CD has point E located on it such that CE:ED = 3:5. If the endpoints are located at C(5, -6) and D(11,18) then what are the coordinates of E ?
Answers
Answer:
E(29/4,3)
Step-by-step explanation:
Given that,
Segment CD has point E located on it such that CE:ED = 3:5
The coordinates of C and D are (5, -6) and (11,18) respectively.
We need to find the coordinates of E. Let the coordinates are (x,y). Using section formula to find it as follows :
[tex](x,y)=(\dfrac{m_1x_2+m_2x_1}{m_1+m_2},\dfrac{m_1y_2+m_2y_1}{m_1+m_2})\\\\(x,y)=(\dfrac{3(11)+5(5)}{3+5},\dfrac{3(18)+5(-6)}{3+5})\\\\=\dfrac{29}{4},3[/tex]
So, the coordinates of E are (29/4,3).
If there are 7 girls and 8 boys on the school’s track team, what is the ratio of girls to boys? how would I answer in three different ways.
Answers
Answer:
7:8
7 to 8
7/8
Step-by-step explanation:
Answer:
49:56
7/8
.875
Step-by-step explanation:
Here's 3 different ways
Who’s feeling the makeup look? cause i am!
Answers
Answer:
not me because its not my color
On the basis of a survey of 545 television viewers, a statistician has constructed a confidence interval and estimated that the proportion of people who watched the season premiere of Glee is between .16 and .24. What level of confidence did the statistician use in constructing this interval?
Answers
Answer:
0.98 also 98%
Step-by-step explanation:
In this question we have the Lower limit to be 0.16
We have the Upper limit to be 0.24
Such that (0.16+0.24)/2 = 0.40/2 = 0.20
Standard deviation= √(0.2x0.8/545) this gives 0.017134
Next we get margin of error
Margin of error = 0.24-0.20 = 0.04
Z multiplied by sd =0.04
Such that
Z = 0.04/0.017134 =2.33
On this z score, the Corresponding level of confidence is 0.98
Which is 98%
Please solve: y = 2x + 5... X = 2
Answers
Answer:
2,9 or y=9
Step-by-step explanation:
So since x=2, plug it in the equation.
y=2(2)+5
y=9
In a coordinate, it would be 2,9
Answer: y = 9
Step-by-step explanation: Substitute the value of x, which is 2, into the equation. 2 multiplied by 2 equals 4, and 5 plus 4 equals 9, thus y equals 9
What expression can be used to add 7/10 + 13/20
Answers
what is the answer to the question expression 42+3.5h factored
Answers
Answer:
7/2(12+h)
Step-by-step explanation:
The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.
Here, we have,
given that,
the expression 42+3.5h
we have to find the factored form.
From the given information:
The expression 42 + 3.5h is factored out by taking the coefficient of the variable term is 3.5
So factoring 3.5 from the expression 42 + 3.5h, we get:
= 3.5 ( 12 + h)
= 7/2 ( 12 + h)
Hence, The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.
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Charmaine runs 4 miles in 30 minutes. At the same rate how many minutes would she take to run 10 minutes
Answers
Answer:
It will take her 75 minutes To run 10 miles.
Step-by-step explanation:
I believe to run 10 miles (not minutes)
30/4= 7.5 minute per mile
7.5*10= 75 minutes
Answer:
10x0.133=1.33 so approximately 1.3 miles
Step-by-step explanation:
Charmaine runs 0.133 miles per minute
If you have a math equation with an addition symbol in the middle (such as -8 + 4), what are the rules for determining whether to add or subtract?
Answers
Answer:
-8+4=-4
Step-by-step explanation:
Rearrabge the equation to bcm 4-8
This will make it simpler to give us the answer as -4
The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unknown population mean. If a random sample of 22 departments is taken and results in a sample mean of 1460 employees, find the error bound (EBM) of the confidence interval with a 80% confidence level.
Answers
Answer:
EBM = +-54.126
Step-by-step explanation:
In this question we have confidence interval to be 80%
The formula to solve this is in the attachment.
Bar X = 1460
Z-alpha/2 = 1.282
Sd = standard deviation = 198 employees
n = 22 departments
After we have inserted all values in to the formula we have:
1460 +-(1.282*198/√22)
= 1460+-(54.12604)
= (1405.87, 1514.126)
The error bounded mean EBM
= +-z-alpha/2 x (sd/√n)
= 1.282 x 198/√22
= 1.282 x 42.22
EBM = +-54.126
help pls
2 1
_ + _ =
6 3
Answers
Answer: 21, 21
Step-by-step explanation: 21 × 3 = 63, so 21 + 21 + 21 is 63.
Answer:21,21
Step-by-step explanation:
21 × 3 = 63, so 21 + 21 + 21 is 63.
A right-angled triangle has one side of length 1.5 cm. Its hypotenuse is 6 cm. How long is its other side?
Answers
Answer:
about 5.8cm
Step-by-step explanation:
(-2.4) - 0.8 times -4.3
Answers
Answer is this:
1.04
three consecutive terms in a geometric sequence are r ,r+4, and r+6 in that order. Determine the value of r.
Answers
9514 1404 393
Answer:
r = -8
Step-by-step explanation:
The terms of a geometric sequence have a common ratio, so we have ...
[tex]\dfrac{r+4}{r}=\dfrac{r+6}{r+4}\\\\1+\dfrac{4}{r}=1+\dfrac{2}{r+4}\\\\4(r+4)=2(r)\qquad\text{subtract 1, cross multiply}\\\\2r=-16\qquad\text{subtract $2r+16$}\\\\\boxed{r=-8}\qquad\text{divide by $2$}[/tex]
_____
Then the terms of the sequence are ...
-8, -4, -2, ...
and the common ratio is 1/2.
Answer: r = -8
Step-by-step explanation:
6
Given the table below, tell the domain and range.
ON
x
y
0
-1
2
0
4.
1
6
Answers
Ok, this one is really easy your domain is all the x values and the range is all of the y values.
Thus, here is your answer...
Domain → { -2, -1, 0, 1 }
Range → { 0, 2, 4, 6 }
To paint, a House, a painting company charges a flat rate of $400 for supplies, plus 60$ for each hour of labor. Write an equation for this situation.
Answers
60 is the slope because they get payed $60 hourly, so the money is constantly increasing. 400 would be the y-intercept because it’s a constant. It doesn’t increase, it stays the same.
(Giving brainliest!!)
How would the decimal point move to solve the equation 124 ÷ 101 = ________?
A) 1 place to the left
B) 1 place to the right
C) 2 places to the left
D) 2 places to the right
Answers
Answer:
1 place to the right
Step-by-step explanation:
hope it help
4. Savannah earns $247.00. How many
hours did she work?
2
Answers
Answer:
we need to know how much she earns per hour
Step-by-step explanation:
Solve for h.
-18 + h = 28
Answers
+18. +18
—————-
h= 46
Answer:
h=46
Step-by-step explanation:
Add 18 to both sides
30% of the cars in a parking lot are green. If there 21 green cars, how many cars are parked in the parking lot?
Answers
Answer:
70 cars
Step-by-step explanation:
Let x cars are parked in the parking lot.
[tex]30\% \: of \: x = 21 \\ \\ \frac{30}{100} \times x = 21 \\ \\ x = 21 \times \frac{100}{30} \\ \\ x = \frac{2100}{30} \\ \\ x = 70 \: [/tex]
70 cars are parked in the parking lot.
solve with steps please?
Answers
Answer:
Step-by-step explanation:
m∠1 = x
m∠2 = 3x
m∠3 = ( [tex]\frac{1}{3}[/tex] )(3x) = x
x + 3x +x = 180°
x = 36°
m∠1 = 36°
m∠2 = 108°
m∠3 = 36°
Mark up is 40% and the cost to store is 162 dollars what is the selling price
Answers
Answer:
$64.8
Step-by-step explanation:
hihihihihihihihihihihihihi
Please give the right answer
Answers
Answer:
Just do 180-48!!
The answer is 132 degrees
Step-by-step explanation:
Can anyone find the simplest radical form
Answers
Answer:
C.) [tex]55[/tex]
Step-by-step explanation:
Simplify the expression by finding the square root of 25:
[tex]\sqrt{x} =x*x\\\\\sqrt{25} =5*5\\\\11*5=55[/tex]
The answer is 55
:Done
Please answer number 4 please!
Answers
Hope this helps.
I believe the answer is A.
A police radar gun is used to measure the speeds of cars on a highway. The speeds of cars are normally distributed with a mean of 55 mi/hr and a standard deviation of 5 mi/hr. Roughly what proportion of cars are driving between 60 and 70 mi/hr? Round to the nearest thousandth) Group of answer choices
Answers
Answer:
Approximately [tex]0.157[/tex].
Step-by-step explanation:
Let [tex]X[/tex] denote the speed of a car. The question is asking for [tex]P(60 \le X \le 70)[/tex].
That probability is equal to [tex]P(X \le 70)- P(X \le 60)[/tex].
Find each of [tex]P(X \le 60)[/tex] and [tex]P(X \le 70)[/tex] using a [tex]Z[/tex]-table.
Calculate the [tex]Z[/tex] value for [tex]x = 70[/tex] and [tex]x = 60[/tex]:
At [tex]x = 70[/tex], [tex]\displaystyle z = \frac{x - \mu}{\sigma} = \frac{60 - 55}{5} = 3[/tex].
At [tex]x = 60[/tex], [tex]\displaystyle z = \frac{x - \mu}{\sigma} = \frac{70 - 55}{5} = 1[/tex].
In other words: [tex]P(X \le 70) = P(Z \le 3)[/tex] whereas [tex]P(X \le 60) = P(Z \le 1)[/tex].
Look up [tex]P(Z \le 3)[/tex] and [tex]P(Z \le 1)[/tex] on a [tex]Z[/tex]-table. The question is asking that the answer be rounded to the nearest thousandth. Therefore, keep at least more decimal places than that in intermediate values.
[tex]P(Z \le 3) \approx 0.9987[/tex] and [tex]P(Z \le 1) \approx 0.8413[/tex].
Therefore:
[tex]\begin{aligned}P(60 \le X \le 70) &= P(X \le 70)- P(X \le 60) \\ &= P(Z \le 3) - P(Z \le 1) \approx 0.157\end{aligned}[/tex].
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!
Answers
Answer:
are the answers actual people or loyalist and patriots