Hello!
[tex]\large\boxed{t = -8}[/tex]
We can find the value of t using the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the given slope and coordinates into the appropriate places:
[tex]5 = \frac{2-t}{3-1}[/tex]
Simplify:
[tex]5 = \frac{2-t}{2}[/tex]
Multiply both sides by 2 to begin isolating for t. Simplify and solve for t:
[tex]5 * 2 = 2 - t\\\\10 = 2 - t\\\\8 = -t\\\\t = 8[/tex]
Create a word problem that can be represented by the following system of equations.
X + y = 50
2x + 4y = 120
Answer:
Step-by-step explanation:
You run a train station that sells children tickets for 2 dollars and adult tickets for 4 dollars
The total tickets sold on Saturday was 50
The train station made 120
How many adult tickets and kid tickets did they sell?
(40 kids, 10 adults)
A pen cost $40 and the book cost $10
The word problem that can be represented by the equation is: John bought one pen and one book for $50. He went the next day and bought 2 pens and 4 books for $120.
x + y = 50 ....... i
2x + 4y = 120 .... ii
Let x = pen
Let y = book.
From equation i, x = 50 - y
Since 2x + 4y = 120
2(50 - y) + 4y = 120
100 - 2y + 4y = 120
Collect like terms
-2y + 4y = 120 - 100
2y = 20
y = 10
Therefore, a book cost $10
Since x + y = 50
x + 10 = 50
x = 50 - 10
x = 40
A pen cost $40
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The sales tax is 5 percent what is the tax on an item that cost $24
Answer:
$25.20
Step-by-step explanation:
5% of 24 = 1.20
REASON: .05=5% (5÷100=.05because % means out of 100 or a ÷ sign)
24+1.20= 25.20
The most common IQ tests have a standardized mean of 100 and a standard deviation of 15. Based on this information, use the empirical rule to answer the following question: If approximately 348 prospective college students are tested for their IQ, approximately what percentage of their scores will fall within one standard deviation of the mean
Answer:
Approximately 68% of their scores will fall within one standard deviation of the mean.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
By the Empirical Rule, approximately 68% of their scores will fall within one standard deviation of the mean.
number 5 pls pls pls i need it nowww
Answer:
4.583
Step-by-step explanation:
[tex]\frac{6+8+15+18+18+21+24}{24} \\=110/24\\=4.583[/tex]
A cyclist is riding a bicycle whose wheels have a diameter of 2.1 feet. Suppose the wheels turn at a rate of 260 revolutions per minute. (a) Find the angular speed of the wheels in radians per minute. (b) Find the speed of the cyclist in feet per minute. Do not round any intermediate computations, and round your answer to the nearest whole number.
Answer:
a.1633rad/min
b.1715feet/min
Step-by-step explanation:
We are given that
Diameter of wheel, d=2.1 feet
Radius of wheel, r=[tex]\frac{d}{2}=\frac{2.1}{2}[/tex]feet
Rate=260 rev/min
a. We have to find the angular speed of the wheel in rad/min
1 rev=[tex]2\pi[/tex]radian
Where [tex]\pi=3.14[/tex]
Using the value
Angular speed=[tex]260\times 2\times 3.14/min[/tex]
Angular speed,[tex]\omega=1633rad/min[/tex]
(b)
Speed=[tex]r\omega[/tex]
Using the formula
Speed of the cyclist=[tex]\frac{2.1}{2}\times 1633[/tex]feet/min
Speed of the cyclist=1714.65[tex]\approx 1715[/tex]feet/min
Whats your zodiac sign?
Answer:
cancer the worst
Step-by-step explanation:
232. Сколько решений имеет уравнение | х + 3 | -один?
Answer: уравнение имеет 2 решения:
x₁ = - 4; x₂ = - 2.
Step-by-step explanation:
Ix + 3I = 1
1) x + 3 = 1
x + 3 - 3 = 1 - 3
x = -2
2) - (x + 3) = 1
x + 3 = - 1
x + 3 - 3 = - 1 - 3
x = - 4
A soccer team must raise at least $660 buy new equipment. To reach this goal, each of the 12 soccer players sells tickets
to a game. Tickets cost $2.75 each. The school athletics fund donates an additional $10 per player. The situation is
modeled by the inequality shown,
12(2.75r + 10) 660
How many tickets must each player sell to raise the money?
A at least 19
B at least 17
C at least 16
D at least 20
Answer:
At least 17
Step-by-step explanation:
12(2.75r+ 10)≥ 660
33r+120≥ 660
33r≥ 540
r≥ 16.36
You can't sell 0.36 of a ticket to they need at least 17
Answer the question plz
Answer:
1) A- 95
2) B- 125
Step-by-step explanation:
1) 50 + 35+x = 180
85 +x = 180
x = 180- 85
= 95
2) 70 +80 + 85+d = 360
235 + d = 360
d = 360 - 235 = 125
I Hope im right!
What is 13/20 as a part to part ratio
65%
Convert fraction (ratio) 13 / 20 Answer: 65%
Someone was interested in determining if there is a difference in the proportion of US adults that working hard was the most important thing for a child to learn in 2012 and 2018. They found data on this in the General Social Survey. In 2018, out of 1542 respondents, 415 said it was the most important. In 2012, out of 1323 respondents, 326 said it was the most important. Find the margin of error with 95% confidence.
Answer:
0.01521
Step-by-step explanation:
The Margin of Error for Difference in Proportions is given as:
z × √p1 × (1 - p1)/n1 - p2 × (1 - p2)/n2
z = z score for 95% confidence interval
= 1.96
In 2018, out of 1542 respondents, 415 said it was the most important.
p1 = x1/n1
x1= 326 n1 = 1323
p1 = 326/1323
0.246409675
Approximately = 0.246
In 2012, out of 1323 respondents, 326 said it was the most important.
p2 = x2/n2
x2 = 415, n2 = 1542
p2= 415/1942
p2 = 0.2136972194
Approximately = 0.214
Margin of Error =
1.96 × √0.246× (1 - 0.246)/1323- 0.214 × (1 - 0.214)/1542
1.96 × √0.0005699169 - 0.0005097276
1.96 × √(0.0000601893)
1.96 × 0.0077581763
= 0.0152060256
Approximately = 0.01521
Therefore, Margin of Error = 0.01521
You can use the formula for margin of error for difference in proportion to find the margin of error with 95% confidence.
The margin of error with 95% confidence for the given data is given by
MOE = 0.32
How to calculate margin of error for difference in proportion to find the margin of error ?Suppose we've two samples with sample sizes [tex]n_1[/tex] and [tex]n_2[/tex] respectively. Let the interested quantities found out in those samples out of their sample sizes are [tex]x_1[/tex] and [tex]x_2[/tex] respectively. Then we have the margin of error for difference in proportion to find the margin of error as:
[tex]MOE = Z_{\alpha/2} \times \sqrt{\dfrac{p_1(1-p_1)}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]
where we have:
[tex]p_1 = \dfrac{x_1}{n_1}\\\\p_2 = \dfrac{x_2}{n_2}[/tex]
and
[tex]\alpha = \text{Level of significance}[/tex]
Using the given data to get the margin of error[tex]Year = 2015\\n_1 = 1542\\x_1 = 415\\\\Year = 2012\\n_2 = 1323\\x_2 = 326\\\\\alpha = 100-95\% = 1-0.95 = 0.05[/tex]
For 95% confidence, we have Z score as 1.96
The proportions are calculated as:
[tex]p_1 = \dfrac{415}{1542} = 0.269\\\\p_2 = \dfrac{326}{1323} = 0.246[/tex]
Thus, margin of error is calculated as
[tex]MOE = 1.96 \times \sqrt{\dfrac{0.269 \times 0.731}{1542} + \dfrac{0.246 \times 0.754}{1323}} = 1.96 \times \sqrt{0.000127 + 0.00014}\\\\MOE = 1.96 \times 0.01634 = 0.032[/tex]
The margin of error with 95% confidence for the given data is given by
MOE = 0.32
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Brainliest :)
(Score for Question 3: ___ of 5 points)
(a) Order the popularity of the choices from greatest to least.
(b) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work.
(c) 40 people voted for “Other.” Was the estimate of total voters from Part (b) accurate? Explain.
this is for k12 so click off if u dont have an answer or ill report
Goron should get 98 votes
The question breaks down to taking 35% of 280.
Votes = 35/100 * 280 = people who will vote for Goron
Votes = 9800 / 100 = people who will vote for Goron.
Votes = 98
HELP PLEASE WILL GIVE BRAINLIST
In a box there are 150 beads of red and blue colour. If there are 50 beads of red colour, find the ratio of red beads to blue beads.
Answer:
30 is the ratio
Step-by-step explanation:
-_-
The difference of five times a number and 11 is 39
Answer:
no
Step-by-step explanation:
I mean the point s is hi
Write a division equation that represents the question: how many (3/8)s are in (5/4)
i need answers
Answer:
5/4 ÷ 3/8
Step-by-step explanation:
i am really stuck in this one so help?
Answer: 7
Step-by-step explanation:
15-8 is 7
find the LCD for each set of rational expressions.
x/2x + 16 and -4x/3x - 27
please help!! fast!!
If x is a positive integer, and x = 3y = 6z, what is the value of x + y in terms of z?
F. 3z
G. 5z
H. 8z
J. [tex]\frac{25}{3} z[/tex]
K. [tex]\frac{31}{3}z[/tex]
there are 2918 male workers in a factory. There are 1264 fewer male than female workers. HOW MANY MALE AND FEMALE WORKERS ARE THERE IN THE FACTORY ALTOGETHER?
So you add 2,918+1,264=4,182
Is 18.4 rational or irrational ?
Answer:
It is Rational.
Step-by-step explanation:
Answer:
It 18.4 is rational
Step-by-step explanation:
........
Leon bought 3 slices of pizza for himself and his friends. He spent a total of $7.50. Let p represent the price of one slice of pizza. Write an Algebraic Equation for the situation. Solve the Equation.
Plz do a step by step with the question
this will be for 35 points
Answer:
3p = 7.50 its something like that but hoped this helped
Step-by-step explanation
7.50 divided by 3
2.50
p= 2.50
HELP ITS REALLY URGENT
Answer/Step-by-step explanation:
a. m<h = x°
Two angles to use in finding x are <h and 55°
Angle pair formed: linear pair angles
b. x° + 55° = 180° (linear pair)
Subtract 55° from each side
x + 55 - 55 = 180 - 55
x = 125°
c. Given: m<n = y°
Two angles to use in solving for y are: <h and <n
Angle pair formed: alternate exterior angles
d. m<n = y° (given)
m<n = x° = 125° (as solved in 2b)
Therefore:
y = x (alternate exterior angles are congruent)
thus:
y = 125° (substitution)
Help, ill give brainliest to those who answer first and those who answer accurately
Answer:
d
Step-by-step explanation:
Which expression is equivalent to (8x - 1) (4x + 3) ?
Answer:
A
Step-by-step explanation:
multiplying both the equation
Please help with these questions!!! Having trouble solving them
Answer: 2y/w-3x
That should be correct
One number is six more than five times another number. If the sum of the numbers is 24, find the numbers.
Answer:
x = 21 and y = 3
Step-by-step explanation:
We can write the sentences in math form, using "x" for one of the unknown numbers, and "y" for the other:
One number is six more than five times another number.
x = 5 y + 6
the sum of the numbers is 24
x + y = 24
solve for x in the second equation:
x = 24 - y
Use this to replace x in the first equation:
24 - y = 5 y + 6
add y to both sides
24 = 6 y + 6
subtract 6 from both sides to isolate the term in y
18 = 6 y
divide both sides by 6
y = 3
And now we can find x using:
x = 24 - y = 24 - 3 = 21
Therefore, x = 21 and y = 3
A basketball hoop is 15 feet tall. The angle of elevation to the hoop from Jasmine is 75 degrees. How far away is Jasmine from the base of the basketball hoop (horizontal distance)? Round to the nearest hundredth.
Answer:
75 Feet
Step-by-step explanation:
123
jk
Which inverse operations could you use to solve the equation m/5 - 8 = -6? Select two answers.
A Add 8 to each side and then divide each side by 5
B. Add 8 to each side and then multiply each side by 5
C. Multiply each side by 5 and then add 40 to each side
D. Subtract 8 from each side and then multiply each side by 5
E Multiply each side by 5 and then add 8 to each side
Answer:
B and C seem to be the correct answers!
Hope this helps!
. If you walk around a circular path TWICE, and the circle has a diameter of 100 m, how far did you walk in TOTAL?
The total distance traveled was 638.3m.
How to calculate the distance traveled?To calculate the perimeter of a circle we perform the following operations:
We must keep in mind that the radius of a circle is equal to half the diameter, so the radius of this circle is 100m divided by 2.
100m ÷ 2 = 50mSo the radius of this circle is 50m.
Subsequently, to find the perimeter of the circle we apply the following formula:
2 × π × radius of the circle = perimeter of the circle.2 × 3.14 × 50 = 314.15mAccording to this operation, the distance traveled in one lap would be 314.15m. So in two turns it would be:
314.15m × 2 = 638.3m
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