Answer:
y= [tex]\frac{3}{5}x[/tex] [tex]-\frac{26}{5}[/tex]
Step-by-step explanation:
x₁ y₁ m= slope
(2, -4) point-slope equation: y - y₁ = m( x - x₁)
y-(-4) = [tex]\frac{3}{5}[/tex]( x - 2)
y + 4 = [tex]\frac{3}{5} x[/tex] - [tex]\frac{6}{5}[/tex]
y = [tex]\frac{3}{5}x[/tex] - [tex]\frac{6}{5}[/tex] - [tex]\frac{20}{5}[/tex]
y = [tex]\frac{3}{5} x[/tex] - [tex]\frac{26}{5}[/tex]
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 21 fts. The ball's height h (in feet) after seconds is given by the following.
Answer:
h(t)=
h(t)=vt-21t+2
Step-by-step explanation:
initial height =2
initial velocity=21ft/s
dh/dt=v
dh=vdt
intergrating both sides
h(t)-h(i)=vt-v(i)t
h(t)-2=vt-21t
h(t)=vt-21t+2
Put some air in your tires: Let X represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of X is as follows.
x 0 1 2 3 4
Px 0.2 0.1 0.4 0.2 0.1
Compute the standard deviation σX. Round the answer to at least three decimal places.
Step-by-step explanation:
sorry po hindi ko po alam sagot
Problem 5 Statement: 1. Andre received and spent money in the following ways last month. For each example write a positive or negative number to represent the change in money from his perspective. a. His uncle gave him $25 as a present. b. He earned $18 dollars tutoring. c. He spent $10 on a book. 2. What does 0 mean in this situation?
Answer:
$48
Step-by-step explanation:
Marcus has a bag of 10
red chips, 15 blue chips,
and 5 black chips. How
many times would he
expect to pick a red chip if
he did the experiment 60
times?
A) 10
B) 20
C) 30
D) 45
PLEASE HELP THIS IS DUE TODAY
Answer:
B
Step-by-step explanation:
Marcus can expect to have red chip 20 times.
What is probability?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
Given that, Marcus has a bag of 10 red chips, 15 blue chips, and 5 black chips.
He did an experiment 60 times and we need to find that how many times would he expect to pick a red chip,
So,
Here the favorable outcomes = red chips (10)
Total outcomes = all the chips = 15+5+10 = 20
So, the probability of finding a red chips for the 60 times = 10/20 x 60
= 30
Hence, Marcus can expect to have red chip 20 times.
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4x + y=22
y=x-3
Need fast help plz
Answer:
x=5
Step-by-step explanation:
4x+(x-3)=22
5x-3=22
+3 +3
5x=25
/5 /5
x=5
Mrs. Stancil is planning to use
wrapping paper to cover a gift box that is the
shape of a rectangular prism with dimensions of
3ft by 4ft by 5ft. If the wrapping paper costs
S0.05 per square foot, how much will it cost?
Answer:
4.70
Step-by-step explanation:
there are 6 sides on a box
2 sides are 12 square feet (3*4), 2 sides are 15 square ft (3*5), and 2 sides are 20 square ft (4*5)
12*2+15*2+20*2=24+30+40=94 square feet
if each square foot costs $0.05 (I think that's what it says) then you would do 94*0.05= $4.70
so, your answer is $4.70
Not sure if this is right, but I tried
A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Answer:
Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.
A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $2 discount on 5 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 5 weekday period jumps to 35.
Required:
What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?
Answer:
0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6.
This means that [tex]\mu = 30, \sigma = 6[/tex]
5 consecutive weekdays.
This means that [tex]n = 5, s = \frac{6}{\sqrt{5}} = 2.6832[/tex]
What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?
This is 1 subtracted by the pvalue of Z when X = 35.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{35 - 30}{2.6832}[/tex]
[tex]Z = 1.86[/tex]
[tex]Z = 1.86[/tex] has a pvalue of 0.9686
1 - 0.9686 = 0.0314
0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount
Find: AABCD in square unit.
Answer:
in triangle ACD
<D =<B=90° inscribed angle from the diameter is 90°
base AC=2×OA=2×15=30unit
perpendicular =CD=12unit
area of triangle ACD
=1/2 base×perpendicular=1/2×30×12=180unit²
In triangle ABC
base=AC=30 unit
perpendicular=BC=18unit
area of traingle ABC =
1/2 base×perpendicular=1/2×30×18=270unit²
Area of quadrilateral =area of traingle [ABC+ACD]
=180+270=450 square unit ans..
Select the graph that represents the given set. (Click on the graph until the correct one is showing.)
E = {(6, 2), (7, 3), (6, -1), (5, 4)}
Answer:
Hi! The answer is in the pic below!!
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
1. a. The equation of a straight line is 2y = 3x +4,
Find the gradient of this line,
Answer:
3/2
Step-by-step explanation:
2y = 3x + 4
y = (3/2)x + 2
^ ^ ^ ^
y = m x + c
m = 3/2
what is the answer to this?
Answer:
i can only say that you should use this forumla, the sins law
sin(a)/A = sin(b)/B = sin(c)/C
Step-by-step explanation:
Choose the amount of money that is equal to 1 dollar 1 nickel
Pls Help me
Answer: 4 quarters and 1 Nickel not sure if thats the question :/
Step-by-step explanation:
One dollar and one nickel are equal to $1.05.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
1 dollar = 100 cents
one nickel = 5 cents
So,
1 nickel = $0.05
Thus,
One dollar and one nickel are equal to $1.05.
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Ina class of 44 pupil 3/4 are girls . How many girls would be there altogether.
Answer:
33 girls
Step-by-step explanation:
This is the answer because:
1) 3/4 of 44 is 33 because 1/2 of 44 is 11
a) 11 x 3 = 33
Hope this helps! :)
Answer:
33 girls
Step-by-step explanation:
44/4= 11
11x3=33
plz mark me as brainliest.
4. Find the greatest number which divides 171 and 251 leaving the remainders
3 and 6 respectively.
Answer:
The answer is 7.
Mr. Dimaggio is making his famous pasta sauce. He uses 8 cups of tomatoes to make 2 quarts of sauce. How many cups of tomatoes will he need to make 12 quarts of the sauce?
____________ = ______________
Please help me!!!!!!!!!
Answer:
48 cups of sauce
Step-by-step explanation:
You would do 6*8 because 6*2 is 12 and you need 12 quarts of sauce
Hope that helped
please tell me please
Answer:
17/20
Step-by-step explanation:
85
Simplify by dividing by 5 -> 85/100 = 17/20
Answer:
a) 17/20
Step-by-step explanation:
as shaded blocks are 85 and total blocks are 100
so ,
85/100 = 17/20
happy to help :)
Elizabeth made a scale drawling of a city of Colorado. The scale of the drawling is 1inch=4 yards.an open space is 17 inches in the drawling. How wide is the actual open space.
Answer:
B
Step-by-step explanation:
Jrkrkr
15.) Solve this division problem. Write your answer as a mixed number.
Answer:
3 3/4
Step-by-step explanation:
i looked it up with https://www.calculator.net/fraction-calculator.html
. An oil refnery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refnery to storage tanks located on the south bank of the river 6 km east of the refnery. The cost of laying pipe is $400,000ykm over land to a point P on the north bank and $800,000ykm under the river to the tanks. To minimize the cost of the pipeline, where should P be located
Answer:
The point P should be located at 0,51 Km from point B, to minimize costs
Step-by-step explanation:
The oil refinery ( point A ) the opposite point ( B) in the south bank, and the storage tank (point C) these three points shape a right triangle. Let´s call x the distance between point A and point P ( the arriving point of the pipeline in the south bank ) then:
Cost = cost of pipeline in-ground* ( 6 - x ) + cost of pipeline in water* L
where L is the hypothenuse of the right triangle ( A , B , P )
Cost ($) = 400000 * ( 6 - x ) + 800000 * √ 2² + x²
C (x) = 400000* ( 6 - x ) + 800000* √4 + x²
C(x) = 2400000 - 400000*x + 800000* √4 + x²
Tacking derivatives on both sides of the equation
C´(x) = - 400000 + 800000* ( 2x)/√4 + x²
C´(x) = 0 - 400000 + 1600000*x / √4 + x² = 0
- 400000* (√4 + x² ) + 1600000*x = 0
- (√4 + x² ) + 4* x = 0
- (√4 + x² ) = - 4*x
Squaring both sides
4 + x² = 16*x²
15*x² = 4
x² = 4/ 15
x = ± √0,27
x = ± 0,51
We should dismiss the negative solution
x = 0,51 Km
The point P should be located at 0,51 Km from point B
is 3m, 4m, 5m a right triangle YES OR NO
Is 14m, 48m, 50m a right triangle YES OR NO
HURRY
Answer:
I thing they both are........
Place the following objects in order from greatest to least gravitational force. Explain your answer.
*Earth
*DISCOVER satellite
*Sun
*Moon
well when thinking of gravity you have to think of the size and mass of the object so,
The sun (largest and most mass)
Earth
Earth's moon
Discover satellite (cause it's tiny and light compared to the sun!)
Simplify 45÷3[90÷45{6+3(19-16)}]
Step-by-step explanation:
45÷3[90÷45{6+3(19-16)}]45÷3[90÷45{6+3(3)}]45÷3[90÷45{6+9}]45÷3[90÷45{15}]45÷3 [90÷675][tex]\frac{\cancel{45}^\ {15}}{\cancel3} * \frac{6}{45}[/tex][tex] \cancel{15} × \frac{6}{\cancel{45}^\ {3}}[/tex]6/32[tex]\\\\\\[/tex]
The equation of [tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex] is 165.
What is PEMDAS rule?
PEMDAS exists as an acronym for the terms parenthesis, exponents, multiplication, division, addition, and subtraction.
How to simplify the equation of [tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex]?Given:
[tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex]
45/3 = 15
Simplifying the given equation, we get
[tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]=15\left[\frac{90}{45}+3(19-16)\right][/tex]
90 / 45 = 2
By simplifying the above equation, then we get
= 15[2 + 3(19 -16)]
By using the PEMDAS rule
15[2 + 3(19 -16)] = 11
[tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]= 15*11[/tex]
= 165
Therefore, the equation of [tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex] is 165.
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ASAP Point A, located at (-3, -3) is translated 6 units up, resulting in the location of point A'. What other transformation would result in the same location for point A'? A reflection in the x-axis A translation of 6 units to the left A reflection in the y-axis A rotation of 180°
~I KNOW ITS NOT A REFLECTION IN THE Y-AXIS
Answer:
(3,3)
Step-by-step explanation:
A reflection of this across the y-axis is (-3,3). A reflection of Point A, (-3,-3), over the x-axis is also (-3,3).
Which trigonometric function is an odd function and why?
Answer:
Last one D.
Step-by-step explanation:
Just remember x, f(–x) = –f(x).
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
You ask the students in class two questions. Which question is statistical and which is non-statistical? Explain.
What time does the first period begin?
What time do you leave home to go to school?
Answer:
the first is non-statistical and the second one is statistical
Step-by-step explanation:
when it is statistical it is asking in general (like a yes or no question) and when it's non-statistical it is asking something specific.
Simplify the following expression. x(x - 3) - 4(x2 + 7)
Answer:
[tex]x^{2} -11x-28[/tex]
Step-by-step explanation:
We start of with this.
[tex]x(x-3)-4(2x+7)[/tex]
First, use the distributive property, and distribute the x to the (x-3) to get: [tex]x^{2} -3x-4(2x+7)[/tex]
Next, distribute the -4 to the (2x+7) to then get:
[tex]x^{2} -3x-8x-28[/tex]
Then, combine like terms. In this case, combine -3x and -8x since they are alike and get:
[tex]x^{2} -11x-28[/tex]
The answer is already in standard form, so we're done. To write a polynomial in standard form, write the monomial with the variable, with the largest exponent first. In this case, [tex]x^{2}[/tex] goes before [tex]-11x[/tex] because of the exponent of 2. Monomials without a variable go last, so that's why -28 is last.
Exact value using sum and difference, Sin75°
Answer:
sin(75°) = [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]
Step-by-step explanation:
Given: sin(75°)
Rewrite: sin(30° + 45°)
Use sum and difference identity:
sin(α + β) = sinαcosβ + cosαsinβ
sin(30°+45°) = sin(30°)cos(45°) + cos(30°)sin(45°)
sin(30°+45°) = (1/2)(√2 / 2) + (√3 / 2)(√2 / 2)
sin(30°+45°) = (√2 / 4) + (√6 / 4)
sin(30°+45°) = [(√2 + √6) / 4]
sin(75°) = [(√2 + √6) / 4]
A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and
3 tables is 31$. The total cost to rent 2 chairs and 6 tables is 52$. What is the cost to rent each chair and each table?
Answer:
1 Chair= $1.25 1 table= $8.25
Step-by-step explanation:
5c+3t=31
2c+6t= 52
-2(5c+3t=31)
-10c-6t=-62
+
2c+6t=52
= -8c=-10
/-8 /-8
c= 1.25 or 1 1/4
2c+6t=52
2(1.25)+6t=52
2.5+6t=52
-2.5 -2.5
6t= 49.5
/6 /6
t= 8 1/4
What is the gradient?
Answer:
Gradient = 2
Step-by-step explanation:
Gradient of a line = Slope of the line
Since, slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Given line in the graph passes through two points (1, 0) and (2, 2)
Therefore, slope or gradient of the line = [tex]\frac{2-0}{2-1}[/tex]
= 2
Gradient = 2 will be the answer.