The equation of the parabola is
y = 5/3(x + 2) (x - 4)How to find the equation of the parabolaThe equation of the parabola is solved using the equation
y = a(x - r1) (x - r2)
where r1 and r2 are the roots or x-intercept
The roots of the equation is given as -2 and 4.
hence we have that
y = a(x + 2) (x - 4)
Using (-1, -3) we solve for a
-3 = a(-1 + 2) (-1 - 4)
-3 = a(1) (-5)
-3 = -5a
a = 3/5
Plugging this figure back into the original equation,
y = 5/3(x + 2) (x - 4)
Learn more about parabola at
https://brainly.com/question/29635857
#SPJ1
A computer chip company finds the experimental probability of manufacturing a defective computer chip is 1/3 how many defective computer chips are likely to be in a batch of 735 computer chips
Answer:
There are 245 expected defective chips in the batch
Step-by-step explanation:
From the question, we have that in a batch of computer chips, it is expected that a third is defective
Now, in this present batch, there are 735 chips
The number of defective chips is a third of this
Thus, we have the number of defective chips as;
1/3 * 735 = 245 chips
QUESTION 3 Toyota provides an option of a sunroof and side airbag package for its Corolla model. This package costs $1400. Assume that prior to offering this option package, Toyota wants to determine the percentage of Corolla buyers who would pay $1400 extra for the sunroof and side airbags. How many Corolla buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percent all Corolla buyers
Answer:
n=601
Step-by-step explanation:
Formula used:
\(n=z(\frac{\alpha }{2})^2\frac{p(1-p) }{E^2}\)
Solution:
\(n=z(\frac{\alpha }{2})^2\frac{p(1-p) }{E^2}\)
Where,
\(\frac{\alpha }{2}=0.025\)
As there is no previous estimate for p
Then, p=0.5
Here on using the table
\(z(\frac{\alpha }{2}) =1.959963985\)
Also,
E=0.04
p=0.5
Thus,
n=600.2279407
On approximating the value,
n=601
Hi! I need some help on my hw! Feel free to attach a picture explaining it if that’s easier tysm!
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.
1. 45 and 135
2. 45 and 45
3. know that triangles add up to 180 so:
95+40=135 either use algebra or just do 180-135 to get:
x=45
Please help I think this is the wrong answer
Answer:
It is! The correct answer is -98/5 or -19.6
Step-by-step explanation:
Solve the right triangle for all unknown sides and angles. Round your answers to two decimal places.
B = 71
, b = 24
Angle A is 19 degrees.
Angle C is 90 degrees.
Side a is approximately 7.83.
Side c is approximately 34.50.
To solve the right triangle given that B = 71 degrees and b = 24, we can use the trigonometric ratios sine, cosine, and tangent.
Finding Angle A:
Angle A is the complementary angle to B in a right triangle, so we can calculate it using the equation:
A = 90 - B
Substituting the given value, we have:
A = 90 - 71
A = 19 degrees
Therefore, Angle A is 19 degrees.
Finding Angle C:
Since it is a right triangle, Angle C is always 90 degrees.
Therefore, Angle C is 90 degrees.
Finding Side a:
We can use the sine ratio to find the length of side a:
sin(A) = a / b
Rearranging the equation to solve for a, we have:
a = b * sin(A)
Substituting the given values, we have:
a = 24 * sin(19)
a ≈ 7.83
Therefore, the length of side a is approximately 7.83.
Finding Side c:
Using the Pythagorean theorem, we can find the length of side c:
c^2 = a^2 + b^2
Substituting the given values, we have:
c^2 = 7.83^2 + 24^2
c^2 ≈ 613.68 + 576
c^2 ≈ 1189.68
Taking the square root of both sides to solve for c, we have:
c ≈ √1189.68
c ≈ 34.50
Therefore, the length of side c is approximately 34.50.
To know more about trigonometric ratios, visit
https://brainly.com/question/23130410
#SPJ11
. a certain country, the true probability of a baby being a girl is 0.488. Among the next six randomly selected births in the country, what is the probability that at least one of them is a boy? The probability is (Round to three decimal places as needed.)
Answer:
10geggsggegrgsheukudj
Can you please help me please:(
Answer:
I think that the answer would be 12.
Step-by-step explanation:
1/2 gallon = 24 brownies
I do not know if that is right but I think it is.
sorry if its not
Calculate the length of the diagonal of the state of Wyoming.
365 mi 275 mi
The length of the diagonal of the state of Wyoming is approx 457 mi.
In the given question, we have to calculate the length of the diagonal of the state of Wyoming.
As we can see that the Wyoming is in the square shape.
The length of the Wyoming is 365 mi.
The height of the Wyoming is 275 mi.
Right-angled triangles are defined as having one of its angles be a right angle, and the side that faces the right angle is known as the hypotenuse.
The Pythagoras theorem states that the square of the length of the hypotenuse, the longest side in a right-angle triangle, equals the sum of the squares of the lengths of the other sides comprising the right angle.
The Pythagoras theorem can be written as c^2 = a^2 + b^2 for a right triangle with lengths of a, b, and c, where c is the hypotenuse.
So, a = 365 mi and b = 275 mi
Now putting the values in the formula.
c^2 = (365)^2 + (275)^2
c^2 = 133,225 + 75,625
c^2 = 208850
Taking square root on both side, we get
c = 457(approx) mi
Hence, the length of the diagonal of the state of Wyoming is approx 457 mi.
To learn more about Pythagoras theorem link is here
brainly.com/question/21511305
#SPJ4
100 points, brainliest, and multiple choice!!!!!!!!
Answer:
5-0 =15 by using shuvam theorY
74. At the gym suppose that 10% of adults belong to health clubs, and 40% of these health club members go to the club at least twice a week. What percent of all adults go to a health club at least twice a week?
Write the information given in terms of probabilities,
and use the general multiplication rule.
The proportion of all adults go to a health club at least twice a week is 4%.
What is percent?
A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.
Given:
At the gym suppose that 10% of adults belong to health clubs, and 40% of these health club members go to the club at least twice a week.
The proportion of adults who belong to health clubs is 10% that is 0.10.
The proportion of these adults (health club members) go to the club at least twice a week is 40%, that is 0.40.
Hence, the proportion of all adults go to a health club at least twice a week is
0.10 × 0.40 = 0.04, that is 4%
To know more about percent, click on the link
https://brainly.com/question/14450597
#SPJ1
A. Is there a GCF?
B. Is the polynomial a special case? If so, name the special polynomial.
4x^2 + 4x + 1
Therefore, after answering the given query, we can state that The given polynomial 4x2 + 4x + 1 cannot be classified as a special case polynomial because it is not a special polynomial.
What is Highest Common Factor?The biggest common divisor of multiple non-zero integers is defined in mathematics as the highest significant integer the fact that divides the associated integers. The sum of two or more integers is the greatest common variable (HCF) of those numbers. It is commonly referred to as a most common divisor as a result. (GCF). To find the largest common divisor, take the prime values of each of the two (or a number of) integers and identify the shared prime factors. The largest common divisor after that is the sum of all the prime factors. The greatest common factor of a given number is determined by dividing it by the largest integer.
A. The polynomial 4x2 + 4x + 1 must be factored into its prime components in order to determine its GCF (Greatest Common Factor). However, using integers or rational numbers, this equation cannot be factored any further. Consequently, this polynomial's GCF is 1.
B. The given polynomial 4x2 + 4x + 1 cannot be classified as a special case polynomial because it is not a special polynomial.
To know more about is Highest Common Factor visit:
https://brainly.com/question/802960
#SPJ1
for f− f − , enter an equation that shows how the anion acts as a base. express your answer as a chemical equation. identify all of the phases in your answer.
The anion acts as a base as shown by the equation below:As a base, an anion is a compound that accepts a hydrogen equation ion (H+),
thus, the equation for f− acting as a base can be given as:F⁻ + H₂O ⟷ OH⁻ + HF (aq)The phases in this equation are aqueous (aq), and as such, can be represented as:F⁻(aq) + H₂O(l) ⟷ OH⁻(aq) + HF(aq)Note that the reversible arrow (↔) indicates that the reaction is not complete and can proceed in either direction, depending on the conditions of the reaction.
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ11
HELP WUICKY PLEAS ESILL GIVD EXTRA POINTS IM BEGGING OELASES
Find the area of the figure. Use 3.14 for pi
A. 49.26 in 2
B. 56.13 in 2
C. 70.26 in 2
D. 35.13 in 2
Answer:
the answer is d
Step-by-step explanation:
Can i have brainliest?
Which is NOT true?
A 7 + 7 = 19 - 5
B 9 + 9 = 11 + 7
C 19 = 13 + 5
D 20 - 12 = 4 + 4
Answer:
C
Step-by-step explanation:
13+5=18 not 19 therefore C is not true
help this is literally due tomorrow
This is a trick question. They eat 1/3 of the gallons given. Multiply
1/3 * 1/3 = 1/9 gallons or 0.111 gallons
Answer: Aye aye, cap'in
Step-by-step explanation:
So we start off with our base value, 1/3 gallons.
We are trying to find how many gallons we have eaten, so we do 1/3*1/3, since we need to find what is 1/3rd of that gallon.
For reference, if you wanted to find how much is left over, we multiply by 2/3 since 1-1/3 = 2/3, so there are 2/3 of the 1/3rd gallons left. Not important for solving this problem, but it might help you understand why we decided to multiply by 1/3.
1/3 * 1/3 = 1/9
Our answer is 1/9.
The opposite angles formed by two intersecting lines are ______?
1)of equal measures/ समान मापाचे
2)supplimentary / पूरक
3)of unequal measures / असमान मापाचे
4)corresponding angles / संगत कोन
Answer:
1)
Step-by-step explanation:
The opposite angles formed by two intersecting lines are of equal measures.
They are called vertically opposite angles.
pls help me someone, I’d appreciate it
Answer:
since A is getting smaller it cant be the last 2, so its either 1/2 or 3/4 and a 1/2 dilation would be wayy smaller than that. so I'm thinking its 3/4
Step-by-step explanation:
lmk if this helps :)
in 448,244 how is the relationship beyween the first pair of 4s the same as the relationship between the second pair of 4s
The key here is to know place values
We can move from right to left and understand the place values.
• Right most "4" is place value of ones
,• Moving left, "4" has place values tens
,• Moving left, "2" has place value hundreds
,• Again left, "8" has place value thousands
,• Left, "4" has place value ten thousands
,• Lastly (leftmost digit, 4), "4" has place value hundred thousands
Now,
The left-most pair of 4s have place value of:
hundred thousands and ten thousands, that means:
\(4\times100,000=400,000\)\(4\times10,000=40,000\)Also, now, let's look at right-most pair of 4s, they have place value of:
ones and tens, that means:
\(4\times1=4\)\(4\times10=40\)We have to figure out the relationship between 400,000 and 40,000 and also between 4 and 40.
We can simply see that 40 is 10 times the number 4.
Also, 400,000 is 10 times the number 40,000.
Hence, the value of one of the 4's is 10 times the value of the other 4's (IN BOTH THE PAIRS, leftmost pair and rightmost pair).
pls help will mark this brainlest
Answer: D
Step-by-step explanation: The line of best fit is a straight line that passes through as many points as possible and has around the same number of points above and below it. D meets those requirements the best.
Answer:
Line D
Step-by-step explanation:
Line D is most fit because it intercepts more of the dots on the graph, if not, comes close to touching the majority of them.
help........................................................................
Step-by-step explanation:
what is Fahrenheit use celsius bruuuhhhh
Answer:
C. The temperature decreased by 6.75 degrees F
Step-by-step explanation:
(1 point) standard automobile license plates in a country display 2 numbers, followed by 3 letters, followed by 2 numbers. how many different standard plates are possible in this system? (assume repetition of letters and numbers is allowed.) your answer is :
Therefore ,there are 158,184,000 ways to create a license plate in this system.
What is combination ?A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.
According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.
The first number (the digits 1 through 9) can be obtained in nine different ways.
There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).
There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.
How many ways are there to get the next number? 10 ways\s.
Thus ,total options for obtaining a license plate:
9 x 26 x 26 x 26 x 10 x 10=158184000
Therefore ,there are 158,184,000 ways to create a license plate in this system.
To know more about combination , visit
https://brainly.com/question/27058178
#SPJ4
Carla has 22% of her paycheck taken for taxes. If the amount taken for taxes is $136.40, what is the amount of Carla's paycheck before taxes are taken out
Answer:
$620
Step-by-step explanation:
At the shop shirts cost 45£ each Tim buys 3 shirts Craig buys 5
Answer:
Step-by-step explanation:
Tim shirts cost = 3*45
Craig shirts cost = 5*45
Total cost = 135+225
=360
help me please they are going to kick me out if not
Answer:
The answer is A: f(x)=5^x
Step-by-step explanation:
If you graph all of these functions, A is the only one that's increasing.
Hope this saves you from being kicked out!
Write an addition expression to describe the situation. Then find the sum and select the correct answer below. A hiker starts at 200 ft. above sea level and then hikes up the mountain 1,500 more feet. When coming down the other side of the mountain, she descends 500 before taking a ten-minute break. How high above sea level is she during this ten-minute break?
A 1,700 ft. B1,000 ft. C1,200 ft. D1,190 ft.
Answer:
(200+1,500) - 500 = 1,200 ft
Step-by-step explanation:
the hiker started at 200 ft then went 1500 more feet. (add it up) Then, she descends (goes down) 500 feet. So let's subtract 500 feet from the sum of 200 and 1500. ( (200+1500 equals 1700, then subtract 500 which will be 1200.) ) So, she is 1200 feet above sea level during the 10 minute break.
♡ Hope it helps♡
consider the following table. what is the probability of red? red blue total yes 15 21 36 no 38 13 51 total 53 34 87 g
The probability of red is 0.1724, given the following table.
The table provided is given in the form of a contingency table. It is used to display the relationship between two categorical variables or nominal data through frequency distribution. It is also referred to as a two-way frequency table.
The table has "Yes" and "No" categories in the rows and "Red" and "Blue" categories in the columns.
The probability of Red can be calculated using the formula;
P(Red) = (Frequency of Red) / (Total Frequency)
Using the values provided in the table
,P(Red) = 15/87P(Red) = 0.1724
Hence, the probability of red is 0.1724.
To learn more about probability: https://brainly.com/question/13604758
#SPJ11
find the gradient
giving brainliest ps help
Answer:
- 3 , 3 , 0
Step-by-step explanation:
calculate the gradient (slope) m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (3, 11 ) and (x₂, y₂ ) = (6, 2 )
m = \(\frac{2-11}{6-3}\) = \(\frac{-9}{3}\) = - 3
---------------------------------------------
with (x₁, y₁ ) = (1, - 2 ) and (x₂, y₂ ) = (4, 7 )
m = \(\frac{7-(-2)}{4-1}\) = \(\frac{7+2}{3}\) = \(\frac{9}{3}\) = 3
--------------------------------------------
with (x₁, y₁ ) = (2, 14 ) and (x₂, y₂ ) = (5, 14 )
m = \(\frac{14-14}{5-2}\) = \(\frac{0}{3}\) = 0
S= {c, h, i, n, a
V = {i, t,a, l, y}
List the elements of the set
(i) SOV
Answer:
Step-by-step explanation:
Solution,
If you mean SOV then;
Elements of SOV are {b,d,e,f,g,j,k,m,o,p,q,r,s,u,v,w,x,y,z}
If you mean S∪B then;
Elements of S∪B are {c,h,i,n,a,t,l,y}
Hope it will help you.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!! GEOMTREY
Answer:
\(m\angle{ABC}=144^{\circ}\)
Step-by-step explanation:
By using Angle Addition Postulate, it holds:
\(m\angle{ABD}+m\angle{DBC}=m\angle{ABC}\)
Substitute \(m\angle{ABD}=76^{\circ}\) and \(m\angle{DBC}=68^{\circ}\) into the equation:
\(76^{\circ}+68^{\circ}=m\angle{ABC}\)
Add the measures:
\(m\angle{ABC}=144^{\circ}\)
PLEASE HELP Clinical trials involved treating flu symptoms with a new medicine. Among 724 patients treated with the medicine, 72 experienced a side effect of nausea. The claim is that the rate of nausea is greater than the 6% rate experienced by flu patients given a placebo. Find a test statistic of the proportion.
z = 4.47
z = –1.41
z = 4.53
z = 1.41
The test statistic of the proportion is given as follows:
z = 4.47.
How to calculate the test statistic for the proportion?The equation that gives the test statistic for a proportion is given as follows:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
In which:
\(\overline{p}\) is the sample proportion.p is the expected proportion from the population, or the test proportion.n is the sample size.In the context of this problem, the values of these parameters are given as follows:
\(p = 0.06, n = 724, \overline{p} = \frac{72}{724} = 0.0994\)
Hence the test statistic for the proportion is calculated as follows:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
\(z = \frac{0.0994 - 0.06}{\sqrt{\frac{0.06(0.94)}{724}}}\)
z = 4.47.
Meaning that the first option is correct.
More can be learned about test statistics at https://brainly.com/question/13873630
#SPJ1