Answer:
x=7/2 and x=-2/7
Step-by-step explanation:
By the Zero Product Property, we will set both expressions equal to 0 and solve:
p(x) = (2x-7)(7x+2)
0 = (2x-7)(7x+2)
2x-7=0 and 7x+2=0
2x=7 and 7x=-2
x=7/2 and x=-2/7
The factors of the polynomial are (2x – 7) and (7x + 2). Then the zeroes will be 7/2 and negative 2/7.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
p(x) = (2x – 7)(7x + 2)
Then the zeroes of the polynomial will be
The factor of the polynomial is already given. Then the zeroes will be
x = 7/2, -2/7
More about the factorization link is given below.
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In a class of 7, there are 3 students who have done their homework.
If the teacher chooses 3 students, what is the probability that none of the three of them have done their
homework?
Choose 1 answer:
2/37
6/41
ОООО
5/29
4/35
Answer:
4/35
Step-by-step explanation:
Probability of 1 student having no hw is 4/7, then 3/6, then 2/5
4/7 x 3/6 x 2/5 reduces to 4/35
give the correct triangle congruence theorem
What is the scale factor of the dilation shown?
Answer:
A) [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
If 200 customers buy 45 desserts at your store, how
many desserts can you expect to sell to
500 people?
NO LINKS
Answer:
113
Step-by-step explanation:
200 Customers = 45 Desserts
1 Customer = 45/200= 0.225 Desserts(Approx)
500 Customers= 0.225*500 = 113 Desserts(Approx)
In ΔKLM, m = 480 cm, k = 360 cm and ∠L=29°. Find the area of ΔKLM, to the nearest square centimeter.
Answer:
The answer is=
41887.551
A triangle has side lengths of 16cm, 63cm, and 65cm. Classify it as acute, obtuse or right.
Please helpppp!!!
9514 1404 393
Answer:
right
Step-by-step explanation:
If you're going to be in the business of classifying triangles based on side lengths, it can be useful to know there is a "form factor" that can help. For sides a, b, c, with long side 'c', it is computed as ...
f = a² + b² - c²
It has the following interpretation with respect to triangle shape:
f > 0 . . . acute
f = 0 . . . right
f < 0 . . . obtuse
__
In this case, we have ...
16² +63² -65² = 256 +3969 -4225 = 0
The triangle is a right triangle.
_____
Additional comment
When the triangle is a right triangle, this is equivalent to a statement of the Pythagorean theorem: c² = a² + b².
For triangles of other shapes, the interpretation is consistent with the Law of Cosines. When the form factor is divided by 2ab, the result is the cosine of the largest angle. That is why >0 means acute and <0 means obtuse.
Is 2/9 a perfect square
According to the AAA Foundation for Traffic Safety's American Driving Survey, U.S. drivers spend.
on average, 51 minutes behind the wheel each day. A researcher believes this is an overstatement.
To investigate, a random sample of 75 drivers were selected. The study revealed that the mean
time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of
18.8 minutes. Is there convincing evidence that the mean time behind the wheel for all U.S. drivers
is less than 51 minutes? Use a = 0.01.
Answer:
The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.
Step-by-step explanation:
U.S. drivers spend on average, 51 minutes behind the wheel each day.
This means that at the null hypothesis we test that:
[tex]H_{0}: \mu = 51[/tex]
Is there convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes?
This means that the alternate hypothesis is:
[tex]H_{a}: \mu < 51[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
51 is tested at the null hypothesis:
This means that [tex]\mu = 51[/tex]
The study revealed that the mean time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of 18.8 minutes.
This means that [tex]n = 75, X = 46.4, \sigma = 18.8[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{46.4 - 51}{\frac{18.8}{\sqrt{75}}}[/tex]
[tex]z = -2.12[/tex]
Pvalue of the test:
The pvalue of the test is the probability of finding a sample mean less than 46.4, which is the pvalue of z when X = 46.4.
Looking at the z-table, z = -2.12 has a pvalue of 0.017.
Decision:
The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.
No, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.
Given the following data:
Mean = 51.Number of drivers = 75 drivers.Sample mean (mean time) = 46.4 minutes.Standard deviation = 18.8 minutes.What is a null hypothesis?A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.
For the null hypothesis, we would test that:
[tex]H_o : \mu =51[/tex]
For the alternate hypothesis, we would test that:
[tex]H_a : \mu < 51[/tex]
The test statistics would be calculated with this formula:
[tex]Z=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]
Where:
x is the sample mean.u is the mean.[tex]\delta[/tex] is the standard deviation.n is the number of drivers.Substituting the given parameters into the formula, we have;
[tex]Z=\frac{46.4\;-\;51}{\frac{18.8}{\sqrt{75} } }\\\\Z=\frac{-4.6}{\frac{18.8}{8.6603} }\\\\Z=\frac{-4.6}{2.1708 }[/tex]
Z = -2.12.
What is a p-value?In Statistics, a p-value also known as the probability value is the probability which occurs when the null hypothesis ([tex]H_0[/tex]) is true of obtaining a sample mean that is at least as unlikely as what is observed by a researcher or scientist.
From the z-table, a z-score of -2.12 corresponds to or has a p-value of 0.017. Therefore, the p-value for this test is 0.017 > 0.01.
In conclusion, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.
Read more on null hypothesis here: https://brainly.com/question/14913351
Compare areas: the side of a square is 14 m long. If all four size increased by 5, how my how much is the area increase?
The areas from _____ m^2 to _____ m^2, which is an increase of _____ m^2.
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Answer:
196361165Step-by-step explanation:
The original side length is 14 m, so the area is (14 m)² = 196 m².
The longer side length is 14 m + 5m = 19 m, so the area is (19 m)² = 361 m².
The increase in area is ...
361 m² -196 m² = 165 m²
The area increases from 196 m² to 361 m², which is an increase of 165 m².
Answer:
The areas from 196 m² to 361 m², which is an increase of
165 m²
ASAP SHOW WORK PLEASE
Answer:
1) 5 in, 12 in, 13 inStep-by-step explanation:
1)
5² + 12² = 13²25 + 144 = 169169 = 169Yes2)
5² + 7² = 9²25 + 49 = 8174 ≠ 81No3)
10 + 12 < 30, there is no possible triangle with given sides as per triangle inequality theoremA function is shown in the table below. What equation represents this function?
y = -32 + 12
3r – 6
1
2
1
1
4
y
12
9
3
0
y = -30 + 6
+6
Answer:
y=-30+6+6 I hope it helps
have a good night
Which graph represents y as a function of x?
Answer:
b
Step-by-step explanation:
Enter the number that makes this equation true. 4.20 + 12/100 = _/100 + 12/100
What size is a standard margin?
a.
1.5 inches
c.
.5 inches
b.
2 inches
d.
1 inch
Please select the best answer from the choices provided
A
B
C
D
Answer: D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
If you do this for me you get Brainlyist
Answer:
v - √19
Step-by-step explanation:
the answer is v - √19
I know it small but can someone help me. It says The table below shows customers' favorite ice cream flavors at a popular ice cream shop, The North Pole. Which relative frequency table and percent bar graph best represents the favorite ice cream flavors for customers at The North Pole ice cream shop?
Answer:
Graph AStep-by-step explanation:
We know it must be graph A because when finding the most popularly bought item, the percentages only can go to 100%
So graphs C and D are eliminated.
Also since it never said any flavors were unknown, all the percents have to add up to 100%
So graph B is eliminated.
Only graph A follows the requirements
Someone please help me answer this!!
Answer:
c = 53 miles
Step-by-step explanation:
a^2 + b^2 = c^2
45^2 + 28^2 = c^2
2,025 + 784 = c^2
2809 = c^2
c = 53
Fill in the boxes to make a true statement. (_-3i)-(15+_i)=7-12i
Answer:
blank space=[tex]\frac{31}{2}[/tex]+[tex]\frac{13i}{2}[/tex]
The empty boxes which make the equation true are (22 -3i) - (15 + 9i)
= 7 - 12i.
What are complex numbers?As the name suggests it is a combination of real numbers and imaginary numbers.
A complex number (a + ib) where a is the real part and b is the imaginary part.
'i' here is called iota and i = √-1, i² = - 1, i³ = - i and i⁴ = 1.
Given, (_ -3i) - (15+_i) = 7 - 12i.
Assuming the real number to be 'a' and the imaginary number to be 'b'.
∴ (a - 3i) - (15 + bi) = 7 - 12i.
a - 3i - 15 - bi = 7 - 12i.
On comparing the real and imaginary parts we get,
a - 15 = 7.
a = 22,
- 3i - bi = - 12i.
- bi = - 9i.
b = 9.
learn more about complex numbers here :
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pair of
onding angles.
2. WHICH ONE DOESN'T BELONG? 2-6
Answer:
2. Measure 5
3. lines m and n are parallel
4. line t is transversal
5. 8 angles are formed by transversal
6. 1, 3, 5, 7 are congruent. 2, 4, 6, 8 are congruent.
Which property can be used to solve the equation?
d/10=12
A. addition property of equality
B. subtraction property of equality
C. multiplication property of equality
D. division property of equality
Answer:
C
Step-by-step explanation:
You are dividing, if you think about it every time I do it is the opposite of your equation. Plus you are supposed to multiply on both sides to get the value of d.
In the book Chances: risk and odds in Everyday Life, author James Burke says that approximately 57% of the general US population wears glasses or contacts. If two people are chosen at random from the US population, what is the probability that both wear glasses or contacts?
Answer:
[tex]Pr = 32.49\%[/tex]
Step-by-step explanation:
Given
Let E represents the event of wearing glasses or contacts.
So;
[tex]P(E) =57\%[/tex]
Required
The probability that selected 2 wears glasses
This is calculated as:
[tex]Pr = P(E)\ and\ P(E)[/tex]
[tex]Pr = P(E)\ *\ P(E)[/tex]
[tex]Pr = 57\% * 57\%[/tex]
[tex]Pr = 0.57 * 0.57[/tex]
[tex]Pr = 0.3249[/tex]
[tex]Pr = 32.49\%[/tex]
4. What type of sequence is this? *
6.6, 7.2, 7.8, 8.4, 9, ...
lArthimetic
Geometric
Neither
Answer:
Arithmetic
Step-by-step explanation:
We are given the sequence :
6.6, 7.2, 7.8, 8.4, 9, ...
We need to determine whether it is arithmetic, geometric, or neither.
Arithmetic sequences are a bunch of numbers that gradually increase or decrease through equal amounts of adding or subtracting.
Geometric are the same thing but the numbers are gradually increasing or decreasing through multiplication or dividing.
Looking at the sequence, we notice that 0.6 is added into every single number to reach the one next to it.
It fits the description of an arithmetic sequence, therefore the sequence is arithmetic.
(Photo is part one)Malik also adds the following ingredients. How many cups of each
did he add? Show each step of your solution.
• 28 tablespoons of sugar
• 6 tablespoons of cocoa powder
Answer:
Step-by-step explanation:
what are we looking for?/
Find the measure of x
Answer:
13°
Step-by-step explanation:
1. the two angles are equal
2. the sum of all the angles of a triangle is equal to 180°
so X+13+154=180
X+167=180
X= 180-167
X=13°
Help please
No file links!
Brainliest
Answer:
Bottom right does not belong.
Step-by-step explanation:
The bottom right chart does not belong.
It does not calculate the formula correctly after the first time:
y = 2/3x
y = 2/3(4)
y = 8/3
y = 2.66666...7
In the picture, it shows y = 4 instead which is untrue. When looking at the top left picture, the graph also shows that when x = 4, y = 2.66666...7.
The bottom left picture fits in because it's counting by 1's in gallons of lemonade and by 1.5's in cups of sugar. The graph is also counting by these numbers.
Omar is born weighing 8 pounds,3 ounces.The doctor says he should gain a about 5 ounces each week for the next 4 weeks.How much should Omar weigh after 4 weeks?
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Angle HGD and HGI are adjacent angle
hope it helps
A decimal that stops (like 2.48) is which type of number?
A.rational
B.whole number
C.irrational
D.integer
Answer: B rational
Step-by-step explanation:
What is the answer no links please
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Answer:
B 550 tickets
Step-by-step explanation:
50% of 1100 tickets were sold the first two days.
0.50 × 1100 = 550
550 tickets were sold the first two days.
Answer:
B. 550 TicketsStep-by-step explanation:
#CarryOnLearningPlease answer as soon as you can.