Answer: 4
Step-by-step explanation:
We can write the equation as
[tex]x(x-1)^{2}(x^{2}+2x+3)=0\\\\x=0, 1, -1 \pm i\sqrt{2}[/tex]
Therefore, there are 4 distinct roots.
Which one of the following expressions has the same value as -11 + 6?
Answer:
1 + 4 = 5
Step-by-step explanation:
Use the following scenario for the next 4 questions: Based on the results of an annual customer satisfaction survey of State Farm policyholders, State Farm claims that policyholders have a customer satisfaction rate of greater than 90%. To check the accuracy of this claim, a random sample of 60 State Farm policyholders was asked to rate whether they were satisfied with the quality of customer service. Fifteen percent of these policyholders said they were not satisfied with the quality of service. Can we infer that the satisfaction rate is less than the claim with a level of significance of 5%
Answer:
Since the pvalue of 0.0985 > 0.05, we cannot infer that the satisfaction rate is less than the claim with a level of significance of 5%
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 0.9[/tex]
Because tate Farm claims that policyholders have a customer satisfaction rate of greater than 90%.
The alternate hypotesis is:
[tex]H_{1} < 0.9[/tex]
Because of the question: Can we infer that the satisfaction rate is less than the claim with a level of significance of 5%.
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.
State Farm claims that policyholders have a customer satisfaction rate of greater than 90%.
This means that [tex]\mu = 0.9, \sigma = \sqrt{0.9*0.1}[/tex]
To check the accuracy of this claim, a random sample of 60 State Farm policyholders was asked to rate whether they were satisfied with the quality of customer service.
This means that [tex]n = 60[/tex]
Fifteen percent of these policyholders said they were not satisfied with the quality of service.
So 100 - 15 = 85% were satisfied, which means that [tex]p = 0.85[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.85 - 0.9}{\frac{\sqrt{0.9*0.1}}{\sqrt{60}}}[/tex]
[tex]z = -1.29[/tex]
[tex]z = -1.29[/tex] has a pvalue of 0.0985.
Since the pvalue of 0.0985 > 0.05, we cannot infer that the satisfaction rate is less than the claim with a level of significance of 5%
9. The Smiths' have decided to put a paved walkway of uniform width around their
swimming pool. The pool is a rectangular pool that measures 12 feet by 20 feet. The area of
the walkway will be 68 square feet. Find the width of the walkway.
Answer:
Pretty sure the width would be one foot.
Bobby, Jessy, Carl, and Andrea are working a shift at the concession stand during their school football game. The football game has four quarters, and each person works one of the quarters.
Using the arrangements formula, it is found that there are 24 ways to arrange the people as such one works each quarter.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, 4 people will be arranged, hence:
[tex]A_4 = 4! = 24[/tex]
Hence, they can be arranged in 24 ways.
More can be learned about the arrangements formula at https://brainly.com/question/24648661
Eight more than the product of a number and 4 is equal to 9
Answer:
1/4
Step-by-step explanation:
8 + 4n = 9
4n = 1
n = 1/4
What is the value of mc015-1.jp g?
Answer:
I dont know
Step-by-step explanation:
Answer:
1456
Step-by-step explanation:
This question is asking us to find the sum of [tex]4(3)^{n-1}[/tex] from n = 1 to n = 6. We can find the sum like this:
[tex]4(3)^{1-1} +4(3)^{2-1} +4(3)^{3-1} +4(3)^{4-1} +4(3)^{5-1} +4(3)^{6-1}[/tex]
Which can be simplified to:
[tex]4(3)^{0} +4(3)^{1} +4(3)^{2} +4(3)^{3} +4(3)^{4} +4(3)^{5}[/tex]
[tex]4(1) +4(3) +4(9) +4(27)+4(81) +4(243)[/tex]
[tex]4 +12 +36 +108+324 +972 = 1456[/tex]
"Write an equation for a slope of -7 and a y-intercept of -15"
Can someone plss help mee !?
Which line shows the first error in the solution?
Answer:
The first error is in line 1.
Step-by-step explanation:
The equation that represents the statement is:
[tex]4-\frac{x}{3}=11[/tex]
it is four (4) less than a number (x) divided by three (3) is 11.
Therefore, we need to start from this equation, so the first error is in line 1.
I hope it helps you!
A 16 foot ladder is leaning against a wall with the base 4 feet from the wall. How high does the ladder hit the wall?
Answer:
15.49
Step-by-step explanation:
The pythagorean theorem
4^2 + B^2 = 16^2
16 + B^2 = 256
16 + 240 = 265
Sqrt240 = 15.49
Answer:
[tex]x = 15.49[/tex]
Step-by-step explanation:
To solve this problem is necessary to use the pythagorean theorem:
According to this diagram, the length of the ladder would be the hypotenuse and the distance between the base and the wall would be one of the legs of the triangle, to find the other leg, use the pythagorean theorem:
[tex]x = \sqrt{ {16}^{2} - {4}^{2} } \\ x = \sqrt{240} \\ x = 15.49[/tex]
The ladder hits the wall at 15:49 feet.
Use the figure to find the measures of the numbered angles.
Answer:
1 = 81 degrees
2 = 99 degrees
3 = 81 degrees
4 = 99 degrees
5 = 81 degrees
6 = 99 degrees
7 = 81 degrees
Answer:
Step-by-step explanation:
1 = 81 degrees
2 = 99 degrees
3 = 81 degrees
4 = 99 degrees
5 = 81 degrees
6 = 99 degrees
7 = 81 degrees
(Will mark branliest please help!! :) Find the area of the figure.
A) 20 mm2
B) 40 m2
4 mm
4 mm 6 mm
C) 14 mm
D) 40 mm
4 mm
Answer:
Well, let's break it down.
Since calculating a triangle is like calculating a rectangle, then sawing it in half, we can correctly decide that the top and bottom right sections are both equal to twelve, adding up to 24. Now for the other two, we can use another quick trick; by instead of adding the equal right triangles, you can skip the division and multiplication by two, leaving us with a square area of 16. 24 + 16 is 40, and since we are working with millimeters instead of meters, the answer must be D
tl/dr: D
Hope this helps!
Step-by-step explanation:
3. Which statement is true?
A. The only factors of 3 are 3 and 1.
B. The only factors of 4 are 4 and 1.
C. The only factors of 6 are 6 and 1.
D. The only factors of 8 are 8 and 1.
Answer: A
Step-by-step explanation: 4 can be divided by 2, 6 can be divided by 3, and 8 can be divided by 4. 3 can only be divided by 3 and 1, so the answer is A.
Hope this helps :)
Answer:
A) 3 is a prime number which means its only factors are itself and one
Step-by-step explanation:
all other options are composite numbers and have 3 or more factors:
factors of 4: 1,2,4
factors of 6: 1,2,3,6
factors of 8: 1,2,4,8
Please help me with this problem!
Answer: Yes
Step-by-step explanation:
Solving for the third angle in the left triangle, using the fact that angles in a triangle add to 180 degrees, we get the third angle is 180-50-60=70 degrees.
Thus, the triangles are similar by AA.
I need help with this question please, if anyone would be kind enough to give me the correct answer, in return I would gladly rate a 5 star and give brainliest (:
The length of a rectangle is 7x - 3 and the width is 2(x + 3). What is the perimeter of the rectangle?
Answer:
(18x + 6)m
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
Perimeter = 2l + 2w
Perimeter = 2(7x - 3) + 2(2(x + 3))
Perimeter = 14x - 6 + 4(x+3)
Perimeter = 14x -6 +4x +12
Perimeter = (18x + 6)m
order least to greatest -5, -7, -0.75, 13, 0.75, 0.5, 9
Answer: -7, -0.75, -5, 0.5, 0.75, 9, 13
Step-by-step explanation:
Because negative numbers are always less
Help
solve 2x+4=10
Brainliest
❤️ The answer is attached
achievements.
Answer:
x=3
Step-by-step explanation:
2x+4=10
subtracting both side by 4.
2x+4-4=10-4
2x=6
x=6/2=3
1. Is a Square a rectangle?(Always, Never, Sometimes. Are all the answers you can say for these)
2. is a trapezoid a parallelogram?
3. does Quadrilaterals
have for congruent sides?
4. is a parallelogram a rectangle?
Answer:
1. sometimes
2. always
3. always
4. always
Step-by-step explanation:
Find an ordered pair that satisfies the function y = 2x – 12.
Answer:
give me the points i really need them for a test
Step-by-step explanation:
pleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleasepleaseplease
Answer:
Answers below
Step-by-step explanation:
(0,-12)
(1,-10)
(2,-8)
(3,-6)
(4,-4)
(5,-2)
(6,0)
etc..
six friends share 4 apples equally. How much apples does each friend friend get?
A trapezoid has a base of 4yds a base of 8 yd and a height of 2 yd. What is the area
Answer:
12yd²
Step-by-step explanation:
Answer:N
4 x 8 x2 = 64
Step-by-step explanation:
YNYNYNYN
MULTIPLE CHOICE PLS ANSWER
Answer:
Option.B
Step-by-step explanation:
Its because if you add these two angles you get a supplementary angle or 180°
Using this we can form an equation to find the value of x.
(Hope this answer helps :))
(And is this question from Khan Academy?)
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
Answer:
0.15 = 15% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Uniformly distributed between 0 and 5 minutes.
This means that [tex]a = 0, b = 5[/tex]
Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
[tex]P(X > 4.25) = \frac{5 - 4.25}{5 - 0} = 0.15[/tex]
0.15 = 15% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
Tyshawn drew a two-dimensional shape. The shape had multiple sides. The
shape had only right angles. There are two pairs of parallel lines. One pair is 4 inches
long and one pair in 2 inches long. What shape could Tyshawn have drawn?
Answer:
Rectangle
Step-by-step explanation:
2 inches × 2 sides and 4 inches × 2 sides = a rectangle
Eric's goal is to walk 2.75 miles to and from the park every day for an entire year. If he meets his goal, how many miles will Eric walk?
The 100th term of 80, 110, 140
Answer: 3050
formula: [tex]a_{n} =a_{1}+(n-1)*d[/tex]
80+99*30=3050
what is the length of ML
first, find the circumference of the circle
2πr = 2π × 5
= 31.42 ft
then multiply the circumference with the angle given which is 50° divided by 360°.
31.42 × 50 ÷ 360 = 4.36 ft
answer = 4.36 ft
also can I get brainliest...plsss
Complete the statement using <, >, or =.
20% of 30 ___30% of 40
Answer:
20% of 30 < 30% of 40
Step-by-step explanation:
Find 20% of 30
20/100 = x/30
Cross multiply
20 × 30 = 100 × x
600 = 100x
Divide both sides by 100
6 = x
Find 30% of 40
30/100 = x/40
Cross multiply
30 × 40 = 100 × x
1200 = 100x
Divide both sides by 100
12 = x
Compare the two answers:
6 and 12
6 < 12
2 3/5 x 1 2/5=
Pls do explain it. Thanks in advance
Answer:
2×3\5×2\5=60
Step-by-step explanation:
first of all do multiply then cut both 5 and at last divide the Answer comes 60
There were 56 signers of the Declaration of Independence. The circle graph shows their occupations.
Based on the graph, it could be inferred that —
Answer Choices
A. Merchants were too busy to be involved in independence.
B. Only a few farmers were interested in independence.
C. Most of the signers had some familiarity with the law.
D. Most of the signers were not interested in medicine.
Answer:Step-by-step explanation: