Answer:
See explanations below
Step-by-step explanation:
Given the polynomial function
P(x) = X^2+3x-10
To check whether x-2 and x+5 are factor, we will find x and then show that P(x) = 0
For x-2
x - 2 = 0
x =2
P(2) = 2²+3(2)-10
P(2) = 4+6 -10
P(2) = 10-10
P(2) = 0
Since the remainder is zero, hence x-2 is a factor of the polynomial
Similarly for x+5;
x+5 = 0
x = -5
P(-5) = (-5)²+3(-5)-10
P(-5) = 25-15-10
P(-5) = 10-10
P(-5) = 0
This also shows that x+5 is a factor
Can someone show me what is 5% of 34 and show me how to breakdown the equation?
Help me please...........
Answer: Between A, B, C, or D
Step-by-step explanation: Hope this helps!
Simplify.
15 – (–3) – 4
–16
–8
14
22
Answer:
14
Step-by-step explanation:
Two negatives equal a positive so
15+3-4
In order we solve from left to right
18-4
14
Our answer is 14!
Complete the table, and graph the pairs of values.
In a random sample of 60 computers, the mean repair cost was $150. Assume the population standard deviation is $36. Construct a 95% confidence interval for the population mean.
Answer:
The 95% confidence interval for the population mean is between $140.89 and $159.11.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{36}{\sqrt{150}} = 9.11[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 150 - 9.11 = $140.89
The upper end of the interval is the sample mean added to M. So it is 150 + 9.11 = $159.11
The 95% confidence interval for the population mean is between $140.89 and $159.11.
HELP PLEASEEE
The table shows the relationship between the number of sunflower seeds and the number of packages of sunflower seeds.
Which rule describes the values in the table?
Number of Seeds, x 15 30 45 60
Number of Packages, y 1 2 3 4
Answer:
Step-by-step explanation:
Help me
Answer:
y=15+x
Step-by-step explanation:
Which one has the exact same amount of coins as the one above?
Answer:
its b
count them!
Answer:B
Step-by-step explanation:
I am pretty sure it is b
80.5% of 136 robots on an assembly line will be approved by the quality-control inspector. Write and solve a proportion to find how many robots will be approved.
Answer:595 will be approved
Step-by-step explanation:
The number of 109 of robots will be approved by the quality-control inspector.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
80.5% of 136 robots on an assembly line will be approved by the quality-control inspector.
Let n number of robots will be approved.
n = 80.5% of 136
n = 80.5 x 136 /100
n = 109.48
n ≈ 109.
Therefore, 109 robots will be approved.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
Will give brainliest
Answer: 1) on the x axis.
Step-by-step explanation:
Every coordinate ,where y is 0, lies on the x axis.
I don't know how to do this
What is the volume of the figure? Enter the answer in the box.
Answer:
18*8*10= 1440
Step-by-step explanation:
volume L*W*H
Volume 18 m * 8 m *10 m
Volume= 1440
Volume= 9 m *5 m *24 m
Volume= 1080
1080 + 1440 = 2520 m
Why is the median resistant, but the mean is not?
Choose the correct answer below.
A.
The median is resistant, while the mean is not, because when there are extreme values in the tail, the value of the median changes while the mean does not.
B.
The mean is not resistant because when data are skewed, there are extreme values in the tail, which tend to pull the mean in the direction of the tail. The median is resistant because the median of a variable is the value that lies in the middle of the data when arranged in ascending order and does not depend on the extreme values of the data.
C.
The mean is not resistant because when data are skewed, there are extreme values in the tail, which do not pull the mean in that direction. However, the median is pulled in the direction of the extreme values, making it resistant.
D.
The mean is not resistant because it is dependent upon the sample size, n. The larger n is, the smaller the mean becomes. However, the median is resistant because it is not dependent on the sample size, n.
Using the concepts of the mean and the median, the correct option is given by:
B.
The mean is not resistant because when data are skewed, there are extreme values in the tail, which tend to pull the mean in the direction of the tail. The median is resistant because the median of a variable is the value that lies in the middle of the data when arranged in ascending order and does not depend on the extreme values of the data.
-------------------
The mean of a data-set is given by the sum of all of the values in the data-set divided by the cardinality of the data-set, that is, the number of values it has.The median is the 50th percentile, that is, the measure that splits the data-set, when sorted ascendingly, in half, one-half having the lower 50% of the measures, and the other having the upper 50%.From this, we can conclude that since the mean involves all values, it can be affected by outliers, which are values on the tails, while the median is not.Thus, the correct option, which states the bullet point above, is option b.A similar problem is given at https://brainly.com/question/24097242
PRACTICE ANOTHER A normal distribution has a mean of 69 and a standard deviation of 15. What is the median
Answer:
69
Step-by-step explanation:
Here, we are interested in getting the median of the distribution
Mathematically, if we are talking about a moral distribution, we have equal values for median, mode and mean
Hence the median in this case will be 69
Let r = 0 and s be an irrational number. Is r. s rational or irrational?
Answer:
r.s will be a rational number. Because if you multiply something with 0, the answer will always be 0. & 0 is a rational number
Step-by-step explanation:
Given the following diagram, which of the following equations is correct?
х
25°
4
4
т
4.
cos(25)
sin (25)
sin(25
cos ( 1 ) = 25
4
16) Diane wants to plant bushes around the edge of a round flower garden. The radz of the garden z 10 Hen many bushes should she buy it she wants to plant one cvery two feet? OA) 16 -B) 21 OC) 33 OD) 173 OE) 45
Answer:
perimeter of circle=2πr=2π(10)=20π=3.14×20=62.8.
Step-by-step explanation:
62.8/2=31.4 bushes~ 33 bushes (OC)
Raul simplified the expression, as shown below.
–[3h + 7h(2 – h)] = –[10h(2 – h)] = –[20h – h] = –19h
Describe the error(s) in Raul’s work.
Answer:
Raul's errors are in the application of the distributive property(he applied it wrongly), in not respecting the precedence of operations, and in the multiplication of two terms with the same base(we add the exponent).
Step-by-step explanation:
Distributive property:
The distributive property of multiplication is:
a*(b + c) = a*b + a*c
Precedence of operations:
First multiplication, then addition.
Multiplication of terms with the same base:
The multiplication of h*h = h², which Raul missed.
The correct simplification is given by:
[tex]-[3h + 7h(2-h)] = -[3h + 14h - 7h^2] = -[17h - 7h^2]=7h^2 - 17h[/tex]
Answer:
he should have worked out 7h(2 - h) first before adding the 3h. (first step)
2nd step he multiplied the 2 by -10h but he also should have multiplied the -h by the -10h ( Distributive law)
Step-by-step explanation:
Got it right on edge
How do you find the foci of an ellipse?
Answer:
Use the formula
Step-by-step explanation:
c2=a2−b2...The formula generally associated with the focus of an ellipse is c2=a2−b2 where c is the distance from the focus to center , a is the distance from the center to a vertex and b is the distance from the center to a co-vetex .
Please help I'm not very bright.
A
Step-by-step explanation:
V=lwh=4•4•2=16•2=32
Aunt Mary had only 2 quarts of milk. How many cups would this be?
A.
4 cups
B.
5 cups
C.
6 cups
D.
8 cups
Answer:
8 cups
Step-by-step explanation
8 cups. There are 2 cups in one pint and two pints in one quart. To Get 8 cups all you do is multiple the quartz by 2 to get the amount of pints, and multiply the pints by 2 to get the number of cups. Thus the equation would be 2 * 2 = 4 and 4 * 2 = 8.
Answer:
D. 8 cups
Step-by-step explanation:
1 Quart is 4 cups therefore you multiply
4 x 2 = 8
what is 357 divisible by?
Answer:
4
Step-by-step explanation:
Answer:
1,3,7,17,21,51,119,357
Step-by-step explanation:
I hope this helps, and have a nice day!
What is the value of (-5)~4 please help 20 points!
Answer:
625
Step-by-step explanation:
(-5)(-5)(-5)(-5) = 625
Use the geometric mean (altitude) theorem. What is the value of m?
Answer:4
Step-by-step explanation:
Answer:
Correct answer is c
Step-by-step explanation:
just took the test
What is 1+1x29x78... Help
Answer:
2263
Step-by-step explanation:
1 + 1 x 29 x 78
1 + 29 x 78
1 + 2262
2263
What is the constant rate of change ? y=4.5x+23
Answer:
4.5 i believe
Step-by-step explanation:
A storage bin in the corner of Joe’s room has the dimensions shown below. What is the volume of the bin?
Answer:
36
Step-by-step explanation:
Break it into parts to make it easier. The equation would become 16+12+8 which is 36
Brainliest is highly appreciated and goodluck!
noted psychic was tested for extrasensory perception (ESP). The psychic was presented with 400 cards face down and asked to determine if each of the cards was one of four symbols: a star, cross, circle, or square. The psychic was correct in 120 cases. Let p represent the probability that the psychic correctly identified the symbols on the cards in a random trial. How large a sample n would you need to estimate p with margin of error 0.01 and 95% confidence
Answer:
A sample of 11352 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
For this problem, we have that:
400 cards, 120 cases were correct. So
[tex]p = \frac{120}{400} = 0.3[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large a sample n would you need to estimate p with margin of error 0.01 and 95% confidence
We would need a sample of size n, and n is found when [tex]M = 0.01[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 2.325\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.01\sqrt{n} = 2.325\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{2.325\sqrt{0.3*0.7}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.325\sqrt{0.3*0.7}}{0.01})^2[/tex]
[tex]n = 11351.8[/tex]
Rounding up
A sample of 11352 is needed.
If 3x-18=186 what is the value of x
Answer:
x = 68
Step-by-step explanation:
[tex]3x-18=186\\\\3x=186+18\\\\3x=204\\\\x= \frac{204}{3}\\\\x=68[/tex]
A cheetah ran 3/4 of a mile in 2.5 minutes. At this rate how far can the cheetah run in one minute?
Answer:
0.3 or in fraction form 3/10
Step-by-step explanation:
3/4 = 3/10
2.5 1
Which of the following are the appropriate LaTeX: f\left(x\right)f ( x ) and LaTeX: g\left(x\right)g ( x ), for LaTeX: H\left(x\right)=\cos\left(2x^2-1\right)H ( x ) = cos ( 2 x 2 − 1 ) for LaTeX: H\left(x\right)=\left(f\:\circ\:g\right)\left(x\right)H ( x ) = ( f ∘ g ) ( x )? Group of answer choices
Answer:
[tex]f\left(x\right)=\cos\left(x\right)\: and\:\: g\left(x\right)=\left(2x^2-1\right)[/tex]
Step-by-step explanation:
We have, [tex]H\left(x\right)=\cos\left(2x^2-1\right)H ( x )[/tex]
[tex]=\cos\left(2x^2-1\right)[/tex]
And [tex]H\left(x\right)=\left(f\:\circ\:g\right)\left(x\right)H ( x ) = \left(f\:\circ\:g\right)( x )[/tex]
[tex]\Rightarrow \left(f\:\circ\:g\right)(x)=\cos\left(2x^2-1\right)[/tex]
Now, [tex]f\left(x\right)=\cos\left(x\right)[/tex] and [tex]g\left(x\right)=\left(2x^2-1\right)[/tex]