Answer:
The equation [tex]-4x^2+10x-8[/tex] does not have any real zeroes.
Step-by-step explanation:
The given equation is [tex]-4x^2+10x-8[/tex].
Let us compare it with standard quadratic equation [tex]ax^2+bx+c[/tex]
a = -4
b = 10
c = -8
The nature of zeroes is determined by Discriminant 'D'.
1. If D = 0, the quadratic equation has two equal real zeroes.
2. If D > 0, the quadratic equation has two unequal real zeroes.
3. If D < 0, the quadratic equation has two non-real or imaginary zeroes.
Formula for D is:
[tex]D=b^{2} -4ac[/tex]
Putting the values of a, b and c to find D:
[tex]\Rightarrow 10^2 - 4(-4)(-8)\\\Rightarrow 10^2 - 4(4)(8)\\\Rightarrow 100 - 4(32)\\\Rightarrow 100 - 128\\\Rightarrow D = -28[/tex]
Here, D is negative so the zeroes of this quadratic equation are imaginary.
Hence, no real zeroes for the given equation [tex]-4x^2+10x-8[/tex].
find the rate of change
“Rate of change” means the same as “slope.”
In algebra, we use the word "slope" to describe how steep a line
is and slope can be found using the ratio rise/run between
any two points that are on that line.
Starting from the point that has the coordinate (-1, -1),
we rise go 1 unit down so our rise is -1 and run 3 units.
So our slope or rise/run is -1/3.
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
n=7, x=3, p=0.65
Answer:
P(X = 3) = 0.1442
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
In this problem we have that:
[tex]n = 7, p = 0.65[/tex]
We have to find P(X = 3).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{7,3}.(0.65)^{3}.(0.35)^{4} = 0.1442[/tex]
The weights of beagles have a mean of 25 pounds and a standard deviation of 3 pounds. A random sample of 50 beagles is collected. What is the probability that a sample of this size has a mean weight below 26 pounds?
Answer:
[tex] z =\frac{26-25}{\frac{3}{\sqrt{50}}}= 2.357[/tex]
And we can find the probability using the normal distribution table and we got:
[tex] P(z<2.357) =0.9908[/tex]
Step-by-step explanation:
Let X the random variable of interest and we can find the parameters:
[tex] \mu =25, \sigma= 3[/tex]
And for this case we select a sample size n =50. And since the sample size is higher than 30 we can use the central limit theorem and the distribution for the sample mean would be given by:
[tex] \bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})[/tex]
We want to find the following probability:
[tex] P(\bar X <26)[/tex]
And we can use the z score formula given by:
[tex] z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
And replacing we got:
[tex] z =\frac{26-25}{\frac{3}{\sqrt{50}}}= 2.357[/tex]
And we can find the probability using the normal distribution table and we got:
[tex] P(z<2.357) =0.9908[/tex]
Find the lateral area of a regular square pyramid if the base edges are of length 12 and the perpendicular height is 8.
Answer:
Lateral area of the pyramid = 120 square units
Step-by-step explanation:
In the figure attached,
A pyramid has been given with square base with edges of 12 units and perpendicular height as 8 units.
Lateral area of a pyramid = Area of the lateral sides
Area of one lateral side = [tex]\frac{1}{2}(\text{Base})(\text{Lateral height})[/tex]
= [tex]\frac{1}{2}(\frac{b}{2})(\sqrt{(\frac{b}{2})^2+h^2})[/tex] [Since l = [tex]\sqrt{r^{2}+h^{2}}[/tex]]
= [tex]\frac{1}{2}(6)(\sqrt{6^2+8^2})[/tex]
= [tex]3\sqrt{100}[/tex]
= 30 units²
Now lateral area of the pyramid = 4 × 30 = 120 square units
Answer: 240 units^2
Step-by-step explanation:
LA= 1/2 Pl
P= perimeter of base
l= lateral height
l= 8^2 + (12/2)^2 = 10^2
P= 12 x 4 = 48
48 x 10 = 480
480/2 = 240
240 units^2
Bruce has a pet worm that fell in a well. The well is 37 feet deep. Each day the worm climbs up 7 feet, but each night, It slides back down 2 feet. How many days will it take for Bruce's worm to get to the top of the well?
Answer:
7 days
Step-by-step explanation:
On the last day, the pet worm will climb 7 feet and reach the top without sliding back down, so the pet worm will be 30 feet high on that day.
Before that day, the worm climbs 7 feet and slides down 2 feet, meaning the worm rises 5 feet per day.
30 feet / (5 feet/day) = 6 days
It takes the worm 6 days to reach a height of 30 feet. So on the 7th day, the worm gets to the top of the well.
A market research company conducted a survey of two groups of students from different schools. They found that students from school A spent an average of 90 minutes studying daily, while the students from school B spent an average of 75 minutes daily.
They want to find out if the difference in the mean times spent studying by the students of the two schools is statistically significant.
Which of the following sets shows the correct null hypothesis and alternative hypothesis?
1. Null Hypothesis: There is at least some difference in the mean times spent by the schools' students.
2. Alternative Hypothesis: The students from school B spend more time studying than the students from school A.
3. Null Hypothesis: School B students spend more time studying than School A.
4. Alternative Hypothesis: The difference in the mean times spent by the schools' students is 15 minutes.
Null Hypothesis: There is no difference in the mean times spent by the schools' students.
Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.
Null Hypothesis: The difference in the mean times spent by the schools' students is 15 minutes.
Alternative Hypothesis: There is no difference in the mean times spent by the schools' students.
Answer:
Step-by-step explanation:
Since they want to find out if the difference in the mean times spent studying by the students of the two schools is statistically significant, it means that it is a two directional test. Also called a two tailed test. The hypothesis would be as follows:
Null Hypothesis: There is no difference in the mean times spent by the schools' students.
Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.
By using the appropriate symbols, it becomes
The null hypothesis is
H0 : μa = μb H0 : μa - μb = 0
The alternative hypothesis is
Ha : μa ≠ μb Ha : μa - μb ≠ 0
Find an equation of the plane. The plane through the points (0, 7, 7), (7, 0, 7), and (7, 7, 0).
Answer:
x + y + z = 14
Step-by-step explanation:
If the points are designated A, B, C, then ...
AB × AC = (7, -7, 0) × (7, 0, -7) = (49, 49, 49).
That is, a vector perpendicular to the plane is (1, 1, 1), so the equation of the plane can be ...
(1, 1, 1)·(x, y, z) = (1, 1, 1)·A
x + y + z = 14
An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 250 vans, they found a mean MPG of 47.0. Assume the population standard deviation is known to be 1.9. A level of significance of 0.02 will be used.
A. Find the value of the test statistic.
B. State the null and alternative hypotheses.
Answer:
A
The test statistics is [tex]t = -1.7[/tex]
B
The Null and Alternative hypothesis are
[tex]H_o : \mu = 47.2[/tex] and [tex]H_a : \mu \ne 47.2[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 47.2 miles/gallon(MPG)[/tex]
The sample size is [tex]n = 250 \ van[/tex]
The sample mean is [tex]\= x = 47.0[/tex]
The sample standard deviation is [tex]\sigma = 1.9[/tex]
The level of significance is [tex]\alpha = 0.02[/tex]
Given that the value which the manufacturer gave the automobile is 47.2 and it is believed that this is not correct, then
The Null Hypothesis is
[tex]H_o : \mu = 47.2[/tex]
The alternative Hypothesis is
[tex]H_a : \mu \ne 47.2[/tex]
The test statistics can be mathematically evaluated as
[tex]t = \frac{\= x- \mu}{\frac{\sigma }{\sqrt{n} } }[/tex]
substituting values
[tex]t = \frac{\= 47- 47.2}{\frac{1.9 }{\sqrt{250} } }[/tex]
[tex]t = -1.7[/tex]
- 4/9+7/12+- 3/8=how solve it
Answer:
-17/72
Step-by-step explanation:
-4/9 + 7/12 + (-3/8) =
We need a common denominator. The least common multiple of 9, 12, and 8 is 72.
= -4/9 * 8/8 + 7/12 * 6/6 + (-3/8) * 9/9
= -32/72 + 42/72 - 27/72
= 10/72 - 27/72
= -17/72
Answer:
Your correct answer is 17/72
If f(x) = 4x – 8 and g(x) = 5x + 6, find (f - g)(x).
Answer:
(f - g)(x) = -x - 14
Step-by-step explanation:
Step 1: Plug in equations
4x - 8 - (5x + 6)
Step 2; Distribute negative
4x - 8 - 5x - 6
Step 3: Combine like terms
-x - 14
Answer:
-x-14
Step-by-step explanation:
Hope this helps
How to read a ruler?
Answer:
Look at the numbers on the sides. If they are not spaced out very far, it's centimeters. If they are spaced out very far, it's inches
Step-by-step explanation:
this is how you read a ruler
Answer:
Start at 0
Step-by-step explanation:
Start at 0, then see how far the object goes.
If the coefficient of realism alpha equals 1, then the criterion of realism will yield the same result as the maximax criterion.
A. True
B. False
Answer:
True
Step-by-step explanation:
Coefficient of realism called alpha which is a decimal number between 0 and 1. This number provides the optimistic view. The number 1 - [tex]\alpha[/tex] is amount of emphasis that is placed in pessimistic outcome. If the coefficient of realism alpha is 1 then criterion of realism will yield same result as maxi max criterion.
Marko drovev75mile in 1 1/2 hours .how many mile can he he drive in 1 hour
Answer: 50 miles
Step-by-step explanation:
75 miles in one and half hours.
That's 25 miles per half hour
So, in 1 hour, he will drive 50 miles
Jason is collecting data on the number of books students read each year. What type of data is this?
a. Qualitative
b. Discrete quantitative
c. Continuous quantitative
d. None of the above
Answer:
b. Discrete quantitative
Step-by-step explanation:
Hope that helps
The type of data is Discrete data.
What is Discrete data?Discrete data is information that can only take certain values. These values don't have to be whole numbers (a child might have a shoe size of 3.5 or a company may make a profit of £3456.25 for example) but they are fixed values – a child cannot have a shoe size of 3.72!
When values in a data set are countable and can only take certain values, it is called discrete data.
For example, number of students in a class, number of players required in a team, Number of players participated in a race, etc
We can easily count the variables in a discrete data.
Hence, type of data is Discrete data.
Learn more about Discrete data here:
https://brainly.com/question/13421250
#SPJ2
Keiko sold 3 less than three-fourths of his sister’s sales. Which expression represents what Keiko sold?
3/4x - 3
3/4x + 3
3x + 3/4
3x - 3/4
[tex]\frac{3}{4} x-3[/tex]
An algebraic expression is an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.
Three-fourths is denoted by [tex]\frac{3}{4} [/tex]
Let sales of Keiko's sister be [tex]x[/tex]
Also, Keiko sold [tex]3[/tex] less than three-fourths of his sister’s sales.
So, an expression that represents what Keiko sold is given by [tex]\frac{3}{4} x-3[/tex]
For more information:
https://brainly.com/question/11227332?referrer=searchResults
College students were given three choices of pizza toppings and asked to choose one favorite Results are shown in the table toppings Sremam 15 24 28 28 15 1 11 23 28 cheese meat 23 15 veggie Estimate the probability that a randomly selected student who is a junior or senior prefers veggie. Round the answer to the nearest thousandth
A. 371
B. 220
C. 395
D. 662
Answer:
B. 0.220
Step-by-step explanation:
The table is presented properly below:
[tex]\left|\begin{array}{c|cccc|c}$toppings&$Freshman&$Sophomore&$Junior&$Senior&$Total\\---&---&---&---&---&---\\$Cheese&11&15&24&28&78\\$Meat&23&28&15&11&77\\$Veggie&15&11&23&28&77\\---&---&---&---&---&---\\$Total&&&&&232\end{array}\right|[/tex]
Number of junior students who prefers veggies =23
Number of senior students who prefers veggies =28
Total =23+28=51
Therefore, the probability that a randomly selected student who is a junior or senior prefers veggie
=51/232
=0.220 (to the nearest thousandth)
The correct option is B.
(a) Which unit fraction 1/n for n s 50 has the decimal expansion of longest period?
(b) Justify your reasoning
Answer:
0.02
Step-by-step explanation:
If n is 50, 1/n is equivalent to 1/50. 1/50 as a decimal is 0.02.
Which inequality is represented by the graph?
Answer:
y <= (2/5)x - 3/2
Step-by-step explanation:
y-intercept is -3/2
slope = 2/5
shading is below the line
Answer: y <= (2/5)x - 3/2
Find the area of the irregular figure. Round to the nearest hundredth
Answer:
total area = 100
Step-by-step explanation:
10 x 4 = 40
1/2 * 6 * 10 = 30 ( x 2 triangle) = 60
total area = 40 + 60
total area = 100
A restaurant offers a $12 dinner special that has 7 choices for an appetizer, choices for an entrée, and 3 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?
Answer:
21x,
where x = number of entrees
Step-by-step explanation:
appetizer choices: 7
choices for an entree: x
choice for dessert: 3
Total number of combinations:
7 * x * 3 = 21x
Since the number of choices of entrees is missing, the best answer you can get is 21x, where x is the number of entrees.
Replace x with the number of entrees to get your final answer.
Not sure how to solve
Answer:
B. zero
Step-by-step explanation:
The slope of a line can be computed as ...
slope = rise/run
When the line is horizontal, the "rise" is zero over any "run", so the slope is zero.
what is the answer?!?!??!
Answer:
Option D
Step-by-step explanation:
It forms a linear pair (Angles on a straight line) with one of the interior angles of the triangle.
Answer:
D
Step-by-step explanation:
A linear pair of angles is when two angles add up to 180 degrees on a line.
Interior angles and exterior angles form a linear pair.
Wat is the greatest common factor of 20 and 36
Answer:
20=1,2,4,5,10,2036=1,2,3,4,6,9,36Answer:- 4Answer:
GCF = 4
Step-by-step explanation:
Factors of 20 = 1,2,4,5,10 and 20
Factors of 36 = 1,2,3,4,6,9,12,18 and 36
Greatest factor which is common = 4
PLEASEE I NEED HELP!!
Determine whether each number is part of the solution set of x < 3.9.
x=41
Part of the Solution Set
Not Part of the Solution Set
x= -3.9
x= 3.9
x=4
x = 4,3
X=38
Answer:
Part of the solution set :
x = -3.9x = 3.9x = 3.8Not part of the solution set :
x = 4.1x = 4x = 4.3Step-by-step explanation:
Given that x must be smaller or equal to 3.9 .
So any number that is greater than 3.9 will not be part of the set of x.
A biologist samples and measures the length of the fish in a lake. What is the level of measurement of the data?
Answer:Ratio
Step-by-step explanation:
The ratio data because length has a true zero, and ratios of lengths are meaningful.
three night guard A, B and C blow their whistles at intervals of 8, 15 and 18 mins respectively, if they blow at 11.00pm, when next are they expected to blow together
Answer:
5:00 AM
Solution:
we will have to find the lowest common multiple of 8 , 5 and 18.
Since they blow their whistles once every 8/5/18 minutes.. you can imagine it as the multiplication table for these numbers. The number on which all three overlap, is the LCM and hence the amount of time after they will blow their whistles together.
The LCM is 360
therefore, the guards will blow their whistles together 360 minutes after 11:00pm
360 minutes = 6 hours
6 hours after 11: 5:00AM
Answer:
Hey!
Your answer is 5:00 am!
Step-by-step explanation:
1) Find the LCM of 8, 15, 18...360
2) 360 mins = 6 hours
3) 11:00 pm + 6 hours = 5:00 am
Hope this helps!
A transformation of ΔDEF results in ΔD'E'F'. Which transformation maps the pre-image to the image? A. The transformation is a dilation. B. The transformation is a reflection. C. The transformation is a rotation. D. The transformation is a translation.
Answer:
C
Step-by-step explanation:
It can’t be a dilation, as it’s the same size. There is no way to reflect it and have it end up there. It’s not just a slide (translation). Only if you rotate it will it work.
Answer:
rotation
Step-by-step explanation:
If the ratio of red hairbands to green hair bands is 5 to 9 with a total of 70 hairbands, how many of them are green?
Answer:
45
Step-by-step explanation:
This can be written as 5r:9g. Add 5 and 9 to get the total of 14. You can write a ratio of 9 green: (out of) 14 total = x green: (out of) 70 total. Multiply 9 and 14 by 7 to get 45:70. Therefore, if there are 70 hairbands, 45 are green.
CAN ANYONE HELP AT ALL? The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $3, sales will reach 8000 Fun Noodles per day during the summer. Raising the price to $6 will cause the sales to fall to 5000 Fun Noodles per day. PREDICT THE NUMBER OF SALES IF PRICE IS $3.50. (it's not 6,000)
Answer:
7500
Step-by-step explanation:
At the price of $3, they will have 8000 sales. (3, 8000)
At the price of $6, they will have 5000 sales. (6, 5000)
You can use the information to create an equation. Use the points above to find a slope.
8000 - 5000 = 3000
3 - 6 = -3
3000/-3 = -1000
The slope is -1000.
Plug the slope into the point-slope equation along with one of the above points.
y - y₁ = m(x₁ - x)
y - 8000 = -1000(x - 3)
y - 8000 = -1000x + 3000
y = -1000x + 11000
Now that you have an equation, plug in the price into the x-value to find the number of sales you will get.
y = -1000x + 11000
y = -1000(3.50) + 11000
y = -3500 + 11000
y = 7500
You will have 7500 sales.
Answer:
7500
Step-by-step explanation:
Find the perimeter of the following trapezoid:
6 ft
2.5 ft/ 12 ft
2.5 ft
8 ft
Answer:
31ft
Step-by-step explanation:
6 ft + 2.5 ft + 12 ft + 2.5 ft + 8 ft = 31ft
I assumed the slash in the space between 2.5ft and 12ft was an error, so I ignored it in the solution to this problem.
Besides that, perimeter is found by adding all sides of the shape or figure together, and the sum of that is the perimeter.
The basic formula for perimeter is:
base + height + base + height.
I do not think you square perimeter as you do area (e.g. 31ft^2).