Answer:
Step-by-step explanation:
Given a sample of seven admission test scores for a professional school listed 11.3, 10.6, 11.7, 9.7, 11.7, 9.5 and 11.7, the mean of the numbers is the sum total of the values divided by the total number of admission test score. The mean is as calculated below.
Mean = {11.3 + 10.6 + 11.7 + 9.7 + 11.7 + 9.5 + 11.7}/7
Mean = 76.2/7
Mean = 10.9
The mean score is 10.9 to 1 decimal place.
Note that the mean does not represent the centre of the data. It represents the average value of the datas. The mean does not represent the center because it is not a data value. The mean will give a value that is different from the values given in the data.
b) The median score is the score in the centre after re-arrangement. The arrangement can either be ascending or descending order. On re-arranging in ascending order;
9.5, 9.7, 10.6, (11.3), 11.7, 11.7, 11.7
After rearranging, it can be seen that the number at the centre of the data is 11.3, hence the median score is 11.3.
The median represents the center
c) The mode is the scores that occurs most. According to the data given, the score that occur most is 11.7. The score occurs the highest number of times (3 times) compare to other scores in the data. Hence, the modal score is 11.7.
The mode(s) does (do) not represent the center because it (one) is the largest data value.
A housepainter mixed 3 1/2 pints of blue paint in a bucket with 1 1/6 pints of white paint. How much paint was in the bucket? The answer should be written as a proper mixed number and should be simplified, if possible.
Answer:
4 2/3 :)
Step-by-step explanation:
The total paint in the bucket in the simplified mixed fraction is [tex]6\frac{2}{3}[/tex] pints.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A housepainter mixed [tex]3\frac{1}{2}[/tex] pints of blue paint in a bucket with [tex]1\frac{1}{6}[/tex] pints of white paint.
So, The total paint in the bucket is the sum of the pints of both paints which
is, = [tex](3\frac{1}{2} + 1\frac{1}{6})[/tex] pints.
[tex]= (\frac{7}{2} + \frac{7}{6})[/tex] pints.
[tex]= \frac{21 + 7}{6}[/tex] pints.
[tex]= \frac{28}{6}[/tex] pints.
[tex]= 6\frac{2}{3}[/tex] pints.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
After collecting the data, Peter finds that the standardized test scores of the students in a school are normally distributed with mean 85 points and standard deviation 3 points. Use the Empirical Rule to find the probability that a randomly selected student's score is greater than 76 points. Provide the final answer as a percent rounded to two decimal places.
Answer:
Step-by-step explanation:
Given that:
the standardized test scores of the students in a school are normally distributed with:
mean = 85 points
standard deviation = 3 points
Using the empirical rule:
=85 - (3 × 3)
= 85 - 9
= 76
The given value of 76 points is 3 standard deviations below mean
Therefore;
the percent score between the given value of 76 points and the mean 85 points is:
99.7/2 = 49.85% ( since 99.7 data value lies within 3 standard deviation)
Also ; the percent of value above the mean score = 50%
Therefore, the probability that a student's score is greater than 76 points is
= (49.85 + 50 )%
= 99.85%
Answer:
mean=85
sd=3
85-3*3=76
its between 76 and 85=99.7/2=49.85%
50% mean above.
49.85+50=99.85%
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words. Jim is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends. The average number of visits on the website for 5 weeks is given in the table below. Number of Weeks Avg. Number of Visits 0 48,000 1 24,000 2 12,000 3 6,000 4 3,000 5 1,500 The initial number of visits to the website was . The percent decrease from 4th week to 5th week was %. The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was
Answer:
48,00050%1500Step-by-step explanation:
The table is easier to read if formatted more like a table:
Number of Weeks Avg. Number of Visits
0 48,000
1 24,000
2 12,000
3 6,000
4 3,000
5 1,500
__
The initial number of visits to the website was 48,000. -- the value for week 0.
The percent decrease from 4th week to 5th week was 50%. ((new/old) -1)·100% = (1500/3000 -1)·100% = -50%
The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was 1,500. (the number in the 5th week)
What is x when: |5x|=3
Answer:
3/5
Step-by-step explanation:
5x= 3
x= 3/5
hope you understand the answer
stay at home stay safe
keep rocking
pls mark me as BRAINLIEST
Determine the value of X. 30 POINTS
you can use the value of sin\
sin(theta) = 12/16
Now solve for theta, and do inverse sine
so theta would be 48.59037789 , or around 50 degrees
Answer:
48.59°Step-by-step explanation:
Since, it is a right triangle.
Perpendicular (p) = 12
hypotenuse ( h) = 16
now,
[tex]sin \: (x \: degree) = \frac{perpendicular}{hypotenuse} [/tex]
[tex]sin \: x \: = \frac{12}{16} [/tex]
[tex] x = {sin}^{ - 1} ( \frac{12}{16} )[/tex]
[tex]x = 48.59 \: degree[/tex]
hope this helps...
good luck on your assignment..
Rachel is a software saleswoman. Her base salary is $1900, and she makes an additional $110 for every copy of English is Fun she sells. Let P represent her total pay (in dollars), and let N represent the number of copies of English is Fun she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 24 copies of English is Fun.
Answer:
P = 110N + 1,900.
$4,540.
Step-by-step explanation:
Her base salary is $1,900, so your constant/y-intercept for the equation is $1,900.
She makes an additional $110 for each copy, so your slope is $110.
P (the total pay) = 110 * the number of copies sold + 1,900
P = 110N + 1,900.
She sells 24 copies.
P = 110 * 24 + 1,900
P = 2,640 + 1,900
P = 4,540.
So, her total pay is $4,540.
Hope this helps!
A magazine provided results from a poll of 2000 adults who were asked to identify their favorite pie. Among the 2000 respondents, 11% chose chocolate pie, and the margin of error was given as plus or minus5 percentage points. What values do ModifyingAbove p with caret, ModifyingAbove q with caret, n, E, and p represent? If the confidence level is 95%, what is the value of alpha?
Answer:
[tex]\r p = 0.11[/tex]
[tex]\r q = 0.89[/tex]
n = 2000
[tex]E = \pm 5[/tex]
p - population proportion
[tex]\alpha = 5[/tex]%
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 2000[/tex]
The proportion of the population for chocolate pie is [tex]p_c = 0.11[/tex]
The margin of error is [tex]E = \pm 5[/tex]%
Now in the question we are asked to provide the meaning of
[tex]\r p , \r q , n , E , and\ p[/tex]
Now [tex]\r p[/tex] is the sample proportion of the population that those chocolate pie as favorite pie of which is given from the question as 0.11
Now
[tex]\r q[/tex] is the sample proportion of the population that choose other pies apart from chocolate pie as their favorite and it is evaluated as
[tex]\r q = 1 - \r p[/tex]
[tex]\r q = 1 - 0.11[/tex]
[tex]\r q = 0.89[/tex]
n is the sample size which is given as n = 2000
E is the margin of error which given as [tex]E = \pm 5[/tex]%
p is the population proportion
Given that the confidence level is 95 % then the level of significance is mathematically evaluated as
[tex]\alpha =(100 - 95)[/tex]%
[tex]\alpha =[/tex]5%
determining probability of events. please help!
what is the standard form for these 2 quadratic equations ASAPP!!!!
Problem 3
Answer: y = x^2 - 7x + 10----------
Work Shown:
Use either the FOIL method, distributive property, or the box method to get the following
(x-2)*(x-5) = x^2 - 5x - 2x + 10 = x^2 - 7x + 10
==========================================
Problem 4
Answer: y = x^2 - x - 6----------
Work Shown:
Same idea as problem 3 above
(x-3)(x+2) = x^2+2x-3x-6 = x^2 - x - 6
Answer:
3. y = x² - 7x + 10
4. y = x² - x - 6
Step-by-step explanation:
Circle A has center of (4,6) and a radius of 5, and circle B has a center of (1,0) and a radius of 15. What steps will help show that circle A is similar to circle B? Dilate circle Dilate circle A by a scale factor of 3. translate Circle A using the rule (x - 3, y + 6). Rotate circle A 180° about the center. reflect circle A over the y-axis.
The answer is A. Dilate circle A by a scale factor of 3
I took the test :)
Find the mean and standard deviation for each binomial random variable:
Answer: a) Mean = [tex]=37.80[/tex]
Standard deviation=[tex]=1.9442[/tex]
b) Mean = [tex]56.00[/tex]
Standard deviation=[tex]4.0988[/tex]
c) Mean = [tex]=24[/tex]
Standard deviation=[tex]2.4495[/tex]
Step-by-step explanation:
To compute Mean and standard deviation , we use following formula:
Mean = [tex]n\pi[/tex]
Standard deviation=[tex]\sqrt{n\pi(1-\pi)}[/tex]
a. [tex]n=42,\ \pi=0.90[/tex]
Mean = [tex]42\times0.90=37.80[/tex]
Standard deviation=[tex]\sqrt{42(0.90)(0.10)}=\sqrt{3.78}\approx1.9442[/tex]
b. [tex]n=80,\ \pi=0.70[/tex]
Mean = [tex]80\times0.70=56.00[/tex]
Standard deviation=[tex]\sqrt{80(0.70)(0.30)}=\sqrt{16.8}\approx4.0988[/tex]
c. [tex]n=32,\ \pi=0.75[/tex]
Mean = [tex]32\times0.75=24[/tex]
Standard deviation=[tex]\sqrt{32(0.75)(0.25)}=\sqrt{6}\approx2.4495[/tex]
A formal hypothesis test is to be conducted using the claim that the mean AC thermostat setting in restaurants is equal to 74degrees°F. What is the null hypothesis and how is it denoted?
Answer:
[tex]A. H_o: \mu = 74 ^{\circ} F[/tex]
Step-by-step explanation:
A null hypothesis refers to the hypothesis in which there is no important difference taken place and it is used in statistics and it also does not have any relation between the two measured events or variables or group association
It can be denoted by
[tex]A. H_o: \mu = 74 ^{\circ} F[/tex]
Therefore the above null hypothesis is the correct answer
use the cubic model y=x^3+x^2+x to estimate the value of y when x = 10. a 910 b. 110 c. 1210 d. 3150
Answer:
y = 1110
Step-by-step explanation:
In the above question, we are given the cubic model
y=x³ +x² + x
We are to solve for y when x = 10
Hence,
y = 10³ + 10² + 10
y = 1000 + 100 + 10
y = 1110
Therefore, the value of y when x is 10 using the cubic model of ' y =x³ +x² + x' is 1110.
A newspaper reported that 4040% of people say that some coffee shops are overpriced. The source of this information was a telephone survey of 5050 adults. a. Identify the population of interest in this study. b. Identify the sample for the study. c. Identify the parameter of interest in the study. d. Find and interpret a 9595% confidence interval for the parameter of interest.
Answer:
a. Identify the population of interest in this study.
all the population of the countryb. Identify the sample for the study.
50 adults (the ones that were surveyed)c. Identify the parameter of interest in the study.
the parameter of interest is the people that believe that coffee shops are overpricedd. Find and interpret a 95% confidence interval for the parameter of interest.
z score for a 95% confidence level = 1.96
margin of error (E) = z score x √{[0.4(1 - 0.4)] / 50} = 1.96 x 0.069282 = 0.13579
95% confidence level interval:
0.4 - 0.13579 = 0.26421
0.4 + 0.13579 = 0.53579
95% confidence interval (0.26421 , 0.53579)
45% of 80.374 is a number between
Answer:
36.1683
Step-by-step explanation:
45*80.374/100=
I need help with this !!
Answer:
A
Step-by-step explanation:
When subtracting 7 on the left of the equation, he also needs to subtract 7 from the right of the equation.
Step 2 should be:
⅓X +7 -7= 15 -7
What he is trying to do here by subtracting 7 is to move all the constants, that is numbers without any variables such as x, to one side of the equation.
⅓X= 8
X= 8 ×3
X= 24
Hommie Delicacies produces two products (Orapine and Banango) from a joint process. The joint cost of production is GH¢80,000. Five thousand units of Orapine can be sold at split-off for GH¢20 per unit or processed further at an additional cost of GH¢20,000 and sold for GH¢25 per unit. Ten thousand units of Banango can be sold at split-off for GH¢15 per unit or processed further at an additional cost of GH¢20,000 and sold for GH¢16 per unit. Advise Hommie on further processing each of the products?
Answer:
Orapine: do additional processingBanango: no additional processingStep-by-step explanation:
The processing cost of split-off Orapine units is ...
GH¢20,000/(5000 units) = GH¢4/unit
The increase in revenue from the further processing is ...
GH¢25 -GH¢20 = GH¢5
The increased processing cost is less than the increased revenue, so there is additional profit from further processing 5000 units.
__
The processing cost of split-off Banango units is ...
GH¢20,000/(10000 units) = GH¢2/unit
The increase in revenue from the further processing is ...
GH¢16 -GH¢15 = GH¢1
The increased processing cost is more than the increased revenue, so the company takes a loss from further processing 10000 units. No additional processing of Banango units should be undertaken.
6t+7−2+t combine the like terms to create an equivalent expression
Answer:
7t+5
Step-by-step explanation:
Answer:
7t +5
Step-by-step explanation:
6t+7−2+t
Combine like terms
6t+t + 7-2
7t +5
if -2x = -14 what is the value of x
Answer: x= 7
Step-by-step explanation:
-2x= -14 Divide both sides by -2
x= 7
check
-2(7) = -14
-14 = -14
Answer:
x = 7
Step-by-step explanation:
-2x = -14
Divide each side by -2
-2x/-2 = -14/-2
x = 7
1,580 milliliters (mL) is equal to how many liter (L)?
Answer:
1.580 Liters
Step-by-step explanation:
We know that 1000 mL = 1 Liter
1580 ml * 1L/1000 ml
1.580 Liters
Answer:
1.58
Step-by-step explanation:
1 milliliter = .001 liter
The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of ten batteries is subjected to an accelerated life test by running them continuously at an elevated temperature until failure, and the following lifetimes (in hours) are obtained: 25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7. The manufacturer wants to be certain that the mean battery life exceeds 25 hours in accelerated lifetime testing.
Construct a 90%, two sided confidence interval on mean life in the accelerated test.
Answer:
The confidence interval is [tex]25.16 < \mu < 26.85[/tex]
Step-by-step explanation:
From the question we are given a data set
25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7.
The mean of the this sample data is
[tex]\= x = \frac{\sum x_i}{n}[/tex]
where is the sample size with values n = 10
[tex]\= x = \frac{25.5+ 26.1+ 26.8+23.2+ 24.2+ 28.4+ 25.0+ 27.8+ 27.3+ 25.7}{10}[/tex]
[tex]\= x = 26[/tex]
The standard deviation is evaluated as
[tex]\sigma = \sqrt{\frac{\sum (x-\= x)}{n} }[/tex]
substituting values
[tex]= \sqrt{\frac{ ( 25.5-26)^2, (26.1-26)^2, (26.8-26)^2, (23.2-26)^2}{10} }[/tex]
[tex]\cdot \ \cdot \ \cdot \sqrt{\frac{ ( 24.2-26)^2, (28.4-26)^2+( 25.0-26)^2+ (27.8-26)^2+( 27.3-26)^2+( 25.7-26)^2}{10} }[/tex]
[tex]\sigma = 1.625[/tex]
The confidence level is given as 90% hence the level of significance is calculated as
[tex]\alpha = 100 -90[/tex]
[tex]\alpha =10[/tex]%
[tex]\alpha = 0.10[/tex]
Now the critical values of [tex]\frac{\alpha }{2}[/tex] is obtained from the normal distribution table as
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
The reason we are obtaining the critical values of [tex]\frac{\alpha }{2}[/tex] instead of [tex]\alpha[/tex] is because we are considering two tails of the area under the normal curve
The margin of error is evaluated as
[tex]MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
substituting values
[tex]MOE = 1.645 * \frac{1.625 }{\sqrt{10} }[/tex]
[tex]MOE = 0.845[/tex]
The 90%, two sided confidence interval is mathematically evaluated as
[tex]\= x - MOE < \mu < \= x + MOE[/tex]
[tex]26 - 0.845 < \mu < 26 + 0.845[/tex]
[tex]25.16 < \mu < 26.85[/tex]
Given that the lower and the upper limit is greater than 25 then we can assure the manufactures that the battery life exceeds 25 hours
Phuong collects Persian and Oriental rugs in a ratio of 3:4. If Phuong has 84 Oriental rugs, how many rugs are in his collection?
Answer:
The answer is
147Step-by-step explanation:
Let the total number of rugs be x
To find the total number of rugs we must first find the total parts which is
3 + 4 = 7
4/7 of the total rugs are 84 Oriental rugs
Which is written as
[tex] \frac{4}{7} x = 84[/tex]
Multiply through by 7
[tex]7 \times \frac{4}{7} x = 84 \times 7[/tex]
Simplify
[tex]4x = 588[/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{588}{4} \\ \\ \\ \\ x = 147[/tex]
The total number of rugs is 147Hope this helps you
25 POINTS
Examine the following solution to a conversion problem. Do you see a mistake? If so, identify the location of the first mistake and explain why it is incorrect.
Original Problem: Convert 3.25 kg to mg
(1) 3.25 kg
(2) 1 kg = 1000 g
(3) 1000 mg = 1g
= (4) 3.25 mg
A) The conversion is not possible.
B) The first problem occurs in column (1). The problem should begin with mg.
C) The first problem occurs in column (2). 1 kg is not equal to 1000 g, so that should not be used as the conversion factor.
D) The first problem occurs in column (2). The conversion factor is upside down (grams should be on top, and kg should be on bottom).
E) The first problem occurs in column (4). The multiplication and division was performed incorrectly.
F) No mistakes.
Thanks a bunch!
Answer:
[tex]\boxed{\sf Option \ E}[/tex]
Step-by-step explanation:
(1) 3.25 kg
(2) 1 kg = 1000 g
(3) 1000 mg = 1g
= (4) 3.25 mg
The first problem occurred in column (4) where we actually had to multiply it by 1000 but we divided it by 1000 and so our conversion was incorrect.
The correct form of it is:
1) 3.25 kg
2) 1 kg = 1000 g ; 3.25 kg = 3250 g
3) 1 g = 1000 mg ; 3250 * 1000 = 3,250,000 mg
4) Answer = 3,250,000 mg
Answer:
[tex]\boxed{\sf Option \ E}[/tex]
Step-by-step explanation:
1 kg = 1000 g
1000 mg = 1g
3.25 kilograms is to be multiplied by 1000 to get the value in grams. Then the result should be multiplied again by 1000 to get the value in milligrams.
3.25 kg ⇒ 3250 g ⇒ 3250000 mg
The first problem occurs in column (4). The multiplication and division was performed incorrectly.
pls guys help me pls :c
Answer: A. [tex]x\geq21\dfrac{2}{3}[/tex] .
Step-by-step explanation:
The given inequation: [tex]81-1\dfrac{1}{5}x\leq55[/tex]
[tex]\Rightarrow\ 81-\dfrac{6}{5}x\leq55[/tex]
Multiplying 5 on both the sides, we get
[tex]5(81-\dfrac{6}{5}x)\leq5\times55\\\\\Rightarrow\ 405-6x\leq275\\\\\Rightarrow\ 6x\geq405-275\\\\\Rightarrow\ 6x\geq130\\\\\Rightarrow\ x\geq\dfrac{130}{6}\\\\\Rightarrow\ x\geq\dfrac{65}{3}\\\\\Rightarrow\ x\geq21\dfrac{2}{3}[/tex]
Hence, the inequality for x is [tex]x\geq21\dfrac{2}{3}[/tex] .
So, the correct option is A. [tex]x\geq21\dfrac{2}{3}[/tex] ..
Segments AC and BD are diameters of circle O. Circle O is shown. Line segments A C and B D are diameters. Angle A O D is 73 degrees. What is the measure of Arc A D B? 107° 146° 253° 287°
Answer:
253°
Step-by-step explanation:
The central angle whose rays intercept a diameter of the circle has measure 180 deg.
m<AOD = 73 deg
m<DOB = 180 deg
m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg
The measure of an arc of a circle is equal to the measure of the central angle that subtends it.
m(arc)AOD = m<AOD = 253 deg
Answer: 253°
The solution is, the measure of Arc A D B is 253°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Here, we have,
given that AC and BD are diameters of circle O.
AC and BD intersect at point C the centre of the circle.
The central angle of a circle is the angle based at the circle's center. In other words, the vertex of the angle must be at the center of the circle. A central angle is formed by two radii that start at the center and intersect the circle itself.
The central angle whose rays intercept a diameter of the circle has measure 180 deg.
m<AOD = 73 deg
m<DOB = 180 deg
m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg
The measure of an arc of a circle is equal to the measure of the central angle that subtends it.
m(arc)AOD = m<AOD = 253 deg
Answer: the measure of Arc A D B is 253°.
To learn more on angle click:
brainly.com/question/28451077
#SPJ7
Can two events with nonzero probabilities be both independent and mutually exclusive? Choose the correct answer below. A. Yes, two events with nonzero probabilities can be both independent and mutually exclusive when their probabilities add up to one. B. No, two events with nonzero probabilities cannot be independent and mutually exclusive because if two events are mutually exclusive, then when one of them occurs, the probability of the other must be zero. C. Yes, two events with nonzero probabilities can be both independent and mutually exclusive when their probabilities are equal. D. No, two events with nonzero probabilities cannot be independent and mutually exclusive because independence is the complement of being mutually exclusive.
Answer:
Step-by-step explanation:
B. No, two events with nonzero probabilities cannot be independent and mutually exclusive because if two events are mutually exclusive, then when one of them occurs, the probability of the other must be zero.
For two mutually exclusive events , with non- zero probabilities , when one occurs , the other can not happen . In this way they become dependent events . In this way , for two events to be both independent and mutually exclusive , at least one of the two events must have zero probability .
It should be noted that two events with nonzero probabilities cannot be independent and mutually exclusive because if two events are mutually exclusive, then when one of them occurs, the probability of the other must be zero.
Mutually exclusive events simply means the events that cannot take place at the same time. The occurrence of one of the events will prevent the other event from occuring.
Therefore, two events with nonzero probabilities cannot be independent and mutually exclusive because if two events are mutually exclusive, then when one of them occurs, the probability of the other must be zero.
Read related link on:
https://brainly.com/question/15179003
In a class of 160 students, 90 are taking math, 78 are taking science, and 62 are taking both math and science. What is the probability of randomly choosing a student who is taking only math?
56%
39%
49%
74%
HURRY PLEASE
Answer:
56%
Step-by-step explanation:
90 ÷ 160
= 0.56
0.56 × 100
= 56%
Answer:
56%
Step-by-step explanation:
Your question is asking for students who are taking only math. Of 160 students, 90 are taking only math. This gives you the proportion of [tex]\frac{90}{160}[/tex] = 0.56. To find percents, just multiply it by 100 to get 56%.
Identify the factors of x2 − 4x − 12.
(x + 4)(x − 3)
(x − 4)(x + 3)
(x − 2)(x + 6)
(x + 2)(x − 6)
Answer:
(x + 2)(x - 6)
Step-by-step explanation:
We are given the equation: x² - 4x - 12. Let's factor this.
First, look at the integer factor pairs of -12:
-1, 12
-2, 6
-3, 4
1, -12
2, -6
3, -4
We would like to find a pair whose sum is -4. Inspecting each pair, we realise that only the pair 2, -6 works because 2 + (-6) = -4.
Thus, our factors are:
x + 2 (from the 2)
x - 6 (from the -6)
The factored form of our given quadratic is:
(x + 2)(x - 6)
~ an aesthetics lover
Em uma prova de conhecimentos gerais, Fernando errou 3/8 do total de 72 questões. Quantas são as questões que Fernando ACERTOU?
Vamos lá.....
Duas maneiras praticas:
1 - Multiplicar a fraçao pelo total, vai informar quanto a fracao representa (o que é questionado na questao)
2 - Regra de 3.
1:
72 × (3/8)
216/8
27
Ele acertou 27 questoes
(pergunta mais que interessante: qntas questoes havia na prova??? 72)
6th grade math help me, please :)
Answer:
B. 168 students
Step-by-step explanation:
Given that there are a total of 600 students.
28% of the students pack their lunch.
To find:
Total number of students who pack their lunch = ?
Solution:
Percentage of a given number is calculated using the following method.
[tex]y\%[/tex] of a number [tex]x[/tex] is given by:
[tex]x \times \dfrac{y}{100}[/tex]
i.e. multiply the number by percentage to be found and divide by 100.
So, we have to find 28% of 600 here, to find the answer to the question.
[tex]\therefore[/tex] Number of students who pack their lunch is given as: (Multiply the given number 600 with 28 and divide by 100.)
[tex]600 \times \dfrac{28}{100}\\\Rightarrow 6 \times 28\\\Rightarrow \bold{168}[/tex]
So, the correct answer is:
B. 168
