Factorise:- d² + 14d + 40
Solution:-d² + 14d + 40[tex] \rightarrow [/tex] d² + 10d + 4d + 40 = 0
[tex] \rightarrow [/tex] d(d + 10) + 4(d + 10) = 0
[tex] \rightarrow [/tex] (d + 10)(d + 4) = 0
[tex] \therefore [/tex] Either, d + 10 = 0 => d = -10 and d + 4 = 0 => d = -4
So, d = -10 and -4 [Answer]A bag contains 12 colored marbles. Dan drew a single marble from the bag 25 times, replacing the marble each time. He recorded drawing a red marble 9 times, a yellow marble 6 times, a blue marble 4 times, and a green marble 6 times. Based on these results, what is a reasonable conclusion about the makeup of the marbles in the bag?
Select one:
more red marbles than blue marbles
no white marbles
an equal number of yellow and blue marbles
more green marbles than red marbles
Answer:
more red marbles than blue marbles
no white marbles
hope it is helpful to you
The pie chart shows the results of a survey on
students' favourite subjects.
a What fraction of the students chose Science?
b 60 students chose Maths.
i How many students chose Languages?
ii How many students chose Other?
jii How many students took part in the survey?
Favourite subjects
380 1200
O Mathis
Languages
Science
Art
DOther
90° 42
sh
o
a
Answer:
Step-by-step explanation:
http://www.mrbartonmaths.com/resources/GCSE%20Revision/GCSE%20Maths%20Takeaway/2.%20Grade%20D/46.pdf
You can find it in this site
Identify the missing measures
Answer: The value of the question mark should be 28 Since Angles are vertically Opposite
if a=1 and b=2 what is the value of a²+b²?
Answer:
1^2+2^2=5
Step-by-step explanation:
Answer is 5..
HELP WHAT COLOR DO I PICJ!!
Answer:
GREEN
Step-by-step explanation:
because 0.11 per oz is better than 0.12 per oz
In marketing, response modeling is a method for identifying customers most likely to respond to an advertisement. Suppose that in past campaigns 23.8% of customers identified as likely respondents did not respond to a nationwide direct marketing campaign. After making improvements to their model, a team of marketing analysts hoped that the proportion of customers identified as likely respondents who did not respond to a new campaign would decrease. The analysts selected a random sample of 1500 customers and found that 315 did not respond to the marketing campaign.
The marketing analysts want to use a one-sample z-test to see if the proportion of customers who did not respond to the advertising campaign, p, has decreased since they updated their model. They decide to use a significance level of α= 0.01.
Required:
a. Determine the value of the z-statistic. Give your answer precise to at least two decimal places.
b. Determine the p-value for this test. Give your answer precise to at least three decimal places.
Answer:
a) The value of the z-statistic is z = -2.55.
b) The p-value for this test is 0.0054.
Step-by-step explanation:
Suppose that in past campaigns 23.8% of customers identified as likely respondents did not respond to a nationwide direct marketing campaign. Test if this proportion has decreased:
This means that at the null hypothesis we test that if the proportion is still 0.238, that is:
[tex]H_0: p =0.238[/tex]
And at the alternate hypothesis we test if the proportion has decreased, that is:
[tex]H_a: p < 0.238[/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.
0.238 is tested at the null hypothesis:
This means that [tex]\mu = 0.238, \sigma = \sqrt{0.238*0.762}[/tex]
The analysts selected a random sample of 1500 customers and found that 315 did not respond to the marketing campaign.
This means that [tex]n = 1500, X = \frac{315}{1500} = 0.21[/tex]
a. Determine the value of the z-statistic. Give your answer precise to at least two decimal places.
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.21 - 0.238}{\frac{\sqrt{0.238*0.762}}{\sqrt{1500}}}[/tex]
[tex]z = -2.55[/tex]
The value of the z-statistic is z = -2.55.
b. Determine the p-value for this test. Give your answer precise to at least three decimal places.
The p-value of the test is the probability of finding a proportion below 0.21, which is the p-value of z = -2.55.
Looking at the z-table, z = -2.55 has a p-value of 0.0054
The p-value for this test is 0.0054.
Sketch and Write the Equation
Equation=
Ordered Pair = (-3, 5)
Slope=
y-intercept= - 5
Answer:
Y = - 5/3 x - 5
Step-by-step explanation:
Which iwo operations are needed to write the expression that represents four times the difference of a number and
three"?
multiplication and subtraction
division and subtraction
multiplication and addition
O division and addition
J
Answer:
multiplication and subtraction
Step-by-step explanation:
4(n-3)
) A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a sample of 200 items, 28 are defective. a) Find the 95% confidence interval for the proportion of defectives from this production line b) Interpret the results (the interval) you got
Step-by-step explanation:
Here are the solutions:
For the sample size of 300, with 27 defectives, the sample proportion is p-hat = 27/300 = 0.09.
For a 90% confidence interval of a proportion, use z = 1.645.
The limits of the interval are then:
Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.0628
Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.1172
The 90% confidence interval is then (0.0628, 0.1172)
For the larger sample, assuming that the same proportion of defectives is found (p-hat = 0.09), the new confidence interval would be:
Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0867
Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0933
In this case, the 90% confidence interval is (0.0867, 0.0933)
Thanks,
If you can help me with these 4 questions I'll give brainliest :))
Answer:
Mode: 86 ( a number that's repeated the most in the data set)
Range: 47 (Largest number subtracted by the smallest number in the data set)
Median: 56 (Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers)
Mean: 61 (The mean of a set of numbers is the sum divided by the number of terms).
Hope this helps!
The height , in feet, windowsills in a high-rise building is represented by this sequence: 3,15,27,39,...
Answer:
Each windowsill goes up by a factor of 12 feet, so the next numbers are 51, 63, 75(feet) and so forth
Step-by-step explanation:
3, 15, 27, 39.....
3+12= 15
15+12= 27
27+12= 39
39+12= 51
51+12= 63
63+ 12= 75
A man made a loss of 4% on an article he had sold for Tzs 240 more he had made a profit of 8%. Find the cost price
Answer:
250 rupees
Step-by-step explanation:
Name that Circle Part!
Directions: Use the diagram to classify each circle part by clicking on, copy (ctrl+c) and pasting (ctrl+v) then dragging the appropriate part. Parts may be used more than once.
Answer:
Good luck
Step-by-step explanation:
Sorry I don´t understasnd
The circle parts with overline over them is line segment, such as LQ, the parts with angle sign are angle and part with curve over them is chord.
What are the Circle Parts?There are different parts of circle such as chord, radius, diameter, central angle, circumference etc.
In this provided problem, we have to name all the part of the circle shown in the figure.
In the figure,
P and X are the center.PN, PM, PQ are the radius of first circle and XR, XU, XY are the radius of second circle.MQ, QR, RN, NM are the chord of first circle and YW, WR, RU, UY are the chord of second circle.LM and UY are the secant and LQ is tangent.Thus, the circle parts with overline over them is line segment, such as LQ, the parts with angle sign are angle and part with curve over them is chord.
Learn more about the circle here;
https://brainly.com/question/14068861
#SPJ2
The angles shown below are supplementary:
What is the value of x?
BRAINLIEST
PLEASE HELP
SHOW WORK
Step-by-step explanation:
supplentary means they add to 180
so you can make the formula 180 = 10x + 80
then solve for x
Answer:
x = 10
Step-by-step explanation:
Supplementary angles add up to equal 180°
Thus, 10x + 80 = 180
Now that we have identified the equation we solve for x
10x + 80 = 180
step 1 subtract 80 from each side
80 - 80 cancels out
180 - 80 = 100
we now have 100 = 10x
step 2 divide each side by 10
100 / 10 = 10
10x / 10 = x
we're left with x = 10
Which of these data sets is symmetrical?
A. 1, 8, 15, 15, 22, 22, 22, 29, 29, 36, 43
B. 1, 8, 15, 22, 22, 22, 29,29, 29, 36, 43
c. 1, 8, 15, 15, 15, 22, 22, 22, 29, 36, 43
D. 1,1, 15, 15, 22, 22, 22, 29, 29, 36, 43
Answer:
B is the correct answer..
Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1
A.) {(-4, 6)}
B.) {(-8, -12}
C.) {(3,2)}
9514 1404 393
Answer:
C.) (3, 2)
Step-by-step explanation:
The coefficients of y are opposites, so we can add the two equations to eliminate y.
(x +2y) +(x -2y) = (7) +(-1)
2x = 6 . . . . . simplify
x = 3 . . . . . . matches choice C
Please help me please
Answer:
5
Step-by-step explanation:
the prime factors of 90 are 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3 and 5 are the prime numbers.
Pls help my sister doesn't know this question
Answer: i believe its the on that says 8g = 22 +26
Step-by-step explanation:
8g = 22+26
8g = 48
48 / 8
g=6
A quiz has 5 questions with answers that are either true or false. How many different combinations of answers are
possible?
Ο 10
Ο 16
Ο Ο Ο
25
Ο 32
find the area of the figure
Answer:
25 yards squared
Step-by-step explanation:
Answer:
area =27
Step-by-step explanation:
Plz help me well mark brainliest if correct!!.....
Answer:
1st one
Step-by-step explanation:
because it is
Answer:
Option 1
Step-by-step explanation:
In the first one, the first number is lower than -2, the second is between -1 and 0, and 1+1/6 is of course bigger than 0 and smaller than 1+5/6, so it's the right answer.
The second one is the first one reversed, so it's ordered from greatest to lowest.
The third one has a negative number on both ends, but positives in the middle, so it cannot be ordered lowest to greatest. Same with the last one.
Figure ABCD is transformed to obtain figure A'B'C'D':
(pic is below)
Part A: Write the sequence of transformations that changes figure ABCD to figure A'B'C'D'. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
No links please :)
if u dont know the answer dont answer please:)
Please dont just answer for points :(
Answer:
A. Reflection over the y axis and a translation 4 units down
B. Yes because glide reflections preserve side and angle measures.
Which of the following should not be used as justification in a formal proof?
Postulates
Theorems
Axioms
Venn diagrams
Answer:
Venn diagrams
Explanation:
A Venn diagram is a widely used diagram style that shows the logical relation between sets.
The table includes the size of roofs (x) and the cost to replace them (y). The summary points are (748, 7,048), (890, 8,385), and (1,001, 8,475).
Using approximate values for the slope and y-intercept, what is the linear model?
y =
A. 0.8
B. 5.6
C. 9.4
x +
A. -299.2
B. 3,043.2
C. 7,265.4
Answer:
5.6 and 3,043.2
Step-by-step explanation:
Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so which is the ratio of seventh graders to eighth graders on the team ?
triangle ABC below has a right angle C and a height CD. (A height in a triangle connects it vertex and the opposite side, and is perpendicular to that side.) If AC is 3 untis long and BC is 4 units long, what is the length of CD?
9514 1404 393
Answer:
2.4
Step-by-step explanation:
We can see that this is a 3-4-5 right triangle, so side AB is 5 units long.
The area of the triangle is ...
A = 1/2bh = 1/2(3 units)(4 units) = 6 units
This is true also when side AB is the base and CD is the height.
A = 1/2(AB)(CD)
6 = 1/2(5 units)(CD) . . . . . substitute given information
6/2.5 = CD = 2.4 . . . . . . . divide by the coefficient of CD
The length of side CD is 2.4 units.
__
In the attached, the height to vertex C is given on the bottom line.
lf 9/28 of the students at Williards High school participate in after school sports activities, what fraction of the students do not participate in after school activities
Answer: 19/28
Step-by-step explanation:
9/28 participate, so that means that ? dont participate.
28/28 = 1 whole
28 - 9 = 19
so 19/28 students do not participate in after school activities.
100 Points!!!!! PLEASE HELP. Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Part 2: Writing Equivalent Expressions
3. You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.
a. Use either the commutative property or combine like terms to create an equivalent expression.
b. Use the distributive property to create an equivalent expression.
4. Pick a number from 1 to 10. Use that number to verify your three expressions (the original, the one from 3a, and the one from 3b) are equivalent by substituting it into each expression. Show all your work for complete credit.
Part 3: Finish the Story
5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Step-by-step explanation:
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
25(10j + 18 + 5j)
Your expression is good.
Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Skuttle offered to pay his sister Izzy $25 for every four-leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will overall make more money together.
Your verbal expression is good. It reflects your chosen equation.
Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.
Using commutative property of addition, the expression in question 1 can be rewritten as follows:
Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:
Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.
Part 3: Finish the Story
Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Answer:
Step-by-step explanation:
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
25(10j + 18 + 5j)
Your expression is good.
Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Skuttle offered to pay his sister Izzy $25 for every four leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will over all make more money together.
Your verbal expression is good. It refrects your chosen equation.
Part 2: Writing Equivalent Expressions
Q3. Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.
Using commutative property of addition, the expression in question 1 can be rewritten as follows:
25(10j + 18 + 5j) = 25(10j + 5j + 18)
Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:
25(10j + 18 + 5j) = 250j + 450 + 125j
Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.
Now we can subsitute, say 7 for j.
For the first expression, we have:
25(10j + 5j + 18) = 25(10(7) + 5(7) + 18)
= 25(70 + 35 + 18) = 25(123) = 3,075.
For the second expression, we have:
250j + 450 + 125j = 250(7) + 450 + 125(7) = 1,750 + 450 + 875 = 3,075.
Thus, we can see that both expressions are equivalent.
Part 3: Finish the Story
Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Sarah found 3 + 7 = 10 shark teeth.
John found 10 / 2 = 5 shark teeth.
The total money they earned is $5 x 15 = $75.
1) an expression that looks similar would be (could be anything)
4(5j+8+4j)
2) It would become:
four times the sum of five times a number, eight, and four times the same number
3) equivalents would be 4(9j+8)
or:
4(5j)+4(8)+4(4j)
4) say J=1 for simplicity
4(9+8)
=4x17
=68
next one would be:
4x5+4x8+4x4
=20+32+16
=68
ok, this is correct.
5) Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.
Step-by-step explanation:
Which equation has the solution x = 2?
A. 5x + 1 = 10
B. 4x - x = 4
C. 3x + 2 = 8
D. 2x - 3 = 9
Step-by-step explanation:
C. 3X + 2=8is the correct answer
hope it helps you have a good day
please mark me as brain list it is 100% correct
Answer:
Your answer is C
Step-by-step explanation:
(3 * 2) + 2
6 + 2 = 8
What is the surface area of the
rectangular prism below?
Answer: 476.88
Step-by-step explanation: length times width times height
Answer:
The answer is 476.88
Step-by-step explanation: