Answer: The required z-score = 1.25
Step-by-step explanation:
Let x be a random variable that denotes the scores in the exam.
The formula for z-score = [tex]\dfrac{X-\text{mean}}{\text{standard deviation}}[/tex]
As per given, we have
X= 625, mean=500, standard deviation = 100
Z-score = [tex]\dfrac{625-500}{100}[/tex]
i.e. Z-score = [tex]\dfrac{125}{100}[/tex]
i.e. Z-score =1.25
Hence, the required z-score = 1.25
The first sequence rule is multiply by 2 starting from 7. The second sequence rule is add 2 starting from 8. What is the first number that appears in both sequences?
Question 3 options:
10
14
18
28
The first and the second sequence are arithmetic and geometric sequence, respectively
The first number in both sequences is 14
How to determine the first number?From the question, we have the following rules
Rule 1Start = 7
Multiply by 2
Rule 2Start = 8
Add = 2
So, the numbers in the sequence are:
Rule 1: 7, 14, 28, 56......
Rule 2: 8, 10, 12, 14, .....
By comparing the numbers in the sequence, we can see that the first number in both sequences is 14
Read more about sequence at:
https://brainly.com/question/6561461
z-(-7)< 5
Solve this inequalities
Answer:
z less than -2
Step-by-step explanation:
z negative times negative is positive and 1 x 7 is 7
z+7 less than 5
z less than 5 - 7 because if a positive number crosses the sign it becomes negative
z less than -2 because 5-7 is -2
A rectangle has side lengths of 3 inches and square root 5 inches. Which statement
must be true
about the area of the rectangle?
Answer:
B
Step-by-step explanation:
Firstly, we will take a look at the equation and the options listed to choose from.
Secondly, we notice these options are reffering to rational and irrational numbers.
A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.
As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.
.............................................................................................................
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)
B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.
According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.
By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.
[tex]A = (3)\cdot \sqrt{5}[/tex]
[tex]A = 3\sqrt{5}[/tex]
Hence, the right answer is B.
We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650
PLEASE HELP ANSWER THIS QUESTION!!!
Answer:
about 64.03
Step-by-step explanation:
Find the area of each figure. Answer asap
Answer: There is no picture I will edit my answer when you add one
Step-by-step explanation:
Answer:
I need the picture or the shape please and thank you
Step-by-step explanation:
For each equality decide whether the solution is represented by X less than 2 .5 or X greater than 2.5 -4x+5>-5 -25>-5(x+2.5)
Answer:
[tex]x<2.5[/tex] and [tex]x > 2.5[/tex] are the solutions
Step-by-step explanation:
Given
[tex]-4x + 5 > -5[/tex]
[tex]-25 > -5(x + 2.5)[/tex]
Required
Determine if their solution is x < 2.5 or x > 2.5
[tex]-4x + 5 > -5[/tex]
Collect like terms
[tex]-4x>-5-5[/tex]
[tex]-4x>-10[/tex]
Divide by -4
[tex]x<\frac{-10}{-4}[/tex]
[tex]x<2.5[/tex]
[tex]-25 > -5(x + 2.5)[/tex]
Open bracket
[tex]-25 > -5x - 12.5[/tex]
Collect like terms
[tex]5x > 25- 12.5[/tex]
[tex]5x > 12.5[/tex]
Divide by 5
[tex]x > \frac{12.5}{5}[/tex]
[tex]x > 2.5[/tex]
How many solutions exist for the system of equations below?
Answer Choices:
none
one
two
infinitely many
Answer:
None
Step-by-step explanation:
No solutions exist for the system of equations because the system is illogical: 3x+y=3x+y, but 18≠16.
Which of the following is a degenerate circle?
O A. r?+ y2 = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)2 = 0
the Equation A. r²+ y² = 5 degenerate the circle.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,
(h, k) is the center of a circle,
"r" is the radius of the circle.
Only option A, r²+ y² = 5
Satisfies the general equation of the line,
thus, From option A the coordinates of the circle on the plane r-y
is (0, 0) and the radius of the circle will be √5.
From option B, x+y=7
It is the equation of the line.
From option C, x² + y² = -2
The sum of two squares can not be negative so it is not a real equation
From equation D, (x - 5)²+(y - 3)² = 0
The radius of a circle can not be zero otherwise it will become a point.
therefore, the Equation A. r²+ y² = 5 degenerate the circle.
Learn more about Circle here:
https://brainly.com/question/11833983
#SPJ7
Complete question:
Which of the following is a degenerate circle?
O A. r²+ y² = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)² = 0
la expecion del volumen
Answer:
no hay imagen lo siento
Step-by-step explanation:
Estimate the product 28 2/3 x 4/5
Answer:
23.2, exact is 22.9333334
Step-by-step explanation:
28 2/3 is around 28.5 ,4/5 is .75
28.5 * .75 = 21.375
Annual starting salaries for college graduates with degrees in business administration are generally expected to have a population standard deviation of $3,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is (a) [1 pt] $500
Answer:
A sample of 139 should be taken.
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].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
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.
Population standard deviation of $3,000.
This means that [tex]\sigma = 3000[/tex]
How large a sample should be taken if the desired margin of error is $500?
A sample of n is needed.
n is found when M = 500. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*3000[/tex]
Dividing both sides by 500
[tex]\sqrt{n} = 1.96*6[/tex]
[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]
[tex]n = 138.3[/tex]
Rounding up:
A sample of 139 should be taken.
Taylor had a bag of 28 marbles. 5 red, 9 blue, 8 yellow, and 6 black. If Taylor pulled out a yellow one and DID NOT put it back in. What is the probability of pulling out a blue marble (SIMPLIFY YOUR FRACTION). /
Answer:
The probability of pulling out a blue marble is 33.3%.
Step-by-step explanation:
Given that Taylor had a bag of 28 marbles, which were 5 red, 9 blue, 8 yellow, and 6 black, if Taylor pulled out a yellow one and did not put it back in, to determine what is the probability of pulling out to blue marble the following calculation must be carried out:
28 - 1 = 27
9/27 = X
0.333 = X
0.333 = 33.3%
Therefore, the probability of pulling out a blue marble is 33.3%.
A 12-pound bag weighs more than a 200-ounce bag. True or false
Answer:
false
Step-by-step explanation:
200oz= 12.5 pounds
Answer:
false
Step-by-step explanation:
12 pound=192 ounces
Please answer plzzzzzzzzzzz
Answer:
543
Step-by-step explanation:
Aria recorded her daily lemonade stand profit during one week. Which data representation would you use to show her profit over the week? Explain how you would draw it and what you would expect to see
Answer:
Step-by-step explanation:
a line graph would show the data over time.I would plot the days along the horizontal axis and each daily profit at points on the vertical axis.I would connect the points with lines.If her profit increasing each day, I would expect the line height to increase over time.
Answer:
There is already another answer:
line graph or bar graph because it shows you what day of the week you sell more lemonade.
Step-by-step explanation:
Problem 3.1
Jaleel wrote a book. He wants to print some copies for his
friends and family. The printing company charges a one-
time fee of $200, plus $2 for each printed book.
Is Jaleel's total cost a function of the number of books he
prints?
Answer:
C(n) = 200 + 2n
Step-by-step explanation:
Given:
Fixed cost state by printing company = $200
Variable charges per book print = $2
Find:
Cost function of number of books print
Computation:
Assume:
Number of books printed = n
Total cost of n books printed = Fixed cost state by printing company + Variable charges per book print[Number of books printed]
C(n) = 200 + 2n
Where n = number of book
C = Total cost
Jaleel's total cost as a function of the number of books he print is [tex]c = 2n + 200[/tex] (in dollars)
How to form mathematical equations from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.
If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions or equations.
For the considered case, we don't know exactly how many books will Jaleel gets printed. So we can use variable here.
Let we have:
n = number of books Jaleel gets printed.c = total cost Jaleel has to pay for printing those booksThen, as stated in the problem, for each book there is $2 price, and there is a fixed one-time charge of $200
Thus, we get total cost as:
c = Cost for n books + Fixed one-time cost.
Cost for n books = 2 + 2 + ... + 2 (n times ) (in dollars) = [tex]2n[/tex](we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Fixed one-time cost = $200Thus, total cost is written as:
c = Cost for n books + Fixed one-time cost.
c = 2n + 200 (in dollars)
Learn more about forming equations here:
https://brainly.com/question/11938672
PLEASE HELP! WILL GIVE BRAINLIEST! After substituting, what is the first step when evaluating 4y+9 when y=82 O Add 4 and 9. O Multiply 8 by 4. O Divide 9 by 7 O Divide 4 by 7.
Answer:
The answer is c
Step-by-step explanation:
Convert Standard Form to Factored Form (SHOW
ALL WORK) (LT 5.6)
j(x)=x²+7X-18
Answer:
j(x)=a(x+9)(x-2)
j(x)=1(x+9)(x-2) < final answer
Carmen surveys a random sample of 35 students from her school. Of these students, 2 are chess club members. If there are 550 students at her school, how many of them are likely to be chess club members?
Answer:
31
Step-by-step explanation:
2 out of 35 are chess club members.
The fraction of chess club members in the survey is 2/35.
Now we find 2/35 of 550.
2/35 * 550 = 1100/35 = 31.43
Answer: 31
If there are 550 students at her school, then there are 31 chess club members in the entire school.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
If Carmen surveyed a random sample of 35 students and found that 2 are chess club members.
We can set up a proportion to solve for this:
2/35 = x/550
where x is the number of chess club members in the entire school.
To solve for x, we can cross-multiply and simplify:
2 × 550 = 35 × x
1100 = 35x
Divide both sides by 35.
x = 1100/35
x ≈ 31.43
Therefore, we can estimate that there are approximately 31 chess club members in the entire school.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
3 Each change of 6 in the linear function
f(x) results from a change of 2 in x.
What is the rate of change of f(x) in
relation to x?
A
1/3
с 3
B-1/3
D-3
Answer:
D. -3
Step-by-step explanation:
Sana nakatulong
If I paid $2.50 in taxes on a $45 item, what percentage rate of taxes did I pay?
Answer:
47.05
Step-by-step explanation:
12345678910^#3:##;$$;$%#;#<÷&÷#7#;;^#
im a breadstick grrrr
Answer:
ok if u say so
Step-by-step explanation:
A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)
Answer:
y = x + 15
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.
Plug this value (1) into your standard point-slope equation of y = mx + b.
y = 1x + b or y = x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.
10 = (-5) + b
Simplify.
10 = -5 + b
Now, add 5 to both sides to isolate b.
15 = b
Plug this into your standard equation.
y = x + 15
This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)
Hope this helps!
please help ///// brainiliest
A 6 cm high cone has a volume of 128π cm3 What is its exact surface area?
A. 160π cm2
B. 96π cm2
C. 144π cm2
D. 104π cm2
No dam links
A mountain climber started at 150 feet below sea level. What would he need to climb to so that his starting spot and his ending spot were opposites?
Answer:
Your answer is 24.333.
Step-by-step explanation:
..If you round this, it would be 24 or 24.3. you get this answer by doing 3650 divided by 150.
Need help
1. 15% of what number is 6?
2. 25 is 10% of what number
3. 49 is 35% of what number
4. What is 310% of 65
Thanks
Answer:
1. 40
2. 40
3. 140
4. 210.5
I tried, hope this helps :)
How many lines of symmetry does the figure below have?
Answer:
C
Step-by-step explanation:
there are 4 of the exact same line going in 4 directions
Can someone please help me I am a no brain and very dum
Suppose 12% of students surveyed said they have tried riding a zip line.
a. How many would say they have tried riding a zip line if 100 students were surveyed.
Find the a. Median b. Median c. Mode and d. Range of the following scores 60, 70, 90, 70, 80, 65, 95, 80, 100, 60
Answer:
median-75
mode-70
range-40
mean-77
Step-by-step explanation:
HELPPP!!!! Due today
The volume of a prism is 18 cubic inches. What is the
volume of a pyramid with the same base and height?
Answer:
1944
Step-by-step explanation:
I used the pyramid formula and used 18 as the bases and heights since it’s a perfect triangular pyramid.