Answer: 8.20
Step-by-step explanation:
1kg = 1000g
take 650 divided by 1000 = 0.65kg
Then take 5.33 divided by 0.65 = 8.20
the salary of teachers in a particular school district is normally distributed with a mean of 50000 and a standard deviation of 2500. due to budget limitations, it has been decided that the teachers who are in the top 2.5% of the salaries would not get a raise. what is the salary level that divides the teachers into one group that gets a raise and one that doesn't?
54899.91 is the salary level that divides the teachers into one group that gets a raise and one that doesn't. Using the concept of probability -
What is probability?Probability is a mathematical discipline that concerns with numerical figures of how probable an occurrence is to occur or how probably a statement is to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given that,
the salary of teachers in a particular school district is normally distributed with a mean of 50000.
standard deviation of 2500
2.5% of the salaries would not get a raise
P (X > x) = 0.025
or, P {( X - 50000)/2500} ≤ {x - 50000/2500} = 0.975
or, P (Z ≤ ( x - 50000)/2500) = 0.975
or, Φ ((x - 50000)/2500) = 0.975
or, (x - 50000)/2500 = Φ⁻¹ (0.975)
or, (x - 50000)/2500) = 1.959964
or, x = 50000 + (1.959964 × 2500)
or, x = 54899.909961
or, x = 54899.91
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identify the domain of the graphed function
[-3,6)
(-3,-1)U(-1,2)U(2,6)
(-3,2)U(2,6]
[-3,-1)U(-1,6)
Answer: [tex][-3,-1) \cup (-1, 6)[/tex]
Step-by-step explanation:
The domain of a function is the set of [tex]x[/tex]-values.
A hole means that the value is not included in the domain, whereas a filled circle means the value is included in the domain.
Thus, the domain is [tex][-3,-1) \cup (-1, 6)[/tex].
use rounding or compatible numbers to estimate each product or quotient.
5 x 2 3/5
a. about 10
b. about 10 3/5
c. about 15
d. about 20
im guessing b
Answer: c.
Step-by-step explanation:
I used rounding: 3 is closer to 2 3/5 than 2 and 5 * 3 is 15, so the answer is about 15.
When Kelsey is not on the moving sidewalk, she can walk the length of the sidewalk in 3 minutes. If she stands on the sidewalk as it moves, she can travel the length in 2 minutes. If Kelsey walks on the sidewalk as it moves, how many minutes will it take her to travel the same distance? Assume she always walks at the same speed.
Answer:
1.2 minutes
Step-by-step explanation:
Kelsey moves 1/3 length per minute. The sidewalk moves 1/2 length per minute. Walking on the sidewalk, Kelsey moves (1/3+1/2) = 5/6 lengths per minute, or 6/5 minutes per length.
So it takes Kelsey 1 1/5 minutes to walk the length on the moving sidewalk.
What is the relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean?.
The 90% C.I. is more precise in estimating a mean than the 95% C.I.
What does confidence interval mean?
Your estimate's mean plus and minus the range of that estimate's fluctuation is called a confidence interval.
If you repeat your test, you can expect your estimate to fall between these numbers with a reasonable degree of certainty. In statistics, confidence is another word for probability.
What does the term "confidence interval" mean?
A claim of 95% confidence in statistics essentially means that the researcher has observed one conceivable interval out of many possible ones, and that 19 out of 20 of those intervals contain the correct value of the parameter.
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Graph y=-2x+5y=−2x+5y, equals, minus, 2, x, plus, 5. NEED HELP PLS
The graph for the linear equation y = -2x + 5 is plotted and shown in the image attached below.
How to Graph an Equation?If we are given an equation of a line that is expressed in slope-intercept form as y = mx + b, it means that the graph will have a slope = rise / run = the value of m, while it would cut across the y-axis at b, that is the y-intercept.
Given the equation in slope-intercept form as y = -2x + 5, it means that the graph will have a slope that has a ratio of the rise to the run as -2, while the line will intercept the y-axis at y = 5.
Therefore, the graph in the image attached below shows the equation, y = -2x + 5.
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An event facility uses 16 servers to work an event with 400 guests. Which rate best represents the relationship between servers and guests at the event facility?
Answer:
1:25 or 1/25
Step-by-step explanation:
Rate=16/400
1/25 or 1:25
Answer: 16 to 400. This will be the answer I believe.
50 points for helping :)
The line parallel to the given line 2x+2y=-12 is also -1.
Define slope.
Slope of a line refers to the measure of the steepness and the direction of a line.
Illustrate y= m x+ c.
y = mx + c refers to an equation of a line having a gradient of m and a y-intercept of c. This equation is often referred to as the slope-intercept form of the equation of a line.
We know that,
The general equation of a line is y=m x+ c,
where m = slope and b = y-intercept, c is a constant
Now, the equation of the given line is,
2x+2y=-12
⇒x + y=-6
Now expressing the equation in the form of y=m x+ c
So, y=-6-x
Further, on rearranging we get y= (-1) x-6
y = mx + c
So, according to the equation,on comparing we get
m=-1 and c=-6
On comparing, the slope of the given line is -1.
Since, 'The slopes of two parallel line is always equal'.
Thus, the line parallel to the given line is also -1.
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Answer: 2x + 2y = -1
Step-by-step explanation:
High school graduates are surveyed about their futures. The results are shown in the tree diagram.
(Use the tree diagram to calculate the percentage of all graduates who plan to enter the workforce and reside locally. Show all necessary calculations.)
ANSWER: the people residing locally that are attending collage is
70% and on the bottom it is 40% and the people entering the work force it is 30%
Step-by-step explanation:
GIVE BRAINLIEST
The percentage of all graduates who plan to enter the workforce and reside locally is 15%.
According to the tree diagram, we need to calculate the percentage of high school graduates who plan to enter the workforce and reside locally. To calculate this, we need to follow the branches in the tree diagram. Let's start from the top:
1. The first branch shows that 30% of high school graduates plan to enter the workforce.
2. From those 30%, 50% plan to reside locally.
3. To calculate the percentage of all graduates who plan to enter the workforce and reside locally, we need to multiply the percentages from steps 1 and 2 together: 30% * 50% = 0.30 * 0.50 = 0.15 or 15%.
Therefore, the percentage of all graduates who plan to enter the workforce and reside locally is 15%.
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......... i need help past due
Answer:
3,2,4
The fastest restaurant for service is the second choice. It takes 2 minutes to service each customer.
Step-by-step explanation:
27/9 = 3 minutes per customer
8/4 = 2 minutes per customer
32/8 = 4 minutes per customer
GEOMETRY HELP NEEDED ASAP
Answer:
It would be the first and the third one.
Step-by-step explanation:
help me i need help on this
1: 17/4 or 4.25
2: 375/35 or 10.63
3: 146/15 or 9.73
4: 22/3 or 7.3
5: 265/24 or 11.04
which function has the same domain as
[tex]y = 2 \sqrt{x} [/tex]
Both have a domain of [tex][0, \infty)[/tex] which in other words, is the set of nonnegative real numbers. I recommend using a graphing calculator to verify both of these functions have the same domain.
The reason for this is because we need to avoid negative numbers under the square root. So it leads us to [tex]\text{x} \ge 0[/tex]
the graphs below have the same shape. what is the equation of the red graph?
The equation of the red graph is x² + 2
What is meant by Equation ?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
Since the function in the graph is headed upward , we know the portion of x² is positive . And since the highest point of the red line on the y-axis is 2, we can conclude the function represented by the red line is
x² + 2
Therefore the equation of red graph is x² + 2
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What is the solution of the linear-quadratic system of equations? { y = x 2 + 5 x − 3 y − x = 2
The two solutions for the system of equations:
y = x^2+ 5x - 3
y - x = 2
Are:
(-5, -7) and (1, -1)
How to solve the system of equations?Here we have the following system of equations:
y = x^2+ 5x - 3
y - x = 2
We can replace the first equation into the second one to get:
(x^2+ 5x - 3) - x = 2
x^2 + 4x - 3 = 2
x^2 + 4x - 3 - 2 = 0
x^2 + 4x - 5 = 0
Using the quadratic formula, we will get the solutions:
[tex]x = \frac{-4 \pm \sqrt{4^2 - 4*1*-5} }{2} \\\\x = \frac{-4 \pm 6}{2}[/tex]
The two solutions are:
x = (-4 - 6)/2 = -5
x = (-4 + 6)/2 = 1
To find the values of y, we can evaluate the linear equation:
when x = -5
y - (-5) = -2
y + 5 = -2
y = -2 - 5 = -7
So one solution is (-5, -7)
when x = 1
y - 1 = -2
y = -2 + 1 = -1
The other solution is (1, -1)
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John ha 2,700 eed of corn to plant in 9 row on hi farm. Each row will have the ame number of eed. Part A
Which baic fact can John ue to find out how many eed will be planted in each row?
A. 9
÷
3
=
3
B. 27
÷
9
=
4
C. 27
÷
9
=
3
D. 270
÷
9
=
30
Using division we know that (D) 2700÷9=300 is the basic fact using which John will get t know how many seeds will be planted in a row.
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.
The other operations are multiplication, addition, and subtraction.
In mathematics, the division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed.
For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.
The division sign, "," or occasionally "/," is used in computer code.
So, we know that: Total seeds are 2700 and the total rows are 9
If there are the same amount of seeds in each row.
Following that, the number of seeds will be put in each row.
= (Total seeds) ÷ (Total rows)
= 2700÷9
= 300
Therefore, using division we know that (D) 2700÷9=300 is the basic fact using which John will get t know how many seeds will be planted in a row.
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Correct question:
John has 2,700 seeds of corn to plant in 9 rows on his farm. Each row will have the same number of seeds. Part A
Which basic fact can John use to find out how many seeds will be planted in each row?
A. 9÷3=3
B. 27÷9=4
C. 27÷9=3
D. 2700÷9=300
please help 30 points, giving brainliest!!! ( DO ONLY 5-8)
picture is attached :) ty!!
Answer:
5/ Slope is 0
6/ Slope is 4/1
7/ Slope is -4/2 = -2
8/ Slope is undefined
Step-by-step explanation:
5/ Slope is 0 when it goes straight to the right
6/ We see that the y goes up 4, x over 1, so the slope is 4/1
7/ We see that the y goes down by 4, and x over by 2, so the slope is -2
8/ Slope is undefined when it goes straight up!
If you can please give me a Brainliest, thank you!
Identify the hypothesis and conclusion of the conditional statement.
A prism with bases that are regular polygons is a regular prism
Hypothesis:
A prism based that are regular polygons
It is a regular prism
It is not a regular prism
Conclusion:
A prism based that are regular polygons
It is a regular prism
It is not a regular prism
Re-write the equation in if-then form:
If a prism has bases that are regular polygons, then it is not a regular prism.
If a prism has bases that are regular polygons, then it is a regular prism.
If it is a regular prism, then it is not a prism that has bases that are regular polygons
If it is a regular prism, then it is a prism that has bases that are regular polygons.
The hypothesis is A prism base that are regular polygons
Conclusion: It is a regular prism
If-then form: If a prism has bases that are regular polygons, then it is a regular prism
What is if then statement in math?An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion.
As indicated, this is p → q. Read this: if p, then q. If the hypothesis is correct but the conclusion is untrue, a conditional statement is false.
The conditional statement is of two parts the hypothesis which is p and the conclusion which is q
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A movie theater sold 3 child tickets the other 47 tickets it sold were adult tickets what is the ratio of the number of adult tickets to the total number tickets
Answer:47/50
Step-by-step explanation:
47+3=50
47 adult tickets sold
47/50
8) Three hundred students were surveyed about their favorite subject. The results are st
the table below.
How many more students prefer science than math?
The students that prefer science than Maths are 27
How many more students prefer science than math?From the question, we have the following parameters that can be used in our computation:
Math = 24
Science = 33
Total proportion = 100
The additional number of students that prefer science than Maths is calculated as
Additional = (Science - Maths)/Total proportion * Number of students
So, we have
Additional = (33 - 24)/100 * 300
Evaluate
Additional = 27
Hence, the number of students is 27
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Shea wrote the expression 5( y + 2) + 4 to show the amount of money five friends paid for snacks at a baseball game. Which expression is equivalent to the one Shea wrote?
Answer: To determine which expression is equivalent to the one Shea wrote, we can first evaluate the expression 5(y + 2) + 4. The parentheses indicate that we should first perform the operation inside the parentheses, which is to add 2 to y. This results in 5(y + 2) = 5y + 10.
We can then add 4 to both sides of the equation to get 5y + 10 + 4 = 5y + 14. This expression is equivalent to the one Shea wrote, 5(y + 2) + 4.
Therefore, the expression that is equivalent to the one Shea wrote is 5y + 14.
Find the volume of the following solid ( show working out)
Answer:
1968
Step-by-step explanation:
By finding the volume of the 'missing piecce' and subtracting that from the volume of the figure if it was a prism we find that the answer is 1968
(14 x 16 x 12) - (10 x 6 x 12) = 1968
v v
2688 -- 720 = 1968
Hope this helps!!
# 5: Nina is an artist who sells paintings online. She charges
the same amount to ship each painting.
• When she sells 4 paintings, she charges a total of $9.96 for
shipping.
• When she sells 8 paintings, she charges a total of $19.92 for
shipping.
How much more does Nina charge for shipping 20 paintings
than for shipping 16 paintings?
A. $2.49 B. $9.96 C. $19.92 D. $29.96
Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings.
What is selling cost?
The overall expense expended by a monopolistically competitive corporation to set its product apart from those of its rivals is referred to as the selling cost. For instance, a company's advertising costs are included in the cost of selling the product.
Given that,
She sells 4 paintings she apply a charge $ 9.96. .....(i)
Again she sells 8 paintings she apply a charge $19.92. ....(ii)
Multiplying statement (i) by 5
She sells 20 paintings she apply a charge $49.8....(iii)
Multiplying statement (ii) by 2
She sells 16 paintings she apply a charge $39.84....(iv)
Subtract (iv) by (iii)
The difference between shipping 20 paintings to shipping 16 paintings is $(49.8 - 39.84) = $ 9.96
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[tex]6+2n=-4(N-1)+6N[/tex]
Answer:
0=−2
Step-by-step explanation:
75 percent of what is 105
√3 (√2 -1 ) + √2 (1-√3)
Answer:
√2-√3
Step-by-step explanation:
√3 (√2 -1 ) + √2 (1-√3)
= √3 x √2 - √3 + √2 - √2 x √3
= √6 - √3 + √2 - √6
= √2 - √3
Use identities,evaluate 496X404
Answer: 200384X 403 or 496 X 404
Step-by-step explanation: hope this helped
ill mark you branliest if u answer
2. (2 points)
What is an equation of the line in slope intercept form?
You must justify your response.
Answer:
y = 2x + 2
Step-by-step explanation:
The slope of the line is 2 because you go up 2 and to the right 1. The y-intercept is 2, which where the line intersects through the y-axis.
Slope-intercept form:
y = mx + b
m is the slope of the line and b is the y-intercept
Factor the expression below. x 2 − 12 x + 36 A. (x + 6)(x + 6) B. (x − 6)(x + 6) C. 6(x2 − x + 6) D. (x − 6)(x − 6)
Answer:
D) = (x - 6 )(x - 6)
Step-by-step explanation:
x^2 - 12x + 36
= x^2 -6x -6x + 36
= x(x - 6) -6(x - 6)
= (x - 6 )(x - 6)
Answer:
[tex]\boxed{\tt (x-6)(x-6)}[/tex]
Step-by-step explanation:
To factor x²−12x+36 we need to find two numbers that add together to get -12 and multiply together to get 36:-
Let's try -6 and -6:-
[tex]\tt -6+-6 = -12[/tex]
[tex]\tt -6\times -6 = 36[/tex]
[tex]\tt (x-6)(x-6)[/tex]
_________________
Hope this helps!
Have a nice day!
ANSWER ASAP PLEASE
Little Susie is standing at the top of a lighthouse. She is 96 feet above the ocean. She tosses a ball into the air. The height, h, of the ball after x seconds is given by
h = -16t + 64t + 96 . (there is no t^2 on my question but i think -16 is meant to be t^2 because it's quadratics... PLEASE help...)
a. What is the ball's height after 0.5 seconds?
b. How many seconds does it take to reach maximum height? What is the maximum height?
c. How many seconds does it take for the ball to land in the ocean?
Use complete sentences when explaining or justifying your solutions. Neatly show all algebra work, and upload any pictures or files that support your work.
When t=2+√110/4, the ball will be 50 feet height above the ocean.
What is height?Height is the measurement of someone or something from the top to toe or the base to head.height always refers to something is mesured either its high or low.
As per the given question
Because h=-16t^2+64t+96
So when h = 50
It means -16t^2+64t+96 =50
-16t^2+64+46=0
8t^2-32t-23=0
{∆=b^2-4ac,x= -b+√∆/2a}
So, ∆=(-32)^-4×8×(-23)=1760>0
So t =2- √110/4 <0
Thus tha answer is t = 2+√110/4
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