Answer: the answer is 12
Use the line plots to answer each question.
1) The line plot below shows the sizes of
different insects (in inches).
What is the difference in size between the
shortest and longest insect?
Teacher's salaries in Georgia are normally distributed with an average salary of $52,000 with a standard deviation of $12,000. What percentage of teachers earn an a salary between $40,000 and $76,000?
Answer:
81.85%
Step-by-step explanation:
We have the following information:
mean = m = 52000
standard deviation = sd = 12000
a = 40000
b = 76000
we need to find the probability between a and b, that is:
P (a <x <b) = P (40,000 <x <76000)
P [(40000 - m) / sd <(x - m) / sd <(76000 - m) / sd]
replacing
P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]
P (-1 <z <2)
P (z <= -1) - P (z <= 2)
We look for this value of z, in the attached table:
0.9772 - 0.1587
P = 0.8185
In other words, the probability is 81.85%
Which of these are expressions?
298
22 x 3
7x = 63
a + b + c
0
Step-by-step explanation:
An expression is something like 7x=63
If a line has a slope of 4 and contains the point (-2, 5), what is its equation in point-slope form?
The equation of a line with a slope of 4 that passes through the point (-2, 5) in point-slope form is y - 5 = 4(x + 2).
To find the equation of a line in point-slope form given a slope and a point through which the line passes, we use the formula:
y - y₁= m(x - x₁)
where m is the slope of the line, and (x₁ , y₁) is the point on the line. For the given slope of 4 and point (-2, 5), we substitute into the formula:
y - 5 = 4(x + 2)
This is the correct answer for the equation of the line in point-slope form.
Starting from the same
location, one bird flew 12
miles west and another
bird flew 4 miles north.
Find the direct distance
between the birds.
Answer:
The direct distance between the birds is 12.64 miles.
Step-by-step explanation:
We have, one bird flew 12 miles west and another bird flew 4 miles north. It is required to find the direct distance between the birds. It means we need to find the resultant of two displacement. It can be given by :
[tex]d=\sqrt{12^2+4^2} \\\\d=12.64\ \text{miles}[/tex]
So, the direct distance between the birds is 12.64 miles.
Jose bought 6 chicken wings for $2. What was the cost of the wings in wings per dollar?
Answer:
0.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
or 1/3
Step-by-step explanation:
Marcus lives in New York City. He can walk 5 blocks to the recreation center in 10 minutes.
At this speed, how many blocks can Marcus walk in 30 minutes? Complete the table.
Answer:
he would be able to walk 15 blocks
Step-by-step explanation:
30 is 3 times more than 10, so he can walk 3 times as the amount
Answer:
Step-by-step explanation:
si rrecorre 5 cuadras en 10 minutos en 10 cuadras son 20m 15C son 30
Pythagorean what is x and y
Answer:
x = Square root of 3........y=2
Step-by-step explanation:
So this is a VERY special triangle...you can just search special triangles and that will pop up....so there is really no explanation
Note: Is that from Rsm? and by the way, I'm in middle school XD
A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the smaller number. Which equations represent the situation? 2 x minus y = negative 6 and 3 x minus y = negative 5 2 x minus y = negative 3 and 3 x minus y = negative 5 2 x minus y = negative 6 and x minus 3 y = 5 2 x minus y = negative 3 and x minus 3 y = 5
Answer:
2 x minus y = negative 6 and 3 x minus y = negative 5
Step-by-step explanation:
y = 2(x+3) = 2x + 6 or 2x - y = -6
y = 5 + 3x or 3x - y = -5
The equations that represent the situation is: 2 x minus y = negative 6 and 3 x minus y = negative 5
From the given information:
Let the smaller number be x; then the word problem can be expressed as:
y = 2(x + 3) ---- (1)y = 5 + 3x ---- (2)From (1), if we open the brackets, we have:
y = 2x + 6-2x + y = +6multiplying through by (-), we have:
2x - y = -6Also, from equation (2)
y = 5 + 3xBy rearrangement
y - 3x = 5-3x + y = 5Multiplying through by (-), we have:
3x - y = -5Therefore, we can conclude that the equations that represent the situation is: 2 x minus y = negative 6 and 3 x minus y = negative 5
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Nadalia and her 4 friends want to share the cost of a meal equally. They order 2 large pizzas and 5 small drinks. If they leave a tip of $6.40, how much does each person pay?
Small drinks are $6 and large pizzas are $13.
Answer:
$15.60
Step-by-step explanation:
Total cost:
2(13) + 5(6) + 6.40
$62.40
Divide into 4:
62.40/4
$15.60
David is buying a cheese wheel priced at $650 before tax. The store charges 8%, percent sales tax.
What is the total price, including tax, David pays for the cheese wheel?
Answer:
Pretty sure it would end up being $702 including tax
Step-by-step explanation:
650 * 0.08 = 52
52 + 650 = 702
PLEASE HELP NEED THIS NOW AAAAA
-282 - (+1,017)=?
Answer:
-1299
Step-by-step explanation:
-282-1017
Answer:
-1299
Step-by-step explanation:
-282 - 1017 = -1299
(-282) + (-1017)
Hope this helps ^-^
Which statement is true about the equation (x – 4)(x + 2) = 16?
The equation x - 4 = 16 can be used to solve for a solution of the given equation.
The standard form of the equation is x2 - 2x - 8 = 0.
The factored form of the equation is (x + 4)(x – 6) = 0.
One solution of the equation is x=-6.
Answer:
The factored from of the equation is (x+4)(x-6)=0.
Step-by-step explanation:
When solving this problem, we need to find the factored form of this problem. Remember that in factored form, the right-hand side of the equation must equal to 0.
We can simply convert the left-hand side to standard form first:
(x-4)(x+2)=16 --> x²-2x-8= 16.
Now, to set the right-hand side of the equation to 0, we must subtract -16 from both sides:
x²-2x-24=0.
Now, if we convert this to factored form, we will get:
(x+4)(x-6)= 0.
All of the other statements are false. This is the only true statement.
Help me with this and you will be awarded handsomely.
Answer:
1. 51
2.25
3.104
4.31
5.41
Step-by-step explanation:
In triangle ABC, a=10, b=8, and sinB=(3/4). Find sinA
Answer:
15/16
Step-by-step explanation:
To find the value of Sin A can be found using the sine rule. the rule states that the ratio of the length facing an angle in a triangle to the sine of the angle is constant. As such,
a/Sin A = b/Sin B = c/Sin C
Where is a is the side facing angle A, b is the side facing angle B and c is the side facing angle C.
Hence,
8/(3/4) = 10/Sin A
Sin A = 3 * 10 / (8 * 4)
= 30/32
= 15/16
Write the explicit formula for the geometric sequence.
a1 = −5, a2 = 15, a3 = −45
Answer:
[tex]a_{n}=-5(-3)^{n-1}[/tex]
Step-by-step explanation:
A geometric sequence or progession is defined as a sequence where each term can be found by multiplying a factor with the first term.
In this case, the first term is -5, the second term is 15 and the third term is -45.
[tex]a_{1}=-5\\a_{2}=15\\a_{3}=-45[/tex]
To find the factor, we divide the second term by the first, and the third term by the second.
[tex]\frac{15}{-5}=-3[/tex]
[tex]\frac{-45}{15}=-3[/tex]
As you can notice, the factor is -3, so [tex]r=-3[/tex].
Now, the explicit formula of this sequence can be found with
[tex]a_{n}=a_{1}r^{n-1}[/tex]
Where [tex]n[/tex] refers to the n-th term.
Replacing values, we have
[tex]a_{n}=-5(-3)^{n-1}[/tex]
Therefore, the explicit formula of the geometric sequence is
[tex]a_{n}=-5(-3)^{n-1}[/tex]
Which can be used to find any other term in the sequence.
Which number is the additive inverse of –5? – One-fifth 0 Negative one-fifth 5
Answer:
The additive inverse is 5
Step-by-step explanation:
What to we add to -5 to get it to be 0
-5 +x = 0
We add 5
-5+5 =0
Answer:
It is five
Step-by-step explanation:
Find an equation of a line with slope 1/5 passing through the point (10,9)
Answer:
(x, y)
(10,9)
We know the linear equation formula is y = mx + b
m is the slope, which we know to be 1/5
Plug in the coordinates to find b.
x = 10 y = 9
9 = 1/5(10) + b
9 = 2 + b
-2 -2
---------------
7 = b
Final equation: y = 1/5x + 7
Step-by-step explanation:
The equation of a line with slope 1/5 passing through the point (10,9) is 'y = 1/5x + 7'. This was found using the point-slope form of a line equation.
Explanation:To find an equation of a line with a given slope passing through a specific point, the point-slope form of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point, can be used.
In this case, the slope m = 1/5 and the point given is (10,9).
Therefore, the equation of the line can be found by substituting these values into the point-slope form:
y - 9 = 1/5(x - 10)
By distributing the slope on the right hand side, we get y - 9 = 1/5x - 2. Adding 9 to both sides gives the final equation:
y = 1/5x + 7
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File with question is attached. Whoever answers gets a Brainly Crown!
Answer:
B. r ≤ -8
Step-by-step explanation:
First solve the inequality.
-2r + 3 ≥ 19
Subtract 3 from both sides.
-2r ≥ 16
Divide both sides by -2. But wait. Don't forget to flip the greater than sign when you divide an inequality by a negative number!!
r ≤ 16/-2
See how we flipped the greater than to a less than because the inequality was divided by a negative number on both sides?
r ≤ -8
So the answer is B.
An angle measures 50° more than the measure of its supplementary angle. What is the measure of each angle?
An angle measures 50° more than the measure of its supplementary angle. However, there are no angles that satisfy this condition.
Explanation:An angle measures 50° more than the measure of its supplementary angle.
To solve for the measure of each angle, we can set up an equation:
Let x be the measure of the angle, and let y be its supplementary angle.
Since the sum of the measures of two supplementary angles is 180°, we can write the equation:
x = y + 50°
Substituting y + 50° for x in the equation, we get:
y + 50° = y
Subtracting y from both sides, we get:
50° = 0
Since there is no solution to this equation, it means that there are no angles that satisfy the given condition.
The smaller angle measures 65° while the larger angle measures 115°.
Let's denote the measure of the smaller angle as x degrees. Since the angles are supplementary, their sum must be 180 degrees. Thus, the measure of the larger angle will be (x + 50) degrees.
Using this information, we can form the following equation:
x + (x + 50) = 180
Simplify the equation:
2x + 50 = 180
Subtract 50 from both sides:
2x = 130
Divide both sides by 2:
x = 65
Therefore, the measures of the angles are:
Smaller angle: 65°Larger angle: 115° (because 65° + 50° = 115°)The grades on a history midterm at Almond are roughly symmetric with \mu = 85μ=85mu, equals, 85 and \sigma = 2.0σ=2.0sigma, equals, 2, point, 0. Michael scored 868686 on the exam. Find the z-score for Michael's exam grade. Round to two decimal places.
Answer:
0.50
Step-by-step explanation:
The z-score for Michael's exam grade is 0.5.
Explanation:To find the z-score for Michael's exam grade, we can use the formula: z = (x - µ) / σ, where x is the value of Michael's grade, µ is the mean, and σ is the standard deviation.
Plugging in the given values,
we get z = (86 - 85) / 2 = 0.5.
Therefore, the z-score for Michael's exam grade is 0.5.
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What are the solutions to this equation?
7x2 − 28 = 0
Answer:
x = 2 or x = -2
Step-by-step explanation:
7x^2 - 28 = 0
7x^2 = 28
x^2 = 28/7 = 4
x = root(4) or x = -root(4)
x = 2 or x = -2
Answer:
x=-2 & x=2
Step-by-step explanation:
PLATO
What is the answer to this math problem?
Answer: 25%
Step-by-step explanation:
1/4= 0.25
out of the numbers only 9 is not less than 9 so it is P.
1 out of all the four numbers is P.
PLEASE HELP!!!
You install two antivirus programs in your computer. One of the programs has a reliability of 65%, while the other one has a reliability of 51%. What is the probability that neither program will be effective when a virus attacks your computer?
Answer:
Here's a screenshot from Plato
Explanation:
Plato
Which equation can be used to solve for m, the greater
integer?
Max buys 25 books at the rate of $ 252.55 per book. How much did he spend?
Answer:
$6,313.75
Step-by-step explanation:
All we have to do for this problem is multiply 25 by 252.55
25 * 252.55 = 6313.75
So, Max spent $6,313.75 on books.
Max can spend $6,313.75 total to buy the books at the of $ 252.55 per book.
What is mean by Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition is called multiplication.
We have to given that;
Max buys 25 books at the rate of $ 252.55 per book.
Here, cost of one book = $252.55
Now, We get;
Total cost of 25 books is,
Since, Cost of 1 book = $252.55
Hence, We get;
Cost of 25 books = 25 x $252.55
= $6,313.75
Therefore, Max can spend $6,313.75 total to buy the books at the of $ 252.55 per book.
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Find the mode of this data set
18.33.25,36,35,31, 19, 30,23,28.33
Answer:
33
Step-by-step explanation:
So I just put them in order....18,19,23,25,28,30,31,33,33,35,36
and you can see that 33 pops up twice when the others only pop up once..so the answer is 33
what’s equivalent for x to the power of -3 that uses positive exponents?
A. x to the power of -3
B. x to the square root of 3
C. 1 over x to the power of 3
D. 1 over x to the power of 1/3
Answer:C
Step-by-step explanation:
When using negative exponents, I’m you flip the number to the opposite side numerator to denominator in this case. So you would have 1 over x to the third power.(1/x^3)
What is the median in the box plot?
A box-and-whisker plot. The number line goes from 50 to 100. The whiskers range from 68 to 94, and the box ranges from 70 to 80. A line divides the box at 76.
10 1/12 + 6 2/3 =
(ANSWER SIMPLIFIED & AS MIXED NUMBER!)
Answer:
16 3/4 orrrrrrrr 67/4
Step-by-step explanation:
10 1/12 + 6 8/12
you need to change the denominators to be the same so you can add them