Answers
Related Questions
When mrs. myles gave a test, the scores were normally distributed with a mean of 72 and a standard deviation of 8. this means that 95% of her students scored between which two scores?
Answers
68% of data is within 1 std deviation of the mean
95% of data is within 2 std deviation of the mean
99.7% of data is within 3 std deviation of the mean
In this case 95% of the cases would be within two std deviations of the mean
mean - 8 and mean + 8
72 - 8 = 64 and 72 + 8 = 80
then 95% of the scores are between 64% and 80% on the test.
Ariel wants to write 8 entries for her blog. After 2 hours, she has 5 entries left. After 4 hours, she has 2 entries left. Which graph represents Ariel's remaining entries?
graph of line going through (0, 0) with a slope of 1.5
graph of line going through (0, 2) with a slope of 2
graph of line going through (0, 8) with a slope of 1.5
graph of line going through (0, 3) with a slope of 3
Answers
It is because, between two intervals of two hours, she did the entry for 3 blogs so, 1.5 Blog per hour. and Lower & upper limits are 0 & 8 respectively as mentioned in the question!
Hope this helps!
Let x be a time in hours and y be an amount of remaining entries. You have that:
At start Ariel wants to write 8 entries for her blog. This means that x=0 and y=8 (0 entries were written). The point with coordinates (0,8) belongs to needed graph.After 2 hours, she has 5 entries left. This gives you that at x=2, y=5 and graph passes through the point (2,5).After 4 hours, she has 2 entries left. This gives you that at x=4, y=2 and graph passes through the point (4,2).Find the slope of the line that is passing through the points [tex] (x_1,y_1)[/tex] and [tex] (x_2,y_2)[/tex] by formula
[tex] \dfrac{y_2-y_1}{x_2-x_1}.[/tex]
Thus, the slope is
[tex] \dfrac{5-2}{2-4}=-1.5.[/tex]
Answer: graph of line going through (0, 8) with a slope of -1.5
Express the area of this triangle as a monomial.
(picture below)
A. 28x^2
B. 1x
C. 11x^2
D. 14x^2
Answers
Area=height ×base/2
Area=7x.4x/2
Area =14x^2
The formula for getting the area of a triangle is A = 1/2(b*h).
So let us plug in the given values.
A = 1/2(4x)(7x)
A = 1/2 (28x2)
A = 14x^2
Therefore, the correct answer would be option D. The area of this triangle expressed in monomial is 14x^2. Hope this answer helps.
An airplane flies 3/4 of a mile in 1/8 of a minute what is the airplane speed in miles per minute
Answers
Answer:
Step-by-step explanation:
Use proportions to figure this out. On the top you'll have miles and on the bottom you'll have minutes. I am going to change 3/4 to .75 and 1/8 to .125:
[tex]\frac{miles}{minute}:\frac{.75}{.125}[/tex]
We want to know how many miles per 1 minute that is. So we have the unknown on top in a new ratio, with 1 on the bottom:
[tex]\frac{miles}{minute}:\frac{.75}{.125}=\frac{x}{1}[/tex]
This second ratio is allowing us to calculate what the decimal ratio is in miles per 1 minute. Cross multiply to get
.125x = .75 so
x = 6 miles
That tells us that the decimal ratio is equivalent to 6 miles per minute
salina was at a party and she noticed that the room had 54 balloons. for every red balloon there were 2 yellow balloons and 3 blue balloons. how many blue balloons were there?
Answers
1:2:3
Then we add them up to make 6, and then divide 54 by 6 to get 9, which is 1 in terms of the ratio. Now we can do 9 × 3 which is 27, which is the amount of blue balloons. Hope this helps!
Answer:
27 blue balloons
Step-by-step explanation:
Salina was at a party and she noticed that the room had 54 balloons.
For every red balloon there were 2 yellow and 3 blue balloons.
This is written in the form of ratio as = 1 : 2 : 3
First we calculate the number of red balloon.
54 / (1 + 2 + 3)
= 54 / 6 = 9 red balloons
For every red balloons there were 3 blue balloons.
Therefore, Blue balloons = 9 × 3 = 27 blue balloons
27 blue balloons were in the room.
Which of the following is equivalent to 4.5 m?
Select one:
a. 450 km
b. 450 cm
c. 0.45 km
d. 45 cm
Answers
"Find the constants m and b in the linear function f(x) = mx + b so that f(2) = 10 and the straight line represented by f has slope -5."
Answers
f(x) = mx + b m = slope = -5 f(2) = 10 = (-5)(2) + b b = 10 + 10 = 20 Ans. m=-5, b = 20
The initial number of veiws for a reader board was 25. The number of views is growing at a rate of 18% per week.
What is the number of views expected to be four weeks from now?
Round to the nearest whole number.
Answers
Answer:
The answer is 48
Step-by-step explanation:
At the time of 0 there are 25 views are exist for a reader board. If the growing rate is %18 than;
[tex]25*1,18=29,5[/tex]
There is no 0,5 view is exist than we need to round up to 30. 30 views for a reader board are exist. Than we need to repeat it for future three weeks.
[tex]30*1,18=35,4[/tex]
Second week its 35
[tex]35*1,18=41,3[/tex]
Third week its 41
[tex]41*1,18=48,38[/tex]
Forth week it goes up to 48 views.
pleas help this problem
Answers
it has beeen 6 months
6*5=30 paintings
needs 38
38-30=8 paintings more
she needs to complete 8 more paintings
Answer: she needs to complete 8 more paintings
Step-by-step explanation:every month she completes 5 paintings
it has beeen 6 months
6*5=30 paintings
needs 38
38-30=8 paintings more
Right isosceles triangles are similar.
Always
Sometimes
Never
Answers
Answer:
always
I just did it on my website
1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)?
a. -3
b. -2
c. -1/3
d. 1/3
2. A line has a slope -5/3. Through which two points could this line pass?
a. (12,13) (17, 10)
b. (16, 15) (13, 10)
c. (0, 7) (3, 10)
d. (11, 13) (8, 18)
3. The pair of points (6,y) and (10, -1) lie on a line with slope 1/4. What is the value of y?
a. -5
b. -2
c. 2
d. 5
4. What is the slope of a vertical line?
a. -1
b. 0
c. 1
d. Undefined
5. The table below gives the best cost per person to rent a fishing charter boat. Find the rate of change given that it is a constant. Also explain what the rate of change means for this situation.
People l Cost ($)
2 l 110
3 l 165
4 l 220
5 l 275
a. 1/55
b. 110/1
c. 1/275
d. 55/1
Answers
slope = (4 - 5) / (1 - (-2) = -1 / 3
2. (11,13)(8,18)
3. (6,y)(10,-1)
slope = (-1 - y) / (10 - 6) = (-1- (-2) / 4 = 1/4
y = -2
4. undefined
5. (2,110)(3,165)
slope = (165 - 110) / (3 - 2) = 55/1
this basically means that to rent a charter boat, it will cost 55 per person
The slope between points (-2, 5) and (1, 4) is -1/3. The pair of points (16, 15) and (13, 10) could lie on a line with a slope of -5/3. For a line with slope 1/4 passing through (6, y) and (10, -1), the value of y is 2. The slope of a vertical line is undefined. The rate of change in the charter boat cost is $55 per additional person.
Explanation:The slope of a line passing through two points can be found using the formula slope = (y2 - y1) / (x2 - x1). For the points (-2, 5) and (1, 4), the slope is (4 - 5) / (1 - (-2)) = -1 / 3, which is choice c, -1/3. For a line with a slope of -5/3, we can pick two points and use the slope formula to verify that the slope between them is -5/3. For example, using points (16, 15) and (13, 10), the slope would be (10 - 15) / (13 - 16) = -5 / -3, which is indeed 5/3, making choice b, (16, 15) (13, 10), correct.
For a pair of points (6, y) and (10, -1) lying on a line with slope 1/4, we can set up the equation 1/4 = (-1 - y) / (10 - 6) and solve for y to find that y = 2, so the answer is choice c, 2. The slope of a vertical line is undefined because the change in x is zero, hence choice d, Undefined, is the correct answer.
For the fishing charter boat cost problem, the rate of change or the cost per additional person is the difference in cost divided by the difference in the number of people. For example, for 3 and 2 people, the rate is (165 - 110) / (3 - 2) = 55, so the rate of change is 55 dollars per additional person, which is choice d, 55/1. This rate of change represents the additional cost for each extra person joining the fishing charter.
Learn more about Slope and Rate of Change here:https://brainly.com/question/28958619
#SPJ3
Stephan' sculpture is 7/12 foot tall. He attaches it to a base that is 1/3 foot tall. How tall, in feet, is the sculpture with the base?
Answers
Final answer:
To find the total height of Stephan's sculpture with the base, we add the heights represented by fractions with a common denominator to get an overall height of 11/12 feet.
Explanation:
To determine the overall height of Stephan's sculpture with the base, we simply need to add the height of the sculpture to the height of the base. The sculpture is 7/12 foot tall and the base is 1/3 foot tall. To add these two fractions together, we need to find a common denominator, which is 12 in this case. So, we convert 1/3 foot into 4/12 foot. Now we can add the two fractions:
7/12 + 4/12 = 11/12 feet
Therefore, the combined height of the sculpture and the base is 11/12 feet.
Write 4.4354 correct to 2 decimal places
Answers
The number 4.4354 correct to 2 decimal places is 4.44. The third digit, 5, indicates that the second decimal place is rounded up.
Explanation:The question is asking to write the number 4.4354 correct to 2 decimal places. When you're rounding a number to a certain number of decimal places, you look at the digit in the next spot decimal place. In this case, for two decimal places, we look at the third decimal. If this number is 5 or above, we 'round up' the second decimal place by one digit. If it is less than 5, we leave it as is. The third digit in this case is 5, so we 'round up' meaning the number 4.4354 written correct to 2 decimal places is 4.44.
Learn more about Rounding decimal places here:https://brainly.com/question/13770090
#SPJ2
Expand (4x-3y)^4 using pascal's triangle ...?
Answers
coefficients are: 1, 4, 6, 4, 1
a^4 + a^3b + a^2b^2 + ab^3 + b^4
Now adding the coefficients:
1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + 1b^4
Substitute a and b:
a = 4x
b = -3y
1(4x)^4 + 4(4x)^3(-3y) + 6(4x)^2(-3y)^2 + 4(4x)(-3y)^3 + 1(-3y)^4
Now simplify the above:
256x^4 - 768x^3y + 864x^2y^2 - 432xy^3 + 81y^4
the length of lisa's rectangular dining room is 12 feet. if the area of the room is at least 96 square feet, what is the smallest width the room could have?
Answers
96 divided by 12
8
Check work
12 times 8 = 96
ANSWER
8
A regular pentagon and a square share a mutual vertex B. The sides AB and BC are sides of a third polygon with vertex B. How many sides does this polygon have?
Answers
In a regular pentagon with equal sides and angles, the sum of the inside angles is 540 degrees. The third polygon P has 6 sides.
What is the Pentagon?In a regular pentagon with equal sides and angles, the sum of the inside angles is 540 degrees, and each angle is 108 degrees. Some actual items, including stars, soccer balls, and even street signs, contain pentagons.
Since P has a vertex at B, we can assume that its other sides emanate from B. Let's call the length of one of these sides x. Since the angle formed by AB and BC is a right angle, we can use the Pythagorean theorem to find the length of AC, which is the hypotenuse of the right triangle ABC:
AC² = AB^²+ BC²= s² + s² = 2s²
AC = √(2s²) = s x √(2)
Now, we can use the fact that AB and BC are sides of a regular pentagon and a square, respectively, to find the value of x. Since a regular pentagon has five sides of equal length, we know that AB is also a side of the Pentagon. Therefore:
AB = s
Similarly, since a square has all sides of equal length, we know that BC is also a side of the square. Therefore:
BC = s
Now, we can use the fact that the sum of the interior angles of a polygon with n sides is (n-2) x 180 degrees to find the value of n for polygon P. Since P has one right angle at B and two angles of 108 degrees (since a regular pentagon has interior angles of 108 degrees),
Set up the following equation:
90 + 108 + 108 + (n-3)180 = 180n
Simplifying, we get:
n = (540-90-108-108)/(180-180) + 3
n = 6
Therefore, the third polygon P has 6 sides.
To know more about Pentagon follow
https://brainly.com/question/27820883
#SPJ2
Sarah is bringing 12 cupcakes to a party and Bob is bringing another 8 cupcakes to a party. There will be a total of 10 people at the party. How many cupcakes can each person have at the party?
Answers
Which ordered pairs lie on the graph of the exponential function f(x)=128(0.5)x Question 1 options:
(0, 1)
(1, 64)
(3, 16)
(8, 0.5)
Answers
The ordered pairs lie on the graph of the exponential function is (3, 16).
What is Exponential Function?The formula f(x) = [tex]a^x[/tex]defines an exponential function, where x is the input variable as an exponent. The exponential curve is determined by the exponential function and the value of x.
We have,
f(x) = 180 (0.5[tex])^x[/tex]
Now, for x = 0,
So, f(x) = 128(0.5[tex])^0[/tex]
= 128(1)
= 128
Now, for x = 1,
f(x) = 128(0.5[tex])^1[/tex]
= 128(0.5)
= 256
Now, for x = 3,
f(x) = 128(0.5[tex])^3[/tex]
= 128(1/8)
= 16
So, the correct ordered pair is (3, 16).
Learn more about Exponential Function here:
https://brainly.com/question/7627151
#SPJ7
Brandon has two 9 cookies. Natalie has 2 less than cookies than Brandon. How many cookies does Natalie have ?
Answers
What mathematical relationship exists between human population and time
Answers
Find the distance between (4, 2) and (-4 ,-4).
A) 2
B)√10
C) 4
D) 10
Answers
Let f(x) = 8x3 - 28x + 61 and g(x) = 2x + 5. Find f(x) / g(x)
Answers
8x^3 - 28x + 61 | 2x + 5
-----------------------
- 8x^3 - 20x^2 4x^2 - 10x + 11x
---------------------------------
0 - 20x^2 - 28x + 61
+20x^2 +50x
------------------------
0 +22x +61
-22x -55
----------------
6
Then, the division is not exact and the result is 4x^2 - 10x + 11x with remainder 6, or:
4x^2 - 10x + 11x + [ 6/ ( 2x + 5)
The result of the division is:
[tex]\[\boxed{4x^2 - 10x + 11 + \frac{6}{2x + 5}}\][/tex]
To find [tex]\( \frac{f(x)}{g(x)} \)[/tex] where [tex]\( f(x) = 8x^3 - 28x + 61 \)[/tex] and [tex]\( g(x) = 2x + 5 \)[/tex], we need to perform polynomial division.
Polynomial Division
1. Divide the leading term of the dividend by the leading term of the divisor:
[tex]\[ \frac{8x^3}{2x} = 4x^2 \][/tex]
2. Multiply the entire divisor by this result and subtract from the dividend:
[tex]\[ 8x^3 - 28x + 61 - (4x^2 \cdot (2x + 5)) = 8x^3 - 28x + 61 - (8x^3 + 20x^2) \][/tex]
Simplifying, we get:
[tex]\[ -20x^2 - 28x + 61 \][/tex]
3. Repeat the process with the new polynomial:
[tex]\[ \frac{-20x^2}{2x} = -10x \][/tex]
4. Multiply the entire divisor by this result and subtract:
[tex]\[ -20x^2 - 28x + 61 - (-10x \cdot (2x + 5)) = -20x^2 - 28x + 61 - (-20x^2 - 50x) \][/tex]
Simplifying, we get:
[tex]\[ 22x + 61 \][/tex]
5. Repeat the process again:
[tex]\[ \frac{22x}{2x} = 11 \][/tex]
6. Multiply the entire divisor by this result and subtract:
[tex]\[ 22x + 61 - (11 \cdot (2x + 5)) = 22x + 61 - (22x + 55) \][/tex]
Simplifying, we get:
[tex]\[ 6 \][/tex]
Putting it all together, we have:
[tex]\[\frac{f(x)}{g(x)} = 4x^2 - 10x + 11 + \frac{6}{2x+5}\][/tex]
So, the result of the division is:
[tex]\[\boxed{4x^2 - 10x + 11 + \frac{6}{2x + 5}}\][/tex]
-(2.1c-4d). simplify the expression
Answers
= -2 (1.05c + 2d)
Not sure what exactly you want
Simplifying c = 1.904761905d <-- this is the answer
Joey had a summer job mowing lawns for 4 weeks. he made a total of $440. approximately how much did he make each week?
Answers
4x=$440
x= $440/4
x= 110
:)
Answer: $110
Step-by-step explanation: $110 is the correct approximation. The easiest way is to divide the total by 4, since 25% represents 1 /4 .
In the image, point A is the center of the circle. Which two line segments must be equal in length?
AH¯¯¯¯¯ and BC¯¯¯¯¯
HI¯¯¯¯ and BC¯¯¯¯¯
EF¯¯¯¯¯ and HI¯¯¯¯
EF¯¯¯¯¯ and AI¯¯¯¯
Answers
the true answer is
EF¯¯¯¯¯ and HI¯¯¯¯
proof
the line EF passes on A, and so does the line HI. both line are called diameter of the circle, that means
EF = HI
Answer: [tex]\overline{EF}=\overline{HI}[/tex]
Step-by-step explanation:
Given: In the image, point A is the center of the circle.
Therefore every straight line segments passing from one to another point of circle through the center of circle A is the diameter of the circle.
Since, [tex]\overline{EF}[/tex] and [tex]\overline{HI}[/tex] are the line segments passing from side to side of circle through the center of circle A is the diameter of the circle, then both are representing diameter of the given circle.
Since, all the diameter of a circle has a unique length .
Hence, the line segments must be equal in length :
[tex]\overline{EF}=\overline{HI}[/tex]
How to expand 5x(5 3x)?
Answers
Which is bigger, 0.25 or 0.6?
Answers
Talia took the bus from her home to the bank and then walked back to her home along the same route. The bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. To determine the time, x, that it took Talia to walk home, she used the equation 40(0.9 – x) = 5x.
Answers
Talia took approximately 0.8 hours, or 48 minutes, to walk home.
Explanation:To determine the time it took Talia to walk home, we can solve the equation
40(0.9 – x) = 5x.
First, distribute the 40 to get 36 - 40x = 5x.
Combine like terms to get 36 = 45x.
Divide both sides by 45 to solve for x.
Therefore, Talia took approximately 0.8 hours, or 48 minutes, to walk home.
Learn more about Equation solving here:https://brainly.com/question/17595716
#SPJ12
To solve the equation 40(0.9 – x) = 5x, distribute 40, combine like terms, and solve for x. Talia took 0.8 hours or 48 minutes to walk home.
Explanation:The subject of this question is Mathematics and the grade level is High School.
To solve the equation 40(0.9 – x) = 5x, we can start by distributing 40 to the terms inside the parentheses: 36 – 40x = 5x.
Then, we combine like terms by adding 40x to both sides: 36 = 45x.
Finally, we divide both sides by 45 to find that x = 36/45 = 0.8.
Therefore, it took Talia 0.8 hours, or 48 minutes, to walk home.
Learn more about Solving Equations here:https://brainly.com/question/14410653
#SPJ2
Find the value of y in the sequence 2, 8, 3y +5,...
1. If the sequence was arithmetic
2. If the sequence was geometric
Answers
Then we have the [tex]3y+ 5 = 14 y = 3[/tex]term = 14
2. If the sequence was geometric we had to know the common ratio = 8/2 = 4
So the answer is :[tex]3y + 5 = 32 3y = 27 y = 9[/tex]
In an arithmetic sequence, the common difference is constant. In a geometric sequence, the terms are obtained by multiplying the previous term by a constant ratio. In this case, the value of y in the sequence is 3 for an arithmetic sequence and 9 for a geometric sequence.
Explanation:In an arithmetic sequence, the difference between consecutive terms is constant. To find the value of y in the sequence 2, 8, 3y + 5, we observe that the common difference is 8 - 2 = 6. Therefore, we can set up the equation 8 - 2 = 3y + 5 - 8 to solve for y. Simplifying, we get 6 = 3y - 3. Solving for y, we have y = 3.
In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. To find the value of y in the sequence 2, 8, 3y + 5, we need to determine the common ratio. We can see that the ratio between 8 and 2 is 8/2 = 4. Therefore, we can set up the equation 8/2 = (3y + 5)/8 to solve for y. Simplifying, we get 4 = (3y + 5)/8. Multiplying both sides by 8, we have 32 = 3y + 5. Solving for y, we get y = 9.
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
7, -11, and 2 + 6i
f(x) = x4 - 53x2 + 468x - 3080
f(x) = x4 - 9x3 - 42x2 + 234x - 3080
f(x) = x4 - 117x2 + 468x - 3080
f(x) = x4 - 9x3 + 42x2 - 234x + 3080
Answers
The polynomial function of minimum degree with real coefficients that has the zeros 7, -11, and 2 + 6i is obtained by also including the conjugate zero 2 - 6i and multiplying the corresponding factors. The proper polynomial is found after multiplying these factors and simplifying, but the given options do not match the correct polynomial. There may be an error in the given options.
Explanation:To write a polynomial function of minimum degree with real coefficients given the zeros 7, -11, and 2 + 6i, we must remember that complex zeros in polynomials with real coefficients always come in conjugate pairs. Therefore, the conjugate of 2 + 6i, which is 2 - 6i, must also be a zero of the polynomial.
First, we write a factor for each zero: (x - 7), (x + 11), (x - (2 + 6i)), and (x - (2 - 6i)). Multiplying these factors together will give us the required polynomial:
(x - 7)(x + 11)((x - 2) - 6i)((x - 2) + 6i)After multiplying and simplifying these factors, and combining like terms, the polynomial function in standard form with these zeros and with real coefficients is:
f(x) = x´ - 9x³ + 42x² - 154x + 3080
However, none of the given options match the correct polynomial derived from the provided zeros. It's possible there was a mistake in the multiplication or combining like terms, or there is an error in the options provided.