Answer:
96
Step-by-step explanation:
PLEASE HELP
Graph the following equation:
y=1/4x-2
Answer:
see explanation
Step-by-step explanation:
-2 is your y-intercept so one point on your plot is (0,-2)
your slope is 1/4, rise/run
so from the y-int go up 1 and right 4, so another point is (-1,4)
and you can keep going up 1 and right 4 for as many points as you need.
A statistics class has 50 students and among those students, 42 are business majors and 8 like grilled cheese. Of the business majors, 3 like grilled cheese. Find the probability that a randomly selected statistics student is a business major or likes grilled cheese.
The answer is 0.94 !!!
The probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.94.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that the statistics class has 50 students and among those students, 42 are business majors, and 8 like grilled cheese. Of the business majors, 3 like grilled cheese.
The probability will be calculated as:-
P(AUB) = P(A) + P(B) - P(A[tex]\cap[/tex]B)
[tex]P(AUB)=\dfrac{42}{50}+\dfrac{8}{50}-\dfrac{3}{50}[/tex]
[tex]P(AUB) = \dfrac{50-3}{50}[/tex]
[tex]P(AUB)=\dfrac{47}{50}[/tex]
P(AUB) = 0.94
Therefore the probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.94.
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The dimensions of a box are 3 cm × 5 cm × 7 cm. The width, length, and height of the box must be increased by the same amount x in order for the box to have a volume of 693 cm cubed. Determine the value of x that will produce a box with a volume of 693 cm3
Answer:
its 6.6 (I think???)
Step-by-step explanation:
the volume of that box is 105 and 105 x 6.6 is 693. please forgive me if I'm wrong i havent learned this yet.
The dimensions of the new box are 7 cm, 9 cm, and 11 cm.
How to solveThe original volume of the box is 357 = 105 cm3. After the dimensions are increased by x, the new volume is (3+x)(5+x)(7+x) = 693 cm3.
Expanding the product gives [tex]x^3+15x^2+71x-588 = 0.[/tex]
This cubic equation can be solved for x, and the only real solution is x = 4.
Therefore, the value of x that will produce a box with a volume of 693 cm3 is 4. This means that the dimensions of the new box are 7 cm, 9 cm, and 11 cm.
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12 % of 140 = with explanation
Answer: 16.8
Step-by-step explanation: 12% of 140 = 16.8. (I’m not sure what I say for the explanation! Really sorry! But I hope I helped!)
Answer:
16.8
Step-by-step explanation:
12 % of 140
12/100×140
12×140/100
1680/100
16.8
So 16.8 is the answer
Jermaine Samson earns 6 1/2% commission
on sales of $5,600 selling flat screen TVs.
What is his commission?
$36,400
$3,640
$364
Answer:
364
Step-by-step explanation:
0.065 x 5,600
Answer:
$364
Step-by-step explanation:
multiply 0.065 by 5,600
Multiply. Do not round your answer. Be sure to include a decimal point in your answer.
1.7 · 11.59 =
Answer:
19.703
Step-by-step explanation:
Answer:
Step-by-step explanation:
11.59
* 1.7 Remove the decimal point 3 spaces (remember to add that at the end)
1159
* 17
________
8113
11590
_________
19,703 add the decimal space => 19.703
Help help help help help
Answer:
4.5 = 13.5
11/2 = 16 1/2
36 = 12
46.5 = 15.5
Step-by-step explanation:
hope this helped!
Find the missing dimension.
Use the scale 1: 15.
Item: Pipe
Model: Length: 5 ft
Actual: Length:___ft
Answer:
75ft
Step-by-step explanation:
Hello There! With the information given in the problem we can set up a ratio in order to help us solve for the actual length that the model is scaled upon.
This ratio can be written as:
[tex]\frac{1ft}{15ft}[/tex]
From this we just set up another ratio in relation to the original. In this one we will be solving for x.
[tex]\frac{1ft}{15ft}[/tex] x [tex]\frac{5ft}{x}[/tex]
After solving for x we find that the actual model should be roughly 75ft.
Hope this helps!
-HM
If y varies directly as the cube of x, and y=
54 when x = 3, find y when x= 5.
Answer:
250
Step-by-step explanation:
From the question given above,
y varies directly as the cube of x. This can be written as
y ∝ x³
y = Kx³
Next, we shall determine the value of the constant (K) as follow:
y = 54
x = 3
K =?
y = Kx³
54 = K × 3³
54 = K × 27
Divide both side by 27
K = 54/72
K = 2
Finally, we shall determine the value of y when x is 5. This can be obtained as follow:
x = 5
K = 2
y =?
y = Kx³
y = 2 × 5³
y = 2 × 125
y = 250
Therefore, the value of y is 250
if y varies directly as x and y= 6 when x= 10 find x when y=18
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
y ∝ x
y = kx
k = 0.6
The value of x when y = 18 is 30.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 5y is an equation.
2x + 4 + 9 is an equation.
We have
if y varies directly as x.
This can be written as,
y ∝ x
y = kx _____(1)
From (1),
y = 6 when x= 10
6 = 10k
k = 6/10
k = 0.6
Now,
y = 0.6x
when y = 18,
18 = 0.6x
Divide both sides by 0.6.
x = 18/0.6
x = 180/6
x = 30
Thus,
y ∝ x
y = kx
k = 0.6
The value of x when y = 18 is 30.
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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles
Answer:
First: 30°
Second: 67°
Third: 83°
Step-by-step explanation:
First: x
Second: y
Third: z = y + 16
Constraints:
x + y + z = 180
y + z = 5x ===> y = 5x - z
Substitution to find first angle x:
x + y + z = 180
x + (5x - z) + z = 180
x + 5x - z + z = 180
6x = 180
x = 30
Substitution to find second angle y:
y = 5x - z
y = 5(30) - z
y = 150 - z
y = 150 - (y + 16)
y = 150 - y - 16
y = 134 - y
2y = 134
y = 67
Substitution to find third angle z:
z = y + 16
z = (67) + 16
z = 83
Answer:
x=30 y=67 z=83
Step-by-step explanation:
The solution is therefore (30,67,83).
3 n - 5 p + 2 n = 10 p for n
Answer:
n = 3p
hope this works
PLS HELP WILL MARK BRAINLYEST
Step 1: Constructing and analyzing scatterplots
You keep track of the daily hot chocolate sales and the outside temperature each day. The data you gathered is shown in the data table below.
Hot Chocolate Sales and Outside Temperatures
Sales ($) $100 $213 $830 $679 $209 $189 $1,110 $456 $422 $235 $199
Temperature (°F) 92° 88° 54° 62° 85° 16° 52° 65° 68° 89° 91°
a) Make a scatterplot of the data above. (2 points)
b) Do you notice clusters or outliers in the data? Explain your reasoning. (2 points)
c) How would you describe the correlation in the data? Explain your reasoning. (2 points)
d) What are the independent and dependent variables? (2 points)
Step 2: Evaluating trends of data
Because you want to prepare and serve the healthiest food possible, you monitor the fat and calorie content of items on your menu. Some of the menu items are included in the graph below.
a) Your business partner describes this as a high positive correlation. Is your partner correct? Why or why not? (2 points)
b) Using the drawing tools, draw a trend line (line of best fit) on the graph above. (2 points)
c) Judge the closeness of your trend line to the data points. Do you notice a relationship between the data points? (2 points)
d) Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. (3 points)
Step 3: Making predictions using data
You and your business partner track the number of customers served and the amount of tips collected per day. The data you gathered is displayed in the chart below.
Servers’ Collected Tips
Customers 54 46 34 67 52 22 49 64 55 80 38 42
Tips ($) $92 $80 $76 $121 $109 $43 $87 $114 $99 $174 $88 $91
a) Create a scatterplot displaying the data in the table. Be sure to include a linear trend line. (2 points)
b) Find the equation of the trend line (line of best fit). Show your work. (2 points)
c) Predict the amount of tips that would be collected if 100 customers were served at the restaurant on a given day. Explain your reasoning. (2 points)
d) Explain how to use the regression calculator to make a reasonable prediction given a data table. (2 points)
Answer:
Chile you didn´t even try like why so many dang questions
Step-by-step explanation:
A .
b . Yes,I do 1,110 is a cluster because it’s a very large number for 52 degrees and 189 is because it’s a very large number for 16 degrees.
c . There is a negative correlation.
D . The dependent variable is sales and independent variable is the temperature.
A. yes my partner is correct because the line goes diagonally upwards.
B. The trend line lies on the points (0,100) and (15,900)D .
C . Yes do see a relationship. This line move one direction up. notice how the dots move up like an escalator.
D. Yes do see a relationship. This line move one direction up. notice how the dots move up like an escalator.
I didn´t finish the rest but i gave you some of it :)
Answer:
I can confirm the guy above me is correct ; )
Step-by-step explanation:
yur moma
What is 3 ÷ 2/5 ? I need your help please
Answer:
[tex]\frac{15}{2}[/tex]
Step-by-step explanation:
Answer:
0.3 or 3/10
Step-by-step explanation:
What is the value of g(f(-5))?
Replace x in the equation for f(x) with -5:
|2x +9| = |2(-5) +9| = |-10 +9| = |-1| = 1
Now find x 1 and see where the graph of G(x) crosses the Y :
It crosses ay Y = 5
The answer is A. 5
Answer:
The correct answer is A. 5.
Step-by-step explanation:
I got it right on the Edmentum test.
Can someone help with this one? You get 35 points
Answer:
the answer is d
Step-by-step explanation:
Lulu has to buy paper towels. She can buy 3 rolls for $2.97, 12 rolls for $10.80, or 20 rolls for $18.40. Assuming all the rolls are the same type of paper towel which is the best deal?
Answer:
The best deal is 12 rolls for $10.80
Step-by-step explanation:
2.97 divided by 3= $0.99 No
12 rolls for $10.80= $0.90 = $21.6 for 24 rolls
20 rolls for $18.40=$0.92=
0.92 times 4= $3.68
18.40+$3.68=$22.08 for 24 rolls
triangles ABC and DEF are similar
find the length of segment DF
Answer:
2.68
Step-by-step explanation:
In similar triangles, the corresponding sides are in same ratio
[tex]\frac{DF}{AC} =\frac{DE}{AB}\\\\\frac{DF}{4} = \frac{1.34}{2}\\\\ DF = \frac{1.34}{2}*4\\\\DF = 1.34 * 2 \\\\DF = 2.68[/tex]
otra forma de representar 42/9
Answer:
42/9=14/3
Step-by-step explanation:
Simplificación de Fracciones
Una fracción de la forma x/y puede ser representada de infinitas maneras, siempre y cuando produzcan el mismo resultado.
Por ejemplo, las fracciones 5/3 y 10/6 son equivalentes porque producen el mismo resultado. Obsérvese que tanto el numerador como el denominador en la segunda están multiplicados por 2.
Igualmente si tenemos 10/6, podemos obtener 5/3 dividiendo a ambos por 2.
La fracción 42/9 puede convertirse a una fracción equivalente dividiendo ambos términos por 3 para obtener 14/3
PLEASE HELP ITS A BENCHMARK TEST ILL GIVE BRAINIEST Four points, D. V. Q, and M, are all positive rational numbers that are not equal to one another.
Each point can be marked on a number line.
Use the following information to determine whether each statement about the locations of those points is true. Mark True or False for each statement.
Point D< Point V
• Point Q> Point V
• Point D > Point M
True
False
Statement
Point Q is farthest to the right on the number line.
Point D is farthest to the left on the number line.
Point Mis to the left of Point V.
Point V is to the left of Point D
Answer:
TRUE
FALSE
TRUE
FALSE
A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36.
Rachel needs two tables for her birthday party. How many chairs will she need?
Answer:
The answer is 12
Step-by-step explanation:
i got it right
Answer:
the answer is 12
Step-by-step explanation:
What is the complete factorization of 36y2 - 1?
A.
6(y + 1)(y- 1)
B.
(6y + 1)(6y-1)
O c. (6y-11²
OD. (-6)(y + 6)
Answer:
c
Step-by-step explanation:
A washing machine marked for $320 was sold at $280. What was the percentage of discount for the washing machine?
Answer:
the person who bought it saved 40 dollars and the percentage saved was 12.50 i just used a discount calculator on google
Step-by-step explanation:
Answer:
12.5%
Step-by-step explanation:
Autumn buys 9 bottles of orange juice at the corner store for a total cost of $10.71. If each bottle costs the same amount, how much is each bottle of juice?
Answer:
1.19$ each
Step-by-step explanation:
10.71/9= 1.19
segment E prime F prime has endpoints located at E'(1, 0) and F'(1, 3). segment EF was dilated by a scale factor of one half from the origin. Which statement describes the pre-image? segment EF is located at E (0.5, 0) and F (0.5, 1.5) and is half the size of segment E prime F prime. segment EF is located at E (1, 0) and F (1, 3) and is the same size as segment E prime F prime. segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime. segment EF is located at E (3, 0) and F (3, 9) and is three times the size of segment E prime F prime.
9514 1404 393
Answer:
C. segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime
Step-by-step explanation:
If the image is 1/2 the size of the original (scale factor = 1/2), the original is twice the size of the image. Each of the original coordinates is double the image coordinate value.
E(2, 0) = 2×E'(1, 0)
F(2, 6) = 2×F'(1, 3)
Answer:
segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime.
Step-by-step explanation:
just took test and got it correct
Let p be "Today is Friday" and let q be "Today is Wednesday."
Write in words the disjunction of the two statements. (Select all that apply.)
A. Today is Friday or Wednesday.
B. Today is not Friday or Wednesday.
C. Today is Friday or today is Wednesday.
D. Today is neither Friday nor Wednesday.
E. is not Friday or today is not Wednesday.
Answer:
Today is neither Friday nor Wednesday.A and C
I think this is correct
: )
Someone Help Me Please. ?
Answer:
c
Step-by-step explanation:
Answer:
The answer is B I think.
Step-by-step explanation:
Notebooks are priced 3.20 for 4 notebooks Pencils are priced 4.80 for 12 pencils calculate the unit rate for cost per pencil. Make sure you show your reasoning
Answer:
to find the answer for 1 pencil you just need to divide
Step-by-step explanation:
3.20$ divide by 4=0.8 /each pencil cost 0.8
4.80$ divide by 12=0.4 /each pencil cost 0.4
What would be the volume of a tree that has a radius of 2 feet and a length of 14 feet?
A. 87.92 cubic feet
B. 124.54 cubic feet
C. 175.84 cubic feet
D. 212.72 cubic feet
Answer:
C) 175.84 cubic feet
Step-by-step explanation:
V=πr^2h is the formula I used
I plugged in the numbers and solved
The volume of the tree with a radius of 2 feet and a length of 14 feet is
176 feet³.
What is a cylinder?A cylinder is a three-dimensional figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm
We have,
The tree is in the form of a cylinder.
Radius = 2 feet
Height = 14 feet
Now,
The volume of the tree.
= πr²h
= 22/7 x 2 x 2 x 14
= 22 x 2 x 2 x 2
= 22 x 8
= 176 feet³
Thus,
The volume of the tree is 176 feet³.
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Natalie walked 3/5 miles in 1/2 hour. How fast did she walk, in miles per hour?
Answer:
1.2 mph
Step-by-step explanation:
PLEASE MARK BRAINIEST