Answer:
V = 945.7 cm^3
Step-by-step explanation:
I'm assuming the carton is a rectangular prism/has right angles. The volume formula for a rectangular prism is V = lwh, where l = length, w = width, h = height.
Substitute known values into this formula:
V = 7 × 7 × 19.3
V = 945.7 cm^3
Genevieve brought $35.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/6 as much as the sketchbook, and the sketchbook cost 3/4 the cost of the paint set. Genevieve had $2.00 left over after buying these items.
The cost of the brush is $2.25, the cost of the sketchbook is $13.50, and the cost of the paint set is $18.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the brush cost is $B, the sketchbook cost is $S, and the paint set cost is $P.
From the problem, we can draw three linear equations in three variables:
The brush was 1/6 as much as the sketchbook:
B = (1/6)S or
6B - S = 0 ...(1)
The sketchbook cost 3/4 the cost of the paint set
S = (3/4)P or
4S - 3P = 0 ...(2)
The total cost would be:
B+S+P = 35.75 - 2
B+S+P = 33.75 ...(3)
After solving equations (1), (2), and (3) we will get the cost of each item:
B = $2.25
S = $13.50
P = $18
Thus, the cost of the brush is $2.25, the cost of the sketchbook is $13.50, and the cost of the paint set is $18.
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Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.
Test H0 : μ1=μ2 vs Ha : μ1≠μ2 using the sample results x⎯⎯1=15.3, s1=11.6 with n1=100 and x⎯⎯2=18.4, s2=14.3 with n2=80.
(a) Give the test statistic and the p-value.
Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.
The test statistics and the p-value from the research sampling will be 1.57 and 0.119.
What is test statistic?It should be noted that a test statistic simply means a number that's used to describe how the observed value is far from the null hypothesis.
In this case, the test statistics is 1.57. The p value will be:
= 2 × 0.0593
= 0.119
Therefore, the test statistics and the p-value from the research sampling will be 1.57 and 0.119.
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Help with number 11-please
Step-by-step explanation:
11.
-165 + 3217 + 65
what I see right away is the equality of the 2 digit positions between -165 and +65. I can immediately combine them to -100.
and then the rest is easy : 3217 - 100 = 3117.
173 + (-43) + (-97)
I see that -43 and -97 combine nicely too: I can take the -3 of -43 and add this to -97, which gives me -100, while it leaves -40 on the former -43 side. it is now easy to combine these to -140.
and 173 - 140 is again easy to calculate : 33
27% of the high school graduating class of 2010 went on to a 2-year college, 41% went on to a 4-year college, and the remaining 32% did not go on to college. Of these who went on to a 2-year college, 52% worked at the same time, 32% of these going on to a 4-year college worked, and 78% of those who did not go on to college worked.
What percentage of those working had not gone on to college?
Step-by-step explanation:
so, let's find the % of graduates, who worked after graduation.
there are 52% of 27% in 2-year college.
there are 32% of 41% in 4-year college.
there are 78% of 32% in no college.
52% of 27% is 27×0.52 = 14.04%
32% of 41% is 41×0.32 = 13.12%
78% of 32% is 32×0.78 = 24.96%
so, in total, 24.96+13.12+14.04 = 52.12% of the high school graduates worked after graduation.
from all these (52.12%) working graduates,
24.96/52.12×100 % = 47.8894858...% ≈ 47.89%
did not go to a college
What is the solution to this equation? Round your answer to two decimal
places.
25x= 59
A. 1.18
B. 1.84
ОО O
C. 0.89
D. 1.26
Answer:
See attachment. Also, I got 2.36 as the answer with my calculator despite that not being on the multiple choice list
5. Solve the logarithmic equation by writing in exponential form or by graphing. Round to the nearest
log (3x + 1) = 2
0.667
33.667
33
0.333
Answer:
It's b
Step-by-step explanation:
NO LINKS!! Please help me with this problem
Answer:
-6(x-1)^2+9
Step-by-step explanation:
This function is in vertex form, or a(x-h)^2+k. In this equation, h is the horizontal translation, where positive h is right and negative h is left. To translate this function 6 units left, you can subtract 6 from the current h.
6 units left means change in x axis
x is shifted 6 units leftwards
Hence new translation
g(x)=-6(x-7+6)²+9g(x)=-6(x-1)²+9What type of triangle has only two congruent sides?
Group of answer choices
Scalene triangle
Equilateral triangle
Isosceles triangle
Equiangular triangle
last question pls help :))
Answer:
4/5
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
45 degrees.
Step-by-step explanation:
The first angle is 90. 180-90 is 90. 90/2 is 45.
Which pair of angles must be supplementary?
The pair of angles that must be supplementary, in the diagram given is: ∠2 and ∠5.
What are Supplementary Angles?Supplementary angles are two angles whose sum equals to 180 degrees.
m∠2 + m∠5 = 180° (each equals 90°)
Therefore, the pair of angles, ∠2 and ∠5 are supplementary angles in the diagram given because their sum equals 180 degrees.
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As people entered the gym for the basketball tournament, members of the pep club were selling raffle tickets. They had $1.50 tickets and $5 tickets. The number of $1.50 tickets sold was two less than four times the number of $5 tickets sold, and the pep club raised $1,152 from the ticket sales. Let x represent the number of $1.50 tickets sold and let y represent the number of $5 tickets sold. Which equations best represent the situation? Check all that apply. x = 4y – 2 y = 4x – 2 x + y = 1152 1.5x + 5y = 1152 x = 2 – 4y y = 2 – 4x
Answer:the answer is AandD
Step-by-step explanation:
Answer:
A,D
Step-by-step explanation:
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?
y < Two-thirdsx + 3
y > Three-halvesx + 3
y > Two-thirdsx + 3
y < Three-halvesx + 3
Answer:
(c) y > 2/3x + 3
Step-by-step explanation:
Shading to the left of a line with positive slope is the same as shading above that line. That, and the fact that the line is dashed, means the inequality will be of the form ...
y > ( ) . . . . . . the solution set is y-values greater than those on the line
__
There are two choices in this form. You can see which one will include the point (-3, 1) on the boundary line:
y > 3/2x +3
y > (3/2)(-3) +3 = -3/2 . . . . . not 1. This is not the correct inequality
y > 2/3x +3
y > (2/3)(-3) +3 = 1 . . . . . . . the inequality we're looking for
Answer:
its C (on edge 2021)
y > 2/3x + 3Step-by-step explanation:
i took the test
Carmen needs to memorize words on a vocabulary list for German class. She has 18 words to memorize, and she is two-thirds done. How many words has Carmen memorizes so far?
What is the inverse of the function f(x)=(x+4) squared
What is the volume of this shape
904.78 [tex]yards^{3}[/tex]
Step-by-step explanation:The shape above is a sphere, the 3-D version of a circle.
Formula
The formula for the volume of a sphere is [tex]V=\frac{4}{3}\pi r^{3}[/tex], where V is the volume and r is the radius. Remember when using pi to use the pi button on the calculator to be precise.
Radius
The image above gives us the diameter. It shows the distance across the entire sphere is 12 yards. However, we need the diameter. Radius is equal to half of the diameter. So, the radius equals 6 yards.
Solving for V
Now that we have the information we need, we can plug in the values and solve.
First, rewrite the equation.
[tex]V=\frac{4}{3}\pi 6^{3}[/tex]Next, apply the exponents.
[tex]V=\frac{4}{3}\pi *216[/tex]Then, multiply out the terms.
[tex]V=904.78[/tex]This means that the volume of the sphere is 904.78 yards cubed.
At one university, the mean distance commuted to campus by students is 19.0 miles, with a standard deviation of 5.1 miles. Suppose that the commute
distances are normally distributed. Complete the following statements.
(ə) Approximately 99.7% of the students have commute distances between__miles
and__miles
(b) Approximately ??
of the students have commute distances between 8.8 miles and 29.2 miles.
The approximately 99.7% of the students have commute distances between 13.9 miles and 24.1 miles, the area within two standard deviation is 95%
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
a) We have:
mean u = 19.0 miles,
[tex]\rm \sigma = 5.1 \ miles[/tex]
According to the empirical rule, the area between [tex]\mu - \sigma[/tex] and [tex]\mu + \sigma[/tex] is 99.7%
[tex]\mu - \sigma = 19- 5.1 = 13.9[/tex]
[tex]\mu + \sigma = 19+5.1 = 24.1[/tex]
b) = P(8.8 < X < 29.2)
[tex]\rm P(\dfrac{8.8-\mu}{\sigma } < \dfrac{X-\mu}\sigma < \dfrac{29.2-\mu}{\sigma})[/tex]
[tex]\rm P(\dfrac{8.8-19}{5.1} < Z < \dfrac{29.2-19}{5.1})[/tex]
P(-2 < Z < 2)
Thus, the approximately 99.7% of the students have commute distances between 13.9 miles and 24.1 miles, the area within two standard deviation is 95%
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A rectangle is 8 millimeters wide and 27 millimeters long. What is the area of this rectangle? 70 mm² 166 mm² 216 mm² 223 mm²
Answer:
216 mm^2.
Step-by-step explanation:
Area = width * length
= 8 * 27
= 216 mm^2.
Installment Loan
Principal
$1500.00
Term Length
4 years
How much of the first
payment for the
installment loan
6% shown in the table will
go towards interest?
Interest Rate
Monthly Payment
$35.00
Answer:
32.90
Step-by-step explanation:
Write the following list of events as an expression and then simplify.
$80 deposit, $78 deposit, $97 withdrawal, $12 deposit
Please enter the expression (without simplifying) in the left hand box labeled "Initial Expression". Enter the simplified expression in the right hand box, labeled "Simplified Expression".
initial expression:
simplified expression:
Step-by-step explanation:
Initial expression = 80 + 78 + (-97) + 12
final expression = 170-97 ==> $73
pls heeeeeeeeeeelp 20 pointsssssssssssssssssssssssssssss
Answer:
A)
Step-by-step explanation:
891u9283131983 > 3298423492u49
this is correct :)
The height of a tree is 56 inches. After 5 years, the height is 10 feet 11 inches. How many inches did the tree grow each year?
In the duration of 5 years, the tree grows 15 inches each year
Calculating the rate of growthFrom the question, we are to determine how many inches the tree grows each year
First, we will calculate the difference in height
Initial height = 56 inches
Final height = 10 feet 11 inches = 131 inches
Difference in height = 131 inches - 56 inches
Difference in height = 75 inches
Now, for the rate at which the tree grows each year,
The rate at which the tree grows each year = 75 inches / 5 year
The rate at which the tree grows each year = 15 inches/year
Hence, the tree grows 15 inches each year.
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Find the area of the rhombus.
Answer:
12 is the correct answer
Step-by-step explanation:
diameter is 12
purchase is financed by five annual payments of $1,000 the first payment due at time of purchase. The effective rate of discount, d, is 10%. Find the total amount of interest paid.
Answer:
they paid a total of 590.49
Step-by-step explanation:
1000 / 10 = 100 dollar discount he pays 900
900 / 10 = 90 they got a 90 dollar discount 810
810 / 10 = 81 they got an 81 dollar discount 729
729 / 10 = 72.9 they got a 72.9 dollar discount 656.1
656.1 / 10 = 65.61 they got a 65.61 dollar discount 590.49
Find the missing coordinate t
y=-x (10,)
Answer:
The missing coordinate t is equal to -10.
General Formulas and Concepts:
Algebra I
Coordinate Graph
Coordinates (x, y)Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyley = -x \\\text{Point } (10, t)[/tex]
Step 2: Find t
[Equation] Substitute in x-coordinate:∴ we have found the missing t coordinate (y-coordinate) to be equal to -10.
___
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___
Topic: Algebra I
my company wants to produce 2234 models each day. one employee can make a single model car in 5 minutes. we work 6 hours a day. how many employees do i need to hire?
Answer:
The Answer IS 32 Employees
Step-by-step explanation:
No of cars produced in an Hour = 12 Cars
No or cars produced in a day by one employee = 12*6 = 72
No of employees needed = 2234 / 72 = 31.02
= 32 Employees
(Note that the 0.02 petcent notes for some cars so we need another employee)
Mark Brainliest PWEESE
Solve triangle d, angle F and angle E when e=10, d=16.4, f=13, angle D=50
Answer:
P=a+b+c
the given triangle using the Law of Sines. Round lengths to the nearest tenth and angle measurements to the nearest degree.
Someone please help me?
Answer:
62 degrees or A
Step-by-step explanation:
90=28+2x
62=2x
x=31
2x=31*2
2x=62
Simplify -2 + 3(1-4)-2
Answer:-13
Step-by-step explanation:-2+3(1-4)-2
-2+3×-3-2
-2-9-2
-11-2
-13(hope this helps also if u want can u make thithis the brainliest?:))
List any three even natural numbers and verify that each can be written in the form 2m, where m is any natural number.
Step-by-step explanation:
8 can be written as 2(4)
16 can be written as 2(8)
32 can be written as 2(16)
Answer:
Can be any number but for example: (2,4,8)
Step-by-step explanation:
Given a natural number is any whle number
ex. 1,2,3,4,5,etc
Therefore, any number can be placed in the equation 2m and it will remian a natural number
