Answers
Answer:
Step-by-step explanation:
surface area of cuboid=2(l*b+b*h+h*l)
=2(15*15+15*7+7*15)
=2(225+105+105)
=2*435
=870
Related Questions
how many minutes are there in 3/4 hours
Answers
Answer:
45 minutes
Step-by-step explanation:
60 minutes in one hour divided by four will give us 1/4
60/4=15
15*3= 45
45=3/4 of an hour
sum of the arithmetic sequence 8,14,20 if there are 24 terms
Answers
Answer:
1,848
Step-by-step explanation:
Find the arithmetic pattern:
*Arithmetic means addition or subtraction*
To get from 8 to 14, we must add 6.
To get from 14 to 20, we must add 6.
The arithmetic pattern is 6.
List the rest of the terms (24 terms total):
8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 80, 86, 92, 98, 104, 110, 116, 122, 128, 134, 140, 146
Formula:
Sn = n (a1 + an/2)
a1 = first term
an = last term
n = number of terms
Sn = 24 (8 + 146/2)
Sn = 24 (154/2)
Sn = 24 (77)
Sn = 1,848
Answer:
1848
Step-by-step explanation:
a=8
d=14-8=6
n=24
[tex]S_{n}=\frac{n}{2} [2a+(n-1)d]\\S_{24}=\frac{24}{2} [2 \times 8+(24-1)6]\\=12[16+138]\\=12 \times 154\\=1848[/tex]
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
Answers
Answer:
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Step-by-step explanation:
Complete question
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
Solution :
The null hypothesis is basically the problem statement that needs to be tested.
Alternate hypothesis is opposite of that of null hypothesis
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Candice cycles 2 kilometers during each trip to work. How many trips will Candice have to
make to cycle a total of 4 kilometers?
Answers
Answer:
2
Step-by-step explanation:
Find the perimeter of the semi circle window to the nearest tenth.
20 cm
Answers
Answer:
628.3 cm
Step-by-step explanation:
The window has a semicircle shape = half of a circle
Perimeter of the window = ½(πr²)
Radius (r) = 20 cm
Plug in the value
Perimeter of the window = ½(π*20²)
= ½(π*400)
Perimeter of the window = 628.31853 ≈ 628.3 cm (nearest tenth)
A system of equations that had had no solution is called a(n) ______ system.
Answers
Answer:inconsistent
Step-by-step explanation:
there is no explanation its just vocab
Evaluate the expression when t is 4.
Equation: 3 x 2t
Answers
Answer:
Step-by-step explanation:
3*2t
substitute the value of t
=3*2*4
=24
Answer:
24
Step-by-step explanation:
so you do
3x 2(4) subsuite the t for the 4
then do 2*4= 8
then d0 3x8= 24
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Answers
Answer:
x=10
Step-by-step explanation:
If x=4.5 when y is 9, x is always half of y. x^1 /y^1 = x^2/ y^2
is 1/2 = 1/4
What is 0.851 rounded to the nearest hundredth?
Answers
Answer: 0.85 hope this helps
Step-by-step explanation: plz mark brainlest
A local steakhouse served 625 customers over a weekend. The distribution of each customer's food purchase is non-normal. The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. Suppose that a random sample of 315 customers are selected from the weekend's customers. Would it be appropriate to model the distribution of the sample mean with a normal model?
No. The mean distribution theorem states that the sampling distribution of the sample mean can only be modeled by the non-normal model because the population distribution is non-normal.
There is not enough information to make assumptions regarding the distribution of the sample mean.
Yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough, regardless of the shape of the population distribution.
No. The central limit theorem states that the sampling distribution of a sample mean can only be modeled by a normal model if the sample size is large enough and the shape of the population distribution is normal.
Yes. The mean distribution theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough regardless of the population distribution.
Answers
Answer:
yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Step-by-step explanation:
In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.
The answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Option (B) is correct.
It is required to find the appropriate to model the distribution of the sample.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.
Given that:
A local steakhouse served 625 customers over a weekend.
The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. random sample of 315 customers are selected from the weekend's customers.
In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.
So, the answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Learn more about arithmetic here:
https://brainly.com/question/23907399
#SPJ2
Question 4 of 10, Step 1 of 1
Correct
How much simple interest would be paid on a loan of $10,140 at 8 % for 5 months? Round your answer to nearest cent. assume 360 days in a year 30 days in a month
Answers
Answer:
338
Step-by-step explanation:
10,140x.08=811.20 annual interest
811.20/360 x 150(5 months)=338
Bob went to a baseball game the game started at 9:41 a.m. and it was 3 hours and 43 minutes long when did the game end
Answers
Answer:
The game ended at 1:24 p.m.
Step-by-step explanation:
The table shows a soccer team’s number of wins, losses, and ties. A 2-column table with 3 rows titled Soccer Statistics. Column 1 has entries wins, losses, ties. Column 2 has entries 15, 5, 2. What do the ratios 15:5 and 15:22 represent? 15:5 compares losses to wins and 15:22 compares games to wins. 15:5 compares wins to losses and 15:22 compares wins to games. 15:5 compares wins to losses and 15:22 compares wins to ties. 15:5 compares wins to ties and 15:22 compares wins to games.
Answers
Answer:
The answer is C
Answer:
Step-by-step explanation:
the answer is 15:5 compares wins to losses and 15:22 compares wins to ties. HOPE THIS HELPS
A machine can package 5950 boxes of cereal in 7 hours. how many boxes is the machine packing per hour?
Answers
Answer:
850 boxes per hour hope that helps
Answer: 250 boxes of cereal per hour
Work: All i did was divide the 5950 boxes by the 7 hours. After that, I got the quotient 250.
The steps in evaluating 8÷(6−4)+32 are:
Answers
36
pemdas rule
paranthesis first
8 ÷ 2 + 32
then division
4 + 32
then addition
36
What are the vertex, focus, and directrix of the parabola with the equation x2+8x+4y+4=0
Answers
x² +8x +4 = -4y
x² +8x +16 -12 = -4y
(x+4)² -12 = -4y
y = (-1/4)(x +4)² +3
From this, we see the vertex is (-4, 3).
The scale factor, (-1/4) is 1/(4p), where p is the distance from the vertex to the focus. Solving for p, we have
-1/4 = 1/(4p)
p = -1 . . . . . multiply by -4p
So, the focus is 1 unit below the vertex. The focus is (-4, 2).
The directrix is the same distance from the vertex, but in the opposite direction, hence the directrix is y = 4.
_____
On a graph, if all you know is the vertex, you can draw a line with slope 1/2 through the vertex. It intersects the parabola at the y-value of the focus. Then the distance from that point of intersection to the axis of symmetry (where the focus lies) is the same as the distance from that point to the directrix.
Every point on the parabola, including the vertex and the point of intersection just described, is the same distance from the focus and the directrix. This point of intersection is on a horizontal line through the focus, so finding the distance is made easy.
hey this is my first post, does anyone know how to do this and find V?
Answers
Answer:
16
Step-by-step explanation:
8/1/2
8 divided by 1/2
8 x 2/1 = 16
Answer:
Step-by-step explanation:
P=8/V
1/2=8/V
do cross multiplication
2*8=V*1
16=V
Find the standard form of the equation of the circle with endpoints of a diameter at the points (7,8) and (-3,6). Type the standard form of the equation of this circle
Answers
Answer:
The equation of the circle is [tex](x - 2)^2 + (y - 7)^2 = 21[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle, with center [tex](x_0,y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Diameter at the points (7,8) and (-3,6).
The diameter is the distance between these two points, so:
[tex]D = \sqrt{(-3-7)^2+(6-8)^2} = \sqrt{104}[/tex]
Radius is half the diameter, so:
[tex]r = \frac{\sqrt{104}}{2} = \frac{\sqrt{104}}{\sqrt{4}} = \sqrt{\frac{104}{4}} = \sqrt{21}[/tex]
So
[tex]r^2 = (\sqrt{21})^2 = 21[/tex]
Center:
Midpoint of the diameter, which is the mean of the coordinates. So
[tex]x_0 = \frac{7 - 3}{2} = \frac{4}{2} = 2[/tex]
[tex]y_0 = \frac{8 + 6}{2} = \frac{14}{2} = 7[/tex]
Then
[tex](x - 2)^2 + (y - 7)^2 = 21[/tex]
The shorter leg of a right triangle is 5 cm shorter than the longer leg. The hypotenuse is 5 cm longer than the longer leg. Find the side lengths of the triangle.
Answers
Answer:
suppose
h is hypotenuse
l is longer leg
s is shorter leg
Step-by-step explanation:
l-s=5
l+5-10=s
now solve by linear equation
Find the exact value of cos 30° in simplest form with a rational denominator.
Answers
Answer:
[tex]\cos(30) = \frac{\sqrt3}{2}[/tex]
Step-by-step explanation:
Required
Exact value of [tex]\cos(30)[/tex]
[tex]\cos(30)[/tex] is calculated from an equilateral triangle, divided into with the following dimensions
[tex]Hypotenuse = 6[/tex]
[tex]Adjacent = 3[/tex]
[tex]Opposite = 3\sqrt 3[/tex]
So:
[tex]\cos(30) = \frac{3\sqrt3}{6}[/tex]
[tex]\cos(30) = \frac{\sqrt3}{2}[/tex]
A special offer at the grand opening of a new theater has tickets discounted at 8%.
If the tickets sell for $12, how much will you pay after the discount?
Answers
Answer:
you would pay $11.04
Step-by-step explanation:
$12 x .08= .96
$12 - 0.96 = $11.04
Answer:
11.04
Step-by-step explanation:
So, a ticket cost 12$.
We need to find the price when it of 8% off, whihc is tecnically 92% of the orginal price.
Putting this into decimal form:
0.92
So to find this price, we need to multiply the orginal price by the percentage:
12*0.92
0.02*12 is 2*24 adding 2 decimals which equals 0.24
0.9*12 is 12*9 adding 1 deecimal which equals 10.8
Add them together: 0.24+10.8 = 11.04
So 11.04 is our new cost.
Hope this helps!
What are the year-2 CPI and the rate of inflation from year 1 to year 2 for a basket of goods that costs $25.00 in year 1 and $25.50 in year 2? NEED FAST REALLY IMPORTANT IF CORRECT WILL MARK AS BRAINLIEST
Answers
Answer:
The answer is A, the CPI is 25.50, and the rate of inflation is 2%.
Step-by-step explanation:
I took the test and I know the correct answer. :)
Answer:
E) 102 and 2%
Step-by-step explanation:
side lengths and angle measures in similar figures
Answers
Step-by-step explanation:
You can see the full detailed explanation in the attached files
The graph of the function f(x) = (x - 3)(x + 1) is shown.
Answers
Answer:
the second one
Step-by-step explanation:
y is postitive when x < -1 and x > 3, but y is decreasing only when x < 1 so the case where both are true is when x < -1 option 2
1. Annel sells a phone which costs $180 and earns 5% commission. What is the dollar
amount of commission that Annel earns?
A $189
B $9
C $109
D $90
Answers
Answer:
B) $9
Step-by-step explanation:
5% can also be written as 0.05
Dividing a percentage by 100 gives you decimal form.
The question is asking for the amount of commission earned, not the total amount. This means that all we have to do is do:
$180 x 0.05 = $9
Helppppp 78 squared to the 3rd
Answers
1.the ratio if the weight of an object on mars to its weight in earth is 9 to 25.If a person weighs 160pouns on earth,how much would the person weigh on mars?
Answers
Answer:
57.6 Pounds
Step-by-step explanation:
Weight on Earth = 160 pound
Weight on Mars = (9/25)*160 pound
= 57.6 pounds
Help with this math image below
Answers
The answer is 'Right'.
Step-by-step explanation:
Sum of angles in a triangle = 180°
Angle C = 180 - 58 - 32
= 90°
90° is defined as a right angle.
Therefore, triangle ABC is classified as a right-angled triangle.
How do you use this formula???
Please be specific.
I'll give you brainlist, I PROMISE!
A=P(1+r)^n
Answers
Answer:
Arithmetic Finance.
Compound interest
Step-by-step explanation:
when you're given the year sequence, principal and rate.
Answer:
Step-by-step explanation:
A = P ( 1 + r)^ n
This formula is used to find the Amount in Compound interest.
P --- Principal - the value we are depositing or taking loan
r - rate of interest
n --- number of years
A- amount that we get after n years or the loan to paid after n years
What is x 7x + 9 = 30
Answers
Answer:
x=3
Step-by-step explanation:
7x+9=30
7x=30-9
=21
x=21÷7
=3