The answer for 7.36 + 2.23 + 4.86 is 14.35
Dominic's car used 8 gallons to travel 192 miles. At what rate does the car use gas, in
miles per gallon?
Answer:
24 miles per gallon
Step-by-step explanation:
to find the unit rate you divide 192 by 8 and that is 24
so it takes Dominic 1 gallon to drive 24 miles
hope this helps!
What is the correct ratio? *
Answer:
The correct ratio is 40/41
A state trooper temp track of the number of speeding ticket he gave out each week over the course of seven weeks in the table below 1 38 2 33 3 51 5 57 6 38 7 40 which of the following statements best describes the data in the table
Answer:
B: The center of data is shown by the mean, which is 43.
Step-by-step explanation:
Add up all the digits (33+38+38+40+44+51+57)/7=43 the mean. The mean is always teh center of data so it's B. Hope this helps.
The original price of a pair of shoes is $60. The sale price is 25% off the original price. What is the amount off of
the original price?
A sphere with a diameter of 9 units fits exactly in the clear glass cube as shown.
A sphere is inside of a cube. The cube has side lengths of 9 units.
Which expression represents the volume, in cubic units, of empty space in the cube?
Four-thirdsπ(4.53) – (4.5)3
(9)3 – Four-thirdsπ(4.52)
Four-thirdsπ(4.53) – (9)3
(9)3 – Four-thirdsπ(4.53)
Answer:
D
Step-by-step explanation:
The volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.
What is a sphere?It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.
[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
A sphere with a diameter of 9 units fits exactly in the clear glass cube.
Diameter = 9 units
The radius r = 9/2 units
The volume of the sphere:
[tex]\rm V = \dfrac{4}{3} \pi (9/2)^3[/tex]
[tex]\rm V = \dfrac{4}{3} \pi (4.5)^3[/tex]
The volume of cube = a³
a is the side length
The volume of the cube = (9)³
The volume, in cubic units, of empty space in the cube:
[tex]=(9)^3- \rm \dfrac{4}{3} \pi (4.5)^3[/tex]
Thus, the volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.
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If the value of the complementary angles are 5x and 20, what is the value of x? ANSWER QUICKLY PLS
Answer:
4 5x4 =20
Step-by-step explanation:
Answer:
wouldn't it be 4?
Step-by-step explanation:
Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the -score for each of the five observations (to 2 decimals). Enter negative values as negative numbers. Observed value -score
Answer:
Hence, the score for each of the five observations are [tex]-1.25,1.25,-0.75,0.50,0.25[/tex]
Given :
Sample with data values of [tex]x_i[/tex] [tex]10,20,12,17[/tex] and [tex]16[/tex]
Sample size[tex]n=5[/tex]
To find:
Compute the score for each of the five observations.
Explanation :
[tex]\because[/tex] Sample mean [tex]\bar{x}=\frac{\sum x_i}{n}[/tex]
[tex]\Rightarrow \bar{x}=\frac{10+20+12+17+16}{5}=\frac{75}{5}[/tex]
[tex]\Rightarrow \bar{x}=15[/tex]
Standard deviation [tex]\sigma=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5-1}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{(-5)^2+(5)^2+(-3)^2+(2)^2+(1)^2}{4}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{25+25+9+4+1}{4}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{64}{4}} =\sqrt{16}[/tex]
[tex]\Rightarrow \sigma=4[/tex]
[tex]\because[/tex] The score of the observations [tex]Z[/tex] is [tex]\frac{x-\bar{x}}{\sigma}[/tex].
So, when [tex](x=10),[/tex] [tex]Z=\frac{10-15}{4}=-1.25[/tex]
when [tex](x=20),[/tex] [tex]Z=\frac{20-15}{4}=1.25[/tex]
when [tex](x=12),[/tex] [tex]Z=\frac{12-15}{4}=-0.75[/tex]
when [tex](x=17},[/tex] [tex]Z=\frac{17-15}{4}=0.50[/tex]
when [tex](x=16)[/tex] [tex]Z=\frac{16-15}{4}=0.25[/tex]
42 42 52 53 58 58 61 what is the mean
Answer:
exact: 366/7
approximate: 52.3
Step-by-step explanation:
mean = (42 + 42 + 52 + 53 + 58 + 58 + 61)/7 = 366/7 = 52.3
What is the mode of the data?
8
3
7
5
the mode of this data is 7
Answer:
The mode of this data is 5.
Step-by-step explanation:
5 has more x
1. The U.S. Department of Agriculture reported a random sample of 36 Americans consumed an average of 69 gallons of carbonated beverages per year. Assume that the population standard deviation is 20 gallons. Find the 95% confidence interval for the number of gallons of carbonated beverages consumed per year by Americans.(round the final answer to 3 decimal places.)
Answer:
Hence, the confidence interval is [tex](63.517,74.483)[/tex] gallons.
Given :
Sample size[tex]=36[/tex]
Sample mean [tex]=69[/tex] gallons
Standard deviation [tex]=20[/tex] gallons
So, the standard error [tex]=\frac{20}{\sqrt{36}}=20/6=3.33[/tex]
Confidence level [tex]=95\%[/tex]
To find :
The [tex]95\%[/tex] confidence interval for the number of gallons of carbonated beverages consumed per year by Americans.
Explanation :
[tex]\because[/tex] Confidence interval [tex]=(\text{Sample mean}-\text{margin error},\text{Sample mean}+\text{margin error})[/tex]
Margin error [tex]=Z_{\frac{\alpha}{2}}\times\frac{\sigma}{\sqrt{n}}[/tex]
Here, [tex]\alpha=1-95\%=1-0.95[/tex]
[tex]\Rightarrow \alpha=0.05\Rightarrow \frac{\alpha}{2}=0.025[/tex]
[tex]Z_{\frac{\alpha}{2}}=Z_{0.025}=1.645[/tex] from the [tex]z-[/tex]table.
So, Margin error [tex]=Z_{\frac{\alpha}{2}}\times\frac{\sigma}{\sqrt{n}}[/tex]
[tex]=1.645\times\frac{20}{6}=1.645\times3.33[/tex]
[tex]=5.483[/tex]
Therefore, the confidence interval is:
[tex](69-5.483,69+5.483)[/tex]
[tex]=(63.517,74.483)[/tex] gallons.
3sin²60°+3/4cot²30°-2cosec²60°-3/4tan²30°=19/12{Full process , please^^}
Answer:
3( root 3 /2)^2 + 3/4 (root 3 )^2 - 2(2/ root 3) ^2 - 3/4 (1/root3)^2
= 3 ×3 /4 + 3 × 3 /4 - 2 ×4 /3 - 3/4 × 1/3
= 9/4 + 9/4 -8/ 3 - 1/4
= 9/4 + 9/4 - 1/4 - 8/3
= 17/4 - 8/3
=( 17 × 3 - 8 × 4 )/12
= (54 -32)/12
= 19 /12
Part 3. Use side to determine if the triangles in each pair are similar. If so, complete the similarity statement. NO LINKS.!!!!
9514 1404 393
Answer:
1) Not Similar
2) Not Similar
Step-by-step explanation:
1) The side length ratios, shortest to longest, are ...
VU : UW : WV = 27 : 39 : 52 (reduced)
DC : CE : ED = 12 : 19 : 24 (reduced)
The side length ratios are different, so the triangles are NOT SIMILAR.
__
2) The side length ratios, shortest to longest are ...
MK : KL = 13 : 19 (reduced)
HK : KG = 6 : 9 = 2 : 3 (reduced)
The side length ratios are different, so the triangles are NOT SIMILAR.
Answer:
2) The side length ratios, shortest to longest are .. MK : KL = 13: 19 (reduced) HK : KG = 6:9 = 2:3 (reduced) The side length ratios are different, so the triangles are NOT SIMILAR.
PLEASE HELP! IT’S 40 POINTS! What is the area of this octagon?
A. 72 cm2
B. 59 cm2
C. 42 cm2
D. 38 cm2
E. 31 cm2
Answer:
B) 59 cm²
Step-by-step explanation:
4x8=32
2x3=6
3x7=21
32+6+21=59 cm²
Add or subtract. Th S. 29 + 46
Answer:
Add I think
If there is a plus sign shouldnt it be adding
HELP PLS I NEED HELP
Answer:
is that a unit assesment?
Step-by-step explanation:
PLEAS HELP!!! The function f(x) = 500(0.75)^x represents the amount of a 500-mg dose of
medication remaining in a patient's system x number of hours from the time the patient
took the medication. Which percent is the rate of decrease of the medication?
A. 75%
B. 25%
C. 7.5%
D. 2.5%
the answer is b
cccxcxcxcxcxzczczxc
The percentage of the rate of decrease in the medication will be 75%. Option A is correct.
What is an exponential function?The exponential function is characterized as a function that increases quickly and whose value is always positive. With the exponent y = aˣ, where a is the constant and a>1.
It is given that the function is,f(x) = 500(0.75)ˣ. The number x represents the number of hours since the patient took their medication.
f(x) = 500(0.75)ˣ
Compare the function with the standard function as
y=baˣ
Where b is the constant value, a is the percent of the rate of decrement and x is the time period,
The value of a for the given function will be 0.75. The value is in percentage form and can be written as,
=0.75 ₓ 100
=75%
Thus, the medication's rate of decline will be 75%. Option A is correct.
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reduced to lowest terms.
44 nickels to 11 dimes
Answer:
4 nickels to 1 dime
Step-by-step explanation:
the steps are in the pic above I gotta get this to 20 characters bye!
ANSWER FAST
SHOW YOUR WORK
1. 9.5 + x = 14.2
Answer:
4.7
Step-by-step explanation:
14.2 - 9.5 = 4.7
hope that helps!
ABCD FECG
B
5
х
6
100
5
A
60°
o
F
4 120°
G
D
x = [?]
Answer:
12
Step-by-step explanation:
The required value of x is 12
Data from the picture
ABCD≈FECG
AB = x FG= 4
BC = 10 EF = 6
EC = 5
Quadrilateral is four sided shape as given in the picture in question.
Since ABCD is congruent to FECG
by property
AB/EF = BC/EC
= x/6=10/5
x = 2 x 6
x = 12
Thus, the required value of x = 12.
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Help me plss. ASAP, ty
Answer:
A) 16 / 9 B) 7/9
Step-by-step explanation:
If f(x)=1−x^2 +x^3 , then f(−1)=
Answer:
f(-1) = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 1 - x² + x³
f(-1) is x = -1 for the function f(x)
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-1) = 1 - (-1)² + (-1)³Exponents: f(-1) = 1 - 1 - 1Subtract: f(-1) = -1
20 lb >, < , =304 OZ
Helppp plzzzzzz!!!!!!
Answer: a
Step-by-step explanation:
How many tryouts weighed MORE THAN 450 grams?
Answer:
11
Step-by-step explanation:
Basically count each doubt that is on the number line with a value greater than 450
Answer:
11 trouts
Step-by-step explanation:
Count the dots that are after the 450-gram mark.
Trouts that weigh 452 = 5
Trouts that weigh 454 = 2
Trouts that weigh 456 = 2
Trouts that weigh 458 = 1
Trouts that weigh 460 = 1
Then, add everything up.
5 + 2 + 2 + 1 + 1 = 11
So, 11 trouts weigh more than 450 grams.
Have a wonderful day!
please help me!! its due at 8pm
Answer:
1. 1,538.60 cm³
2. 314.00 m³
Step-by-step explanation:
1. Given:
Diameter = 14 cm
Radius (r) = ½(14) = 7 cm
height (h) = 10 cm
π = 3.14
Volume of cylinder = πr²h
Plug in the values
V = 3.14*7²*10
V = 1,538.60 cm³
2. Given:
Radius (r) = 5 m
Height (h) = √(13² - 5²) = √144 = 12 m
π = 3.14
Volume of cone = ⅓πr²h
Plug in the values
V = ⅓*3.14*5²*12
V = 314.00 m³
Find the AREA.
help I need help fast I have 15 minutes
Answer:
78
Step-by-step explanation:
a= (a+b/2)(H)
9+17=26/2=13x6= 78
do bedmas
hope this helps
Which figures will have a volume that is greater than 100 cubic units? Select two options. a rectangular prism with dimensions of 4 by 5 by 4 a rectangular prism with dimensions of 2 by 12 by 6 a rectangular prism with dimensions of 1.5 by 8 by 8 a triangular prism that is 6 long and has a triangular face with a base of 4 and a height of 12 a cube with side length 4.
Answer:
Options-2
Option-4
Step-by-step explanation:
two options have Volume greater than 100 units³
Options-2:remember the formula of Volume of rectangular prism
l×w×hgiven that,
width:2length:12height:6thus substitute:
2×12×6simplify multiplication:
144 units³since 144>100 it's one of our answer
Option-4:remember the formula of triangular prism
½×b×h×lgiven:
b:4h:12l:6Thus substitute:
½×4×12×6simplify multiplication:
144since 144>100 it's our answer
the other options don't satisfy the condition
The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The two figures that will have a volume greater than 100 cubic units are:
A rectangular prism with dimensions of 2 by 12 by 6
Volume = length x width x height
= 2 x 12 x 6
= 144 cubic units
A cube with a side length 4
Volume = side x side x side
= 4 x 4 x 4
= 64 cubic units
Therefore,
The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.
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1) Which choice best represents the height of a clothes dryer. A 1 meter B kilometer c1 centimeter D. 1 millimeter
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Answer:
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Step-by-step explanation:
Answer:
Hi
Step-by-step explanation:
Thanks so much for the free p0ints! hereś a meme to make you laugh!
PLS HELP yxyx 115 x Х y=[ ? ]
Answer:
y=25
Step-by-step explanation:
the straight line is 180
so, 180-115=65
so, now we know x=65
triangle =180
180-65-90=25