Answer:
1/25
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
probability of choosing a can of tomato and a can of cheese soup = probability of choosing a can of tomato x probability of choosing a can of cheese soup
total number of cans = 2 + 3 +2 + 2 + 1 = 10
probability of choosing a can of tomato = number of can of tomato / total number of cans
= 2/10 = 1/5
probability of choosing a can of cheese soup = number of can of cheese soup / total number of cans
= 2/10 = 1/5
1/5 x 1/5 = 1/25
The manager at the Fuel Stop gas station says that gas prices are decreasing across the country and their station will still make a profit as long as there is not a greater than 10% decrease in gas prices. Gas prices decreased this week from $4 per gallon to $3.80 per gallon. Will Fuel Stop continue to make a profit? Why or why not?
Answer:
they would continue to make a profit because the decrease in price is 5%
Step-by-step explanation:
HELPPP ARE IMA GET AH BEATING AHA TY
Use the simple interest formula to find the end balance. Round your answer to the nearest cent (hundredths place).
$55,000 at 2.5% for 5 years
a
$6,875
b
$68,750
c
$61,875
d
$123,750
Answer:
a) $6,875
Step-by-step explanation:
S.I. = P×R×T/100
= 55,000 × 2.5 × 5/100
= 687500/100
= $6,875
In the diagram below , if m
66
68
72
78
Answer:
∠ QST = 68°
Step-by-step explanation:
∠ QST + ∠ RSQ = ∠ RST , that is
∠ QST + 64° = 132° ( subtract 64° from both sides )
∠ QST = 68°
Find the measure of the angle between the vectors 〈6, –3, 1〉 and 〈8, 9, –11〉
A:90°
B:30°
C:84.8°
D:102.6°
Answer:
Option C.
Step-by-step explanation:
We know that for two vectors:
A = 〈a₁, a₂, a₃ 〉and B =〈b₁, b₂, b₃〉.
The dot product between A and B is:
A.B = IAI*IBI*cos(θ)
Where θ is the angle between the vectors.
And the dot product can be also written as:
A.B = a₁*b₁ + a₂*b₂ + a₃*b₃
With that, we can find the angle between our vectors.
In this case, the vectors are:
A = 〈6, –3, 1〉 and B = 〈8, 9, –11〉
The modules are:
IAI = √( 6^2 + (-3)^2 + 1^2) = 6.78
IBI = √( 8^2 + 9^2 + (-11)^2) = 16.31
And the dot product between A and B is:
A.B = 6*8 + (-3)*9 + 1*(-11) = 10
Then we have that:
10 = IAI*IBI*cos(θ) = ( 6.78)*(16.31)*cos(θ)
10/(6.78*16.31) = cos(θ)
Now remember the inverse cosine function, Acos(x), this function has the property:
Acos(cos(x)) = x
If we apply this to both sides, we get:
Acos(10/(6.78*16.31)) = Acos(cos(θ)) = θ = 84.8°
The correct option is C.
Express 759.285 to the nearest hundredth
759.3 when rounded
8 is the hundredth, since it's more than 5, you'll have to make 2 a 3
1/2x+3y=4 for x when y=6
Answer:
are you looking for the substiution
Step-by-step explanation:
In ΔWXY, the measure of ∠Y=90°, WY = 8, YX = 15, and XW = 17. What ratio represents the tangent of ∠X?
Answer:
8/17
Step-by-step explanation:
Use the formula L= 10 log 10 R, where Is the loudness of a sound and R is the sound's relative intensity. to find out how much louder 20 people talking would be than one person talking. Suppose the sound of one person talking has a relative intensity of 80 decibels.
Answer:
[tex]X=24.1decibels[/tex]
Step-by-step explanation:
From the question we are told that:
Loudness function [tex]L= 10 log_{10} R[/tex]
Sound of a person [tex]S_p=80\ decibels\ or 10^8[/tex]
Number of persons talking [tex]n=20 people[/tex]
Generally the Relative intensity for 20 people is mathematically given by
Relative intensity for[tex]R_{20}=[/tex][tex]20*10^8[/tex]
Relative intensity for[tex]R_{20}=[/tex][tex]20^8[/tex]
Generally the loudness for 20 people is mathematically given by
[tex]L_{20}= 10 log_{10} R[/tex]
[tex]L_{20}= 10 log_{10} 20^8[/tex]
[tex]L_{20}= 10 (8 log_{10} 20)[/tex]
[tex]L_{20}= 104.1 decibels[/tex]
Therefore increase in loudness X is given as
[tex]X=104.1-80=-52.90[/tex]
[tex]X=24.1decibels[/tex]
21 students in a dass wear spectacles. This is 60% of the total number of
students in the class. What is the total number of students in the class?
Answer:
There are 35 students in the class
Step-by-step explanation:
We would divide 21 by 60%
21/0.6 = 35 students.
Answer:
35 students are in the class
Step-by-step explanation:
21/x 60/100
cross multiply so you will get
2100 = 60x
divide each side by 60x
2100/60 = 35
21 students out of 35
help me out please im so confused
Math Question plz help
Answer: y = 4/5 - 6.2
y = mx + b
first get the 2 points and plug it in to the equation
y - y1 = m (x -x1)
y - 3 = 4/5 (x - 4)
y - 3 = 4/5x - 3.2
add 3 on both sides
y = 4/5 - 6.2
Step-by-step explanation:
Which is the same as moving the decimal point 3 places to the right in a
decimal number?
Answer:
[tex]x^{3}[/tex]
Step-by-step explanation:
answer for brainlest and 10 points
3. What is the slope of the line that passes through points (-6, 1) and (4,-4)?
Answer:
[tex]\boxed {\boxed {\sf m= \frac {-1}{2}}}[/tex]
Step-by-step explanation:
Slope is equal to the change in y over the change in x.
[tex]m= \frac {y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points the line passes through. We are given the points (-6, 1) and (4, -4). Therefore, if we match the values in the points to the corresponding variables:
x₁= -6 y₁= 1 x₂= 4y₂= -4Substitute the values into the formula.
[tex]m= \frac {-4-1}{4--6}[/tex]
Solve the numerator.
-4-1= -5[tex]m= \frac {-5}{4--6}[/tex]
Solve the denominator.
4--6= 4+6=1-[tex]m= \frac{-5}{10}[/tex]
Simplify the fraction. Both the numerator and denominator are divisible by 5.
[tex]m= \frac {-5/5}{10/5}[/tex]
[tex]m= \frac{-1}{2}[/tex]
The slope of the line is -1/2
Help please do sooon
Answer:
Mode = 8, Range = 7
Step-by-step explanation:
The majority of the plots fall in 8 misses.
Maximum minus minimum equals the range. So 9 - 2 = 7
Simplificación de la raíz cuadrada de 50
Answer:[tex]5\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{50}[/tex] ==>
2x25 ==> El 25 lo puedes reducir más ==> 5x5
Como el 5 tiene dos numero que se multiplican por si mismo se convierte en uno solo y va fuera de la raiz cuadrada.
Como el 2 que multiplicaste por 25 ya no se puede reducir y no tiene par, va adentro de la raiz cuadrada.
Resultado:
[tex]5\sqrt{2}[/tex]
Which two integers is √31 between?
Answer:
5 & 6
Step-by-step explanation:
The nearest two perfect squares are √25 and √36 which are 5 and 6
When x = 2 and y = 10 Write a formula for in terms of .
Answer:
y=mx-c
Step-by-step explanation:
follow to explain
choose the number that is equal to: 2/3 divided by (-3) A.)-2 B.) -2/9 C.)2/9 D.) 2
Step 1 of 2 : Suppose a sample of 879 new car buyers is drawn. Of those sampled, 210 preferred foreign over domestic cars. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
Step-by-step explanation:
Suppose a sample of 879 new car buyers is drawn. Of those sampled, 210 preferred foreign over domestic cars. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or a decimal number rounded to three decimal places.
en un parqueadero hay 360 vehículos automóviles y motocicletas. si 3/8 de los vehículos son motos ¿cuantos automóviles hay
Answer:
360 × 3 ÷ 8 = 135
360 - 135 = 225
what inequality is equivalent to 2/3x - 5 <11 ?
A rocket takes off from a height of 30 feet with an initial velocity of 150 ft /sec. The equation that models the path that the rocket takes is: G(x) = -16x^2+150x+30
Answer:
The rocket will hit the floor at 9.57 seconds
Step-by-step explanation:
Given
[tex]G(x) = -16x^2 + 150x + 30[/tex]
Take off height = 30ft
Initial velocity= 150ft/s
Required [Missing from the question]
Time to hit the ground
The rocket will hit the ground at:
[tex]G(x) = 0[/tex]
So, we have:
[tex]0 = -16x^2 + 150x + 30[/tex]
Rewrite as:
[tex]16x^2 - 150x - 30=0[/tex]
Solve using quadratic formula, we have:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
[tex]a= 16\\ b = -150\\ c = -30[/tex]
So, we have:
[tex]x = \frac{-(-150) \± \sqrt{(-150)^2 - 4*16*(-30)}}{2*16}[/tex]
[tex]x = \frac{150 \± \sqrt{22500 +1920}}{32}[/tex]
[tex]x = \frac{150 \± \sqrt{24420}}{32}[/tex]
[tex]x = \frac{150 \± 156.27}{32}[/tex]
Split:
[tex]x = \frac{150 + 156.27}{32}\ or\ \frac{150 - 156.27}{32}[/tex]
[tex]x = \frac{306.27}{32}\ or\ \frac{-6.27}{32}[/tex]
Time cannot be negative;
So:
[tex]x = \frac{306.27}{32}[/tex]
[tex]x = 9.57[/tex]
Hence, the rocket will hit the floor at 9.57 seconds
There are 200 marbles in the bag. John picks 10 marbles out of
the bag and 6 of them are red. What would be an estimate for
the number of red marbles in the bag?
Answer:
C. 60 blue marbles
Step-by-step explanation:
10 marbles are taken out of the bag.
6 marbles taken out are red.
So the other 4 marbles taken out are blue.
200 ÷ 4 = 50
and 50 is close to 60.
Let me know if this helps!
What is the quotient of (2x^5+6x^3+12x) and (2x)
Answer:
[tex]\frac{2x^5+6x^3+12x}{2x} = x^3+3x^2+6[/tex]
Step-by-step explanation:
what is the Y - Intercept?
In ΔOPQ, q = 110 inches, o = 970 inches and ∠P=167°. Find the area of ΔOPQ, to the nearest square inch.
Answer:
[tex]Area = 12004[/tex] square inches
Step-by-step explanation:
Given
[tex]q = 110[/tex]
[tex]o = 970[/tex]
[tex]\angle P =167[/tex]
Required
The area of the triangle
To do this, we use:
[tex]Area = \frac{1}{2} * o * q * sin(P)[/tex]
So, we have:
[tex]Area = \frac{1}{2} * 970 * 110 * sin(167^\circ)[/tex]
[tex]Area = \frac{1}{2} * 970 * 110 * 0.2250[/tex]
[tex]Area = 12003.75[/tex]
Approximate
[tex]Area = 12004[/tex]
Answer:
12001
Step-by-step explanation:
A triangle has sides with lengths of 14 centimeters, 36 centimeters, and 39 centimeters. Is it a right triangle?
Answer:
no
Step-by-step explanation:
this is because it does not follow the pythogras theorem which states that a^2+b^2=c^2
The product of a number and 32.
Answer:
32n
Step-by-step explanation:
Product means to multiple
So “product of a number” is something times a variable, in this case I used “n” to represent “number” but you don’t have to use “n” if you don’t want to, you could other letters to represent the “number”. The “number” is unknown so that way it is a variable.
The “and 32” is what the “number” is multiple to, so the answer would be: 32n
Yeah please help
Shannon scored 36 point on 6 questions on her test. what is the unit rate for one question?
Answer:
6 poinnts per question
Step-by-step explanation:
Answer:
x = the number of points for each question
6 = number of questions
36 = total number of points
number of questions times the number of points will equal total points
6x = 36
divide both sides by 6
6x/6 = 36/6
x= 6
Step-by-step explanation: