Answer:
The probability that Ivan will have 3 novels to read during the road trip is 0.0455
Step-by-step explanation:
Given;
number of novels = 5
number of short stories = 7
total number of books = 12
The probability that Ivan's friend pick's a novel = 5 / 12
The probability of Ivan's first pick to be a novel = 4 / 11
The probability of Ivan's second pick to be a novel = 3 /10
The probability that Ivan will have 3 novels to read during the road trip is given by;
= p(Ivan's friend pick) and P(Ivan's first pick) and P(Ivan's second pick);
[tex]= \frac{5}{12}*\frac{4}{11}*\frac{3}{10}\\\\ = \frac{1}{22}\\\\ = 0.0455[/tex]
Therefore, the probability that Ivan will have 3 novels to read during the road trip is 0.0455
During a training mission, a battleship was ordered to find a submarine submerged at a depth of 1,220 feet and a fighter jet flying 1,150 feet in the air. On a number line, let 0 represent the battleship’s location, at sea level, with higher elevation on the positive side of 0.
Which number sentence correctly compares the absolute values of the elevations of the submarine and the fighter jet?
A. |-1,220| > |1,150|
B. |-1,220| < |1,150|
C. |1,220| < |-1,150|
D. |1,220| = |-1,150|
Answer:
B
Step-by-step explanation:
-1220 is negative lower than 0 and 1150 is higher than zero.
what expresion is equal to
Answer:
The second option and the last option
Step-by-step explanation:
10^5 equals 100000 and if you try all options the only 2 that also equal 100000 is those two.
Which expression does the number line represent? A number line going from 0 to StartFraction 9 Over 4 EndFraction in increments of one-fourth. Arrows go from 0 to three-fourths, from three-fourths to six-fourths, and from six-fourths to nine-fourths.
Answer: 9/4 divided by 3/4
Step-by-step explanation: i took the test
Answer:
D
Step-by-step explanation:
2021 moment
I need help with this
(This is 8th grade math btw)
Answer:
Just do 12x+7 and 5x-1 divide that answer by 57 that seems easy and i am in 6th grade
Step-by-step explanation:
if this is not right i dont know what is
Answer:
Angle WST = 91°
Step-by-step explanation:
The first step in this situation is to find Angle TSU. Then find x, which is 7, which can be put into the equation shown for Angle WST.
What are the values of x and y?
image attached. Thank you!
Answer:
C
Step-by-step explanation:
We'll have to use trigonometry for this.
First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.
In order to find x, then, we must use sine, which is opposite/hypotenuse. So:
sin(A) = sin(60) = opposite/hypotenuse = x/18
sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:
[(√3)/2] * 18 = 9√3
Already, we can tell that the answer is likely C, but let's find y to make sure.
We will use cosine to find y because cos = adjacent/hypotenuse.
cos(A) = cos(60) = adjacent/hypotenuse = y/18
cos(60) = 0.5, so multiplying both sides by 18 gives:
0.5 * 18 = 9
So, y = 9.
Thus, C is our answer.
~ an aesthetics lover
Answer:
C
Step-by-step explanation:
Using the cosine/ sine ratio in the right triangle and the exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{18}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 18[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 9[tex]\sqrt{3}[/tex]
----------------------------------------------------------
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{y}{18}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 18 ( divide both sides by 2 )
y = 9
Thus
x = 9[tex]\sqrt{3}[/tex] and y = 9 → C
Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal. Liam ate StartFraction 4 over 9 EndFraction cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
Answer:
3 5/18
Step-by-step explanation:
Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal.
= 5 1/2 cups of oatmeal
Liam ate StartFraction 4 over 9 EndFraction cup of oatmeal every morning before school for a week.
= 4/9 cup of oatmeal for a week
Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
5 1/2 - 5( 4/9)
11/2 - 20/9
= L.C.M of the denominators = 18
= 9 × 11 - 20 × 2/28
= 99 - 40/18
= 59/18
= 3 5/18
The best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week is
3 5/18 cups of oatmeal
Answer:
Step-by-step explanation:
2 1/2 is the answer
Y varies directly with the square of X and when Y= 80, X=4
Answer:
Whats the question?
Step-by-step explanation:
???
Answer:
y=5x^2
Step-by-step explanation:
34 students in Mr. Jones math class passed the final exam. There are 40 students in his class total. What percent of students passed.
help please
3y-4=12-y and also show the step please
Answer:
y=4
Step-by-step explanation:
look at the picture. :) hope this helps
Answer:
y = 4
Step-by-step explanation:
Lets begin by combining like terms, starting with y. We can take the -y on the right, and bring it to the left side, adding it with the 3y already there. We are now at.
4y - 4 = 12
We now can take the -4 from the left and bring it to the right as +4.
4y = 16
We can now divide 16 by 4, getting 4 as the final answer.
Anne rides her horse with a constant speed of 14 miles per hour. How far can she travel in 3/4 hour?
Answer:
10.5 miles
Step-by-step explanation:
We can use proportions to solve
14 miles x miles
-------------- = ----------
1 hours 3/4 hours
Using cross products
14 * 3/4 = 1x
10.5 = x
Help me pls.........
Answer:
The account balance will be $2,614.16 after 10 years ⇒ D
Step-by-step explanation:
The formula for compound interest, including principal sum is:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the future value of the investment/loan, including interestP is the principal investment amount r is the annual interest rate (decimal)n is the number of times that interest is compounded per unit tt is the time the money is invested or borrowed forLet us use this rule to solve the question
∵ Ted invests $1,077 in a savings account with a fixed annual interest
rat 9% compounded three times per year
∴ P = 1,077
∴ r = 9% = [tex]\frac{9}{100}[/tex] = 0.09
∴ n = 3 ⇒ three times per year
∵ The time is ten years
∴ t = 10
Substitute these values in the rule above to find A
∵ [tex]A=1077(1+\frac{0.09}{3})^{3(10)}[/tex]
→ Use your calculator to find the answer
∴ A = 2,614.161681
→ Round it to the nearest cent (2d.p.)
∴ A = $2,614.16
∴ The account balance will be $2,614.16 after 10 years.
can someone help me I need a quick answer. If a base of 5 has an exponent of 2 and is subtracted from a base of 4 that hs an exponent of 3, what is the remaining number?
Answer:
39
Step-by-step explanation:
4^3 equals 64, and 5^2 equals 25. 64 - 25 = 39.
Carnival T charges an entrance fee of $7.00 and $0.50 per ticket for the rides. Carnival Q charges an entree fee of $12.00 and $0.25 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival T and Carnival Q to be the same?
Answer:
$30
Step-by-step explanation:
Calculation for the tickets that must be purchased for Carnival T and Carnival Q to be the same
Based on the information given let x be the number of ticket to be purchased .
Carnival T entrance fee= $7.00
Ride= $0.50 per ticket
Carnival Q entree fee =12.00
Ride= $0.25 per ticket
Tickets=$7.00 + ($0.50* x) = $12.00 + ($0.25* x)
.25 x = 5.00
Hence:
x=$.25+$5.00
×=$30
Therefore the amount of tickets that must be purchased in order for the total cost at Carnival T and Carnival Q to be the same will be $30
Find the slope of the table
Answer:
The slope should be -5/8
Step-by-step explanation:
The equation used to find the slope using a table is:
[tex]\frac{y2-y1}{x2-x1}[/tex]
To get the values, take two points from the table. For example:
(8, -5) and (16, -10)
Write and classify them as (x1, y1) and (x2, y2). Knowing that these values equal the numbers, put the numbers in the equation above, and you should find the slope.
Write an algebraic expression that represents the sum of 3 and one sixth of X
Answer: 3 + 1/6x
Step-by-step explanation:
From the question, we are informed to write an algebraic expression that represents the sum of 3 and one sixth of.
In mathematics, sum means addition. Therefore, the algebraic expression will be gotten by adding 3 to 1/6 of x. This will be:
= 3 + (1/6 × x)
= 3 + 1/6x
can someone please solve −5 − y = −3x
Answer:
Slope = 3
x-intercept = 5/3 = 1.66667
y-intercept = 5/-1 = -5.00000
Step-by-step explanation: Notice that when x = 0 the value of y is 5/-1 so this line "cuts" the y axis at y=-5.00000
y-intercept = 5/-1 = -5.00000
When y = 0 the value of x is 5/3 Our line therefore "cuts" the x axis at x= 1.66667
x-intercept = 5/3 = 1.66667
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -y+3x-5 = 0 and calculate its properties
Which term is the constant in 17 – 3p?
second time asking
Hector had $98.70. He spent $52.67 for school clothes. How much money does Hector have left?
Answer:
$46.03
Step-by-step explanation:
Answer: A) $ 46.03
Step-by-step explanation: I took away $98.70 and $52.67 and I got A as answer :)
HELPPP
Given h(x) = 2x + 2, solve for x when h(x) = 4.
Answer:
x = 1
Step-by-step explanation:
2x + 2 = 4
2x = 2
x = 1
help asap
show work
i will make u brainlest.
Answer:
1. A
2. D
3. A
4. A
Step-by-step explanation:
Question 1:
Switch sides:
5(5 + 4v) > 105
Divide both sides by 5:
5(5 + 4v) / 5 > 105/5
Simplify:
5 + 4v > 21
Subtract 5 from both sides:
5 + 4v - 5 > 21 - 5
Simplify:
4v > 16
Divide both sides by 4:
4v/4 > 16/4
Simplify:
v>4
Question 2:
Expand:
5m - 3m - 6 < 24 - 3m
Add similar elements:
2m - 6 < 24 - 3m
Add 6 to both sides:
2m - 6 + 6 < 24 - 3m + 6
Simplify:
2m < -3m +30
Add 3m to both sides and simplify:
5m < 30
Divide both sides by 5:
5m/5 < 30/5
Simplify:
m<6
Question 3:
Expand:
18x + 12 ≤ -39 + x
Subtract 12 from both sides and simplify:
18x ≤ x - 51
Subtract x from both sides and simplify:
17x ≤ -51
Divide both sides by 17 and simplify:
x ≤ -3
Question 4:
Add similar elements:
-3m + 5m = 2m
Expand and simplify:
2m ≥ -12m
Add 12m to both sides and simplify:
14m ≥ 0
Divide both sides by 14 and simplify:
m ≥ 0
Please help ASAP !! Need it rn
Answer:
if the lines have arrows at the end then the domain is infinite.
Step-by-step explanation:
Lines are infinite
Answer:
Domain: x ∈ all real numbers
Step-by-step explanation:
It appears to be the function |x|-1 and that is defined by all values of x. Meaning that the domain is x can be any value.
help!!!!!!!!!!!!!!!!
Answer:
2600%
Step-by-step explanation:
Perform the indicated operation.
-6 + 6
oo
0-12
O 12
Answer is 12
Because -6 + 6 = 12
Make Sense and Persevere A submarine
descends to of its maximum depth. Then it
descends another of its maximum depth. If it
is now at 650 feet below sea level, what is its
maximum depth?
Michael joined a gym that had a membership fee of $50. Then he had to pay $20 a month. How many months was he a member if Michael spent a total of $310?
abracadabra Abracadabra Abracadabra abracadabra don't don't.
What number is 32% of 79?
thanks so much
Answer:
25.28
Step-by-step explanation:
Answer:
25.28
Step-by-step explanation:
when y= 1.5x, if x= 6, what is y?
ANSWER IS 9
Explanation; mulitply 1.5 with 6
Answer:
9 is the answer I believe
Step-by-step explanation:
multiply 1.5 by 6.
8a + 3b - 10 + c^2
When a = 2, b = 5 and c = 4
Answer:
the answer is 37
Step-by-step explanation:
plug in numbers given: 8(2) - 3(5) -10 +(4)^2
simplify: 16 - 15 - 10 + 16
combine like terms = 37
Answer:
37
Step-by-step explanation:
8*2 +3*5- 10+ [tex]4^{2}[/tex]
16+ 15-10+16
47-10
37
At a fabric store, fabrics are sold by the yard. { x + y = 5 ) (17x + 4y = 46) A dressmaker spent $46 on 5 yards of silk and cotton fabrics for a dress. Silk is $17 per yard and cotton is $4 per yard. Here is a system of equations that represent the constraints in the situation. Find the solution to the system of equations. Write it as an ordered pair below. Use the graphing calculator on the next screen to help. Enter each equation on a separate line on the left-hand side to see their graphs. 46x + 5y = 46
Answer:
The dressmaker bought 3 yard of cotter and 2 yards of silk
Step-by-step explanation:
So what you do it just put those equations into a graphing calculator and the point where they intersect is your answer
I should pay attention in class more smh
Answer:
I think the slope is unidentified.
Hope this Helps!