Answer:
64feet
Step-by-step explanation:
Suppose a game uses a spinner that has four possible outcomes: 1, 2, 3, and 4. What outcomes make up the complementary event of getting "2 or greater" on this spinner?
Answer:
Outcome of complementary event of getting "2 or greater" on the spinner = {1}
Step-by-step explanation:
Let A be an event of getting '' 2 or greater ''
The complementary event of A be = A' = getting ''less than 2 ''
Now,
The Sample space S = { 1, 2, 3, 4 }
Outcome of A' = { 1 }
∴ we get
Outcome of complementary event of getting "2 or greater" on the spinner = {1}
Joseph has $60 in a savings account. Each week he deposits $12 in the account.
SELECT ALL the expressions that represent the total amount in the account after x weeks.
a.12(5 + 1x)
b.12(5x + 1)
c.60 + 12x
d.6(10 + 2x)
e.60x + 12
f.6(10x + 2)
Answer:
12x +60
Step-by-step explanation:
c
d
Lonnie plans to join the gym. He must pay a $35 membership fee. He will
then pay $5 each month. What is the slope?
Answer:
5
Step-by-step explanation:
The slope will be the constant amount that the cost increases by each month.
In this situation, 5 is the slope, because he has to pay $5 each month.
35 is not the slope, and is instead the y intercept. This is because this is the cost at 0 months, since it is the membership fee.
So, the correct answer is 5.
180 miles in 4 hours at what rate how long will it take to drive 270 miles
Answer:
6
Step-by-step explanation:
180 / 4 = 45
45mi = 1hr
270 / 6 = 45
State the hypothesis and claim:
The expense of moving the storage yard for the consolidated Package Delivery Service is justified only if it can be shown that the daily average travel distance is less than 214 mi. In 12 trial runs the average distance was 198 mi with a standard deviation of 42 mi At a = .01 test the claim that the average daily travel distance is less than 214 mi.
the claim is _____. H0: ___ H1: ____
Answer:
Null Hypothesis: H₀ : μ < 214 miles
Alternative Hypothesis :H₁: μ> 214 miles
The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance
Null hypothesis is accepted
The average daily travel distance is less than 214 miles
Step-by-step explanation:
Step(i):-
Given that the size of the sample 'n' = 12
The mean of the Population = 214 miles
The mean of the sample = 198 miles
The standard deviation of the sample = 42 miles
Level of significance = 0.01
Step(ii):-
Null Hypothesis: H₀ : μ < 214 miles
Alternative Hypothesis :H₁: μ> 214 miles
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{198 -214}{\frac{42}{\sqrt{12} } }[/tex]
|t| = |- 1.319| = 1.319
Degrees of freedom = n-1 = 12 -1 =11
critical value [tex]t_{(0.005 , 11)} = 3.4966[/tex]
The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance
Null hypothesis is accepted
The average daily travel distance is less than 214 miles
The model below is shaded to represent 7 3/10
Answer:
blue 7.3
Step-by-step explanation:
Answer:
7.3
Step-by-step explanation:
There are 7 groups with 10 parts in each, 7 complete rows are filled in. 3 are left in the last row. This means that there are 7 wholes with 3 left over. 7.3
Ms. Rios washed 2 5 of her laundry. Her son washed 1 3 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
The son has washed most of the laundry.
Step-by-step explanation:
What type of transformation of △ABC results in △DEF ?
Answer:
reflection
Step-by-step explanation:
Answer:
Reflection
Step-by-step explanation:
As you can see, its the same shape, and the same size...but it looked mirrored. ABC has been reflected over the y-axis to make DEF.
It's not rotation, because the shape has not been rotated, if so it would have been in a different position
It's not translation, because the shape didn't stay in the same format (facing one side).
So it must be reflection
Hope this helped!
Have a supercalifragilisticexpialidocious day!
The population of a small town is growing at a rate of 5% per year. If the population right now is 22 000, What will the population be 10 years from now?
Answer:
35,836
Step-by-step explanation:
I had this question before and I believe this is correct.
Answer:
the population 35,836 in 10 years.
Step-by-step explanation:
The numbers representing the population in consecutive years create a geometrical sequence with:
a1 = 22,000
and
q = 1 + 0.5 = 1.05
We are asked to find the population after
10 years. This number is the eleventh term in the sequence, so we are looking for:
a11 = a1 ⋅ q^10 = 22, 000 ⋅ (1.05)^10
After substitution of given data we have:
a11 ≈ 35, 836
*Answer:* "After 10 years the population will be 35, 836."
What are the zeros of F(x)=(x-2)(x+7)
Answer:
Zero's are X = 2 and X = -7
Step-by-step explanation:
you would set the factorized parts equal to zero, as in x - 2 = 0 and x + 7 = 0, then solve for x, and whatever you get is where y will be zero
Answer:
zeros: x = 2 and x = -7
Step-by-step explanation:
use zero product property - set the polynomial equal to 0
(x-2)(x+7) = 0
then set each factor separately to 0:
x - 2 = 0 x + 7 = 0
solve for x by adding 2 to both sides in the equation on the right, and subtracting 7 from both sides in the equation on the left
x = 2 x = 7
Combine like terms to simplify the expression: i suck at math pls help ill even give brainliest
12 + 3y − 8 − 7y = ______
4 + 4y
5 + 3y
20 − 4y
4 − 4y
12 − 4y
Answer:
4-4y
Step-by-step explanation:
A bacteria with an initial size of 180in2 grows by 27% every minute. What will the size of the bacteria be after 8hours
Answer:
The size of the bacteria after 8 hours will be of [tex]1.2 \times 10^{52}[/tex] squared inches.
Step-by-step explanation:
Exponential function:
An exponential function has the following format:
[tex]F(t) = F(0)(1+r)^{t}[/tex]
In which F(0) is the initial value and F is the growth rate.
A bacteria with an initial size of 180in2 grows by 27% every minute.
This means that [tex]F(0) = 180, r = 0.27[/tex]. So
[tex]F(t) = F(0)(1+r)^{t}[/tex]
[tex]F(t) = 180(1+0.27)^{t}[/tex]
[tex]F(t) = 180(1.27)^{t}[/tex]
In which t is measured in minutes,
What will the size of the bacteria be after 8hours
8 hours has 8*60 = 480 minutes, so this is F(480).
[tex]F(480) = 180(1.27)^{480} = 1.2 \times 10^{52}[/tex]
The size of the bacteria after 8 hours will be of [tex]1.2 \times 10^{52}[/tex] squared inches.
Which set of ordered pairs represents a function?
{(-7,-1), (7,-1),(-9,3), (-9,2)}
{(3,5), (7,9),(4,4), (3,3)}
{(3,-2), (-7,6),(-5, -8), (3, -6)}
{(0,2).(-9,7),(-6, -1),(-2,2)}
Answer:
The last one
Step-by-step explanation:
Answer:
{(0,2), (-9,7), (-6, -1), (-2,2)}
Step-by-step explanation:
You can see if points are a function by seeing if the first value in the parenthesis (X value) and if they are the same, the points are not a function. The only points where the first value in the parenthesis are not the same is in the fourth set of points.
The width of a rectangle is 9 feet less than the length. The area is 580 square feet. Find the length and width of the rectangle.
Answer:
5220
Step-by-step explanation:
A=580, A=LW, W=L-9
580=L(L-9)
L^2-9L-580=0
(L-29)(L+20)=0, L>0 so L=29, W=29-9=20
When x=1, then y= ___
Please I need the answer soon.
Answer:
When x = 1, y = -2
Step-by-step explanation:
The equation of this line is y = x - 3, so when x = 1, y would equal 1 - 3 or -2.
Answer:
x=1, then y= -2
which is the best estimate for the sum of 2 7/8 + 2 4/5=
Answer:
6 because I would estimate 2 7/8 to 3 and 2 4/5 to 3 so 3 + 3 = 6
What is greater than 525.06 but less than 525.6?
I need help on this badly please come with good explanation on how to slove problems like this.
Answer:
Step-by-step explanation:
This is a parabola. Because of that, the extreme exists at either the highest point on the graph or at the lowest point on the graph (which is also known as the vertex). This is a positive parabola, so the vertex is a minimum. The coordinates of the vertex are (4, -2.5). The 4 is the x value; therefore, the value of x where the polynomial has an extreme (or extrema) is at x = 4
You bought a new car for $18,500. The
value of the car depreciates 4.6% annually.
How much will your car be worth in 5
years? (HINT: How many decimal places
are in money?)
Answer:
14,245
Step-by-step explanation:
First you find 4.6% of 18,500 which is 851. Then you multiply 851 by the years, which is 5, and you get 4255. Lastly just subtract 4255 from 18500.
A bag contains 1 dollar, 50 cents and 25 cents coins in the ratio 3:5:7. The total amount is $ 1856.
Find the number of each denomination.
Answer:
There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins
Step-by-step explanation:
The total amount of coins is given by x.
Ratio 3:5:7
[tex]\frac{3}{3+5+7} = \frac{3}{15}[/tex] are worth $1.
[tex]\frac{5}{3+5+7} = \frac{5}{15}[/tex] are worth 50 cents = $0.5.
[tex]\frac{7}{3+5+7} = \frac{7}{15}[/tex] are worth 25 cents = $0.25.
The total amount of money is $1856.
This means that:
[tex]\frac{3x}{15} + 0.5\frac{5x}{15} + 0.25\frac{7x}{15} = 1856{/tex]
Multiplying everything by 15
[tex]3x + 2.5x + 1.75x = 27840[/tex]
[tex]7.25x = 27840[/tex]
[tex]x = \frac{27840}{7.25}[/tex]
[tex]x = 3840[/tex]
Amount of coins of 1 dollar:
[tex]\frac{3*3840}{15} = \frac{3840}{5} = 768[/tex]
Amount of 50 cent coins:
[tex]\frac{5*3840}{15} = \frac{3840}{3} = 1280[/tex]
Amount of 25 cent coins:
[tex]\frac{7*3840}{15} = 1792[/tex]
There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins
Please help on this question!
Answer:
d
Step-by-step explanation:
Please find the area of D, E, and F.
This would be appreciated :)
Answer:
Using graph for units
D=1/2(6)(9)=27 sq units
E=1/2(7)(6)=21 sq units
F=1/2(6)(8)=24 sq units
Step-by-step explanation:
Answer:
D=27 units, E=21 units, F=24 units
Step-by-step explanation:
The formula for area of a triangle is (BASE * HEIGHT)/2
For triangle D, the base is 9 units and the height is 6 units. Then you can apply the formula and do 9*6 which is 54 and then do 54/2 which is 27 units.
Similarly, the base for E is 6 units, and the height is 7 units. So you do 6*7 which is 42 and then do 42/2 which is 21 units.
Again, the base for F is 6 units, and the height is 8 units. Then again, using the formula, we can do 6*8 which is 48 and then do 48/2, which is 24 units.
Hopefully this helped!
Surface Area of 40,40,40
Answer:
64000
Step-by-step explanation:
40×40×40
Multiply 40 and 40 to get 1600.
1600×40
Multiply 1600 and 40 to get 64000.
64000
can someone please help me with this. i will give you brainliest
Answer: I want to say it is the second one, but i'm not to sure.
Step-by-step explanation:
Suppose a loaded die has the following probability model: If this die is thrown and the top face shows an odd number, what is the probability that the die shows a 1
Answer:
the probability is 0.6
Step-by-step explanation:
The computation is shown below:
Let us assume the X would be the number appear on the top face
Now
= P(X = 1) ÷ P(X = 0)
= 0.3 ÷ 0.3 + 0.1 + 0.1
= 0.3 ÷ 0.5
= 0.6
hence, the probability is 0.6
WILL MARK BRAINLIEST HELP ASAP!! A caterpillar crawling in a straight line across a coordinate plane starts at point (—3, —4) and ends at point (25, 38). Counting the start point and end point, how many points with integer coordinates does the caterpillar touch?
Answer:
15
Step-by-step explanation:
The slope = [tex]\frac{change in y}{change in x} =\frac{38+4}{25+3} =\frac{42}{28} =\frac{3}{2}[/tex]
This means that when the caterpiller moves 2 units to the right, it moves 3 units up. Since 42/3 = 28/2 = 14. this happens 14 times from (-3, -4) to (25, 28). Counting the starting point (-3, -4) we get 14 + 1 = 15 points with integer coordinates.
Rectangle ABCD has m∠BAC=4x+5and m∠ACD=5x−4. Find m∠CAD m∠CAD =
Answer:
m∠CAD = 49degrees
Step-by-step explanation:
For a rectangle ABCD if m∠BAC=4x+5and m∠ACD=5x−4, then;
m∠BAC = m∠ACD (alternate angles)
4x+5 = 5x - 4
4x-5x = -4-5
-x = -9
x = 9
Also
m∠BAC+m∠CAD = 90
4x+5+m∠CAD = 90
4(9)+5+m∠CAD = 90
36+5+m∠CAD = 90
41+m∠CAD = 90
m∠CAD = 90-41
m∠CAD = 49degrees
Please help me answer this question
9514 1404 393
Answer:
y ≥ 4x
Step-by-step explanation:
We notice the y-values in the table are 4 times the corresponding x-values. Since the table values represent a minimum, the appropriate inequality is ...
y ≥ 4x
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?
Answer:
P(15) = (200,000)(1.08)15 = 634,434
Step-by-step explanation:
If the population at the beginning of 2000 was 200,000
Then the growth equation is P = Po(1.08)(y) where year year 2000 was year 1 or y = 1
At the end of 2015 or 2015-2000 = 15 years later, or at the end of the 15th year
The legs of a right triangle measure 5 inches and 9 inches.
What is the measure of the smallest angle of the triangle?
Enter your answer, rounded to the nearest tenth of a degree, in the box.
Answer:
29.1
Step-by-step explanation:
Use logic.
Jk. Tan(x) = 5/9 so x = tan^-1(5/9)
Use a graphing calculator in degrees mode.
The measure of the smallest angle of the triangle would be equal to 29.1
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We are given that the legs of a right triangle measure 5 inches and 9 inches.
We need to find the measure of the smallest angle of the triangle
Tan(x) = 5/9
Therefore, we have;
x = tan^-1(5/9)
x = 29.1
Learn more about trigonometric;
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