Answer:
8km/h
Step-by-step explanation:
The computation of the average speed is shown below:
In the case of upstream, the speed is
= 9 - 3
= 6km/h
And, the time would be
= 1.5km ÷ 6
= 0.25h
In the case of downstream, the speed is
= 9 + 3
= 12
The time would be
= 1.5km ÷ 12
= 0.125h
Now the average speed is
= 3 ÷ (0.25 + 0.125)
= 8km/h
A scale drawing of a house uses a scale of 0.5 inches = 2 feet what is the length in inches of a line on the scale drawing that represents an actual length of 5 feet.
Answer:
We can use ratios for solve this problem
Cross multiply to get:
Lastly, divide both sides by 2 to isolate x
The line will be 1.25 inches
Hope this helps!
P.s. can I get Brainliest?
A circle has a radius of 4 cm and an arc of length 6 cm. What is the measure of the angle at the center?
X^2=4 convert exponential function into natural logarithm (ln)
Answer:
[tex]2 = ln(4) [/tex]
Step-by-step explanation:
[tex] {x}^{2} = 4[/tex]
Since the power is 2 and our answer is 4 our natural log equation look like
[tex]2 = ln(4) [/tex]
Use the Cross Products Property to solve x/35 = 2/7.
Answer:
x = 10
Step-by-step explanation:
Set up:
[tex]\frac{x}{35} = \frac{2}{7} \\[/tex]
Cross multiple:
7x = 70
Divide by 7
x = 10
In the late 2000's sales of SUVs decreased due to higher gas prices and improved alternative vehicles. A car dealer is interested whether it takes more days to sell SUV's vs. small cars. He gathers data from a sample of the most recent couple of months of sales and calculates that the he sold 18 SUV's with an average number of days to sale of 95 and a standard deviation of 32 days. For small cars, he sold 38 of them in an average of 48 days with a standard deviation of 24 days. The dealer wants to estimate how much longer it takes to sell an SUV vs. a small car by constructing a 95% confidence interval. 1. The facts of this problem are:
Answer:
1. The facts are;
[tex]\overline x _1[/tex] = 95 days
s₁ = 32 days
n₁ = 18 SUV's
[tex]\overline x _2[/tex] = 48 days
n₂ = 38 small cars
s₂ = 24 days
The confidence level = 95%
The confidence interval is (29.55, 64.45)
Step-by-step explanation:
The facts of the problem are;
The number of SUV's he sold, n₁ = 18 SUV's
The average number it took to sell the 18 SUV's, [tex]\overline x _1[/tex] = 95 days
The standard deviation of the time it took to sell the 18 SUV's, s₁ = 32 days
The number of small cars he sold, n₂ = 38 small cars
The average number it took to sell the 38 small cars, [tex]\overline x _2[/tex] = 48 days
The standard deviation of the time it took to sell the 38 small cars, s₂ = 24 days
The 95% confidence interval is given as follows;
Using a graphing calculator, we get, the critical-t, [tex]t_c[/tex] = 2.055529
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) \pm t_{c} \cdot\sqrt{\dfrac{s _{1}^{2}}{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}[/tex]
[tex]\left (95-48 \right ) \pm 2.055529 \times \sqrt{\dfrac{32^{2}}{18}+\dfrac{24^{2}}{38}}[/tex]
We get C.I. = 29.55259 < μ₁ - μ₂ < 64.44741
∴ C.I. ≈ 29.55 < μ₁ - μ₂ < 64.45
Raina received a $90 gift card for a coffee store. She used it in buying some coffee that's cost $7.38 per pound. After buying the coffee, she had $53.10 left on her card. How many pounds of coffee did she buy?
Answer:
5 lbs
Step-by-step explanation:
90 - 53.10 = 36.90
She spent $36.90 on coffee. Since it cost $7.38 per pound, we can divide the total cost by 7.38 to figure out how many pounds she bought:
36.90 / 7.38 = 5
Raina bought 5 pounds of coffee.
PLZ HELP QUICK NO LINKS
Answer:
11
Step-by-step explanation:
2 x 11=22
22/2=11
Can someone please help me with just these two thanks I will give a brainliest to the correct answers
Answer:
7. [tex]c = 15.81[/tex]
8. [tex]b = 16[/tex]
Step-by-step explanation:
Required
Determine the third sides
(7): We have
[tex]b = 5[/tex]
[tex]a = 15[/tex]
[tex]c=??[/tex]
To find c, we make use of Pythagoras theorem
[tex]c^2 = a^2 + b^2[/tex]
[tex]c^2 = 5^2 + 15^2[/tex]
[tex]c^2 = 250[/tex]
[tex]c = \sqrt{250[/tex]
[tex]c = 15.81[/tex]
(8): We have
[tex]c = 20[/tex]
[tex]a = 12[/tex]
[tex]b = ??[/tex]
To find c, we make use of Pythagoras theorem
[tex]c^2 = a^2 + b^2[/tex]
[tex]20^2 = 12^2 + b^2[/tex]
[tex]400 = 144 + b^2[/tex]
[tex]b^2 = 400 - 144[/tex]
[tex]b^2 = 256[/tex]
[tex]b = \sqrt{256[/tex]
[tex]b = 16[/tex]
John will rent a car for the weekend. He can choose one of two plans. The first plan has an Initial fee of $51 and costs an additional $0.12 per mile driven. The second plan has an initial fee of $46 and costs an additional $0.14 per mile driven. For what amount of driving do the two plans cost the same? miles What is the cost when the two plans cost the same?
Answer:
The first plan has an initial fee.
The first plan has an initial fee of $51 and costs an idditional $0.11 per mile driven.
Step-by-step explanation:
Match the following.
Answer:
1) Rotation
2) Reflection
3)Dilation
4) Rotation
5) Reflection
6) Translation
7) Rotation
Step-by-step explanation: :
Keep in mind
Reflection is a flip.
Rotation turns a figure through an angle about a fixed point called the center.
Translation "slides" an object a fixed distance in a given direction.
Dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
It's Friday afternoon and six fraternity brothers at UNC havejust attended their last class of the semester. To unwind beforethe final exam Monday morning, they decide to spend the weekend atthe beach. After a weekend of immature, irresponsible behavior,they oversleep Monday morning and miss the final exam. Later thatday they go to their professor (who received her Ph.D. from NCState) and explain that they went to the beach and were on the wayback for the final exam but their car (a BMW of course) had a flattire. The professor says that they can come back the next morningand she will give them a make-up final exam consisting of oneshort-answer question! The students are ecstatic and high-five eachother all the way back to the frat house. The next morning theprofessor puts each student in a different room and hands themtheir one-question test. The question: Whichtire?
Aside: Clickhere for interesting related site.
What is the probability that all 6 students will say that thesame tire was flat? (Use 5 decimal places.)Hint: the answer is NOT(1/4)^6.
10 The cost to rent the cabin is $125 per night, plus a $50
non-refundable cleaning fee. Which equation would find the
total cost C of staying at the cabin for n nights?
A C = 125n + 50
B C = 50n + 125
с
n = 125C + 50
D 125
50C +n
Answer:
C=125n+50
Step-by-step explanation:
each night you stay represents "n" so if you stayed 3 nights(n)
you would multiple 125x3= 375
plus the $50 non refundable charge
16. A rock weighs 6 and 1/2 tons. How many pounds does the rock weigh?
2,000 lb = 1 T
Answer:
13000
Step-by-step explanation:
1 = 2,000 pounds
0.5 tons = 1000 pounds
Answer: 13,000 lb
Step-by-step explanation:
6 x 2,000 = 12,000
1/2 * 2,000 = 1,000
12,000 + 1,000 = 13,000
8.
Which equation best describes the graph? Please give explanation and dont just put anything down for points
Y
A
8
6
4
2
-8
- 6
-4
-2
2
4
6 8
-2
-
y = - 2x + 3
с
y = -3x + }
O y = -fx +
B y = -3.x + 3
Answer:
A. y = -⅓x + 3
Step-by-step explanation:
Find the equation of the graph bin slope-intercept form, y = mx + b. Where,
m = slope = ∆y/∆x
Using two points on the line, (0, 3) and (3, 2),
Slope (m) = (2 - 3)/(3 - 0) = -1/3
m = -⅓
b = y-intercept = 3 (the y-coordinate of the point where the line crosses the y-axis)
✅To write the equation, substitute m = -⅓ and b = 3 into y = mx + b
Thus:
y = -⅓x + 3
Which table of values goes with this equation?
y = x/5
The building below is shown to scale; for every 1 inch of drawing, it is 5 feet in actual distance. The exterior surface area of the building is 250,000 square feet. What is the exterior surface area of the model?
Answer:
50,000 square inches
Step-by-step explanation:
1:5 ratio so 250,000/5=50,000
LifeCharge Batteries claims that their batteries last an average of 210 hours when used in a hand held gaming system, with a standard deviation of about 9 hours. An independent quality control company took a sample of 34 batteries, and used the same hand held gaming system that LifeCharge used to record the time the batteries lasted.
1. Assuming the claim is true, what is the probability that the value of the sample mean is greater than 251.7 hours.
2. The sample mean was found to be 251.7, what does this say about the claim?
A. The sample mean is quite far off from the mean claimed, casting doubt on the current mean.
B. The sample mean is sufficiently close to the mean claimed, supporting the current mean.
C. The sample mean found does not truly support nor cast doubt on the current mean.
Answer:
The answer is "0.0023 and Choice a"
Step-by-step explanation:
In point a:
The central limit theorem:
[tex]\mu_{X}= 250\\\\\sigma_{X}=\frac{\sigma}{\sqrt{n}}=\frac{6}{\sqrt{100}} =0.6\\\\P(\bar{X}>251.7)\\\\=P(z>\frac{251.70-250}{0.6})\\\\=P(z>2.83)\\\\=1-0.9977\\\\=0.0023[/tex]
In point b:
The chance is lower than 0.05. This means that it is very rare to see the average sample above 251.8 if the argument is valid, that is why the means of the sample is far away from the common claimed and casts doubt on the actual mean.
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
Vertical/ x = 25.
Step-by-step explanation:
Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.
Vertical angles are also congruent (equal), meaning that both angles equal 75°.
4x - 25 = 75.
To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.
25 + 75 = 100
Lastly, divide 100 from 4.
4x = 100
100 / 4 = 25
x = 25
Find the value of X given 2 angles, 58 and 38.
Answer:
84
Step-by-step explanation:
180 - 58 - 38 = 84
because all the angles of a triangle add up to 180
Answer: 84
Step-by-step explanation:
A triangles total angles are 180 so we just have to subtract 58+38 from 180
Please take a look at the question. Please explain and type your explaination. Please make it quick as possible. Thankyou!
Answer:
Yes, it's true
Step-by-step explanation:
A fraction is a part of a whole number for example 1/2. 1/2 is a half of one whole piece and if you multiply it into any whole number whether it's 2,4,6,8,10...... basically, if you multiply a fraction less than one with a non-zero whole number, it will always be less than the whole number it's being cut into smaller pieces. However, if the fraction is greater than 1, we would technically have an answer greater than the whole number product, just something to remember.
B.
O
24
10
26
Find tan 2C
A.
5
13
B.
12
13
C. 12
5
Answer:
=12/5
Step-by-step explanation:
tan<C=opposite/hypotenuse
tan<C=24/10
tan<C=12/5
The graph below shows the number of tickets that a movie theater sold over a four week period.
If the theater continues selling tickets at the same rate, how many tickets do you predict they will sell during the 6th week?
A. 520 tickets
B. 590 tickets
C. 660 tickets
D. 730 tickets
Answer:
Actually, the correct answer is B: 590.
Step-by-step explanation:
I got right on the test. That's your proof there!
The population of largemouth bass in a pond is decreasing at the rate of 10% per year. If the population of largemouth bass is 5,000 this year, what will the population be in 16 years?
Answer:
Population after 16 year = 927 people (Approx.)
Step-by-step explanation:
Given:
Decrease rate = 10% per year
Current population = 5,000
Find:
Population after 16 year
Computation:
A = P[1-r]ⁿ
A = 5,000[1-0.1]¹⁶
A = 5,000[0.9]¹⁶
A = 5,000[0.1853]
A = 926.51
Population after 16 year = 927 people (Approx.)
Orlando and Ryan are taking measurements related to the installation of a TV tower. Orlando measures a 62° angle of
elevation to the top of the 950 ft TV tower. Find the angle of elevation for Ryan, standing 80 ft farther from the tower than
Orlando. Round answer to nearest tenth.
Answer:
85 I think
Step-by-step explanation:
85 no explanation
9x+10y =1 9x-6y=-15 solve using elimination
Answer:
I. x = -1
II. y = 1
Step-by-step explanation:
Given the following algebraic expressions;
9x + 10y = 1 .......equation 1
9x - 6y = -15 ......equation 2
To solve using the elimination method, we would subtract eqn 1 from eqn 2.
(9x - 9x) + (-6y - 10y) = (-15 - 1)
0x - 16y = -16
-16y = -16
16y = 16
y = 16/16
y = 1
Next, we would find the value of x;
From eqn 1;
9x + 10y = 1
Substituting the value of y, we have;
9x + 10(1) = 1
9x + 10 = 1
9x = 1 - 10
9x = -9
x = -9/9
x = -1
What is the expression resulting from the following diagram?
3x)
Drop Down 1]
-2x-5
[Drop Down 2]
-4/11
[Drop Down 3]
[Drop Down 1)
Select a Value
Drop Down 2]
Select a Value
Drop Down 3]
Select a Value
Answer:
1. -12x^8
2. 8x^6
3. 16x^11
Step-by-step explanation:
The required values for the given table are -12x⁸, 8x⁶ and 16x¹¹ respectively. To understand the calculations, check below.
Multiplication table:The given table represents the Multiplication table.
To fill the table we need to multiply the corresponding elements of that cell of the table.
For drop-down 1,
[tex](-4x^{11})\times (3x^{-3})=(-4\times 3)x^{11-3}[/tex]
[tex](-4x^{11})\times (3x^{-3})=-12x^{8}[/tex]
For drop-down 2,
[tex](-4x^{11})\times (-2x^{-5})=(-4\times (-2))x^{11-5}[/tex]
[tex](-4x^{11})\times (-2x^{-5})=8x^{6}[/tex]
For drop-down 3,
[tex](-4x^{11})\times (-4)=(-4\times (-4))x^{11}[/tex]
[tex](-4x^{11})\times (-4)=16x^{11}[/tex]
Therefore, the required values are -12x⁸, 8x⁶ and 16x¹¹ respectively.
Find out more about 'Multiplication table' here:
https://brainly.com/question/17211095
Branliest to correct answer explain how you got your answer please
Please help, hard question
Answer:
6, 24, 96, 384
Step-by-step explanation:
start with 6 and multiply each successive term by 4
ms.vellejo has these cans of soup in her cabinet 1 can of tomato soup 4 cans of chicken soup 3 cans of cheese soup 2 cans of beef soup ms.velljo will randomly choose one can of soup what is the probililty that she will choose a can of beef or chicken soup
Answer:
There is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
Step-by-step explanation:
Since Ms. Vellejo has 1 can of tomato soup, 4 cans of chicken soup, 3 cans of cheese soup and 2 cans of beef soup in her cabinet, and she will randomly choose one can of soup, to determine what is the probililty that she will choose a can of beef or chicken soup, the following calculation must be performed:
1 + 4 + 3 + 2 = 10
Beef soup = 2 cans = 2/10 = 0.2 = 20%
Chicken soup = 4 cans = 4/10 = 0.4 = 40%
20 + 40 = 60
Thus, there is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
Easy easy easy point easy please explain and make it quick as possible
Answer:
--
Step-by-step explanation:
so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.
a. (3/4)*7=(3*7)/4
b. 7*(3/4)=(7*3)/4
c. 3*(7/4)=(3*7)/4
when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.
Answer:
Step-by-step explanation:
so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.a. (3/4)*7=(3*7)/4b. 7*(3/4)=(7*3)/4c. 3*(7/4)=(3*7)/4when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.