Answer: 1224 miles
Step-by-step explanation:
Given
the average speed of a person is 51 mph
If speed is increased to 72 mph, he would have reached 7 hr earlier
Suppose d and t be the distance and time taken
[tex]\Rightarrow t_1=\dfrac{d}{51}[/tex]
If the speed is 72 mph
[tex]\Rightarrow t_2=\dfrac{d}{72}[/tex]
Also, [tex]t_1-t_2=7[/tex]
[tex]\Rightarrow \dfrac{d}{51}-\dfrac{d}{72}=7\\\\\Rightarrow \dfrac{1}{51}-\dfrac{1}{72}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{24-17}{1224}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{7}{1224}=\dfrac{7}{d}\\\\\Rightarrow d=1224\ miles[/tex]
The measures of the angles of a triangle are shown in the figure below. Solve for x
Answer:
x=17
Step-by-step explanation:
4x+8+44+60=180
4x+112=180
4x=180-112
4x=68
x=68/4
x=17
A diver jumps off of a diving board and is modeled by the equation d(t)= -16t2 +8t + 30. How long will it take for her to reach the water?
Answer: (1/4,31)
Step-by-step explanation: Use the formula x = − b/2a a to find the maximum and minimum.
20% of __ = 18 Please help me Thank you Sooo Much
Answer: 20% of 90 = 18
Answer:
90%
Step-by-step explanation:
i hope this helps:)
This season, the probability that the Yankees will win a game is 0.56 and the probability that the Yankees will score 5 or more runs in a game is 0.61. The probability that the Yankees lose and score fewer than 5 runs is 0.32. What is the probability that the Yankees will lose when they score fewer than 5 runs? Round your answer to the nearest thousandth.
The probability that the Yankees will lose when they score fewer than 5 runs is 0.821 (nearest to the thousandth).
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
Lets suppose here that:
A = event that Yankees win a gameB = event that Yankees will score ≥ 5 in a gameSuppose A' and B' are their complementary events, then we have:
A' = event that Yankees will lose a gameB' = event that Yankees will score < 5 in gameThen, by the given data, we have:
[tex]P(A) = 0.56\\P(B) = 0.61\\P(A' \cap B') = 0.32[/tex]
We've to find [tex]P(A' | B')[/tex]
Using chain rule, we have:
[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')}[/tex]
Since P(B') = 1-P(B) = 100.61 = 0.39, therefore, we get:
[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')} = \dfrac{0.32}{0.39} \\\\P(A'|B') \approx 0.821[/tex]
Thus, the probability that the Yankees will lose when they score fewer than 5 runs is 0.821
Learn more about probability here:
brainly.com/question/1210781
Help rn ahhhh please
Answer:
117π or 367.56634047
Step-by-step explanation:
Volume = π × r² × h (r=radius and h=height)
Volume = π × 4² × 13
Volume = π × 9 × 13
Volume = π × 117
Volume = 117π
Help please someone please
Answer:
i dont know im just doing this for the points
Giselle uses 2 ounces of pasta to make 2 over 3 of a serving of pasta. How many ounces of pasta are there per serving
It’s me again guys!! Can anyone help me please?
can someone please help me find the area of a regular pentagon of radius 4m? thank you :(
Answer:38.07
Step-by-step explanation:
If you don't have the apothem value, you will need more information to find the area accurately. The radius alone does not provide enough information to find the area of the regular pentagon.
To find the area of a regular pentagon with a given radius, we need to know the apothem (the distance from the center of the pentagon to the midpoint of one of its sides) in addition to the radius. However, you mentioned only the radius, and it is not sufficient to directly find the area.
If you have the apothem value, you can use the following formula to calculate the area of a regular pentagon:
Area = (5/4) * apothem * side length
To know more about area:
https://brainly.com/question/28995006
#SPJ2
Three friends were comparing how much money they each have saved. Sami has $41.79. Charlotte has $38.91. Celeste has $41.68. Which list shows the names in order from least amount saved to greatest?
Sami, Celeste, Charlotte
Charlotte, Celeste, Sami
Celeste, Sami, Charlotte
Charlotte, Sami, Celeste
Answer:
B
Step-by-step explanation:
i got it right
PLS HELP I WILL GIVE YOU BRAINLIEST AND LOVE YOU FOREVER
Jessica ran 2 3/4 miles on Tuesday, 3 1/4 on Wednesday, and 1 1/4 on Thursday. She ran the same number of miles as the previous three days on Friday through Sunday. How many miles is Jessica run Tuesday through Sunday? Leave your answer as a mixed fraction.
The prism below is made of cubes that measure 1/2 of an inch on one side. What is the volume?
Answer:
the answer is C. 5 cubic in
Step-by-step explanation:
V = LWH
length is 2 (1/2 in)
width is 5 (1/2 in)
height is 4 (1/2 in)
V = (2/2) (5/2) (2)
V = 1 * 5/2 * 2
V = 5 cubic in
Ryan made small
cherry pies with
a diameter of 2
in. What was the
area of one pie?
Answer:
area of one pie : πr² = π d²/4 = π× 2²/4 = π ≈ 3.14
PLS HELP! (THE QUESTION IS A PICTURE CLICK ON THE QUESTION FIRST)
Answer:
Step-by-step explanation:
B.28.1
Answer:
It's BBBBBBBBBBBBBBBBB
Click on the pic and pls help!!
Answer:
x = 43.9
Step-by-step explanation:
sin 20° = 15/x
0.3420 = 15/x
x = 43.86
Gribbles are small, pale white, marine worms that bore through wood. While sometimes considered a pest since they can wreck wooden docks and piers, they are now being studied to determine whether the enzyme they secrete will allow us to turn inedible wood and plant waste into biofuel.1 A sample of 50 gribbles finds an average length of 3.1 mm with a standard deviation of 0.72. Give a best estimate for the length of gribbles, a margin of error for this estimate (with 95% confidence), and a 95% confidence interval.
Answer:
The best estimate for the length of gribbles is of 3.1 mm.
The margin of error for this estimate, with 95% confidence, is of 0.2 mm.
The 95% confidence interval is between 2.9 mm and 3.3 mm.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
Best estimate for the length of gribbles
The best estimate is the sample mean, that is 3.1 mm.
Margin of error:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 50 - 1 = 49
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.01
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.01\frac{0.72}{\sqrt{50}} = 0.2[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error for this estimate, with 95% confidence, is of 0.2 mm.
Confidence interval:
The lower end of the interval is the sample mean subtracted by M. So it is 3.1 mm - 0.2 mm = 2.9 mm
The upper end of the interval is the sample mean added to M. So it is 3.1 mm + 0.2 mm = 3.3 mm
The 95% confidence interval is between 2.9 mm and 3.3 mm.
4. Mrs. Walter's circular bracelet has a radius of 4
inches. Mrs. Cross also has a circular bracelet, but hers
has a radius of 5 inches. What is the difference in the
circumference of Mrs. Cross' bracelet and the
circumference Mrs. Walters' bracelet?
Answer:
The circumference is 9. And the other one is 10
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 15 cm and the width is 12 cm, how fast is the area of the rectangle increasing
Answer:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Step-by-step explanation:
Geometrically speaking, the area of a rectangle ([tex]A[/tex]), in square centimeters, is described by following expression:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ([tex]\dot A[/tex]), in square centimeters per second:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex] (2)
Where:
[tex]\dot w[/tex] - Rate of change of the width of the rectangle, in centimeters per second.
[tex]\dot l[/tex] - Rate of change of the length of the rectangle, in centimeters per second.
If we know that [tex]w = 12\,cm[/tex], [tex]l = 15\,cm[/tex], [tex]\dot w = 4\,\frac{cm}{s}[/tex] and [tex]\dot l = 9\,\frac{cm}{s}[/tex], then the rate of change of the area of the rectangle is:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex]
[tex]\dot A = 168\,\frac{cm^{2}}{s}[/tex]
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
I need the scale factor of this please, its due today:)
Answer: The scale factor is 3:1 because if you look at the T Point to T', it has a space of 3. Pardon for any mistakes. Good Luck!
Step-by-step explanation:
Which statement best describes the point (2,-5)
A.5 units to the left and 2 units up from the origin
B. 5 units to the right and 2 units up from the origin
C. 2 units from the left and 5 units down from the origin
D. 2 units to the right and 5 units down from the origin
HELPPPPPP!!!!!!!
Y= 5x +8
Write a real-world problem that can be represented by the following equation.
Answer:
caca
Step-by-step explanation:
is travelling to another country.
He flies for 7 hours at an average speed of 990 km/h on one plane.
He then flies for 6 hours 15 minutes at an average speed of 920 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answer:
First time=7hours
First speed=990km/hour
First distance=first time×first speedD=(
S×T)
D=990km/hr×7hrs
D=6930km.
Second time=6&14min.
Second speed=920km/hr
Second distance=second speed×second time (D=s×t)
D=920km/hr×6&14min.
D=1500
Total distance=6930+1500
=8430
Help me pls this is urgent ;>
Answer:
[tex] \frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2[/tex]
What is the value of (52 - 10) = 5 x 23?
А
0
B
18
C
24
D 40
Answer:
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5,0 is not a solution to the system of linear inequalities.
Please help!!!!!!!!!!
Answer:
557.8 square inches
each square is 5". the base is 4x4 squares- so 20 inches square. 20x20= 400sq inches.
the semicircle at the top is 20 inches in diameter, which makes the radius 10 inches.
pi× 10^2= 314.16.
duvide that by 2 to get a semicircle- 157.8
so, the total area is the 400+ 157.8, for a total area of 557.8 square inches
2. Which pair of angles is not congruent? F. ∠1 and ∠7 G. ∠3 and ∠5 H. ∠4 and ∠6 I. ∠2 and ∠5
Answer:
I) ∠2 and ∠5
Step-by-step explanation:
Need Help ASAP
Thanks so much in advance...
Answer:
I will post 4,5 and 6 separately.
The volume of a suitcase if 8,556 cubic inches. It is 32 inches long and 15.5 inches high. What is width of the suitcase?
Answer:
17.25
Step-by-step explanation:
8556 / 32 / 15.5 = 17.25
Mast
Gabi tried to solve an equation step by step.
Skill
= 80
10
algeb
1
j
· 10 = 80 · 10 Step 1
10
ne-
j = 800
Step 2
Find Gabi's mistake.
ne-
Choose 1 answer:
cual
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
