The length of a rectangle is 6.7 cm, correct to 2 significant figures. For the length of the rectangle
write down the lower bound
Answer:
[tex]Lower\ Bound = 6.65cm[/tex]
Step-by-step explanation:
Given
[tex]Length = 6.7cm[/tex] to 2sf
Required
The lower bound
The lengths are approximately 6.7cm to 2sf are:
[tex]Length = \{6.65 \to 6.74\}[/tex]
Such that:
[tex]Length = \{Lower\ Bound \to Upper\ Bound\}[/tex]
So, by comparison:
[tex]Lower\ Bound = 6.65cm[/tex]
What is the effective rate of interest if $1,000 compounds to $1,331 in 3 years?
The effective rate of interest, if $1,000 compounds to $1,331 in 3 years is
%.
9514 1404 393
Answer:
10%
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r)^t
Filling in the given values, we have ...
1331 = 1000(1 +r)^3
1.331^(1/3) = 1 +r = 1.1 . . . . . divide by 1000, take the cube root
r = 0.1 = 10% . . . . . . . subtract 1
The effective rate is 10% per year.
b. Convert 17 g to oz
Answer:
2176 ounces
Step-by-step explanation:
one gallon has 128 ounces
If f(x) = 6x3 – 11x2
6x3 – 11x2 – 26x + 15 and
f(3) = 0, then find all of the zeros of f(x)
algebraically.
Answer:
f(6)g(8)f(3)=0
Step-by-step explanation:
its a mathematics formula its ia trick
100 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
15
Step-by-step explanation:
To find the answer you multiply the length by the width.
5×3=15
A combined total of $53,000 is invested in to two bonds that pay 2% and 8.5% simple interest. The annual interest is %3,335. How much is invested in each bond?
Write the equation of the circle that is centered at (- 13, - 2) and has a diameter of 24^ *
Step-by-step explanation:
Given :-
Centre = (-13,-2) Diameter = 24And we need to find out the equation of the circle. Since the diameter is 24 u therefore it's radius will be 12 u . Now we can use the Standard equation of circle to find out the equation .
Standard equation of circle :-
[tex]\implies (x-h)^2+(y-k)^2 = r^2 [/tex]
Where (h,k) is centre and r is radius.[tex]\implies (x-(-13))^2+(y-(-2))^2 = 12^2 \\\\\implies ( x+13)^2+(y+2)^2=144 \\\\\implies x^2+169+26x+y^2+4+4y=144\\\\\implies x^2+y^2+26x+4y+ 29 =0[/tex]
Find the sum of 5/8 + 3/10 *
Answer:
37 / 40 or 0. 925
Step-by-step explanation:
5/ 8 + 3 / 10
= 37 / 40
= 0. 925
Mark brainliest pls
This might acually affect Lebron's Legacy
Please help me with this question!:))
Answer:
6
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
the two lines mean absolute value. The absolute value of a number is just the number positive. For example the absolute value of -5 is 5 and the absolute value of 5 is 5. So on C, when you plug in -6, you get the absolute value of -6 which is 6. 6 is not greater than 6
if that makes sense :)
solve this inequality 2(4x+1)<3(2x-3)
Answer:
x<-11/2
Step-by-step explanation:
but don't trust me too much bestie
URGENT HELPP!!!NO LINKS
Answer:
25 I believe
Step-by-step explanation:
think has 5 letters
only using it once ofc
5×5= 25
The college bookstore tells prospective students that the average cost of its textbooks is $92 per book, with a standard deviation of $15. The engineering students think that the average cost of their books is higher than the average for all students. To test the bookstore’s claim against their alternative, the engineering students collect a random sample of size 45, and calculate x = $97.34.
Grade: 5 4 3 2 1
Communication strong ←− − − − − − −→ weak ×2
Required:
Conduct a hypothesis test with α = 0.05 to see if the students’ claim is supported. Use the classical approach.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the attached file for the solution.
It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
Answer:
22
Step-by-step explanation:
5.50/0.25 = 22
Answer:
22
Step-by-step explanation:
5.50 cups of sugar divided by the .25 cups needed for each batch gives you 22 :)
Find the area of the figure
area: units2
Answer:
24 units²
Step-by-step explanation:
Top triangle: 1/2x2x4=4
Main rectangle: 2x4=8
Bottom trapezoid: 4+8=12. 12÷2=6. 6x2=12
4+8+12=24
la
You spend some time in the kitchen making sure the recipe is just right for
the cooking show. You spend 2 3/4 hours baking and half of an hour
cleaning up the kitchen. How much time were you in the kitchen?
Please hel p me. !!!!!!! I need the median.
In ascending order,
36, 43, 50, 51, 58, 59, 60, 69, 73
N=9
median (Q2)= N+1/2
or, Q2= 9+1/2
or, Q2= 10/2
= 5th item
Therefore, the median is 58.
I don't know if this is correct or not.
football team scores 42 points in 3
games. Find the unit rate
Answer:
14
Step-by-step explanation: divide..
Answer:
14 points per game
Step-by-step explanation:
42/3 = 14
QUESTIONS
A salt is packed in jars containing 32 grams. How many jars can be filled from 15kg of the salt? [
Answer:
Number of jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)
Step-by-step explanation:
Given:
Amount of salt containing in jar = 32 gram
Total amount of salt in jar = 15 kg
Find:
Number of jars can be filled from 15kg of the salt
Computation:
Total amount of salt in jar = 15 kg
Total amount of salt in jar (in grams) = 15 x 1000 g
Total amount of salt in jar (in grams) = 15,000 g
Number of jars can be filled from 15kg of the salt = Total amount of salt in jar (in grams) / Amount of salt containing in jar
Number of jars can be filled from 15kg of the salt = 15,000 / 32
Number of jars can be filled from 15kg of the salt = 468.75
Number of jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)
follow the picture this is confusing
Step-by-step explanation:
This is a familiar conversion problem:
[tex]3.3 \times {10}^{2} lightyears \times \frac{5.9 \times {10}^{12} miles}{1 \: lightyear} [/tex]
[tex] = 1.95 \times {10}^{15} \: miles[/tex]
Answer:
see below
Step-by-step explanation:
3.3 × 10^2 light years
one light year is 5.9 × 10^12 miles
you need to multiple these two values
3.3 × 10^2 light years × 5.9 × 10^12 miles/light year =
= (3.3 × 5.9) × 10^2 × 10^12
= 19.47 × 10^(2 + 12)
= 1.947 × 10^1 × 10^14
= 1.947 × 10^15 miles
What is the volume of the cube shown below?
The surface area is what?? These are the numbers 14 cm, 14cm, and 10cm
Pls answer fast
Since the shape is a square pyramid, the base would be 14 by 14. The area of one triangle would be 10 times 14 times 1/2 = 70. 70 times 4 = 280. 14 times 14 = 196
196 + 280 = 476
Final answer = 476
The image of the point (-5, 1) under a translation is (-6,3). Find the
coordinates of the image of the point (2, -3) under the same translation.
Answer:
The coordinates are (1,-1).
Step-by-step explanation:
The image of the point (-5, 1) under a translation is (-6,3).
Point x was -5 and now is -6, and y was 1 and now is 3. Thus, the transaction rule is:
(x,y) -> (x - 1, y + 2)
Find the coordinates of the image of the point (2, -3) under the same translation.
(2,-3) -> (2-1, -3 + 2) = (1,-1)
The coordinates are (1,-1).
A woman has eight keys on a key ring, one of which fits the door she wants to unlock. Sherandomly selects a key and tries it. If it does not unlock the door, she randomly selects anotherkey from those remaining and tries to unlock the door with it. She continues in this manner untilthe door is unlocked. Let X be the number of keys she tries before unlocking the door, countingthe key that actually worked.
Required:
Find the expected number of keys she will try before she opens the door.
Answer:
The expected number of keys she will try before she opens the door is 4.5.
Step-by-step explanation:
A woman has eight keys on a key ring, one of which fits the door she wants to unlock.
Each of them is equally as likely to be the one to work, which means that this situation is represented by an uniform distribution with lower bound [tex]a = 1[/tex] and upper bound [tex]b = 8[/tex].
Find the expected number of keys she will try before she opens the door.
The expected value of the uniform distribution is given by:
[tex]E = \frac{a + b}{2}[/tex]
Considering [tex]a = 1, b = 8[/tex], as is the case in this exercise:
[tex]E = \frac{1 + 8}{2} = 4.5[/tex]
The expected number of keys she will try before she opens the door is 4.5.
PLZ HELP ME , PLZ HELP AND PLEASE, PLZ HELP JUST PLZ HELP THANK YOU FOR YOUR TIME
Use the box plot to explain what you know about the spread of this data set.
Answer:
Step-by-step explanation:I found the answer only/3fcEdSx this web[tex]^{}[/tex]site. It seems correct! Link Below!
bit.[tex]^{}[/tex]
Answer:
The range of the data is 75 - 21 = 54 (the difference between the two "whiskers"
The median of the data is 50 (middle line inside the box)
The first quartile "Q1" is 34 (left edge of the box). This means that 25% of the values are < 34.
The third quartile "Q3" is 69 (right edge of the box). This means that 25% of the values are > 69.
The interquartile range is 69-34 = 35. (subtracting Q3 - Q1) 50% of the data falls in this range, from 34 -69. 50% of the data falls in the box.
Let me know if you have questions about this answer. I'm happy to help.
A gallon of gas costs $3.05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the
highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0.5 hours to get to work. The highway has one $1.25 toll.
Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.
Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0.5 hours B. 1 hour C. $1.25 per car D. $3.05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour
Answer:
The quantities that would be used to determine the total cost for Joey to derive to work using the highway are:
A. 0.5 hours
C. $1.25 per car
D. $3.05 per gallon
F. 35 miles per gallon
H. 54 miles per hour
Step-by-step explanation:
Cost of a gallon of gas = $3.05
Distance travelled per gallon on the highway = 35 miles
Distance travelled per gallon in the city = 27 miles
Joey's average speed using the highway = 54 miles per hour
Number of hours to get to work using the highway = 0.5 hours
Toll on the highway = $1.25
Joey's average speed using the city street route = 36 miles per hour
Number of hours to get to work using the city street route = 1 hour
Relevant data for highway driving total costs:
Cost of a gallon of gas = $3.05
Distance travelled per gallon on the highway = 35 miles
Joey's average speed using the highway = 54 miles per hour
Number of hours to get to work using the highway = 0.5 hours
Toll on the highway = $1.25
Total costs for using the highway = $1.25 + ($3.05/35 * 54 * 0.5) = $3.60
Answer:
A, B, D, F, H
Step-by-step explanation:
Find the greatest common factor of 12 and 32.
A) 9
B) 12
C) 6
D) 4
Answer:
4
Step-by-step explanation:
Answer:
12 = 2 × 2 × 3
32 = 2 × 2 × 2 × 2 × 2
Greater Common Factor = 2 × 2 = 4
A bag contains 2 red marbles and 3 blue marbles. What is the probability of drawing a red marble, keeping it, and drawing another red marble?
Answer:
Step-by-step explanation:
the first marble has a probability of 2/5
the second marble has a probability of 1/4
P(r=2) = 2/5 * 1/4 = 2/20 = 1/10
Answer:
2/5, 1/4
Step-by-step explanation:
The total amount of marbles before drawing a marble is 2+3=5. There are 2 red marbles. Thus, the theoretical probability of drawing a red marble from the bag is 2/5.
If you keep the red marble, there are now 4 total marbles in the bag. There is also only 1 remaining red marble. Thus, the theoretical probability of drawing a red marble is now 1/4.
find the slope between the pair of points.
through: (1,-3) and (2,3)
Answer:
6
Step-by-step explanation:
Slope = delta y/delta x
[tex]slope = \frac{y_1-y_2}{x_1-x_2}[/tex]
Slope = (-3-3)/(1-2)
Slope = -6/-1
Slope = 6
Answer:
6
Step-by-step explanation:
Given :-
Two points (1,-3) and (2,3)And we need to find the slope of the line passing through the two points . The slope of the line passing through two points is the difference of y coordinates divided by difference of x coordinates.
Substituting the respective values :-
[tex]:\implies[/tex] m = y₁ - y₂/ x₁ - x ₂
[tex]:\implies[/tex] m = -3 -3 / 1 - 2
[tex]:\implies[/tex] m = -6/-1
[tex]:\implies[/tex] m = 6
Hence the slope of the line is 6.
Rehan wants to add a fence along his triangular garden whose sides are 14m,16m and 20m. What will be the length of fencing material? Give your answer in cm.
Answer:
5000cm
Step-by-step explanation:
14 + 16 + 20 = 50m
50m x 100cm/m = 5000cm
help lol -30=5(x+1) x= ?
1.Distribute
-30=5(x+1). x
[tex]-30=5x^{2}+5x[/tex]
2. Move terms to the left side
[tex]-30=5x^{2} +5x[/tex]
[tex]-30-(5x^{2} +5x)=0[/tex]
3. Rearrange terms
[tex]-30-5x^{2} -5x=0[/tex]
[tex]-5x^{2} -5x-30=0[/tex]
Hope this helps! Sorry if I'm wrong
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{ORIGINAL EQUATION}\downarrow[/tex]
[tex]\large\textsf{ -30 = 5(x + 1)}[/tex]
[tex]\large\text{TURN the EQUATION}[/tex]
[tex]\large\textsf{5(x + 1) = -30}[/tex]
[tex]\large\text{DISTRIBUTE \textsf{5} WITHIN the PARENTHESES}[/tex]
[tex]\large\textsf{5(x) + 5(1) = -30}[/tex]
[tex]\large\textsf{5(x) = \bf 5x}\\\large\textsf{5(1) = 5}[/tex]
[tex]\rightarrow\large\textsf{5x + 5 = -30}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{5x + 5 = -30}}[/tex]
[tex]\large\text{SUBTRACT \textsf{5} to BOTH SIDES}[/tex]
[tex]\large\textsf{5x + 5 - 5 = -30 - 5}[/tex]
[tex]\large\text{CANCEL out: \textsf{5 - 5} because that gives you \textsf{0}}[/tex]
[tex]\large\text{KEEP: \textsf{-30 - 5} because that helps you solve for your \textsf{x-value}}[/tex]
[tex]\large\textsf{-30 - 5 = \bf -35}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{5x = -35}}[/tex]
[tex]\large\text{DIVIDE \textsf{5} to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{5x}{5}= \dfrac{-35}{5}}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{\dfrac{5x}{5}}\large\text{ because that gives you the value of \textsf{1}}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{-35}{5}}\large\text{ gives you the \textsf{x-value}}[/tex]
[tex]\large\textsf{x = }\mathsf{\dfrac{-35}{5}}[/tex]
[tex]\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR x-value}[/tex]
[tex]\boxed{\boxed{\large\textsf{ANSWER: \huge \bf x = -7}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]