Answer: 14.8
Step-by-step explanation: If the number in the hundredths place is less than 5, you must round down. On the contrary, if that number is 5 or greater, you must round up. This applies for rounding to any place not just the tenths place. For example, if you were to round it to the ones place, the answer would be 15.
Answer:
14.8
Step-by-step explanation:
The hundredth is smaller than 5, therefore you have to round down.
hope it helps
Write the equation of the line.
(Check image)
Options:
a. y = -2/3x + 4
b. y = 2/3x + 4
c. y = 3/2x + 4
d. y = -3/2x + 4
please show step by step
Lamonte has 50 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 288 square meters. List each set of possible dimensions (length and width) of the field.
The dimensions of the length and width are 25 meters and 12. 5 meters respectively.
How to determine the valuesArea of a rectangle
area of rectangle = l × w
where
l = length
w = width
Note that,
Perimeter = 2w+ l
50 = 2w + l
l = 50 - 2w
Hence,
area = w(50 - 2w)
288 = 50w - 2w²
-2w² + 50w - 288 = 0
-w² + 25w - 144 = 0
The dimension w can be found as follows;
w = - b / 2a
where
a = -1
b = 25
w = - 25 / 2 × -1
w = 12.5 meters
Then, we have that
l = 50 - 2w
Substitute the value of w
l = 50 - 2(12.5)
l = 50 - 25
I = 25 meters
Thus, the dimensions of the length and width are 25 meters and 12. 5 meters respectively.
Learn more about area of a rectangle here:
https://brainly.com/question/14137384
#SPJ1
An ice chest contains 9 cans of apple juice6 cans of grape juice5 cans of orange juiceand 4 cans of pineapple juice Suppose that you reach the container and randomly select three cans in successionFind the probability of selecting no grape juice Select one 243 506 6 17/45; c * 5/506; d * 102/253
Answer:
243/506
Step-by-step explanation:
There are 24 total juice boxes.
18 of them are not grape
You have an 18/24 chance of picking not grape juice
The second time, 1 is removed, then another is removed. This creates:
(18/24)*(18/23)*(18/22) = 243/506
Which of the following best describes both the domain and range of the distance function d=55t
Answer: All real numbers
Step-by-step explanation:
The domain and range of all linear functions is the set of real numbers.
Practise the Skill
A container holds 4 yellow balls, 3 blue balls and 1 red ball.
Luke chooses a ball at random.
What is the probability that Luke will pick a blue ball?
Give your answer as a fraction in its lowest terms.
The probability that Luke will pick a blue ball is 3/8.
We have,
To find the probability of Luke picking a blue ball, we need to determine the total number of balls in the container and the number of blue balls.
Total number of balls
= 4 (yellow balls) + 3 (blue balls) + 1 (red ball)
= 8 balls
Number of blue balls = 3
Now, the probability (P) of picking a blue ball is given by:
P = Number of favorable outcomes (picking a blue ball) / Total number of possible outcomes
P = 3 (number of blue balls) / 8 (total number of balls)
Now, we can simplify the fraction to its lowest terms:
P = 3/8
Thus,
The probability that Luke will pick a blue ball is 3/8.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ7
Find the surface area of the square pyramid below if the length of the sides of the base are 10 cm, and the slant height is 15 cm.
The surface area of the square pyramid if the length of the sides of the base are 10 cm, and the slant height is 15 cm is 416.2 cm²
Surface areaSurface area of the square pyramid
= a² + 2a√a²/4 + h²
where,
a = sides of base = 10 cmh = slant height = 15 cmSurface area of the square pyramid
= a² + 2a√a²/4 + h²
= 10² + 2(10)√10²/4 + 15²
= 100 + 20√100/4 + 225
= 100 + 20√25 + 225
= 100 + 20√250
= 100 + 20(15.81)
= 100 + 316.2
= 416.2 cm²
Therefore, the surface area of the square pyramid if the length of the sides of the base are 10 cm, and the slant height is 15 cm is 416.2 cm²
Learn more about surface area:
https://brainly.com/question/16519513
#SPJ1
3^2x3^3 write on exponential form
The exponential form of the given information 3^2x3^3 is 3⁵.
What are exponential forms?The exponential form is a convenient way of expressing or writing repeated multiplication expressions concerning their bases and power.
From the information given, the given expression can be written in exponential form by using the law of indices.
= 3^2x3^3
[tex]\mathbf{=3^{2+3}}[/tex]
[tex]\mathbf{=3^{5}}[/tex]
Therefore, we can conclude that the exponential form of the given expression is 3⁵.
Learn more about exponential forms here:
https://brainly.com/question/23275698
#SPJ1
In ΔOPQ, m∠O = 107° and m∠P = 28°. Which statement about the sides of ΔOPQ must be true?
QO > OP > PQ.
QO > PQ > OP.
PQ > OP > QO.
OP > QO > PQ.
PQ > QO > OP.
OP > PQ > QO.
Answer:
QO < OP < QP
Step-by-step explanation:
The third angle, angle Q, must measure 45° since angles in a triangle add to 180°.
So, OQ < OP < QP.
Answer:
PQ>OP>QO
Greater than symbol goes from largest to smallest
What is the difference of the fractions below? 10x/3-2x/3 2x 13 3 A. 8 B. 8x C. 8x/3 D. 8/3x
The difference of the fractions is 8x/3. Option C is correct.
Given the fraction is 10x/3-2x/3.
When subtracting fractions with the same denominator, just subtract the numerators of the fractions. To find the difference between equal fractions, we subtract the smaller numerator from the larger numerator.
The given expression is 10x/3-2x/3.
Here the denominator in both the fractions are same so, we will take the LCM, we get
10x/3-2x/3=(10x-2x)/3
Now, we will simplify the numerator by subtracting the smaller term from larger, we get
10x/3-2x/3=8x/3
Hence, the difference of the fractions 10x/3-2x/3 is 8x/3 and the correct option is C.
Learn more about difference of fractions from here brainly.com/question/8672817
#SPJ1
HELP ASAPPPP PLEASE!!!!
Answer:
(c) 45°
Step-by-step explanation:
A protractor is used to measure angles by aligning one of the sides of the angle with the 0 mark on the protractor scale. Then the value of the angle is read from the same scale where it is crossed by the other side of the angle.
ApplicationHere, ray BA crosses the outer scale at 0. The other ray of the angle, BC, crosses the outer scale halfway between 40 and 50, obscuring the mark at 45°.
The measure of angle ABC is 45°.
C. 45°
Step-by-step explanation:When measuring with a protractor one of the rays should line up with the straight edge of the protractor, then match up the second ray to the tick marks. However, it can be confusing to tell how to read a protractor.
Clockwise
This angle moves clockwise. This means that the second ray is clockwise to the ray at the bottom. When using a protractor that opens up to the left like this, read the top row of the protractor. The second ray matches the 45-degree mark.
Acute vs Obtuse
There is another way to tell which row of numbers to read. By looking at the drawn angle we can tell the angle is acute (smaller than a right angle). So, the measurement must be less than 90. Therefore, the top row must apply in this situation, meaning the angle is 45°.
What is the following product 3 root 24 • 3 root 45
Answer:
54sqrt(30)
Step-by-step explanation:
3sqrt(24) can be simplified to 6sqrt(6) as 24 can be written as 4 * 6 and 4 is a perfect square
3sqrt(45) can also be written as 9sqrt(5) as 45 can be written as 5 * 9 and 6 is a perfect square
you can multiply 6sqrt(6) * 9sqrt(5) as though the square roots were variables
so
54sqrt(30)
this is your final answer
the rounded answer is 295.770181
Emily purchased a bond valued at $20,000 for highway construction for $10,460. If the bond pays 7.2%
annual interest compounded monthly, how long must she hold it until it reaches its full face value?
...
Answer:
26.556192
Step-by-step explanation:
7.2×10460÷100
20000÷(7.2×10460÷100)
15) Mr. and Mrs. Rupe and their 4 sons are taking a 2500 mile camping trip across country. They plan to spend $120 for campsites per
day. The camper rental fee is $65 a day. While pulling the camper their car has a fuel economy of 8 miles per gallon. They estimate $85
per day for food for the 5-day trip. If gasoline is $1.92 per gallon how much will their trip cost?
O a.) $1950
Ob.) $1850
Oc.) $2950
Od.) $1750
Answer:
A $1950
Step-by-step explanation:
Food, camper rental and camp site will cost 1350
(120 + 65 + 85)5 = 1350
The trip is 2500 and the car gets 8 miles per gallon 2500/8 = 31.5. The will need to buy 31.5 gallons of gas at 1.92 a gallon or $600 (31.5 x 1.92).
When we add the cost of gas to the other costs, we get a total of 1950 (1350 + 600)
Planes A and B intersect.
n
772
W
k
Mark this and return
V
19
Z
X
2
Which describes the intersection of line m and line nº
O point W
point X
point Y
O point Z
The point that describes the intersection of line m and line n is; Point W
How to interpret Intersection of Planes?
Intersection of the two lines is defined as the point where the two lines cross or meet each other.
It is given that the lines m and n intersect each other, which means that they must be intersecting each other at some point.
From the figure, it can be seen that in plane A, the lines m and n intersect each other at point W, thus point W is the point of intersection of the two line m and n.
Read more about Intersection of Planes at; https://brainly.com/question/10955258
#SPJ1
(2^x+y , 3^x-y )= (16,9) find the value of x and y
Answer:
x=3,y=1
Step-by-step explanation:
2^x+y=16,3^x-y=9
16=2^4,9=3^2
x+y=4,x-y=2 add both
2x=6,x=3
3-y=2,y=1
????????????????????????????????????????????
Please help
Answer: (-2,2)
Step-by-step explanation:
The solution to a system of equations represented graphically is the point where the graphs intersect.
This is so confusing please help asap !
There are 18 apple candies and 12 cherry candies mixed in a bag. If one candy is chosen from that bad, the odds of picking an apple candy are:
A: 1 out of 18
B: 2 out of 5
C: 3 out of 5
D: 3 out of 8
The tomato plants in Ms. Lang's
garden grow 2 inches every 3 days. How much will they grow in 15 days?
Answer:
10 inches
Step-by-step explanation:
15 days/3 days =5
5 x 2 =10
In 2011 the U.S. Department of Transportation reported with 95% confidence that the average length of a motor vehicle trip in the United States was 9.72 miles with a margin or error of 0.22 miles.
With 95% confidence the authors of the report are claiming that the true average length of a motor vehicle trip in the United States is between ________and_________ miles.
The level of confidence for this estimate is ________%
Using the interpretation of the confidence interval, it is found that:
With 95% confidence the authors of the report are claiming that the true average length of a motor vehicle trip in the United States is between 9.50 miles and 9.94 miles.The level of confidence for this estimate is 95%.What is the interpretation of a x% confidence interval?It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.
Considering the mean and the standard error, the bounds of the interval are:
a = 9.72 - 0.22 = 9.50 miles.b = 9.72 + 0.22 = 9.94 miles.Hence:
With 95% confidence the authors of the report are claiming that the true average length of a motor vehicle trip in the United States is between 9.50 miles and 9.94 miles.The level of confidence for this estimate is 95%.More can be learned about confidence intervals at https://brainly.com/question/25890103
#SPJ1
14) Write the scientific notation.
12 million
Answer:
1.2 × 107 this is the sciencetific notation for 12 million
..
(07.06) There are currently 4 people signed up to play on a baseball team. The team must have at least 9 players.
Which of the following graphs includes the possible values for the number of people who still need to sign up for the team?
Number line with closed circle on 5 and shading to the left
Number line with closed circle on 5 and shading to the right.
Number line with open circle on 5 and shading to the left.
Number line with open circle on 5 and shading to the right.
A graph which includes the possible values for number of people who can still sign up for the team is: B. number line with closed circle on 5 and shading to the right.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains numerical values (positive and negative numbers) that are placed at equal intervals along its length.
Let the number of people who can still sign up for the team be represented by x. Thus, the inequality is given by:
x + 4 ≥ 9
x ≥ 9 - 4
x ≥ 5.
This ultimately implies that, there could be five (5) or more people that can still sign up for the team and a graph which includes these possible values is a number line with closed circle on five (5) and shading to the right because it can get larger.
Read more on number line here: brainly.com/question/24644930
#SPJ1
Which of the following best represents the linear regression equation for the
×-values and log(y)-values of the data shown below?
By using Microsoft excel to plot the data on a scatter plot, the linear regression equation can best be represented by: A. y = 12.11.1.36^x
What is a regression line?A regression line can be defined as a statistical line that best describes the behavior of a data set and such, it is a line that best fits a set of data.
By using Microsoft excel to plot the data on a scatter plot, we can logically deduce that linear regression equation for the x-values and log(y)-values is given by:
y = 12.11.0.30^x
Thus, it can best be represented by: y = 12.11.1.36^x
Read more on regression here: brainly.com/question/26059078
#SPJ1
A farmer harvests 70 apples and 98 peaches. They want to make baskets that have both apples and peaches to sell at the market. Each basket should contain the same combinations of fruit. They want to sell all the apples and peaches and as many baskets as possible. they can use the greatest common factor to help them divide up the fruit.
This means the farm can make x baskets of apples and y peaches.
Farmer will made 14 basket each of 5 apple and 7 peaches.
what is greatest common factor?
Greatest common factor (GCF) is largest common factor in the given number.
first find common factor of numbers 70 and 98
70 = 2*5*7
98 = 2*7*7
the common factor are 2 and 7
the greatest common factor is 2*7=14
70 apples = 14*5
98 peaches = 14*7
farmer will made 14 basket each of 5 apple and 7 peaches.
to learn more please refer : https://brainly.com/question/219464
# SPJ9
The farmer will make 14 baskets containing each of 5 apples and 7 peaches.
How many baskets can be made which contain both apples and peaches and each basket should contain the same combinations of fruits?Given:
A farmer harvests 70 apples and 98 peaches.They want to make baskets that have both apples and peaches to sell at the market.Each basket should contain the same combinations of fruit. They want to sell all the apples and peaches and as many baskets as possible.Find:
How many baskets can the farm make having x apples and y peaches in the baskets?Solution:
So, for solving this kind of question first we have to find the greatest common factor, we get;
70 = 2*5*7
98 = 2*7*7
the common factor are 2 and 7
the greatest common factor is 2*7=14
70 apples = 14*5
98 peaches = 14*7
So, the farmer will make 14 baskets each of 5 apples and 7 peaches.
To learn more about GCF, refer to:
brainly.com/question/219464
# SPJ9
I am odd I am less than 40 both of my digits are perfect squares t-u=0
Answer:
19 or 14
Step-by-step explanation:
Since the number is odd you can disqualify all even numbers up to 40 including 0.
Next since this number has 2 digits you can take out all 1 digit numbers.
After that, find perfect squares that also are 1 digit each.
Lastly merge the combination of the numbers as each digit on each sides in such a way that the result is less than 40.
Evaluate 2a x 3 + b, if a = 5 and b = 1.
Answer:
31
Step-by-step explanation:
replace the values of a and b in the given term
=2a x 3 + b
2(5) x 3 + (1)
2x5 x 3 + 1
10 x 3 + 1
30 + 1
31
Explain the difference between using area and volume with 2-D and 3-D figures.
The difference between Area and Volume lies in the fact that the former relates to plane shapes while the latter takes the concept of solid shapes into account.
What is the difference between Area and Volume?The distinctive characteristic of area is the space occupied by a two-dimensional, 2D flat object in a plane while Volume on the other hand is defined as the space covered by a three-dimensional, solid object. The area is quantised in square units while the volume is quantised in cubic units.
Read more on area and volume;
https://brainly.com/question/1972490
#SPJ1
The time taken to complete a motorcycle race is normally distributed, with an average time (µ) of 2.5 hours and a standard deviation () of 0.5 hours.
What is the probability that a randomly selected cyclist will take at least 2.45 hours to complete the race?
Using the normal distribution, there is a 0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 2.5, \sigma = 0.5[/tex]
The probability that a randomly selected cyclist will take at least 2.45 hours to complete the race is one subtracted by the p-value of Z when X = 2.45, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.45 - 2.5}{0.5}[/tex]
Z = -0.1
Z = -0.1 has a p-value of 0.4602.
1 - 0.4602 = 0.5398.
0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.
More can be learned about the normal distribution at https://brainly.com/question/4079902
#SPJ1
Which list below shows the fractions in order from greatest to least?
A. 3/6, 4/9, 3/7, 3/10
B. 3/10, 3/7, 4/9, 3/6
C. 3/10, 4/9, 3/7, 3/6
D. 3/6, 4/7, 4/9, 3/10
Answer:
Step-by-step explanation:
a brave knight traveled on his horse from one kingdom to another in 2 days the first day he rode at a speed of 10 mph and the second day he rode at a speed of 8 mph if he traveled exactly the same amount of time each day and went 180 miles find how many hors it took the knight to travel from one kingdom to another
Using the relation between velocity, distance and time, it is found that it took the knight 20 hours to traveled from one kingdom to another.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence:
v = d/t
On the first day, he traveled at a speed of 10 mph, a distance of d, hence:
10 = d/t
t = d/10
On the second day, he traveled at a speed of 8 mph, a distance of 180 - d, hence:
8 = (180 - d)/t
t = (180 - d)/8
Equaling both equations for t, we find the distance on the first day, hence:
d/10 = (180 - d)/8
8d = 1800 - 10d
18d = 1800
d = 100 miles.
The time on the first day was:
t = 0.1d = 0.1 x 100 = 10 hours.
On the second day he traveled the same amount of time, hence, in total, he traveled 20 hours.
More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
#SPJ1