Answer:
1. A
2. B
3. A
Step-by-step explanation:
He should conduct the experiment as many times as possible, more the better estimate can be obtained.
Record the no. of 6's and divide the no. of trials to get an estimate of the probability of 6
After many trials, the experimental probability would get closer and closer to the theoretical probability which is 1/8
A construction company purchased seven house lots of the following sizes:
1 ⅜ acres, 2 ⅛ acres, l ⅛ acres, l ¾ acres, and 2 ¼ acres. What is the range of these
lot sizes?_
Answer:
between 1 1/8 acres and 2 1/4 acres
Step-by-step explanation:
The garden bed has a width of 1.5 meters and an area of 6 square meters . Which Equation and Solution correctly represent x , the length , in meters , of the rectangular garden bed
Answer: The answer is 4!
6/1.5= 4
Mr. Thomas cooked 45 hamburgers and hot dogs at a cookout. He cooked three
fewer than twice as many hot dogs as hamburgers. How many hamburgers and
hot dogs were cooked?
Answer:
There are 90 hamburgers and 87 hot dogs
Step-by-step explanation:
It takes Carol 45 minutes to drive to work using two roads. She drives 24 mph on a small road for hour. Then she drives 56 mph on a highway for hour. How far does Carol travel to work?
Answer:
She travels 30 miles for work.
Given,
Total time = 45 minutes
Speed on small world = 32mph
Time on small world = 1/2 hour
Distance = Speed * time =
Distance on small world = 16 miles
Speed on small road = 56mph
Time on small road = 1/4 hour
Distance on small road =
Distance on small road = 14 miles
Total distance = Distance on small world + Distance on small road
Total distance = 16+14= 30 miles
She travels 30 miles for work.
Keywords: Distance, speed
Step-by-step explanation:
Final answer:
Carol travels 12 miles on the small road and 28 miles on the highway, totaling 40 miles to get to work.
Explanation:
The question asks us to calculate the total distance Carol travels to work using two different speeds on two different roads. To solve this problem, we use the formula d = vt, where d represents distance, v is velocity (or speed), and t is time.
On the small road, Carol drives at 24 miles per hour for half an hour (0.5 hours). Therefore, the distance traveled on the small road is:
d = (24 miles/hour)(0.5 hours) = 12 miles
On the highway, she drives at 56 miles per hour for half an hour (0.5 hours) as well. The distance traveled on the highway is:
d = (56 miles/hour)(0.5 hours) = 28 miles
To find the total distance, we add the distances from both roads:
Small road: 12 milesHighway: 28 milesTotal distance = 12 miles + 28 miles = 40 miles
Carol travels a total of 40 miles to get to work.
A bag contains 4 red marbles and 1 yellow marble. What is the probability of drawing a red marble, then replacing that marble, then drawing a red marble again on the second pick?
Answer:
16/25
Step-by-step explanation:
We have 4 red marbles and a total of 4 + 1 = 5 marbles.
Probability is simply (# times a specific event can occur) / (# times any event can occur).
Here, the probability of drawing a red marble is: 4/5 (because there are 4 red marbles to choose from and a total of 5 marbles to choose from).
We replace the marble afterward, so the probability that the second pick is also red would still be 4/5.
Then, multiply the two fractions together: (4/5) * (4/5) = 16/25.
Hope this helps!
Mari needs to rent a storage unit. She needs to determine the volume of the storage unit to decide if the storage unit is big enough to hold her things. If the storage unit is 8 feet high , what is the volume of the storage unit?
Answer:
D. 176
Step-by-step explanation:
segment the shape into two rectangles
(4 + 2) * (5 - 2) * 8 = 144
(2) * (2) * 8 = 32
144 + 32 = 176
Alberts sixth grade class will have five test for social studies they already have two of Alberts grades for these two tests are shown below. If Albert wants the mean of his five tests to be 90 what could be his last three grades. Test 1 was an 85 Test two was a 100
Daniel’s school is selling tickets to the annual talent show. On the first day of ticket sales, the school sold 8 senior citizen tickets and 8 child tickets for a total of $136. The school took in $138 on the second day by selling 9 senior citizen tickets and 4 child tickets. What is the price each of one senior citizen ticket and one child ticket?
Answer:
the answer is 17
Step-by-step explanation:
You divide 8 and 136 and get 17, you multiply 17 and 8 to double check your answer, Hope this helps :P!
What is the domain of this exponential function?
Answer:
Domain = x E R
Step-by-step explanation:
Since an exponential function has no restriction on the "x" value, its domain can range from anywhere on the plane of "x."
What is the slope of y=-x+7
Answer:
The slope is -1
Step-by-step explanation:
y=mx+b where m is the slope
y =-x+7 can be also be written as y=-1x +7
So therefore the number infront of x is considered the slope
-1
Answer:
Slope m = − 1
Y-intercept = 7
what is the volume of the prism
Answer:
the answer is 18
Step-by-step explanation:
A model for consumers' response to advertising is given by the equation N(a)=2000+500 ln (a) Where N(a) is the number of units sold, a is the amount spent on advertising, in thousands of dollars, & a≥1.
How many units are sold when $1000 is spent on advertising?
Answer:
Therefore 2000 units are sold when $1000 is spent on advertising.
Step-by-step explanation:
Given that,
The equation of a model for consumer's response to advertising is
N(a)=2000+500 ln(a)
where a is the amount spent on advertising, in thousand of dollars and a≥1,N(a) is the amount of units sold.
$1000 is spent on advertising.
Since a is in thousand of dollars.
∴a=1
Now plug a=1 in the given model
N(a)=2000+500 ln(1)
⇒N(a)=2000+500×0 [ ∵ln(1)=0 ]
⇒N(a) = 2000
Therefore 2000 units are sold when $1000 is spent on advertising.
Evaluate the geometric series. Please help me out!!!
Answer:
- 1364
Step-by-step explanation:
The n th term of a geometric series is
[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
4[tex](-2)^{n-1}[/tex] ← is an n th term
with a = 4 and r = - 2
The sum to n terms of a geometric series is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex], thus
[tex]S_{10}[/tex] = [tex]\frac{4((-2)^{10}-1) }{-2-1}[/tex]
= [tex]\frac{4(1024-1)}{-2-1}[/tex]
= [tex]\frac{4(1023)}{-3}[/tex]
= [tex]\frac{4092}{-3}[/tex]
= - 1364
An angle whose measure is –405° is in standard position. In what quadrant does the terminal side of the angle fall? Quadrant I Quadrant II Quadrant III Quadrant IV
Answer:
(D)Quadrant IV
Step-by-step explanation:
Given the angle -405
[tex]-405^0=-360^0-45^0\\-45^0=-45^0+360=315^0[/tex]
Angle 315 degrees is in Quadrant IV [tex](270\leq x\leq 360)[/tex], therefore:
Angle -405 degrees is in Quadrant IV.
Answer: its DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
Please help !!!!!
I need it asap
Answer:
just do your homework
Step-by-step explanation:
Answer:
answer is the page is to blurry for my windows 95 can you make it into a better picture so i can help
Step-by-step explanation:
I need help with this ASAP
Answer:
60 degrees
Step-by-step explanation:
These two shapes are similar, which means that their corresponding angles are congruent.
Angle L corresponds to angle X. We know that <L = 60, which means that <X is also equal to 60.
Thus, the answer is 60 degrees.
Hope this helps!
Answer:
60°
Step-by-step explanation:
The two figures are similar and they have the same distribution of angles.
Angle X corresponds to Angle L = 60°
In which step did Cyrus make an error?
7 7 (x - 1)² = 12
(x - 1)2 = 36 Step 1
I-1= 6
Step 2
I=7
Step 3
Answer:
In step 2 Cyrus make an error.
Step-by-step explanation:
Given : Expression [tex]\frac{1}{3}(x-1)^2=12[/tex]
To find : In which step did Cyrus make an error?
Solution :
Expression [tex]\frac{1}{3}(x-1)^2=12[/tex]
Step 1 - [tex](x-1)^2=36[/tex]
Step 2 - [tex]x-1=6[/tex]
Step 3 - [tex]x=7[/tex]
There is a mistake in step 2,
As we are taking root both side so RHS value is +6 and -6.
So that there are two solutions of the equation.
Correct steps are,
Step 2 - [tex]x-1=6,-6[/tex]
Step 3 - [tex]x=7,-5[/tex]
Therefore, In step 2 Cyrus make an error.
Answer is step 2
Step-by-step explanation:
Mark owns a cattle ranch near Hugo, Oklahoma. Mark is currently producing beef at an output level where marginal revenue exceeds marginal cost. In order to
maximize his profit, Mark should
O A. decrease his output.
OB. shut down his ranch.
O c. not change his output.
OD. increase his output.
O E. probably change his output, but more information is needed to determine if he should increase, decrease, or not change it.
Answer:
Answer is D. Increase his output.
Refer below.
Step-by-step explanation:
Mark owns a cattle ranch near Hugo, Oklahoma. Mark is currently producing beef at an output level where marginal revenue exceeds marginal cost. In order to
maximize his profit, Mark should increase his output.
Situation A
Maria opened a new savings
account with an initial deposit of
$100. She deposits $75 into this
savings account every
two-weeks. What equation can
be used to represent Maria's
account balance, a, after she has
completed d deposits?
The equation a = 100 + 75d represents Maria's account balance.
Step-by-step explanation:
Given that,
Maria opened a new savings account with an initial deposit of $100.She deposits $75 into this savings account every two-weeks.You need to find the equation to represent Maria's account balance, a after she has completed d deposits.
Let 'd' be the number of deposits Maria made after the initial deposit.Let 'a' be the total account balance after 'd' deposits.Therefore, the equation for the total account balance can be framed as the sum of the initial deposit and amount deposited after that.
To find the amount that was deposited after the initial deposit :
⇒ $75 × number of times Maria deposited.
⇒ 75 × d
The equation is written as,
⇒ a = 100 + 75d
Hence the equation a = 100 + 75d represents Maria's account balance.
100 points!!!
Multi-Step Equations with Distributive Property
Answer:
An example below
Step-by-step explanation:
5(4a + 7(a + 2b))
First simply the inside bracket using distributive property:
7(a + 2b)
7(a) + 7(2b)
7a + 14b
5(4a + 7a + 14b)
5(11a + 14b)
Use distributive property again
5(11a) + 5(14b)
55a + 70b
Answer:
x= -2
Step-by-step explanation:
An example could be
10 ( x+2) + 3(x+4) = 6(x+3)
Distribute
10x+20 +3x+12 = 6x+18
Combine like terms
13x +32 = 6x+18
Subtract 6x from each side
13x-6x +32 = 6x-6x+18
7x +32 = 18
Subtract 32 from each side
7x +32-32 = 18-32
7x =-14
Divide by 7
7x/7 = -14/7
x = -2
Work out the percentage change when a price of £65 is decreased to £39.
Answer:
40% decrease
Step-by-step explanation:
Say the percent decrease is x%. Then, we can write the equation:
65 - x% * 65 = 39
Notice that 65 is a common factor of both terms on the left, so factor that out:
65 * (1 - x%) = 39
Divide by 65 on both sides:
1 - x% = 0.6
Subtract 0.6 from and add x% to both sides:
x% = 0.4
Remember that % simply means "out of 100", so x% = x/100:
x/100 = 0.4
Multiply by 100:
x = 40
So the percentage decrease is 40%, or the percent increase is -40% (whichever way the question asks).
Hope this helps!
Answer:
p = 40%
Step-by-step explanation:
65 - p%65 = 39
65 - 65p/100 = 39
6500 - 65p = 3900
6500 - 3900 = 65p
65p = 2600
p = 2600 : 65
p = 40%
what is the value of w
Answer: 126 degrees
Formula number of sides -2 times 180 = total degrees for polygon
5-2=3x180= 540
Add the 78+132+137+67=414
540-414= 126
Step-by-step explanation:
Please help me with this one!
Answer: 184
Step-by-step explanation: i looked
How to find the spread in math???
Answer:
interquartile range
range
variance
These are all different ways to find the spread
The spread in math refers to measures like the range, standard deviation, and variance, which estimate the variability within a dataset. The standard deviation and variance provide insights into the dispersion of data points around the mean, while the range shows the overall spread between the highest and lowest values.
Understanding Measures of Spread in Mathematics
To find the spread in math, we consider several different statistics that measure variability or dispersion within a set of data. There are three common measures of spread:
Range: The difference between the highest and lowest values in a dataset. It gives a quick sense of the overall spread but doesn't account for how data is distributed within that range.Standard Deviation: It quantifies the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range. The standard deviation can be calculated differently for a sample or a population.Variance: The square of the standard deviation. While we often report standard deviation rather than variance, both measure the spread in the same way. Variance is particularly important because it's additive, allowing the comparison of variances from different sets of data.An alternative measure, the Interquartile Range (IQR), measures the spread within the middle 50 percent of data and can be estimated from a box plot. When examining distributions like scores in a class, comparing the observed distribution to a theoretical one such as the normal distribution can reveal insights into the probabilities surrounding different ranges of scores.
To perform these calculations accurately, tools such as graphing calculators, statistical software, and probability tables can be used. These resources help to visualize data (e.g., creating a box plot) and calculate statistical values, offering a clear view of the data's distribution and spread.
What is the mean of the values in the stem-and-leaf plot?
Enter your answer in the box.
Key: 2|5 means 25
A stem-and-leaf plot with a stem value of 1 with a leaf value of 2, 3, 5, a stem value of 2 with a leaf value of 8 and 8, a stem value of 3 with a leaf value of 0, and a stem value of 4 with a leaf value of 2.
Answer:
mean = 24
Step-by-step explanation:
In a stem-and-leaf plot, each leaf represents a number or piece of data.
Each the leaf will only show the last digit of the number, and the stem will have the rest.
Examples:
stem value of 1 with a leaf value of 2 = 12
a stem value of 3 with a leaf value of 0 = 30
So, this is your plot:
Stems| Leaves
1 | 2 3 5
2 | 8 8
3 | 0
4 | 2
Your data is 12, 13, 15, 28, 28, 30, 42.
Add up all these numbers and divide by the number of leaves.
Sum of data = 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168
Number of leaves = 7
168 ÷ 7 = 24
∴ The mean is the values in the stem-and-leaf plot is 24.
A line passes through the points (1,4) and (3,-4). Which is the equation of the line
Answer: y=-4x+8
Step-by-step explanation:
The diagram below shows scalene triangle JKL. Triangle J K L. Side L K extends to point H to form exterior angle J K H. Which is true about the diagram? Select two options. Measure of angle J K H + measure of angle J K L = 180 degrees Measure of angle J K L + measure of angle J L K + measure of angle K J L = 180 degrees Measure of angle J K H = measure of angle J L K Measure of angle J K L + measure of angle J L K = 90 degrees Measure of angle K J L = measure of angle K L J
Answer:
Step-by-step explanation:
Measure of angle J K H + measure of angle J K L = 180 degreesTrue.
Measure of angle J K L + measure of angle J L K + measure of angle K J L = 180 degreesTrue. The sum of all interior angles = 180
Measure of angle J K H = measure of angle J L K =Can't tell from info given.
Measure of angle J K L + measure of angle J L K = 90 degreesCan't tell from info given.
Measure of angle K J L = measure of angle K L JCan't tell from info given.
Answer:
A and B or the first two
Step-by-step explanation:
what she saying is true so that means that it is A and B
Write a expression to represent the perimeter of the following triangle. 3k+5. 2k+16 4k+15
Answer:
P = 9k + 36
Step-by-step explanation:
Assuming these are the following sides
3k+5. 2k+16 4k+15
To find the perimeter we add the sides
P = 3k+5+ 2k+16+ 4k+15
Combine like terms
P = 9k + 36
Please help me with this I will mark you as brainliest!
Answer:
21, 42, 63, 84
Step-by-step explanation:
Numbers that have a star and a circle on them are all multiples of 3 and 7. As there are less multiples of 7 between 1-100 we should list the multiples of 7 and then check if they are also multiples of 3.
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98
A quick way of calculating if a number is a multiple of 3 is to see if its digital root is either 3, 6, or 9
7 is not as 7 is not a multiple of 3
14 is not as 1+4 = 5 is not a multiple of 3
21 is, as 2+1 = 3 is a multiple of 3
28 is not, as 2+8 = 10 is not a multiple of 3
35 not, 3+5=8
42 is, 4+2=6
49 is not, 4+9=13
56 is not , 5+6=11
63 is, 6+3=9
70 is not, 7+0=7
77 is not, 7+7=14, 1+4=5
84 is, 8+4=12, 1+2=3
91 is not, 9+1=10 1+0 = 1
98 is not, 9+8=17, 1+7=8
The seven students in a sewing
class equally share the cost of
fabric and other supplies. Last
month, each student paid ($167.94
+ $21.41) / 7. This month, each
student paid ($77.23 + $ 6.49) / 7.
Without doing any calculations, in
which month did each student pay
more?
Answer:
Last month
Step-by-step explanation:
Just look at the numbers.
The first number is (167.94 + 21.41) / 7 and the second number is (77.23 + 6.49) / 7. We see that they both have the denominator of 7, so we can just focus on comparing the numerators.
Look at 167.94 + 21.41. Clearly, 167.94 is bigger than 77.23 from the second number. We also see that 21.41 is clearly bigger than 6.49. If both numbers of the first number are bigger than both numbers from the second number, we know that the sum of the first two numbers will be bigger than the second sum.
Thus, the bigger the numerator, the bigger the amount paid, even including the dividing 7 at the end.
Thus, last month, the students had to pay more.
Hope this helps!
Answer:
Last
Step-by-step explanation:
Values being added are greater in last month as compared to this month