Answer: (5) -5 > -18
Step-by-step explanation:
The farther the negative number is from 0, the smaller it becomes.Negative numbers will be smaller than positive numbers, since they're smaller than 0.-5 is 5 away from zero, making it larger than -18 since it's closer to 0, while -18 is 18 away from zero.
If a=2b=2c find the value of each.
Answer:
b=a/2
c=a/2
b=c
a=2b and a=2c
PLZ HELP ME I NEED HELP PLZZZ
There are 6 red marbles, 9 blue marbles, and 10 green marbles in a bag.
What is the theoretical probability of randomly drawing either a blue marble or a green marble?
36%
76%
19%
40%
Answer:
76%
Step-by-step explanation:
Total Outcomes (9 blue + 10 green)/Total options (9+10+6)
19/25
=76%
If 1/2 of a loaf of brown bread costs R6,how much will 2 halves cost
Step-by-step explanation:
1/2 is equal to R6.
So 2 halves mean R6+R6=R12
Or
R6×2= R12
Answer:R12
In how many years will the population of a town be 26901 from 24400 at the growth rate of 5% per annum ?
Answer:
2 years
Step-by-step explanation:
population in 1 year= 24400*105%=25620
population in 2 year= 25620*105%=26901
im giving you 30 points just help me :((((((((
Michael is cutting logs. He has 3 logs. Michael will cut each log by. Determine the
number pieces of wood that Michael will have.
Answer:
Micheal will have 6 logs.
Step-by-step explanation:
Each log will divide into two pieces,so.
3×2= 6
Find the surface area?
Answer:
Surface area of prism is 48km^2
Write the equation in slope-intercept form.
y+3 - 2(x-1)
Answer:
y = 2x - 5
Step-by-step explanation:
[tex]y+3=2(x-1)\\y+3=2x-2\\y+3-3=2x-2-3\\y=2x-5[/tex]
Write the solution for x+5≤8 x + 5 ≤ 8 in set notation
9514 1404 393
Answer:
{x ∈ ℝ | x ≤ 3}
Step-by-step explanation:
Subtracting 5 from both sides, we see the solution is ...
x ≤ 3
In set notation, this can be written ...
{x ∈ ℝ | x ≤ 3}
Draw a graph of direct proportion, expressed by the formula: y=3x
Answer.
ANSWER
.......
Simplify Square root (150n^2)
Answer:
12
Step-by-step explanation:
A study was done to determine the average number of homes that a homeowner owns in his or her lifetime. For the 50 homeowners surveyed, the sample average was 5.1 and the sample standard deviation was 3.8. Calculate the 95% confidence interval for the true average number of homes that a person owns in his or her lifetime.
Answer:
The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom,which 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 = 2.0096
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0096\frac{3.8}{\sqrt{50}} = 1.1[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 5.1 - 1.1 = 4
The upper end of the interval is the sample mean added to M. So it is 5.1 + 1.1 = 6.2.
The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).
The cost of three pants and four shirts is $68.45 if a pant costs $6.85 more than a shirt find the cost of a pant and a shirt estimate to the nearest whole number.
Answer:
3 pants are $20.55
4 shirts are $47.9
Step-by-step explanation:
a pant is $6.85 × 3= $20.55
68.45 - 20.55 = $47.9
$47.9 ÷ 4 = $11.98 a shirt
!!!Please help!!!
What is the following quotient?
96
B
O 2.13
4.
2.V22
12
Complete the table using the equation w = m + 4
Answer:
5+4 = 9
6+4 = 10
7+4 =11
Step-by-step explanation:
Answer:
(5,9)
(6,10)
(7,11)
Step-by-step explanation:
w = m + 4
when m = 5,
w = 5 + 4 = 9
when m = 6
w = 6 + 4 = 10
when m = 7
w = 7 + 4 = 11
Lesson 1-1 Properties of Real Number
Each quotient must have a_______ denominator
A quotient is found by dividing two numbers and a quotient with a denominator of zero is infinity which is not a real number
The word that complete the sentence is therefore;
Each quotient must have a nonzero denominator
The reason by which the above word is selected is as follows;
The set of Real Numbers include;
Rational numbers; a/b, where b = nonzero number
Integers; Positive and negative whole numbers, including zero
Whole numbers; 0, 1, 2
Natural numbers; Positive whole numbers excluding zero
Irrational number; Numbers that cannot be expressed as a/b
A quotient is the outcome of dividing two numbers, x by y
Therefore;
Quotient = x/y
A quotient can be a rational or irrational number, however, a quotient that has a denominator of zero (y = 0) is infinity, which is not a real number
When y = 0, x/y = x/0 = ∞ (∞ is not a real number)
Therefore, from the properties of Real Numbers,
Each quotient must have a nonzero denominator to be a Real Number
Learn more about Real Numbers here;
https://brainly.com/question/11030818
Adrian hopes that his new training methods have improved his batting average. Before starting his new regimen, he was batting 0.250 in a random sample of 56 at bats. For a random sample of 25 at bats since changing his training techniques, his batting average is 0.440. Determine if there is sufficient evidence to say that his batting average has improved at the 0.02 level of significance. Let the results before starting the new regimen be Population 1 and let the results after the training be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
According to the manufacturer's claim, we build an hypothesis test, find the test statistic and the p-value relative to this test statistic, we have that:
The value of the test statistic is z = 1.65.The p-value of the test is of 0.0495 > 0.02, which means that there is not sufficient evidence to say that his batting average has improved at the 0.02 level of significance.As the test involves a comparison of samples, it involves subtraction of normal variables, and for this, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Before:
Average of 0.250 in 56 at bats, so:
[tex]p_B = 0.25[/tex]
[tex]s_B = \sqrt{\frac{0.25*0.75}{56}} = 0.0579[/tex]
After:
Average of 0.44 in 25 at bats, so:
[tex]p_A = 0.44[/tex]
[tex]s_A = \sqrt{\frac{0.44*0.56}{25}} = 0.0993[/tex]
Test if there was improvement:
At the null hypothesis, we test if there was no improvement, that is, the subtraction of the proportions is 0:
[tex]H_0: p_A - p_B = 0[/tex]
At the alternative hypothesis, we test if there was improvement, that is, the subtraction of the proportions is positive, so:
[tex]H_1: p_A - p_B > 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the samples:
[tex]X = p_B - p_A = 0.44 - 0.25 = 0.19[/tex]
[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.0579^2 + 0.0993^2} = 0.1149[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{0.19 - 0}{0.1149}[/tex]
[tex]z = 1.65[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a difference of at least 0.19, which is 1 subtracted by the p-value of z = 1.65.
Looking at the z-table, z = 1.65 has a p-value of 0.9505.
1 - 0.9505 = 0.0495.
The p-value of the test is of 0.0495 > 0.02, which means that there is not sufficient evidence to say that his batting average has improved at the 0.02 level of significance.
A similar question is found at https://brainly.com/question/23827843
What is the x-intercept of the graph of the function f(x) = x2 − 16x + 64?
(−8, 0)
(0, 8)
(8, 0)
(0, −8)
Answer:
(8,0)
Step-by-step explanation:
f(x) = x^2 − 16x + 64
The x intercepts ( or zeros) are found by setting y=0
0 = x^2 − 16x + 64
Factor
0 = (x-8)(x-8)
Using the zero product property
x-8 =0 x-8 =0
x=8 x=8
(8,0)
Answer:
8,0
edge 20201
18. The maintenance department ordered $3,450 worth of supplies from a valve and fitting supplier. The
supplier will allow a 15% discount because of the large order. How much will the maintenance department
have to pay for the supplies?
A. $2,932.50
B. $3,398.25
C. $3,406.45
D. $2,954.50
Answer:
A) [tex]\$\ 2932.5[/tex]
Step-by-step explanation:
One is given that a certain amount of money was allotted to be spent on supplies. However, there was a discount applied to the purchase. One is asked to find the amount of money actually spent on the supplies.
$3450 was the initial price that was to be spent on supplies, however, a (15%) discount was applied to this price. Subtract (15) from (100) to find the percent value that was actually spent on supplies.
[tex]100-15=85[/tex]
(85%) of the allotted money was actually spent on supplies. Now one has to find out the numerical value of the amount spent. Divide (85) by (100) and then multiply it by the amount of money allotted to the purchase, to fin the amount actually spent on the purchase.
[tex]3450*(\frac{85}{100})\\\\=3450*0.85\\\\=2932.5[/tex]
May someone help with this one problem?
Answer:
x = -1/2
Step-by-step explanation:
We are given:
[tex]\frac{1}{3}=\frac{4x}{3}+1[/tex]
Subtract 1 on both sides:
[tex]-\frac{2}{3}=\frac{4x}{3}[/tex]
Then, multiply 3 on both sides:
[tex]-2=4x[/tex]
Finally, divide 4 on both sides:
[tex]-\frac{1}{2}=x[/tex]
If you multiply the sum of 546 and 1711 by zero, what will be your result?
Answer:
0
Step-by-step explanation:
any numbers multiply by zero always equals to zero
Segment addition and midpoints
N is the midpoint of MO and NO is 5, so MN would also be 5
MP = MN + NP = 5 + 9 = 14
2. Write the equation of the line in point-slope form.
(-1,3) and (2,9)
Answer:
y - 9 = 2 (x - 2)
Step-by-step explanation:
y2 - y1 / x2 - x1 9 - 3 / 2 - (-1) 6/3 = 2
y - 9 = 2 (x - 2)
What is the length of the line?
X
1
2
3
4
P
0,2
0,3
?
0,1
Answer:
(0,4) will be point (P) at 3 because,
Step-by-step explanation:
by using newton interpolation method we can find P(0,4) at 3 .
Two ice cream stands are deciding where to set up along a 1-mile-long beach. The people are uniformly located along the beach, and each person sitting on the beach buys exactly 1 ice cream cone per day from the nearest stand. Each ice cream seller wants the maximum number of customers. True or False: The two stands will most likely be 1/3 mile away from each other. True
Answer:
Each ice cream seller wants the maximum number of customers:
True
The two ice cream stands will most likely be 1/3 mile away from each other.
True
Step-by-step explanation:
This distance enables the two ice cream stands to give access to the maximum number of customers at the beach, which will be almost equal at their right-hand and left-hand sides. Therefore, the two ice cream stands will most likely be 1/3 mile away from each other. Such positioning exposes the ice cream stands to almost equal number of customers since the people standing along the beach are uniformly located. Taking the extreme locations along the 1-mile-long beach will shrink location opportunities for both stands.
Find the length of the arc round your answer to the nearest 10th
Answer:
12.6
Step-by-step explanation:
Length of arc=(2*pi*r)*(theta/360)
Length of arc=(2*12*pi)*(1/6)=12.6
Find an equation of the circle whose diameter has endpoints , (−6,−1) and (2,3).
Answer:
first... You think and Conceptualize
A diameter divides a circle into equal halves
We're given the end points of the Diameter.
With this we can fine the Center of the circle.
The End Points are
(-6, -1) and ( 2, 3)
Half-way through the diameter gives the center of the circle
So We'd apply the Mid-Point formula to get the co-ordinate of the center.
X= x₁ + x₂/2 , Y = y₁ + y₂/2
X = -6 + 2/2, Y = -1 + 3/2
X= -2. Y = 1
The Midpoint is (-2, 1)
The Radius would be the distance between the center and a point on the circumference.
We already have 2 points of the circumference (Which are the endpoints of the diameter).
So we can pick any of them arbitrarily.
I'd go with (2,3)
So We'd apply the distance between Points formula to get the magnitude of the radius
(-2,1) (2,3)
D = √(x₁ - x₂)² + (y₁ - y₂)²
D = √(-2-2)² + (1-3)²
D=√(-4)² + (-2)²
D=√20.
Our Radius is √20.
Equation of Circle =
(x-h)² + (y-k)² = r²
Where h and k are the center of the circle(-2,1)
(x-(-2))² + ( y - 1 )²= (√20)²
(x + 2)² + ( y - 1)² = 20
Our Answer
(x + 2)² + (y - 1)² = 20.
This should be it.
Have a great day!
What is the simple interest rate if $51.67 in interest is earned on a deposit of $1377.53 in one year?
Answer:
2666.01%
Step-by-step explanation:
Intrest=(PA)*I*T
1377.53=51.67*I*1
I=26.6601=2666.01%
NEED HELP ASAP
David is shopping for new tires for his 4-wheel-drive truck. In addition to the price of the tires, there is a 10% sales tax plus a state-mandated $60 fee for disposing of his old tires. If David has determined that he will spend less than $578.10 total, then what is the price range he can spend on the tire set?
Select one:
a.
Less than $471
b.
At least 475
c.
$471 or more
d.
Less than 476
Answer:
a. Less than $471
Step-by-step explanation:
The total price must be less than $578.10.
Let the price of the 4 tires = x.
He pays 10% tax on x. That means he pays x + 10%x = 1.1x including tax.
Then he pays the $60 fee.
He pays a total of 1.1x + 60
That must be less than $578.10
1.1x + 60 < 578.10
Subtract 60 rom both sides.
1.1x < 518.1
Divide both sides by 1.1
x < 471
Answer: a. Less than $471
