Answer:
False
Step-by-step explanation:
2 + 3x = 5
Put x as 1.1.
2 + 3(1.1) = 5
2 + 3.3 = 5
5.3 = 5
False.
Answer:
FalseSolution,
X=1.1
[tex]2 + 3x = 5 \\ 2 + 3 \times 1.1 = 5 \\ 2 + 3.3 = 5 \\ 5.3 = 5 \: \: \\ hence \: it \: is \: false[/tex]
Help me with this problem, thank you<3
Answer:
1,050 workers
Step-by-step explanation:
25% = 0.25
0.25 × 1400 = 350
1400 - 350 = 1050
Hope this helps.
For a large sporting event the broadcasters sold 51 ad slots for a total revenue of $136 million. What was the mean price per ad slot?
Answer:
$2.67 million
Step-by-step explanation:
Average price per slot is found by dividing total price by total slots:
($136 million)/(51 slots) ≈ $2.67 million/slot
The mean price per ad slot was $2.67 million.
A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen, resulting in the accompanying data (from "Engineering Properties of Soil," Soil Science, 1998: 93–102).1.10 5.09 0.97 1.59 4.60 0.32 0.55 1.450.14 4.47 1.20 3.50 5.02 4.67 5.22 2.693.98 3.17 3.03 2.21 0.69 4.47 3.31 1.170.76 1.17 1.57 2.62 1.66 2.05The values of the sample mean, sample standard deviation,and (estimated) standard error of the mean are2.481, 1.616, and .295, respectively. Does this data suggestthat the true average percentage of organic matterin such soil is something other than 3%? Carry out atest of the appropriate hypotheses at significance level.10. Would your conclusion be different if a 5 .05 hadbeen used? [Note: A normal probability plot of the datashows an acceptable pattern in light of the reasonablylarge sample size.]
Answer:
We conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.
We conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.
Step-by-step explanation:
We are given a random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen;
1.10, 5.09, 0.97, 1.59, 4.60, 0.32, 0.55, 1.45, 0.14, 4.47, 1.20, 3.50, 5.02, 4.67, 5.22, 2.69, 3.98, 3.17, 3.03, 2.21, 0.69, 4.47, 3.31, 1.17, 0.76, 1.17, 1.57, 2.62, 1.66, 2.05.
Let [tex]\mu[/tex] = true average percentage of organic matter
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 3% {means that the true average percentage of organic matter in such soil is 3%}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu \neq[/tex] 3% {means that the true average percentage of organic matter in such soil is something other than 3%}
The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean percentage of organic matter = 2.481%
s = sample standard deviation = 1.616%
n = sample of soil specimens = 30
So, the test statistics = [tex]\frac{2.481-3}{\frac{1.616}{\sqrt{30} } }[/tex] ~ [tex]t_2_9[/tex]
= -1.76
The value of t-test statistics is -1.76.
(a) Now, at 10% level of significance the t table gives a critical value of -1.699 and 1.699 at 29 degrees of freedom for the two-tailed test.
Since the value of our test statistics doesn't lie within the range of critical values of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.
(b) Now, at 5% level of significance the t table gives a critical value of -2.045 and 2.045 at 29 degrees of freedom for the two-tailed test.
Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.
I travelled at 60km/h and took 2 hours for a certain journey. How long would it have taken me if I had travelled at 50km/h?
Answer:
2 hours and 24 minutes
Step-by-step explanation:
2 hours at 60 km/h means you have travelled 2*60=120 km
120 km at 50 km/h takes 120/50 = 2.4 hours
2.4 hours is 2 hours and 0.4*60 = 24 minutes.
Explain the importance of factoring.
Answer:
Factoring is a useful skill in real life. Common applications include: dividing something into equal pieces, exchanging money, comparing prices, understanding time, and making calculations during travel.
Sorry if this is a little wordy, I can get carried away with this sort of thing
anyway, hope this helped and answered your question :)
19.25 tons equal Lbs
Answer:
38500lbs
Step-by-step explanation:
2000 lbs is one tone
if we have 19.25 tons, we need to multiply 19.25x2000
The answer is 38500 lb
Answer:
38,500 pounds
Step-by-step explanation:
Every ton is 2,000 pounds.
We want to find out how many pounds are in 19.25 tons.
Set up a proportion.
pounds/tons=pounds/tons
2,000 pounds/ 1 ton= x pounds / 19.25 tons
2,000/1= x /19.25
x is being divided by 19.25. The inverse of division is multiplication. Multiply both sides by 19.25.
19.25*2,000/1= x/19.25 *19.25
19.25*2000=x
38,500=x
There are 38,500 pounds in 19.25 tons.
Three girls of a group of eight are to be chosen. In how many ways can this be done?
Answer:
Step-by-step explanation:
8P3=8*7*6=336
7 + x - 15 = -2.67 solve for x
Answer:
5.33
Step-by-step explanation:
Move your numbers so that they're separate from the variables. You should now have x = -2.67 + 8; x = 5.33
Answer:
x=5.33
Step-by-step explanation:
7+x-15=-2.67
7-15+x=-2.67
Add 7 and -15
-8+x=-2.67
Add 8 on both sides
which equal to 5.33
x=5.33
The population of the city of Peachwood is currently 12,000 and increases every year at a rate of 5%. The function that describes the model is ƒ(x) = 12000 • 1.05x. Which of the following choices would be the number of people in the city after one year?
Answer: 12600
Step-by-step explanation:
We are given the function that f(x) = 12000 * 1.05x
the x in f(x) is the amount of years that passed in the city of Peachwood, and the f(x) is the total population of Peachwood
These are two key elements in this function,
Therefore after 1 year the equation would be f(1) = 12000*1.05(1)
or f(1) = 12600
Which is the graph of the equation v- 1 = (-3)?
Step-by-step explanation:
The equation is v-1 = -3
V-1 = -3 add one in both sides v -1 +1 = -3+1 v = -2Here is the graph :
Write 0000 using the am/pm clock.
Answer:
12am
Step-by-step explanation:
Answer:
12:00 am or midnight
Step-by-step explanation:
00 00 hrs in 12-hours clock is 12:00 am or 12:00 o'clock midnight.
Suggest changing to “On the graph of an exponential function representing growth, what happens to the slope of the graph as x increases?”
Answer:
If we have a growing exponential relation, we can write it as:
f(x) = A*r^x
Where A is the initial amount, r is the rate of growth, in this case, r > 1 (because is a growing exponential relation)
Now, the "slope" of the graph in x, is equal to the derivate of f(x) in that point, and we have:
f'(x) = A*(r^x)*ln(r)
Now, remember that r > 1, then ln(r) > 0.
then, f'(x) is a growing function as x grows, and f'(x) grows exponentially, this means that the slope of the graph also grows exponentially as x grows.
Which is NOT supported by this graph?
30
25
20
15
10
Profit
5
(dollars)
0
-10
-15
Cars Washed
Answer:
D -price of car wash keeps getting higher
Answer: The price of a car wash keeps getting higher
Step-by-step explanation:
Line segment ON is perpendicular to line segment ML. What is the length of segment NP?
Answer:
2 units.
Step-by-step explanation:
In this question we use the Pythagorean theorem which is shown below:
Given that
The right triangle OMP
The hypotenuse i.e OM is the circle radius =5 units.
The segment MP = 4 units length
Therefore
[tex]OP^2 + MP^2 = OM^2[/tex]
[tex]OP^2 + 4^2 = 5^2[/tex]
[tex]OP^2 + 16 = 25[/tex]
So OP is 3
Now as we can see that ON is also circle radius so it would be 5 units
And,
ON = OP + PN
So,
PN is
= ON - OP
= 5 units - 3 units
= 2 units
Answer:
2
Step-by-step explanation:
Which is the first step in simplifying 4(3x-2)+6x(2-1)
Answer:
4(3x-2)+6x(2x-1)
12x-8+12^2x-6x
12x-6x +12^2x-8
6x+12^2x-8
Answer:
the first step in simplifying 4(3x-2)+6x(2-1) is to do subtract 1 from 2 in the second set of parenthesis. That will get you 4(3x-2)+6x(1)
The equation completely simplified is 18x-8
-look in the step-by-step explanation if you want to know all the steps to simplifyinh the equation
Step-by-step explanation:
Now if you want to know the rest here it is:
Then use the Distributive Property:
-distribute the 4 into (3x-2) to get 12x-8
-then distribut the 6x into (1) to get 6x
Your equation is now 12x-8+6x
Finally, add 12x and 6x to simplify the equation as much as you can
you get 18x-8 as you final, most simplified answer
b. Parallelogram PQRS has base RS=14 m and an area of 70 m². What is the height of
the parallelogram?
Rs=14m and an area of 70m2
Answer
h = 5m
Step-by-step explanation:
area of a parallelogram is b * h
base = 14 m
h = ?
Area = 70 m²
Area = b * h
70 = 14 * h
h = 70 / 14
h = 5 m
By about how much will f (x comma y comma z )equalsln StartRoot x squared plus y squared plus z squared EndRoot change if the point Upper P (x comma y comma z )moves from Upper P 0 (6 comma 4 comma 12 )a distance of dsequals0.1 unit in the direction of 3 Bold i plus 6 Bold j minus 2 Bold k?
Answer:
pls format
Step-by-step explanation:
What is 6 1/2 subtracted by 2 2/3
Answer:
The answer to this equation is 3 5/6
Step-by-step explanation:
in order to solve this problem, we must first turn these fractions into improper fractions. We can do this by multiplying the base number with the denominator and adding the numerator to that number.
6 1/2 = 13/2
2 2/3 = 8/3
Now, set up your equation.
13/2 - 8/3
Change the denominators to the same number so it will be easier to subtract.
39/6 - 16/6
Now subtract.
23/6 = 3 5/6
Answer:
3 5/6
Step-by-step explanation:
6 1/2 - 2 2/3 = 13/2 - 8/3
(39 - 16)/6 = 23/6 = 3 5/6
Macy is trying to construct an isosceles triangle. She assigns an angle measurement of 40° to the unique angle of the triangle. She wants the length of the opposite side (the base) to be 6 centimeters. How many isosceles triangles can Macy construct using this information?
Answer:
https://brainly.com/question/8847227
Step-by-step explanation:
Jenna worked 13 hours more than Jose last month. If Jenna worked 9 hours for every 4 hours that Jose worked, how many hours did they each work?
Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered four times as many cheese pizzas as vegetable pizzas, for a total of 152 slices. How many pizzas did Manuel order? 15 20 30 40
Answer:
20 Pizza
Step-by-step explanation:
Let the number of vegetable pizza be x
Given that
Manuel ordered four times as many cheese pizzas as vegetable pizzas
the number of cheese pizza = 4x
1. no of slice in 1 vegetable pizza pie = 6
no of slice in x vegetable pizza pie = 6x
2. no of slice in 1 cheese pizza pie = 8
no of slice in 4x cheese pizza pie = 8*4x = 32x
Total no of slice for x vegetable pizza and 4x cheese pizza = 6x+32x = 38x
Given that
total no. of 152 slices, therefore
38x = 152
=> x = 152/38 = 4
Thus, no. of vegetable pizza ordered = 4
no. of cheese pizza ordered = 4x = 4*$ = 16
Total no of pizza ordered = 16+4 = 20 (answer)
Answer:
B
Step-by-step explanation:
Please answer question now in two minutes
Answer:
V lies in the exterior of <STU.
Step-by-step explanation:
V lies in the exterior of <STU.
the principal p is borrowed at a simple interest rate r for a period of time t. find the simple interest owed for the use of the money
Answer:
The simple interest is Prt
The simple interest on the money will be $24300
Step-by-step explanation:
The complete question is shown below
The principal P is borrowed at simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P=$18,000, r=7.5%, t=18 months
Principal = P
Interest rate = r
Time period = t
simple interest owed for the use of the money will be gotten as below
The percentage of the principal that will be owed per unit period is the rate r
The total rate that it will be involved in this time period will be the product of the rate and the time = r x t = rt
Finally, to know the amount of interest that this rate will result to, we multiply the total rate in the time period by the original principal borrowed
Total interest = Prt
For a simple interest on the principal P = $18,000,
the interest rate = 7.5% = 7.5/100 = 0.075,
time period = 18 months
we assume the interested is calculated on a monthly basis
Simple interest = Prt
==> 18000 x 0.075 x 18 = $24300
Find the area of the figure. Round to the nearest tenth if necessary. Use 3.14 for pi . 47.3 units2 41.1 units2 57.1 units2 66.2 units2
Answer:
41.1 units
Step-by-step explanation:
find the area of the triangle
1/2BH
1/2*8*4
4*4=16
find the area half of the circle
pi*R^2
3.14*4^2
3.14*16
50.24/2
^because it is a half circle you divide by 2
25.12+16=41.1
Need some help on this whole unit to be honest but any help with this one ?
answer:
i believe they all are identical
Step-by-step explanation:
i used a website called desmos graphing calculator and typed each one out and this is what it looked like
It is believed that 11% of all Americans are left-handed. In a random sample of 100 students from a particular college with 10123 students, 14 were left-handed. Find a 98% confidence interval for the percentage of all students at this particular college who are left-handed.
Answer:
Step-by-step explanation:
We can calculate this confidence interval using the population proportion calculation. To do this we must find p' and q'
Where p' = 14/100= 0.14 (no of left handed sample promotion)
q' = 1-p' = 1-0.14= 0.86
Since the requested confidence level is CL = 0.98, then α = 1 – CL = 1 – 0.98 = 0.02/2= 0.01, z (0.01) = 2.326
Using p' - z alpha √(p'q'/n) for the lower interval - 0.14-2.326√(0.14*0.86/100)
= -2.186√0.00325
= -2.186*0.057
= 12.46%
Using p' + z alpha √(p'q'/n)
0.14+2.326√(0.14*0.86/100)
= 0.466*0.057
= 26.5%
Thus we estimate with 98% confidence that between 12% and 27% of all Americans are left handed.
3) BRAINLIEST & 10+ POINTS!!! If a 4 foot blade of a propeller completes 22 revolutions per second, find the angular speed of the blade in radians per second. ~Round your answer to the nearest hundredth. Angular speed = _______________ radians/second
Answer:
44π rads per seconds
Step-by-step explanation:
Already the speed of the 4 foot blade is given as 22 revolutions per sec.
What we have to do is just to convert the 22 revolutions per second to radians.
1 rev = 360°
360° = 2π
So the speed is actually equal to
22 *360 = 7920° per second
Or
22*2π = 44π rad per seconds
What ever way the answers are both same.
what is the solution of
[tex] \sqrt{ {x}^{2} + 49 = x + 5[/tex]
Answer:
x = 2.4
Step-by-step explanation:
We assume you intend ...
[tex]\sqrt{x^2+49}=x+5\\\\x^2+49=x^2+10x+25\qquad\text{square both sides}\\\\24=10x\qquad\text{subtract $x^2+25$}\\\\\boxed{2.4=x}\qquad\text{divide by 10}[/tex]
Suppose you toss a coin 100 times and get 65 heads and 35 tails. Based on these results, what is the probability that the next flip results in a tail?
Answer:
[tex] P(Head) = \frac{65}{100}=0.65[/tex]
[tex] P(Tail) = \frac{35}{100}=0.35[/tex]
And for this case the probability that in the next flip we will get a tail would be:
[tex] P(Tail) = \frac{35}{100}=0.35[/tex]
Step-by-step explanation:
For this case we know that a coin is toss 100 times and we got 65 heads and 35 tails.
We can calculate the empirical probabilities for each outcome and we got:
[tex] P(Head) = \frac{65}{100}=0.65[/tex]
[tex] P(Tail) = \frac{35}{100}=0.35[/tex]
And for this case the probability that in the next flip we will get a tail would be:
[tex] P(Tail) = \frac{35}{100}=0.35[/tex]
Which could be the side lengths of a triangle? (A) 2,2,4 (B) 3,4,7 (C) 4,5,8 (D) 5,5,10 (E) 7,3,10 PLEASE HELP
Answer:
(C) 4,5,8
Step-by-step explanation:
Since 4+5 = 9 and 9 is bigger than 8, that means that the side 8 can fit into the triangle without there being an open space.
Answer:
Option C { 4,5,8 }
Step-by-step explanation:
By the Triangle Inequality Theorem, the length of two sides together must be greater than the length of the remaining side. Respectively their difference must be less than the length of the another side.
* I like to memorize this concept by thinking about a door. The more you open the door, the greater the distance between the door and the wall - as they are proportional. That is how we concluded this theorem.
______
{ 2, 2, 4 } is our first option. The difference of 4 and 2 is equal to the remaining length, 2. { 3, 4, 7 } is not applicable as well, considering that the addition of 3 and 4 is equivalent to the length of the 3rd side, 7. However, the lengths { 4, 5,8 } have no such " errors. " It could be the side lengths of a possible triangle.
______
Solution = { 4,5,8 }