Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?
Answer:
sorry 2458946547165874%
Step-by-step explanation:
What is the solution to this system of equations?
2x+y=6
- 2 x - y = 2
(1,-1)
(0,8)
infinitely many solutions
O no solution
Sonya paid $4.39 for a hero. She paid $0.95 for an orange and $1.67 for a drink. What is the total amount Sonya paid for all three items?
A bag contains: 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
Step-by-step explanation:
green = 3/20
black = 4/20 = 1/5
Answer: 35
Step-by-step explanation:
What number can you multiply ONE equation by in the following system to obtain a matching
coefficient? (Elimination)
4x+3y=8
2x+5y=12
(Worth 10 points )
Answer:
Multiply the second equation by 2
Step-by-step explanation:
Given
[tex]4x + 3y = 8[/tex]
[tex]2x + 5y =12[/tex]
Required
Get matching coefficient for elimination
[tex]4x + 3y = 8[/tex]
[tex]2x + 5y =12[/tex]
The coefficient of x in both expressions are factors.
So, we can multiply the second equation by 2 to get the coefficient of x in the first.
i.e.
[tex]2 * (2x + 5y = 12)[/tex]
[tex]4x + 10y = 24[/tex]
So, the system becomes:
[tex]4x + 3y = 8[/tex]
[tex]4x + 10y = 24[/tex]
Now, x can be eliminated
Find the volume of the solid
Answer:
245 yd3
Step-by-step explanation:
Split the solid into two pieces, multiply length, width, adn height from there.
Answer:
The answer is: 245 yds cubed
Step-by-step explanation:
So first, you would cut the solid into 2 parts. One that is a big rectangular prism and the other is the smaller one. Next, we would solve the volume of the smaller rectangular prism. The measurements for that is:
Height: 2 Length: 5 Width: 2. There is a side of that small prism that is 2x2 so we will solve that first. 2*2=4. 4*5=20. The volume of the smaller rectangular prism is 20 yd^3.
Next, we solve the volume for the 2nd rectangular prism. The measurements for that are: Height: 5 Length: 9 Width: 5.
So we would first solve for one of the sides. 5*5=25. Then we would multiply it by 9. 25*9= 225. So the volume for the bigger rectangular prism is 225 yds^3.
Lastly, we will add the volumes of the two prisms together. 225+20=245.
The final answer is: 245 yds cubed
Please help quick no Tiny links please plz plz help quick due soon I will give points no Links
Answer:
I think its B but im not sure
Step-by-step explanation:
Which is longer, 2 feet or 18 inches?
Answer: 2 feet
Step-by-step explanation:
2 feet = 24 inches
24>18
Answer:
2 ft
Step-by-step explanation:
PLEASE PLEASE HELP!! A ferris wheel with a radius of 38 feet rotates at a rate of 8 revolutions per minute. The height above the ground of the carriage labeled C below is a function of time, t, in minutes
PLEASE HELP DEW IN 1 hour
Answer: B
Step-by-step explanation:
2(—2) + 10 = 6.
2(0) + 6 = 6.
2(2) + 2 = 6.
2(4) + (—2) = 6
work out the size of angle x
Answer:
∠x = 117°
Step-by-step explanation:
supplement of ∠101° = 79°
all triangle interior angles add up to 180°
180° - 79° - 38° = 63°
the supplementary angle to 63° is 117°
6. A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution is called _______ Group of answer choices A one-tailed test A two-tailed test The null hypothesis The alternative hypothesis g
Answer:
A two-tailed test.
Step-by-step explanation:
ANOVA is a short term or an acronym for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.
In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.
Basically, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the mean of two or more populations are equal through the use of null hypothesis or a F-test.
Hence, the null hypothesis for an analysis of variance (ANOVA) requires that all treatments or samples should be generated from populations having the same mean.
A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution is called a two-tailed test.
Mr.Bhal has a circular wading pool with a radius of 3.5 feet. He bought a larger pool witha diameter of 21 feet. The measurements of each pool are shown below. How many times the circumference of the old pool is the circumference of the new pool?
Answer: i think c
Step-by-step explanation:
Suma40grados 35 con
60grados7
er
ор
q' w
a' rty u
a s d f g h j k l ñ en español
Answer:
Je ne sais pas sur quoi vous avez besoin d'aide, pourriez-vous préciser pour que je puisse vous aider ??
Step-by-step explanation:
what is (x+2)^4 using binomial theorem and pascal’s triangle?
Answer:
x 4 +8x 3 + 24 x 2 + 32 x + 16
Step-by-step explanation:
Jackie says that 200 ÷ 18 = 25. Is Jackie correct? Explain.
Answer:
Wrong
Step-by-step explanation:
200%18=11.11111111
Answer: Jackie is incorrect
Step-by-step explanation:
Because 200/18 = 11.1111111111
pls help i need answer
Answer:
109 degrees
Step-by-step explanation:
23 + 48 = 71
180 - 71 = 109 :)
Answer:
i think the answer is 109 im not sure
Step-by-step explanation:
48+23=71 180-72=109
Round 8 5/9 to the nearest whole number. 9 10 7 8
Answer:
The answer would be 9,
Step-by-step explanation:
because it is closer to 9 than 8.
How do I start this problem? I don't need help with the graphing part.
Answer:
x = 6 , y = 0 (x , y) = (6 , 0)
x = 12, y = 3 (x , y) = (12 , 3)
x = 24, y = 9 (x , y) = (24 , 9)
Step-by-step explanation:
Simply plug in a x, and find a y that would make the equation true:
When x = 6:
6 - 2y = 6
6 (-6) - 2y = 6 (-6)
-2y = 0
(-2y)/-2 = (0)/-2
y = 0
When x = 6, y = 0 (x , y) = (6 , 0)
When x = 12:
12 - 2y = 6
12 (-12) -2y = 6 (-12)
-2y = -6
(-2y)/-2 = (-6)/-2
y = 3
When x = 12, y = 3 (x , y) = (12 , 3)
When x = 24:
24 - 2y = 6
24 (-24) - 2y = 6 (-24)
-2y = -18
(-2y)/-2 = (-18)/-2
y = 9
When x = 24, y = 9 (x , y) = (24 , 9)
~
Caleb has a board that measures 10 feet in length. How many 1/3 foot-long pieces can Caleb from the board?
Suppose that in the production of 60-ohm radio resistors, nondefective items are those that have a resistance between 58 and 62 ohms and the probability of a resistor’s being defective is The resistors are sold in lots of 200, with the guarantee that all resistors are nondefective. What is the probability that a given lot will violate this guarantee? (Use the Poisson distribution.)
Answer:
The probability that a given lot will violate this guarantee is [tex]1 - e^{-200x}[/tex], in which x is the probability of a resistor being defective.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
The probability of a resistor’s being defective is x:
This means that [tex]\mu = nx[/tex], in which n is the number of resistors.
The resistors are sold in lots of 200
This means that [tex]n = 200[/tex], so [tex]\mu = 200x[/tex]
What is the probability that a given lot will violate this guarantee?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = 0) = \frac{e^{-200x}*(200x)^{0}}{(0)!} = e^{-200x}[/tex]
So
[tex]P(X \geq 1) = 1 - e^{-200x}[/tex]
The probability that a given lot will violate this guarantee is [tex]1 - e^{-200x}[/tex], in which x is the probability of a resistor being defective.
-1/3*12+14=2/3*12+2=
Answer:
10=10
Step-by-step explanation:
_1(12)+14=2(12)+2
3.
The Smith family has $1500 set aside for upgrades in their kitchen. The contractor charges
a $225 materials fee plus $75 per hour. Write and solve an inequality to find the possible
numbers of hours that they can use the contractor.
Answer:
$225 + $75x ≤ $1500
x ≤ 17
Step-by-step explanation:
The Smith family has $1500 spending limit and no more.
The initial fee is $225 in labor so we must deduct that from the current total of money left to spend.
$1500 - $225 = $1275
Then we can simply divide the amount leftover with the hours the contractor works.
$1275 ÷ $75 = 17
The inequality is $225 + $75x (x being the amount of hours the contractor works) ≤ (equal to or less than simple identifying that $1500 can be spent but no more than that.) $1500
please help pleaseeeeeee
Answer:
B
Step-by-step explanation:
it's basically 2+7
Answer:
it would be C
Step-by-step explanation:
The nutritional chart on the side of a box of a cereal states that there are 87 calories in a 3/4 cup serving. How many calories are in 8 cups of the cereal?
Answer:
Total calories in 8 cup = 928 calories
Step-by-step explanation:
Given:
Calories in 3/4 cup of cereal = 87 calories
Find:
Total calories in 8 cup
Computation:
Total calories in 8 cup = 8 x 87 x [4/3]
Total calories in 8 cup = 928 calories
125 is what percent of 200?
Answer:
125 is 62.5% of 200, hope this helps :)
A line's y-intercept is 4, and its slope is 1/2. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 1/2x + 4
Step-by-step explanation:
The slope-intercept equation is written out like so:
y = mx + b
M stands for your slope: 1/2
B stands for your y-intercept: 4
So, your equation is y = 1/2x + 4
A soda bottling plant uses automated filling machines to fill 2-liter bottles with soda. The plant can produce 8000 bottles of soda in an 8-hour shift. The plant’s quality manager wants to determine how well the process is operating. He takes a sample of 100 bottles from the bottling line and determines that on an average, each bottle contains 2.07 liters of soda, with a standard deviation of 0.06 liters. The specification limits for a bottle of soda are 2.1 liters and 1.9 liters
Answer:
0.6892 = 68.92% of bottles are within specification.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
On average, each bottle contains 2.07 liters of soda, with a standard deviation of 0.06 liters.
This means that [tex]\mu = 2.07, \sigma = 0.06[/tex]
The plant’s quality manager wants to determine how well the process is operating.
To do this, we find the proportion of bottles within specification.
The specification limits for a bottle of soda are 2.1 liters and 1.9 liters
This is the pvalue of Z when X = 2.1 subtracted by the pvalue of Z when X = 1.9. So
X = 2.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.1 - 2.07}{0.06}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915.
X = 1.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.9 - 2.07}{0.06}[/tex]
[tex]Z = -2.83[/tex]
[tex]Z = -2.83[/tex] has a pvalue of 0.0023
0.6915 - 0.0023 = 0.6892
0.6892 = 68.92% of bottles are within specification.
Find the missing dimension. Use the scale factor 1: 8.
Model height: ?
Actual height: 28 in.
Answer:
the answer is 6 :))))))))0
Step-by-step explanation:
Please help thank you!!!!!!