Answer:
$5,155.7
Step-by-step explanation:
Using the compound interest formula;
Amount = 7600
Time = 7years
Rate = 5.7% = 0.057
Required
Principal
Substitute
A = P(1+r)^n
7600 = P(1+0.057)^7
7600 = P(1.057)^7
7600 = 1.4741P
P = 7600/1.4741
P = 5,155.69
Hence Lilian would need to invest $5,155.7 (to nearest ten dollars)
On Saturday, 960 people visit the zoo. Of the visitors, 40% are children. How many of the visitors on Saturday were children?
There is a spinner with 10 equal areas, numbered 1 through 10. If the spinner is spun
one time, what is the probability that the result is a multiple of 5 or a multiple of 2?
Answer:
3/5
Step-by-step explanation:
In the numbers 1 thru 10, there are 5 multiples of 2 (2, 4, 6, 8, 10) and 2 multiples of 5 (5, 10). Since you cannot count 10 twice, there are 6 possibilities (2, 4, 5, 6, 8, 10)
So the probability of spinning a multiple of 2 or 5 is 6/10 = 3/5
Answer:2/10 probabilty for the multiple of 5 and a 5/10 or 50% chance that it will be a multiple of 2
Step-by-step explanation: 10 areas, there are 2 multiples of 5,( 5 and 10 )and there is a 2/10 chance of landing on landing 5 or 10 because there are 2 multiples of 5. There are also 5 multiples of 2, (2, 4, 6, 8, 10) 5/10 chance because there are 5 multiples out of 2
Consider the equation:
4x + 3y - 23 = 42
4x+
The variables are:
The coefficients are:
The constants are:
Answer:
x=(-∞,∞)
y=65/3
Step-by-step explanation:
1. Toni bought 5 t-shirt for $54 . They each cost the same . Also please tell me how to right it
Answer:
5 T-shirts = $54
10 T-shirts = $108
20 T-shirts = $216
Which point represents the product of point H and point J?
Answer:
B) I
Step-by-step explanation:
H = -1
J = 1
-1 + 1 = 0
so I
Hope this helped! Have a nice day, and plz mark as brainliest if correct!!!
-Lil G
Which statement is NOT true about the absolute value of -6? (1. It equals the absolute value of 6.) (2.It describes the distance between -6 and 0 on the number line.) (3.It describes the distance between 6 and -6 on the number line.) (4. It can be expressed as [-6].)
Answer:
probably It explains the distance between 6 and -6 on the number line.
Step-by-step explanation:
what's the rule for number pattern
830 823 817 812 808
to subtract 7
then
To subtract 6
then
To subtract 5
then
To subtract 4
Evertime you subtract go down 1 number.
The circle below is centered at the point (1, 2) and has a radius of length 3.
What is its equation?
Answer:
[tex](x - 1) {}^{2} + (y - 2) {}^{2} = 9[/tex]
Step-by-step explanation:
The general circle equation is
[tex](x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]
where r is the radius.
Since we know all the information just plug it in the equation above.
[tex](x - 1) { }^{2} + (y - 2) {}^{2} = {3}^{2} [/tex]
Simplify 3 squared.
[tex](x - 1) {}^{2} + (y - 2) {}^{2} = 9[/tex]
In a study of the health effects of cigarettes, a random sample of 32 filtered cigarettes
was obtained and the tar content was measured. The sample has a mean of 19.2 mg.
Given that the tar content of cigarettes have a mean of 20.1 mg and a standard
deviation of 3.15 mg, what is the probability that 32 filtered cigarettes have a mean of
19.2 mg or less?
Round answer to 4 decimal places.
Answer:
0.0526 = 5.26% probability that 32 filtered cigarettes have a mean of 19.2 mg or less.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
Given that the tar content of cigarettes have a mean of 20.1 mg and a standard deviation of 3.15 mg
This means that [tex]\mu = 20.1, \sigma = 3.15[/tex]
Sample of 32 filtered cigarettes
This means that [tex]n = 32, s = \frac{3.15}{\sqrt{32}} = 0.5568[/tex]
What is the probability that 32 filtered cigarettes have a mean of 19.2 mg or less?
This is the pvalue of Z when X = 19.2. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{19.2 - 20.1}{0.5568}[/tex]
[tex]Z = -1.62[/tex]
[tex]Z = -1.62[/tex] has a pvalue of 0.0526
0.0526 = 5.26% probability that 32 filtered cigarettes have a mean of 19.2 mg or less.
Can someone pls tell me the answer
Answer:
Part a is c and part b is d
Step-by-step explanation:
becauelss 3/8 wouldn't make 4 1/8. 3 would make 4 1/8
The line plot below shows the amount of water, in liters, in 4 equal-sized containers
How many liters of water will each container have if the total amount is distributed equally among the 4 containers?
PLS HELP
Answer: multiply and estimate
Step-by-step explanation:
Answer:
the answer is : a
Step-by-step explanation:
Answer please eeeeeeee
Answer:
if that's a division sign then your answer is m=36
if that's multiplication then your answer is m=4
Step-by-step explanation:
Shawna worked out for a total of 20 hours last month. The circle graph shows how Shawna
divided her time during her workouts last month.
Shawna's Workout Time
Rowing
machine
Weights
30%
Exercise bike
10%
Treadmill
40%
Based on the circle graph, for how many hours did Shawna use the rowing machin
Answer:
she spent 4 hours rowing
Step-by-step explanation:
the missing percent is 20, so she spent 20% of 20 hours rowing
this comes out to 4 hours
Find the total surface area of the number
cube.
2 in.
2 in.
2 in.
Answer: 24 Inches
Step-by-step explanation:
2 hundredth _ thousandth
Answer:
please give more information!
Step-by-step explanation:
For the following find the values of X either by factoring or using the quadratic formula.
please explain step by step help ASAP
[tex] { - 3x}^{2} + 1 = 5x[/tex]
[tex] {10x}^{2} + 5x - 3 = - 6 + {7x}^{2} - 5x[/tex]
[tex] {4x}^{2} - 11 = - 2 { - 4x}^{2} + 9x[/tex]
Factor 9x2 – 4.
options:
A)
(3x + 2)(3x + 2)
B)
(3x – 2)(3x + 2)
C)
(3x – 2)(x + 2)
D)
(3x – 1)(3x + 4)
Answer:
B
Step-by-step explanation: Differences between squares.
9x^2-4
(3^2) (x^2) -(2^2)
(3x-2)(3x+2)
What is the area of the segment?
Answer:
The Area of a Segment is the area of a sector minus the triangular piece (shown in light blue here). There is a lengthy reason, but the result is a slight modification of the Sector formula: Area of Segment = θ − sin(θ) 2 × r2 (when θ is in radians) Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees)
What factors cause acid rain in Canada?
Answer: The primary cause of low pH in precipitation over northeastern North America is sulphuric acid (H2SO4) from industrial and urban emissions of sulphur dioxide (SO2). Nitric acid (HNO3) generated from emissions of nitrogen oxides (NOx) is a significant contributing factor in this region.
Step-by-step explanation:
12. Un artículo vale 80 dólares después de aplicarle el IVA del 20% ¿Cuánto valdría sin IVA
Answer:
Precio sin IVA= $66,67
Step-by-step explanation:
Dada la siguiente información:
Costo total= $80 dólares
IVA= 20%
Para calcular el precio de articula sin IVA, tenemos que usar lasiguiente formula:
Precio sin IVA= Precio total / (1 + IVA)
Precio sin IVA= 80 / (1 + 0.2)
Precio sin IVA= 80 / 1,2
Precio sin IVA= $66,67
Whats your favorite dog breed...?
Answer:
husky mix of germany shepherd
3. What is the radius of a circle whose area is 64π cm squared?
Answer:
Area = 64π
Area \: = \pi {r}^{2}Area=πr
2
64 \: \pi \: = \pi {r}^{2}64π=πr
2
{r}^{2} = \dfrac{64\pi}{\pi}r
2
=
π
64π
{r}^{2} = 64r
2
=64
r \: = \: \sqrt{64} = 8r=
64
=8
Radius = 8 units
Finding the Diameter -
Diameter = Radius x 2 = 8 x 2 = 16 .
\bold{Diameter \: is \: 16 \: units}Diameteris16units
what is 9983988038208302-square root of 10 billion squared?
Need help quick, i will call you brainliest :D
Palindrome numbers are numbers that read the same foward or backward. Here are some palindrome numbers: 11, 121, 75257, and 1234321. The smallest three digit palindrome is 101. How many palindrome numbers are there between 10 to 1000?
Answer:
99.
Step-by-step explanation:
A palindrome number is one that can be read in the same way both from the front and from the back. A clear example is the number 242, which starts and ends in the same way from the front or back.
Between 10 and 100, there are 9 palindromes, from 11 to 99. In turn, between 100 and 200, 200 and 300 and so on, each hundred has within it 10 palindromes (101, 111, 121, 131, 141 , 151, 161, 171, 181 and 191, for example).
Therefore, considering the 9 hundreds between 100 and 1000, there will be 90 palindromes, which added to the 9 between 10 and 100 give a total of 99 palindromes.
4/5,9/10,17/20 least to greatest
Answer: 4/5 17/20 9/10
Step-by-step explanation:
Find a common denominator
4/5-16/20
17/20-17/20
9/10-18/20
I don't get it i need help
Answer:
x = 33.5 °
Step-by-step explanation:
The two angle add to a straight 180 degree angle
so
4x+5 + 41 = 180
4x = 134
x = 33.5 °
Amar thinks of a number If he takes away 6 from ⅔ ? of number, the result is
22. Find the number.
Let's assume the number as x
According to the question,
2/3x-6=22
2x-6=22×3
2x= 66-6
2x=60
x=60/2=30
Therefore, as x=30, The number is 30 itself.
Travelers who fail to cancel their hotel reservations when they have no intention of showing up are commonly referred to as no-shows. In anticipation of no-shows and late cancellations, most hotels overbook(i.e., accept reservations for more rooms than the number of rooms in their inventory). The Journal of Travel Research(Spring 1985) reported that six major hotels in the Seattle area had a no-show rate of10%. Let X equal the number of no-shows among the four travelers who have made hotel reservations in this study.
a) What is the probability that at least two of the four selected will turn to be no-shows?
b) What is the most likely value for X?
Answer:
a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.
b) 0 is the most likely value for X.
Step-by-step explanation:
For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
No-show rate of 10%.
This means that [tex]p = 0.1[/tex]
Four travelers who have made hotel reservations in this study.
This means that [tex]n = 4[/tex]
a) What is the probability that at least two of the four selected will turn to be no-shows?
This is [tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486[/tex]
[tex]P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036[/tex]
[tex]P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.0486 + 0.0036 + 0.0001 = 0.0523[/tex]
0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.
b) What is the most likely value for X?
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.1)^{0}.(0.9)^{4} = 0.6561[/tex]
[tex]P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916[/tex]
[tex]P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486[/tex]
[tex]P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036[/tex]
[tex]P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001[/tex]
X = 0 has the highest probability, which means that 0 is the most likely value for X.
7x + 3y = 8
6x – 3y = 5
For the solution (x,y) to the system of equations
above, what is the value of x - y ?
Answer:
2/3
I have made in above picture
hope it helps
For the solution [tex](3,\frac{1}{3})[/tex] of the given system of equations, the value of x - y is [tex]2\frac{2}{3}[/tex]
To determine the value of x - y, we will solve the two equations simultaneously
We have
7x + 3y = 8 ------ (1)
6x – 3y = 5 ----- (2)
Solving by the elimination method
Add equations (1) and (2) together
We get
[tex]7x + 6x +3y -3y = 8 + 5[/tex]
Then,
[tex]13x = 13[/tex]
Now, divide both sides by 13
[tex]\frac{13x}{13} = \frac{13}{13}[/tex]
∴ [tex]x = 1[/tex]
Now, substitute the value of x into equation (1)
[tex]7x + 3y = 8[/tex]
We get
[tex]7(1) + 3y = 8[/tex]
[tex]7 + 3y = 8[/tex]
[tex]3y = 8-7[/tex]
Then,
[tex]3y = 1[/tex]
Divide both sides by 3
[tex]\frac{3y}{3} =\frac{1}{3}[/tex]
∴ [tex]y = \frac{1}{3}[/tex]
The solution to the system of equations is [tex](3,\frac{1}{3})[/tex]
Now, for the value of x - y, we will input the values of x and y
That is,
[tex]x -y = 3 -\frac{1}{3}[/tex]
[tex]= 2\frac{2}{3}[/tex]
∴ [tex]x-y =2\frac{2}{3}[/tex]
Hence, the value of x - y is [tex]2\frac{2}{3}[/tex]
Learn more here: https://brainly.com/question/12787642
CAN SOMEONE GENUINELY HELP ME PLEASE???