If you think about I would suggest B only because it makes more sense but I might be wrong..
Hope this helped a little!
The solution is Option A.
The equation of line is y = 0.25x + 1.5 , where the slope m = 0.25
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The initial length of the baby fish is b = 1.5 cm
The baby fish grew at a rate of 0.25 centimeter per week
So , the slope of the line m = 0.25 cm
And , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
y = 0.25x + 1.5 be equation (1)
Hence , the equation of line is y = 0.25x + 1.5
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Sean works for a company.
His normal rate of pay is £12 per hour.
When Sean works more than 8 hours a day, he is paid overtime for each hour he works
more than 8 hours.
Sean's rate of overtime pay per hour is 1 1/4 times his normal rate of pay per hour.
On Monday Sean worked for 10 hours.
Work out the total amount of money Sean earned on Monday.
Answer:
$126
Step-by-step explanation:
10-8=2(hours overtime)
1 1/4 × 12 = $15 per hour
2×15=$30
8×12=$96
$96+$30= $126
Which set of vertices forms a parallelogram?
A. A(2,4), B(3,3), C((6,4), D(5,6).
B. A(-1,1), B(2,2), C(5,1), D(4,1)
C. A(-5,-2), B(-3,3), C(3,5), D(1,0)
D. A(-1,2), B(1,3), C(5,3), D(1,1)
Answer:
A(-5, -2), B(-3, 3), C(3, 5), D(1, 0) is the answer.
Step-by-step explanation:
A family-run inn has 70 rooms. The inn is considering the use of overbooking, because the frequency of no-shows has left many rooms vacant during the past summer season. Based on the past experience, the number of no-shows is an approximated normal distribution with a mean of 8 and a standard deviation of 2. Assume the cost of over-estimation is $15 and the cost of under-estimation is $30. Use the assumed cost values to find the maximum number of reservations that the inn should take every day. Note that normsinv(0.3333)
Answer:
abajwuvdtrbxt really disjdshkrgegvzgfj
Forty families gathered for a fund-raising event. Suppose the individual contribution for each family is normally distributed with a mean and a standard deviation of $105 and $40, respectively. The organizers would call this event a success if the total contributions exceed $4,600. What is the probability that this fund-raising event is a success
Answer:
0.0571 = 5.71% probability that this fund-raising event is a success
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 z-score 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 p-value, 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.
The organizers would call this event a success if the total contributions exceed $4,600
Forty families, so sample mean above 4600/40 = 115.
Mean and a standard deviation of $105 and $40
This means that [tex]\mu = 105, \sigma = 40[/tex]
Sample of 40
This means that [tex]n = 40, s = \frac{40}{\sqrt{40}} = 6.3246[/tex]
What is the probability that this fund-raising event is a success?
Sample mean above 115, which is 1 subtracted by the pvalue of Z when X = 115. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{115 - 105}{6.3246}[/tex]
[tex]Z = 1.58[/tex]
[tex]Z = 1.58[/tex] has a pvalue of 0.9429
1 - 0.9429 = 0.0571
0.0571 = 5.71% probability that this fund-raising event is a success
Value of C in the triangle
Help me I need help this is due today
Find 0.198 = 0.18. Write your answer as a decimal.
help.
Factor the expression 35x+15 using the GCF.
Which expression could be use to determine the product of -4and 3/1/4
can someone help me with this question? thank you very much appreciated.
Answer:
Cannot see the other picture as you just sent one
And the tables will help you and so will this.
Step-by-step explanation:
Look at the value for question of getting an answer right and you have to do a table that looks like this attached
4 games at 2/3 chance for each = 16/27
We look at 1/3 x 1/3 = 11/ 20
we look at 2/3 x 2/3 = 0.444 = 22/50 = 11/25
The other two games are
1/3 x 2/3 = 0.22 + 0.22 = 0.44
0.44 = 11/25
+ 3/20
= 16/27
It wont be as complicated as that. But im sure this will help.
Ajar contains 5 red marbles, 3 green marbles, and 4 blue marbles. A marble is selected without looking. What is the probability that the selected marble is red?
Step-by-step explanation:
most likley
C. Mrs. Hampton used 1/3 of a gallon of milk to feed three kittens. If she fed an equal amount
of milk to each kitten, how much milk would one kitten get?
Answer: 14.22 ounces each
Step-by-step explanation:
128 ounces in a gallon divided by 3 divided by 3 again
Using traditional methods, it takes 8.6 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 26 students and observed that they had a mean of 8.4 hours with a standard deviation of 1.0. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
Answer:
t(s) is in the acceptance region. We accept H₀ we don´t have enough evidence to justify differences in the procedures
Step-by-step explanation:
Traditional procedure bring as μ = 8,6 h
Sample Information:
Sample size n = 26
Sample mean x = 8,4
Sample standard deviation s = 1
With n = 26 unknown population standard deviation, and population with normal distribution we should use t-student test
then n = 26 degree of freedom df = n - 1 df = 25
significance level 0,1 with that information we look in t-student table t (c) ( two tails test)
t(c) = - 1,708
Test Hypothesis
Null hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x ≠ μ
Alternative hypothesis indicates that the test should considered two tails
To calculate t(s)
t(s) = ( x - μ ) / s/√n
t(s) = ( 8,4 - 8,6 )/ 1/√26
t(s) = - 0,2 * 5,09 / 1
t(s) = - 1,019
Comparing |t(s)| and |t(c)|
1,019 < 1,708 |t(s)| < |t(c)|
t(s) is in the acceptance region. We accept H₀ we don´t have enough evidence to justify differences in the procedures
Question 2 of 10
Which equation matches the graph shown?
O A.y-5= -2(x – 3)?
OB. y-3= }(x+3)?
O c. y+5 = {(x – 3)?
O D. y+3=-{(x – 3)?
Answer:
a
Step-by-step explanation:
A glass has 6/8 cup of water. If Jack pours out 3/8 cup of the water, how much water will be left?
Answer:
3/8
Step-by-step explanation:
........ur welcome.........
6/8 - 3/8
Answer:
3/8
Step-by-step explanation:
6/8-3/8 =38 your welcome guys;)
A baker has 6 pounds of sugar. He divides into 3 containers. He then uses 1 container to bake pies.
Step-by-step explanation:
If the question is how much sugar contains pie, then do it like this:
6:3=2
So in one container you have 2 pounds of sugar. And if you use 1 container for a pie you will use : 2 pounds of sugar for pie.
If question is how much sugar does he have after that, it would be:
6-2=4 pounds of sugar or
3-1= 2 containers of sugar
Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000. The Visitor's Bureau of Las Vegas wants to update this percentage. The new study is to use the 90% confidence level. The estimate is to be within 1% of the population proportion. What is the necessary sample size?
Answer:
The necessary sample size is of 5683.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000.
This means that [tex]\pi = 0.3[/tex]
The estimate is to be within 1% of the population proportion. What is the necessary sample size?
A sample size of n is necessary. n is found when [tex]M = 0.01[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 1.645\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.645\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.3*0.7}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.3*0.7}}{0.01})^2[/tex]
[tex]n = 5682.6[/tex]
Rounding up:
The necessary sample size is of 5683.
(g(1) = 51
lg(n) = g(n-1) + 2
Find an explicit formula for g(n).
g(n) =
9514 1404 393
Answer:
g(n) = 2n +49
Step-by-step explanation:
The recursive formula tells you this is an arithmetic sequence with first term 51 and common difference 2. The explicit formula for such a sequence is ...
an = a1 +d(n -1) . . . . first term a1, common difference d
Using the sequence values, we have ...
g(n) = 51 +2(n -1)
g(n) = 2n +49 . . . . . simplified
In ABC, the measure of the largest angle is 16 less than 4 times the smallest angle. The measure of the middle angle is 7 more than half the measure of the largest angle. What is the measure of the middle angle?
Answer:
Step-by-step explanation:
Let A ≤ B ≤ C
largest angle is 16 less than 4 times the smallest angle
C = 4A-16
middle angle is 7 more than half the measure of the largest angle
B = C/2 + 7
A+B+C = 180°
A = 28 ⅐°
B = 55 2/7°
C = 96 4/7°
what is the straight distance between point h and j on the grid below
Answer:
Step-by-step explanation:
8
which of the following phases are inequalities?
Choose 2
Please help me!
hello trying to find Anokhi44 because the question I was talking to them got deleted soooooo and i can't find them .
2+2=
Answer:
4
Step-by-step explanation:
That sucks hope you find them.
PLEASE HELP GEOMETRY ASAP! 20 POINTS REAL ANSWERS ONLY OR WILL BE REPORTED AND DELETED WITH NO POINTS!!
I thought it was B, but it says it's wrong. Its definitely not D, so A or C?
9514 1404 393
Answer:
A) B = 37.2°, b = 309.1, c = 382.3
Step-by-step explanation:
You know the third angle must be ...
B = 180° -131.6° -11.2°
B = 37.2° . . . . . . eliminates choice D
You know the two missing sides are both longer than 99.3, eliminating choice C.
Since angle C is the largest angle, side c is the longest side, eliminating choice B.
By the process of elimination, we know the correct choice is A.
__
The Law of Sines will tell you the length of side C is related to the other triangle values by ...
c/sin(C) = a/sin(A)
c = (99.3 ft)×sin(131.6°)/sin(11.2°)
c ≈ 382.3 ft . . . . matches choice A
Paisley is going to invest $28,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Paisley to end up with $74,000?
Answer:
r=7
Step-by-step explanation:
74000=28000(1+r/12)^12(14)
divide 74000 by 28000, and cancel out 28000.
1.00580=1+r/12
(100) .06962=r
r = 6.96198
the 6 after the 9 rounds 9 to 0, which rounds the 6 to 7
r=7
What is the x-coordinate of the point on the line x = 3y - 1 with a y-coordinate of 4
Answer:
11
Step-by-step explanation:
when y = 4
x = 3(4) -1
x= 12-1 = 11
The figure formed by two rays from the same endpoint is an
Answer:
common endpoint
Step-by-step explanation:
Simplify 2x - x + 4x
Enter the explicit rule for the geometric sequence.
9,6,4,8/3,…
Answer:
[tex]9 (\frac{2}{3})^{n-1}[/tex]
Hope this helps!
In order to make an A on her project, Sarah needs at least 160 points. She has already turned in part of her work and has been given 125 points so far. write and solve the inequality that models this situation and found out how many points Sarah needs for the last part of her project to get an A
perform the operation and simplify 3x^2/x^2-x-30-3x+5/x-6