Answer:
400 - 2 (24 months) = $352
Step-by-step explanation:
The balance in Maas account after two years will be $352.
Mass has a bank account with less than $ 400 in it. He pays charges of $ 2 per month if account has less balance than $500.
We have to find out that if he doesn't deposit or withdraws any amount , what will be balance of his account after 2 years ?
What will be the value if 2 times of 400 is added to 2 times of 400 ?
The value will be 1600.
We know that no. of months in 1 year = 12 months
No. of months in 2 years = 24 months
As , bank charges $2 per month if the balance is less than $500.
⇒ for 24 months the charges will be ;
= 24 × 2 = $48
The balance in Maas account after 2 years will be
$ 400 - $ 48 = $ 352.
Thus, the balance in Maas account after two years will be $352.
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A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. the manager of the Publix in Clemson believes 64% is too low for his own store, to investigate whether this result applies to its own store, SC asked a random sample of 100 shoppers whether they believed that supermarket brands were as good as the national brands, 52 believe the supermarket brands were as good as the national brands.
Required:
At the 10% significance level test the managers claim.
Answer:
The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance
The alternative hypothesis is accepted at a 0.05 level of significance
The manager of Publix in Clemson believes 64% is too high for his own store
Step-by-step explanation:
Step:-1
Given that the consumer Reports showed that 64% of supermarket shoppers.
Given that the population proportion
P = 0.64
Given that random sample size 'n' = 100
Given that 52 believe the supermarket brands were as good as the national brands.
sample proportion
[tex]p^{-} = \frac{x}{n} = \frac{52}{100} = 0.52[/tex]
Step:-2
Null hypothesis: The manager of the Publix in Clemson believes 64% is too low for his own store
μ < 0.64
Alternative Hypothesis:H₁:μ > 0.64
Test statistic
[tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]
[tex]Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }[/tex]
Z = -2.5
Level of significance = 0.05
Z₀.₀₅ = 2.326
The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance
Final answer:-
The null hypothesis is rejected at a 0.05 level of significance
The alternative hypothesis is accepted at a 0.05 level of significance
Complete the assignment on a separate sheet of paper
Please attach pictures of your work.
Answer:
Value of x = 15.1 unit (Approx.)
Step-by-step explanation:
Given:
For angle 54°
Base of triangle = 11 unit
Perpendicular of triangle = x unit
Find:
Value of x
Computation:
Using trigonometry function;
Tanθ = Perpendicular / Base
Tan 54 = Perpendicular of triangle / Base of triangle
Tan 54 = x / 11
1.376 = x / 11
Value of x = 1.376 × 11
Value of x = 15.136
Value of x = 15.1 unit (Approx.)
If z = -1.3, mu=80, sigma=30 What is the actual data value? Round to 2 decimal places.
Step-by-step explanation: This simple confidence interval calculator uses a Z statistic and sample mean (M) to generate an interval estimate of a population mean (μ).
Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). If your data does not meet these requirements, consider using the t statistic to generate a confidence interval.
where:
M = sample mean
Z = Z statistic determined by confidence level
sM = standard error = √(s2/n)
As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation (or population's standard deviation if your sample size is smaller than 30). (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)
82.6% into lowest form
Answer:
0.825
Step-by-step explanation:
To convert to lowest form, you have to shift the decimal place 2 places to the left.
Compute the permutation.
5 P 4
5
20
120
Answer:
Step-by-step explanation:
5P4=5×4×3×2=120
11 There are 20 marbles in a bag. 0/1 . 4 marbles are green. • 7 marbles are red. 5 marbles are white. • 4 marbles are purple. Based on this information, what is the probability a marble choosen will be green or purple? Show Your Work y Green y Purple u 8 8 20 5 4 니 + 20 marbles You have responded to 11 of 11 questions 1 response does not have any content.
Answer:
1 There are 20 marbles in a bag. 0/1 . 4 marbles are green. • 7 marbles are red. 5 marbles are white. • 4 marbles are purple. Based on this information, what is the probability a marble choosen will be green or purple? Show Your Work y Green y Purple u 8 8 20 5 4 니 + 20 marbles You have responded to 11 of 11 questions 1 response does not have any content.
Step-by-step explanation:
i will give Brainiest if you are right
Answer:
The answer is $22.75! (A)
Step-by-step explanation:
All you have to do is subtract $36.50 by $13.75 and get the amount of the 2nd piggy bank.
22.75 + 13.75 = 36.50
what is the are of of the triangle which has 17in Hight and 26in long
Answer:
base times height divide by two
26 times 17=442/2=221
the answer is 221
Step-by-step explanation:
A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table below shows the data:
Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31
Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)
Part B: Write a function which best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)
Find the radius of a circle, when the diameter is 29 cm
Answer:
14.5cm
Step-by-step explanation:
radius is half of diameter
29 / 2 = 14.5
Solve for x.
23
13
[21
Answer:
x = 24
Step-by-step explanation:
The angles are supplementary therefor
(5x + 13) + (x + 23) = 180
Combine like terms
6x + 36 = 180
Subtract 36 from both sides
6x = 144
Divde both sides by 6
x = 24
Answer:
5x+13+x+23=180°[exterior corresponding angle is supplementary.
6x=180-36
x=144/6
x=24
anyone wanna to study math subject?? as a free coaching??
Step-by-step explanation:
Math is hard.....
and I don't like it anymore
Question
If Johnathon has work 16 hours a day from 8am to 12pm, and he has to drive from point a to b, which the distance is 3600 miles. His car can drive for 700 miles on a full tank of gas, which 1 gallon is 28 miles. What is the amount of stops and gallons of gas to get to point a and b?
Step-by-step explanation:
Question #6
Show steps
Correct answer is A
We'll first need to determine what the composite function f(g(x)) is equal to.
Start with the outer function f(x). Then replace every copy of x with g(x). Afterward, plug in g(x) = 3x-2
So we get the following:
[tex]f(x) = \sqrt{x^2-4}\\\\f(g(x)) = \sqrt{(g(x))^2-4}\\\\f(g(x)) = \sqrt{(3x-2)^2-4}\\\\f(g(x)) = \sqrt{9x^2-12x+4-4}\\\\f(g(x)) = \sqrt{9x^2-12x}\\\\[/tex]
Next, we apply the derivative
[tex]f(g(x)) = \sqrt{9x^2-12x}\\\\f(g(x)) = (9x^2-12x)^{1/2}\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*\frac{d}{dx}(9x^2-12x)\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*(18x-12)\\\\f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\[/tex]
Don't forget about the chain rule. The chain rule is applied in step 3 of that block of steps shown above.
The last thing we do is plug in x = 3 and simplify.
[tex]f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\f'(g(3)) = \frac{9*3-6}{\sqrt{9*3^2-12*3}}\\\\f'(g(3)) = \frac{21}{\sqrt{45}}\\\\f'(g(3)) = \frac{21}{\sqrt{9*5}}\\\\f'(g(3)) = \frac{21}{\sqrt{9}*\sqrt{5}}\\\\f'(g(3)) = \frac{21}{3*\sqrt{5}}\\\\f'(g(3)) = \frac{7}{\sqrt{5}}\\\\[/tex]
Side note: if you choose to rationalize the denominator, then you'll multiply both top and bottom by sqrt(5) to end up with [tex]f'(g(3)) = \frac{7\sqrt{5}}{5}\\\\[/tex]; however, your teacher has chosen not to rationalize the denominator.
The graph of -4x +3y-5= 0 passes through two points, A(2a, -1) and B(4,b). What is the value of a-b?
Answer:
-8
Step-by-step explanation:
The steps are in the photo I attatched
HELP ME PLEASEEEEEEEEEEEE
Answer:
it needs me to type more but answer is
-5,-4
Answer:
S will be at (-5,-4)
Step-by-step explanation:
T is located at (0,-4)
To move to the left, the x coordinate moves.
(0-5, -4)
S will be at (-5,-4)
A triangle has these coordinates:
Point A: (-8,-3)
Point B: (8,7)
Point C: (8,-3)
What is the length of side AC?
Answer:
16
Step-by-step explanation:
From Point A use -8 subtracted by Point C 8 and get
16. It is positive because the length of side can't be negative.
Please help me and use laws of exponents
Answer:
5^2x ÷ 5^-3 = 5⁵(5×5×5×5×5)
5^2x ÷ 1/5³(5×5×5) = 3125
5^2x ÷ 1/125 = 3125
5^2 × 4 = 3125
125
5⁸(5×5×5×5×5×5×5×5) = 3125
125
390625 = 3125
125
so the value X is = 4
Will Identify the outlier in the data set. 77, 73, 78, 78, 71, 75, 120, 75, 77, 72, 75, 70 The outlier is
Answer:
120
Step-by-step explanation:
120
every other number is in the 70s
I need help with this
Answer:
C. 16 inch 3
Step-by-step explanation:
A small cake is cut into 4 equal pieces. What fraction represents the entire cake? Explain.
Answer:
4/4 ?
Step-by-step explanation:
Answer:
4/4
Step-by-step explanation:
Since there are four pieces and none of them is eaten or taken we just do the number of total of pieces as the denominator and the number of pieces taken away on the numerator, since there wasn't any taken away we put it as 4 because there are 4 pieces still there of cake.
what is 9-3 3/7? answer pls
Answer:
6.5
Step-by-step explanation:
6.5
Answer:
5 4/7
Step-by-step explanation:
if i read your question right that is the answer
first to reply i will give brainliest btw there is no qusetion
Answer: Hii!
Step-by-step explanation:
The perimeters of two squares are in the ratio 2 : 4. The perimeter of
the larger square is 16 centimeters.
What is the perimeter of the smaller square?
Answer:
8
Step-by-step explanation:
2 : 4
8 : 16
Given OG = 16 and PE =9, what is the length of GE?
Answer:
Option (2)
Step-by-step explanation:
From the picture attached,
Length of OG = 16
Length of PE = 9
Let us draw a perpendicular AE to OG which intersects at A.
Length of AG = OG - PE
= 16 - 9
= 7
Length of AE = OP
= OT + TP
= OG + PE [Since, OT = OG and TP = PE, radii of the circles]
= 16 + 9
= 25
By applying Pythagoras theorem in ΔGAE,
GE² = AG² + AE²
GE² = 7² + 25²
GE = √674
GE = 25.96
≈ 26
Option (2) will be the correct option.
Can you please help me solve this problem using the Pythagorean theorem I’m so lost!!! (I Will give a brainliest if you help)
For questions 16 - 19, write each expression in the standard form for the complex number a + bi. 1/2(cos(72)+isin(72))^5
Given:
The expression is:
[tex]\dfrac{1}{2}(\cos (72)+i\sin (72))^5[/tex]
To find:
The [tex]a+bi[/tex] form for the given expression.
Solution:
According to De Moivre's theorem,
[tex](\cos \theta+i\sin \theta)^n=\cos (n\theta )+i\sin (n\theta )[/tex]
We have,
[tex]\dfrac{1}{2}(\cos (72)+i\sin (72))^5[/tex]
Using De Moivre's theorem, we get
[tex]=\dfrac{1}{2}(\cos (72\times 5)+i\sin (72\times 5))[/tex]
[tex]=\dfrac{1}{2}(\cos (360)+i\sin (360))[/tex]
[tex]=\dfrac{1}{2}(1+i(0))[/tex]
[tex]=\dfrac{1}{2}+0i[/tex]
It is the [tex]a+bi[/tex] form of the given expression. Here, [tex]a=\dfrac{1}{2},\ b=0[/tex].
Therefore, the required expression is [tex]\dfrac{1}{2}+0i[/tex].
Help! Write a recursive for formula
Answer:
cc
Step-by-step explanation:
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
sin
Step-by-step explanation:
take 34 degree as reference angle
usinf sin rule
sin 34=opposite/hypotenuse
0.55=16/x
x=16/0.55
x=29.09
x=29.1
Jonah has a 3-pound bag of soil todistribute equally between 6 flower pots.How much soil will be in each pot?
3 Divided 6 = 3 or 6 Divided 3 = 2?????????
-
6
Step-by-step explanation:
3 -> 6
? -> 1
? x 6 = 3 x 1
? = 3 / 6 = 1/2 pound bag of soil
1/2 pound soil will be in each bag
I don’t get it. Can someone explain this to me?
Answer:
18.285 in.²
Step-by-step explanation:
3 in. × 4 in. = 12 in.²
A = πr²
A = 12.57 in.²
12.57 in.² ÷ 2 = 6.285 in.²
6.285 in.² + 12 in.²
18.285 in.²