Answer:
[tex]P = 8 - 42x + 56y + 12xy[/tex]
Step-by-step explanation:
Given
[tex]Length = 4 - 7(3x + 4y)[/tex]
[tex]Width = 3x(2y)[/tex]
Required
The perimeter (P)
This is calculated as:
[tex]P = 2 * (Length + Width)[/tex]
[tex]P = 2 * (4 - 7(3x + 4y) + 3x(2y))[/tex]
Open bracket
[tex]P = 2 * (4 - 21x + 28y + 6xy)[/tex]
Open bracket
[tex]P = 8 - 42x + 56y + 12xy[/tex]
i am very stuck on this
The measure of an angle is twenty-three times the measure of its supplementary angle. What is the measure of each angle?
Answer:
∡'s are 172.5° and 7.5°
Step-by-step explanation:
x = 23(180-x)
x = 4140 - 23x
add 23x to each side
24x = 4140
x = 4140/24
x = 172.5
So, supplementary angles is an angle pair that adds up to 180 degrees.
If one of the angles is 23 times larger than the other angle, then the other angle would be 1 times larger, due to the reflexive prop.
So combined, the angle pair is 24 times larger than the small angle. And since we know that the supplementary angle is 180, it's something that easy math can solve.
For the small angle:
180 / 24 --> 7.5 degrees.
Now with the big angle that 23 times that:
7.5 * 23 --> 172.5 degrees.
20 POINTS HELP!!
Find the value of x and y
Answer:
x=64 degrees
Step-by-step explanation:
What's the output of a system modeled by the function ƒ(x) = x5 – x4 + 9 at x = 2?
Please Help
A)
24
B)
16
C)
30
D)
25
Answer:
a
Step-by-step explanation:
please make me Brianlist please
According to data from the United States Elections Project, only 38 percent of eligible voters voted in the 2014 elections. For random samples of size 40, which of the following best describes the sampling distribution of p, the sample proportion of people who voted in the 2014 elections?
A. The sampling distribution is approximately normal, with mean 0.36 and standard deviation 0.076.
B. The sampling distribution is approximately normal, with mean 0.36 and standard deviation 0.006.
C. The sampling distribution is skewed to the right, with mean 0.64 and standard deviation 0.006.
D. The sampling distribution is approximately normal, with mean 0.64 and standard deviation 0.076.
E. The sampling distribution is skewed to the left, with mean 0.36 and standard deviation 0.076.
Answer:
I think it's either A or E sorry if I'm wrong
Using Central Limit Theorem, it is found that the option which best describes the sampling distribution of p, the sample proportion of people who voted in the 2014 elections is:
A. The sampling distribution is approximately normal, with mean 0.36 and standard deviation 0.076.The Central Limit Theorem states 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 proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]In this problem:
The proportion is [tex]p = 0.38[/tex].Samples of size 40, hence [tex]n = 40[/tex].Hence, the mean and standard error are given by:
[tex]\mu = p = 0.38[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.38(0.62)}{40}} = 0.076[/tex]
Also approximately normal, hence, option A is correct.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/16695444
The polynomial f(x) is written in factored form:
f(x) = (x - 6)(x + 5)(x - 9)
What are the zeros of the polynomial function?
O x = 6, x = -5, X = 9
O x = 6, X = 5, X = 9
Ox= -6, X = 5, x = -9
Ox= -6, X = 6, X = -5, x= 5, X = -9, x = 9
15points please help
Answer:The zeros are 6, -5, 9
Step-by-step explanation:
The zeros of the polynomial function are x = 6, x = -5, and x = 9. The correct option is A.
What are polynomials?In mathematics, a polynomial is an expression that solely uses the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables. It is made up of coefficients and indeterminates.
The zeros of the polynomial function are the values of x that make f(x) equal to zero.
The polynomial f(x) is written in factored form as:
f(x) = (x - 6)(x + 5)(x - 9)
The zeros of the polynomial are the values of x that make any of the factors equal to zero. Therefore, the zeros are:
x - 6 = 0, which gives x = 6
x + 5 = 0, which gives x = -5
x - 9 = 0, which gives x = 9
Thus, the zeros of the polynomial function are x = 6, x = -5, and x = 9.
To know more about polynomials follow
https://brainly.com/question/30385780
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A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of graduation. The academic director is concerned that market factors may have adversely affected the full-time placement rate and decides to perform a Hypothesis Test to see if her concern is warranted. The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07. Assume that all conditions for testing have been met and choose the statement that contains the correct conclusion.
a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
b. there is sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
c. there is sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
c. there is not sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
Answer:
Option A, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
Step-by-step explanation:
Here the Null hypothesis would be
H0: 87% of the graduates find full-time employment in their field within the first year of graduation
H1: Less than 87% of the graduates find full-time employment in their field within the first year of graduation
Here the p values is 0.07.
Since the p value is greater than 0.05, there are not enough evidences to reject the hull hypothesis.
Hence, option A is correct
Since the p-value is greater than the significance level, the correct option is:
a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
At the null hypothesis, it is tested if the proportion is still of 0.87, that is:
[tex]H_0: p = 0.87[/tex]
At the alternative hypothesis, it is tested if it has decreased, that is:
[tex]H_1: p < 0.87[/tex]
Since the p-value is greater than the significance level, we do not reject the null hypothesis, and hence, the correct option is A.
A similar problem is given at https://brainly.com/question/25831511
simplify 12 : 3 3/10 : 5.5
3.
What is the rate of change of this graph?
825
750
675
Account Balance (dollars)
600
525
450
375
300
0
1
2
3
4
5
6
7
00
9
10
Time (months)
9514 1404 393
Answer:
-25 dollars per month
Step-by-step explanation:
It is convenient to compute the rate of change using points where the graph crosses grid intersections. A couple of these are ...
(months, dollars) = (1, 675) and (4, 600)
Using the slope formula, we have ...
m = (y2 -y1)/(x2 -x1)
m = (600 -675)/(4 -1) = -75/3 = -25 . . . . . dollars/month
I WILL GIVE BRAINLIEST IF IT'S CORRECT AND THE BEST ANSWER
Write a problem that can be answered using the line plot.
Answer:
What is the median amount of salt left
Step-by-step explanation:
The original price of sunglasses is $25. The sale price is 20% off the original price. How much money will be saved (what is the discount)?
Step-by-step explanation:
5 $
How many times greater is the value of the 9 in 94,316 than the value of the 9 in 69,147
Answer:
Step-by-step explanation
90,000 is 20,853 greater than 69,147
Who can do this I confused except for number 1
PLS HELP ITS URGENT!!
The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit.
The surface area of the ball is approximately
square Inches.
The volume of the ball is approximately
cubic Inches.
Answer:
SA= 28 in^2
V= 14 in^3
Step-by-step explanation:
circumference= 2πr
9.4 = 2πr
r = 1.496
surface area of a ball = [tex]4\pi r^{2}[/tex]
= [tex]4\pi (1.496)^{2}[/tex]
=28 in^2
volume of a ball= [tex]\frac{4}{3} \pi r^{3}[/tex]
= [tex]\frac{4}{3} \pi (1.496)^{3}[/tex]
=14 in^3
Find the volume of this triangular prism.
25 cm
10 cm
10 cm
Answer:
volume of the triangular prism
[tex] (\frac{1}{2} \times 10 \times 10) \times 25 \\ 1250 {cm}^{3} [/tex]
Answer:
1250cm2Step-by-step explanation:
BY: [tex]ζBenjamin[/tex]
Assume: Triangle CDE is a right triangle and Angle D is a right angle. What is the length of the missing side? A) 26 . B) 25 . C) 24 . D) 23 .
Answer:
Length of base DE = 24 units
Step-by-step explanation:
Given:
In given triangle, right angle at D
SO,
Perpendicular of given triangle = 32 unit
Hypotenuse of given triangle = 40 unit
Find:
Length of base DE
Computation:
Using Pythagoras theorem
Base = √Hypotenuse² - Perpendicular²
Length of base DE = √Hypotenuse of given triangle² - Perpendicular of given triangle²
Length of base DE = √40² - 32²
Length of base DE = √1,600 - 1,024
Length of base DE = √576
Length of base DE = 24 units
Plz help me well mark brainliest if correct!!....
Answer:
B) Fifth Grade Boys
Step-by-step explanation:
The far right green line represents the fifth grade boys, and you can see that this lines up right in the middle of 50 and 60.
Find the area of the parallelogram shown.
Anne has 198. apples and buys 285
apples and 693 green apples.
How much does anne
have?
Answer:
1176 apples
Step-by-step explanation:
198 + 285 + 693 = 1176
Step-by-step explanation:
your answer will be 1,176 apples. Just add them up :)
3(x+3) [tex]\geq[/tex] 4(x-4)
Answer:
12x2-12x-144 thats the answer
Step-by-step explanation:
(help) wHICH RAYS FORM THE SIDES OF IHG
Answer:
B and D
Step-by-step explanation:
A ray is just the line so the rays are IH, and HI. It is not IH because that is a line segment. It is not GI because it goes across. Therefore, the answer is B and D.
Answer:
a d
Step-by-step explanation:
A function that has f(-x)=-f(x) is known as what type of function? *
An example would be the function f(x) = x^3
Note how f(-x) = (-x)^3 = -x^3 = -f(x)
In contrast, an even function is any function where f(-x) = f(x) for all x in the domain.
Answer:
Odd
Step-by-step explanation:
A golden rectangle has a length of 5 cm. Find the area of the rectangle to the nearest square centimeter.
Answer: is it 25? i am bad at math but i am guessign
Step-by-step explanation:
First person to answer correctly get marked brainly
How many roots, real or complex does the polynomial have in all
Answer: i need points but i think its 4
Step-by-step explanation:
URGENT need help CLICK TO SEE
Step-by-step explanation:
Integers : 26.00, 0.35, - 2
Not integers: 21/3, 1/4
Answer:
Interger: 0.35, -2, 1/4
Not an Interger: 26.00, 21/3
Step-by-step explanation:
Decimals, negatives, and fraction all fall into the category of integers along with others
0.35, -2, 1/4 fall into the category of either fractions, negatives, or decimals which makes them, in turn, fall into the category of integers
26.00 looks like a decimal but since the 0's don't need to be there, it's actually 26, which is not a integer
21/3 is an improper fraction which, when simplified, is 7, which is not an integer
I may be wrong, but this is what I got
I hope this helps!
HELP!! ASAP!! WILL give BRAINLY! NO LINKS!! Will report them!
Answer:
Choose ( A)
A. y =|x/2| – 5
Write down the integer values that satisfy the inequality -5<_x<3
Answer:
(-4,-3,-2,-1,0,1,2)
Step-by-step explanation:
..........i hope it is............
Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC News, July 21, 2008). The report documents that 70% of older workers in England feel fulfilled, compared with just 50% of younger workers. A demographer believes that an identical pattern does not exist in Asia. A survey of 120 older workers in Asia finds that 75 feel fulfilled. A similar survey finds that 58% of 210 younger workers feel fulfilled.
At a 5% level of significance, test if older workers in Asia feel less fulfilled than their British counterparts.
a-1. Select the null and the alternative hypotheses.
H0: p ≥ 0.70; HA: p < 0.70
H0: p = 0.70; HA: p ≠ 0.70
H0: p ≤ 0.70; HA: p > 0.70
a-2. Calculate the sample proportion. (Round your answer to 3 decimal places.)
Sample proportion
a-3. Calculate the value of test statistic. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
a-4. Calculate the p-value of the test statistic.(Round your intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
a-5. What is the conclusion?
Older workers in Asia feel less fulfilled
Older workers in Asia do not feel less fulfilled
At a 5% level of significance, test if younger workers in Asia feel more fulfilled than their British counterparts.
b-1. Select the null and the alternative hypotheses.
H0: p = 0.50; HA: p ≠ 0.50
H0: p ≥ 0.50; HA: p < 0.50
H0: p ≤ 0.50; HA: p > 0.50
b-2. Calculate the sample proportion. (Round your answer to 2 decimal places.)
Sample proportion
b-3. Calculate the value of test statistic. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
b-4. Calculate the p-value of the test statistic.(Round your intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
b-5. What is the conclusion?
Younger workers in Asia feel more fulfilled
Younger workers in Asia do not feel more fulfilled
Answer:
H0: p ≥ 0.70; HA: p < 0.70
Sample proportion = 0.625
Test statistic = -1.79
Pvalue = 0.0367
Older workers in Asia feel less fulfilled
B.)
H0: p ≤ 0.50; HA: p > 0.50
0.58
2.35
0.0094
younger workers in Asia feel more fulfilled
Step-by-step explanation:
1.)
H0: p ≥ 0.70;
HA: p < 0.70
The test statistic :
(Phat - p) /sqrt(p(1-p)/n)
Phat = x / n = 75/120 = 0.625
1 - p = 1 - 0.7 = 0.3
(0.625-0.70) / sqrt(0.7*0.3/120)
-0.075 / 0.0418330
= - 1.79
Pvalue FROM Zscore calculator :
Pvalue = 0.0367
α = 5% = 0.05
Pvalue < α ; Reject then Null and conclude older workers in Asia feel less fulfilled than their British counterparts.
B.)
H0: p ≤ 0.50; HA: p > 0.50
Sample proportion, phat = 58% = 0.58
The test statistic :
(Phat - p) /sqrt(p(1-p)/n)
(0.58 - 0.50) / sqrt(0.58*0.42)/210)
0.08 / 0.0340587
Test statistic = 2.35
Pvalue FROM Zscore calculator :
Pvalue = 0.0094
α = 5% = 0.05
Pvalue < α ; Reject then Null and conclude younger workers in Asia feel more fulfilled than their British counterparts
A nutritionist suspected that her company's clients had below average cholesterol. They obtained a random sample of 8 clients of the same age and gender. These clients had a mean cholesterol level of xˉ=4.28 mmol/L (millimoles per liter).
To see how likely a sample like this was to happen by random chance alone, the nutritionist performed a simulation. They simulated 60 samples of n=8 cholesterol levels from a normal population with a mean of 4.6 mmol/L and a standard deviation of 0.5 mmol/L (these are generally accepted values for people with the same age and gender of those in the sample). They recorded the mean of the cholesterol levels in each sample. Here are the sample means from their 60 samples:
They want to test H0:μ=4.6 mmol/L vs. Ha:μ<4.6 mmol/L where μ is the mean cholesterol level for all clients like those sampled.
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was xˉ=4.28 mmol/L.
Answer:
p-value ≈ 0.05
Step-by-step explanation:
Solve the triangle. Round decimal answers to the nearest tenth.
Answer:
you round the 48 so it's 50.
A store raises its prices on granola bars by 15%. The original cost of the granola bars is $3.50. What is the new cost of granola bars?
Answer:
$4.02
Step-by-step explanation: