PLEASE HELP ASAP!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls.
x is boys
y is girls
800=1.5x=y
Determine how many boys and girls attend Park Middle School. Round to the nearest whole number if necessary. Show your work.
Answer:
320 boys; 480 girls
Step-by-step explanation:
Here is the correct system of equations you can write for this equation:
1.5x=y
x+y=800
x+1.5x=800
2.5x=800
x=320
320+y=800
y=480
help please !!!!!!!!!!!!!!11
Answer: 1.9 per year this is the answer
(-8) X 2/3 i NEED the answer help me
-5.33333333333
I used a calulator can I get brainliest please
where does 17 lies between
Answer:
it lies between 16 and 18
Step-by-step explanation:
Answer:
16 and 18
Step-by-step explanation:
find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8) lies on its terminal side
Answer:
cosФ = [tex]\frac{1}{\sqrt{65}}[/tex] , sinФ = [tex]-\frac{8}{\sqrt{65}}[/tex] , tanФ = -8, secФ = [tex]\sqrt{65}[/tex] , cscФ = [tex]-\frac{\sqrt{65}}{8}[/tex] , cotФ = [tex]-\frac{1}{8}[/tex]
Step-by-step explanation:
If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:
cosФ = [tex]\frac{x}{r}[/tex]sinФ = [tex]\frac{y}{r}[/tex]tanФ = [tex]\frac{y}{x}[/tex]secФ = [tex]\frac{r}{x}[/tex]cscФ = [tex]\frac{r}{y}[/tex]cotФ = [tex]\frac{x}{y}[/tex]Where r = [tex]\sqrt{x^{2}+y^{2} }[/tex] (the length of the terminal side from the origin to point (x, y)You should find the quadrant of (x, y) to adjust the sign of each function∵ Point (1, -8) lies on the terminal side of angle Ф in standard position
∵ x is positive and y is negative
→ That means the point lies on the 4th quadrant
∴ Angle Ф is on the 4th quadrant
∵ In the 4th quadrant cosФ and secФ only have positive values
∴ sinФ, secФ, tanФ, and cotФ have negative values
→ let us find r
∵ r = [tex]\sqrt{x^{2}+y^{2} }[/tex]
∵ x = 1 and y = -8
∴ r = [tex]\sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}[/tex]
→ Use the rules above to find the six trigonometric functions of Ф
∵ cosФ = [tex]\frac{x}{r}[/tex]
∴ cosФ = [tex]\frac{1}{\sqrt{65}}[/tex]
∵ sinФ = [tex]\frac{y}{r}[/tex]
∴ sinФ = [tex]-\frac{8}{\sqrt{65}}[/tex]
∵ tanФ = [tex]\frac{y}{x}[/tex]
∴ tanФ = [tex]-\frac{8}{1}[/tex] = -8
∵ secФ = [tex]\frac{r}{x}[/tex]
∴ secФ = [tex]\frac{\sqrt{65}}{1}[/tex] = [tex]\sqrt{65}[/tex]
∵ cscФ = [tex]\frac{r}{y}[/tex]
∴ cscФ = [tex]-\frac{\sqrt{65}}{8}[/tex]
∵ cotФ = [tex]\frac{x}{y}[/tex]
∴ cotФ = [tex]-\frac{1}{8}[/tex]
A baseball organization has 209 players. It wants to buy sweatshirts or jackets for players’ warmups.
Warm-up Type Price
Sweatshirt $38
Jacket $50
What is the difference in the total price of the sweatshirts and the jackets for all 209 players?
Enter your answer in the box.
Answer:
The answer is 2508
Step-by-step explanation:
PLEASEEEEE HELP
A researcher is interested in determining theeffectiveness of a new medication that may reduce blood sugar levels for individuals who have
diabetes and a higher than average blood sugar level. To determine the effectiveness of the medication, the researcher uses 100 volunteers
who have diabetes. Volunteers are assigned randomly 50 milligrams of the medicine, 100 milligrams of the medicine, or a placebo. Blood sugar
levels are measured at the beginning and end of the study.
Part A: Identify the subjects, treatments, and response variable. (2 points)
Part B: What is the advantage of the random assignment of treatment? (3 points)
Part C: What is an advantage of using a placebo? (3 points)
Part D: What is a disadvantage of using volunteers? (2 points)
Answer:
A: The subjects are the 100 patients who are being studied. The treatments are the amount and type of medicine they are getting, or whether they are getting a placebo. Lastly the response variable is the blood sauger in the patients at the end of the experiment.
B: The advantage of the random assignment of treatment is that it reduces the possibility of bias and ensures that the treatments are the only factors that effect the response variable.
C: Using a placebo when experimenting ensures that the treatments are actually the ones causing the change in the response variables, and that the treatments themselves are not using the placebo effect.
D: Using volunteers can cause voluntary response bias. This is when members of the population are allowed to volunteer for an experiment. This could cause the sample used by the experiment to not accurately reflect the population as a whole.
Step-by-step explanation:
I am not positive that these answers are correct, but I am reasonably sure.
Compute the mean, median, and mode for the following three sets of scores saved.
Score 1 Score 2 Score 3
3 34 154
7 54 167
5 17 132
4 26 145
5 34 154
6 25 145
7 14 113
8 24 156
6 25 154
5 23 123
Answer/Step-by-step explanation:
Score 1:
3, 7, 5, 4, 5, 6, 7, 8, 6, 5
Mean = [tex] \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 [/tex]
Median: order the data from least to the greatest.
3, 4, 5, 5, 5, 6, 6, 7, 7, 8
The median is average of the fifth and sixth data value in the data set
Median = (5 + 6)/2 = 11/2 = 5.5
Mode = value with the highest frequency = 5
Score 2:
34, 54, 17, 26, 34, 25, 14, 24, 25, 23
Mean = sum of all values/10
Mean = 276/10 = 27.6
Median: order the data set from min to max.
14, 17, 23, 24, 25, 25, 26, 34, 34, 54
The median is average of the fifth and sixth data value in the data set
Median = (25 + 25)/2 = 50/2 = 25
Mode = 25 and 34 (both have frequencies of 2)
Score 3:
154, 167, 132, 145, 154, 145, 113, 156, 154, 123
Mean = sum of all values/10
Mean = 1443/10 = 144.3
Median: order the data set from min to max.
113, 123, 132, 145, 145, 154, 154, 154, 156, 167
The median is average of the fifth and sixth data value in the data set
Median = (145 + 154)/2 = 299/2 = 149.5
Mode = 154
I need help ASAP due rn!
Solve the equation by completing the square. Show all your steps
X^2-6x+13=0
Plz help me it’s geometry
Find the general solution of y''' + 9y'' + y' − 111y = 0 if it is known that y1 = e−6x cos(x) is one solution.
Answer:
[tex]\mathbf{y(x) = \dfrac{(c_1 + c_2) \ cos (x)}{e^{6x} }+ \dfrac{i(c_1 -c_2) \ sin (x)}{e^{6x}}+ c_3e^{3\ x}}[/tex]
Step-by-step explanation:
The objective of this question is to solve:
[tex]\dfrac{dy(x)}{dx}+ 9\dfrac{d^2y(dx)}{dx^2}+\dfrac{d^3y(x)}{dx^3}-111y(x) = 0 :[/tex]
Suppose the general solution is proportional to [tex]e^{\lambda x}[/tex] for [tex]\lambda[/tex] is constant; Then:
Let's replace [tex]y(x) = e^{\lambda\ x}[/tex] into the above equation:
i.e.
[tex]\dfrac{d^3}{dx^3}(e ^{\lambda x} )+ 9 \dfrac{d^2}{dx^2}(e ^{\lambda x} ) + \dfrac{d}{dx}(e ^{\lambda x} )- 111 \ e ^{\lambda x} = 0[/tex]
To Replace:
[tex]\dfrac{d^3}{dx^3}(e ^{\lambda x} )[/tex] with [tex]\lambda^3 e ^{\lambda x }[/tex]
[tex]\dfrac{d^2}{dx^2}(e ^{\lambda x} ) \ with \ \lambda^2 e^{\lambda\ x}[/tex]
[tex]\dfrac{d}{dx}(e ^{\lambda x} ) \ with \ \lambda e ^{\lambda \ x}[/tex]
Thus;
[tex]\lambda^3 e ^{\lambda x }[/tex] + [tex]9 \lambda^2 e^{\lambda\ x}[/tex] + [tex]\lambda e ^{\lambda \ x}[/tex] - 111 [tex]e ^{\lambda \ x}[/tex] = 0
[tex]e ^{\lambda \ x} (\lambda ^3 + 9 \lambda ^2 + \lambda - 111 )= 0[/tex]
∴
In as much as [tex]e^{ \lambda x}\neq 0[/tex] for any finite [tex]\lambda[/tex]; Then:
[tex]\lambda ^3 + 9 \lambda ^2 + 111 = 0[/tex]
By Factorization:
[tex](\lambda - 3) ( \lambda ^2 + 12 \lambda + 37) = 0[/tex]
[tex]\lambda = -6 + i \ or\ \lambda = -6 - i \ or \ \lambda = 3[/tex]
However;
The root [tex]\lambda = -6 \pm i[/tex] yield;
[tex]y_1 = (x) = c_1 e ^ {(-6+i)x}[/tex]
[tex]y_2 (x) = c_2e^{(-6-i)x}[/tex]
The root [tex]\lambda = 3[/tex] yield;
[tex]y_3(x) = c_3 e^{3x}[/tex]
∴
The general solution is:
[tex]y(x) = y_1(x) + y_2(x) + y_3(x) = \dfrac{c_1}{c^{(6-i)}x}+\dfrac{c_2}{c^{(6+i)}x}+ c_3e^{3x}[/tex]
Using Euler's Identity ;
[tex]e^{\alpha+i \beta} = e^\alpha \ cos (\beta ) + i \ e^\alpha \ sin ( \beta)[/tex]
[tex]y(x) = c_1 ( \dfrac{cos (x) }{e^{6x}}+ \dfrac{i \ sin x }{e^{6x} }) + c_2 ( \dfrac{cos (x)}{e^{6x}}- \dfrac{-i \ sin (x)}{e^{6x}})+c_3 e^{3x}[/tex]
[tex]\mathbf{y(x) = \dfrac{(c_1 + c_2) \ cos (x)}{e^{6x} }+ \dfrac{i(c_1 -c_2) \ sin (x)}{e^{6x}}+ c_3e^{3\ x}}[/tex]
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Answer:
kya pls help meeeeeeeeeeeeeeee.
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Evaluate and reduce:
-4.9
Enter the number that belongs in the
green box,
Answer:
Step-by-step explanation:
-4/7 * 9
The dot there resembles multiplication sign.
-4/7 * 9/1 (9 = 9/1 because 9 divided by 1 = 9)
=> -(4 * 9) / (9 * 1)
=> -36 / 9
=> -4
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Jean's bedroom is 13 feet by 11 feet. She has chosen a carpet which costs $29.65 per square yard. This includes installation.
Determine her cost to carpet her room.
Answer:
The answer is 4239.95
Step-by-step explanation:
First, you would have to do 13x11.
Which will come out to be 143.
Then do 143 times 29.65 to get your answer.
The answer is 4239.95.
Jean's cost to carpet her room is $470.33.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
First, we have to convert the dimensions of the room from feet to yards:
Length in yards = 13 feet / 3 feet per yard = 4.33 yards
Width in yards = 11 feet / 3 feet per yard = 3.67 yards
The area of the room is:
Area = length x width
Area = 4.33 yards x 3.67 yards
Area = 15.86 square yards
The cost per square yard is $29.65, so the total cost is:
Total cost = area x cost per square yard
Total cost = 15.86 square yards x $29.65/square yard = $470.33
Therefore, Jean's cost to carpet her room is $470.33.
Learn more about the area of the rectangle here:
brainly.com/question/20693059
#SPJ2
use the simplified ratio to find the equivalent ratio with a denominator of 140
Answer:
x
__
140
Step-by-step explanation:
all i could get sorry
Bob is hiking down a 12-mile country trail. He could hike at 3 mph for the first two hours and then go the rest of the way at 5 mph or he could just go the whole way at 4 mph. How long would each of these options take? Which option is the faster?
Answer:
The first option would take:
The second option would take:
The faster option is the:
Answer: The first option would take: 3.2 hr
The second option would take: 3 hr
The faster option is the: second
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
Speed = distance / time.
First option:
Walking at 3mph for 2 hours will give 2*3 = 6 miles.
So for 6 miles travelling at 5 mph he will take 6/5 = 1.2 hours.
Total time = 3.2 hours.
Second option:
Walking for 12 miles at 4 mph will take him 12/4 = 3 hours.
The fastest option is the second one.
HELP PLSSSSS AAAAAAAAAAAAAAAAAAAAAA ILL GIVE BRAINLIEST B(
Answer:
a(n) = (3/5)a(n-1), where a(1) = 10 and n is 2 or greater.
Step-by-step explanation:
determine the common factor...The first term (10) by 3/5 results in the given second term (6); the third term is 3/5 of the second term (6), resulting in 18/5 (equivalent to 36/10 or 3.6/1, or just 3.6. Resulting in a(n) = (3/5)a(n-1).
the third term is 3.6, which, if mult. by (3/5), produces 2.16, as expected.
Thus, the recursive formula for this geometric sequence is a(n) = (3/5)a(n-1).
This is good only for a(1) = 10 and n = 2, 3, ....
Hope this helps you
Answer:
what are the characteristics of the two systems of government in this region? Explain in detail.
Explanation:
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Explanation:
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Explanation:
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Step-by-step explanation:
What Is It HomeWork*.
Answer:
sumthing that we hate doing
Step-by-step explanation:ughhhhhhhhhh
What are the answers to 11 and 12
A florist sold 45 flowers in a day and 60 flowers on the next day. If p is the percent increase in the number of flowers sold, which proportion can be used to calculate p?
Answer:
c
Step-by-step explanation:
i took the test
Answer: C
Step-by-step explanation:
Only one that makes sense and I just took that test
A researcher wants to compare the heights of males between generations to see if they differ. To do this, he samples random pairs of males who are at least 18 years old and their fathers. He then splits them into a sample of fathers and a sample of sons. Suppose that data were collected for a random sample of 11 pairs, where each difference is calculated by subtracting the height of the son from the height of the father. Assume that the heights are normally distributed. The test statistic is t≈1.971, α=0.05, the corresponding rejection regions are t<−2.228 and t>2.228, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0.
Select all that apply:
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different.
d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that the heights of males between generations are different.
Answer:
The correct option is
Option A and Option C
Step-by-step explanation:
From the question we are told that
The sample size of paired men is [tex]n_p = 11[/tex]
The test statistics is t≈1.971
The significance level is α=0.05
The rejection region is t<−2.228 and t>2.228
The null hypothesis is [tex]H_o :\mu_ d=0[/tex]
The alternative hypothesis is [tex]H_a :\mu_ d \ne 0[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 - 2[/tex]
Here [tex]n_1[/tex] is the sample size of father which is [tex]n_1 = 11[/tex]
[tex]n_2[/tex] is the sample size of males who are at least 18 years old which is [tex]n_2 = 11[/tex]
So
[tex]df = 11 + 11 - 2[/tex]
=> [tex]df = 20[/tex]
Generally the critical values of α=0.05 from the t- distribution table at a degree of freedom of [tex]df = 20[/tex] for a two -tailed test is
[tex]t_{0.05 , 20 } = \pm 2.08596345 [/tex]
From the value obtained we see that the critical value is within the region of rejection hence
The decision rule is
Reject the null hypothesis
The conclusion is
The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different.
Snail moves 6 inches in 120 minutes. What was average speed of snail in inches per minute
Answer:
.2 inches a min.
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
6 divided by 120 = 0.05
Hope this helps☺️
which number line and expression show how to find the distance from -4 to 1?
Answer:
the correct answer is C
Determine wheather the given lines are parallel or not. Write the reasons .
Answer:
yes it is parallel because the alternate interior angles are equal
a bacteria culture begins with 8 bacteria which triples in size every week. How many bacteria exists in the culture after 4 weeks ?
Answer:
648
Step-by-step explanation:
8x3=24
24x3=72
72x3=216
216x3=648
CAN YOU PLS ANSWER THIS QUICK!!! WHAT IS THE ANSWER TO THIS MATH EQUATION??? GEOMETRY/COLLEGE!!!
is this a equation or expression 4r+3=12
Answer:
Equation
Step-by-step explanation:
Because there is only one unknown term in it
I hope it helps
Thank U
The neighborhood swimming pool drains at a rate of 99 gallons every 3 hours. At this rate, how many gallons are
emptied each hour?
Helllllpppppp meeee
Answer:
33mph
Step-by-step explanation:
because if u divide 99 by 3 that is the answer
Solve for x.
6(x – 1) = 9(x + 2)
Answer: -8
Step-by-step explanation:
Distribute 6 to x and -1
6x-6=9(x+2)
Distribute 9 to x and 2
6x-6=9x+18
Add 6 to both sides
6x=9x+24
Subtract 9x from both sides
-3x=24
Divide -3 from both sides
X=-8
Statements about regression
Which of the following are true about regression with one predictor variable (often called "simple regression")?
A. The total squared error divided by its degrees of freedom is the square of the standard error of estimate
B. The standardized regression coefficient, beta, has the same value as r, the estimated correlation
C. After conducting a hypothesis test to test that the slope of the regression equation is nonzero, you can conclude that your predictor variable, X, causes Y
Answer:
Follows are the solution to this question:
Step-by-step explanation:
It is true because the square of the standard error of its estimate was its total square error divided only by the degree of freedom. It is true because Its coefficient with Standardized Regression, beta, will have the same value as r, the approximate similarity. It is false because Its slope b, of its equation of regression, will have the same value as r, the projected correlation.