Answer:
first one is x=-15-2y/5
second one x=y-3
Step-by-step explanation:
A, B, C and D form the vertices of a parallelogram.
AD = 11.1cm, AB = 15.5cm and ZBAD = 71°.
Find the area of the parallelogram. Round to 1 DP.
Answer:
Area = 162.70 square centimetre.
Step-by-step explanation:
From the given question,
AD = 11.1 cm, AB = 15.5 cm and <BAD = 71°
The area of the parallelogram can be determined by;
Area = AD x AB x Sin <BAD
= 11.1 x 15.5 x Sin 71°
= 172.05 x 0.94552
Area = 162.67672
= 162.70 [tex]cm^{2}[/tex]
Therefore, the area of the given parallelogram is 162.70 square centimetre.
Augusto wants to prove to his parents that watching TV while he does his homework will help him get better grades. He decides to ask 20 of his friends if they watch TV while they do their homework and what their grades are. He finds that his friends who have high grades also watch TV while they do their homework. He tells his parents that he has proven that watching TV while doing homework will cause his grades to improve. What mistake has Augusto made?
Answer:
Augusto was biased and only asked his friends
Step-by-step explanation:
Augusto should've asked 20 random people, since the people he hangs around the most probably have the same habits
This was not a fair collection of data
He did not use a random sample, and he tried to show cause and effect with an observational study
SOMEONE HELP PLEASE NEED ANSWER ASAP!!!
Answer:
3
Step-by-step explanation:
=12/4
the common ratio =3
Which trigonometric function is an odd function and why?
Answer:
Last one D.
Step-by-step explanation:
Just remember x, f(–x) = –f(x).
ASAP Point A, located at (-3, -3) is translated 6 units up, resulting in the location of point A'. What other transformation would result in the same location for point A'? A reflection in the x-axis A translation of 6 units to the left A reflection in the y-axis A rotation of 180°
~I KNOW ITS NOT A REFLECTION IN THE Y-AXIS
Answer:
(3,3)
Step-by-step explanation:
A reflection of this across the y-axis is (-3,3). A reflection of Point A, (-3,-3), over the x-axis is also (-3,3).
Find: AABCD in square unit.
Answer:
in triangle ACD
<D =<B=90° inscribed angle from the diameter is 90°
base AC=2×OA=2×15=30unit
perpendicular =CD=12unit
area of triangle ACD
=1/2 base×perpendicular=1/2×30×12=180unit²
In triangle ABC
base=AC=30 unit
perpendicular=BC=18unit
area of traingle ABC =
1/2 base×perpendicular=1/2×30×18=270unit²
Area of quadrilateral =area of traingle [ABC+ACD]
=180+270=450 square unit ans..
Question 9 (5 points)
Find the distance between a point (6,9) and a horizontal line at y= 5.
OA) 15
B) 4
OC) 11
D) 14
what is the answer to this?
Answer:
i can only say that you should use this forumla, the sins law
sin(a)/A = sin(b)/B = sin(c)/C
Step-by-step explanation:
A number cube labeled one though six is rolled and a letter is selected from the word MUSIC. Find each probability.
P(2 and S)
a. 1/6
b. 1/5
c. 1/30
d. 1/11
HELP
Answer:
1/30
Step-by-step explanation:
4. Find the greatest number which divides 171 and 251 leaving the remainders
3 and 6 respectively.
Answer:
The answer is 7.
Ina class of 44 pupil 3/4 are girls . How many girls would be there altogether.
Answer:
33 girls
Step-by-step explanation:
This is the answer because:
1) 3/4 of 44 is 33 because 1/2 of 44 is 11
a) 11 x 3 = 33
Hope this helps! :)
Answer:
33 girls
Step-by-step explanation:
44/4= 11
11x3=33
plz mark me as brainliest.
what is the arc length of s in the figure below
Answer:
2.18ft
Step-by-step explanation:
what is the arc length of s in the figure below
Length of the arc = theta/360 * 2πr
r is the radius = 1ft
theta = 125 degrees
Substitute into the formula
Length of the arc = 125/360 * 2(3.14)* 1
Length of the arc = 785/360
Length of the arc = 2.18ft
Hence the length of the arc is 2.18ft
Simplify the following expression. x(x - 3) - 4(x2 + 7)
Answer:
[tex]x^{2} -11x-28[/tex]
Step-by-step explanation:
We start of with this.
[tex]x(x-3)-4(2x+7)[/tex]
First, use the distributive property, and distribute the x to the (x-3) to get: [tex]x^{2} -3x-4(2x+7)[/tex]
Next, distribute the -4 to the (2x+7) to then get:
[tex]x^{2} -3x-8x-28[/tex]
Then, combine like terms. In this case, combine -3x and -8x since they are alike and get:
[tex]x^{2} -11x-28[/tex]
The answer is already in standard form, so we're done. To write a polynomial in standard form, write the monomial with the variable, with the largest exponent first. In this case, [tex]x^{2}[/tex] goes before [tex]-11x[/tex] because of the exponent of 2. Monomials without a variable go last, so that's why -28 is last.
Sam is designing an open wooden box in the shape of a rectangular prism. The base of the box will be 6 feet by 8 feet. He has not yet decided what the height will be.
Answer:
10ft
Step-by-step explanation:
Let assume the volume of the box be 480ft^3
Required
height h
Volume of the box = length * width * height
Substitute
480 = 8 * 6 * h
480 = 48 * h
h = 480/48
h = 10ft
Hence the height of the box if the volume of 480ft^3 is 10ft
Need some help :(
What is the speed of a jet plane that flies 8100 km in 9 hours?
A. 900 km/sec
B. 900 km/hr
C. 900 meters/sec
D. 900 km/hr/hr
I will give Brainliest !!
Answer:
::::::::::::::::
B. 900 km/h
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
You ask the students in class two questions. Which question is statistical and which is non-statistical? Explain.
What time does the first period begin?
What time do you leave home to go to school?
Answer:
the first is non-statistical and the second one is statistical
Step-by-step explanation:
when it is statistical it is asking in general (like a yes or no question) and when it's non-statistical it is asking something specific.
A rectangular prism is shown.
What is the volume, in cubic inches, of this rectangular prisim
Answer:
Step-by-step explanation:
104 cubed , find the value of each side length x width x height
find the area of the triangle by forming a parallelogram
!NO LINKS, NO FILES!
please :)
Could someone help me figure this out??
Answer:
180
Step-by-step explanation:
PLEASE PLEASE HELP ILL MARK U AS BRAINLIST I NEED HELP ASAP !
Answer:
4.24 is the answer
A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $2 discount on 5 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 5 weekday period jumps to 35.
Required:
What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?
Answer:
0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount
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.
A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6.
This means that [tex]\mu = 30, \sigma = 6[/tex]
5 consecutive weekdays.
This means that [tex]n = 5, s = \frac{6}{\sqrt{5}} = 2.6832[/tex]
What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?
This is 1 subtracted by the pvalue of Z when X = 35.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{35 - 30}{2.6832}[/tex]
[tex]Z = 1.86[/tex]
[tex]Z = 1.86[/tex] has a pvalue of 0.9686
1 - 0.9686 = 0.0314
0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount
how do you solve 6 1/2 x 16?
Answer:
Step-by-step explanation:
Make 6 1/2 an irrational fraction: 13/2 (I dunno know if its called that )
divide 16 by 2: 8
multiply that by 13: 104
Tell me if this helps or not bc I'm not really sure, but I really hope I helped!
Marcus has a bag of 10
red chips, 15 blue chips,
and 5 black chips. How
many times would he
expect to pick a red chip if
he did the experiment 60
times?
A) 10
B) 20
C) 30
D) 45
PLEASE HELP THIS IS DUE TODAY
Answer:
B
Step-by-step explanation:
Marcus can expect to have red chip 20 times.
What is probability?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
Given that, Marcus has a bag of 10 red chips, 15 blue chips, and 5 black chips.
He did an experiment 60 times and we need to find that how many times would he expect to pick a red chip,
So,
Here the favorable outcomes = red chips (10)
Total outcomes = all the chips = 15+5+10 = 20
So, the probability of finding a red chips for the 60 times = 10/20 x 60
= 30
Hence, Marcus can expect to have red chip 20 times.
Learn more about probability, click;
https://brainly.com/question/30034780
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1. a. The equation of a straight line is 2y = 3x +4,
Find the gradient of this line,
Answer:
3/2
Step-by-step explanation:
2y = 3x + 4
y = (3/2)x + 2
^ ^ ^ ^
y = m x + c
m = 3/2
Education reform is one of the most hotly debated subjects on both state and national policymakers’ list of socioeconomic topics. Consider a linear regression model that relates school expenditures and family background to student performance in Massachusetts using 224 school districts. The response variable is the mean score on the MCAS (Massachusetts Comprehensive Assessment System) exam given to 10th graders. Four predictor variables are used: (1) STR is the student-to-teacher ratio in %, (2) TSAL is the average teacher’s salary in $1,000s, (3) INC is the median household income in $1,000s, and (4) SGL is the percentage of single-parent households. A portion of the data is shown in the accompanying table.
Score STR(%) TSAL(in $1000) INC(in $1000) SGL(%)
227.0 19.00 44.01 48.89 4.70
230.67 17.90 40.17 43.91 4.60
. . . . .
. . . . .
230.67 19.20 44.79 47.64 5.10
Required:
a. For each explanatory variable, discuss whether it is likely to have a positive or negative causal effect on Score.
b. Find the sample regression equation. Are the signs of the slope coefficients as expected?
c. What is the predicted score if STR = 18, TSAL = 50, INC = 60, SGL = 5?
d. What is the predicted score if everything else is the same as in part(c) except INC = 80?
Answer:
A:
STR= -
TSAL= +
INC=+
SGL=-
B:
231.89 - .50 - .02 + .29 -.88
B2:
STR=Y
TSAL=N
INC=Y
SGL=Y
C:
234.89
D:
240.69
Step-by-step explanation:
Simplify 45÷3[90÷45{6+3(19-16)}]
Step-by-step explanation:
45÷3[90÷45{6+3(19-16)}]45÷3[90÷45{6+3(3)}]45÷3[90÷45{6+9}]45÷3[90÷45{15}]45÷3 [90÷675][tex]\frac{\cancel{45}^\ {15}}{\cancel3} * \frac{6}{45}[/tex][tex] \cancel{15} × \frac{6}{\cancel{45}^\ {3}}[/tex]6/32[tex]\\\\\\[/tex]
The equation of [tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex] is 165.
What is PEMDAS rule?
PEMDAS exists as an acronym for the terms parenthesis, exponents, multiplication, division, addition, and subtraction.
How to simplify the equation of [tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex]?Given:
[tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex]
45/3 = 15
Simplifying the given equation, we get
[tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]=15\left[\frac{90}{45}+3(19-16)\right][/tex]
90 / 45 = 2
By simplifying the above equation, then we get
= 15[2 + 3(19 -16)]
By using the PEMDAS rule
15[2 + 3(19 -16)] = 11
[tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]= 15*11[/tex]
= 165
Therefore, the equation of [tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex] is 165.
To learn more about PEMDAS rule refer to:
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A ball is thrown from an initial height of 2 feet with an initial upward velocity of 21 fts. The ball's height h (in feet) after seconds is given by the following.
Answer:
h(t)=
h(t)=vt-21t+2
Step-by-step explanation:
initial height =2
initial velocity=21ft/s
dh/dt=v
dh=vdt
intergrating both sides
h(t)-h(i)=vt-v(i)t
h(t)-2=vt-21t
h(t)=vt-21t+2
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A) 40
B) 20
Step-by-step explanation:
By Length · Width · Height
A) (5) · (4) · (2) = 40
For part B, the length and width are the same, but the depth (height) of the water is only one foot, so we can replace the height value from the first equation with 1.
B) (5) · (4) · (1) = 20
Leo buys a new car for $17,600. The simple interest rate is 8.4% and the amount of loan (plus simple interest) is repayable in 5 years. What is the total amount that must be repaid?
Round your answer to the nearest dollar and do not round until the final answer.
Answer:
$24,992
Step-by-step explanation:
The equation for simple interest is I = PRT where I is the interest earned, P is the principal deposited/borrowed, R is the rate as a decimal, and T is time in years.
I = (17,600)(0.084)(5)
I = 7,392
The total amount that must be repaid is the interest + the principal:
7,392 + 17,600 = 24,992
Please let me know if you have questions
What is the area of the triangle?
Answer:
120
Step-by-step explanation:
since its a right-angled triangle you will use the formula:1/2 of the base × height
Answer:
[tex]120^{2}[/tex]
Step-by-step explanation:
Heron's formula
(for every triangle, you can use this same formula. just change the value of the letters)
a = 26
b = 10
c = 24
s = area
S = [tex]\sqrt{s(s - a)(s - b)(s - c)}[/tex]
S = [tex]\frac{(a+b+c)}{2}[/tex]