9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator does this very nicely.
__
The intercepts can be found by setting the other variable to zero and dividing by the coefficient of the variable of interest. This tells you the x-intercept is -2/3, and the y-intercept is -2/1 = -2. The y-intercept is conveniently on a grid point. To find other grid points on the line, it is convenient to choose integer values for x, then solve for y.
y = -3x -2
Positive values for y will require negative values of x.
I would appreciate if someone could answer this :)
Answer:
x = 3
Step-by-step explanation:
(-2 + 40x) + 62° = 180° (adjacent angles are supplementary)
-2 + 40x + 62 = 180
Add like terms
40x + 60 = 180
Subtract 60 from each side
40x + 60 - 60 = 180 - 60
40x = 120
Divide both sides by 40
40x/40 = 120/40
x = 3
If the length of a sea turtle is
directly proportional to its age,
and a 2-year old sea turtle is 3
inches long, how many feet long
is a 50-year old sea turtle?
Answer:
6.25ft
Step-by-step explanation:
nine of 20 people surveyed preferred chocolate ice cream to vanilla ice cream . what percentage prefered chocolate ice cream? what fraction prefered vanilla ive cream
Answer:
percent: 45%
fraction: 11/20
Step-by-step explanation:
There are 10 students in a
class. How many different
ways can they line up?

he Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of the Thomas Supply Company Inc. invoices. 13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82 Click here for the Excel Data File (Round your answers to 2 decimal places.) Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile
Answer:
30.5 ; 49 ; 27 ; 50 ; 45
Step-by-step explanation:
Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile
Given the ordered data :
13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82
Sample size, n = 30
The first quartile ;Q1
Q1 = 1/4(n+1)th term
Q1 = 31/4 = 7.75th term
Q1 = (29+32)/2
Q1 = 30.5
Q3 ;
Q3 = 3/4(n+1)th term
Q3 = 3(31)/4 = 23.25 th term
Q3 = (48 + 50) /2 = 49
2nd decile :
0.2 * (nth term
0.2 * 30 = 6th term = 27
8th decile :
0.8 * 30 = 24 th term
= 50
67th percentile :
0.67 * (n+1)th term
0.67 * 31 = 20.77
= (44 + 46) / 2
= 45
Romeo is chucking pebbles gently up to Juliet's window, and he wants the pebbles to hit the window with only a horizontal component of velocity. He is standing at the edge of a rose garden 4.5m below her window and 5.0m from the base of the wall. How fast are the pebbles going when they hit her window?
Answer:
4.45 m/s
Step-by-step explanation:
Vertical distance, Sy = 5m
The speed of pebble when they hit her window :
Vx = Sx / t
We can obtain t using the relation :
Sy = 1/2 * at²
Where, a = acceleration due to gravity = 9.8m/s²
We can obtain t
5 = 1/2 * 9.8 * t²
5 = 4.9t²
t = √5/4.9
t = 1.01 seconds
Hence,
Speed, Vx = Sx / t
Vx = 4.5 / 1.01
Vx = 4.45 m/s
If f(x) = 8x and g(x) = 2x +1 find (f o g) (x)
Answer:
(fog) (x) = 8*(2x+1)=16x+8
Step-by-step explanation:
BRAINIEST AND 10 POINTS
Answer:
16
Step-by-step explanation:
just use a calculator
find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 6.
Answer:
5
Step-by-step explanation:
2
Question
If the average (arithmetic mean) of x, y, and 24 is 10, what is the average of x and y?
02.
03
06
o It cannot be determined from the information given
Answer:
I don't know
Step-by-step explanation:
the answer is 0.2
The average of x and y is 03
How to determine the average?The average of the three numbers is given as:
Average = 10
This means that:
(x + y + 24)/3 = 10
Multiply both sides by 3
x + y + 24 = 30
Subtract 24 from both sides
x + y = 6
Divide by 2
(x + y) = 3
Hence, the average of x and y is 03
Read more about average and mean at:
https://brainly.com/question/20118982
#SPJ6
359
110"
350
Triangle A
Triangle B
Given the triangles above, what is the measure, in degrees, of angle x?
i think the answer is 35° because the triangles are congruent to each other
Suppose the probability of a false positive result on a mammogram is 7% and that radiologists' interpretations of mammograms are mutually independent in the sense that whether or not a radiologist finds a positive result on one mammogram does not influence whether or not a radiologist finds a positive result on another mammogram. Assume that a woman has one mammogram every year for ten years.
(a) What is the probability (as a %) that she will have no false positive results during that time?
(b) What is the probability (as a %) that she will have at least one false positive result during that time?
(c) What is the probability (as a %) that she will have exactly two false positive results during that time?
(d) Suppose that the probability of a false negative result on a mammogram is 3%, and assume that the probability that a randomly chosen woman has breast cancer is 0.0003.
(i) If a woman has a positive test result one year, what is the probability (as a %) that she actually has breast cancer?
(ii) If a woman has a negative test result one year, what is the probability (as a %) that she actually has breast cancer?
Answer:
a) 48.4%
b) 51.6%
c) 12.3%
d) i) 93.0% ii) 3.0%
Step-by-step explanation:
a)
P(fp) = probability of false positive result
P(fp) = 0.07
P(fp = 0) = (1 - 0.07)¹⁰
P(fp = 0) = 0.4839... ⇒ 48.4%
b)
P(fp = 1) = 1 - 0.4839...
P(fp = 1) = 0.516... ⇒ 51.6%
c)
P(fp = 2) = 10C2(0.07)²(0.93)⁸
P(fp = 2) = 0.123... ⇒ 12.3%
d)
P(fn) = probability of false negative
P(b) = probability a randomly selected woman has breast cancer
P(fn) = 0.03
P(b) = 0.0003
If she has a positive test, it is either a true positive, meaning she actually has breast cancer, or a false positive, meaning she doesn't;
If P(fp) = 0.07, then the probability of a true positive is 0.93 or 93%
ii)
If she has a negative test, a true negative means she doesn't have breast cancer, and a false negative means she does have breast cancer;
The probability of a false negative is 0.03 or 3%
(I'm not entirely sure about part d, but I've answered as I've understood it according to my logic, they seem to be somewhat trick questions unless I've incorrectly understood the questions)
Look at ZV SW and ZTSW in the image below.
Which of the following is the best description for this pair of angles?
O acute
O complementary
O straight
supplementary
Answer:
Supplementary is your answer
The total cost c a roof technician charges to fix a sink in a house depends on the number h of hours it takes to assess the damages to the roof and repair the roof. This situation can be represented by the function rule 32h + 145. What is the total cost the roofer will charge if he works for 19.25 hours?
Answer:
I believe it is 761 is the cost the roofer will charge.
Step-by-step explanation:
First: Multiply 32 with 19.25 (standing for h), which equals to 616.
Second: Add 616 with 145, which adds up to 761.
A woodworker is creating arms for a bench. If the helght of the bench's back is 3 feet tall and the width of the bench's seat Is 1 foot long, what is the length of the arm?
Answer:
√10 feet ≈ 3.2ft
Step-by-step explanation:
If the helght of the bench's back is 3 feet tall and the width of the bench's seat Is 1 foot long, the length of the arm will be gotten using the pythagoras theorem;
Let l be the required length, Hence;
l² = 3² + 1²
l² = 9 + 1
l² = 10
Square root both sides
√l² = √10
l = √10 feet
Hence the length of the arm is √10 feet
what is the best teaching learning material in mathematics for kids?
Answer:
Step-by-step explanation:
Dice, cards, spinners and the like are interactive and engaging math aids to get children involved in learning about probability, chance, number patterns and statistics.
Write 95% as a fraction in simplest form
Answer:
19/20
Step-by-step explanation:
95%/100=0.95
=95/100
simplified
19/20
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\text{95\% as a fraction}[/tex]
[tex]\large\text{We know percentages runs out of 100, so we first divide 95} \\\large\text{from 100 and answer that one to actually solve for your answer}[/tex]
[tex]\mathsf{\dfrac{95}{100}}[/tex]
[tex]\boxed{\mathsf{= \bf 0.95}}\large\checkmark[/tex]
[tex]\mathsf{\dfrac{0.95}{1}\times\dfrac{100}{100}}[/tex]
[tex]\large\text{CROSS MULTIPLY}[/tex]
[tex]\mathsf{\dfrac{0.95\times100\leftarrow \bold{numerator}}{1\times100\leftarrow \bold{denominator}}}}[/tex]
[tex]\mathsf{0.95\times100 = \boxed{\bf 95}}\large\checkmark[/tex]
[tex]\mathsf{1\times100=\boxed{\bf 100}}\large\checkmark[/tex]
[tex]\large\text{NEW EQUATION: }\mathsf{\dfrac{95}{100}}[/tex]
[tex]\large\text{FINALLY we simplify the fraction}[/tex]
[tex]\large\text{Each of your numbers are factors of 5, so we divide both numbers by 5}[/tex]
[tex]\mathsf{\dfrac{95\div5}{100\div5}}[/tex]
[tex]\mathsf{95\div 5 = \boxed{\bf 19}\large\checkmark\leftarrow \underline{numerator}}[/tex]
[tex]\mathsf{100\div5 = \boxed{\bf 20}\large\checkmark\leftarrow \underline{denominator}}[/tex]
[tex]\boxed{= \mathsf{\bf\dfrac{19}{20}}}\huge\checkmark[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: }\mathsf{\bf \dfrac{19}{20}}}} \huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
help meeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
25/33
Step-by-step explanation:
- 1 2/3 ÷ - 2 1/5
Change to improper fractions
-(3*1+2)/3 ÷ -(5*2+1)/5
-5/3÷11/5
Copy dot flip
-5/3 * -5/11
25/33
Mary needs a laptop. She decided to barrow one on hire purchase. The marked price of the laptop $100, 200 and she had to pay a deposit of 10% of the marked price. If the total hire purchase price of the laptop is $142, 020 after a 5 year payment plan, how much was Mary’s monthly payments?
Answer:
2, 367
Step-by-step explanation:
142,020 / 5 = 28, 404
28, 404 / 12 = 2, 367
Bob has a box of chocolate.. containing 6 chocolate covered almonds, a chocolate coverud peanuts and 8 plain chocolate, If the chocolates look identical, what is the probability that the first two chocolates Bobcats will have almonds
Answer:
(2/1) indicates that the question can give a maximum ... To make chocolate for bars and candies, cocoa powder, cocoa butter and sugar ... if it contains 70 % cocoa? ... The figure shows 5 squares, each with the same area. ... a) How many grams of dark chocolate does she need if she wants to make ... makes 8 small harts.
Step-by-step explanation:
\int\limits^0_∞ cos{x} \, dx
Answer:
[tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty)[/tex]
General Formulas and Concepts:
Pre-Calculus
Unit CircleTrig GraphsCalculus
LimitsLimit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]IntegralsIntegration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]Trig IntegrationImproper IntegralsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx[/tex]
Step 2: Integrate
[Improper Integral] Rewrite: [tex]\displaystyle \lim_{a \to \infty} \int\limits^0_a {cos(x)} \, dx[/tex][Integral] Trig Integration: [tex]\displaystyle \lim_{a \to \infty} sin(x) \bigg| \limits^0_a[/tex][Integral] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle \lim_{a \to \infty} sin(0) - sin(a)[/tex]Evaluate trig: [tex]\displaystyle \lim_{a \to \infty} -sin(a)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle -sin(\infty)[/tex]Since we are dealing with infinity of functions, we can do a numerous amount of things:
Since -sin(x) is a shift from the parent graph sin(x), we can say that -sin(∞) = sin(∞) since sin(x) is an oscillating graph. The values of -sin(x) already have values in sin(x).Since sin(x) is an oscillating graph, we can also say that the integral actually equates to undefined, since it will never reach 1 certain value.∴ [tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty) \ or \ \text{unde}\text{fined}[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Improper Integrals
Book: College Calculus 10e
6th work. What measure of Central tendency is calculated by adding all the values and diving the sum by the number of values
A) Median
B) Mean
C) Mode
D) Range
Which equation has the following: Center (0, -3) and radius [tex]\sqrt{11}[/tex]
Answer:
The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Center (0, -3)
This means that [tex]x_0 = 0, y_0 = -3[/tex]
Radius square root of 11
This means that [tex]r = \sqrt{11}[/tex]
Equation of the circle:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x - 0)^2 + (y - (-3))^2 = (\sqrt{11})^2[/tex]
[tex]x^2 + (y + 3)^2 = 11[/tex]
The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]
Can someone explain why we need to add the sides - 300+300+55+55+315+315 to get the answer 1340 for finding the perimeter for the diagram?
Answer:
Step-by-step explanation:
Solution :-
we know that,
Area of a ∆ with sides a, b , c and semi- perimeter s is √[s * (s - a) * (s - b) * (s - c)] .
semi - perimeter = (a + b + c)/2 .
given sides of triangular field are 55m, 300m and 300m..
So,
→ s = (55 + 300 + 300) / 2 = 327.5m.
Than,
→ Area of triangular field = √[327.5 * (327.5 - 55) * (327.5 - 300) * (327.5 - 300)] = √[327.5 * 272.5 * 27.5 * 27.5] = 27.5√(327.5 * 272.5) = 27.5 * 298 = 8195 m².
Now given that,
→ Area of triangular field = (7/15)th area of circular park.
So,
→ 8195 = (7/15) * Area of circular park.
→ (8195 * 15)/7 = Area of circular park.
→ Area of circular park = 17560.7 m².
Therefore,
→ πr² = 17560.7
→ (22/7) * r² = 17560.7
→ r² = (17560.7 * 7) / 22
→ r = 74.74 m.
Hence,
→ Perimeter of the circular Park = 2πr = 2 * (22/7) * 74.74 = (3288.56)/7 = 469.8m. (Ans.)
Hope this answer helps you :)
Have a great day
Mark brainliest
a variable for which no data have been collected but has influence on other variables in the study.
Answer:
Confounding variable
Step-by-step explanation:
Confounding variables also known as lurking or third variable are varibeks which causes an unwanted or spurious association between an independent and dependent variable. This Confounding variable usually has a relationship between not the independent and dependent variable and if not adequately managed or corrected for, they may cause a relationship which is not intended thereby interfering with the outcome of our research. Such is the correlation between ice cream sale and murder rate.
Given the function, check all transformations that occurred from the graph of the function y=x^2
Answer: left 7 units, up 4 units, and vertical compression
Step-by-step explanation:
Given
The function is [tex]y=x^2[/tex]
First shift it to the left by 7 units, so the function becomes
[tex]y=(x+7)^2[/tex]
Now compress it to make it one-third
[tex]y=\dfrac{1}{3}(x+7)^2[/tex]
Now, sift the graph upward by 4 units
[tex]y=\dfrac{1}{3}(x+7)^2+4[/tex]
Thus , the conditions are left 7 units, up 4 units, and vertical compression.
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.9 years with a standard deviation of 0.9 years. Step 1 of 2 : If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the mean of the sampling distribution of sample means
Answer:
5.9 years.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes 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.
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 question:
Mean of the population is [tex]\mu = 5.9[/tex]
If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the mean of the sampling distribution of sample means?
By the Central Limit Theorem, the same population mean, of 5.9 years.
List the coefficients in the row of Pascal's triangle corresponding to n = 7.
9514 1404 393
Answer:
1 7 21 35 35 21 7 1
Step-by-step explanation:
Numbering from k=0 to k=7, the k-th coefficient in the row is ...
C(7, k) = 7!/(k!(7-k)!)
You know the first two in row 7 are 1 and 7. There are 8 in the row, and the row is the same forward and backward. This means you only need to find C(7, 2) and C(7, 3). These are ...
C(7, 2) = 7!/(2!(5!)) = 7·6/(2·1) = 21
C(7, 3) = 7!/(3!(4!)) = 7·6·5/(3·2·1) = 35
So, row 7 is ...
1, 7, 21, 35, 35, 21, 7, 1
If cotangent of theta is < 0, in which quadrant(s) could the terminal side of
angle theta lie?
Q2 and Q4
02 and 03
Q3 only
04 only
Answer:
Q2 and Q4
Step-by-step explanation:
Trigonometric functions and quadrants:
In x is in the first quadrant, cos(x) > 0 and sin(x) > 0.
In x is in the second quadrant, cos(x) < 0 and sin(x) > 0.
In x is in the third quadrant, cos(x) < 0 and sin(x) < 0.
In x is in the fourth quadrant, cos(x) > 0 and sin(x) < 0.
Cotangent:
The cotangent is the cosine divided by the sine.
Cotangent negative, which quadrants?
It is negative when sine and cosine have opposite signals. So in the second and the fourth quadrant, that is, Q2 and Q4.
Please help I can't figure it out
Answer:
61.2%
Step-by-step explanation:
Let's start by finding the total area of the circle
it says that the radius is 4 so the total area is 16π
Then let's find the area of the traingle
The hieght is 6.5 and the base is 6
.5*6.5*6=19.5
Let's then find the white area
16π-19.5=30.765
Finally we just have to do (30.765/16π)= 61.2%
