Answer
Rosa has 45 stickers.
Explanation
Anna is said to have 15 stickers.
Rosa is said to have 3 times as many stickers as Anna.
Rosa's stickers = 3 × 15 = 45 stickers.
Dawn has 3 times as many stickers as Rosa.
Dawn's stickers = 3 × 45 = 135 stickers.
Sara has 17 fewer stickers as Dawn.
Sara's stickers = 135 - 17 = 118 stickers.
Hope this Helps!!!
13. Write an equation of the line that passes through the points (-7, 6) and (3, -4 )in slope-
intercept form.
Answer:
Firstly we need to find the gradient of give two points as follows;
M= y
Answer:
Answer: y = -x - 1
Step-by-step explanation:
- Consider a straight line passing through (x, y) from the origin (0, 0). That line with a positive gradient of m and meets at a point (0, c) [y-intercept]
- It has a general equation as below;
\({ \rm{y = mx + c}} \\ \)
- So, consider the line given in our question; Let's find its slope m first;
\({ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \)
- From the points given in the question, (-7, 6) and (3, -4)
x_1 is -7x_2 is 3y_1 is 6y_2 is -4\({ \rm{m = \frac{ - 4 - 6}{3 - ( - 7)} }} \\ \\ { \rm{m = \frac{ - 10}{10} }} \\ \\ { \underline{ \rm{ \: m = - 1 \: }}}\)
- Therefore, our equation so far is y = -x + c. Our line has a negative slope that means it slants from top to bottom, its origin is its y-intercept
- Consider point (3, -4);
\({ \rm{y = - x + c}} \\ { \rm{ - 4 = - 3 + c}} \\ { \rm{c = - 1}}\)
- y-intercept is -1
hence equation is y = -x - 1
\({ \boxed{ \delta}}{ \underline{ \mathfrak{ \: \: beicker}}}\)
Determine the number of real solutions to the quadratic equation -9m^2-8m-3=0
Step-by-step explanation:
Let's solve your equation step-by-step.
−9m2−8m−3=0
For this equation: a=-9, b=-8, c=-3
−9m2+−8m+−3=0
Step 1: Use quadratic formula with a=-9, b=-8, c=-3.
m=
−b±√b2−4ac
2a
m=
−(−8)±√(−8)2−4(−9)(−3)
2(−9)
m=
8±√−44
−18
Answer:
No real solutions.
The given equation has no real solutions.
We have given that the quadratic equation
\(-9m^2-8m-3=0\)
For this equation: a=-9, b=-8, c=-3
\(-9m^2-8m-3=0\)
Step 1: Use quadratic formula with a=-9, b=-8, c=-3.
What is the formula for the quadratic roots?\(x=\frac{-b \±\sqrt{b^2-4ac}} {2a}\)
Therefore we have,
\(x=\frac{-b \±\sqrt{b^2-4ac}} {2a}\)
\(x=\frac{-(-8)\±\sqrt{(-8)^2-4(-9)(-3)} }{2(-9)}\)
\(x=-\frac{4}{9} -i\frac{\sqrt{11} }{9}\) and \(x=-4/9+i\frac{\sqrt{11} }{9}\)
This equation has no real solutions.
To learn more about the quadratic equation visit:
https://brainly.com/question/1214333
The radius of a circle is 5 meters. What is the length of a 45° arc?
Answer:
Step-by-step explanation:
m is directly proportional to r squared when r=2 m=14 work out the value of r when m = 224
Answer:
32
Step-by-step explanation:
r:m
2:14
1:7
m=224
r=224 divided by 7
224/7=32
Edit: unless it is proportional to r^2 in which case it is a different answer
Answer:
m=504
Step-by-step explanation:
determine whether each of the following formulas is a tautology, contingency, or contradiction (this means always true, sometimes true, never true). show how you arrived at each answer. use equivalence-style proofs.
From the given formulas, formula A is a tautology or always true. Formula B is a contradiction or never true. And, formula C is contingency or sometimes true.
Using the truth table, a given expression is said to be in tautology when all the values are true. The given expression is said to be a contradiction when all the values are false or never true. And the given expression is said to be contingency when the values are either true or false.
In the given formulas, formula A (p→q)∨(q→r) is a tautology. This is because the values in all rows are true (T).
In the given formulas, formula B (¬(¬(p∧q)→(p→¬q))) is a contradiction. This is because the values in all rows are false (F).
In the given formulas, formula C ((¬p∨q)→q) is a contingency. This is because some values are true and some are false.
The complete question is -
Determine whether each of the following formulas is a tautology, contingency, or contradiction (this means always true, sometimes true, never true). Show how you arrived at each answer. Use equivalence-style proofs.
A. (p→q)∨(q→r)
B. ¬(¬(p∧q)→(p→¬q))
C. ((¬p∨q)→q)
To know more about the truth table:
https://brainly.com/question/30221193
#SPJ4
Which relation is a function?
Answer:
A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
Step-by-step explanation:
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
help me understand whts happening here
Answer:
No
Step-by-step explanation:
The ratios are not common
Answer:
No
Step-by-step explanation:
the ratios are not common.
The average snail can move 1.81 X 10³ mi in 5 hours. What is its rate of speed in miles per hour?
Answer:
Step-by-step explanation:
How Far Can A Snail Travel In One Hour
If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.
Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.
This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.
Can anyone help me on this question? Thank you so much! ( ¿Alguien puede ayudarme con esta pregunta? ¡muchas gracias! )
Answer:
3 cups of milk are required for each cup of flour.
Answer:
3 cups of milk
Step-by-step explanation:
1 cup divided by a 1/2 cup is 2.
1 1/2 cups multiplied by 2 is 3 cups.
I really need to know how to solve this type of problems
Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.
How to calculate the quantity of shirts that are red.?The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts
The total quantity of red shirt selected at random = 5
The total quantity of blue shirt selected at random = 13
The total quantity of grey shirt selected at random = 12
Total selected at random = 30
Now if 5 red shirts = 30
X red shirts = 250
make X the subject of formula;
X = 15× 250/30
X = 3750/30
X = 125 red shirts.
Learn more about random sampling here:
https://brainly.com/question/24466382
#SPJ1
which statement is false:
STATEMENT 1: All rational numbers are whole numbers.
STATEMENT 2: All whole numbers are rational numbers.
Answer: Statement 1 is false.
Step-by-step explanation: 1 is false because all natural numbers, whole numbers, and integers are rationals.
1. Rosa was hiking near the Dead Sea. She began her hike at an elevation of -600 feet and ended the hike at 92 feet. What was the change in her elevation
Change in Rosa's elevation from starting to end of her hike is 692 feet.
What is elevation in a hike?
Elevation is the height of hiker above the sea level at any point of the hike.
At the starting of the hike , Rosa was at an elevation of = -600feet
At the ending of the hike, Rosa is at an elevation of = 92 feet
Change in elevation = final elevation - initial elevation
= 92-(-600) = 692 feet
Learn more about the elevation in a hike at
https://brainly.com/question/5370770
#SPJ1
The graph shows the distribution of the number of text messages young adults send per day.
A graph titled daily text messaging has number of text on the x-axis, going from 8 to 248 in increments of 30. Data is distributed normally. The highest point of the curve is at 128.
Which statement describes the distribution?
A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.
B) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 30 messages.
C) The distribution is approximately Normal, with a mean of 30 messages and a standard deviation of 128 messages.
D) The distribution is uniform, with a mean of 128 messages and a standard deviation of 30 messages.
The statement that describes the distribution based on the given information is:
A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.
The statement that describes the distribution based on the given informationThe graph shows a normal distribution, as indicated by the shape of the curve. The highest point of the curve (the peak) is at 128, which represents the mean of the distribution.
The standard deviation measures the spread of the data, and based on the information given, it is 98. Therefore, option A accurately describes the distribution.
Learn more about standard deviation at https://brainly.com/question/475676
#SPJ1
Give five elements of the following sets.
A = {different land forms}
B = {x/x is a prime number greater than 20 but less than 50}
C = {even number less than 20}
D = {fraction less than 1}
E = {noun that starts with letter "a"}
Answer:
Find the answer below.
Step-by-step explanation:
1. A = {mountain, valley, plateau, plains and hills}
A landform refers to a geomorphic or natural feature of the Earth's surface, which typically makes its terrain.2. B = {23, 29, 31, 37 and 41}
A prime number can be defined as any number that is greater than one (1) and can only be divided by itself or one (1). In this case, they are greater than 20 but less than 50.3. C = {2, 4, 8, 10 and 12}
An even number can be defined as any number that can be divided by two (2) without any remainder. In this instance, they should be between one (1) and twenty (20).4. D = {2/3, 1/2, 3/4, and 1/5}
A fraction that is less than one (1) refers to a proper fraction. Therefore, proper fractions must have the value of their numerator to be less than the value of their denominator.5. E = {ant, angel, angle, anaconda, and ark}
A noun can be defined as the name of any place, people, animal or things. In this context, the nouns should all start with the letter "a."Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number
The phrase that represents the algebraic expression n - 4 is option b four less than a number.
Given,
The algebraic expression; n - 4
We have to find the phrase that represents the given algebraic expression.
Algebraic expression;
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
An algebraic expression can be categorized into different categories depending on how many terms it contains: polynomial, quadrinomial, trinomial, monomial, and binomial.
So,
n - 4
That is,
4 is less than from a number
Therefore,
The phrase that represents the algebraic expression n - 4 is option b four less than a number.
Learn more about algebraic expression here;
https://brainly.com/question/5064298
#SPJ1
Answer:
the answer is b
Step-by-step explanation:
Find "n" if the Standard Error of Mis 4 and the population standard deviation is 16.
Given:
Standard error = 4
Population standard deviation = 16
To find:
The value of n.
Solution:
The formula of standard error is:
\(SE=\dfrac{\sigma}{\sqrt{n}}\)
Where, SE is standard error , \(\sigma\) is population standard deviation and n is the total number of elements.
Substituting \(SE=4,\sigma=16\) in the above formula, we get
\(4=\dfrac{16}{\sqrt{n}}\)
\(\sqrt{n}=\dfrac{16}{4}\)
\(\sqrt{n}=4\)
Taking square on both sides, we get
\(n=4^2\)
\(n=16\)
Therefore, the value of n is 16.
What is the area of a rectangle that is 4 inches by 2 inches?
Answer:
8 square inches
Step-by-step explanation:
The formula for are is A=wl if we plug our numbers in we have A=4x2=8 In other terms we now know A=8
what are the 3 type of trangle
Answer:
Step-by-step explanation:
There one more in fact:
Scalene. Isosceles. Equilateral. Right Angled triangle.
Ps. All triangle angles add up to 180 degrees!
Neon (Ne), hydrogen (H), helium (He), and Carbon (C) are examples of...
a. Compounds- you can tell because they all have chemical formulas
b. Mixtures- because they don't have definite compositions
c. Elements- you can tell because they can be found on the periodic table
Neon (Ne), hydrogen (H), helium (He), and Carbon (C) are examples of; C: elements you can tell because they can be found on the periodic table
What are the chemical elements?
Elements are pure substances which are composed of only one type of atom. Compound are substances which are formed by two or more different types of elements that are united chemically in fixed proportions.
Now, Neon (Ne), hydrogen (H), helium (He), and Carbon (C) are examples of elements. This is because they are all composed of only one type of atom and they can as well be found in the periodic table that contains only elements.
Read more about Chemical Elements at; https://brainly.com/question/10892900
#SPJ1
The census is a survey of the population that gathers various details about individuals, such as age. This survey observed
that 155 out of every 200 people were 18 years old or older, Determine the probability of randomly selecting a person that
was 18 years old or older,
Express your answer as a fraction,
Answer:
31/40
Step-by-step explanation:
Just simplify the fraction
Answer:
31/40
Step-by-step explanation:
Simplify
The table shows the amount of money that Sarah charges customers to sell newspapers. The table represents a linear functions.
Question 10 options:
Sarah charges $5 before she begins selling newspapers
Sarah does not charge her costumers unless she has sold newspapers for at least 2 hours
Sarah charges $5 an hour to sell newspapers
Sarah earns 7$ for 1 hours of work
Figured it out, It's the 1st answer, Sarah charges $5 before she begins
The linear function y = 2x + 5 shows that Sarah charges $5 as fixed amount before she begins selling newspapers.
The table representing amount of money which Sarah charges her customers to sell newspapers.
Let us consider 'x' represents the time per hour charges taken by Sarah from customers.
In the table,
For zero hours charges are $5.
It means Fixed charges taken by Sarah to sell newspaper.
Difference between the rate per hour is,
$7 - $5 = $2
$9 - $7 = $2
It represents for Sarah charges $2 per hour.
let us consider 'y' that represents total amount charges by Sarah.
Required linear function for selling news paper and charging amount is
y = $5 + 2x
⇒ y = 2x + 5
Therefore, the linear function y = 2x + 5 represents option 1. Sarah charges $5 before she begins selling newspapers.
learn more about linear function here
brainly.com/question/28589386
#SPJ1
Many fire stations handle emergency calls for medical assistance as well as calls requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.63. This can be expressed as
P(call is for medical assistance) = 0.63.
(b) What is the probability that a call is not for medical assistance?
(c) Assuming that successive calls are independent of one another, calculate the probability that two successive calls will both be for medical assistance.
(d) Still assuming independence, calculate the probability that for two successive calls, the first is for medical assistance and the second is not for medical assistance.
(e) Still assuming independence, calculate the probability that exactly one of the next two calls will be for medical assistance. (Hint: There are two different possibilities. The one call for medical assistance might be the first call, or it might be the second call.)
(b) The probability that the call is not for medical assistance = 0.37
(c) The probability that two successive calls will both be for medical assistance = 0.3969
(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331
(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662
Define Probability.The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:
Probability (Event) = Positive Results/Total Results
= x/n
Given P (call for medical assistance) = 0.63
This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:
P (Not Medical Assistance) = 1 - P (Medical Assistance)
= 1 - 0.63
= 0.37
Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:
P (2 calls for medical assistance)
= 0.63 × 0.63
= 0.3969
The probability that the first is for medical assistance and the second is not for medical assistance will be:
P (1st for medical assistance × 2nd for not medical assistance)
= 0.63 × 0.37
= 0.2331
The probability that exactly one of the next two calls is going to be for medical assistance will be:
P (Exactly 1 call for medical assistance)
= (0.63×0.37) + (0.63×0.37)
= 0.2331 + 0.2331
= 0.4662
To know more about probability, visit:
https://brainly.com/question/30034780
#SPJ1
Using a weighted moving average with weights of 0.6, 0.3 and 0.1 calculate the MAE/MAD. The weights are stated from the most current time period to the oldest time period. Month Jobs March 353 April 387 May 342 June 374 July 396 August 409 September 399 October 412 November 408 O 14.3 O 19.35 O 433.59 O 85.8
The MAE/MAD is 12.1.
To calculate the weighted moving average, we use the formula:
WMA = (w1 * y1 + w2 * y2 + w3 * y3) / (w1 + w2 + w3)
where:
w1, w2, w3 are the weights for the most recent to the oldest time periods
y1, y2, y3 are the values for the most recent to the oldest time periods
Using the weights of 0.6, 0.3, and 0.1, we can calculate the weighted moving averages for each month:
April: WMA = (0.6 * 387 + 0.3 * 353 + 0.1 * 342) / (0.6 + 0.3 + 0.1) = 372.5
May: WMA = (0.6 * 342 + 0.3 * 387 + 0.1 * 353) / (0.6 + 0.3 + 0.1) = 360.1
June: WMA = (0.6 * 374 + 0.3 * 342 + 0.1 * 387) / (0.6 + 0.3 + 0.1) = 361.2
July: WMA = (0.6 * 396 + 0.3 * 374 + 0.1 * 342) / (0.6 + 0.3 + 0.1) = 383.7
August: WMA = (0.6 * 409 + 0.3 * 396 + 0.1 * 374) / (0.6 + 0.3 + 0.1) = 397.3
September: WMA = (0.6 * 399 + 0.3 * 409 + 0.1 * 396) / (0.6 + 0.3 + 0.1) = 400.5
October: WMA = (0.6 * 412 + 0.3 * 399 + 0.1 * 409) / (0.6 + 0.3 + 0.1) = 406.6
To calculate the Mean Absolute Error (MAE) or Mean Absolute Deviation (MAD), we use the formula:
MAE/MAD = (|y1 - y'| + |y2 - y'| + ... + |yn - y'|) / n
where:
y1, y2, ..., yn are the actual values for each time period
y' is the forecasted value for each time period
n is the total number of time periods
Assuming that the forecasted values are the weighted moving averages, we can calculate the MAE/MAD as follows:
MAE/MAD = (|387 - 372.5| + |342 - 360.1| + |374 - 361.2| + |396 - 383.7| + |409 - 397.3| + |399 - 400.5| + |412 - 406.6|) / 7
= 12.1
Therefore, the MAE/MAD is 12.1.
To learn more about Mean Absolute refer to:
brainly.com/question/10528201
#SPJ4
What is the area of the base of the prism?
Answer:
24
Step-by-step explanation:
8 x 3 = 24
Your two given side lengths are 8 as your width.
3 as your length.
We multiply them together to get the area of the rectangle(base).
You want to go to graduate school, so you ask your math professor, Dr. Emmy Noether, for a letter of recommendation. You estimate that there is a 80% chance that you will get into a graduate program if you receive a strong recommendation, a 60% chance that you will get into a graduate program if you receive a moderately good recommendation, and 5% chance that you will get into a graduate program if you receive a weak recommendation. Furthermore, you estimate that the probabilities that a recommendation will be strong, moderately good, and weak are 0.7, 0.2, and 0.1, respectively. Based on these estimates, what is the probability that you will get into a graduate program. Given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation? Suppose you didn't receive an offer to attend a graduate program. Given that, what is the probability that you received a moderately good recommendation?
Answer:
a
\(P(G) = 0.69\)
b
\(P(S | G) = 0.81\)
c
\(P(M|G') = 0.26\)
Step-by-step explanation:
From the question we are told the
The probability of getting into getting into graduated school if you receive a strong recommendation is \(P(G |S) = 0.80\)
The probability of getting into getting into graduated school if you receive a moderately good recommendation is \(P(G| M) = 0.60\)
The probability of getting into getting into graduated school if you receive a weak recommendation is \(P(G|W) = 0.05\)
The probability of getting a strong recommendation is \(P(S) = 0.7\)
The probability of receiving a moderately good recommendation is \(P(M) = 0.2\)
The probability of receiving a weak recommendation is \(P(W) = 0.1\)
Generally the probability that you will get into a graduate program is mathematically represented as
\(P(G) = P(S) * P(G|S) + P(M) * P(G|M) + P(W) * P(G|W)\)
=> \(P(G) = 0.7 * 0.8 + 0.2 * 0.6 + 0.1 * 0.05\)
=> \(P(G) = 0.69\)
Generally given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation is mathematically represented as
\(P( S|G) = \frac{ P(S) * P(G|S)}{ P(G)}\)
=> \(P(S|G) = \frac{ 0.7 * 0.8 }{0.69}\)
=> \(P(S | G) = 0.81\)
Generally given that you didn't receive an offer to attend a graduate program the probability that you received a moderately good recommendation is mathematically represented as
\(P(M|G') = \frac{ P(M) * (1- P(G|M))}{(1 - P(G))}\)
\(P(M| G') = \frac{ 0.2 * (1- 0.6)}{ (1 - 0.69)}\)
\(P(M|G') = 0.26\)
You draw a rectangle with vertices at (-3.5,3), (3.5,3), (3.5,-3), and (-3.5,-3).
What is the perimeter and area of the rectangle?
The perimeter and the area of the rectangle are 26 units and 42 square units, respectively.
What is a rectangle?A rectangle is a quadrilateral with all four interior angles 90°.
Given that, the vertices of the rectangle are (-3.5,3), (3.5,3), (3.5,-3), and (-3.5,-3).
The length of the rectangle is:
l = 3.5 - (-3.5)
l = 3.5 + 3.5
l = 7
The width of the rectangle is:
w = 3-(-3)
w = 3 + 3
w = 6
The perimeter of the rectangle is given by:
P = 2 (l +w)
P = 2(7 + 6)
P = 26
The area of the rectangle is:
A = l × w
A = 7 × 6
A = 42
Hence, the perimeter and the area of the rectangle are 26 units and 42 square units, respectively.
Learn more on rectangles here:
https://brainly.com/question/15019502
#SPJ1
4.0 = (0.40+ x)²/(0.15 - x)^2
solve for x
Answer:
-0.03334
Step-by-step explanation:
i just graphed it and looked at were y=4 and gave you the x value
:)
Answer:
x1 = -0.0333333, x2=0.7
Find the missing angle and side measures of Delta*ABC , given that
m angle A = 50 deg , m angle C = 90 deg , and CB = 16
The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.
To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.
Given:
∠A = 50°
∠C = 90°
CB = 16
We can start by finding the measure of ∠B:
∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)
50° + ∠B + 90° = 180°
∠B + 140° = 180°
∠B = 180° - 140°
∠B = 40°
Now, using Sine law
CB/ sin A = AB / sin C
16 / sin 50 = AB / sin 90
16 / 0.766044 = AB
AB = 12.25
Again 12.25 = AC/ sin B
12.25 = AC / sin 40
AC = 19.068
Learn more about sine law here:
https://brainly.com/question/13098194
#SPJ1
Determine the unknown angle measures in the figure.
1=
2=
3=
4=
5=
PLEASE HELP, 17 POINTS!!!
And if you say some weird answer or put a link ill report :)
Answer:
Angle 5 = 180 - (31 + 49) - 63 = 37 degrees
Angle 1 = 180 - (63 + 37) = 80 degrees
Angle 4(vertical to angle 1) = 80 degrees
Angle 2 = 180 - 31 - 37 = 112 degrees
Angle 3 = 180 - 49 = 131 degrees
P.S.
You can just report absurd answers, they get deleted fast. Don't put the passive-aggressive threat thing on the end, its a bit unappealing.
Hope it helps, and lmk if you need further explanation! :)
1)80°
2)112°
3)131°
4)80°
5)37°