Answer:
The measure of the smallest angle is 30º
Step-by-step explanation:
Let the angles be:
[tex]x \to[/tex] the first angle (the smallest)
[tex]y \to[/tex] the second angle
[tex]z \to[/tex] the third angle
So, we have:
[tex]y = 2x[/tex]
[tex]z=x + 60[/tex]
Required
Find x
The angles in a triangle is:
[tex]x + y +z = 180[/tex]
Substitute values for y and z
[tex]x + 2x +x + 60 = 180[/tex]
[tex]4x + 60 = 180[/tex]
Collect like terms
[tex]4x = 180-60[/tex]
[tex]4x = 120[/tex]
Divide by 4
[tex]x = 30[/tex]
A regression analysis between sales (in $1000s) and price (in dollars) resulted in the following equation: ŷ = 50,000 − 8x The above equation implies that an increase of _____. a. $8 in price is associated with an increase of $8,000 in sales b. $1 in price is associated with a decrease of $8,000 in sales c. $1 in price is associated with a decrease of $42,000 in sales d. $1 in price is associated with a decrease of $8 in sales
Answer:
b. $1 in price is associated with a decrease of $8,000 in sales
Step-by-step explanation:
Linear function:
A linear function has the following format:
[tex]y = mx + b[/tex]
In which m is the slope, which represents by how much y changes when x changes by 1.
ŷ = 50,000 − 8x
This means that [tex]m = -8[/tex], in thousands of dollars, so when the price x increases by 1, the sales will be decrease by $8,000, and thus, the correct answer is given by option b.
The equation implies that an increase (b) $1 in price is associated with a decrease of $8,000 in sales
The regression equation is given as:
[tex]\^y= 50000 - 8\^x[/tex]
A linear regression equation is represented as:
[tex]\^y= b_o+ b_1\^x[/tex]
Where:
b1 represents the slope or the unit rate of the equation
By comparison:
[tex]b_1 =-8[/tex]
Because the value of b1 is negative;
Then it means that, the unit rate represents a decrement
Hence, the equation implies that (b) $1 in price is associated with a decrease of $8,000 in sales
Read more about regression equations at:
https://brainly.com/question/25987747
6. Tax: If sales tax is figured at 7.25%, how
much tax will be added to the total purchase
price of three textbooks, priced at $25.00,
$35.00, and $52.00?
Answer:
$8.12
Step-by-step explanation:
1. Looking at the questionThe question says tax will be added to the total purchase price, so not each of them individually.
Prices: $25, $35, $52
Tax rate: 7.25%
2. Solving[tex]25+35+52=112[/tex]
Percent to decimal = x/100
[tex]7.25[/tex]÷[tex]100=0.0725[/tex]
[tex]0.0725[/tex]·[tex]112=8.12[/tex] (this is the tax)
Hope this helped! Please mark brainliest :)
Answer:
1.81,2.54,3.77
Total
8.12
Step-by-step explanation:
To find the tax, multiply the original amount by the tax rate
tax
25 * 7.25%
25 *.0725
Rounding to the nearest cent
1.81
35 * 7.25%
35 *.0725
Rounding to the nearest cent
2.54
52 * 7.25%
52 *.0725
Rounding to the nearest cent
3.77
Total for all three
1.81+2.54+3.77=8.12
Name some real-life situations where graphing could be useful. Discuss your ideas. Name some real-life situations where finding the coordinates of the midpoint of a line segment could be useful.
Answer:
mapping an area
Step-by-step explanation:
One situation and probably the most common is mapping an area. Graphs are great for dividing a geographical location into various sections and creating a model representation of the area. The graph itself allows for specific directions to be shared using the x and y coordinates on the graph. The same applies for finding the midpoint of a line segment. For example, this is useful if you were trying to find a place to meetup with a friend that is an equal distance from where you are and from where your friend is currently located. Therefore, allowing you to meetup at the midpoint.
GUYS! Please help me with this question!
Which piecewise function is represents the absolute value function, f(x)=|2x+3|
How's The online class?
Answer:
weak
Step-by-step explanation:
i dont be having fun at all
Need help on the last problem please.
Answer:
6 of x and 5 of y
Step-by-step explanation:
x = number of closets of the first type
y = number of closets of the second type
1200 = 100x + 120y
100 = 10x + 8y
10x = 100 - 8y
10x(100 - 8y) + 120y = 1200
1000 - 80y + 120y = 1200
40y = 200
y = 5
100 = 10x + 8×5 = 10x + 40
60 = 10x
x = 6
20x + 24y = max
20×6 + 24×5 = 120 + 120 = 240
Which best describes what forms in nuclea fission?
O two smaller, more stable nuclei
O two larger, less stable nuclei
• one smaller, less stable nucleus
one larger, more stable nucleus
Answer:
One larger, more stable nucleus
If f(x) = 10 + 2x and g(x) = 6x + 5, then (f+ g)(x) =
Answer:
8x +15
Step-by-step explanation:
f(x) = 10 + 2x and g(x) = 6x + 5
(f+ g)(x) = 10 + 2x + 6x + 5
Combine like terms
= 8x +15
Answer:
8x+15
Step-by-step explanation:
(f+g)(x) = f(x)+g(x)
= (10+2x) + (6x+5)
= 8x+15
hope it helped, please mark me brainliest.
Lucian was hiking through a field directly toward his car, which was parked on a long, straight road perpendicular to his path, when he came to a swamp. He turned 55 degrees to the right and hiked 3 miles in that direction to reach the road. How far did he need to walk down the road to reach his car? (Please include a labeled diagram so step by step solution is easy to follow).
Can you please help me with this ☺️
Answer:
a=27.807
Step-by-step explanation:
Its simple, set it up for law of sine which is sinA/a = sinB/b
Sin108/a = Sin20/10
When you compute with decimals you should always check your answer is reasonable why
Answer:
Ang pangit mo
Kamuka mo Yong clown
Round 948070 to the nearest hundred? Hurry please
Answer:
9.48
Step-by-step explanation:
J. Aitchison collected expenditures data for 20 randomly selected single men and 20 randomly selected single women. He uses the data to conduct a hypothesis test to determine if the mean percent of expenditures that goes toward housing (including fuel and light) is different for men and women. What is the correct alternative hypothesis?
a. Md = 0
b. μα = 0
c. ud > 0
d. Opmen — Вwomen
e. Himen > Mwomen
f. Mmen Mwomen
Answer:
The alternative hypothesis is [tex]H_1: \mu_M - \mu_W \neq 0[/tex], considering M for men and W for women.
Step-by-step explanation:
He uses the data to conduct a hypothesis test to determine if the mean percent of expenditures that goes toward housing (including fuel and light) is different for men and women.
At the null hypothesis, we test if there is not difference, that is, the difference of the mean is 0, so:
[tex]H_0: \mu_M - \mu_W = 0[/tex]
At the alternative hypothesis, we test if there is a difference, that is, the difference of the means is different of 0, so:
[tex]H_1: \mu_M - \mu_W \neq 0[/tex]
the cost of 7 shirts is $63. find the cost of 5 shirts
1. $35
2. $45
3. $52
4. $70
Select all of the following statments that are true
Answer:
A. -¾ + 0 = -¾
B. -¾ - ¾ = -(¾ + ¾)
C. ¾ - ¾ = ¾ + (-¾)
E. -¾ + ¾ = ¾ + (-¾)
F. -¾ + ¾ = 0
Step-by-step explanation:
Let's check each equation to determine whether they are true or false.
If what we have in the both sides are equal, then the equation is true, if they're not, them it is false.
✔️-¾ + 0 = -¾
Add everything on your left together
-¾ = -¾ (TRUE)
✔️-¾ - ¾ = -(¾ + ¾)
Add everything on both sides together respectively
(-3 - 3)/4 = -(3 + 3)/4
-6/4 = -6/4 (TRUE)
✔️¾ - ¾ = ¾ + (-¾)
0 = ¾ - ¾ (+ × - = -)
0 = 0 (TRUE)
✔️-¾ + ¾ = ¾ - (-¾)
0 = ¾ + ¾ (- × - = +)
0 = 6/4 (FALSE)
✔️-¾ + ¾ = ¾ + (-¾)
0 = ¾ - ¾ (+ × - = -)
0 = 0 (TRUE)
✔️-¾ + ¾ = 0
0 = 0 (TRUE)
What is the ninth term in the binomial expansion of (x – 2y)13?
329,472x5y8
–329,472x5y8
–41,184x8y5
41,184x8y5
Answer:
It's A
Step-by-step explanation:
On Edg
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer
Which sentence correctly compares the two numbers 5.395 and 5.385?
05.395 < 5.385
05.385 > 5.395
o 5.395 = 5.385
5.385 < 5.395
h
Submit
Pass
Don't know answer
Answer:
5.385 < 5.395
Step-by-step explanation:
Compare digits one by one starting form the left.
5.395 and 5.385
The 5s in the ones place are equal.
5.395 and 5.385
The 3s in the tenths place are equal.
5.395 and 5.385
The 9 in the hundredths place is greater than the 8 in the hundredths place, so the number with the 9 is grater than the number with the 8.
That makes the number with the 8 less than the number with the 9.
Answer: 5.385 < 5.395
Does the expression represents a positive or negative 3(-2 1/3)
Answer:
Positive
Step-by-step explanation:
This is an equation, with distribution in it. The number on the outside is positive, and the one inside is negative. Furthermore, since the number on the outside is larger than the one inside, the outcome will be positive.
Answer:
positive
Step-by-step explanation:
when both positive and negative will multiply then will makes negatives. so negative is correct option.
Someone pls answer all?
Answer: hello there here are your answers:
5) Associate property of addition
6) Multiplicative identify
7) additive identify
Step-by-step explanation:
5) that is correct because you are changing the numbers in the ()
6) because it the same numbers and variables just placed in a different way
7) its cleaves the system changed with any element added
hope this help have a good day
Determine the nature of the roots: 4x2 + 13x + 6 = 0
a. no real solutions
b. cannot be determined
C. a unique real solution
two distinct real solutions d. two distinct real solutions
Answer:
D. is the correct option
Discriminant is greater than zero, so the roots are unequal and real.
Step-by-step explanation:
We use discriminant to find the nature of the roots
discriminant formula is, b^2 - 4ac
13^2 (-4) × 4 × 6 = 169-96
73 >0
if discriminant greater than 0 that means the roots are real and unequal.
PLEASE HELP ASAP!!! I don’t know how to do this problem or where to start! How do I solve this?
Answer:
W = 4.95
Step-by-step explanation:
You want to start by writing down what you know, and forming a system of equations.
L= length W= width
2L+2W=14.7
L= 2.4
On the left side of the equation, you're adding all your side lengths, and on the right, is the total perimeter. (Also could be written L+L+W+W = 14.7)
You would then substitute L from the bottom equation into the top equation to get:
2(2.4) +2W=14.7
Solving:
4.8+2w=14.7
W= 4.95
To check your answer simply add all the sides together and make sure it equals your perimeter. You can also plug W and L back into the original equation.
The scale of a map is 1/8 inch=10 miles. If two cities are 3 inches apart on the map how many miles are they from each other
Two trains leave stations 192 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
11 hours
Answer:
32 miles per hour
Step-by-step explanation:
x+85+75=192 x+160=192 x=192-160 x=32..
I thought x-7 was the right answer because don't you need to subtract? But apparently it was wrong so then which one is the correct answer?
Answer:
It is 7x-7
Step-by-step explanation:
You have to add the two expressions, not subtract them.
Answer:
no you need to add, it would be 7x - 7
Step-by-step explanation:
You need to look at the line...they gave you the measurement for PR, and the measurement for RS...and they want you to find PS
You need to add because both PR and RS come together to form PS
Tessa conducts an experiment and obtains results that are statistically significant. What is meant by "statistically significant"? O It means that Tessa used a large sample size. O It means that the results that Tessa obtained are too unusual to be explained by chance alone. It means that Tessa's experiment was not biased. O It means that the individuals in the experiment were randomly assigned to the treatment groups. earch 0 so DOLL
9514 1404 393
Answer:
(b) It means that the results that Tessa obtained are too unusual to be explained by chance alone
Step-by-step explanation:
The test for statistical significance is a comparison of the result to the probability that it occurred by chance. The probability of a chance occurrence is usually set at 1% or 5%. The lower the percentage, the less likely a chance occurrence is, and the more difficult showing statistical significance becomes.
Suppose that two teams play a series of games that end when one of them has won i games. Suppose that each game played is, independently, won by team A with probability p. Find the expected number of games that are played when i = 2. Also show that this number is maximized when p= 21.
Answer:
a) E(x) = -2p^2 + 2p + 2
b) Number is maximized when p = 1/2
Step-by-step explanation:
Determine the Expected number of games when ( i ) = 2
The number of possible combinations that both teams win two games :
AA, BB, ABB, ABA, BAA, BAB = 6 combinations
P( team A winning ) = p
P( team B wins ) = 1 - p
Attached below is the detailed solution on the expected number of games
expected number of games ; E(x) = -2p^2 + 2p + 2
ii) Number is maximized when p = 1/2
In this exercise we will use the knowledge of probability and combination, so we have what will be:
a)[tex]E(x) = -2p^2 + 2p + 2[/tex]
b)[tex]p = 1/2[/tex]
Organizing the information given in the statement as:
Expected number of games when ( i ) = 2A)The number of possible combinations that both teams win two games :
[tex]AA, BB, ABB, ABA, BAA, BAB = 6 \ combinations\\P( team\ A \ winning ) = p\\P( team \ B \ wins ) = 1 - p\\E(x) = -2p^2 + 2p + 2[/tex]
B) To calculate the maximum number we must solve the quadratic equation, like this:
[tex]p=1/2[/tex]
See more about probability at brainly.com/question/795909
LOOK AT THE BOTTOM PLEASE MAKE SURE YOU ARE RIGHT
Answer:
reflection
Step-by-step explanation:
B is the mirror image of A across a line between the two images
TIME REMAINING
49:02
What is the value of h?
The graph shows that f(x) = 3* is translated horizontally
and vertically to create the function g(x) = 3*- h + k.
81%
O-2
O-1
O 1
O 2
f(x)
001)
What is the answer to this photo
Answer:
h=2
Step-by-step explanation:
f is translated right 2 units (so h=2) and up 2 units (so k=2)
The value of h is 2.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
A function f(x) when translated horizontally leads to the function g(x) which is equal to g(x) = f(x ± k) where k is the units to which the function is translated.
And the vertical translation leads to the function g(x) = f(x) ± k, where k is the units to which the function is translated.
Here the original function is, f(x) = 3ˣ.
The point corresponding to x = 0 in f(x) is x = 2 in g(x).
That is (0, 1) is translated to (2, 3).
f(x) is horizontally translated to the right.
3ˣ translates to 3ˣ⁻².
Hence the value of h is 2.
Learn more about Translations here :
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Which of the following equations describes the graph?
one particular ice cream parlor has 28 different flavors available. How many ice cream cups are possible if you order 4 scoops? this is a combination
Answer:
20,475 cream cups are possible.
Step-by-step explanation:
The order in which the flavors are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
4 cups from a set of 28.
So
[tex]C_{28,4} = \frac{28!}{4!24!} = 20475[/tex]
20,475 cream cups are possible.