The unknown side length in triangle B has a measure of 7.5 units.
It is given that Alejandro reduced triangle A proportionally.
It means triangle A and B are similar and their corresponding sides are proportional.
Scale factor = 6/12
=1/2
Each side of triangle A is changed by a factor of 1/2.
Let the unknown side of triangle B be x.
x/15=1/2
2x=15
x=7.5
Therefore, the unknown side length in triangle B has a measure of 7.5 units.
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Can someone help with these geometry questions? I gotta have answers fast, it’s urgent:(
Can't answer 1-6 cause I have no idea what you need
7) A triangle with two congruent sides is isosceles.
8) \(\overline{AC}\) and \(\overline{BC}\)
9) \(\angle C\)
10) \(\overline{AB}\)
11) \(\angle A, \angle B\)
12) isosceles triangle
Find AS 2x + 12
....................
Answer:
THE ANSWER IS X24
Step-by-step explanation:
PLEASE HELP ME WILL. MARK BRAINLIEST!
Answer: C: 0.4
Step-by-step explanation:
1/5 is 0.2 and double that is 0.4 since there are 2 half hours in an hour :)
express the number in trigonometric form. -2 + 2 √3 i
Given:
z = -2 + 2 √3 i
The objective is to write the number in trigonometric form.
The trigonometric form can be represented as,
\(z=r(\cos \theta+i\sin \theta)\)The general form of complex number is, z = x+iy.
By comparing with the given equation.
x = -2
y = 2 √3
The value of r can be calculated as,
\(\begin{gathered} r=\sqrt[]{x^2+y^2} \\ r=\sqrt[]{(-2)^2+(2\sqrt[]{3})^2} \\ r=\sqrt[]{4+4\cdot3} \\ r=\sqrt[]{4+12} \\ r=\sqrt[]{16} \\ r=4 \end{gathered}\)The value of theta can be calculated as,
\(\begin{gathered} \theta=\tan ^{-1}(\frac{y}{x}) \\ \theta=\tan ^{-1}(\frac{2\sqrt[]{3}}{-2}) \\ \theta=\tan ^{-1}(-\sqrt[]{3}) \\ \theta=-^{}60^0 \\ \theta=-\frac{\pi}{3} \end{gathered}\)Now, substitute the obtained values of r and theta in the general equation of trigonometric form.
\(z=4\lbrack\cos (-\frac{\pi}{3})+i\sin (-\frac{\pi}{3})\rbrack\)Since,
\(\begin{gathered} \cos (-\theta)=\cos \theta \\ \sin (-\theta)=-\sin \theta \end{gathered}\)Then,
\(z=4\lbrack\cos \frac{\pi}{3}-i\sin \frac{\pi}{3}\rbrack\)Hence, the required trigonometric form is obtained.
Which number is less than 8.350
the answer is
8.349 : )
because it is 1 less than 8.350 : )
On average, people breath 10,000 times per night with a standard deviation of 1400. You study 50 people and record how many breaths they take per night. What is the probability that the average of all participants in the study was fewer than 10,200 breaths each night?I want answer with step by step.
ANSWER
\(\begin{equation*} 0.84375 \end{equation*}\)EXPLANATION
We want to find the probability that the average of all participants in the study was fewer than 10,200 breaths each night.
To do this, first, we have to find the z-score corresponding to the sample mean:
\(z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\)where x = sample mean
μ = population mean
σ = standard deviation
n = sample size
Therefore, the z-score is:
\(\begin{gathered} z=\frac{10200-10000}{\frac{1400}{\sqrt{50}}}=\frac{10200-10000}{\frac{1400}{7.0711}} \\ z=\frac{200}{197.99} \\ z=1.01 \end{gathered}\)Now, using the standard normal table, we can find P(z < 1.01).
Therefore, the probabilityis:
\(P(z<1.01)=0.84375\)That is the answer.
for both political and macroeconomic reasons, governments are often reluctant to run budget deficits. here, we examine whether policy changes in g and t that maintain a balanced budget are macroeconomically neutral. put another way, we examine whether it is possible to affect output through changes in g and t so that the government budget remains balanced. start from equation (3.8). a. by how much does y increase when g increases by one unit? b. by how much does y decrease when t increases by one unit? c. why are your answers to (a) and (b) different? suppose that the economy starts with a balanced budget: g
Maintaining a balanced budget while influencing the output level of the economy is not necessarily macroeconomically neutral and requires careful consideration of the policy trade-offs involved.
The problem presents a scenario where governments aim to maintain a balanced budget while trying to influence the output level of the economy through changes in government spending (g) and taxes (t). To assess the macroeconomic neutrality of such policy changes, we use equation (3.8) to find the impact of a unit increase in g and t on the output level y.
(a) The impact of a unit increase in g on the output level y is given by the multiplier (1/1-c1), where c1 is the marginal propensity to consume. Therefore, an increase in g by one unit will increase output by the multiplier times the change in g.
(b) The impact of a unit increase in t on the output level y is given by the negative multiplier (-c1/1-c1). Therefore, an increase in t by one unit will decrease output by the negative multiplier times the change in t.
(c) The answers to (a) and (b) are different because an increase in g will increase aggregate demand, leading to a higher equilibrium level of output, while an increase in t will decrease disposable income and hence decrease consumption and aggregate demand, leading to a lower equilibrium level of output.
In the scenario where the government starts with a balanced budget, any increase in government spending will have to be financed through an increase in taxes or a reduction in government transfers. The impact of such policy changes on the output level will depend on the size of the multiplier and the extent to which the increase in taxes or reduction in transfers affects consumption and aggregate demand.
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(A/N If you don't know please don't answer. I need this for extra credit)
The Image below is the question
Question 1 options:
112°
158°
136°
68°
Answer:
A. 112°Step-by-step explanation:
Angles QPS and QRS are supplementary as opposite angles of a cyclic quadrilateral.
Supplementary angles sum to 180°.
m∠QPS = 180° - m∠QRSm∠QPS = 180° - 68°m∠QPS = 112°Correct choice is A
Please help!
Worth 20
the Area will be 280 inch².
What is are of triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
The base of triangle = 20inch
The height of triangle = 14inch
Area is = (base * height) = (20*14)
Area = 280 inch²
Hence the Area will be 280inch²
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real estate ads suggest that 60% of homes for sale have garages, 30% have swimming pools, and 18% have both features. what is the probability that a home for sale has garage but no pool?
The probability of a home for sale having a garage but no pool is 0.42.
To do this, we need to use some probability rules. One useful rule is the formula for calculating the probability of an event not occurring. This is given by:
P(not A) = 1 - P(A)
where A is the event we are interested in, and not A is the event of A not occurring.
In this case, we are interested in the probability of a home having a garage but no pool. Let's call this event GNP (short for garage no pool). Using the information given, we know that 60% of homes have garages and 18% have both garages and pools. We can use this information to calculate the probability of a home having a garage but no pool as follows:
P(GNP) = P(G) - P(G and P)
where G is the event of a home having a garage and P is the event of a home having a pool.
Substituting the values we have:
P(GNP) = 0.6 - 0.18
P(GNP) = 0.42
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Equation of the line that passes through the points -1,10.5 and 0,4.5
Answer: y = -6x + 4.5
Step-by-step explanation:
to put it into slope intercept form use the standard form y=mx+b
where m is the slope and b is the y intercept
First, we have to find the slope
the slope is found using (y1-y2)/(x1-x2)
so you have 10.5-4.5 over -1-0 or 6 over -1
So the slope is -6
Second, we have to use a given Y value for the intercept
y = -6x + 4.5
use multiplcation to solve the proportion. b/65 = 7/13
Answer:
b = 35
Step-by-step explanation:
Use the butterfly method (Cross multiply):
b × 13 = 13b
65 × 7 = 455
So you would have:
13b = 455
Divide both sides by 13.
You will get b = 35
Hope this helps!
Answer: b=35
Step-by-step explanation:
\(\frac{b}{65}=\frac{7}{13}\)
Multiply both sides by 65:
\(\frac{65b}{65}=\frac{7\cdot \:65}{13}\)
\(b=35\)
please help me i cannot figure it out
6z +3 - 2z +5=
this is what i cannot figure out
Answer:
4z+8
Step-by-step explanation:
combine your like terms
6z-2z=4z
3+5=8
A frog in a hemispherical pod (see fig. ) just floats without sinking into sea water with density 1. 35g / c * m ^ 3 if the pod has radius 6 cm and negligible mass, what is the mass of the frog?.
Thus, the mass of the frog is 48.6π grams when it is in a hemispherical pod which just floats without sinking into sea water.
What is meant by buoyancy?The force imposed on a body by a fluid, such as water or air, in which the body is submerged or immersed is known as buoyancy. This force is equivalent to the mass of the fluid that the body has displaced. In mathematics, buoyancy is defined as the sum of the fluid density, gravitational acceleration, and body volume. Archimedes' principle, which asserts that the buoyant force on an item is equal to the weight of the fluid it displaces, is a name for this connection. A key idea in the study of fluid mechanics, buoyancy has many uses, including the construction of boats, planes, and other floating structures.
How to solve?
V = 2/3 * π * r^3,
V = 2/3 * π * 6^3 = 2/3 * π * 216 = 36π.
F = V * d,
F = 36π * 1.35g/c * m^3 = 48.6π g.
F = m + W,
48.6π g = m + 0 g.
m = 48.6π g.
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a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433 gram setting. it is believed that the machine is underfilling or overfilling the bags. a 301 bag sample had a mean of 431 grams with a variance of 324 . assume the population is normally distributed. a level of significance of 0.02 will be used. specify the type of hypothesis test.
The type of hypothesis test to be used in this scenario is a one-sample t-test with a two-tailed alternative hypothesis.
The problem is asking to conduct a hypothesis test to determine whether the bag filling machine works correctly at the 433 gram setting.
The hypothesis test would involve a null hypothesis (H0) and an alternative hypothesis (Ha).
The null hypothesis is typically the hypothesis of "no effect" or "no difference" and is denoted as H0. In this case, the null hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is equal to 433 grams. Therefore, the null hypothesis would be:
H0: μ = 433
The alternative hypothesis (Ha) is the hypothesis that we want to test, and it is denoted as Ha. In this case, the alternative hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is not equal to 433 grams. Therefore, the alternative hypothesis would be:
Ha: μ ≠ 433
To conduct the hypothesis test, we would need to calculate the test statistic and compare it to the critical value. Since the sample size is large (n=301) and the population variance is unknown, we would use a t-test with a level of significance of 0.02.
If the calculated t-value falls outside the critical t-value, we would reject the null hypothesis and conclude that the bag filling machine does not work correctly at the 433 gram setting.
If the calculated t-value falls within the critical t-value, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the bag filling machine does not work correctly at the 433 gram setting.
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I WILL MARK BRAINLIST
Which expressions are equivalent to 5x-15? Select three options.
O 5(x+15)
O 5(x-3)
O 4x+3y-15-3y+X
O -7y-6x-8y + x
O -20-3x+5+8x
you are surveying students to find out their opinion of the quality of food served in the school cafeteria. you decide to poll only those students who buy hot lunch
on a particular day, is your sample random? explain.
The sample of students who buy hot lunch on a particular day may not be considered a random sample. The explanation lies in the fact that this sample is limited to a specific group of students who have opted for hot lunch, excluding those who bring their own lunch or choose not to eat in the cafeteria.
Random sampling involves selecting individuals from a population in such a way that every member has an equal chance of being chosen. However, by surveying only those students who buy hot lunch on a particular day, the sample is limited to a specific subset of the population. This excludes students who bring their own lunch or choose not to eat in the cafeteria.
By targeting a specific group, the sample may introduce bias and not accurately represent the entire student population's opinion on the quality of food in the school cafeteria. To achieve a random sample, it would be necessary to include students who bring their own lunch or have meals outside the cafeteria to ensure a more comprehensive and unbiased representation.
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p(x) = 2x4+6x3-5x-10; (x+2)
Determine if it’s a factor
Step-by-step explanation:
Using the remainder theorem when , when the value of x + 2 is substituted into the polynomial if it's a factor it will produce a result of zero else any number will prove that it's not a factor.
So we have
x + 2 = 0
x = - 2
Substitute the value of x into the polynomial
That's
\(p( - 2) = 2 ({ - 2})^{4} + 6( { - 2})^{3} - 5( - 2) - 10 \\ = 2(16) + 6( - 8) + 10 - 10 \\ = 32 - 48 \\ = - 16\)
Since it leaves a remainder of - 16 (x + 2) is not a factor of the polynomial
Hope this helps you
There are 78 national monuments in a particular country. Fifty-eight of these monuments are located in state A.
a. What fraction of the national monuments can be found in state A?
b. How many of the national monuments in the country are found outside state A?
c. Write the fraction of national monuments found in states other than state A.
Answer:
a.\(\frac{58}{78}\)
b. 20
c. \(\frac{20}{78}\)
Step-by-step explanation:
a. 58 of 78 are from state A
b. 78 minus 58 equals 20
c. 20 of 78 are found in states other than state A
Matt and Mark went to El Rodeo to have some dinner. Matt ordered 3 tacos and 2 enchiladas, which cost him $4.93. Mark ordered 2 tacos and 4 enchiladas, which cost him $6.38. What is the cost of one taco and what is the cost of one enchilada?
Answer:
The cost of one taco is $0.87 and the cost of one enchilada is $1.16
Step-by-step explanation:
Let the cost of tacos be X
and cost of enchiladas be y
So, by using given data, we have following equations
3X + 2Y = 4.93 (1)
2X + 4Y = 6.38 (2)
So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.
= 2 × ( 3X + 2Y = 4.93) (1)
= 3 × (2X + 4Y = 6.38) (2)
= - (6X + 4Y = 9.86) (1)
= 6X + 12y = 19.14 (2)
= 8Y = 9.28
Y = 9.28 ÷ 8 = 1.16
By putting the value of Y in equation 1, we get
3X + 2(1.16) = 4.93
3X + 2.32 = 4.93
X = 2.61 ÷ 3 = 0.87
Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.
The graph ta free rotht shows how many pounds of apples and one wine. Fir examples if you devote al of your time ta poing apples and none of your time 10 inckino chemos. you can prow. 72 pounds of apples. If you devote al of your nime bo picking chetres, you can plos 12 pounds. Ar the same fime, if your neighbor deyotes afl of her time fo phiching apples, she can pick 32 pounds of appies. If she devohes all of her time to picking cherrief, she can pick 32 pocmate Suppose mitialy that you (Y) are consumhng 24 pounts of appiot and 11 pounds of cherries and that your neighbor (N) is consurning 28 pounds of apples and 4 pounds of cherries. as indisated in the graph. Then, suppese you and your neighbor specialize by each only picking the good for which. you have a comparative adyantage and trade. in particular, suppose you trade your neightor haif of your production for haif of what your nedghbor produces. In the cable below, first fis in production when specializing: Enter numene responses using integers.)
When specializing in the goods they have a comparative advantage in, you will produce 36 pounds of apples and your neighbor will produce 16 pounds of cherries. After trading half of your production for half of your neighbor's, you will end up consuming 18 pounds of apples and 8 pounds of cherries, while your neighbor will consume 18 pounds of cherries and 4 pounds of apples.
To find the production levels when specializing, we need to identify the goods each party has a comparative advantage in. You produce 72 pounds of apples and 12 pounds of cherries when focusing solely on each good, while your neighbor produces 32 pounds of both apples and cherries. You have a comparative advantage in apples since you can produce 6 times more apples than cherries (72 apples vs. 12 cherries) while your neighbor can only produce twice as many apples as cherries (32 apples vs. 16 cherries).
Thus, you will specialize in apple picking, and your neighbor will specialize in cherry picking. As a result, you will produce 36 pounds of apples, and your neighbor will produce 16 pounds of cherries. After trading, you both end up with half of each other's production. You will consume 18 pounds of apples and 8 pounds of cherries, while your neighbor will consume 18 pounds of cherries and 4 pounds of apples. This specialization and trade allow both of you to enjoy a more diverse consumption bundle and increase overall welfare.
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Identify the directrix and focus of the equation below
(y - 2)^2 = 8(x +2)
V (-2, 2)
The directrix of the given equation is x = -4.
The focus of the given equation is (0, 2).
To identify the directrix and focus of the given equation, we can use the formula for a parabola in standard form, which is (y - k)^2 = 4p(x - h),
where (h, k) is the vertex and p is the distance from the vertex to the directrix and focus.
In this case, the equation (y - 2)^2 = 8(x + 2) is already in the standard form. Comparing it with the general form, we can see that the vertex is (-2, 2).
To find the value of p, we need to rewrite the equation in the standard form by dividing both sides by 8:
(y - 2)^2/8 = (x + 2)
Now we can compare it with the standard form and see that p = 2. Since p is positive, the parabola opens to the right.
The directrix is a vertical line, and it is a distance of p = 2 to the left of the vertex. Therefore, the equation of the directrix is x = -4.
The focus is a point on the axis of symmetry and is also a distance of p = 2 to the right of the vertex. To find the coordinates of the focus, we add p = 2 to the x-coordinate of the vertex: -2 + 2 = 0. So the focus is located at (0, 2).
In summary:
- The directrix of the given equation is x = -4.
- The focus of the given equation is (0, 2).
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can yall help me plz
Answer:
-2.5
Step-by-step explanation:
You do distributive property first and get 12-8p= -12p + 2. You add 12 to -8p an -12p and get 12+4p= 2. Subtract 12 from 2 and get -10. Divide -10 by 4 and get -2.5.
Answer:
-2.5
Step-by-step explanation:
help!!! ill give brainliest!!
Answer:
4.123
Step-by-step explanation:
Just have to think what times itself = 17 and I thought well Istill close to 4 and then I just did the work
also PLZ MARK ME BRAINLIEST
A bookshelf has 36 fiction books and 44 non-fiction books. What percentage of the total books are non-fiction?
Answer:
55%
Step-by-step explanation:
The total number of books is 80 (36+44) and 44 of the 80 books (44/80) are nonfiction. Converting this fraction to a percent would equal 55%.
A local venue is selling tickets to a show. They are selling $10 and $15 tickets, each with different seating. If the venue sells 1,000 tickets and collects a total of $12,200 from sales, how many of each type of ticket did they sell? Please explain the work
Answer:
Let $10 tickets be (x)
Let $15 tickets be (y)
Now we know they sold 1000 tickets
And they earned 12,200 from sales
So we can say
X+Y=1000
10x+15y=12,200
We can do substitution
So lets find Y first
Y=1000-x (basically x+y=1000 but solved for Y)
10x+ 15 ( 1000-x)= 12,200
You’d get
10x+15000-15x=12200
Combine and solve for x and you’ll get
x=560
So we know that x is 560
We can just use that to solve for Y
Since X is 560 tickets
And 1000 tickets soled
1000-560=440
440 ($15) tickets
560 ($10) tickets
There are 12 counters in a bag.
3 of the counters are red.
1 of the counters is blue.
2 of the counters are yellow.
The rest of the counters are green.
Caitlin takes at random a counter from the bag.s
Show that the probability that this counter is yellow or green is 2/3.
Answer:
number of green counters
=12-3+1+2
=6
number of green and yellow counters
=6+2
=8
probability of getting green or yellow counter
=8/12
=2/3
Step-by-step explanation:
The table shows the amounts of storage in y (gigabytes) on a music playing device when there are x songs on the device. a. Write an equation that models the amount of storage left as a function of the number of songs. b. Interpret the slope and y-intercept of the line of fit.
Using linear regression, it is found that:
a) The equation is: y = -0.00408x + 16.
b) The interpretation of each coefficient is:
Slope: Each music takes up 0.00308 GB of space in the device.Intercept: The capacity of the device is of 16 GB.How to obtain the linear regression equation?The linear regression equation is obtained inserting the points given on the table at the end of the answer in a linear regression calculator.
Then the equation will have the following format of a linear function:
y = mx + b.
In which the coefficients are as follows:
Slope m: amount taken by a single music.Intercept b: initial capacity of the storage device.The points are given as follows:
(0, 16), (242, 14.8), (519, 14.1), (698, 13.5), (825, 12.7), (1009, 11.6).
Using the calculator, the equation is:
y = -0.00408x + 16.
Missing InformationThe problem is given by the image at the end of the answer.
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If x and y vary inversely and x = 2.5 when y =100, find x when y = 25.
a poll shows that of all voters approve of the mayor's work. on three separate occasions a pollster selects a voter at random. what is the probability that on exactly one of these three occasions the voter approves of the mayor's work?
The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:
0.189 = 18.9%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of these parameters in the context of this problem are given as follows:
n = 3, p = 0.7.
Then the probability of exactly one success is calculated as follows:
P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.
Missing InformationThe proportion of voters that approve the mayor's work is of 70%.
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