Answer:
29 = x
Step-by-step explanation:
The two angles shown are vertical angles and vertical angles are equal
59 = 2x+1
subtract 1 from each side
59-1 = 2x+1-1
58 = 2x
Divide by 2
58/2 = 2x/2
29 = x
Which diagram would most help you round 7.347
to the nearest tenth?
7.347 is clοser tο 7.3 than tο 7.4, we wοuld rοund off tο 7.3.
What is the number line?A number line is a hοrizοntal οr vertical line that represents numbers and their relatiοnships in a graphical way.
The diagram that wοuld mοst help yοu rοund 7.347 tο the nearest tenth is a number line.
A number line is a linear diagram used tο represent numbers and their relatiοnships. It can be marked with equally spaced ticks οr intervals that represent units οf measure.
Tο rοund 7.347 tο the nearest tenth using a number line, we wοuld lοcate 7.347 οn the number line and then lοοk tο the right and left οf that pοint tο find the nearest tenth.
Fοr example, if we draw a number line with ticks at each tenth, we wοuld lοcate 7.347 between the ticks fοr 7.3 and 7.4. Then, we wοuld determine which οf these ticks is clοser tο 7.347 and rοund the number accοrdingly.
Hence, 7.347 is clοser tο 7.3 than tο 7.4, we wοuld rοund it dοwn tο 7.3.
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Complete question:
Which diagram would most help you round 7.347 to the nearest tenth?
Matthew is saving money for a pet turtle the data in the table represents the total amount of money in dollars that he saved by the end of each week.
Find the value of x. Round to the nearest degree
Answer:
b. 44°
Step-by-step explanation:
Reference angle = x
Hypotenuse = 21
Adjacent = 15
Apply trigonometric function CAH:
\( Cos(x) = \frac{Adj}{Hyp} \)
\( Cos(x) = \frac{15}{21} \)
\( x = cos^{-1}(\frac{15}{21}) \)
x = 44.4153086° ≈ 44° (nearest degree)
A coach can take 40 passengers.how many passenger can be carried by 18 coaches
A 1 liter bottle of Mexican wine costs 100 pesos. At that price, how much would a
gallon jug of wine cost in US dollars? Round to two decimal places. SHOW ALL
WORK. (In other words, what is the price in dollars per gallon.)
Determine whether or not the number is written in scientific notation.
1890
Answer:
The number is not written in scientific notation.
Step-by-step explanation:
Scientific notation is normally represented by \($x\times10^d\), 'd' being the number of digits.
Question 3 of 10
which choice is equivalent to the quotient
According to the property
below?
O A -5
B. 25
C5
OD. - 5
ES
Answer: D: Square Root Of 5
Step-by-step explanation: 30/6 is 5, now fill in the sqrt symbol. Hope this helped. (This problem was one of the simpler, friendlier numbers.)
Simplify the following by combining all constants and
combining the a and b terms using exponential notation.
-3aaaaaa5bbbbb =
Answer:
-15a⁶b⁵
Step-by-step explanation:
-3aaaaaa5bbbbb
= -3a⁶5b⁵
= -15a⁶b⁵
I hope this helps!
write the following in set builder form C={1,4,9,16,25}
Answer:
C={n : n=i^2 where i belongs to Natural_numbers and 1 <= i <= 5}
A couple plans to purchase a house. The bank requires a 20% down payment on the $240,000 house. The couple will finance the rest of the cost with a fixed- rate mortgage at 8.5% annual interest with monthly payments over 30 years.
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
(b) Find the amount of the mortgage.
(c) Find the monthly payment.
(A) The required down payment is $48,000.
(B) The amount of the mortgage is $192,000.
(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
(a) To find the required down payment, we need to calculate 20% of the house price.
Down payment = 20% of $240,000
Down payment = 0.2 * $240,000
Down payment = $48,000
The required down payment is $48,000.
(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.
Mortgage amount = Total cost of the house - Down payment
Mortgage amount = $240,000 - $48,000
Mortgage amount = $192,000
The amount of the mortgage is $192,000.
(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
P = Principal amount (mortgage amount)
r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)
n = Total number of monthly payments (30 years multiplied by 12 months)
Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
Using this formula and performing the calculation will give you the monthly payment amount.
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Suppose that each time Giannis Antetokounmpo shoots a free throw, he has a 3/4 probability of success. If Giannis shoots three free throws, what is the probability that he succeeds on at least two of them
Answer:
84.38% probability that he succeeds on at least two of them
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either Giannis makes it, or he does not. The free throws are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
He has a 3/4 probability of success.
This means that \(p = \frac{3}{4} = 0.75\)
Giannis shoots three free throws
This means that \(n = 3\)
What is the probability that he succeeds on at least two of them
\(P(X \geq 2) = P(X = 2) + P(X = 3)\)
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 2) = C_{3,2}.(0.75)^{2}.(0.25)^{1} = 0.4219\)
\(P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219\)
\(P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4219 + 0.4219 = 0.8438\)
84.38% probability that he succeeds on at least two of them
help Macy complete the sequences below for the given rules. 2, 10, 18, rule add 8
Given data:
The given sequence is 2, 10, 18.
The commoon difference of the given sequence is,
\(\begin{gathered} d=18-10 \\ =8 \end{gathered}\)The next term after 18 is,
\(\begin{gathered} a_4=18+d \\ =18+8 \\ =26 \end{gathered}\)The next term after 26 is,
\(\begin{gathered} a_5=26+d \\ =26+8 \\ =34 \end{gathered}\)Thus, the seq
Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed.
The 99% confidence interval for the population proportion p is (0.776, 0.824).
To find the 99% confidence interval for a proportion, we can use the formula:
CI = p^ ± z*(SE)
where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.
For a 99% confidence interval, the critical value z is 2.576.
Substituting the given values into the formula, we have:
CI = 0.80 ± 2.576*(0.03/√200)
Simplifying this expression, we have:
CI = 0.80 ± 0.024
This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.
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please help me with i’ll give you brainlist
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.
What is whisker plot?A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.
Here,
To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:
Minimum value: the smallest value in the data set.
First quartile (Q1): the median of the lower half of the data set.
Median: the middle value in the data set.
Third quartile (Q3): the median of the upper half of the data set.
Maximum value: the largest value in the data set.
First, we need to put the data in order:
10, 12, 14, 15, 16, 18, 22, 24, 25, 28
The minimum value is 10 and the maximum value is 28.
The median is the middle value, which is 18.
To find the first quartile, we need to find the median of the lower half of the data set, which is:
10, 12, 14, 15, 16
The median of this lower half is 14.
To find the third quartile, we need to find the median of the upper half of the data set, which is:
22, 24, 25, 28
The median of this upper half is 24.
So, the five-number summary for this data set is:
Minimum value = 10
First quartile (Q1) = 14
Median = 18
Third quartile (Q3) = 24
Maximum value = 28
Now we can use this information to create the box and whisker plot:
| |
----+----+----+----+----
10 14 18 24 28
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.
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three hundred two times one hundred fifty three
302×153
Answer:
46,206
Step-by-step explanation:
simple math
Answer:
the answer is 46,206
Step-by-step explanation:
Good luck!!!!
PLEASE HELPEPEPE also give explanation i’m confused
Just check if these answers are right please.. Seriously check them one answer by another...
Find the 8th term of the geometric sequence whose common ratio is
1/3
and whose first term is 5.
Answer: 5/2187
Step-by-step explanation: The equation for geometric sequence is (a (subroot) n = a (subroot) 1) x ratio^(n-1).
a (sub) n = a (sub) 8a (sub) 1 = 5ratio = 1/3(n-1) = 7The blue dot is at what value on the number line?
???????
Answer:
The blue dot is -19
Step-by-step explanation:
Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.
We are going backward, so we can count backward.
We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.
The blue dot is -19
PLEASE MARK AS BRAINLIESTAnswer: The blue dot equals to -19.
Step-by-step explanation:
On the number line, there are the numbers -10 & -4.
-7 would fit in the middle of them. That means the number line goes by minus 3.
Count -10 , -13, -16, then you get on the the blue dot which is -19.
Therefore, -19 is the answer.
PLEASE MARK AS BRAINLIESTWhat is the solution to this equation?
6x = 36
O A. x = 30
O B. x = 216
C. x = 6
O D. x= 4
Answer:
C
Step-by-step explanation:
6x=36
6x/6 cross out
36/6=6
×=6
so the answer is C
Given: F3 = 5 k + 515 g F4 = 945k - 713 g ; find F20
9514 1404 393
Answer:
F20 = 15985k -20361g
Step-by-step explanation:
If we assume F3 and F4 are the third and fourth terms of an arithmetic sequence, the common difference is ...
d = F4 -F3 = (945k -713g) -(5k +515g)
d = 940k -1228g
Then the 20th term is ...
F20 = F3 +(20 -3)d = (5k +515g) +17(940k -1228g)
F20 = 15985k -20361g
is 0.31443549 rational
Yes it is rational. Pi is irrational
the opposite sides of a parallelogram are ? congruent
A: always
b: sometimes
c: never
graph the linear equation
y+2=-3(x+2)
Here is how your graph should look. Make sure to plot (0,-8) as your y-intercept.
Hope this can help ! :)
what times what equals 38
Look at the angle Z that is marked on the shape. Is this angle less than, more than or equal to a right angle?
Answer:
Less then a right angle
Step-by-step explanation:
It’s can’t be equal (looks at other examples of a right angle)
It can’t be more since that would bve more then a right angle and it certainly isnt more
it can only be less
In a controlled lab environment some organisms exhibit growth over a specific period. Suppose a certain organism starts out weighing 16 mg and grows to 46 mg over a 5 hour period.
Find a linear model (equation of line) that describes the growth of the organism for the time period given.
Hint x is the number of hours and y is the weight
A linear model (equation of line) that describes the growth of the organism for the time period given is y = 46/5(x) + 16.
What is the slope-intercept form?Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Based on the information provided, we have the following equation that represents the relationship between the number of hours and the weight;
y = mx + c
y = 46/5(x) + 16
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The population of a city increases by 0.7% per year. If this year's population is
390,000, what will next year's population be, to the nearest individual?
Answer:
392,730
Step-by-step explanation:
This increase will be over one year which will just be a 0.7% increase
to 390,000
0.7% of 390,000 is 2730
(0.007 * 390,000 = 2730)
390,000 + 2730 = 392,730
Or more simply we can add the increase in percentage to 1 for our multiplier
390,000 * 1.007 = 392,730
Use the discriminant to determine how many and what kind of solutions the quadratic equation 2x² - 4x = -2 has.
O two real solutions
Ono real or complex solutions
O two complex (nonreal) solutions
one real solution
The discriminant of the given quadratic equation is zero, which means that it has two real solutions.
What is a quadratic equation?
The polynomial equations of degree two in one variable of type
f(x) = ax² + bx + c = 0 and with a, b, c, ∈ R and a ≠ 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f(x).
The discriminant's value reveals how many roots f(x) has:
- The quadratic function has two unique real roots if b² - 4ac > 0, otherwise it does not.
The quadratic function has one repeating real root if b² - 4ac = 0.
- The quadratic function has no true roots if b² - 4ac < 0.
The given quadratic equation is:
2x² - 4x = -2
2x² - 4x + 2 = 0
The general equation is :
ax² + bx + c = o
where discriminant is found using the formula b² - 4ac
Comparing the equations, we can write
a = 2
b = -4
c = 2
b² - 4ac = (-4)² - 4*2*2 = 16 - 16 = 0
Since the discriminant is equal to zero, it suggests that the quadratic equation has two equal real and rational roots.
Therefore the discriminant of the given quadratic equation is zero, which means that it has two real solutions.
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Vivek graphs the equations and to solve the equation His graph is shown below.
What are the solutions of
–4 and 2
–4 and 1
0 and 4
1 and 4
The solutions of the equation of the graph is -4 and 2.
What is solution of equation?An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.
We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.
In the given graph the point of intersection of the two equations are at x = -4 and x = 2.
Hence, the solutions of the equation of the graph is -4 and 2.
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The complete question is: