Answer:
xw= 60°
ym=60°
mw=120°
Step-by-step explanation:
Angles on a straight line add up to 180°. Therefore 180-78+42°=60°
Opposite angles are equal. Therefore 60°=60°
Angles in a circle = 360° Therefore 78°+42°+60°+60°+120°=360°
Solve the Following Inequality Select the possible range of solution to make the Statement True.
-6m < -24
Group of answer choices
1, 2, 3
-1, -2, -3
4, 5, 6
-, 4, -5, -6
Answer:
4, 5, 6
Step-by-step explanation:
- 6m < -24
-m < -4
m > 4
m has to be greater than 4
What is the range of the data below?
625, 638, 619, 677, 638, 659
Answer:
58
Step-by-step explanation:
The range is the difference between the highest and the lowest numbers in the number set.
The highest number in this set is 677 and the lowest number is 619.
677 - 619 = 58
A warren of rabbits has a population of 350. The population is increasing at a rate of 3% per year. How can you write an exponential growth function to find the monthly growth rate? (I have other question pls help if you can)
The exponential growth function to find the monthly growth rate is:
[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]
We have,
To write an exponential growth function to find the monthly growth rate, use the following formula:
[tex]P(t) = P_0 (1 + r)^t[/tex]
Where:
P(t) is the population at time t
P₀ is the initial population (350 in this case)
r is the growth rate per time period (monthly rate in this case)
t is the time in the corresponding time period
To find the monthly growth rate.
[tex]= (1 + r)^{1/12} - 1[/tex]
= [tex](1 + 0.03)^{1/12} - 1[/tex]
= 0.02493
= 2.493 %
Therefore,
The exponential growth function to find the monthly growth rate is:
[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]
Learn more about exponential growth functions here:
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On a coordinate plane, how are the locations of the points (1 , -5) and (-1 , 5) related
Answer:
They are a transformation
Step-by-step explanation:
Checked using desmos graphing
Please solve this system of equations.
5x-2y=9
12x-8y=4
Answer:
(4,11/2)
Step-by-step explanation:
5x-2y=9
12x-8y=4
A quick look will tell us that neither the x- nor the y- coefficient is the same in both equations, so combining the two by addition or subtraction. We can see that 2 is a multiple of 8, since 2 x 4 = 8. We should multiply the first equation by 4.
4(5x-2y=9)
Now we need to decide if we should add or subtract the equations.
20x-8y=36
12x-8y=4
Since we need to have a -8 and a +8 to eliminate the variables, we should subtract them. Change all the signs of the second equation and combine.
20x-8y=36
-12x-8y=4
----------------
8x=32
Divide both sides by 8 to get the x-value:
[tex]\frac{8x}{8} = \frac{32}{8}[/tex]
x=4
Now that we have our x-value, we need to plug in the y-value.
5x-2y=9
5(4)-2y=9
20-2y=9
-2y=-11
y=11/2
So our solution is (4,11/2)
Let's check our work.
5x-2y=9
5(4)-2(11/2)=9
20-22/2=9
20-11=9
9=9
12x-8y=4
12(4)-8(11/2)=4
48-88/2=4
48-44=4
4=4
Our solution is correct.
Answer:
x=4,y=11/2
Step-by-step explanation:
5x−2y=9
12x−8y=4
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
5x−2y=9,12x−8y=4
To make 5x and 12x equal, multiply all terms on each side of the first equation by 12 and all terms on each side of the second by 5.
12×5x+12(−2)y=12×9,5×12x+5(−8)y=5×4
Simplify.
60x−24y=108,60x−40y=20
Subtract 60x−40y=20 from 60x−24y=108 by subtracting like terms on each side of the equal sign.
60x−60x−24y+40y=108−20
Add 60x to −60x. Terms 60x and −60x cancel out, leaving an equation with only one variable that can be solved.
−24y+40y=108−20
Add −24y to 40y.
16y=108−20
Add 108 to −20.
16y=88
Divide both sides by 16.
y=11/2
Substitute 11/2 for y in 12x−8y=4. Because the resulting equation contains only one variable, you can solve for x directly.
12x−8x11/2=4
Multiply −8 times 11/2.
12x−44=4
Add 44 to both sides of the equation.
12x=48
Divide both sides by 12.
x=4
The system is now solved.
x=4,y=11/2
In the LEFT column: Solve for y: 5 = –7y + 8
9514 1404 393
Answer:
y = 3/7
Step-by-step explanation:
add 7y to both sides of the equation
7y +5 = 8
Subtract 5 from both sides of the equation
7y = 3
Divide both sides of the equation by 7
y = 3/7
A 2018 poll of 3603 randomly selected users of a social media site found that 1697 get most of their news about world events on the site. Research done in 2013 found that only 45% of all the site users reported getting their news about world events on this site. a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since 2013
Answer:
Reject H0; there is significant evidence that the proportion of site users who get their world news on this site has changed since 2013 and is significantly different from 45%
Step-by-step explanation:
Sample size, n = 3603
x = 1697
Phat = x/n = 1697/3603 = 0.4709 =47.09%
H0 : p = 0.45
H1 : p > 0.45
The test statistic :
(phat - p) / sqrt[(p(1 - p)) /n]
(0.4709 - 0.45) / sqrt[(0.45(0.55))/3603]
0.0209 / 0.00828810932
Test statistic = 2.5217
The Pvalue :
Using the Pvalue from Test statistic calculator ; α = 0.05 ;
Pvalue at 95% confidence = 0.005839
Pvalue < α ;
Hence, we reject the Null
Therefore, we conclude that the sample gives evidence that the proportion of site users who get their world news on this site has changed since 2013.
The Wanting Recognition (WR) Scale provides a quantitative measure of a person's level of need for approval and sensitivity to social situations. A random sample of 100 convicted drug dealers was scoredf on the WR scale and produced a mean WR score of 39 and a standard deviation of 6. (a) Use this information, find an interval estimate of the mean WR score for all convicted drug dealers with 99% confidence level.
Answer:
99% of the confidence level of the mean WR score for all convicted drug dealers
(37.4544, 40.5456)
Step-by-step explanation:
Step(i):-
Given that the sample size 'n' = 100
Given that the mean of the sample(x⁻) = 39
Given a standard deviation of the sample (σ) = 6
Level of significance = 0.01 or 99%
Step(ii):-
99% of the confidence level of the mean WR score for all convicted drug dealers
[tex](x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } ,x^{-} + Z_{0.01} \frac{S.D}{\sqrt{n} })[/tex]
[tex](39 -2.576 \frac{6}{\sqrt{100} } ,39 + 2.576 \frac{6}{\sqrt{100} })[/tex]
(39 - 1.5456 , 39+1.5456)
(37.4544, 40.5456)
Final answer:-
99% of the confidence level of the mean WR score for all convicted drug dealers
(37.4544, 40.5456)
Answer 3. Pls pls ASAP pls pls
Answer:
a) no
b) yes
c) yes
d) no
Step-by-step explanation:
Which of the following scenarios represents a possible impulse purchase?
Bryce researches interest rates on the purchase of a new car before deciding to make a purchase.
Bryce budgets for his first new car and decides to purchase a car through a dealership offering 0% interest to first-time buyers.
Bryce purchases the car of his dream by financing the entire cost of the car with a high interest bank loan.
Answer: Bryce purchases the car of his dream by financing the entire cost of the car with a high interest bank loan.
Step-by-step explanation: Please mark brainliest I am trying to level up
if a sphere has radius of 13 centimeters what is the volume
A small box measures 7 in. by 10 in. by
3/4 in. high. Find the volume of the box.
Answer:
Volume = 52.5
Step-by-step explanation:
volume of a rectangular 3d shape can be calculated by length*width*height. In this case:
7*10*0.75 = 52.5
Please solve the question with steps.
9514 1404 393
Answer:
c. x + 6
Step-by-step explanation:
The factorization is ...
x(x -3)(x -6)
The factor on the list that is not part of the above expression is (x +6).
_____
More detail
Factoring x from each term gives ...
x(x^2 -9x +18)
Now, you're looking for factors of 18 that sum to -9. We know that 18=(-3)(-6) and that -3-6 = -9, so the remaining two factors are (x-3)(x-6).
= x(x -3)(x -6)
Question 5 of 10 How does a low credit score affect a person who applies for a loan? O A. It causes banks to charge the person higher interest rates on the loan. OB. It makes it easier for the person to get a loan with a poor debt-to- income ratio. O C. It allows banks to give the person a loan without checking his or her tax records. OD. It makes banks more likely to give the person a large, long-term loan. SUBMIT
It's def not c or d, I think it's a.
Which statement is true?
4
O A. As the value of a positive number
increases, the absolute value of
the number decreases.
O B. As the value of a positive number
decreases, the absolute value of
the number increases.
O C. As the value of a negative number
increases, the absolute value of
the number decreases.
5
O D. As the value of a negative number
decreases, the absolute value of
the number decreases.
option D is true statement. that is the absolute value of the negative number will decreases with decreases in negative number.
What is Absolute value of a number?
Absolute value describes the distance from zero that a number is on the number line, without considering its direction that is the absolute value of a number is never negative.
In other words Absolute value is the modulus of any number.
A ) False : the absolute value of the positive number will increase with increase in positive number.
B ) False : the absolute value of the positive number will decreases with decreases in positive number.
C) False : the absolute value of the negative number will increase with increase in negative number.
D) TRUE: the absolute value of the negative number will decreases with decreases in negative number.
Therefore, option D is true.
Read more about absolute value at:
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what is 16x <20 on a number line?
[tex]x < \frac{20}{16} = \frac{5}{4} = 1.25 \\ x < 1.25[/tex]
i hope it helps u :)
Summary information on the heights of 64 bass and 42 tenor singers, all men, in the New York Choral Society is given. The vocal range of bass voice part is lower in pitch than the alto voice part. Use 1% level of significance to determine whether the population mean height of bass singers is greater than the population mean height of tenor singers.
Answer:
Hello your question has some missing information below is the missing information
Sample mean and Sample standard deviation
Bass 70.99 and 2.52
Tenor 69.41 and 2.79
answer : We will reject H0
Step-by-step explanation:
Determine whether the population mean height of bass singers > population mean height of tenor singers
n1 = 64 , n2 = 42
x1 ( mean ) = 70.99
x2( mean ) = 69.41
S1 ( std 1 ) = 2.52
S2 ( std 2 ) = 2.79
We will perform a two tailed test hence we will state the null and alternate hypothesis
H0 : μ1 > μ2
H1 : μ1 < μ2
significance level = 0.01
next calculate the test statistic
t = 2.96
attached below is the remaining part of the detailed solution
Find the equivalent equation
1. 4+ 4w
2 18w+9
3. 18+6x
4. 21x+42
5. 25x+45
Answer:
see below
Step-by-step explanation:
1. 4 + 4w
Take out a 4 from each term.4(1 + w)2. 18w + 9
Take out a 9 from each term.9(2w + 1)3. 18 + 6x
Take out a 6 from each term.6(3 + x)4. 21x + 42
Take out a 21 from each term.21(x + 2)5. 25x + 45
Take out a 5 from each term.5(5x + 9)Hope this helps!
A university wants to investigate how much its students spend on textbooks each semester. Since all
students must purchase their materials through the campus bookstore, a random sample of 15 student
accounts is selected, and the averagą dollar amount spent on textbooks is calculated.
Which of these circumstances would make it inappropriate to use this sample to calculate a 95%
confidence interval for the mean amount spent on books by students at this university?
The standard deviation of the textbook costs is below $30.
The standard deviation of the textbook costs is larger than $100.
A stem-and-leaf plot of the textbook costs shows a roughly symmetric distribution
A histogram of the textbook costs is calculated and shows a slight skew to the right.
A boxplot of the textbook costs shows two students whose amounts would qualify as outliers,
Answer:
Step-by-step explanation:
What is the area of the irregular figure below?
A figure can be broken into a parallelogram and triangle. The parallelogram has a baes of 4 inches and height of 6 inches. The triangle has a base of 4 inches and height of 6 inches.
36 Inches squared
48 Inches squared
144 Inches squared
288 Inches squared
Answer:
B, 48 inches
Step-by-step explanation:
First calculate the area of the parallelogram: 4 x 6
4 x 6 = 24
Then calculate the area of the triangle: 4 x 6
4 x 6 = 24
Then you add the two areas: (4 x 6) x 2 or 24 x 2
24 x 2 = 48
Therefore, your answer is B, 48 inches
Answer:
36
Step-by-step explanation:
Can someone please answer these two questions
Answer:
A.
Step-by-step explanation:
I need help on my trig can someone help me on the question please and thank you
Answer:
210 degrees
Step-by-step explanation:
Convert the problem from radians to degrees using the ratio 180/ and it will give you 210.
(12x - 3)* 105*. What is the value
of x in the figure
at the right?
Add 1/4+9/14+6/7. Simplify the answer and write it as a mixed number.
Answer:
In words - thirty-nine ninths minus twenty-five ninths = fourteen ninths.
Cassandra works for a company that is based off her sales. If she is paid 9.5% of her total monthly sales, calculate her pay for the month if she sells $15,670 of product.
Answer:
I don't understand what you mean. but 10.43 i guess
16 ft
12 ft
4 ft
16ft
Area
Answer:
your answer is 48feet
Step-by-step explanation:
16+12+4+16=48ft
I hope this helps
have a nice day/night
mark brainliest please ")
EL QUE ME AYUDE CON ESTO LE DOY CORONA ._.
TEMA : TEORIA DE EXPONENTES
- Al aplicar la ley de exponentes la expresión se reduce a:
Answer:
S = [tex]\frac{36}{25}[/tex]
Step-by-step explanation:
Given expression is,
S = [tex]\sqrt[3]{[(\frac{3}{2})^{-2}+6^{-3}+(\frac{3}{2})^{-3}-6^{-1}}]^{-2}[/tex]
S = [tex]\sqrt[3]{[(\frac{2}{3})^{2}+(\frac{1}{6})^{3}+(\frac{2}{3})^{3}-(\frac{1}{6})}]^{-2}[/tex]
= [tex]\sqrt[3]{[\frac{4}{9}+\frac{1}{216}+\frac{8}{27}-\frac{1}{6}}]^{-2}[/tex]
= [tex]\sqrt[3]{(\frac{96+1+64-36}{216})^{-2}}[/tex]
= [tex]\sqrt[3]{(\frac{125}{216})^{-2}}[/tex]
= [tex]\sqrt[3]{(\frac{216}{125})^{2}}[/tex]
= [tex]\sqrt[3]{(\frac{216}{125})\times (\frac{216}{125})}[/tex]
= [tex]\sqrt[3]{(\frac{6\times 6\times 6}{5\times 5\times 5})\times (\frac{6\times 6\times 6}{5\times 5\times 5})}[/tex]
= [tex]\sqrt[3]{(\frac{6}{5})^3\times (\frac{6}{5})^3}[/tex]
= [tex]\frac{6}{5}\times \frac{6}{5}[/tex]
= [tex]\frac{36}{25}[/tex]
Verify the Identity.
tan²xsin²x = tan²x-sin²x
tan²(x) - sin²(x) = sin²(x)/cos²(x) - sin²(x)
… = sin²(x) (1/cos²(x) - 1)
… = sin²(x) (sec²(x) - 1)
… = sin²(x) tan²(x)
A jar contains 5 yellow marbles numbered 1 to 5 and 12 blue marbles numbered 1 to 12. A marble is drawn from the jar. Find the probability the marble is even numbered given the marble is yellow.
Answer:
0.4 = 40% probability the marble is even numbered given the marble is yellow.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
There are 5 yellow marbles, which means that the number of total outcomes is [tex]T = 5[/tex]
2 of those(2 or 4) are even numbered, which means that the number of desired outcomes is [tex]D = 2[/tex]
Find the probability the marble is even numbered given the marble is yellow.
[tex]p = \frac{D}{T} = \frac{2}{5} = 0.4[/tex]
0.4 = 40% probability the marble is even numbered given the marble is yellow.
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X =
= [?]
D
AK
X/78°
B
-С
Angles are not drawn to scale.
Enter
x=102°
Answer:
x+78=180 supplementary angle
x=180-78=102