Answer:
17
Step-by-step explanation:
The measure of angle R is 17°
What is a triangle?A triangle is a polygon with three edges and three vertices.
Given is a triangle, PQR and measurements of the angles are given as, m∠P=(4x−14), m∠Q=(5x+6) and m∠R=(x−2)
We know that, the sum of the interior angles of a triangle is 180°
Therefore, ∠ P + ∠ R + ∠ Q = 180°
4x-14 + 5x+6 + x-2 = 180°
10x -10 = 180°
10x = 190°
x = 19°
Now, ∠ R = x-2
∴ ∠ R = 19-2
∠ R = 17°
Hence, the measure of angle R is 17°
For more references on triangles, click;
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(a) A yoga instructor collected student data. She found that students who had less sleep did not tend to burn more or fewer calories
during class. What can she conclude?
There is no correlation between amount of sleep and number of calories burned.
There is a correlation between amount of sleep and number of calories burned. There may or may not be causation. Further studies would
have to be done to determine this.
There is a correlation between amount of sleep and number of calories burned. There is probably also causation. This is because there is likely
an increase in the number of calories burned with an increase in the amount of sleep.
Answer:
The answer is ( A) -There is no correlation between amount of sleep and number of calories burned
Step-by-step explanation:
Question 17
(01.07 LC)
What is the product of 2.4 ⋅ 103 and 1.5 ⋅ 103? (1 point)
Question 17 options:
1)
3.6 ⋅ 106
2)
3.9 ⋅ 106
3)
3.6 ⋅ 109
4)
3.9 ⋅ 109
Answer:
3)
3.6 • 109
Step-by-step explanation:
i think lang naman bat kaylangan ng explanation charr!!
At noon, a tank contained 5 cm of water. After several hours, it contained 4 cm of water. What is the percent decrease of water in the tank?
Answer:
20%
Step-by-step explanation:
Given parameters:
Initial volume of water = 5cm³
New volume of water = 4cm³
Unknown:
Percentage decrease of water in the tank = ?
Solution:
To find the percentage decrease;
Percentage decrease = [tex]\frac{Old - New}{Old}[/tex] x 100
Percentage decrease = [tex]\frac{5-4}{5}[/tex] x 100 = 20%
I need this done like rn so please help!
Answer:
No, because the number in 2011 multiplied by three is less than the number in 2015.
Step-by-step explanation:
i dunno just makes sense
Answer:
I think that it did not because 555*3 is not 900 so it can't equal it.
Step-by-step explanation:
find the lowest number of four digits that can be divided by 22,36,and 42
Answer:
find the lcm of 22,36,and 42
Step-by-step explanation:
lcm of 22 = 11 x 2
lcm of 36 = 2 x 2 x 3 x 3
lcm of 42 = 2 x 3 x 7
so the lcm of three numbers are 11 x 2 x 2 x 2 x 3 x 3 2 x 3 x 7 = 1000
Answer:
2,772
Step-by-step explanation:
First we find the LCM (Least common multiple) of the given numbers.
2 | 22, 36, 42
2 | 11, 18, 21
3 | 11, 9, 21
3 | 11, 3, 7
7 | 11, 1, 7
11 | 11, 1. 1
| 1, 1, 1,
LCM of 22, 36, 42 = 2*2*3*3*7*11 = 2,772
Thus, the lowest number of four digits that can be divided by 22,36,and 42 is 2772.
Pls HELP I am trying to make a schedule today is Friday nov, 27th and you have four courses to get done befor January 15th which is in 49 days on the course science you have 55 assignments left on math you have 24 assignments left on English you have 54 left and on social studies you have 19 assignments left to do how many assignments on EACH course do you have to do every day befor January 15th?
Pls answer with how many on each course you should do every day for example: Science -- 2 every day math--5 every day.
Answer:
may God lay a helping hand
On a certain hot summer's day, 647 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $1213.50. How many children and how many adults swam at the public pool that day?
Andy runs 43.68 meters in 6.825 seconds. If Andy runs at a constant speed, how far does he run in one second?
Answer:
7 meters
Step-by-step explanation:
9) Solve: a^2+ b^2= c^2 for b
Answer:
b = ±√(c² - a²)Step-by-step explanation:
Given equation
a²+ b²= c²Solving for b:
b² = c² - a²√b² = √(c² - a²)b = ±√(c² - a²)Answer:
b = ±√(c² - a²)
Step-by-step explanation:
We have to get the value of B.
Step 1: (b squared = c squared - a squared)
b² = c² - a²
Step 2: (cube root of b squared = cube root of c squared and a squared)
√b² = √(c² - a²)
We get the answer as:
b = ±√(c² - a²)
what is the difference between (4,4) and (1,-3)
Answer:
7/3
Step-by-step explanation:
If I solved it correctly, you use y2-y1 / x2-x1. From here you get -3-4/1-4=-7/-3 which when you divide equals 7/3. LMK IF its wrong and ill figure it out champ!
Solve the following equation for x 2x+22y=18
Answer:
x = -9 + 11y
Step-by-step explanation:
Simplifying
2x + -22y = -18
Solving
2x + -22y = -18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '22y' to each side of the equation.
2x + -22y + 22y = -18 + 22y
Combine like terms: -22y + 22y = 0
2x + 0 = -18 + 22y
2x = -18 + 22y
Divide each side by '2'.
x = -9 + 11y
Simplifying
x = -9 + 11y
Hope this helps!!
A ratio can be expressed __ as a description, with a ___ , or as a ___.
Answer:
Answer - words, colon, fraction
Step-by-step explanation:
A ratio can be expressed in words as a description, with a colon between 2 quantities, or as a fraction.
EXPLANATION:
A ratio is a statement of the quantitative relationship between two numbers in a given scenario.
- It can be expressed in words as a description of the relationship. E.g. "Ratio 2 to 8"
- It can be expressed with a colon. E.g. "2:8"
- It can be expressed as a fraction. E.g. "2/8"
Which statement could the expression 13 + x represent? Andrea has 13 eggs and bought 13 more. Victoria has 13 flowers. This is greater than the number of flowers Elisa has. Prakhar is 13 years older than his youngest sister. Kai is 13 blocks from home. Jack is a greater distance away.
Kai is 13 blocks from home. Jack is a greater distance away.
In this statement, 13 would represent the distance Kai is from home.... x would equal how much further away Jack is.
Hope this helps!!! Have an amazing day!!!! :)
Prakhar is 13 years older than his youngest sister. :) <3
Is 4/10 closer to 0, 1, 1/2
Answer:
1/2
Step-by-step explanation:
Divide the denominator in half
10/2 = 5
4 is close to 5 so 4/10 is close to 1/2
Answer:
4/10 is closer to 1/2.
Think of a pie. There are 10 slices total, but only 4 slices remain, because I ate them all! Do you think that 4 out of 10 slices would be closer to a whole pie or half a pie? It would be closer half a pie.
Further explanation:
If you were to round the number 44 to the closest ten, it would be 40. If you were to round 47 to he nearest ten, it would be 50. If you were to round 45 to the nearest ten, it would also be 50. I hope this helps!
Half (1/2) is the answer.
A pair of dice is rolled 180 times. What is the
probability that a total of 7 occurs
(a) at least 25 times?
(b) between 33 and 41 times inclusive?
(c) exactly 30 times?
Answer:
0.86433
0.29782
0.07966
Step-by-step explanation:
Given that :
Number of trials (n) = 180
Probability that a total of 7 occurs
To obtain a total of 7 from a pair of dice :
Combinations:
(1,6) ; (2,5) ; (3,4) ; (4,3) ; (5,2) ;(6, 1)
Sample space when a pair of dice is rolled = 6² = 36
Probability of success (p) = number of 7
combination possible ÷ sample space)
p = 6 / 36 = 0.1667
q = p' = 1 - p = 1 - 0.1667 = 0.8333
Using Normal approximation :
Mean (m) = np = 180 * 0.1667 = 30.006
Standard deviation (σ) = √npq
σ = √(180 * 0.1667 * 0.8333)
σ = 5.0003999
σ = 5.00
(a) at least 25 times?
P(x ≥ 25)
x = 25 - 0.5 = 24.5
Obtain the Zscore :
Z = (x - m) / σ
Z = (24.5 - 30) / 5
Z = -5.5/5
Z = -1.1
P(z ≤ - 1.1)
USing the z probability calculator :
P(z≥ - 1.1) = 0.86433
(b) between 33 and 41 times inclusive?
P(32.5 ≤ x ≤ 41.5)
Z =[ (32.5 - 30) / 5] ≤ x ≤ [ (41.5 - 30) / 5]
Z = 2.5/5 ≤ x ≤ 11.5 /5
Z = 0.5 ≤ x ≤ 2.3
Using z probability calculator :
P(z ≤ 0.5) = 0.69146
P(z ≤ 2.3) = 0.98928
0.98928 - 0.69146 = 0.29782
(c) exactly 30 times?
P(x = 30)
P(29.5 ≤ x ≤ 30.5)
Z =[ (29.5 - 30) / 5] ≤ x ≤ [ (30.5 - 30) / 5]
Z = - 0.5/5 ≤ x ≤ 0.5 /5
Z = - 0.1 ≤ x ≤ 0.1
Using z probability calculator :
P(z ≤ - 0.1) = 0.46017
P(z ≤ 0.1) = 0.53983
0.53983 - 0.46017 = 0.07966
Using the normal approximation to the binomial, it is found that there is a:
a) 0.8643 = 86.43% probability that a total of 7 occurs at least 25 times.
b) 0.2978 = 29.78% probability that a total of 7 occurs between 33 and 41 times inclusive.
c) 0.0796 = 7.96% probability that a total of 7 occurs exactly 30 times.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem:
When 2 dice are rolled, there are 36 possible outcomes, of which 6 of them[(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)] result in a sum of 7, thus the parameter p is [tex]p = \frac{1}{6}[/tex].The pair of dice are rolled 180 times, thus [tex]n = 180[/tex].The mean and standard deviation are given by:
[tex]\mu = np = 180\frac{1}{6} = 30[/tex]
[tex]\sigma = \sqrt{np(1-p)} = \sqrt{180\frac{1}{6}\frac{5}{6}} = 5[/tex]
Item a:
Using continuity correction, this probability is [tex]P(X \geq 25 - 0.5) = P(X \geq 24.5)[/tex], which is 1 subtracted by the p-value of Z when X = 24.5. Hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24.5 - 30}{5}[/tex]
[tex]Z = -1.1[/tex]
[tex]Z = -1.1[/tex] has a p-value of 0.1357.
1 - 0.1357 = 0.8643.
0.8643 = 86.43% probability that a total of 7 occurs at least 25 times.
Item b:
Using continuity correction, this probability is [tex]P(33 - 0.5 \leq X \leq 41 + 0.5) = P(32.5 \leq X \leq 41.5)[/tex], which is the p-value of Z when X = 41.5 subtracted by the p-value of Z when X = 32.5. Hence:
X = 41.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{41.5 - 30}{5}[/tex]
[tex]Z = 2.3[/tex]
[tex]Z = 2.3[/tex] has a p-value of 0.9893.
X = 32.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{32.5 - 30}{5}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
0.9893 - 0.6915 = 0.2978.
0.2978 = 29.78% probability that a total of 7 occurs between 33 and 41 times inclusive.
Item c:
Using continuity correction, this probability is [tex]P(30 - 0.5 \leq X \leq 30 + 0.5) = P(29.5 \leq X \leq 30.5)[/tex], which is the p-value of Z when X = 30.5 subtracted by the p-value of Z when X = 29.5. Hence:
X = 30.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 30}{5}[/tex]
[tex]Z = 0.1[/tex]
[tex]Z = 0.1[/tex] has a p-value of 0.5398.
X = 29.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29.5 - 30}{5}[/tex]
[tex]Z = -0.1[/tex]
[tex]Z = -0.1[/tex] has a p-value of 0.4602.
0.5398 - 0.4602 = 0.0796.
0.0796 = 7.96% probability that a total of 7 occurs exactly 30 times.
A similar problem is given at https://brainly.com/question/19054425
George bought 7,5 cases of pancake mix for his diner. A case contains 12 1.3-pound boxes. How many pounds of pancake mix did george buy?
Answer:
7.5 x 12 = 90 to find out how many boxes
Then take the boxes x 1.3 = 117 pounds
Answer:
Déjà Vu
Step-by-step explanation:
i ve been reading this test before
when you subtract 8from 10 what is the different
Answer:
2
Step-by-step explanation:
Difference = 10 - 8 = 2
Hope it helps you in your learning process.
Alex purchased 1 adult ticket and 2 student tickets for a total of $22. Jen purchased
1 adult ticket and 3 student tickets for a total of $28.
Let a = cost of adult ticket
Let s = cost of student ticket
Write the two equations which could be used to solve this problem using
elimination.
Answer:
C. a + 2s = $22
a + 3s = $28
Step-by-step explanation:
a = cost of adult ticket
s = cost of student ticket
✍️Cost of adult tickets purchased by Alex = 1 * a = a
Cost of 2 students tickets purchased by Alex = 2 * s = 2s
Total cost of total ticket purchased by Alex = $22
Therefore, equation for Alex would be:
✅a + 2s = $22
✍️Cost of adult tickets purchased by Jen = 1 * a = a
Cost of 3 students tickets purchased by Alex = 3 * s = 3s
Total cost of total ticket purchased by Alex = $28
Therefore, equation for Jen would be:
✅a + 3s = $28
✍️The answer would be option C:
a + 2s = $22
a + 3s = $28
To the nearest millimeter, a cell phone is 74 mm long and 42 mm wide. What is the ratio of the width to the length?
Answer:
You will want to compare the width to the length, or 42 mm/ 74mm ...the units cancel, which is what you want for a ratio...and you usually want to simplify your ratio
Hope that helps
solve 1,000x10 hint: use a strategy
Answer:
10000
Step-by-step explanation:
Answer:
10,000
Step-by-step explanation:
You just take the 0's and then you mutiply 1x1 and the answer you add the cero's you left the one from the number 10 and allso the ones from 1000
A calculator is able to generate random numbers from the interval (0, 1). We need five random numbers from (0, 2/5). Using this calculator, how many independent random numbers should we generate, on average, to find the five numbers needed?
Answer:
12.5
Step-by-step explanation:
Using the negative binomial method, we can solve this question. Try defining the variable with parameters (r,p) with success probability p.
Hope this helped!
A group of 12 friends bought tickets for an afternoon concert. However, not all of the friends were able to sit together. Tickets for floor seats cost $45 each, and tickets for tier seats cost $60 each. The total cost of the tickets was $585. How many tickets for tier seats did they purchase?
Answer:
They purchased 3 tickets for tier seats.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=12 (1)
45x+60y=585 (2), where
x is the number of tickets for floor seats
y is the number of tickets for tier seats
First, you can solve for x in (1):
x=12-y (3)
Next, you can replace (3) in (2):
45(12-y)+60y=585
540-45y+60y=585
15y=585-540
15y=45
y=45/15
y=3
Now, you can replace the value of y in (3) to find x:
x=12-3
x=9
According to this, the answer is that they purchased 3 tickets for tier seats.
A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively?
Answer: -81
Step-by-step explanation:
Let x = the car moving towards west = 30
Let y = truck moving towards north = 40
dx/dt = -55
dy/dt = -60
We the use Pythagoras theorem to solve further where,
s² = x² + y²
s² = 30² + 40²
s² = 900 + 1600
s² = 2500
s =✓2500
s = 50
We then differentiate with respect to t, then we will have:
s² = x² + y²
2s ds/dt = 2x ds/dt + 2y dy/dt
50 ds/dt = (30 × -55) + (40 × -60)
50 ds/dt = -1650 - 2400
50 ds/dt = - 4050
ds/dt = -4050/50
ds/dt = -81
A construction company is building a small deck for a customer and plans to use for the two boards that are 12 3/4 feet, four boards that are 13 5/8 feet, and two boards that are 10 1/2 feet. Find the total number of feet in all the boards
9514 1404 393
Answer:
101 feet
Step-by-step explanation:
Multiply the number of boards by the length of the boards, and add the products.
2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101
The total length of the boards is 101 feet.
Please someone help me graph the table on to the graph and tell me if it is a linear and nonlinear and explain how it is a linear or a nonlinear
Answer:
linear
Step-by-step explanation:
m = [tex]\frac{difference-- between-- y-coordinats}{difference-- between-- x-coordinats}[/tex] = [tex]\frac{-4}{1}[/tex] = - 4 ⇒ [1 - 1, 10 - ( - 4)] = (0, 14) is y-coordinate.
equation of the function is y = - 4x + 14 ⇒ function is linear
Find each absolute value | 2+3i |
2+3i
that's the answer.
Answer:
your answer is | 2+3i | its a trick question
Step-by-step explanation:
the picture is the answer
Answer:
4. 3
The answer is the last option, all you do is reduce
Step-by-step explanation:
rise over run = rise/run = 6/2
reduce,
6/2
3/1
3x
What kind of line can be drawn through the points (2, 3) and (-2, 3)?
Answer:
a zero line
Step-by-step explanation:
i dont have a diagram to show
Type the correct answer in each box. Use numerals.
Solve the given system of equations.
2y = -x + 9
3x - 6y = - 15
The solution to the system is ( __ , __ )
Which of the following is not an example of using the distributive property to multiply 12 times 22?
O 12(20 + 2)
o 22(10 + 2)
O 10(2.22)
Answer:
The third one.
Step-by-step explanation:
Both A and B are correct and should give you the same answer when you apply the distributive property.
12 * 20 + 2 * 12 = 240 + 24 = 264
22(10) + 22*2 = 220 + 44 = 264
The third one just give anything near 264.