Answer:
85º and 95º
Step-by-step explanation:
supplementary angle total 180
(8x – 3) + (7x + 18) = 180
Combine like terms
15x + 15 = 180
15x = 165
x = 11
---------------------
8x – 3
8(11) - 3
88 - 3
85º
7x + 18
7(11) + 18
77 + 18
95º
Identify the quantifier in the statement as either universal or existential.
No men can join a sorority.
-The quantifier is universal.
-The quantifier is existential.
Answer:
The quantifier is universal.
Step-by-step explanation:
In logic, a universal quantifier is one in which it is made clear that the stated pattern holds in all cases for the stated quantity; whereas an existential quantifier establishes that the stated quantity is a minimum floor in which the stated pattern exists.
Thus, given that the guideline says that no man can integrate a sisterhood, this implies that the guideline applies in all cases for the stated quantity, thus it is a universal quantifier.
I would appreciate if someone could answer this :)
Answer:
x = 3
Step-by-step explanation:
(-2 + 40x) + 62° = 180° (adjacent angles are supplementary)
-2 + 40x + 62 = 180
Add like terms
40x + 60 = 180
Subtract 60 from each side
40x + 60 - 60 = 180 - 60
40x = 120
Divide both sides by 40
40x/40 = 120/40
x = 3
There are 10 students in a
class. How many different
ways can they line up?

Romeo is chucking pebbles gently up to Juliet's window, and he wants the pebbles to hit the window with only a horizontal component of velocity. He is standing at the edge of a rose garden 4.5m below her window and 5.0m from the base of the wall. How fast are the pebbles going when they hit her window?
Answer:
4.45 m/s
Step-by-step explanation:
Vertical distance, Sy = 5m
The speed of pebble when they hit her window :
Vx = Sx / t
We can obtain t using the relation :
Sy = 1/2 * at²
Where, a = acceleration due to gravity = 9.8m/s²
We can obtain t
5 = 1/2 * 9.8 * t²
5 = 4.9t²
t = √5/4.9
t = 1.01 seconds
Hence,
Speed, Vx = Sx / t
Vx = 4.5 / 1.01
Vx = 4.45 m/s
If f(x) = 8x and g(x) = 2x +1 find (f o g) (x)
Answer:
(fog) (x) = 8*(2x+1)=16x+8
Step-by-step explanation:
find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 6.
Answer:
5
Step-by-step explanation:
2
Question
If the average (arithmetic mean) of x, y, and 24 is 10, what is the average of x and y?
02.
03
06
o It cannot be determined from the information given
Answer:
I don't know
Step-by-step explanation:
the answer is 0.2
The average of x and y is 03
How to determine the average?The average of the three numbers is given as:
Average = 10
This means that:
(x + y + 24)/3 = 10
Multiply both sides by 3
x + y + 24 = 30
Subtract 24 from both sides
x + y = 6
Divide by 2
(x + y) = 3
Hence, the average of x and y is 03
Read more about average and mean at:
https://brainly.com/question/20118982
#SPJ6
Suppose the probability of a false positive result on a mammogram is 7% and that radiologists' interpretations of mammograms are mutually independent in the sense that whether or not a radiologist finds a positive result on one mammogram does not influence whether or not a radiologist finds a positive result on another mammogram. Assume that a woman has one mammogram every year for ten years.
(a) What is the probability (as a %) that she will have no false positive results during that time?
(b) What is the probability (as a %) that she will have at least one false positive result during that time?
(c) What is the probability (as a %) that she will have exactly two false positive results during that time?
(d) Suppose that the probability of a false negative result on a mammogram is 3%, and assume that the probability that a randomly chosen woman has breast cancer is 0.0003.
(i) If a woman has a positive test result one year, what is the probability (as a %) that she actually has breast cancer?
(ii) If a woman has a negative test result one year, what is the probability (as a %) that she actually has breast cancer?
Answer:
a) 48.4%
b) 51.6%
c) 12.3%
d) i) 93.0% ii) 3.0%
Step-by-step explanation:
a)
P(fp) = probability of false positive result
P(fp) = 0.07
P(fp = 0) = (1 - 0.07)¹⁰
P(fp = 0) = 0.4839... ⇒ 48.4%
b)
P(fp = 1) = 1 - 0.4839...
P(fp = 1) = 0.516... ⇒ 51.6%
c)
P(fp = 2) = 10C2(0.07)²(0.93)⁸
P(fp = 2) = 0.123... ⇒ 12.3%
d)
P(fn) = probability of false negative
P(b) = probability a randomly selected woman has breast cancer
P(fn) = 0.03
P(b) = 0.0003
If she has a positive test, it is either a true positive, meaning she actually has breast cancer, or a false positive, meaning she doesn't;
If P(fp) = 0.07, then the probability of a true positive is 0.93 or 93%
ii)
If she has a negative test, a true negative means she doesn't have breast cancer, and a false negative means she does have breast cancer;
The probability of a false negative is 0.03 or 3%
(I'm not entirely sure about part d, but I've answered as I've understood it according to my logic, they seem to be somewhat trick questions unless I've incorrectly understood the questions)
Look at ZV SW and ZTSW in the image below.
Which of the following is the best description for this pair of angles?
O acute
O complementary
O straight
supplementary
Answer:
Supplementary is your answer
The total cost c a roof technician charges to fix a sink in a house depends on the number h of hours it takes to assess the damages to the roof and repair the roof. This situation can be represented by the function rule 32h + 145. What is the total cost the roofer will charge if he works for 19.25 hours?
Answer:
I believe it is 761 is the cost the roofer will charge.
Step-by-step explanation:
First: Multiply 32 with 19.25 (standing for h), which equals to 616.
Second: Add 616 with 145, which adds up to 761.
what is the best teaching learning material in mathematics for kids?
Answer:
Step-by-step explanation:
Dice, cards, spinners and the like are interactive and engaging math aids to get children involved in learning about probability, chance, number patterns and statistics.
Mary needs a laptop. She decided to barrow one on hire purchase. The marked price of the laptop $100, 200 and she had to pay a deposit of 10% of the marked price. If the total hire purchase price of the laptop is $142, 020 after a 5 year payment plan, how much was Mary’s monthly payments?
Answer:
2, 367
Step-by-step explanation:
142,020 / 5 = 28, 404
28, 404 / 12 = 2, 367
6th work. What measure of Central tendency is calculated by adding all the values and diving the sum by the number of values
A) Median
B) Mean
C) Mode
D) Range
what is the least common denominator of 1/3 and 4/7?? plsss explain
Answer:
21
Step-by-step explanation:
The smallest number that can go into both 3 and 7 as our denominators is 21. This can be worked about by multiplying them together.
(FYI: In some cases, if the product is even, it may not always work to multiply them together)
Answer:
21
hope this helps
have a good day :)
Step-by-step explanation:
3 multiples are 3, 6, 9, 12, 15, 18, 21, 24
7 multiples are 7, 14, 21, 28
so would need to change both denominators to 21 and multiple 7 and to 1/3 to get 7/21 and 3 to 4/7 to get 12/21
find the equation of the striaght line passing through (3, 5) which is perpendicular to the line y=3x+2
Answer:
pls provide with a graph
Solve using the quadratic formula
Answer:
-5, -1/2
Step-by-step explanation:
I could only show half of the steps, but you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps.
What is the tangent of 0?
Step-by-step explanation:
tan 0 = 5/ √11 = 5√11 /11
__________
Answer:
5 / √11
Step-by-step explanation:
tan θ = opposite side / adjacent side
tan θ = 5 / √11
Geometry work HELP ASAP trying to find the measure of a circumference!!
Answer:
65 degrees
Step-by-step explanation:
Since it is given that AB=DC
then we know that AO=DO and BO=CO because it is the radius of a same circle.
Hence the shapes are equal and thus DOC=65 degree as it serves as a corresponding angle to AOB
4 to the power of -3 as fraction
Answer:
Step-by-step explanation:
4^-3
=1/4^3
=1/64
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
[tex]4^{-3} = 0.015625[/tex]
[tex]0.015625 = \frac{1}{64}[/tex]
from 5 metres of cloth Alexa cut 217 cm how much cloth remaining after cutting
Answer:
2.83 meters
Step-by-step explanation:
Change 217 cm to meter
217 * 1 m/ 100 cm = 2.17 m
5 meter - 2.17 m = 2.83 meters
Answer:
283 cm Or 2.83 m of cloths remaining after cutting.
Step-by-step explanation:
Alexa have a cloth measures 5 metre and she cut 217 cm clothes.As we know that
1 m = 100 cm
so, 5 m = 5 × 100 = 500 cm
Alexa cut 217 cm of clothesSubtract 217 cm from 500 cm
➛ 500 - 217
➛ 283 cm Or 2.83 m
Plz Help more than one !!!!!!!!!!!!!!!!!!
Answer:
The correct option is (b).
Step-by-step explanation:
We need to find the equivalent to -2(4-3x)+(5x-2)
Using the associative property,
-2(4-3x) = -2(4)+2(3x)
= -8+6x
So,
-2(4-3x)+(5x-2) = -8+6x +5x-2
taking like terms together,
-2(4-3x)+(5x-2) = 6x+5x-8-2
= 11x-10
The equivalent expression is equal to (11x-10).
Help please!! Step by step!!
Answer:
[tex]P(Ice Cream|Frogtown) = 67.4\%[/tex]
Step-by-step explanation:
Given
The attached plot
Required
P(Ice Cream|Frogtown)
This is calculated as:
[tex]P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}[/tex]
From the attachment;
[tex]P(Ice\ Cream\ n\ Frogtown) = 0.31[/tex]
[tex]P(Frogtown) = 0.31 + 0.15 = 0.46[/tex]
So, we have:
[tex]P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}[/tex]
[tex]P(Ice Cream|Frogtown) = \frac{0.31}{0.46}[/tex]
[tex]P(Ice Cream|Frogtown) = 0.6739[/tex]
Express as percentage
[tex]P(Ice Cream|Frogtown) = 0.6739 * 100\%[/tex]
[tex]P(Ice Cream|Frogtown) = 67.39\%[/tex]
[tex]P(Ice Cream|Frogtown) = 67.4\%[/tex] -- approximated
Pleas help will mark brainlist!
Geometry
This makes a cube because a cube has 6 faces, 8 vertices, and 12 edges.
What is 5x5 answer for a cookie
Answer:
25
Step-by-step explanation:
a rectangular container of length 40cm and width 36cm was filled with 57600cm of water. find the depth of the water in the container.
Answer:
40 cm
Step-by-step explanation:
57600 is the volume here
Because "was filled with 57600cm of water."
- NOTE : Volume can Never change unless There is a Subtracted amount of water That's Removed36 x 40 x n = 57600
n = 40
For a left-tailed test, the critical value of z so that a hypothesis test would reject the null hypothesis at 1% significance level would be __________. Answer choices are rounded to the hundredths place. -1.03 -3.09 -2.33 -1.28
Answer:
C.-2.33
Step-by-step explanation:
We are given that
Significance level, [tex]\alpha =1[/tex]%=0.01
We have to find the critical value of z for a left-tailed test.
To find the critical value , we will use the z-table at significance level 0.01 for left-tailed test.
By using the z-table at significance level 0.01 for left-tailed test
The critical value of z at 1% significance level for left-tailed test
=-2.33
We get p-value by using z-critical value
P-value=0.0099<0.01
So, hypothesis test would be reject the null hypothesis at at 1% significance level.
Hence, the critical value of z=-2.33
Option C is true.
Two angles of a triangle measure 22° and 530. What is the measure of the
third angle?
9514 1404 393
Answer:
105°
Step-by-step explanation:
The sum of measures of angles in a triangle is 180°. The third angle is ...
180° -22° -53° = 105°
Below are monthly rents paid by 30 students who live off campus.
590 590 590 790 560 450 550 890 600
480 580 520 420 600 510 520 710 775
460 480 620 550 570 365 590 660 680
700 580 630
Required:
a. Find the mean, median, mode, and standard deviation.
b. Which measure or measures of central tendency are most appropriate for this data set?
c. Do the measures of central tendency agree?
Answer:
Mean = 587
Median = 585
Mode = 590
Standard deviation = 112.538
The mean and the median
Yes, both mean and median have close values
Step-by-step explanation:
Given the data:
365, 420, 450, 460, 480, 480, 510, 520, 520, 550, 550, 560, 570, 580, 580, 590, 590, 590, 590, 600, 600, 620, 630, 660, 680, 700, 710, 775, 790, 890
The mean, m = Σx / n = 17610 / 30
Mean = 587
The median = 1/2(n+1)th term
Median = 1/2(31)th term
Median = 15.5th = (580+590) / 2 = 585
The mode = 590 (observation with highest frequency, 4)
Standard deviation, s = √Σ(x-m)²/(n-1)
s = 112.538
What are the domain and range of the function hx) = 5x+3+1?
-10
8
2.
-10
6
4
-8
10
- 2
6
s
-10
O domain: all real numbers greater than 1
range: all real numbers
O domain: all real numbers
Step-by-step explanation:
domain : i think is x > 4/3
range : y >4
The list shows the number of students in various college classes: 32, 19, 89, 102, 157, 25, 189, 36, 48
What is the median?(Q2)?
Answer:89
Step-by-step explanation:
Step-by-step explanation:
The median is the middle value of the data set arranged in ascending order, that is smallest to largest.
