Answer:
[tex]x = 9.4[/tex]
[tex]y = 17.7[/tex]
Step-by-step explanation:
Given: The figure
Required: Find x and y
The relationship between length x, length 15 and angle 32 is as follows:
[tex]tan \theta = \frac{opp}{adj}[/tex]
So, we have:
[tex]tan\ 32= \frac{x}{15}[/tex]
Cross multiply:
[tex]x =15*tan\ 32[/tex]
[tex]x = 15 * 0.6248693519[/tex]
[tex]x = 9.3730402785[/tex]
[tex]x = 9.4[/tex] --- approximated
Similarly:
The relationship between length y, length 15 and angle 32 is as follows:
[tex]cos \theta = \frac{adj}{hyp}[/tex]
So, we have:
[tex]cos\ 32= \frac{15}{y}[/tex]
Cross Multiply:
[tex]y * cos\ 32= 15[/tex]
Solve for y
[tex]y = \frac{15}{cos\ 32}[/tex]
[tex]y = \frac{15}{0.84804809615}[/tex]
[tex]y = 17.6876760506[/tex]
[tex]y = 17.7[/tex] --- approximated
PLEASE HELP! WILL GIVE BRAINLIEST!
Answer:
Answer is C
Step-by-step explanation:
Using SOH CAH TOA
anyone help, please. CFA 8
S-IC.2: Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.
A drug manufacturer claims that 13% of the population of South Africa is living with HIV. As a World Health Organization researcher, you collect evidence to test this claim. You use statistical techniques to sample 125 random residents of South Africa and find that 20 of them test positive for HIV.
You plan to simulate one sample of 125 residents by randomly selecting 125 integers between 1 and 100.
From your actual sample of 125 residents, what proportion of the sample has HIV? 125
What do the randomly selected numbers represent? Why did you pick 125 of them? The number of residents
What assigned numbers indicate a simulated resident has HIV?
2. You plan to run 100 simulations, each with a random sample of 125 residents.
What do you think the true mean population proportion from the 100 simulations would be close to? Explain why.
Is this a simulation of an observational study or an experimental study? Explain why.
The margin of error for this study is about 0.06 or 6% around the population proportion. Are you able to support the claim of the drug manufacturer? Explain why or why not.
What could be done to make the margin of error smaller and get a better sample of the population? Why does that make sense?
Answer:
gooooooooooooooooo
Step-by-step explanation:
goooooooooooooooooop
1) The proportion of the sample that has HIV is 0.16. 2) The randomly selected numbers represent the HIV status of the simulated residents.
1. The proportion of the sample that has HIV is 20 / 125 = 0.16.
2. The randomly selected numbers represent the HIV status of the simulated residents. We picked 125 of them because that is the sample size of the actual study.
We can assign the numbers 1 to 13 to represent the simulated residents who have HIV. This is because 13% of the population is estimated to have HIV.
I think the true mean population proportion from the 100 simulations would be close to 0.13, the HIV prevalence rate that was estimated in the actual study. This is because the simulations are randomly generated, and the probability of a simulated resident having HIV is 13%.
This is a simulation of an observational study. This is because the researchers are not intervening in the lives of the simulated residents. They are simply observing the HIV status of the simulated residents.
The margin of error for this study is 0.06, which is 6%. This means that the true population proportion of people with HIV could be anywhere between 0.07 and 0.19. The drug manufacturer's claim that 13% of the population has HIV is within this range, so we cannot definitively support or refute their claim.
To make the margin of error smaller and get a better sample of the population, we could increase the sample size. This would give us more data points to work with, which would make our estimate of the population proportion more accurate. Additionally, we could stratify the sample by age, gender, or other factors that could affect the prevalence of HIV. This would help us to ensure that our sample is representative of the entire population.
To learn more about proportion here:
https://brainly.com/question/32027272
#SPJ2
Factor completely
2x^2+7x+5
Answer:
(2x+5)(x+1)
Step-by-step explanation:
We look for two numbers which multiply to 10(that is 2×5) and add to 7. Our numbers are 2and 5
2×5=10 and 2+5=7
Therefore we have
(2x²+2x)+(5x+5)
2x(x+1)+5(x+1)
(2x+5)(x+1)
I NEED HELP ASAP PLEASE
Order the numbers from least to greatest.
-5 1/2
-5.2
-5
-5/2
5.5
Answer:
Least to greatest: -5 1/2, -5.2, -5, -5/2, 5.5
What is the length of the line segment with endpoints (-1, -2) and (4, 10)?
Answer:
u smart biy
Step-by-step explanation:
What is the approximate surface area of the sphere? Round to the nearest hundredth and use 3.14 for 7. Recall the
formula SA-4x7
Answer:
Option (3)
Step-by-step explanation:
Formula to get the surface area of a sphere is,
Surface area of a sphere = 4πr²
Here 'r' = Radius of a sphere
Since, r = 9 units and π = 3.14
Surface area of the sphere = 4(3.14)(9)²
= 1017.36 square ²units
Therefore, Option (3) will be the correct option.
Answer:
c
Step-by-step explanation:
on edge
“The difference of -5 and -11.”
geometry :
find the measure of the exterior angle
Answer:
45
Step-by-step explanation:
i believe its 45 or 55
Answer:
92°
Step-by-step explanation:
(2x - 2)° = x ° + 45°
(2x - 2 - x)° = 45°
(x - 2)° = 45°
x - 2 = 45
x = 45 + 2
x = 47
(2x - 2)° = (2*47 - 2)° = (94 - 2)* = 92°
which list shows the temperatures in order from coldest to warmest in degrees fahrenheit? HELP ME PLSSS I NEED THIS SOON
Answer:
Step-by-step explanation:
The answer is C
(づ。◕‿‿◕。)づ
Hope it helps
please need help answer
Answer:
yudsghbndnshegdm
Step-by-step explanation:send ur location come thruuuuuuuuuuuuuuuuuuuuuuuuuuu
Solve the following quadratic equation.
(x - 16)2 = 256 The 2 is the exponent so please don't misunderstand it lol, thank you for who ever helps me.
A. x = 30 and x = 8
B. x = -30 and x = -8
C. x = -32 and x = 0
D. x = 32 and x = 0
Answer:
D. x = 32 and x = 0
Step-by-step explanation:
You can solve it a multitude of ways one of the easiest ways for me was the quadratic formula.
Each exterior angle of the regular n-gon has a measure of 3 degrees. How many sides does the polygon have?
Answer:
8 sides for this one
Step-by-step explanation:
hope this helps
There are 40 marbles in a bin and 25% of the marbles are red how many in the bin are red
Answer:
10 marbles
Step-by-step explanation:
25% * 40= 1000
1000/100=10
=10 marbles
Which step(s) would create equations so that the coefficients of one of the variables are
opposites?
(A) Multiply the first equation by 7.
Multiply the second equation by 3.
(B) Multiply the first equation by -2.
Multiply the second equation by 4.
(C) Multiply the first equation by 2.
(D) Multiply the second equation by 4.
A spinner that is equally divided into 6 sections and contains one yellow section is spun at the same time that a fair die is rolled. What is the probability that the spinner will land on the yellow section and the number rolled on the die will be 4?
Answer:
32%
Step-by-step explanation:
1/6=32%
Roberto Earns $7.00 an hour working at a grocery store. If he works 20
hours each week, which of these graphs best represents Robertos earnings? HELPP ASAP PLWASE
Answer:
It's c :) Hope this helps
I need help with my math homework
Answer:
See below, sorry for taking so long
Step-by-step explanation:
1.
A. Slope is rise over run or y2 - y1 divided by x2 - x1
We have (-5, 1) and (-3, 7)
7 - 1 / -3 - (-5)
6 / -3 + 5
6 / 2 = 3
Slope = 3
B. So point slope form is y - y1 = m(x - x1)
We know the slope so:
y - 1 = 3(x - (-5))
C. Using the point slope we can move things around to get slope-intercept:
y - 1 = 3(x + 5)
y - 1 = 3x + 15
y - 1 + 1 = 3x + 15 + 1
y = 3x + 16
D. Standard form is Ax + By = C:
y = 3x + 16
y - y = 3x + 16 - y
0 = 3x + 16 - y
0 - 16 = 3x + 16 - y - 16
-16 = 3x - y
3x - y = -16
What is the slope of line that passes through the points (-3, 5) and (0, -1).
Answer:
[tex]m=-2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-3, 5)
Point (0, -1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute [SF]: [tex]m=\frac{-1-5}{0+3}[/tex]Subtract/Add: [tex]m=\frac{-6}{3}[/tex]Divide: [tex]m=-2[/tex]ASAPPPPPPPPPPPPPPPPPPP
Answer:
B
Step-by-step explanation:
A=3.14*6^2
6*6=36
36*3.14= 113
144-113= 31 (aka 30.96)
side note- 144 is the area of the square
Answer:
[tex]B.30.96\ mm^2[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Side\ of\ the\ square=12\ mm\\Diameter\ of\ the\ circle=12\ mm\\First,\\Lets\ consider\ the\ square.\\As\ the\ area\ of\ a\ square=n^2\\The\ area\ of\ the\ given\ square=(12\ mm)^2\\Hence,\\The\ area\ of\ the\ given\ square=144\ mm^2\\Now,\\Lets\ consider\ the\ circle.\\As\ the\ diameter\ of\ the\ circle=12\ mm\\Radius\ of\ the\ circle=12/2=6\ mm\\Hence,\\As\ the\ Area\ of\ a\ circle=\pi r^2\\Area\ of\ the\ given\ circle=3.14*6*6\\[/tex]
[tex]Area\ of\ the\ given\ circle=113.04\ mm^2\\Now,\\As\ the\ Area\ of\ the\ Square - Area\ of\ the\ Circle\ is\ the\ Shaded\ Region,\\144-113.04= Area\ of\ the\ Shaded\ Region\\Hence,\\Area\ of\ the\ Shaded\ Region=30.96\ mm^2[/tex]
Help please can you do like (1) _____ then like (2) _____ please that would be helpful
Answer:
down there
Step-by-step explanation:
1. Adam 57 seconds, Cameron 60 seconds, Cody 60 seconds, Kevin 58 seconds, Joao 59 seconds
2.Just line the bars to the times
Solve – 4y – 10 = 4(y - 3)
Answer:
y= 1/4
Step-by-step explanation:
Answer:
y=-7/8
Step-by-step explanation:
-4y-10=4y-3
add 10 on both sides
-4y=4y+7
subtract the four on the right from both sides
-8y=7
divide -8 on both sides
answer: -7/8
Please help!!! I need help
Answer:
Step-by-step explanation:
What the hell is that oh no I am not doing that
(-15x^5-6x^3) / (-3x) =
Answer:
x2= 0
Step-by-step explanation:
Answer:
[tex]45x^{6} + 18^{4}[/tex]
Step-by-step explanation:
i hope this helps
Use x for the unknown number.
Twice an unknown number added to 48 is six times the same unknown number.
Answer:
2x+48=6x
Step-by-step explanation:
Tell whether the relation is a function. Explain
Help please I don’t understand
Answer:
$52.00
if you need the difference, its $28.00
Answer:
$52
Step-by-step explanation:
Which is the best description for the graph?
O The graph is increasing everywhere.
O The graph is decreasing everywhere.
O The graph is increasing, then decreasing.
O The graph is decreasing, then increasing.
The difference of ten times a number and three is -13
Answer:
10n - 3 = -13
Step-by-step explanation:
I need help help help help
Answer:
The second option.
Step-by-step explanation:
The first place after the decimal is the tenths spot.
The second place after the decimal is the hundreths spot.
The third place after the decimal is the thousandths sport.
Hope this helps!
-AxekickNebulite
A mail carrier travels at 15 miles per hour through a neighborhood. Which table
represents the distance the mail carrier travels in x hours?
2
G
H
0 1 3
yo 16 18
0 24
yo 30 55
x 135
y 15 45 75
x 134
y 15 40 55
Answer:
Step-by-step explanation:
the table is not copied correctly, I assume
the mail carrier will travel a distance of 15x