Answer:
1/3
Step-by-step explanation:
In math, to find the probability of an event we need to take the total amount of favorable outcomes and divide this number between the total amount of possible outcomes.
In this case Paul has 15 T-shirts and he takes one of his blue T-shirts at random. We can see that he has a total of 3 blue shirts, thus, the total amount of possible outcomes is 3.
Now, we need to find the probability that the T-shirt is light blue, he only has 1 light blue t-shirt so the number of favorable outcomes is 1.
If we divide the number of favorable outcomes between the number of possible outcomes we have [tex]\frac{1}{3}[/tex]. Thus, the probability that the T-shirt is light blue is 1/3
Solve for x. Write both solution, separated by a comma. 4x^2-x-3=0.
Answer:
x = -3/4, 1
Step-by-step explanation:
Factor left side of the equation.
(4x + 3)(x - 1) = 0
Set factors equal to 0.
4x + 3 = 0
4x = -3
x = -3/4
x - 1 = 0
x = 1
Answer:
x₁ = -3/4
x₂ = 1
Step-by-step explanation:
4x² - x - 3 = 0
4x² + 3x - 4x - 3 = 0
xx(4x + 3) - 4x - 3 = 0
xx(4x + 3) - (4x + 3) = 0
(4x + 3) × (x - 1) = 0
4x + 3 = 0 → x = -3/4
x - 1 = 0 → x = 1
Hope this helps! :)
Need help again ?!???
Answer:
11.47
Step-by-step explanation:
Use SohCahToa. In this problem, you are given the hypotenuse and you are trying to solve for the adjacent side so it will be cosine. (cosine = [tex]\frac{adjacent}{hypotenuse}[/tex])
1. set up the equation
cos55 = [tex]\frac{x}{20}[/tex]
2. Multiply both sides by 20 to solve for x
20 · cos55 = 11.47
Answer:
11.47Solution,
From the figure,
[tex]cos \: 55 = \frac{PQ}{PR} [/tex]
[tex]cos \: 55 = \frac{PQ}{20} [/tex]
[tex]PQ = 20 \: cos \: 55[/tex]
[tex]PQ= 11.472[/tex]
[tex]PQ= 11 .47[/tex]
Hope this helps...
Good luck on your assignment...
Again. I need help with this
Answer:
Option B.
Step-by-step explanation:
Scale factor of the image = [tex]\frac{\text{One side of the triangle FED}}{\text{Corresponding side of the triangleABC}}[/tex]
= [tex]\frac{\text{DF}}{\text{AC}}[/tex]
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex]
Coordinates of point C → (-2, 2)
Coordinates of the corresponding point C' after dilation with a scale factor [tex]\frac{1}{2}[/tex],
C(-2, 2) → C'(-1, 1)
Coordinates of point C' after reflection across y-axis,
C'(-1, 1) → C"(1, 1)
Followed by the translation of 2 units downwards,
C"(1, 1) → D[1, (1 - 2)]
→ D(1, -1)
From the graph we get the same coordinates of point D as (1, -1).
Therefore, ΔABC was dilated by a scale factor of [tex]\frac{1}{2}[/tex], reflected across the y-axis and moved through the translation of 2 units downwards.
14 + 18 divided by 2 * 18
Is the answer 86 or no?
Answer:
No.
Step-by-step explanation:
Order of Operations using BPEMDAS:
14 + 18/2(18)
14 + 9(18)
14 + 162
176
Use the given degree of confidence and sample data to construct interval for the population proportion. Of 369 randomly selected medical students, 23 said that they planned to work in a rural community. Construct a 95% confidence interval for the percentage of all medical students who plan to work in a rural community. (4.16%, 8.30%) (3.77%, 9.47%) (3.30%, 9.17%) (2.99%, 9.47%) (3.77%, 8.70%) In a poll of registered voters nationwide, 43% of those polled blamed of companies the most for the recent increase in gasoline prices. The margin of error at the 96% confidence level for this point estimate is 2.4%. Construct a 95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices. (0.382, 0.478) (0.368, 0.492) (0.406, 0.477) (0.383, 0.477) Cannot be determined from the information given.
Answer:
e) (3.77%, 8.70%)
95% confidence interval for the percentage of all medical students who plan to work in a rural community
(3.83% , 8.69%)
95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices
(0.406 , 0.454)
Step-by-step explanation:
Step(i):-
Given random sample size 'n' = 369
Sample proportion
[tex]p = \frac{x}{n} = \frac{23}{369} = 0.0623[/tex]
95% confidence intervals are determined by
[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} })[/tex]
[tex](0.0623 - 1.96 \sqrt{\frac{0.0623(1-0.0623)}{369} } , 0.0623 + 1.96\sqrt{\frac{0.0623(1-0.0623)}{369} })[/tex]
(0.0623 - 0.0246 , 0.0623 + 0.0246)
(0.0383 , 0.0869)
(3.83% , 8.69%)
95% confidence interval for the percentage of all medical students who plan to work in a rural community
(3.83% , 8.69%)
Step(ii):-
Given 43% of those polled blamed of companies the most for the recent increase in gasoline prices
sample proportion 'p' = 0.43
Given Margin of error (M.E) = 0.024
95% confidence intervals are determined by
[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} })[/tex]
[tex](0.43 - 0.024 } , 0.43 +0.024 )[/tex]
(0.406 , 0.454)
Final answer:-
95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices
(0.406 , 0.454)
Point S is located on RT so that RS/ST = 1/4. What are the coordinates of Point S? (4 , 4 ) (2.4, 2.4) (8 , 8 ) (4.4, 4.4)
Answer:
(4.4, 4.4)
Step-by-step explanation:
The point S can be found as the weighted average of the end points. The relative weights are the reverse of the distances to the end points:
RS : ST = 1 : 4
S = (4R +1T)/5
S = (4(2, 2) +(14, 14))/5 = (22, 22)/5
S = (4.4, 4.4)
Factor (x^2-1x)(-4x+4), with work shown
Answer:
4 ( -x^3 + 2x - x)
Step-by-step explanation:
refer the attachment
Pqrs is a rhombus. Find x, y and z. Justify your finding.
Answer:
x = 4, y = 2√21, z = 10
Step-by-step explanation:
Since all sides of a rhombus are congruent, z = SR = 10. Since the diagonals of a rhombus bisect each other, x = PO = 4. Using Pythagorean Theorem (look at ΔPSO, we know that PS = 10 and PO = 4), y = 2√21.
The snail moved 6 inches in 120 minutes. What was the average speed of the snail in inches per minute?
Answer:
0.05 in per min.
Step-by-step explanation:
We simply divide 6 by 120 to find our unit rate:
6 in/120 min = 1/20 = 0.05 in/1 min
Answer:
1/20 Inch per. Minute
Step-by-step explanation:
6/120 -->
6/1 x 1/120 --> cancel out 6 and 120 for 1 and 20 respectively
1/1 x 1/20 --> 1 x 1/20 => 1/20
Hope this helps!
exact value of :7 1/2 - 1 5/8 +(1 3/8 × 2 7/11 )
Answer:
261/44
Step-by-step explanation:
hope this helps. :)
Answer:
9 1/2
Step-by-step explanation:
7 1/2 - 1 5/8 + (1 3/8 × 2 7/11) =
= 7 4/8 - 1 5/8 + 11/8 * 29/11
= 6 12/8 - 1 5/8 + 29/8
= 5 7/8 + 3 5/8
= 8 12/8
= 8 + 8/8 + 4/8
= 9 1/2
PLZ HELP ME!!!! I WILL GIVE BRAINLIEST!!!!!! 5 stars and a thanks!!!! 50 POINTS!!! Type out how you would explain the color blue to a blind person. The blind person has been blind ever since he was born. This is a real challenge question.
Answer:
As color is simply the kind of light reflected by surfaces(if the sun was green, many plants would die), color can be explained fairly simply to a blind person. Each color represents a separate wavelength, and objects that reflect these wavelengths show up in various colors. Thus simply state the following: The color blue is displayed by all objects that reflect wavelengths from 380 and 500 nanometers.
Hope it helps <3
p.s. I know this is supposed to be kind of philosophical, but I'm a nerd, so...
Find the slope of the line
Answer:
3/2
Step-by-step explanation:
Using two points we can find the slope of a line
(0,1) and (2,4)
The slope is given by
m= (y2-y1)/( x2-x1)
= (4-1)/(2-0)
= 3/2
Solve for x 4x−8=3x−8
Answer:
x = 0
Step-by-step explanation:
Step 1: Subtract 3x from both sides
x - 8 = 8
Step 2: Add 8 to both sides
x = 0
Answer:
x = 0
Step-by-step explanation:
1. Get rid of the equal terms
4x = 3x
2. Move the variables to the left side
4x - 3x = 0
3. Collect the like times
4x - 3x = 0
x = 0
Hope this helps!
PLEASE HELP - Find the area of a regular octagon with a side length of 5 cm. Round to the nearest tenth. (Please explain in full detail the process, im trying to learn how to do these) thank you!!
Answer:
120.7
Step-by-step explanation:
The formula for finding the area of a regular octagon is: A = 2(1+[tex]\sqrt{2}[/tex])[tex]a^{2}[/tex].
Using the formula I got 120.7(rounded).
The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².
We have,
To find the area of a regular octagon with a side length of 5 cm, you can use the following formula:
Area = 2 * (1 + √2) * (Side Length)²
Plugging in the values:
Area = 2 * (1 + √2) * (5 cm)² ≈ 120.7 cm²
Therefore,
The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².
Learn more about octagons here:
https://brainly.com/question/30182906
#SPJ4
If (x+3) varies directly as y and x=3 when y=12, what is the value of x when y=8?
Answer:
x = 1.
Step-by-step explanation:
y = k(x + 3)
When x = 3 y = 12 so
12 = k(3 + 3)
6k = 12
k = 2.
So the relation is y = 2(x + 3)
When y is 8:
8 = 2(x + 3)
2x = 8 - 2*3 = 2
x = 1.
what is teh surface area of a rectangular prism, if its length is 17 meters, its width is 2 meters and its height is 3 meters
Answer:
102m^2
Step-by-step explanation:
2x3x17=102m^2
can u pls mark brainliest :)
Answer:
182 m²
Step-by-step explanation:
The formula for surface area of a rectangular prism is;
Surface Area = 2(wl) + 2(lh) + 2(hw) where w is the width, l is the length and h is the height.
SA = 2(2 * 17)m² + 2(17 * 3)m² + 2(3 * 2)m²
= 2(34)m² + 2(51)m² + 2(6)m²
= 68 m² + 102 m² + 12 m²
= 182 m²
Plz, help if you have the time too
Answer:
Hey there!
You can use the ASA postulate, when two angles are congruent, and one side is congruent.
Hope this helps :)
(06.01, 06.02 HC) I WILL MARK YOU BRAINIEST Part A: Create a fourth-degree polynomial in standard form. How do you know it is in standard form? (5 points) Part B: Explain the closure property as it relates to polynomials. Give an example. (5 points)
A fourth-degree polynomial in standard form is :
To write a polynomial in a standard form you have to set its terms according to the variable powers in a descending order.In this example it would give:
−6[tex]x^{4}[/tex]+3[tex]x^{2}[/tex]+4x +2
The degree of a polynomial is the maximum power of an unknown variable in the polynomial.Part B:
The closure property as it relates to polynomials are :
Polynomials are closed for addition and subtraction. This is because the power does not change. Only the coefficients are changed. This is illustrated by the examples below:(2x2 + 3x + 4) + (x2 - 5x - 3)
3x2 - 2x + 1.
The above operation does not change the degree. Only the number next to each variable changes.Therefore, the addition and subtraction of polynomials is closed.
Know more about polynomials:
https://brainly.com/question/16059429?referrer=searchResults
The figure is not drawn to scale. PQ and MN are straight lines. Find
Answer:
a = 138
Step-by-step explanation:
Notice that from the figure, we can see that ∠MOQ and ∠PON are vertical angles, which means that by definition, they're congruent in measure.
∠MOQ = ∠MOR + ∠ROQ = 90 + 48 = 138°
So, this means that ∠PON is also equal to 138, which means a = 138.
Thus, the answer is a = 138.
~ an aesthetics lover
En una casa de empanadas hornean 1.200 por día. Si las cocinan en fuentes de 75 unidades, colocando siempre la mayor cantidad posible, ¿Cuántas fuentes preparan?
Answer:
16 unidades preparan simultáneamente 1200 empanadas por día.
Step-by-step explanation:
Si cada fuente tiene una capacidad de 75 empanadas por horneada y que la mayor cantidad posible ocurre cuando el volumen de producción se cocina simultáneamente, entonces el total de fuentes es la cantidad total de producción dividida por la capacidad de empanadas por fuente. Es decir:
[tex]x = \frac{1200\,emp}{75\,\frac{emp}{und} }[/tex]
[tex]x = 16\,unidades[/tex]
16 unidades preparan simultáneamente 1200 empanadas por día.
(2x + 3)(5x2 - 2x - 1) = Ax3 + Bx2 + Cx + D. What are the values of B and C?
Answer:
B = 11; C = -8
Step-by-step explanation:
When simplified I get 10x^3 + 11x^2 - 8x - 3
Purple paint requires an exact mixture of blue and red. The ratio of blue paint to red paint is 2:5. Marissa needs 35 cups of purple paint to paint a wall. How much of each color would be needed to make a total of 35 cups of perfect purple paint?
Answer:
achievements
Step-by-step explanation:
If 12^x = ^11√12, what value of x makes this equation true?
The root of a number is equivalent of being raised to its inverT
11 cubic root is = 1/11
X = 1/11
A student answered 12 out of 15 questions on an exam correctly.
a) What fraction of the 15 questions did the student answer correctly? Write your answer in
simplest terms.
b) What percent of the 15 questions did the student answer correctly?
Answer:
1. 4/5
2. 80%
Step-by-step explanation:
[tex](7^{x})=\frac{7^{2}*7^{3} }{7^{3x} }[/tex] PLEASE SHOW ME HOW TO DO THIS STEP BY STEP I ALREADY KNOW THE ANSWER. IT IS 1.25 I AM GIVING BRAINLIEST
Answer:
I hope it will help you....
Select the interval where h(x)>0 {where h of x is greater than 0}
Option1. -3.5 Option2. -2 Option3. 2.5
Answer:
The correct option is;
Option 3. 2.5
Step-by-step explanation:
From the graph of the function y = h(x), where h of x h(x) > 0 and x > 0 we have;
The first interval where y =h(x) > 0 occurs between x= 0 and x = 0.8
The second interval where y =h(x) > 0 occurs between 2.2 and 4 which is a range of 4 - 2.3 = 1.7
The total interval where y =h(x) > 0 occurs is therefore = 0.8 + 1.7 = 2.5
Thus the function y = h(x), is positive over an interval on the x-axis = 2.5.
Answer:
Option 3. 2.5Step-by-step explanation:
What decimal represents the shaded part in the picture?
Answer:
40/100 = 0.4
your welcome
need help asap!!! WILL GIVE THE MOST BRAINIEST TO WHOEVER ANSWERS IT RIGHT PUT THE ANSWER IN A BOX
Answer:
36PI
113.04
Step-by-step explanation:
4/3*PI*R^3=V
4/3*PI*27=V
36*PI=V
113.04
BRAINLIEST PLS
-ZYLYNN JADE
Answer:
113.10 (to the nearest hundredth)
Step-by-step explanation:
just google volume of a sphere
el perimetro de un terreno rectangular es de 170m y su area es de 170^2hallar la medida de sus lados con ecuacion cuadratica
Answer:
Acá tenemos un sistema de ecuaciones.
El perímetro de un rectángulo es:
2*A + 2*L = 170m
donde A es el ancho y L es el largo.
Y el área del rectángulo es:
A*L = 170m^2.
Entonces, el primer paso es aislar una de las variables en una de las ecuaciones, yo voy a aislar A en la segunda:
A = 170m^2/L.
Ahora reemplazo eso en la primera ecuación y la resuelvo para L.
2*( 170m^2/L.) + 2*L = 170m.
340m^2 + 2*L^2 = 170m*L
ahora tenemos una ecuación cuadrática:
2*L^2 - 170m*L + 340m^2 = 0.
Las soluciones se pueden obtener usando la formula de Bhaskara:
[tex]L = \frac{+170 +- \sqrt{170^2 -4*340*2} }{2*2} = \frac{170 +-161.8}{4}[/tex]
Entonces las soluciones son:
L = (170 + 161.8)/4 = 82.95m
L = (170 - 161.8)/4 = 4.1m
Entonces, si tomamos L = 82.95m, tenemos A = 4.1 m
y el área es:
A*L = 4.1m*82.95m = 170m^2
how to do this question plz
Answer:
adult = £7 and child = £2
Step-by-step explanation:
let a represent adult ticket and c child ticket, then
2a + 3c = 20 → (1)
a + 4c = 15 → (2)
Multiply (2) by - 2 and add to (1) to eliminate a
- 2a - 8c = - 30 → (3)
Add (1) and (3) term by term
- 5c = - 10 ( divide both sides by - 5 )
c = 2
Substitute c = 2 into either of the 2 equations and solve for a
Substituting into (1)
2a + 3(2) = 20
2a + 6 = 20 ( subtract 6 from both sides )
2a = 14 ( divide both sides by 2 )
a = 7
Cost of adult ticket is £7 and child ticket is £2