Answer:
r > 6.25 or r> -25/4
Step-by-step explanation:
[tex]16r > -100\\\\r > \frac{-100}{16}\\\\r> \frac{-25}{4}\\\\r> 6.25[/tex]
Answer:
step-by-step.
16r>−100
Step 1: Divide both sides by 16.
16r/16 > - 100/16
r> - 25/4
Step-by-step explanation:
Answer is r>-25/4
A lawn and garden store surveyed 250 random customers who bought perennial flowers. Participants were asked the question, "Would you like the store to provide more annual flowers or more perennial flowers?"
A report of the survey results stated that customers would prefer the store to provide more perennial flowers than annual flowers.
Select all statements that correctly evaluate the report.
Options:
The question is biased toward a response of wanting more annual flowers.
The question is not biased.
The question is biased toward a response of wanting more perennial flowers.
The sample is not biased.
The sample is biased because it does not represent the population of customers at the lawn and garden store.
Answer:
The question is not biased
The sample is biased because it does not represent the population of customers at the lawn and garden store
Step-by-step explanation:
I just took the test :)
The question is not biased. The sample is biased because it does not represent the population of customers at the lawn and garden store.
What is randomization?Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.
For the 250 random customers who bought perennial flowers. The question is not biased. The sample is biased because it does not represent the population of customers at the lawn and garden store.
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Answer PLSSS..................
rectangle = 3 x 2 = 6 cm2
cirrel = pier2 = 3.14 x 7 x 7 = 3.14 x 49 = 153.86 cm2
153.86 - 6 = 147.86cm2
Pizza hut charges $7.00 for a cheese pizza. Each additional topping costs $0.50. Write an equation in slope-intercept form to determine the total cost, y, of a pizza with,x, amount of toppings.
What is the slope and y-intercept in context of the situation?
Answer: [tex]y=0.5x+7[/tex]
Step-by-step explanation:
Given
Pizza hut charges $7 for a cheese pizza
Each additional topping costs $0.50
Considering y as the cost of pizza and x be the amount of topping added
Cost of a pizza with toppings
[tex]\Rightarrow y=0.5x+7[/tex]
Here, the slope of the equation is [tex]0.5[/tex]
Y-intercept is equivalent to price of base pizza i.e. [tex]7[/tex]
Solve the trigonometric equation on the interval of [0,2π) below:
[tex] \large{cos(2 \theta + \frac{ \pi}{3} ) = \frac{ \sqrt{3} }{2} }[/tex]
Show your work, thanks!
Answer:
[tex] \displaystyle \theta = \frac{3\pi}{4},\frac{11\pi}{12}, \frac{7\pi}{4}, \frac{23\pi}{12} [/tex]
Step-by-step explanation:
we would like to solve the following trigonometric equation on interval of [0,2π)
[tex] \displaystyle \cos \left(2 \theta + \frac{\pi}{3} \right ) = \frac{ \sqrt{3} }{2} [/tex]
remember that,
[tex] \displaystyle \cos(t) = \cos(2\pi - t) [/tex]
so the equation has two solutions
[tex] \begin{cases} \displaystyle \cos \left(2 \theta + \frac{\pi}{3} \right ) = \frac{ \sqrt{3} }{2} \\ \cos \left(2\pi - (2 \theta + \frac{\pi}{3} )\right ) = \frac{ \sqrt{3} }{2} \end{cases}[/tex]
take inverse trig both sides which yields:
[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} \\ 2\pi - 2 \theta - \frac{\pi}{3} = \frac{\pi}{6} \end{cases}[/tex]
simplify the second equation:
[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} \\ \frac{5\pi}{3} - 2 \theta = \frac{\pi}{6} \end{cases}[/tex]
add period of 2kπ:
[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} + 2k\pi \\ \frac{5\pi}{3} - 2 \theta = \frac{\pi}{6} + 2k\pi\end{cases} [/tex]
By making theta subject of the equation we acquire:
[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + k\pi \\ \theta = \frac{3\pi}{4} - k\pi\end{cases} [/tex]
since [tex]k\in\mathbb{Z}[/tex] we get:
[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + k\pi \\ \theta = \frac{3\pi}{4} + k\pi\end{cases} [/tex]
as we want to Solve the trigonometric equation on the interval of [0,2π) we get
[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} \\ \theta = \frac{3\pi}{4} \end{cases} \text{and} \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + \pi \\ \theta = \frac{3\pi}{4} + \pi\end{cases} [/tex]
by simplifying we acquire:
[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} \\ \theta = \frac{3\pi}{4} \end{cases} \text{and} \begin{cases} \displaystyle \theta = \frac{23\pi}{12} \\ \theta = \frac{7\pi}{4} \end{cases} [/tex]
and we are done!
hence,
[tex] \displaystyle \theta = \frac{3\pi}{4},\frac{11\pi}{12}, \frac{7\pi}{4}, \frac{23\pi}{12} [/tex]
PLEASE HELP SOLVEE THIS ?
Answer:
25 Im pretty sure is next
Step-by-step explanation:
Answer:
Step-by-step explanation:
arrange the data from ascending to decending order.
11,12,16,16,17,18,20
median=(N+1)/2(N = number of data)
=(7+1)/2
=8/2
=4 th term
=16
therefore median=16.
Solve using the quadratic formula. Approximate answers to the nearest tenth.
Answer:
x=2
Step-by-step explanation:
X^2+5x-14=0
x^2-2x+7x-14=0
7x-14=0
x=2
An accountant earns an annual salary of $78, 252. Find her gross monthly salary.
Answer:
she gets paid 6,521 a month
Step-by-step explanation:
just divide 78,252 by 12
Explanation:
Divide the given value by 12 to get the answer. This is the salary before taxes and such. The net salary is after taxes are taken away.
Tell whether the angles are complementary, supplementary, or neither.
Answer:they are supplementary
Step-by-step explanation:
A drawer contains 4 red socks, 6 white socks, and 10 blue socks. Without looking, you
draw out a sock and then draw out a second sock without returning the first sock.
What is the probability that the first sock and the second sock are both white.
Answer:
[tex]\frac{3}{38}[/tex]
Step-by-step explanation:
[tex]\frac{6}{20}\cdot \frac{5}{19}=\frac{30}{380}=\boxed{\frac{3}{38}}[/tex]
Answer:
3/38
Step-by-step explanation:
So, you add the total numbers of socks and the total is 20. Since there is 6 white socks the first time you pick, your first fraction is 6/20 (3/10). So since you didn't put the first sock back, now the probability of picking another white sock is 5/19. So now multiply your fractions, and your answer should be 15/190 (Simplifyed 3/38)
The sum of 42 fish and x fish is 68 fish. What is the unknown number of fish?
Answer:
the unknown number of fish is 26
Step-by-step explanation:
I figured this out by subtracting 68 - 47 = x.
x = 26
Answer:
Unknow fishes = 26
Step-by-step explanation:
We are given that 42 and x fishes sum up to 68 fishes, so we can say;
42 + x = 68
x = 68 - 42
x = 26
Therefore the number of unknown fishes = 26
Hope this helps!
Perimetrul unui teren de sport este de 224m. Alfa lungimea si latimea terenului, daca latimea este cu 8m mai mare decat 1/3 din lungime
Answer:
I. L = 78 metros
II. W = 34 metros.
Step-by-step explanation:
Deje que la longitud del rectángulo sea L. Deje que el ancho del rectángulo sea W.Sabemos que un campo deportivo tiene forma rectangular.
Dados los siguientes datos;
Perímetro del rectángulo = 224 m
Traduciendo el problema verbal a una expresión algebraica, tenemos;
W = ⅓L + 8 = L/3 + 8
Matemáticamente, el perímetro de un rectángulo viene dado por la fórmula;
P = 2 (largo + ancho)
Sustituyendo en la ecuación, tenemos;
224 = 2(L + [L/3 + 8])
224 = 2L + 2L/3 + 16
Reordenando la ecuación (recolectando términos semejantes), tenemos;
224 - 16 = 2L + 2L/3
224 - 16 = 8L/3
208 = 8L/3
Multiplicación cruzada, tenemos;
8L = 208 * 3
8L = 624
L = 624/8
L = 78 metros
Para encontrar el ancho;
W = L/3 + 8
W = 78/3 + 8
W = 26 + 8
W = 34 metros.
GRADE 8 MAIN
SESSION 2 /
Glenn bought a game system and 3 video games for $375. Jim bought a game system and 4 video
games at the same store for $410.
Each game system costs the same.
• Each video game costs the same.
What is the cost, in dollars, of one game system?
Enter your answer in the box.
$
Answer:
jason shdudbuasd
Step-by-step explanation:
Really need help on this too ASAP thanks for whoever helps me
Answer:
D 45
Step-by-step explanation:
90/2 = 45
135/3 = 45
180/4 = 45
There are 8 different actors auditioning for the roles of Larry, Curly and Moe. How many ways could the roles be cast? Best answer get Brainliest.
help!!!!!!! me plzzzz!!!!
Answer:
1.0
2.undefined
Step-by-step explanation:
Answer:1) 0, 2) is undefined
Step-by-step explanation:
Classify the triangle
I dont quite understand this question, percentages are difficult for me.
Answer:
60%
Step-by-step explanation:
There are 50 girls and 30 of them prefer Snap.
30/50*100 = 60% of the girls.
Can you help? will give brainliest
┐(´ー｀)┌
Answer:
D
Step-by-step explanation:
u are correct
What is the answer? {y=2x−6 y=5x−21
Answer:
x=5, y=4. (5, 4).
Step-by-step explanation:
y=2x-6
y=5x-21
--------------
2x-6=5x-21
2x-5x-6=-21
-3x-6=-21
-3x=-21+6
-3x=-15
3x=15
x=15/3
x=5
y=2(5)-6
y=10-6
y=4
In the morning, the temperature was – 10°C. By the afternoon, it had risen to – 2°C. What was the change in temperature from the morning to the afternoon?
Answer:
8 °C
Step-by-step explanation:
Step 1: Given data
Initial temperature value (T1): -10 °C
Final temperature value (T2): -2 °C
Step 2: Calculate the change in temperature from the morning to the afternoon
To calculate the change in the temperature, we have to perform the subtraction T2 - T1.
ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C
The temperature change is positive, meaning that the temperature increased.
please answer!!
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1 and yintercept at (0, -1)?
A. y= 4x+1
B. y= 1x-1
C. y=-x-1
D. y= 4x-1
Hi there!
[tex]\large\boxed{\text{ B. } y = 1x - 1}[/tex]
Recall that the equation of a line is:
y = mx + b, where:
m = slope
b = y-value of the y-intercept.
We are given that the slope is 1 and the y-intercept is -1, so:
m = 1
b = -1
The correct equation is B. y = 1x - 1
what is the difference between 1089 and 4445
Answer:
If it is:
1,089-4,445= -3,356
but if it is the other way:
4,445-1,089= 3,356
Hope it helped!
Answer:
Its a Subtraction problem
4445-1089
=3356
Can you please help solve and find value of x!
Answer:
32º
Step-by-step explanation:
Solve for sin(x). Then use inverse sine to get your angle measurement. From there, convert radians to degrees by multiplying by 180/π.
sin (x) = opp/hyp = 8/15
sin-1(8/15) = x = 0.56253 radians
0.56253 radians * 180/π = 32.23º
Round this to 32º
What is the value of x when y has a value of -9 ? -3x = y + 51
A) -20
B) -14
C) 14
D) 20
how to calculate algebraic expression?
Zendaya has 5/6 yard of wood to make racks for a wood game . Each rack needs to be 1/6 yard long. How many racks can Zend ayah make from her piece wood? Show how you found the answer.
Answer:
Number of rack made from total wood = 5 rack
Step-by-step explanation:
Given:
Length of wood Zendaya has = 5/6 yard
Length of each rack = 1/6 yard
Find:
Number of rack made from total wood
Computation:
Number of rack made from total wood = Length of wood Zendaya has / Length of each rack
Number of rack made from total wood = [5/6] / [1/6]
Number of rack made from total wood = [5/6][6/1]
Number of rack made from total wood = 5 rack
Unit 9 test: Trigonometry
What is the right answer to this problem?
Answer:
x = 10.5
Step-by-step explanation:
[tex]cos 65 =\frac {adjacent}{hypotenuse} \\\\0.4226 = \frac{x}{25}\\\\0.4226 \times 25 = x \\\\x = 10.565[/tex]
Answer:
Step-by-step explanation:
take 65 degree as reference angle
using cos rule
cos 65=adjacent/hypotenuse
0.42=x/25
0.42*25=x
10.5=x
Jan spent 3 3/4 hours doing homework last week. She spent
5 1/4 hours doing homework this week. How many more
hours did Jan spend on homework this week than last
week?
Answer:
6/4
Step-by-step explanation:
Answer:
Exact Form:
3/2
Decimal Form:
1.5
Mixed Number Form:
1 1/2
Step-by-step explanation:
pls help me and show your work
Answer:
Solution given:
[tex]4\frac{2}{3}÷7[/tex]
=[tex] \frac{4*3+2}{3}×\frac{1}{7}[/tex]
=[tex]\frac{14}{3*7}[/tex]
=[tex]\frac{2}{3}[/tex] is a required answer.
Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($)| 0 4 6 8 10
Probability 0.45 0.3 0.1 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.
Answer:
2.65
Step-by-step explanation:
Multiply each payout by its probability, then add those products.
See the attached image.
The first column has the payouts. The second column has the probabilities. The third column has the results of multiplying a payout by its probability.
The sum of the entries in the third column is 2.65
The expected value is $3.1 if the payout probability distribution is payout ($)| 0 4 6 8 10 probability 0.45 0.3 0.1 0.1 0.05
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
From the table we can find the expected value:
Multiply payout to probability such that:
= 0×0.45 = 0
= 4×0.3 = 1.2
And so on
Now sum all values(refer to the attached table)
= 0+1.2+0.6+0.8+0.5
= $3.1
Thus, the expected value is $3.1 if the payout probability distribution is payout ($)| 0 4 6 8 10 probability 0.45 0.3 0.1 0.1 0.05
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