Answers
Answer:
FALSE, TRUE, FALSE, FALSE
Step-by-step explanation:
pi/2>2 - FALSE
3pi>9 - TRUE
2pi-1<5 - FALSE
pi+8<11 - FALSE
Related Questions
In which quadrants is sine positive?
O A. I and IV
B. I and III
C. II and IV
D. I and II
Answers
Answer:
D. I and II
Step-by-step explanation:
In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.
The solution is, sine is positive in, D. I and II. Option (D) is correct because, In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles.
here, we have,
We are given to select the correct answer from the options provided.
The rule of signs for the trigonometric ratios in the four quadrants are as follows :
Quadrant I : All the three ratios, tangent, sine and cosine are positive.
Quadrant II : Only sine is positive, cosine and tangent are negative.
Quadrant III : Only tangent is positive, sine and cosine are negative.
Quadrant IV : Only cosine is positive, sine and tangent are negative.
so, we get,
In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.
Therefore, using the above rules, we can say that the options (B), (C) and (A) are incorrect.
so, we have,
Option (D) is correct because, In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.
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(1 point)
The number of eggs that a female house fly lays during her lifetime is normally distributed with mean 790 and standard deviation 92.
Random samples of size 98 are drawn from this population, and the mean of each sample is determined. What is the probability that
the mean number of eggs laid would differ from 790 by less than 30? Round your answer to four decimal places.
Answers
Answer:
0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean 790 and standard deviation 92.
This means that [tex]\mu = 790, \sigma = 92[/tex]
Samples of 98
This means that [tex]n = 98, s = \frac{92}{\sqrt{98}}[/tex]
What is the probability that the mean number of eggs laid would differ from 790 by less than 30?
This is the pvalue of Z when X = 790 + 30 = 820 subtracted by the pvalue of Z when X = 790 - 30 = 760. So
X = 820
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{820 - 790}{\frac{92}{\sqrt{98}}}[/tex]
[tex]Z = 3.23[/tex]
[tex]Z = 3.23[/tex] has a pvalue of 0.9994
X = 760
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{760 - 790}{\frac{92}{\sqrt{98}}}[/tex]
[tex]Z = -3.23[/tex]
[tex]Z = -3.23[/tex] has a pvalue of 0.0006
0.9994 - 0.0006 = 0.9988
0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.
Jake bought 4.08 pounds of apples. He knows that 1.19 pounds are Gala apples and the rest are Cameo apples. How many pounds of Cameo apples did he buy? A 2.89 B 3.11 C 3.89 D5.27
Answers
Answer:
2.89
Step-by-step explanation:
4.08-1.19 = 2.89
you just do simple subtraction
Answer:
A. 2.89 pounds
Step-by-step explanation:
4.08 pounds of apples all together subtract the Gala apples 1.19 pounds and you'll get that Jake bought 2.89 pounds of Cameo apples.
4.08 - 1.19 = 2.89
The diagram shows the diameter of the opening
of a waffle ice cream cone.
18 cm
Which of the following is closest to the area of
the opening in square centimeters?
A.
1,017.88 cm2
C. 254.47 cm
B.
56.55 cm2
D. 28.27 cm2
I will give brainleist
Answers
Answers
D 36
Step-by-step explanation:
77 is the area for the squared trapezoid and 36 is the closest to 77
How many meters are in a exameter?
Answers
Answer:
1E18 OR 10^18
Step-by-step explanation:
The formula is multiply the length by 1e+18
Assume your home is assessed at $245,000. You have a $171,000 loan for 25 years at 6 percent. Your property tax rate is 1.4 percent of the assessed value. In year one, you would pay $10,260 in mortgage interest and $3,430 in property tax (1.4 percent on $245,000 assessed value).
Answers
Answer: $3,833.20
Step-by-step explanation:
Mortgages interest and property tax are both federal deductions so they will reduce taxes:
= 10,260 + 3,430
= $13,690
The tax saving is therefore:
= 13,690 * tax rate
= 13,690 * 28%
= $3,833.20
In the summer time your friend wants to have a snow cone stand at a local grocery store parking lot. You want to make sure he actually makes money. The grocery store charges $300 per month. All products are calculated to be 25 cents per customer. Your plans are to sell each cone for $1.25.
a. Write a mathematical expression representing the cost of operation for a month.
b. Write a mathematical expression representing sales.
c. Create an equation that will represent overall profit of the operation for a month.
d. Simplify the equation into slope intercept form and standard form. What is the slope and explain its meaning in the context of selling snow cones? What is the intercept and what is its meaning?
e. Describe the method of graphing the slope intercept form and also the standard form of the equation.
f. What is the domain and range of the equation? Is the relation a function, why?
g. How many snow cones do you need to sell to break even in the first month?
h. How much is the profit if you sell 425, 550 or 700 snow cones in the first month of business?
Answers
Answer:
31.25 is the answer at your question
Let f(x)=x^2-6 and g(x)=7x
Please help thank you
Answers
Since plugging in x makes the equations stay the same, just add f(x) and g(x)
x^2 - 6 + 7x
Solution: x^2 + 7x - 6
What is (8x + 4) added to (15x – 12)?
Answers
Answer:
23x-8
Step-by-step explanation:
8x + 15x = 23x
4 + (-12) = -8
Answer:
[tex] \boxed{23x \: – \: 8} [/tex]
Step-by-step explanation:
(8x + 4) added to (15x – 12) =
(8x + 4) + (15x – 12) =
[Group like terms]
(8x + 15x) + (4 – 12) =
[Simplify]
23x – 8
The diameter of a circle on
a coordinate plane has endpoints at (2,3) and (2,8) what is the approximate area of the circle
A. 16 units squared
B. 20 units squared
C. 25 units squared
D. 79 units squared
Answers
Someone explain and help me do this for me I really need the help
Answers
Answer:
74.13
6×10=60
A=pi r^2
3.14×3^2=28.26
28.26/2 =14.13 (because it is half a circle)
14.13+60=74.13
not sure if that is correct but that is what i got
Which function is graphed below?
Answers
Y=3(1/3)^x
PLEASE HELP ME!!
For the following exercise, use the compound interest formula, A(t) = P(1 +r/n)^t.
where money is measured in dollars.
After a certain number of years, the value of an investment account is represented by the expression 10,400(1 +0.02/2)^20
had the account been accumulating interest?
How many years
Answers
Answer:
A = $10,441.68
A = P + I where
P (principal) = $10,400.00
I (interest) = $41.68
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 0.02/100
r = 0.0002 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 10,400.00(1 + 0.0002/2)(2)(20)
A = 10,400.00(1 + 0.0001)(40)
A = $10,441.68
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.
The total amount , with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest =[tex]P(1+r/n)^rt[/tex]
Given that
A = $10,441.68
A = P + I
P (principal) = $10,400.00
I (interest) = $41.68
First, we need to convert R as a percent to r as a decimal
r = R/100
r = 0.02/100
r = 0.0002 rate per year,
Then we will solve the equation for A
A = [tex]P(1+r/n)^rt[/tex]
[tex]A = 10,400.00(1 + 0.0002/2)^{(2)(20)}[/tex]
A = 10,400.00(1 + 0.0001)
A = $10,441.68
Hence, The total amount , with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.
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Find five rational numbers between 2/3 and 4/5
Answers
Answer:
Find five rational numbers between 2/3 and 4/5 -
61/90 62/90 63/90 64/90 65/90 66/90 67/90
choose any five :)
As you landscape a 4 leaf clover intersection, you will need to buy
enough grass seed to cover all 4 circles. Each of the circles has the same
diameter: 47 meters. Calculate the total area of all grass seed needed to
cover all 4 circles.
Answers
Answer:
A = 6940 m²
Step-by-step explanation:
We are told that there is a clover leaf intersection.
I have attached a picture of it with the 4 circles showing.
We are told the diameter of each circle is the same and equal to 47 m.
Thus, radius = 47/2 = 23.5 m
We want to find the area of grass that will cover the 4 circles. Thus;
Formula for area of a circle is;
A = πr²
For the 4 circles, we have;
A = 4πr² = 4 × π × 23.5²
A = 6939.78 m²
Approximately A = 6940 m²
Directions: Type your answer in the box below without using the ($) symbol.
Wesley had $792.38 in his checking account. He made the following transactions:
• He bought groceries at Food Lion using his debit card for $58.62.
• He received $50.00 for his birthday and deposited the money into his checking account.
• He made a withdrawal at the ATM from his checking account in the amount of $120.00. • He purchased a pair of shoes from the mall using his debit card in the amount of $64.98.
What was the final balance in his checking account after these transactions?
Answers
Answer:
Wesley's final balance in his checking account after these transactions is $598.78.
Step-by-step explanation:
792.38 - 58.62 + 50 - 120 - 64.98 = 598.78
Can you help me please thank you
Answers
Answer:
-3ab, -9x^2 -13x
Step-by-step explanation:
45a^4b^3 - 90a^3b/ 15a^2b
-45ab^2/15a^2b
-3ab
13) (x-7x^2) - (2x^2+14x)
-9x^2 -13x
What is 4x minus x squared?
Answers
Answer:
3x^2
Step-by-step explanation:
the answer isssssssssssssssssssssssssss 3x^2.
if $1000 is divided among the three people In the ratio 2:3:5,find the share of each
Answers
Answer:
$200, $300, $500
Step-by-step explanation:
Given data
Total Amount= $1000
Ratio= 2:3:5
The combined ratio is = 10
Let us apply the part to all method to find the individual amount
The first person will take
10/1000= 2/x
1/100=2/x
cross multiply
x= 200
The second person will take
10/1000= 3/x
1/100=3/x
cross multiply
x= 300
The third person will take
10/1000= 5/x
1/100=5/x
cross multiply
x= 500
4. Complete the number sentence below: *
x 102 = 2,500
Help me please !!!
Answers
Can someone help me with this question please?
Answers
Answer:
35
Each sequence has a difference of eight numbers so we add 8 numbers in each sequence
Answer:
a) (i) 36
(ii) previous+8
b) 75
Step-by-step explanation:
a) (i) 27+8=36
(ii) previous+8
b) 10 th term is 3+9×8= 75
Try to slove this question for me please
Answers
The sum of 2 angles on a straight line (supplementary angles) is 180°. Vertical angles (opposites where a line intersects) are equal.
The upper left and lower right angles where p crosses the other lines (q, r, t) are 105°.
180 - 105 = 75°
So the upper right and lower left angles are 75°. The lower left angle where p intersects s is 85°, so it is not parallel to the others.
Please let me know if you have any questions.
What is 2x10-50=x and I’m just typing this to get to 20 words or whatever
Answers
Step-by-step explanation:
sorry I don't know the answer I want some points so because I do this I really really sorry. and thanks for point
Identify the 3D shape shown below. Choose 1 answer: A Cone B Cylinder с Rectangular prism
Answers
Answer:
Cylinder
Step-by-step explanation:
Cones are pointed at the top or bottom
Rectangular Prisms are shaped like rectangles
Answer:
B
Step-by-step explanation:
i will be sooooo thankful if u helped me
Answers
Answer:
For 35 its C
Step-by-step explanation:
I am really confused what a mean is in math
Answers
Answer:
A mean in math is when you have a set of numbers, you add up all numbers of the set and then divide that sum by the total amount of numbers.
Example: 3,6,8,9
3+6+8+9=26
26/4 (because there is four numbers)
26/4= 6.5
So the mean of that set will be 6.5
Step-by-step explanation:
Maori created this shape out of construction paper using a ruler and scissors. She made sure that all of her angles were right angles.
What is the area of Maori's shape?
A) 36 cm2
B) 48 cm2
C) 90 cm2
D) 102 cm2
Answers
Answer:
B) 48cm²
Step-by-step explanation:
find the area of the 2 rectangles
A = bh
A = 9×4
A = 36
A = bh
A = 6×2
A = 12
add them up you get 48cm²
In an experiment, corn height was measured and recorded every hour (h) from the
moment the corn broke the surface. Scientists determined Ġ = 1.75h +0.55
represents the rate of change of the corn. How many units high was the first
recorded measurement? A)0.55 B)0.00 C)1.75 D)2.30
Answers
Answer:
its A
Step-by-step explanation:
Help me I don’t know what this means
Answers
Answer:
46 is the 15th term.
Step-by-step explanation:
In this question they have given us the function 3x + 1 to determine the 15th term in the table. X = the input or the numbers in that column. Now we must substitute x in our function to figure out the output.
Example:
3(1) + 1 = 4
So for the output for 1 the answer would be 4. You must follow this rule for 0 and 2 as well.
For 15 we must substitute 15 for x.
3(15) + 1 = 46
So 46 would be the 15th term.
Answer:
46
Step-by-step explanation:
[tex]3x+1[/tex]
To determine the 15th term using this expression, plug in 15 as x
[tex]= 3(15)+1\\= 45+1\\= 46[/tex]
Therefore, the 15th term is 46.
I hope this helps!
luego le digo 4yo1 xkw k
Answers
Answer:
okay luego le digo 4yo1 xkw k
Step-by-step explanation: