Answer:
A = 8.75 cm²
Step-by-step explanation:
Given that,
Radius, r = 5 cm
The arc length, l = 3.5 cm
We need to find the area of a sector. Let [tex]\theta[/tex] be the angle. So,
[tex]\theta=\dfrac{l}{r}\\\\\theta=\dfrac{3.5}{5}\\\\\theta=0.7\ rad[/tex]
The formula for the area of sector when [tex]\theta[/tex] is in radian is given by :
[tex]A=\dfrac{1}{2}\times \theta r^2\\\\A=\dfrac{1}{2}\times 0.7\times 5^2\\\\A=8.75\ cm^2[/tex]
So, the area of the sector is 8.75 cm².
Answer: (b)
Step-by-step explanation:
Given
the radius of circle r=5 cm
arc length [tex]l=3.5\ cm[/tex]
Arc length is also given by
[tex]l=\dfrac{\theta }{360^{\circ}}\times 2\pi r[/tex]
[tex]\Rightarrow 3.5=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 5\\\\\Rightarrow \theta =40.10^{\circ}[/tex]
Area of the sector is given by
[tex]\Rightarrow A=\dfrac{\theta }{360^{\circ}}\times \pi r^2\\\\\Rightarrow A=\dfrac{40.101^{\circ}}{360^{\circ}}\times 3.142\times 5^2\\\\\Rightarrow A=8.749\approx 8.75\ cm^2[/tex]
A company that manufactures and ships canned vegetables is designing boxes in the shape of square prisms to meet specific requirements. The vegetables are packed into cans that are 2.5 inches in diameter and 4 inches in height. Company regulations state that boxes must be filled with two layers of 16 cans each, and be completely closed with no overlapping material. What is the smallest amount of cardboard needed to meet the company's requirements.
They will need at least
square inches of cardboard.
Answer:
.92
Step-by-step explanation:
multiplication
Suppose that in the production of 60-ohm radio resistors, nondefective items are those that have a resistance between 58 and 62 ohms and the probability of a resistor’s being defective is The resistors are sold in lots of 200, with the guarantee that all resistors are nondefective. What is the probability that a given lot will violate this guarantee? (Use the Poisson distribution.)
Answer:
The probability that a given lot will violate this guarantee is [tex]1 - e^{-200x}[/tex], in which x is the probability of a resistor being defective.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
The probability of a resistor’s being defective is x:
This means that [tex]\mu = nx[/tex], in which n is the number of resistors.
The resistors are sold in lots of 200
This means that [tex]n = 200[/tex], so [tex]\mu = 200x[/tex]
What is the probability that a given lot will violate this guarantee?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = 0) = \frac{e^{-200x}*(200x)^{0}}{(0)!} = e^{-200x}[/tex]
So
[tex]P(X \geq 1) = 1 - e^{-200x}[/tex]
The probability that a given lot will violate this guarantee is [tex]1 - e^{-200x}[/tex], in which x is the probability of a resistor being defective.
How do I do this please help
Answer:
1. y= 1/3x+2
2.y=-3/4x-5
Step-by-step explanation:
Identify the constant of proportionality from the graph
A. 3
B. 9
C. 1/3
D. 6
X=5 and y=7 for algebraic expression 2(4x-3) + 6(3y-5)
Answer:
2(4x-3) + 6(3y-5)
X=5 and y=7
2(4(5)-3) + 6(3(7)-5)
2(20-3) + 6(21-5)
2(17) + 6(16)
34 + 96
130
Step-by-step explanation:
"How many 2/3 are in 9/8?"
Answer:
There are 1.6875, 2/3's in 9/8
Step-by-step explanation:
To figure this out you would take 9/8 and divide it by 2/3.
(9/8)/(2/3)=1.6875
The density of a substance is 5.15 grams per cubic centimeters. An empty box has of 48 grams, is 12.4 cm tall, 19.3 cm wide, 17.1 cm long. What is the mass of the container? Round your answer to the nearest tenth gram.
Answer:
bq XK
Step-by-step explanation:
nnnnnnnnnnn
Lina needs to write a 25-page report for homework. Last week she wrote 9 pages. She has 5 days left to finish the report. If she writes the same amount each day, about how many pages does she need to write each day to finish the report?
A. 3
B. 5
C. 2
D. 1
Question here
I need help with this
cool can i have brainliest
Answer: nice the answer is ummmm I don’t know
Step-by-step explanation:
Based on concerns raised by his preliminary research, the biologist decides to collect and examine 150 frogs.
a) Assuming the frequency of the trait is still 1 in 8, determine the mean and standard deviation of the number of frogs with the trait he should expect to find in his sample.
b) Verify that he can use a Normal model to approximate the distribution of the number of frogs with the trait.
c) He found the trait in 22 of his frogs. Do you think this proves that the trait has become more common?
Explain.
Answer:
Answered and explained below
Step-by-step explanation:
A) We are told that frequency of the trait is still 1 in 8. Thus, population proportion; p = 1/8 = 0.125
Sample size; n = 150
Formula for mean is;
μ = np
μ = 150 × 0.125
μ = 18.75
Formula for standard deviation is;
σ = √(np(1 - p))
σ = √(150 × 0.125(1 - 0.125))
σ = √16.40625
σ = 4.05
B) usually, when np ≥ 10 , we make use of normal distribution.
I'm this case, it is 18.75 which is greater than 10.
Thus,we can use a normal model to approximate the distribution.
C) we are told that he found the trait in 22 of the frogs.
Thus;
Proportion is now; 22/150 = 0.1467
This is a higher probability that the initial one of 0.125 and we can say that the trait has become more common.
Joe is thinking of an integer that is less than its opposite. The integer is? A) less than zero B) zero. C) between zero and one.
D) greater than 1
Answer:the number is negative
Step-by-step explanation:
The true statement about Joe's number is that it will be a negative number. It will be less than zero. the correct option is A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The only way to get a number greater than the one you started with is to get the opposite of a negative number because positive numbers are always greater than negative ones.
Therefore, the true statement about Joe's number is that it will be a negative number.
To know more about Expression follow
brainly.com/question/723406
#SPJ2
I don’t understand, can someone help?
Answer:
The answer is 3
Step-by-step explanation:
if the other side is 10 then 2x+4 should be 10
2*3+4=10
Jim did 35 push-ups on Saturday, 42 push-ups on Sunday, 49 push-ups on Monday, and 56 push-ups on Tuesday. What kind of sequence is this?
Answer:
increasing sequence of +7
Step-by-step explanation:
please mark brainiest
please give 5 stars
thank you
The measure of an angle is 42.89. What is the measure of its supplementary angle?
Answer:
The supplementary angle is 137.11.
Step-by-step explanation:
180-42.89 = 137.11
Hope this helps!
A bag contains: 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn? Please explain
Answer:
may be...
P(for green)= 3/20
P(for black)=4 /20
PLEASE HELP, IF ITS RIGHT ILL GIVE U BRAINLIEST THINGY
Answer:
The answer is 8
Step-by-step explanation:
olice response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 7.2 minutes and a standard deviation of 2.1 minutes. For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes. (Round your answer to four decimal places.)
Answer:
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
Step-by-step explanation:
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.
Mean of 7.2 minutes and a standard deviation of 2.1 minutes.
This means that [tex]\mu = 7.2, \sigma = 2.1[/tex]
For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes.
This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3.
X = 9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{9 - 7.2}{2.1}[/tex]
[tex]Z = 0.86[/tex]
[tex]Z = 0.86[/tex] has a pvalue of 0.8051
X = 3
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3 - 7.2}{2.1}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.8051 - 0.0228 = 0.7823
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
0.86÷2 y. 0.91÷7
ayudaaaaaaaaaaa(lo escriben en español no hablo ingles)
Answer:
yes get that one 0.78.10
Step-by-step explanation:
phill sold 146 magazine subscriptions he work for two weeks and sold same amount each week how many subscriptions did he sell each week
Answer:
73
Step-by-step explanation:
Answer:
73
Step-by-step explanation:
The most popular pizza at Pavone’s Pizza is the 9-inch personal pizza with one topping. What is the area of a pizza with a diameter of 9 inches?
Answer:
63.62
Step-by-step explanation:
pie X r^2
What is the area of a triangle when the base = 4cm and the height = 6cm? (use your resources ;-) )
Group of answer choices
a.6 square centimeters
b./12 square centimeters
c.18 square centimeters
d.24 square centimeters
Answer is in the file below
tinyurl.com/wpazsebu
HELP ITS A MATH EMERGENCY
Answer:
A. is the correct answer.
Step-by-step explanation:
Answer:
h
Step-by-step explanation:
What is the diameter of a 15 ft circle?
Answer:
47.12
Step-by-step explanation:
The figure shown was transformed from Quadrant Quadrant
Answer:
H. Reflection over the x-axis.
Hope that helps!
20x^2-12x-8
a. (10x+2) (2x+5)
b.(5x+2) (4x-4)
c. (5x-2) (4x+4)
d. (10x-2) (2x-5)
Answer:
B
Step-by-step explanation:
20x^2 - 12x - 8
4 ( 5x^2 - 3x - 2 )
5 * - 2 = - 10
Factors of - 10
1 , - 10
10, - 1
2, - 5
5, - 2
5x^2 - 5x + 2x - 2
5x (x - 1) 2 (x - 1)
4 (x - 1) (5x + 2)
(4x - 4) (5x + 2)
What is 35percent of 275
Answer:
iyou tell me
Step-by-step explanation:
Answer:
96.25
Steps:
35 × 275 / 100 = 9625 / 100 = 96.25
Will give brainly
Please answer as soon as possible
This graph allows you to not only compare different categories of data but also compare each category to the whole.
line graph
bar graph
scatter plot
Circle graph
Please help me
Please answer as soon as possible
Answer:
wheres the graph if u show me the graph ill be glad to help u
Step-by-step explanation:
Answer:
A circle graph
Step-by-step explanation:
This only applies if the question means a pie chart when it says "circle graph".
Which expressions can be added to find the volume of the solid figure?
Select all that apply.
Answer:
Option A and D will be your answer
Step-by-step explanation:
hope it helps
Inspired by zoom, you want to determine whether there are significant differences in the satisfaction of couples that had their first date in person vs. couples who had their first date virtually. Based on the following satisfaction data (larger values indicate greater satisfaction), conduct an independent samples t-test using (alpha=.01) and an pooled variance. Is there a significant difference?
Virtual Date In person date
X= 23.76 X= 34.54
s2 = 123.43 s2 = 105.65
n = 5 n = 20
A) Write the null and alternative hypotheses in symbols
B) What is your critical value?
C) What's your pooled variance?
D) What's your standard error?
E) What's your obtained t?
Answer:
A) The null hypothesis is H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis is Hₐ; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
B) The critical value is 4.604
C) The pooled variance is 11,870.2777
D) The standard error is-0.2321
E) The obtained is -0.2040
Step-by-step explanation:
The given values are;
[tex]\overline x_1[/tex] = 23.76, [tex]\overline x_2[/tex] = 34.54
s₁ = 123.43, s₂ = 105.65
n₁ = 5, n₂ = 20
A) The null hypothesis, H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
B) The degrees of freedom, df = 4 - 1 = 3
The critical t-value is given at α = 0.01 is given on the t-table for two tailed test as t = 4.604
C) The pooled variance is given by the following formula;
[tex]S_P^2 = \dfrac{(n_1 - 1) \cdot s_1^2 + (n_2-1) \cdot s_2^2}{n_1 + n_2 - 2 }[/tex]
Plugging in the values gives;
[tex]S_P^2 = \dfrac{(5 - 1) \cdot 123.43^2 + (20-1) \cdot 105.65^2}{5+ 20 - 2 } = 11,870.2777[/tex]
The pooled variance, [tex]s_p^2[/tex] = 11,870.2777
D) The standard error, SE, is given as follows;
[tex]t=\dfrac{(\bar x_{1}-\bar x_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Therefore, we get;
[tex]t=\dfrac{(23.76-35.34)}{\sqrt{\dfrac{123.43^{2} }{5}-\dfrac{105.65^{2}}{20}}} = -0.2321[/tex]
The standard error, SE ≈ -0.2321
E) The obtained 't' is given as follows;
[tex]\sigma _{\overline x_1 - \overline x_2} = \sqrt{\dfrac{s_1^2}{n_1-1} +\dfrac{s_2^2}{n_2-1} }[/tex]
Therefore, we have;
[tex]\sigma _{\overline x_1 - \overline x_2} = \sqrt{\dfrac{123.43^2}{5-1} +\dfrac{105.65^2}{20-1} } \approx 56.7564[/tex]
The obtained t is given as follows;
[tex]t(Obtained)=\dfrac{(\bar x_{1}-\bar x_{2})}{\sigma _{\overline x_1 - \overline x_2} }[/tex]
Therefore, we get;
[tex]t(Obtained)=\dfrac{(23.76-34.54)}{56.7564} \approx -0.2040[/tex]
The obtained t = -0.2040
PLEASE HELP
x + 2/3 = 9/10
Answer:
The answer is x= 7/30