Find the area of a regular hexagon with a side length of 5cm, Round to the nearest tenth.
Answer:
i think its 64.95cm
Step-by-step explanation:
A spinner with 6 colors is spun and a number cube is tossed determine the number of outcomes
Answer:
36
Step-by-step explanation:
since there are six outcomes for the spinner and six outcomes for the cube,
6 x 6 = 36
In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.9 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 65 inches. The probability that the study participant selected at random is less than 65 inches tall is nothing. (Round to four decimal places as needed.)
Answer:
The probability that a study participant has a height that is less than 65 inches is 0.1103.
Step-by-step explanation:
We are given that the heights in the 20-29 age group were normally distributed, with a mean of 69.9 inches and a standard deviation of 4.0 inches.
A study participant is randomly selected.
Let X = heights in the 20-29 age group.
So, X ~ Normal([tex](\mu=69.9,\sigma^{2} =4.0^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = mean height = 69.9 inches
[tex]\sigma[/tex] = standard deviation = 4.0 inches
Now, the probability that a study participant has a height that is less than 65 inches is given by = P(X < 65 inches)
P(X < 65 inches) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{65-69.9}{4}[/tex] ) = P(Z < -1.225) = P(Z [tex]\leq[/tex] 1.225)
= 1 - 0.8897 = 0.1103
The above probability is calculated by looking at the value of x = 1.225 in the z table which lies between x = 1.22 and x = 1.23 which has an area of 0.88877 and 0.89065 respectively.
Please answer this correctly
4yd^2
2yd^2
6yd^2
Step-by-step explanation:
Rule: height x base/2
The area of the big triangle=2 x 4/2 = 4 yd^2
The area of the small one= 2 x2/2 =2yd^2
The total area of the trapezoid is the sum of these areas= 2+4=6yd^2
2/5 plus 1/4 plus 7/10
The answer is 1 7/20
2/5 x 4/4 + 7/10 x 2/2 + 1/4 x 5/5
= 8/20 + 14/20 + 5/20
= 27/20
= 1 7/20
Answer:
27/20 or 1 and 7/20
Step-by-step explanation:
All you do is find common factors.
simplify (6 1/4)^4
a. 6^4
b. 1/6
c. 6^16
d. 6
Answer:
D not sure if its right tho
Answer:6
Step-by-step explanation:
8. Peter and his partner are conducting a physics experiment on pendulum motion. Their 30-cm
pendulur traverses an arc of 15 cm. To the nearest degree, how many degrees of rotation did
the pendulum swing?
Answer: 90/pi degrees
Step-by-step explanation:
It forms a 15cm arc from a circle of radius 30 cm.
The diameter is 30*2*pi = 60pi cm. So the arc is 15/60pi = 1/4pi of the way around a 360 degree circle. This is 1/4pi * 360 = 90/pi degrees.
Hope that helped,
-sirswagger21
The pendulum will swing 28.68° if the 30-cm pendulum traverses an arc of 15 cm.
What is a circle?It is defined as the combination of points that, and every point has an equal distance from a fixed point (called the center of a circle).
We know that relationship between arc length s and central angle θ:
s = rθ
Where r is the radius of the circle
We have s = 15 cm
r = 30 cm
15 = (30)(θ)
θ = 0.5 radians
To convert it to a degree, multiply it by 180/π
θ = 0.5(180/π)
θ = 28.647 ≈ 28.68°
Thus, the pendulum will swing 28.68° if the 30-cm pendulum traverses an arc of 15 cm.
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Which of the following best describes the slope of the line below?
PLSSS HELP
The slope is zero. Slope formula is Y=mx+b and since B is 1.5 and it is a straight line, Y=mx+1.5. What plus 1.5 is 1.5? 0. Hope this helps.
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
B. (f - g)(x) = [tex]3^x-2x+14[/tex]
Step-by-step explanation:
→Set it up, like so:
[tex](3^x+10)-(2x-4)[/tex]
→Distribute the -1 to (2x - 4):
[tex]3^x+10-2x+4[/tex]
→Add like terms (10 and 4):
[tex]3^x-2x+14[/tex]
evaluate...
(2/1) to the power -2
Answer:
hope this helps :)
Step-by-step explanation:
1/4 because 2/1 is 2 and 2 to the power of -2 is 1/4
What are the factors of 2x + 3x 54? Select two options
2x - 9
2x6
2x + 6
X-6
x+6
Answer:
(2x -9)(x +6)Step-by-step explanation:
Perhaps you're factoring ...
2x² +3x -54
= 2x² +12x -9x -54 . . . . rewrite 3x appropriately
= 2x(x +6) -9(x +6) . . . . factor pairs of terms
= (2x -9)(x +6) . . . . . . . . finish the factoring
The factors are (2x -9) and (x +6).
Write down the definition of a random sample.
Answer:
Step-by-step explanation:
Random sampling is a procedure for sampling from a population in which (a) the selection of a sample unit is based on chance and (b) every element of the population has a known, non-zero probability of being selected.
Answer:
A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.
I hope this helped...
A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 5% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 4% during the current year. In addition, it estimates that 15% of employees who had lost-time accidents last year will experience a lost-time accident during the current year. a. What percentage of the employee will experience a lost-time accident in both years (to 1 decimal)?
Answer:
The percentage of the employee will experience a lost-time accident in both years is 0.0%
Step-by-step explanation:
Let A denote events that employees suffered lost-time accidents during the last year
Let B denote events that employees suffered lost-time accidents during the current year
P(A) = 5% = 0.05
P(B) = 4% = 0.04
P(B | A) = 15% = 0.15
(a) P (A ∩ B) = P(B | A) × P(A)
= 0.15 × 0.05
= 0.0075
= 0.0 (1 decimal place)
The probability that an employee will experience a lost- time accident in both years is 0.0
Data on return-to-pay ratios was collected from CEOs of companies within both the low-tech industry and the consumer products industry.
Low-Tech Consumer Products
Sample size 14 12
Sample mean 157 218
Sample Variance 1563 1602
Assume population variances are unequal.
(a) The point estimate of the difference between the means of the two populations is
(b) The standard error for the difference between the two means is
(c) The correct distribution to use is :
t-distribution with 26 degrees of freedom
t-distribution with 23 degrees of freedom
normal distribution
t-distribution with 24 degrees of freedom
Answer:
Step-by-step explanation:
The confidence interval for the difference of two population means is expressed as
Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)
Where
x1 = sample mean of low-tech industry
x2 = sample mean of consumer products industry
s1 = sample standard deviation low-tech industry
s2 = sample standard deviation for consumer products industry
n1 = number of samples of low-tech industry
n2 = number of samples of consumer products industry
a) x1 - x2 is the point estimate of the difference between the means of the two populations
Therefore,
Point estimate = 157 - 218 = - 61
b) the formula for standard error is expressed as
√(s1²/n1 + s2²/n2)
Variance = standard deviation²(s²)
s1² = 1563
s2² = 1602
Standard error = √(1563²/14 + 1602²/12) = 623.2
c) Degree of freedom =
(n1 - 1) + (n2 - 1) = (14 - 1) + (12 - 1) = 24
t-distribution with 24 degrees of freedom
According to the data given, we have that:
a) 61
b) 15.65
c) t-distribution with 24 degrees of freedom
Item a:
The point estimate is the difference between the two sample means, hence:
218 - 157 = 61.
Item b:
For each sample, the standard errors are:
[tex]s_l = \sqrt{\frac{1563}{14}} = 10.57[/tex]
[tex]s_h = \sqrt{\frac{1602}{12}} = 11.54[/tex]
For the difference of the two means, it is:
[tex]s = \sqrt{s_l^2 + s_h^2} = \sqrt{10.57^2 + 11.54^2} = 15.65[/tex]
Item c:
Samples of 14 and 12, hence 14 + 12 - 2 = 24 df.
A similar problem is given at https://brainly.com/question/12490448
work out the length of the container. Giver your answer to the nearest whole centimetre.
Dennis is making a container for tomato plant. The container will be in the shape of a cuboid.
missing length ? 40cm by 55cm.
The capacity of the container will be 180 litres.
1 Litre =1000cm cuboid.
Answer:
Length of the container = 82 cm
Step-by-step explanation:
Given:
Breadth of the container is 40 cm and height of the container is 55 cm
Volume of the container is 180 litres
To find: length of the container
Solution:
A container is in the shape of the cuboid.
Volume of cuboid = length × breadth × height
Put breadth = 40 cm , height = 55 cm and volume = 180 litres = 180000 [tex]cm^3[/tex]
(as 1 litre = 1000 [tex]cm^3[/tex] )
Therefore,
[tex]180000=length\,\times \,40\times 55\\length = \frac{180000}{40\times 55}=81.82\approx 82\,\,cm[/tex]
Bernard bought 8gal of paint. Convert the volume to liters. Round to the nearest tenth
Answer:
In one gallon of paint there are about 3.8 liters so 8 gallons is about 30.3 liters.
After a series of major corporations admitted to large accounting irregularities, a public policy research institute conducts a survey to determine whether the public favors increased governmental regulation and oversight of corporations. Which of the following questions will deliver an unbiased response?
a. In light of the recent wave of shocking corporate accounting fraud, should government increase its regulation and oversight of corporations?
b. Should privately-owned companies be subjected to intrusive governmental regulation and oversight?
c. ls the government doing enough to protect American shareholders from corporate greed?
d. None of the above
Answer:
I think option B
Step-by-step explanation:
Should privately-owned companies be subjected to intrusive governmental regulation and oversight?
This question will produce an unbiased answer either a yes or a no. The question is simple and not too loaded and it is direct without including an inclination to bend to a particular direction. It will produce unbiased responses in that no comment was made about the admittance to large accounting irregularities.
A chemist needs a 20% solution of alcohol. How many liters of 15% solution should be added to 4 liters of 40% solution to get a 20% solution?
Answer:
16
Step-by-step explanation:
Let's call the liters x. We can write 0.15x + 0.4 * 4 = 0.2 (x + 4). When we solve for x we get x = 16 liters.
A fraction with a zero in the numerator equals
Answer:Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero. all have a fraction value of zero because the numerators are equal to zero.
how many significant numbers in 34.6209
Answer:
6
Step-by-step explanation:
9. ABCD is a square and ABK is an equilateral triangle outside the square,
Find measurment of angle DKC
Answer:
< DKC = [tex]60^{0}[/tex]
Step-by-step explanation:
A square is a quadrilateral that has equal length of side. While an equilateral triangle is one with equal length of sides and equal values of angles.
Given square ABCD and that equilateral triangle ABK is outside the square, both figures share side AB. This shows that the length of the sides of the triangle is the same as the length of the side of the square.
i.e /AD/ = /CD/ = /BC/ = /AB/ = /AK/ = /KB/
Thus, < DKC = [tex]60^{0}[/tex] (property of angles in an equilateral triangle)
Determine the maximum r-value of the polar equation r = 3 + 3 cos theta
Answer:
Step-by-step explanation:
6
four apples and one banana cost £1.40 seven apples and one banana cost £2.00 work out the cost of an apple and the cost of a banana .
Answer:
apple: £0.20banana: £0.60Step-by-step explanation:
Let "a" and "b" represent the costs of one apple and one banana, respectively. Then the purchases can be written ...
4a +b = 1.40
7a +b = 2.00
Subtracting the first equation from the second gives ...
(7a +b) -(4a +b) = (2.00) -(1.40)
3a = 0.60 . . . . simplify
a = 0.20 . . . . . .divide by 3
Using this in the first equation, we have ...
4(0.20) +b = 1.40
b = 0.60 . . . . . subtract 0.80
The cost of an apple is £0.20; the cost of a banana is £0.60.
my last question and im done, please help!
Answer:
2 acute and one right.
Step-by-step explanation:
plz mark brainliest!
Answer:
2 acute 1 right, you asked for ASAP so theres no explanation
You cant mix right and obtuse, and you cant have more than 1 obtuse in a triangle. There has to be at least 2 acute angles.
B point is (-5,-4) moves through the translation (x+1 , y-3) what will be the coordinates of B
Answer:
(-4,-7)
Step-by-step explanation:
Adding 1 to the x and subtracting 3 from the y we get
-5+1= -4
And
-4-3= -7
You are studying a population of squirrels on the south rim of the Grand Canyon and find that 9 squirrels out of 100 observed had a unique, solid black color variation. In other mammals, the solid black color variation is caused by a recessive allele, and you assume that to be the case with these squirrels. If the population is in Hardy-Weinberg equilibrium, which of the following would be true?
A. q2 = 0.09
B. .q2 = 0.9
C. The frequency of the black color allele is 0.3, the frequency of the dominant allele is 0.7
D. The frequency of the heterozygous genotype is 4.2%
E. A and C
Which of the following is/are possible applications for use of the CRISPR-Cas9 system?
A. Disable dominant deleterious genes
B. Turn on and off specific genes by disabling Cas9 nuclease activity and attaching it to a transcriptional activator or repressor protein
C. Study gene function
D. all of the above
Genome wide association studies are important for behavioral disorders because
A. Candidate genes can be identified for further study
B. They provide an association between genetic loci and phenotypes
C. They provide a tool to help understand how genetic and environmental factors interact to cause psychiatric disorders
D. all of the above
Answer:
Step-by-step explanation:
Ans-1.)
q 2 = 9 /100 (A) q = 0.3 (p + q) 2 = 1 p + q = 1 p = 1- q = 1 - 0.3 p = 0.7 * The frequency of black color allele is 0.3 and dominant allele is 0.7 (C)
* (A) and (C)Ans -2.) CRISPR -Cas 9 system has very wide application :
* can be used to disable the dominant deleterious genes .
* Turn on and off by disabling Cas9 nuclease activity and attaching to a transcriptional activator or repressor protein.
* widely used to study function
* All the above (answer)Ans-3.) Genome wide association studies are important to study behavioral disorders because
* candidate genes identified for further studies.
* Provide an association between genetic loci and phenotypes.
* Provide a tool to help understand how genetic and environmental factors interact to pyschiatric disorders
* All of the above (answer)how do i know when a set of ordered pairs that represents a function?
Answer:
How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!
Step-by-step explanation:
Find the missing side. Round to
the nearest tenth.
x
9
28°
x = [?]
Answer:
19.2
Step-by-step explanation:
It's right on Acellus.
The required value of x nearest to tenth is 19.17
What is hypotenuse?The longest side of the right angled triangle is called hypotenuse
By the Pythagoras theorem in the right angled triangle
h^2 = b^2 + p^2
where h = hypotenuse, b = base, p = perpendicular
How to calculate hypotenuse?Here we have given perpendicular p = 9
and an angle = 28°
Using sin for the given angle we have
sin 28° = [tex]\frac{perpendicular}{hypotenuse}[/tex]
0.46947 = [tex]\frac{9}{x}[/tex]
x = [tex]\frac{9}{0.46947}[/tex]
x = 19.17
Hence the required length of the side hypotenuse = x = 19.17
This is the conclusion to the answer.
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According to a report released by CIBC entitled "Women Entrepreneurs: Leading the Charge," the average age for Canadian businesswomen in 2008 was 41. In the report, there was some indication that researchers believed that this mean age will increase. Suppose now, a few years later, business researchers in Canada want to test to determine if, indeed, the mean age of Canadian businesswomen has increased. The researchers randomly sample 97 Canadian businesswomen and ascertain that the sample mean age is 43.4. From past experience, it is known that the population standard deviation is 8.95. Test to determine if the mean age of Canadian businesswomen has increased using a 1% level of significance. What is the p-value for this test? What is the decision? If the null hypothesis is rejected, is the result substantive?
Answer:
We conclude that the mean age of Canadian businesswomen has increased.
Step-by-step explanation:
We are given that according to a report released by CIBC entitled "Women Entrepreneurs: Leading the Charge," the average age for Canadian businesswomen in 2008 was 41.
The researchers randomly sample 97 Canadian businesswomen and ascertain that the sample mean age is 43.4. From past experience, it is known that the population standard deviation is 8.95.
Let [tex]\mu[/tex] = mean age of Canadian businesswomen.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 41 {means that the mean age of Canadian businesswomen has decreased or remained same}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 41 {means that the mean age of Canadian businesswomen has increased}
The test statistics that would be used here One-sample z-test statistics because we know about population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean age of Canadian businesswomen = 43.4
[tex]\sigma[/tex] = population standard deviation = 8.95
n = sample of Canadian businesswomen = 97
So, the test statistics = [tex]\frac{43.4-41}{\frac{8.95}{\sqrt{97} } }[/tex]
= 2.64
The value of z test statistic is 2.64.
Also, P-value of the test statistics is given by;
P-value = P(Z > 2.64) = 1 - P(Z < 2.64)
= 1 - 0.99585 = 0.00415
Now, at 1% significance level the z table gives critical value of 2.33 for right-tailed test.
Since our test statistic is more than the critical value of z as 2.64 > 2.33, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the mean age of Canadian businesswomen has increased.
A rectangle has a length of 60 in and a width of 8 in. Given a scale factor of 4in:5ft. What is the area of the rectangle?
Answer:
750ft²
Step-by-step explanation:
Area of rectangle = L*B
Before we find the area of the given rectangle, we need to convert the dimensions using the given scale.
Thus, dimensions of the given rectangle using the scale factor of 4in:5ft would be:
==> Length = 60in = (60*5)/4 = 75ft
Breadth or Width = 8in = (8*5)/4 = 10ft
Therefore, area of rectangle = L * B
= 75ft * 10ft
= 750 ft²
Area of rectangle = 750ft²
