Answer:
Surface area of prism = 1301 cm²
Step-by-step explanation:
A triangular pyramid has 3 rectangular sides and 2 triangular sides.
Now, we are told that the triangular side is isosceles.
This means that two of the rectangular sides which share a side with the equal side of the triangle are equal as well as the 2 triangular sides.
Surface area of prism = 2(area of triangular face) + 2(area of rectangle sharing one side with the equal side of the triangle) + (area of rectangle sharing side with the unequal side of the triangle).
Area of triangle = ½ × base × height
Area of triangle = ½ × 9 × 13 = 58.5 cm²
Since height of prism is 32 cm, then;
area of rectangle sharing one side with the equal side of the triangle = 32 × 14 = 448 cm²
area of rectangle sharing side with the unequal side of the triangle = 32 × 9 = 288 cm²
Thus;
Surface area of prism = 2(58.5) + 2(448) + 288
Surface area of prism = 1301 cm²
The effectiveness of a blood pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 42.2 for a sample of size 309 and standard deviation 10.7. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 99% confidence level) Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
The 99% confidence interval for how much the drug will lower a typical patient's systolic blood pressure is approximately (40.6, 43.8).
How to determine the confidence intervalThe formula for calculating the confidence interval is:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
we need to find the critical value associated with a 99% confidence level. Since the sample size is large (n = 309), we can use the z-distribution.
The critical value for a 99% confidence level is approximately 2.576.
Next, we need to calculate the standard error using the formula:
Standard Error = Standard Deviation / √(Sample Size)
Standard Error = 10.7 / √309
Now we can calculate the confidence interval:
Confidence Interval = 42.2 ± (2.576 * (10.7 / √309))
Calculating the values:
Confidence Interval = 42.2 ± (2.576 * 0.609)
Confidence Interval ≈ 42.2 ± 1.570
Therefore, the 99% confidence interval for how much the drug will lower a typical patient's systolic blood pressure is approximately (40.6, 43.8).
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The perimeter of a rectangle is 20m and the length is x m find the
area of the rectangle in terms of x
Answer:
2(x+y)
Step-by-step explanation:
perimeter=20cm
length=x
Take the radius to be y
area of a rectangle=2(length+width)
therefore area of a rectangle=2(x+y)
Please help 6th grade math please please help
if you dont know the answer please do not answer this question
Answer:
Least Value: 16
Median: 26
Upper Quartile: 30
Lower Quartile: 20
Greatest Value: 34
Interquartile Range: 10
Range: 18
Listed below are the lead concentrations in measured in different traditional medicines Use a 001 significance level to test the contrat mean lead concentration for all such medicines is less than 13 9 Assume that the sample is a simple random sample 5 95 55 8.5 85 14 155 21 45 105 1 ore: GEE Assuming all conditions for conducting a hypothesis fest are met what are the null ang amative hypotheses?
Null hypothesis (H0): The mean lead concentration for all traditional medicines is equal to or greater than 13.9.
Alternative hypothesis (Ha): The mean lead concentration for all traditional medicines is less than 13.9.
The null and alternative hypotheses for the given scenario can be stated as follows:
Null hypothesis (H0): The mean lead concentration for all traditional medicines is equal to or greater than 13.9.
Alternative hypothesis (Ha): The mean lead concentration for all traditional medicines is less than 13.9.
In other words, the null hypothesis assumes that the population mean lead concentration is 13.9 or higher, while the alternative hypothesis suggests that the population mean lead concentration is less than 13.9.
To test these hypotheses, a hypothesis test can be conducted using the given sample data and a significance level of 0.01 (or 0.001 as mentioned)
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7. Let A = {a, b, c), B = {1, 2, 3, 4), and C = {w, x, y, z), and let R = {(a, 2), (b, 3), (b, 4), (c, 3)} and S = {(1, y), (1, z), (2, w), (3, z)}. What is the composition relation (RS) of R with S?
The composition relation (RS) of R with S is {(a, w), (b, z), (b, z), (c, z)}.
The composition relation (RS) of R with S is obtained by taking the pairs from R and S that have matching elements.
R = {(a, 2), (b, 3), (b, 4), (c, 3)}
S = {(1, y), (1, z), (2, w), (3, z)}
To obtain RS, we need to match the second element of each pair in R with the first element of each pair in S.
For the pair (a, 2) in R, we match the 2 with the second elements of pairs in S: (2, w). So we have (a, w).
For the pair (b, 3) in R, we match the 3 with the second elements of pairs in S: (3, z). So we have (b, z).
For the pair (b, 4) in R, we match the 4 with the second elements of pairs in S: (4, z). So we have (b, z).
For the pair (c, 3) in R, we match the 3 with the second elements of pairs in S: (3, z). So we have (c, z).
Putting it all together, the composition relation RS is:
RS = {(a, w), (b, z), (b, z), (c, z)}
Note that (b, z) appears twice in the composition relation because there are two pairs (b, 3) in R that match with (3, z) in S.
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the measure of ∠ABD is (0.12x+68)° and the measure of ∠CBD is (0.13x+24)°. Find the value of x.
PLS HELP
ILL GIVE ALOT OF POINTS
Answer:
could you add a form?
Step-by-step explanation:
Answer:
Step-by-step explanatio
QUICK
Your bank offers 6 percent annual interest, compounded monthly. If you start with $500 in your account, how much will you have after 3 months?
Answer:$590
Step-by-step explanation:
500*6%=30
30*3=90
500+90=590
Plz Help me this is already overdue
Answer:
2nd Column: [tex]\frac{39-78}{25-59}[/tex]
3rd Column:[tex]1.56[/tex]
Step-by-step explanation:
2) For this, just follow the formula given underneath the chart.
3) Here, simplify the equation used in the 2nd Column. [tex]\frac{39-78}{25-50} = \frac{-39}{-25} = -1.56[/tex]
If 1+1= window, 2 + 2 equals...
Answer:
door?
Step-by-step explanation:
Or is it 2 windows?
The follow-ups to the Window Equation don't as a rule utilize the a additionally image and rises to sign, and are drawn by flipping one of the numbers.
1 + 1 = window
2 + 2 = fish
3 + 3 = eight
4 + 4 = arrow
5 + 5 = apple
6 + 6 = cherry
7 + 7 = triangle
8 + 8 = butterfly
Hope this helps!
Picture below: The steps and associated words showing how to complete the window symbol.
how do you solve this??
Answer:
4x+50=90 being complementary
4x=90-50
x=40/4=10
value of x=10°
Answer: 10
Step-by-step explanation:
50-90= 40
40/4 = 10
The year-end balance sheet of Star Inc. shows total assets of $6,617 million, operating assets of $5,253 million, operating liabilities of $2,822 million, and shareholders' equity of $2,950 million.
The company's year-end net operating assets are:
$9,39 million
$5,253 million
$2,431 million
$8,075 million
None of these are correct.
If the year-end balance sheet of Star Inc. shows total assets of $6,617 million, operating assets of $5,253 million, operating liabilities of $2,822 million, and shareholders' equity of $2,950 million, the company's year-end net operating assets are $2,431 million. Therefore, the correct answer is option C, $2,431 million.
Net operating assets refer to the difference between operating assets and operating liabilities. In this case, the operating assets of Star Inc. are $5,253 million, and the operating liabilities are $2,822 million. Therefore, the year-end net operating assets are:
Net operating assets = Operating assets - Operating liabilities
Net operating assets = $5,253 million - $2,822 million
Net operating assets = $2,431 million
Therefore, the correct answer is option C, $2,431 million.
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Solve the inequality
x - 4/5 > 1/5
x - 4/5 > 1/5
+4/5 +4/5 add 4/5 on each sides, 4/5s will cancel on the left side.
__________ solve for 1/5 + 4/5, which is 1.
x > 1, is the final answer.
hope this helps :)
Answer:
x>1
Step-by-step explanation:
The integral 5√1-4²da is to be evaluated directly and using a series approximation. (Give all your answers rounded to 3 significant figures.) a) Evaluate the integral exactly, using a substitution in the form ax = sin 0 and the identity cos²x = (1 + cos2x). Enter the value of the integral: __ b) Find the Maclaurin Series expansion of the integrand as far as terms in aº. Give the coefficient of * in your expansion: ___ c) Integrate the terms of your expansion and evaluate to get an approximate value for the integral. Enter the value of the integral: d) Give the percentage error in your approximation, i.e. calculate 100x (approx answer - exact answer)/(exact answer). % Enter the percentage error:__
(a) The value of the integral is [tex]\frac{5}{4} (arcsin(4x) + \frac{1}{2} sin(2arcsin(4x))) + C.[/tex]
(b) The coefficient of * in the expansion is -2
(c) The value of the integral after expansion is 1.015.
(d) cannot be estimated
Understanding Integral Approximationa) Evaluate the integral exactly, using a substitution in the form ax = sin θ and the identity cos²θ = (1 + cos 2θ).
First, let's make the substitution
ax = sin θ.
We have
a = 4,
so we can write
4x = sin θ.
Solving for x,
we get
x = (1/4) sin θ.
Next, we need to express √(1 - 4x²) in terms of θ. Since x = (1/4) sin θ, we can substitute it in the expression to get:
√(1 - 4x²) = √(1 - 4(1/4)² sin² θ)
= √(1 - sin² θ)
= √(cos² θ).
Now, the integral becomes:
∫5√(1 - 4x²) dx
= ∫5√(cos² θ) (1/4) cos θ dθ
= (5/4) ∫cos² θ dθ.
Using the identity :
cos²θ = (1 + cos 2θ),
we have
(5/4) ∫(1 + cos 2θ) dθ = (5/4) (θ + (1/2) sin 2θ) + C.
Substituting back θ = arcsin(4x), we have the exact value of the integral: [tex]\frac{5}{4} (arcsin(4x) + \frac{1}{2} sin(2arcsin(4x))) + C.[/tex]
b) Find the Maclaurin Series expansion of the integrand as far as terms in aº. Give the coefficient of * in your expansion.
To find the Maclaurin series expansion, we need to expand the integrand √(1 - 4x²) in a series. We can use the binomial series expansion for this:
√(1 - 4x²) = 1 - 2x² + (3/2)x⁴ - (5/4)x⁶ + ...
Expanding up to terms in a⁰, we have √(1 - 4x²) = 1 - 2x².
The coefficient of a⁰ is -2.
c) Integrate the terms of your expansion and evaluate to get an approximate value for the integral.
To integrate the terms of the expansion, we integrate each term separately:
∫1 dx = x,
∫(-2x²) dx = -(2/3)x³,
∫(3/2)x⁴ dx = (3/10)x⁵,
∫(-5/4)x⁶ dx = -(5/28)x⁷,
Now, we evaluate each integral at the limits of integration. Since the limits were not provided, we'll assume them to be from -1 to 1:
Using the fundamental theorem of calculus, the definite integral is the difference between the antiderivative values at the upper and lower limits:
∫1 dx = [x] from -1 to 1 = 1 - (-1) = 2,
∫(-2x²) dx = [-2(1/3)x³] from -1 to 1 = (-2/3)(1³ - (-1)³) = (-2/3)(1 - (-1)) = (-2/3)(2) = -4/3,
∫(3/2)x⁴ dx = [(3/10)x⁵]
from -1 to 1 = (3/10)(1⁵ - (-1)⁵) = (3/10)(1 - (-1)) = (3/10)(2) = 3/5,
∫(-5/4)x⁶ dx = [(-5/28)x⁷] from -1 to 1 = (-5/28)(1⁷ - (-1)⁷) = (-5/28)(1 - (-1)) = (-5/28)(2) = -5/14.
Adding up all the integrated terms, we get the approximate value of the integral:
2 + (-4/3) + (3/5) + (-5/14) ≈ 1.015.
Therefore, the approximate value of the integral is 1.015.
(d) There is no value for the error, therefore it cannot be evaluated
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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
A
I’m pretty sure it’s A
Answer:
A, sure
mark me as brainliest plz
5 cups of coffee and 2 bottles of water cost $12 4 cups of coffee and 7 bottles of water cost $15
help plss
Answer:
one cup of coffee costs $2, while one bottle of water costs $1
Step-by-step explanation:
We can represent this using two equations:
Variable x represents cups of coffee, and variable y represents bottles of water.5x + 2y = 12
4x + 7y = 15
Your answer for the value of x and y should be
x = 2
y = 1
Therefore, one cup of coffee costs $2, while one bottle of water costs $1.
Match the correct term to its definition.
Fomite E. Portal of exit
Vector F. Zoonotic
Reservoir G. Incubation period
Portal of entry
34. _______ Site where infectious agent enters the body
35. _______ Disease transmitted through an animal bite
36. _______ Population or environment in which pathogen lives and reproduces and on which it depends on its survival
37. _______ Inanimate object covered in disease-causing agent
38. _______ Interval between exposure to pathogen and first signs and symptoms of disease
39. _______ Site where infectious agent leaves the body
40. _______ Living insect or animal involved with disease transmission
The words to fill each gap, respectively, are Portal of entry, Vector, Reservoir, Fomite, Incubation period, Portal of exit, Vector.
Diseases InfectionPortal of entry: It refers to the site or pathway through which an infectious agent enters the body of a susceptible host, allowing the agent to establish an infection.
Vector: A vector is a living organism, usually an insect or animal, that transmits disease-causing pathogens from one host to another. It serves as an intermediate carrier of the infectious agent.
Reservoir: Reservoir refers to a population or environment where a pathogen lives and multiplies, serving as a source of infection. The pathogen depends on the reservoir for its survival and can be transmitted from the reservoir to susceptible individuals.
Fomite: A fomite is an inanimate object or surface that becomes contaminated with disease-causing agents, such as bacteria or viruses. These agents can survive on fomites and potentially transmit infection if they come into contact with a susceptible individual.
Incubation period: The incubation period is the interval between exposure to a pathogen and the appearance of the first signs and symptoms of the disease. It represents the time required for the pathogen to replicate and cause noticeable illness in the infected individual.
Portal of exit: It refers to the site or pathway through which an infectious agent leaves the body of an infected individual, allowing it to be transmitted to other hosts. Examples of portals of exit include respiratory secretions, feces, blood, or skin lesions.
Vector: As mentioned earlier, a vector is a living insect or animal that plays a role in transmitting disease. It can acquire the pathogen from an infected host and transmit it to a susceptible individual, potentially causing disease in the process.
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what is 7 8/9 written as a decimal
HELP PLSSSSSSDSSSSSSSSSSSSSSSSSSS
Answer:
8 inches.
Step-by-step explanation:
Just count how many units there are between the two points :)
Solve the system using matrices (row operations) S42 – 4y = - 4, = 12. 2 + 3y How many solutions are there to this system? A. None B. Exactly 1 C. Exactly 2 D. Exactly 3 E. Infinitely many F. None of the above If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, entert in the answer blank for y and enter a formula for a in terms of t in the answer blank for 1. If there are no solutions, leave the answer blanks for 1 and y empty.
The system has infinitely many solutions.
The given system of equations can be represented using matrices and solved using row operations. Let's rewrite the system in matrix form:
[1 -4] [2] = [-4][1 3] [y] [12]To solve this system using row operations, we'll perform elementary operations to transform the matrix into row-echelon form or reduced row-echelon form. Let's proceed with the operations:
1. R₂ = R₂ - R1
[1 -4] [2] = [-4]
[0 7] [y] [16]
2. R₂ = R2/7
[1 -4] [2] = [-4]
[0 1] [y] [16/7]
3. R₁= R₁ + 4R2
[1 0] [2 + 4(16/7)] = [-4 + 4(16/7)]
[0 1] [y] = [16/7]
Simplifying the calculations, we get:
[1 0] [2 + (64/7)] = [-4 + (64/7)]
[0 1] [y] = [16/7]
This system of equations indicates that x = 2 + (64/7) and y = 16/7. Therefore, there are infinitely many solutions to the system.
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Question 6(Multiple Choice Worth 5 points) (02.02 LC) How can 33/9 be expressed as a decimal? 0 23 0 36 0 43 be 40
Answer:
3.666667
Step-by-step explanation:
You can do long division, or you can use a calculator.
Element X decays radioactively with a half life of 11 minutes. If there are 870 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 154 grams?
y = a(.5) t/h
Answer:
27.5 minutes
Step-by-step explanation:
Using,
R/R' = 2ᵃ/ᵇ------------------ Equation 1
From the equation,
R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.
Given: R = 870 grams, R' = 154 grams, b = 11 minutes.
Substitute these values into equation 1
870/154 = 2ᵃ/¹¹
(870/154)¹¹ = 2ᵃ
Solve for a
2ᵃ = (5.649)¹¹
2ᵃ = 187061.26
Taking the logarithm of both side,
Log2ᵃ = Log(187061.26)
⇒ a = log(187061.26)/log2
a = 8.272/0.301
a = 27.5 minutes
Mason rolls one dice 99 times. How many times can he expect to roll an odd number
greater than one? (Hint: First find Plodd # > 1))
will mark brainliest
Answer:
18
Step-by-step explanation:
formula= length x width x height
3 x 3 x 2 = 18
Answer:
12
Step-by-step explanation:
V = Bh.
Base = b = length x width
length = 3
width = 3
height = 2
6 x 2
Write the percent as a fraction and as a decimal.
5% tax
Fraction (simplified) -
Decimal -
Answer:
Fraction = [tex]\frac{1}{20}[/tex] and Decimal = 0.05
Step-by-step explanation:
Percent means, some number over a hundred.
in this case we have 5%
[tex]\frac{5}{100} = \frac{1}{20}[/tex]
and for decimal form we just move the decimal 2 places to the left because our denominator is a 100 and we get 0.05.
Aiden works at a lab with a huge circular particle accelerator. It has a diameter of 8 kilometers. What is the accelerator's radius?
Step-by-step explanation:
Diameter = 2x Radius
Radius = 1/2 Diameter
[tex] = \frac{1}{2} \times 8 \\ = 4km[/tex]
Answer:
Hey mate!
The radius is 4kmHere's how:-
Diameter is 2 times the radius.
That means, the radius is half of the diameter.
So, radius equals 8 divided by 2.
Radius is 4cm.
Hope it helps!
If you have any more queries or didn't understand my answer, let me know in the comments so I can help you!
Write the inequality shown by the graph.
Answer: A
Step-by-step explanation:
The line and dots are closed circle, so B and D would not be the answer.
The line have passed through the point (-6,4) and (0,2); we uses to find the slope.
slope = m = (y2 - y1)/(x2 - x1) = (2 - 4)/(0 - (-6)) = -2 / 6 = -1/3
we plug in slope to the linear equation in form of y = mx + b, where m is the slope, and b is the y- intercept.
y = -1/3x + 2
So the answer is A.
Which of these is an example of qualitative data?
A how many books your classmates read this year
B. your classmates' favorite books
C. how much a book costs at the store
D. how many pages your favorite book has
i think it depends on if you have enough money to buy the books you need so C would be the answer
Use the sequence {−1,171,875;−234,375;−46,875;−9375,…} to answer the question.
What is the explicit rule that describes the sequence?
an=−1,171,875(125)n−1
an=1,171,875(−15)n−1
an=−1,171,875(15)n−1
an=1,171,875(−115)n−1
Answer:
an = −1,171,875(1/5)^n-1
Step-by-step explanation:
The given sequence is geometric sequence since they have the same common ratio r. The nth term of a geometric sequence is expressed as;
an = ar^n-1
n is the number of terms
r is the common ratio
a is the first term
From the sequence;
a = −1,171,875
r = −234,375 /−1,171,875 = -46,875/−234,375 = 0.2
r = 1/5
Substitute the values in the formula;
an = −1,171,875(1/5)^n-1
Hence the required explicit formula is an = −1,171,875(1/5)^n-1
The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The sequence is {−1,171,875;−234,375;−46,875;−9375,…}
The given sequence is the geometric sequence since they have the same common ratio r. Then the nth term of the geometric sequence will be
[tex]\rm a_n = a\ r^{n-1}[/tex]
Where
Number of terms (n)
First-term (a) = -1,171,875
Common ratio (r) = 1/5
Then nth term will be
[tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]
The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.
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A statistical analysis of the wait (in minutes) at the checkout line of a certain supermarket yields the probability distribution in the table. What is the probability of waiting more than 5 minute
?
The probability of waiting more than 5 minutes at the checkout line of a certain supermarket is 0.35.
This can be calculated by adding the probabilities of waiting 6 minutes (0.10) and 7 minutes (0.25).
The probability distribution table shows that the probability of waiting 0 minutes is 0.50, the probability of waiting 1 minute is 0.20, the probability of waiting 2 minutes is 0.10, and the probability of waiting 3 minutes is 0.05. The probability of waiting more than 5 minutes is the sum of the probabilities of waiting 6 minutes, 7 minutes, and so on. The probability of waiting 6 minutes is 0.10, and the probability of waiting 7 minutes is 0.25. Therefore, the probability of waiting more than 5 minutes is 0.10 + 0.25 = 0.35.
In other words, there is a 35% chance that a customer will wait more than 5 minutes at the checkout line of this supermarket.
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Can someone help me with this. Will Mark brainliest.
Answer:
3.3
Step-by-step explanation: