What is t in degrees?
Answer:
100
Step-by-step explanation:
Because the 40 degree angle is an inscribed angle opposite of arc u, arc u's angle measure must be 40*2=80 degrees. Since t+u=180 degrees, t must be 100 degrees. Hope this helps!
The formula for the area of a triangle is A = 1/2 bh, in which b represents the length of the base and h represents the height. If a triangle has an area of 240 mm2? and the height is 16 mm, what is the measureof the base?
The measure of the base is
mm.
Answer:
30 mm
Step-by-step explanation:
Formula: A = 1/2bh
Substitution: 240 = 1/2b • 16
Solving:
240 = 8b
240 = 8 • 30
b = 30 mm
a company manufactures rice in 10 kg bags with a standard deviation of 1.25 kg per bag. what is the probability that a random sample of 15 bags will have a mean between 9 and 9.5 kgs?
Probability that a random sample of 15 bags will have a mean between 9 and 9.5 kgs is 0.0596.
What is probability ? Probability is simply the possibility that something will happen. We may talk about the possibility of one result, or the likelihood of numerous outcomes, when we don't know how an event will turn out. The study of events with a probability distribution is known as statistics.Calculation\(\sigmaT = \sigma / \sqrtn = 1.25 / \sqrt15 = 0.3227\)
\(= P[(9 - 10) / 0.3227 < (T - \muT ) / \sigmaT < (9.5 - 10) / 0.3227)]\)
= P(-3.10 < Z < -1.55)
= P(Z < -1.55) - P(Z < -3.10)
= 0.0606 - 0.001
= 0.0596
Probability that a random sample of 15 bags will have a mean between 9 and 9.5 kgs = 0.0596
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what is 48,825 divided by 15
Answer:
3255
Step-by-step explanation:
Answer: The answer is 3255
Step-by-step explanation: It just is.
solve and graph (d-5)/8 > -2
Answer: To solve (d-5)/8 > -2, you can multiply both sides by 8 to get d-5 > -16. Then, add 5 to both sides to get d > -11. To graph this solution, draw a number line and shade all values greater than -11.
Calculate the difference between 7.841 and 3.733
You have to subtract each value from rigth to left.
\(\begin{gathered} 007.841 \\ -03.733 \\ \text{ 4.107} \end{gathered}\)The result for 7.841 minus 3.733 is 4.107
Whats the product of 2x - 3 and x + 1.
answer explerts help pleaseee show steps also
Three are three coins in a bag. Coin 1 (call it C1) is a fair coin, coin 2 (call it C2) and coin 3 (call it C3) are both biased with coin 2 having heads on both sides and coin 3 having tails on both sides. You randomly chose one and tossed it twice. (a) Find the probability of obtaining two heads from C1, i.e., the fair coin. (b) Find the probability of obtaining two heads from C2. (c) Find the probability of obtaining two heads.
Answer: god
Step-by-step explanation: made god ur answer then say god is always right
Suppose that θ is an acute angle of a right triangle and that sec(θ)= 7
11
. Find csc(θ) and tan(θ). a) csc(θ)= 7
6 2
,tan(θ)= 11
6 2
b) csc(θ)= 12
11 2
,tan(θ)= 12
7 2
csc(θ)= 12
11 2
,tan(θ)= 7
6 2
d) csc(θ)= 11
6 2
,tan(θ)= 7
6 2
e) csc(θ)= 12
7 2
,tan(θ)= 12
11 2
f) None of the above.
csc(θ)= 12/7√2,tan(θ)= 12/7√2` is the value of csc(θ) and tan(θ).
Given, `sec(θ)= 7/11`To find:`csc(θ) and tan(θ)
`Formula used: `secθ = hypotenuse / adjacent`, `
cscθ = hypotenuse / opposite` and
`tanθ = opposite / adjacent`
We know that `sec(θ) = 7/11`
Let's draw a right-angle triangle to solve this problem,
In the given triangle, let `θ` be the acute angle, the hypotenuse is `11`, and the adjacent side is `7`.
Therefore, the opposite side will be `√(11² - 7²) = √(121-49) = √72
As we know, `cscθ = hypotenuse / opposite
Therefore, `cscθ = 11 / √72 = 11√72/72
To simplify the value of `cscθ`, we will multiply and divide `√2` in the denominator.
So, `cscθ = (11/72) * √72 * √2/√2 = 11√144/72√2` = `11/6√2
Also, `tanθ = opposite / adjacent`=`√72 / 7
To simplify the value of `tanθ`, we will multiply and divide `√2` in both numerator and denominator.
So, `tanθ = √72 * √2 / 7 * √2`=`√144 / 7√2` = `12/7√2
Hence, the correct answer is option `(e)` `csc(θ)= 12/7√2,tan(θ)= 12/7√2`.
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Data analysts prefer to deal with random sampling error rather than statistical bias because A. All data analysts are fair people B. There is no statistical method for managing statistical bias C. They do not want to be accused of being biased in today's society D. Random sampling error makes their work more satisfying E. All of the above F. None of the above
The correct answer is F. None of the above. Data analysts prefer to deal with random sampling error rather than statistical bias for non of the reasons.
Data analysts prefer to deal with random sampling error rather than statistical bias because random sampling error is a type of error that occurs by chance and can be reduced through larger sample sizes or better sampling methods.
On the other hand, statistical bias occurs when there is a systematic error in the data collection or analysis process, leading to inaccurate or misleading results. While there are methods for managing and reducing statistical bias, it is generally considered preferable to avoid it altogether through careful study design and data collection. Being fair or avoiding accusations of bias may be important ethical considerations, but they are not the primary reasons for preferring random sampling error over statistical bias.Thus, Data analysts prefer to deal with random sampling error rather than statistical bias for non of the reasons.
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If y varies directly as x, find y:
{(8, -12). (20, y)}
\(\\ \sf\longmapsto x_1y_2=x_2y_1\)
\(\\ \sf\longmapsto 8y=-12(20)\)
\(\\ \sf\longmapsto 8y=-240\)
\(\\ \sf\longmapsto y=-240/8\)
\(\\ \sf\longmapsto y=-60\)
All of the following represent three multiplied by six except:
03x6
03-6
O3(6)
3:6
Help please
Answer:
Except the last one 3:6 because its not multiplied by six but divided. Therefore the correct answer is the last one
Step-by-step explanation:
hope it helps
What is the height of a right circular cylinder made from a rectangular sheet of lengil
20 cm and breadth 15 cm if it is rolled along its length?
Answer:
15 cm
Step-by-step explanation:
When the rectangular sheet rolled along its length, the breadth becomes the height of the cylinder, and the length becomes the circle, so the height is 15 cm
PLS HELP ASAP I DONT UNDERSTAND
Answer:
A. -.8x + 4.8y +16 is your answer
Step-by-step explanation:
you need to use distributive property first
4(.5x + 2.5y - .7x - 1.3y +4)
>>> 2x + 10y - 2.8x - 5.2y +16
second combine like terms:
2x + 10y - 2.8x - 5.2y +16
>>> -.8x + 4.8y +16
you cant go any further so that's your answer
Hope it Helps!
Calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall.
Answer:
Logic - BMI formula
703*(lbs/inches^2)
703(118/64^2)=703(118/4096)
703*0.0288=20.2464
The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.
BMI stands for Body Mass Index.
It's a measure of body fat based on height and weight that applies to both adult men and women.
BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.
It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.
Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703
First, we need to convert the height into inches:5 feet 4 inches = 64 inches
Next, we plug the values into the formula and solve for the BMI:
BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464
Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.
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On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities.10.38 9.08 11.7 6.4 12.32 14.43 15.4610.02 14.4 16.08 17.5 19.08 17.88 12.7516.7 17.25 15.54 14.7 18.81 17.89 14.818.32 15.95 26.75 22.22 22.66 20.88 23.3518.95 23.6 19.16 23.65 27.7 26.95 27.0426.89 24.58 37.76 26.41 38.91 29.36 41.55(a)Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.)H0:Ha:(b)What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)(c)At α = 0.05, can your null hypothesis be rejected? What is your conclusion?Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.(d)Repeat the preceding hypothesis test using the critical value approach.State the null and alternative hypotheses. (Enter != for ≠ as needed.)H0:Ha:Find the value of the test statistic. (Round your answer to three decimal places.)State the critical values for the rejection rule. Useα = 0.05.(Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistic≤test statistic≥State your conclusion.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.
The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .
The charge at which anything happens is referred to as the velocity at which it happens.
The required details for mean rate :
(a) H0: µ = 21.62
Ha: µ ≠ 21.62
(b) t = -1.231
p-value = 0.2253
(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.
(d) H0: µ = 21.62
Ha: µ ≠ 21.62
t = -1.231
check statistic ≥ 2.020
Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.
The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.
The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.
The crucial values for t at this level of significance are t=2.019.
Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.
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If you wanted to move f(a) = 2 - 2 up 4 unhs, what would the new equation
be?
g(x) = x + 4
g(x) = x + 2
g(x) = 4(x - 2)
g(x) = (x + 4) -2
Answer:
g(x)=x+2
Step-by-step explanation:
took the test and found out the right answer.
Find the slope of the lines graphed below
Answer:
1
Step-by-step explanation:
This is pretty easy all you have to do is rise/run to find your answer
Mr.Swanson drove 150 miles in 4 hours how many miles will he drive in 1 hour
Answer:
37.5 miles
Step-by-step explanation:
Distance covered in 4 hours = 150 miles
Distance covered in 1 hour = 150/4 = 37.5 miles
Write an equation with a variable for the diagram. What is the value of y?
Answer:
Y=18
Step-by-step explanation:
18+13=30 30*3=90
Use integration to find the position function for the given velocity function and initial condition. (Rubric 10 marks) \[ v(t)=3 t^{3}+30 t^{2}+5 ; s(0)=3 \]
Answer:
\(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\)
Step-by-step explanation:
Integrate v(t) with respect to time
\(\displaystyle \int(3t^3+30t^2+5)\,dt\\\\=\frac{3}{4}t^4+10t^3+5t+C\)
Plug-in initial condition to get C
\(\displaystyle s(0)=\frac{3}{4}(0)^3+10(0)^3+5(0)+C\\\\3=C\)
Thus, the position function is \(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\) given the velocity function and initial condition.
Someone please help fasttt!!
Answer:
the slope is -1/4 throughout the line.
Step-by-step explanation:
the slope of a line never changes anywhere on the line. otherwise it would not be a line.
the slope is expressed by the ratio y/x indicating how many units y changes, when x changes by a certain number of units.
and in this graphic, when x changes 4 units to the right (positive), y changes 1 unit down (negative).
therefore -1/4
Answer:
3rd option
Step-by-step explanation:
The line has the same slope over the whole line
Calculate slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = O (0, 0) and (x₂, y₂ ) = B (- 12, 3)
m = \(\frac{3-0}{-12-0}\) = \(\frac{3}{-12}\) = - \(\frac{1}{4}\)
The slope is - \(\frac{1}{4}\) throughout the line
To get the 10% discount, a shopper must spend more than $500.
Use d to represent the spending (in dollars) of a shopper who gets the discount
Answer:
d\(\geq\)$500
Step-by-step explanation:
To get the 10% discount, a shopper must spend at least $500
so 'd' represents the spending (in dollars) of a shopper who gets the discount
The value of d must be greater than or equal to $500
d\(\geq\)$500
complete the table
x - 2 7 10
y - 30 36
Answer:
x-15
y 42
Step-by-step explanation:
Find the length of EG:
G
C
E
B.
Answer:
16
Step-by-step explanation:
Jaideep changes $12 000 into euros (€) to buy land in another country.
The exchange rate is €1 = $1.33.
Calculate the number of euros Jaideep receives.
A farmer sold food grains for 9200 rupees through an agent. The rate of commission
was 2%. How much amount did the agent get?
The price of a machine depreciates at 10% every year. If the present value of the
machine be Rs.100000, what will be its value after 3 years?
Lucinda invests $500 at a rate of 5% per year simple interest.
Calculate the simple interest Lucinda has after 3 years.
PLEASE GIVE ANSWERS TO THESE QUESTIONS REALLY QUICK
exercise 1
1) 12 000 : 1,33 = 9022,55 €
exercise 2
1) 9200 : x = 100% : 2%
(9200*2) : 100 = 184 rupees
(sorry dont know the other two ones)
A tennis court is 78 feet long with the net located at the center. The distance from the net to the back of the service box is 21 feet, and the net is 3 feet tall. Assuming Carina can hit the ball so hard that its path is linear, from what height must she hit the ball to have the serve just clear the net and land in the service box? Decide whether or not it is reasonable for Carina to reach this height if she is 5′7" tall. Also, at what angle does the ball hit the ground? Your solution should include: A labeled diagram that shows a bird's-eye view of the path of the ball. A labeled diagram that shows the side view of Carina, the ideal height of the tennis racket, the ideal path of the tennis ball, and the measurements that are needed from the bird's-eye view diagram.
Carina needs to hit the ball at a height of about 3.04 feet to clear the net and land in the service box.
What is the trigonometric ratio?
There are six trigonometric ratios- sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec). Let θ be the angle of the right-angled triangle then, sin θ = opposite side/hypotenuse or 1/cosθ.
To determine the height Carina needs to hit the ball to clear the net and land in the service box, we can use the following steps:
Draw a bird's-eye view diagram of the tennis court, including the net, the service box, and the path of the ball.
Draw a side view diagram of Carina and the ideal path of the tennis ball, including the measurements that are needed from the bird's-eye view diagram.
Use trigonometry to calculate the height Carina needs to hit the ball.
Determine whether it is reasonable for Carina to reach this height, given her height of 5'7".
Calculate the angle at which the ball hits the ground.
Here are the steps in more detail:
Bird's-eye view diagram:
We can draw a bird's-eye view diagram of the tennis court, with the net located at the center and the service box 21 feet away from the net. The distance from the net to the service box is (78-21)/2 = 28.5 feet. We can label the diagram with these distances and the height of the net (3 feet).
Side view diagram:
Next, we can draw a side view diagram that shows Carina, the ideal path of the tennis ball, and the measurements that are needed from the bird's-eye view diagram. We can label the diagram with the height of the tennis racket (h) and the distance from the racket to the net (x). We also need to label the height Carina needs to hit the ball to clear the net (y) and the height of the net (3 feet).
Calculate the height Carina needs to hit the ball:
To calculate the height Carina needs to hit the ball, we can use the following trigonometric formula:
tan(θ) = y / x
where theta is the angle between the ideal path of the ball and the ground, y is the height Carina needs to hit the ball, and x is the distance from the racket to the net.
Solving for y, we get:
y = x * tan(θ)
We know that x = 21 feet, and we can estimate that the angle theta is about 8 degrees (since the ball needs to clear the net by at least 3 feet). Plugging in these values, we get:
y = 21 * tan(8) = 3.04 feet
So Carina needs to hit the ball at a height of about 3.04 feet to clear the net and land in the service box.
Determine whether it is reasonable for Carina to reach this height:
Carina's height is 5'7", which is equivalent to 67 inches.
If we assume that Carina's arm reaches to about shoulder height, which is roughly halfway between her height and the height she needs to hit the ball (3.04 feet), then she would need to hit the ball about 1.5 feet above her shoulder.
This seems like a reasonable height for a skilled tennis player.
Calculate the angle at which the ball hits the ground:
To calculate the angle at which the ball hits the ground, we can use the following trigonometric formula:
tan(θ) = y / (x + d)
where d is the distance from the net to where the ball lands. We know that y = 3.04 feet, x = 21 feet, and d = 21 + 21 = 42 feet (since the ball travels the same distance on the other side of the court). Plugging in these values, we get:
tan(θ) = 3.04 / 42
θ = arctan(3.04 / 42)
θ = 0.07225
Hence, Carina needs to hit the ball at a height of about 3.04 feet to clear the net and land in the service box.
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AC =
Round your answer to the nearest hundredth.
Answer:
hope this helps you
Can someone help me please
Answer:
A
Step-by-step explanation: