A kite is flying at the end of a 20-meter string. If the string makes an angle of 55° with the ground, how many meters above the ground, to the nearest meter, is the kite
The total distance of Kite from the ground is 16.38 meters and this can be determined by using the trigonometric function.
Given :
A kite is flying at the end of a 20-meter string. The string makes an angle of 55° with the ground.The following steps can be used in order to determine the total distance of Kite from the ground:
Step 1 - The trigonometric functions can be used in order to determine the total distance of Kite from the ground.
Step 2 - The sine function is used to measure the distance. The mathematical expression of the sine function is:
[tex]\rm sin\theta = \dfrac{P}{H}[/tex]
where P is the perpendicular and H is the hypotenuse.
Step 3 - Now, substitute the values of the known terms in the above expression.
[tex]\rm sin55 = \dfrac{Distance}{20}[/tex]
Step 4 - Simplify the above expression.
Distance = 16.38 meters
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Concert marketing: The college’s performing arts center wanted to investigate why ticket sales for the upcoming season significantly decreased from last year’s sales. The marketing staff collected data from a survey of community residents. Out of the 110 people surveyed, only 7 received the concert brochure in the mail.
Which of the following is a reason that the marketing staff should not calculate a confidence interval for the proportion of all community residents who received the concert brochure by mail? Check all that apply.
A) The sample needs to be random, but we don’t know if it is.
B)The actual count of community residents who received the concert brochure by mail is too small.
C)The actual count of students who community residents who didn’t receive the concert brochure by mail is too small.
D) n(p‐hat) is not greater than 10.
E) n(1 minus p‐hat) is not greater than 10.
Keep in mind, this is a Check all that apply question.
Answer:
A, B, D
Two shops, Tisco and Azda, sell the same brand of baked beans with the following deals.
Calculate the price per 20 items.
Write down which shop is the best value in the comment box.
Tisco= 4 for £1.04
Azda= 5 for £1.35
Answer:
Tisco shop
Step-by-step explanation:
The computation is shown below;
For tisco,
= 20 ÷ 4 × £1.04
= £5.2
For Azda,
= 20 ÷ 5 × £1.35
= £5.4
As if we can see that the tisco cost is lower than the azda cost so here the best value represent the tisco shop
For Babysitting Niki charges a flat fee of $10 plus 15 per hour if we want to know how many hours she work if she gets paid by $80 which equation is helpful
15x-10=85
10+15x=85
85-10x=15
85x-10=15
is 2/8 bigger than 1/2
Answer:
No
Step-by-step explanation:
2/8 is 1/4 when simplified. 1/2 is bigger than 1/4.
an employer pays three workers x,y,z a total amount of 6100 a month. x is paid 125% of the amount y is paid; which represent 80% of the amount z is paid. how much does x receive a month
Answer:
X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.
Step-by-step explanation:
Since an employer pays three workers X, Y and Z a total amount of $ 6100 a month, of which X is paid 125% of the amount Y is paid; which represents 80% of the amount Z is paid, to determine how much does X receive a month the following calculation must be performed:
X = 1.25Y
Y = 0.8Z
Z = Z
Z + Y + X = 6,100
Z + 0.8Z + (1.25 x 0.8Z) = 6,100
Z + 0.8Z + Z = 6,100
2.8Z = 6,100
Z = 6,100 / 2.8
Z = 2,178.57
Y = 0.8 x 2,178.57 = 1,742.85
X = 1,742.85 x 1.25 = 2,178.57
2,178.57 + 2,178.57 + 1,742.85 = X
6,099.99 = X
Thus, X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.
WILL GIVE BRAINLIEST
Answer:
C) 2x10²
Step-by-step explanation:
1400000/7000=
1400/7=
200=
2x10²
zandi pays R19.96 for 4 bars of chocolate how much will she pay for R9 bars
Answer:
it should be 44.91
Step-by-step explanation:
4 bars - 19.96
19.96/4 = 4.99
4.99 = 1 bar of chocolate
4.99*9 = 44.91
The amount that she will pay for 9 bars of chocolate will be R 44.91.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
Zandi pays R19.96 for 4 bars of chocolate. Then the rate of each bar of chocolate is calculated as,
Rate = 19.96 / 4
Rate = R 4.99 per bar of chocolate
The amount that she will pay for 9 bars will be given as,
Amount = 9 x Rate
Amount = 9 x R 4.99
Amount = R 44.91
The amount that she will pay for 9 bars of chocolate will be R 44.91.
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Find the missing angle according to the Triangle Sum Theorem.
Answer:
y=72
Step-by-step explanation:
Hey There!
So the Triangle angle sum theorem states that all of the angles in a triangle add up to equal 180
So all we have to do is subtract the given angles from 180 to find the missing angle
180-59-49=72
Thus y=72
Which fraction is equivalent to 6/8. A.8/9. B.4/6. C.9/12. D.8/10
Answer:
C. 9/12Explanation:
6/8 simplifies to 3/4
3 × 3 = 9
4 × 3 = 12
Since they are both multiples of 3, it's equivalent to 6/8.
Please solve this math question.
Answer:
none of these
Step-by-step explanation:
the side lengths are are 2√5/5, 2, and 4.
sin(x) = opp/hyp
sin(x) = 2/2√5
X ~ N(70, 14). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let ?X be the random variable of sums. Find the 10th percentile. (Round your answer to two decimal places.)
Answer:
The 10th percentile is 66.42.
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 zscore 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 pvalue, 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.
X ~ N(70, 14).
This means that [tex]\mu = 70, \sigma = 14[/tex]
Suppose that you form random samples of 25 from this distribution.
This means that [tex]n = 25, s = \frac{14}{\sqrt{25}} = 2.8[/tex]
Find the 10th percentile.
This is X when Z has a pvalue of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1.28 = \frac{X - 70}{2.8}[/tex]
[tex]X - 70 = -1.28*2.8[/tex]
[tex]X = 66.42[/tex]
The 10th percentile is 66.42.
Jordan went to the grocery store. He bought 8.5 pounds of ham at $2.50 per pound. He also bought 7.5 pounds of turkey at $3.20 per pound. How much more money did he spend on the turkey compared to the ham?
Answer:
how to delete a question can you tell me
Evaluate: 6 + 6 x 23 – 2)
Answer:
=6x23+4
Step-by-step explanation:
6+6x23−2
=6+6x23+−2
Combine Like Terms:
=6+6x23+−2
=(6x23)+(6+−2)
Answer:
12 x 21
Step-by-step explanation:
hope this help -____-
p.s. can u give brainliest???
Identify the constant in the following expression:
6e + 4 + 7g + 5e + 5x - 2e
Answer: 9e
Step-by-step explanation:
What is the equation of the line that passes through the point (-6, -6) and has a
slope of - 1/3
Answer:
The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope of - 1/3
This means that [tex]m = -\frac{1}{3}[/tex]
So
[tex]y = -\frac{1}{3}x + b[/tex]
Through the point (-6, -6)
This means that when [tex]x = -6, y = -6[/tex]. So
[tex]y = -\frac{1}{3}x + b[/tex]
[tex]-6 = -\frac{1}{3}(-6) + b[/tex]
[tex]b + 2 = -6[/tex]
[tex]b = -8[/tex]
The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]
Jason has 5 boxes and 3 cases of soup cans Each box contains 6 cans and each case contains 36 cans How many cans of soup does Jason have altogether?
1. 138
2. 198
3. 288
4. 3,240
In ΔWXY, w = 8.1 inches, x = 2.9 inches and y=5.5 inches. Find the measure of ∠Y to the nearest 10th of a degree.
Using cosine rule, the value of angle Y in the triangle is 21.3 degrees
Cosine RuleThe cosine rule is a mathematical formula used to calculate the length of the sides of a triangle when the angles and one side are known. It states that the square of the length of any side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of those sides multiplied by the cosine of the angle between them.
Mathematically, this is expressed as;
y² = x² + w² - 2xwCos(y)
Data given;
w = 8.1 inx = 2.9 iny = 5.5 in∠Y = ?Substituting the values into the formula above;
y² = x² + w² - 2xwCos(y)
5.5² = 2.9² + 8.1² -2(2.9)(8.1)cosY
30.25 = 8.41 + 65.61 - 46.98cosY
30.25 = 74.02 -46.98cosY
46.98cosY = 74.02 - 30.25
46.98cosY = 43.77
cos Y = 43.77 / 46.98
cos Y = 0.9317
Y = cos⁻¹(0.9317)
Y = 21.3°
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D) y= x - 3/2
HELP ME PLS
Answer:
i think it's A
Step-by-step explanation:
The following information was obtained from independent random samples taken of two populations. Assume normally distributed populations with equal variances. Sample 1 Sample 2 Sample Mean 45 42 Sample Variance 85 90 Sample Size 10 12 The 95% confidence interval for the difference between the two population means is (use rounded standard error) a. -2.65 to 8.65. b. -5.344 to 11.344. c. -5 to 3. d. -4.86 to 10.86.
Answer:
95% Confidence Interval is; ( -5.344 to 11.344 )
Option b) -5.344 to 11.344 is the correct answer
Step-by-step explanation:
Given the data in the question;
Sample 1 Sample 2
x"₁ = 45 x"₂ = 42
S₁² = 85 S₂² = 90
n₁ = 10 n₂ = 12
df = [ S₁²/n₁ + S₂²/n₂ ]² / [ ((S₁²/n₁)²/n₁-1) + ((S₂²/n₂)²/n₂-1)) ]
we substitute
df = [ 10/10 + 90/12 ]² / [ ((85/10)²/10-1) + ((90/12)²/12-1)) ] = 19.64 ≈ 20
df = 20
with 95% confidence interval
∝ = 1 - 0.95 = 0.05
∝/2 = 0.05/2 = 0.025
now, [tex]t_{\alpha /2,df} = t_{0.025, 20} = 2.086[/tex] { from table }
95% confidence interval for N1 - N2
⇒ (x"₁ - x"₂) ± [tex]t_{\alpha /2,df}[/tex] × √( S₁²/n₁ + S₂²/n₂ )
⇒ (45 - 42) ± 2.086 × √( 85/10 + 90/12 )
⇒ 3 ± 2.086 × 4
⇒ 3 ± 8.344
so;
Lower Limit = 3 - 8.344 = -5.344
Upper Limit = 3 + 8.344 = 11.344
Therefore, 95% Confidence Interval is; ( -5.344 to 11.344 )
Option b) -5.344 to 11.344 is the correct answer
6. Use the bar diagram to help you solve the equation 4x - 12 = 16.
Answer:
1. 4x=16+12
2. 4x=28
3. 4x over 4=28 over 4
4. 4 is cancelled by 4 and x will remainder =7
5. x=7
that's it good luck
Solve for w. Only use numbers in your answer.
8w - 15 = 57
w =
Answer:
w = 9
Step-by-step explanation:
1. Add 15 from both sides: 8w = 72
2. Divide my 8: w = 9
Answer:
the answer for this question is 9
A carpenter buys a box containing 0.6 kilogram of nails. Each nail has a mass of 5 grams. How many nail are in the box?
need help with this right now
Answer:
A = (2x+1)(3x+4)
Step-by-step explanation:
Area is length × height
Yaro buys a baseball cap for $9.50. He also buys a new baseball. Yaro speads $13.50 altogether.
Answer:
13.5 = 9.5 + x
x=4
Step-by-step explanation:
In this problem, the price of the baseball cap, which is $9.50, and a baseball, whose price is unknown (and therefore must be the variable), total $13.50. So, to set up the equation add the two prices and set them equal to the total, 9.5+x=13.5.
Then, using the subtraction property of equality subtract 9.5 from both sides. This means x=4, so the baseball cost 4 dollars.
Marge conducted a survey by asking 350 citizens whether they frequent the city public parks. Of the citizens surveyed, 240 responded favorably.
What is the approximate margin of error for each confidence level in this situation?
0.07
0.03
0.04
0.05
0.06
99%
95%
90%
Answer:
The margin of error for a 99% confidence interval is of 0.0639, that is, approximately 0.06.
The margin of error for a 95% confidence interval is of 0.0486, that is, approximately 0.05.
The margin of error for a 90% confidence interval is of 0.0408, that is, approximately 0.04.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
350 citizens, 240 responded favorably:
This means that [tex]n = 350, \pi = \frac{240}{350} = 0.6857[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
[tex]M = 2.575\sqrt{\frac{0.6857*0.3143}{350}} = 0.0639[/tex]
The margin of error for a 99% confidence interval is of 0.0639, that is, approximately 0.06.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
[tex]M = 1.96\sqrt{\frac{0.6857*0.3143}{350}} = 0.0486[/tex]
The margin of error for a 95% confidence interval is of 0.0486, that is, approximately 0.05.
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
[tex]M = 1.645\sqrt{\frac{0.6857*0.3143}{350}} = 0.0408[/tex]
The margin of error for a 90% confidence interval is of 0.0408, that is, approximately 0.04.
Consider the trinomial 6x2 + 13x + 6
The value of b is
Answer: the value of ac is 36
the value of b is 13
the two numbers that have a product of ac and a sum of a and b are 4 and 9
Don't for get to drop a heart
7.) The mean rate for a satellite television from a sample of households was $51.00 per month,
with a standard deviation of $2.00 per month. Between what two values do 75% of the data lie?
(Assume a bell-shaped distribution.) (HINT: Chebychev's Theorem)
Answer: 75% of the rate lies in 47 per month and 55 per month.
Step-by-step explanation:
The mean rate for a satellite television from a sample of households was $51.00 per month, with a standard deviation of $2.00 per month.
According to the Chebychev's Theorem, atleast [tex](1-\dfrac{1}{k^2})[/tex] % of the data lies within k standard deviation from the mean.
For k=2
[tex]1-\dfrac1{2^2}=1-\dfrac14=\dfrac34=0.75\ or \ 75\%[/tex]
Alteast 75% of data lies within 2 standard deviation from mean.
i.e. 51-2(2) per month and 51+2(2) per month
i.e. 47 per month and 55 per month
Hence, 75% of the rate lies in 47 per month and 55 per month.
Write an algebraic phrase for the following expression: d/12
Answer:
I dont know much about algebra but I know,
1 plus 1 equals two ♀️
please help im stuck in this answer pls pls pls help me