Answer: 0.3821
Step-by-step explanation:
Let x be the random variable that represents the wages.
Given: Workers have an average wage of $9.00 per hour with a standard deviation of $0.50.
The probability of obtaining a sample mean less than or equal to $8.85 per hour:
[tex]P(X<8.85)=P(\dfrac{X-mean}{standard\ deviation}<\dfrac{8.85-9.00}{0.50})\\\\=P(Z<-0.3)\\\\=1-P(0.3)\\\\=1-0.6179\\\\=0.3821[/tex]
The required probability = 0.3821
Find the median and mean of the data set below:
10, 43, 20, 11
A college savings account pays 8.2% annual interest compounded semiannually. What is the balance of an account after 12 years if $21,000 was initially deposited?
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Answer:
$55,085.44
Step-by-step explanation:
The formula for the account balance is ...
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years. Using the given values, we find the balance to be ...
A = $21,000(1 +0.082/2)^(2·12) = $21,000(1.041^24) ≈ $55,085.44
The balance is $55,085.44 after 12 years.
2(y - 4) = 4 -2 7 2 6
Answer:
4
Step-by-step explanation:
2(y-4)
=2y-8
2y=8
y=8/2
y=4
Hope it helps ☺️
Need help practice problem please
Answer:
I think there is no solution.
Step-by-step explanation:
Substitute:
Z = -3y-5x+25
X = 3y-2z-13
Put into the last formula:
14(3y-2z-13)-2y+3(-3y-5x+25) = 48
Then:
14(3y-2(-3y-5x+25)-13)-2y+3(-3y-5(3y-2z-13)) = 48
So:
14(3y-2(-3y-5(3y-2z-13)+25)-13)-2y+3(-3y-5(3y-2(-3y-5x+25)-13)) = 48
And so on.
GIVING OUT BRAINLIEST HELP MEEE PLSS!!
Answer:
x=7
Step-by-step explanation:
take 30 degree as reference angle
using sin tan rule
tan 30=opposite/adjacent
[tex]\frac{1}{\sqrt{3} }[/tex]=x/[tex]7\sqrt{3}[/tex]
[tex]\frac{1}{\sqrt{3} }[/tex] *[tex]7\sqrt{3}[/tex]
[tex]7\sqrt{3} /\sqrt{3}[/tex]
7=x
A stadium's normal ticket price is $78. As a special promotion they offer 15% off. What is the price of the discounted
ticket?
Answer:
$66.3
Step-by-step explanation:
price of a ticket without discount = $78
discount % = 15%
discount amount = ?
price of a discounted ticket = ?
discount amount = discount% of price of a original ticket
=15/100 * $78
=$1170/100
=$ 11.7
price of the discounted ticket = $78 - $11.7
=$66.3
The discounted price of the stadium's normal ticket is $66.3
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A stadium's normal ticket price is $78 and As a special promotion they offer 15% off.
Therefore, The discounted price of the ticket should be (100 - 15)% = 85% of the original price which is,
= (85/100)×78.
= $66.3 is the discounted price.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ6
You buy a used car for $9,000. The car depreciates 9% per year. Find the value of the
car after 10 years.
Answer:
$19,000.Step-by-step explanation:
#hopeithelpsbrainliest me.2. The set {0,1,-1} is closed under the operation of?
g(x)=x²+5
.
Find g(a+1)-g(a-1)
Answer:
g(a + 1) - g(a - 1) = 4a
Step-by-step explanation:
g(x) = x^2 + 5,
when x = a+1, g(a+1) = (a+1)^2 + 5.
when x = a-1, g(a-1) = (a-1)^2 +5.
g(a+1)-g(a-1) = (a+1)^2 + 5 - [(a-1)^2 + 5]
= a^2 + 2a + 1 + 5 - [a^2 - 2a + 1 + 5]
= 4a
A triangular prism has a base area of 12 square centimeters, and a height of 15 centimeters. What is the volume?
A journal article reports that 34% of fathers take no responsibility for child care. A group of fathers believes that this estimate is too high. In a random sample of 80 fathers, it was found that 23 of those fathers take no responsibility for child care. Is there significant evidence at the 1% significance level that less than 34% of fathers take no responsibility for child care
Answer:
The p-value of the test is 0.1611>0.01, which means that there is not significant evidence at the 1% significance level that less than 34% of fathers take no responsibility for child care
Step-by-step explanation:
A journal article reports that 34% of fathers take no responsibility for child care. A group of fathers believes that this estimate is too high.
At the null hypothesis, we test if the proportion is of at least 34%, that is:
[tex]H_0: p \geq 0.34[/tex]
At the alternative hypothesis, we test if the proportion is less than that, that is:
[tex]H_1: p < 0.34[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.34 is tested at the null hypothesis:
This means that [tex]\mu = 0.34, \sigma = \sqrt{0.34*0.66}[/tex]
In a random sample of 80 fathers, it was found that 23 of those fathers take no responsibility for child care.
This means that [tex]n = 80, X = \frac{23}{80} = 0.2875[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.2875 - 0.34}{\frac{\sqrt{0.34*0.66}}{\sqrt{80}}}[/tex]
[tex]Z = -0.99[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.2875, which is the p-value of Z = -0.99.
Looking at the Z-table, Z = -0.99 has a p-value of 0.1611.
The p-value of the test is 0.1611>0.01, which means that there is not significant evidence at the 1% significance level that less than 34% of fathers take no responsibility for child care
What is x in 5x +(3-1)=12
Answer:
x=2
Step-by-step explanation:
5x +(3-1) =12
5x +2 =12
5x =12-2
5x =10
x =10÷5
x =2
6hr.40min.?
Or 1hr 10min
Answer:1 hr 10 min
Step-by-step explanation:
express 4B2.1A6 hexadecimal to Octal?
Answer:
2262.0646
Step-by-step explanation:
the answer is 2262.0646
Solve this system of linear equations. Separate
the x- and y-values with a comma.
- 10x + 2y = -28
-13x + 3y = -40
Answer:
[tex] - 10x + 2y = - 28 - - - (a) \\ - 13x + 3y = - 40 - - - (b) \\ 3 \times (a) - 2 \times (b) : \\ - 4x + 0y = - 4 \\ x = 1 \\ ( - 10 \times 1) + 2y = - 28 \\ 2y = - 18 \\ y = -9[/tex]
answer: ( 1, -9 )
what is the row of sum 8192 in Pascal's triangle?
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Answer:
row 13
Step-by-step explanation:
The sum of row n is 2^n, so the row number with a particular sum is ...
2^n = sum
n·log(2) = log(sum)
n = log(sum)/log(2)
The row with sum 8192 is ...
n = log(8192)/log(2) = 13
The row of Pascal's triangle that has a sum of 8192 is row 13.
[tex]\frac{(csc x+1)(csc x-1)}{csc^2x}\\[/tex]
cscθ·cos^2θ+sinθ= cscθ
Step-by-step explanation:
[tex]\frac{( \csc x+1)( \csc x-1)}{ \csc ^2x} = \frac{ { \csc }^{2} x - 1}{ \csc^{2} x} \\ = 1 - \sin^{2} x = \cos^{2} x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
b. Since csc theta = 1/sin theta, we can multiply both sides by sin theta and you will end up with
[tex] \cos^{2} \theta + \sin^{2} \theta = 1[/tex]
which is an identity.
Answer as a fraction. Multiply 5 1/6 and -2/5
Answer: 6666666667
-2.06666666667 to a fraction is : 2 ----------------------
100000000000
Step-by-step explanation:
Have a nice day :)
I need help I’ll give u brainlest
Answer:
4. 18 cm^2
5. 24 cm^2
6. 12 cm^2
SA: 108 cm^2
Step-by-step explanation:
Answer:
Surface area is 108
1. 18
4. 18
2. 12
6. 12
3. 24
5. 24
Step-by-step explanation:
1. 3 x 6 = 18
4. 3 x 6 = 18
2. 4 x 3 = 12
6. 4 x 3 = 12
3. 4 x 6 = 24
5. 4 x 6 = 24
Which line is parallel to the line that passes through the points (1,7) and (-3, 4)?
Answer:
Step-by-step explanation:
i hope you get this helpfull to get answer of this question take the qr code and scan it then you will get the answer
Match the system of linear equations, to its graph.
Answer:
The answer is the second graph, Option 2
How many 1/6 cup servings of. Rice are in 2/3 cup of rice
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Answer:
4
Step-by-step explanation:
2/3 = 4/6
There are four 1/6-cup servings of rice in 4/6 cups of rice.
A school cafeteria wants to survey a random sample of 50 students about the quality of food. During one lunch period, every 5th student who walks through the cafeteria door is surveyed until 50 students are selected. Which of the following statements is true about this sample?
Answer:
B
Step-by-step explanation:
Answer:
B EDGE
Step-by-step explanation:
Find the equation of a line perpendicular to x+5y=−2 that contains the point (3,0).
Perpendicular Definition:
[tex] \large \boxed{m_1m_2 = - 1}[/tex]
Slopes of two different equations multiply each others and must equal to -1. We can also say that the perpendicular occurs only if both equations are negative reciprocal to each others. For example, we are given the equation of y = 2x. The perpendicular to y = 2x would be y = (-1/2)x. See how both are reciprocal to each others.
From the equation below:
[tex] \large{x + 5y = - 2}[/tex]
Since the equation is in the form of Ax+By = C. It is better to use the another slope formula which is:
[tex] \large \boxed{m = - \frac{A}{B} }[/tex]
From the equation above, use the slope formula to find the slope.
[tex] \large{m = - \frac{1}{5} }[/tex]
Therefore the equation has a slope of -1/5. Next to find the perpendicular equation to the original equation. Since our slope is -1/5 - that means the negative reciprocal of -1/5 is 5. Therefore the slope of perpendicular line is 5.
Next we will be using the point-slope form below:
[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]
Given the y1 and x1 or (x1,y1) are the points. Our perpendicular slope is 5 which passes through the point (3,0). Substitute both slope and the point in.
[tex] \large{y - 0 = 5(x - 3)}[/tex]
Simplify in the slope-intercept form as we get:
[tex] \large{y = 5x - 15}[/tex]
Answer
y = 5x-15 is perpendicular to x+5y = -2Hope this helps and let me know if you have any doubts!
In ABC, c=66,m∠A=3230', and m∠C=11140'. Find the length of side a to the nearest tenth.
82 lb to kg round nearest tenth
Answer:
37.194574
Step-by-step explanation:
2. Determine the numbers x between 0 and 2pi where the tangent line to the curve is horizontal.
Need help ASAP
Assuming the curve is
y = cos(x) - √3 sin(x)
differentiate once to get dy/dx, which gives the slope of the tangent line to y at some point x. The derivative is
dy/dx = -sin(x) - √3 cos(x)
The tangent line is horizontal when the derivative is 0, so you end up having to solve
-sin(x) - √3 cos(x) = 0
sin(x) = -√3 cos(x)
sin(x)/cos(x) = tan(x) = -√3
x = arctan(-√3) + nπ
(where n is an integer)
x = -arctan(√3) + nπ
x = -π/3 + nπ
You get two solutions in the interval [0, 2π] when n = 1 and n = 2, for which
x = 2π/3 or x = 5π/3
The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident that the sample mean is within 1 inch of the true population mean, what is the minimum sample size that can be taken?
Answer:
15 dog heights; [tex]n=15[/tex]
Step-by-step explanation:
The formula to be used here is [tex]MOE_\gamma=z_\gamma*\sqrt{\frac{\sigma}{n} }[/tex] where:
[tex]\gamma[/tex] is the confidence level[tex]MOE_\gamma[/tex] is the margin of error for a confidence level[tex]z_\gamma[/tex] is the critical value for the confidence level[tex]\sigma[/tex] is the population standard deviation[tex]n[/tex] is the sample sizeWe are given that:
[tex]\gamma=0.95[/tex][tex]MOE_\gamma=1[/tex][tex]z_\gamma=invNorm(0.975,0,1)=1.96[/tex][tex]\sigma=3.7[/tex]To determine the minimum sample size, [tex]n[/tex], we plug our given values into the formula and solve for
[tex]MOE_\gamma=z_\gamma*\sqrt{\frac{\sigma}{n} }[/tex]
[tex]1=1.96\sqrt{\frac{3.7}{n} }[/tex]
[tex]\frac{1}{1.96}=\sqrt{\frac{3.7}{n} }[/tex]
[tex](\frac{1}{1.96}) ^{2}=\frac{3.7}{n}[/tex]
[tex]n=\frac{3.7}{(\frac{1}{1.96})^{2} }[/tex]
[tex]n=14.21392[/tex]
Don't forget to round up here! This means that [tex]n=15[/tex] actually.
Therefore, if we want to be 95% confident that the sample mean is within 1 inch of the true population mean, the minimum sample size that can be taken is 15 dog heights.
Please mark brainliest if you found my answer and explanation helpful!
What would be the correct answer for this
Answer:
The answer is B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
0.99218
When do creative people get their best ideas? USA Today did a survey of 966 inventors (who hold U.S. patents) and obtained the following information.
Time of Day When Best Ideas Occur
Time Number of Inventors
6 A.M.-12 noon
12 noon-6 P.M.
6 P.M.-12 midnight
12 midnight-6 A.M. 295
138
311
222
Assuming that the time interval includes the left limit and all the times up to but not including the right limit, estimate the probability that an inventor has a best idea during each time interval: from 6 A.M. to 12 noon, from 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A.M. (Enter your answers to 3 decimal places.)
6AM-12PM 12PM-6PM 6PM-12AM 12AM-6AM
Answer:
[tex]P(6am-12\ noon) = 0.305[/tex]
[tex]P(12\ noon - 6pm) = 0.143[/tex]
[tex]P(6pm-12\ midnight) = 0.322[/tex]
[tex]P(12\ midnight - 6am) =0.230[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Time} & {Inventors} & {6am - 12\ noon} & {295} & {12\ noon -6pm} & {138} & {6pm - 12\ midnight} & {311} & {12\ midnight - 6am} & {222} & {Total} & {966} \ \end{array}[/tex]
Required
The probability of each time interval
To do this, we simply divide the number of inventors in the interval by the total inventors (966)
So, we have:
[tex]P(6am-12\ noon) = \frac{6am-12\ noon}{Total}[/tex]
[tex]P(6am-12\ noon) = \frac{295}{966}[/tex]
[tex]P(6am-12\ noon) = 0.305[/tex]
[tex]P(12\ noon - 6pm) = \frac{12\ noon - 6pm}{Total}[/tex]
[tex]P(12\ noon - 6pm) = \frac{138}{966}[/tex]
[tex]P(12\ noon - 6pm) = 0.143[/tex]
[tex]P(6pm-12\ midnight) = \frac{6pm-12\ midnight}{Total}[/tex]
[tex]P(6pm-12\ midnight) = \frac{311}{966}[/tex]
[tex]P(6pm-12\ midnight) = 0.322[/tex]
[tex]P(12\ midnight - 6am) =\frac{12\ midnight - 6am}{Total}[/tex]
[tex]P(12\ midnight - 6am) =\frac{222}{966}[/tex]
[tex]P(12\ midnight - 6am) =0.230[/tex]
