Answer:
P(X ≥ 3) = 0.94538
Step-by-step explanation:
When flipping a coin, probability of getting a tail is p= 0.5.
Number of times flipped; n = 10
Now, this is a binomial probability distribution problem with the formula;
P(X = x) = C(n, r) × p^(x) × (1 - p)^(n - x)
Probability of getting at least 3 tails is;
P(X ≥ 3) = P(3) + P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10)
P(3) = C(10, 3) × 0.5³ × (1 - 0.5)^(10 - 3)
P(3) = 0.1172
P(4) = C(10, 4) × 0.5⁴ × (1 - 0.5)^(10 - 4)
P(4) = 0.2051
From online binomial probability calculator, we have the remaining as;
P(5) = 0.2461
P(6) = 0.2051
P(7) = 0.1172
P(8) = 0.0439
P(9) = 0.0098
P(10) = 0.00098
Thus;
P(X ≥ 3) = 0.1172 + 0.2051 + 0.2461 + 0.2051 + 0.1172 + 0.0439 + 0.0098 + 0.00098
P(X ≥ 3) = 0.94538
The proportion of observations from a standard Normal distribution that take values larger than -0.75 is about A) 0.2266 B) 0.7704 C) 0.7734 D) 0.7764 E) 0.8023
Answer:
Option C: 0.7734
Step-by-step explanation:
From z-distribution table attached,
P(Z ≤ -0.75) = 0.2266
However, we are looking for proportion of observations from a standard Normal distribution that take values larger than -0.75.
Thus;
P(Z > -0.75) = P(Z ≤ 0.75) = 1 - 0.2266
P(Z > -0.75) = 0.7734
Option C is the correct answer.
In a group of 20 students, there are 7 boys. What is the ratio of girls to boys?
Answer: percent is 0.53%
The ratio is 7 to 13 so you just divide 7/13
Step-by-step explanation:
This graph shows linear
y = f(x) and y = g(x).
Find the solution to the equation f(x) - g(x) = 0
Step-by-step explanation:
This graph shows linear
y = f(x) and y = g(x).
Find the solution to the equation f(x) - g(x) = 0
Make w the subject of the formula y - aw = 2w - 1
Answer:
[tex]w=\frac{y+1}{a-2} (a\neq 2)[/tex]
Step-by-step explanation:
[tex]y - aw=2w-1\\y-aw-2w=-1\\-aw-2w=-1-y\\-w(a-2)=-(y+1)\\w(a-2)=y+1\\w=\frac{y+1}{a-2} (a\neq 2)[/tex]
Hope this helps!
Helllppppppp. A wheelbarrow has a wheel with a diameter of 10 in. What is the distance, in
inches, that the wheelbarrow moves after 16 full rotations of the wheel?
Answer:
160 in.
Step-by-step explanation:
10 * 16 = 160
Which best describes the error in solving the system of linear equations?
Only the x-value is given.
The wrong value for x is given.
The blue line is graphed incorrectly.
The red line is graphed incorrectly.
Answer:
a. Only the x-value is given.
Step-by-step explanation:
Taking a look at the graph of both equations, both equations are graphed correctly, because the slope (m) and y-intercept (b) values corresponds of each equation corresponds with what we have on the graph representing each equation.
The solution of two linear equations ought to be in a coordinate pair, (x, y). This means the x-value and it's correaponding y-value of the solution needs to be stated, not just the x-value.
Thus, the correct solution. Of the two linear equations are x = 4, when y = 3.
Solution in coordinate pair form is (4, 3).
Therefore, the statement that describes the error is:
a. Only the x-value is given.
Missy wants to find the surface area of a snack box in her pantry her work is shown below
Answer:
Step 2: Missy did not multiply the area of each face by 2 before adding.
Step-by-step explanation:
I took the test :)
Estimate the:
length of a pen
length of a swimming pool
length of a marathon race
5.2 inches 13.12 cm
length of a swimming pool:50m
length of a marathon race:42.195 kilometers
hope this answers your question!In a sample of 80 light bulbs, the mean lifetime was 1217 hours with a standard deviation of 52 hours. a. Find the 95% confidence interval for the mean lifetime of this type of bulb. Justify the reason you chose the distribution used to construct the confidence interval. b. How many light bulbs must be sampled so that a 95% confidence interval will specify the mean lifetime to within + 8 hours?
Complete Question
In a sample of 80 light bulbs, the mean lifetime was 1217 hours with a standard deviation of 52 hours. a. Find the 95% confidence interval for the mean lifetime of this type of bulb. Justify the reason you chose the distribution used to construct the confidence interval. b. How many light bulbs must be sampled so that a 95% confidence interval will specify the mean lifetime to within [tex]\pm 8 \ hours[/tex]?
Answer:
a
[tex]1206 < \mu < 1228 [/tex]
The reason why a normal distribution was chosen is because the sample size is large enough that is [tex]n > 30[/tex]
b
[tex]n =162 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 80
The sample mean is [tex]\= x = 1217[/tex]
The standard deviation is [tex]\sigma = 52[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{ 52}{\sqrt{80} }[/tex]
=> [tex]E = 11.395 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]1217 -11.395 < \mu < 1217 + 11.395[/tex]
=> [tex]1206 < \mu < 1228 [/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
Here E = 8
=> [tex]n = [\frac{1.96 * 52 }{8} ] ^2[/tex]
=> [tex]n =162 [/tex]
Earl runs 60 meters in 40 seconds. How many meters per second does Earl run?
Earl runs 1.5 meters per second.................
which two triangles are congruent? complete the congruence statement.
HELP ME ASAP!
What is the result when the number 44 is decreased by 75%?
Answer:
11
Step-by-step explanation:
increase 120 by 5% (answer)
Answer:
what is question is this the question
Answer:
126
Step-by-step explanation:
[tex]\frac{5}{100}[/tex] × 120 = 6
120+6= 126
Two-thirds of the fruit in a basket are apples. One-fourth of the apples are green apples. What fraction of the fruit in the basket are green apples?
Answer:
1/6
Step-by-step explanation:
2/3*1/4
=2/12
=1/6
PLS GIVE BRAINLIEST
which term of the series 2187,729,243...is 1/9
Answer:
Step-by-step explanation:
Givens
a = 2187
r = 1/3
L = 1/9
what is n
Formula
L = a*r^(n-1)
1/9 = 2187 * (1/3)^(n-1)
1/(9 * 2187) = (1/3)^(n - 1)
1/19683 = (1/3)^(n - 1)
=================
You need to break 19683 down into its prime factors.
19683 = 3* 729
19683 = 3 * 3 * 243
19683 = 3 * 3 * 3 * 81
81 = 3^4 so there are 4 more threes in the breakdown.
19683 = 3 * 3 * 3 * 3 * 3 * 3 * 3
1/19683 = 1/(3)^(7-1)
1/9 is the 6th term in the series.
During the winter months, heating bills can be expensive. A contractor claims that installing a new brand of insulation will considerably lower your heating bill (which was $205 last month). After conducting the test (assuming the data were provided). you find that the results are significant at the 5% level. You may also conclude: __________.a. the test would also be significant at the 10% level. b. the test would also be significant at the 1% level. c. both of the above. d. none of the above.
Answer:
The correct option is a
Step-by-step explanation:
Generally the null hypothesis is rejected (that the result is significant ) when the p-value is less that the the level of significance
Now from the question when the the level of significance was 5% the p-value was less than the level of significance so also when the level of significance is 10% the p-value will be less than the level of significance hence null hypothesis will also be rejected at this level(that is the result will also be significant at the level of significance )
4n-(7-6n)
Helppp plz
What is an equation for the line that passes through the points (-2, 3) and (2, 1)
what function best models the data and what wil be the chicken breast after 50 miutes
Answer:
Students use linear, quadratic, and exponential functions to model data from tables and choose the regression
most appropriate to a given context. They use the correlation coefficient to determine the accuracy of a
regression model and then interpret the function in context. They then make predictions based on their model
and use an appropriate level of precision for reporting results and solutions.
Lesson 7 focuses on data sets that cannot be modeled accurately, and students are asked
to articulate why. Students use skills learned in Lesson 14 of Module 2 (where they used
calculators to write linear regressions) and apply similar techniques for data sets that are
better suited to modeling with quadratic or exponential regressions. Students use that
same technique to find linear regressions and use their graphing calculators to examine
the correlation coefficient and to find quadratic and exponential regressions. They
compare correlation coefficients to determine which model is best for the data.
Ultimately, students choose the regression model (linear, quadratic, or exponential) most
appropriate to a given data set and then write, verify, and interpret these models in
context. Students need a graphing calculator to complete this lesson. Graphing calculator
instructions are provided, but steps may vary slightly depending on the model of the
graphing calculator.
Refer to the following full modeling cycle during this lesson (Found on page 61 of the CCLS
and page 72 of the CCSSM).
Scaffolding:
Students are more
engaged when working
with relevant and real data
that interests them.
Websites that provide
data sets are a good
resource for classroom
investigations.
This lesson might need to
be divided into two days if
students need more time
to master the technology.
Step-by-step explanation:
6. a) Round 50.24 to the nearest whole number. Draw a number line to show your thinking.
Answer:
50
I've attached the drawing of my number line to show my thinking. Download to turn it in if you need to.
Have a beautiful day, and stay safe.
Pls help ASAP WILL GIVE BRAINEST :/
Step-by-step explanation:
b=1 the person above or below me has the explanation
HELP ASAP PLZZZZ, I’m begging!
Answer:
I think it's B
Step-by-step explanation:
I believe the answer is C
Solve each equation. y + 20 = 7
Answer:
I Meant y = -13
Step-by-step explanation:
Answer:
y= -13
Step-by-step explanation:
-13 plus 20 is 7
plug the -13 in where the y is and do the equation
-13+20=7
Quick answer please!!!! Brodie hires a technician to fix his air conditioning unit. The total cost includes $26.50 for parts and $50.00 per hour the technician works on the job. Which equation can be used to find y, the total cost Brodie pays, given x represents the number of hours the technician works on the job? y=26.50x−50 y = 26.50x + 50 y = 50x + 26.50 y=26.50(x+50)
Answer:
y = 50x + 26.50
Step-by-step explanation:
we put the x after 50 be cause we don't know how many hours he worked
then add 26.50 the cost of the parts.
Hoped this helped.
Answer:
C: y=50x+26.50
Step-by-step explanation:
I just took the test and i got it right!!! 100%
do i get brainlest
I need help plz!!!!!! Will give 100 points.
Point-Slope Form: y - 5 = 3(x - 1)
Standard Form: ???? HELP
WHATS A FUTURE FUNKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
500,325+6,773,500,135
Answer: future the time or a period of time following the moment of speaking or writing; time regarded as still to come.
Step-by-step explanation:
Help me with this please
Answer:
101.5m left to use after the big top goes up.
Step-by-step explanation:
18*10=180 [tex]\pi[/tex]r[tex]x^{2}[/tex]= 3.14*5^{2}=3.14*25=78.5
180-78.5= 101.5m
A triangle has angles of 30° 60° and 90° It is dilated by a scale factor of three give the angle measures of the dilation of the triangle
The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
Scale factor gives either a small or big similar image of a triangle, for example, if we have a triangle with vertices 2,4,6 and it is scaled by 1/2 then the resultant dimension will 1,2,3 but angles still remain the same.
Hence "The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°".
To learn more about scale factors,
brainly.com/question/22312172
#SPJ1
hellpppppp please I will give brainliest
Answer:
I think the answer is y=2x-2
Hope it is correct! The x is positive because the angle is pointing to the right, and the -2 came from the position of the line.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Help plzzzz will give brainliest
Answer:
It's positive.
Step-by-step explanation:
There are many reasons.... but one of the obvious ones is that it would've shown negative, correct?