Answer:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Step-by-step explanation:
For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A certain performer has an independent .04 probability of a crash in each race.
This means that [tex]p = 0.04[/tex]
a) What is the probability she will have her first crash within the first 30 races she runs this season
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
When [tex]n = 30[/tex]
We have that:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061[/tex]
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Find the distance between the given points. Round to the nearest tenth. 2,2 and -1,4
Answer:
2
Step-by-step explanation:
Consider the following number line:
B
C
A+
11
=>
1
0
Drag the following cards to match each point to its value.
Point Value
А
1
5
B
0.8
3
5
Answer:
The pink A goes to the Green C on the number line. the green C goes to the pink A on the number line. The Blue B goes to the Blue B in the number line.
Step-by-step explanation:
hope it helped ;)
the total cost of. $220 meal with 25% tip.
Answer:
275
Step-by-step explanation:
Answer:
Total Cost = $275
Step-by-step explanation:
25% = 0.25
Multiply $220 by 0.25 to get 25% of $220.
0.25 × $220 = $55
Now add $220 and $55 to get the total cost.
$220 + $55 = $275
Andrew has $550 in a savings account that earns 5 % annually. How much will he earn in interest in 4 years?
Use the formula = , where is the interest earned, is the principal (starting amount), is the interest rate expressed as a decimal, and is the time in years.
$110
Step-by-step explanation:
formula= P×T×R ÷ 100
550×4×5÷100
55×4×5÷10
1100÷10
$110
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
A scale of 3
Step-by-step explanation:
dd2d2de2f3f
on the first one shows you how to solve it then second one is the problem just tell me the answer pls have a good day bye
Answer:
1/2 + 10/12. = 1/2 × 6/6 =6/12. 6/12 + 10/12 =16/12. 16/12 = 1 4/12 = 1 1/3
Find the percent of change. Round to the nearest tenth of a percent if necessary.
1/4 to 1/2
9514 1404 393
Answer:
100%
Step-by-step explanation:
The percentage change can be computed from ...
pct change = ((new value)/(old value) -1) × 100%
= ((1/2)/(1/4) -1) × 100%
= (2 -1) × 100%
= 100%
The increase by 1/4 from 1/4 to 1/2 is an increase of 100%.
The lengths of nails produced in a factory are normally distributed with a mean of 4.95 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separate the top 5% and the bottom 5%. These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary.
Answer:
The length that separates the bottom 5% is of 4.87 centimeters.
The length that separates the top 5% is of 5.03 centimeters.
Step-by-step explanation:
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 4.95 centimeters and a standard deviation of 0.05 centimeters.
This means that [tex]\mu = 4.95, \sigma = 0.05[/tex]
Bottom 5%:
The 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 4.95}{0.05}[/tex]
[tex]X - 4.95 = -1.645*0.05[/tex]
[tex]X = 4.87[/tex]
The length that separates the bottom 5% is of 4.87 centimeters.
Top 5%:
The 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 4.95}{0.05}[/tex]
[tex]X - 4.95 = 1.645*0.05[/tex]
[tex]X = 5.03[/tex]
The length that separates the top 5% is of 5.03 centimeters.
The list shows the number of pages in various novels: 286,295,307,241,396,368 what is the range
Answer:
155
Step-by-step explanation:
You must first subtract the lowest number (241) from the highest number (396) Then you get 155! I hope this helps!
The LCM of 5 and 6 is ______. Numerical Answers Expected!
Answer:
30
Step-by-step explanation:
Answer:
30.
Step-by-step explanation:
2 x 3 x 5 = 30
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.14 gallons. A previous study found that for an average family the variance is 1.69 gallons and the mean is 15.9 gallons per day. If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.
Answer:
A sample of 179 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
A previous study found that for an average family the variance is 1.69 gallon?
This means that [tex]\sigma = \sqrt{1.69} = 1.3[/tex]
If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?
A sample of n is needed, and n is found for M = 0.14. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.14 = 1.44\frac{1.3}{\sqrt{n}}[/tex]
[tex]0.14\sqrt{n} = 1.44*1.3[/tex]
[tex]\sqrt{n} = \frac{1.44*1.3}{0.14}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2[/tex]
[tex]n = 178.8[/tex]
Rounding up
A sample of 179 is needed.
Sylvia uses 1 over 4 cup of butter for each batch of cookies she makes. Which expression shows how many cups of butter Sylvia needs for left parenthesis x right parenthesis number of batches of cookies?
Answer:
4(1/4 x)
Step-by-step explanation:
I had this question.
Help with number two please:)
5. During the day a person consumes 360 calories from fruit. How many calories does this person consume in their daily diet? *
PLEASE HELP
A. 1,600
B. 2,300
C. 2,400
D. 2,600
Answer:
I believe that it is C.
Step-by-step explanation:
360x0.15 = 24, 15% is from the given chart...
I am not 100% sure, but I do think that this is right.
The solution is : The weight of an individual who consumes 1,370 calories per day is 137 pound.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Given:
1,050 calories should be consumed daily for a 105-pound person.
Now, to get the weight of an individual who consumes 1,370 calories per day.
If 1,050 calories should be consumed per day for = 105-pound person.
So, 1 calorie should be consumed per day for =105/1050
=1/10
Then, 1,370 calories consumed per day for weight of =1370/10
= 137 pounds
Therefore, the weight of an individual who consumes 1,370 calories per day is 137 pound.
To learn more on division click:
brainly.com/question/21416852
#SPJ2
complete question:
The number of calories needed in a daily diet varies directly as the weight of an individual. If 1,050 calories should be consumed daily for a 105-pound person, what is the weight of an individual who consumes 1,370 calories per day?
Maria is 4 ft 2in tall. To find the height of a flagpole, she measured her shadow and the pole's shadow . What is the height h of the flagpole?
Answer:
25 ft
Step-by-step explanation:
The height of the flagpole, using trigonometric ratio is 25feet.
The tangent of angle C will be the ratio of Maria's height to her shadow.
What is the tangent of an angle?The tangent of an angle is the ratio of opposite side to the adjacent side.
It is given that,
Her height = 4 ft 2 inch = 25/6 feet
Length of her shadow =10/3 feet
So, tan C = (25/6)/(10/3)
tan C = 5/4
We know that ∠C and ∠T will be equal
So, tan C = tan T = h/20
5/4 = h/20
h =25
Therefore, The height of the flagpole, using is 25feet.
To get more about trigonometric ratios visit:
https://brainly.com/question/24349828
someone please help me answer this!!
Answer:
100 in is the answer.
Step-by-step explanation:
a = 60 in
b = 80 in
c = ?
According to the Pythagorean theorem,
a² + b² = c²
60² + 80² = c²
3600 + 6400 = c²
c² = 10000
c = 100 in
∴ the distance between the opposite corners of the bed is 100 in
How many ways can you arrange the letters in the word MARBLE if the letters B and L have to
stay together?
Answer:
I thought of 10
Step-by-step explanation:
Ambler, blamer, ramble, amble, blame, abler, blare, blear, blam, blae
The parallelogram shown below had an area of 60 units2. Find the missing base.
Answer:
I can't find the missing parallelogram, let alone the base.
Step-by-step explanation:
A picture of Margo's garden is shown below. It is made of 2 rectangular prisms. She wants to fill it with dirt. She needs to find the volume of the garden to know how much dirt to buy.
9 cubic feet
10 cubic feet
98 cubic feet
107 cubic feet
Answer:
9 cubic feet
Step-by-step explanation: You multiply them all then divide 9 by the greatest number that fits in 107geometry multiple choice
(will mark brainliest)
Answer:
The opposite angles of a quadrilateral inscribed in a circle are supplementary.
Step-by-step explanation:
Geometry Fact: the opposite angles in a quadrilateral inscribed in a circle are supplementary (i.e., the sum of the opposite angles is equal to 180˚.).
Complete the equation so that it represents the proportional relationship
shown in the table.
Six children want to share five chocolate bars fairly. How much chocolate will each child get?
Answer:
0.8 of a chocolate bar
Step-by-step explanation:
Bc 5 divided by 6 is 0.8
WILL MARK BRAINLIST!!
simplify: 3/4 × 2x/5
Answer:
(3/10)x or if you didn’t undertsand that
[tex]\frac{3}{10}x\\[/tex]
Step-by-step explanation:
So multiplynormally, if theres an x in the numerator or denominator , it doesn’t matter since the variable is going to end up in the middle. Multiply it normally, simplify and then you would have (3/10)x
6×squared plus 15×plus 4×
Answer:
56
Step-by-step explanation:
6^2 = 36
36 + 15 = 51
51 + 4 = 56
P=(L+B), then B=_____?
Answer:
P = L+B
B = P-LHope it helps
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 12 feet in length. How many 9-inch pieces can the dressmaker cut from 5 of these rolls of ribbon?
Answer:
She can cut 6 nine inch pieces.
Step-by-step explanation:
12x5=60 and 9 goes into 60 6 times which equals 54.
Step-by-step explanation:
i can't help you because that i am no a unit test i am so sorry for not help you
What is the surface area of the figure below? Round your answer to the nearest tenth square unit.
Answer: 297 i believe i am a little rusty at this
6x+2+11x+8=180 what's the value of x?
Answer:
x=10
Step-by-step explanation:
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
<5,2>
Step-by-step explanation:
Bill launched a model rocket, and estimated its height h, in feet, after 1 seconds. His results are shown in the table.
Time to 1 2 3 4
Height, h 0 110 190 240 255
Bill's data can be modeled by the function h(t) = -16t2 + 128t.
Which value is the best prediction for the height of the rocket after 5.5 seconds?
A. 150 ft
B. 180 ft
C. 220 ft
D. 250 ft
E 260 ft
Answer:
22ft
Step-by-step explanation:
Given the height of Bills modeled by the function h(t) = -16t^2 + 128t.
To get his height after 5.5secs, we will replace t with 5.5 a shown;
h(t) = -16t^2 + 128t.
h(5.5) = -16(5.5)^2 + 128(5.5)
h(5.5) = =-484+704
h(5.5) = 220ft
Hence his height after 5.5secs is 22ft