Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 55 and 63? Round your
answer to the nearest tenth of a percent.
A. 55.9%
B. 53.9%
C. 56.9%
D. 54.9%
Answers
Answer: 55.9% appex
Step-by-step explanation:
The probability that a data value is between 55 and 63 is 54.7%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
We can use the standard normal distribution to solve this problem by standardizing the values of 55 and 63:
z1 = (55 - 62) / 4 = -1.75
z2 = (63 - 62) / 4 = 0.25
Using a standard normal distribution table (or a calculator), we can find the area under the curve between z1 and z2:
P(-1.75 < z < 0.25) = 0.5466
Rounding to the nearest tenth of a percent, we get:
0.5466 ≈ 54.7%
Therefore,
The probability that a data value is between 55 and 63 is 54.7%.
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Related Questions
Help
What are the chances of choosing a black marker out of a bag containing 3 red markers, 5 blue markers, 3 yellow markers, and 4 black markers?
Answers
Answer: 16/225
Step-by-step explanation:
i did the math
3 red + 5 blue + 3 yellow + 4 black
= 15 markers
And there’s 4 black markers so it would be a 4 (number of items) over the total amount (15)
Use the spinner to find the theoretical probability of the event.
The theoretical probability of spinning a 1 is
Answers
Answer:
3/8
Step-by-step explanation:
There are 8 options, are 3 of them are ones. This means there is a 3 in 8, or 3/8 chance of spinning a one.
ONLY FOR safaargoum
What is 2x+3y=4
Answers
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
A regular polygon is shown with one of its angle measures labeled a. If m∠a = (2z + 64)°, find the value of z.
Answers
Answer:
the sum of all the angles of the polygon is 180°
Then,
(2z+64)° = 180°
2z = 180° - 64°
2z = 116°
z = 116 / 2
= 58° (ans)
Answer:
58
Step-by-step explanation:
i got it right on my test
hope this helps!!!
PLEASE HELP I WILL GIVE BRAINLYEST
Explain if you agree or disagree with Blake's claim..
Answers
Ok i have thought about this and
no.
CAN SOMEONE PLEASE HELP ME GIVING BANILYEST
Answers
Answer:
2. (8,6).
3. Look for school and go down five and 2 to the right for new location.
4. (5,7)
5. (6,20)
6. Unreadable sorry
Step-by-step explanation:
the question is: examine the triangle shown below. set up and equation and solve it to find the value of x. you must show your equation step by step.
Answers
Answer:
x=20 degrees
2x-7+6x+7+20=180
Step-by-step explanation:
the total degrees of a triangle is 180
Use the graph to answer the question.
Graph of polygon ABCDE with vertices at negative 3 comma 3, negative 3 comma 6, 1 comma 6, 1 comma 3, negative 1 comma 1. A second polygon A prime B prime C prime D prime E prime with vertices at negative 5 comma 3, negative 5 comma 6, negative 9 comma 6, negative 9 comma 3, negative 7 comma 1.
Determine the line of reflection.
Reflection across x = −4
Reflection across y = 1
Reflection across the x-axis
Reflection across the y-axis
Answers
Answer:
The line of reflection is x = 4, since the line x = 4 divides the original polygon and its image into congruent halves.
Step-by-step explanation:
ABCDE polygon graph with vertices at bottom 1 comma 6, 1 comma 3, negative 1 comma 1, 3 commas, 3 commas, and 1 comma. cross-axis reflection.
A polygonal shape is what?A polygon is a two-dimensional, closed structure that is flat or planar and has straight sides. It lacks crinkled sides. The edges of a polygon are also referred to as its sides.
Describe polygons with an example.Any two-dimensional form that can be made entirely of straight lines is referred to be a polygon. Polygons include forms like triangles, hexagons, pentagons, and quadrilaterals. The name of the shape has a side count indication.
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HELP PLS PLS PLS USE THE PICTURE BELOW TO SOLVE!!!!!!!!
A. x ≥ -4
B. All real numbers
C. x ≥ -3
D. -10 ≤ x ≤ 10
Answers
Answer: B. All real numbers
Answer:
Step-by-step explanation
b
How many times does 15 go int 135? who ever gets it right gets 500 points
Answers
Answer:
9 times
Step-by-step explanation:
The number 15 multiplied to the number 9 which gives the value 135.
To find the that how many 15 is to get 135, division should be performed.
So, dividing 135 by 15 gives:
= 135 ÷ 15
15 | 135 | 9
135
_______
0
Thus, the quotient is 9.
Therefore, 15 goes into 135 exactly 9 times.
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What is the product?
(negative 3 s + 2 t)(4 s minus t)
negative 12 s squared minus 2 t squared
negative 12 s squared + 2 t squared
negative 12 s squared + 8 s t minus 2 t squared
negative 12 s squared + 11 s t minus 2 t squared
Answers
Answer:
\( \boxed{- 12 {s}^{2} + 11st - 2 {t}^{2} } \)
Step-by-step explanation:
\( = > ( - 3s + 2t)(4s - t) \\ \\ = > - 3s(4s - t) + 2t(4s - t) \\ \\ = > ( ( - 3s) \times 4s )- (( - 3s) \times t) + (2t \times 4s) - (2t \times t) \\ \\ = > - 12 {s}^{2} - ( - 3st) + 8st - 2 {t}^{2} \\ \\ = > -12 {s}^{2} + 3st + 8st - 2 {t}^{2} \\ \\ = > - 12 {s}^{2} + 11st - 2 {t}^{2} \)
Which linear function has the greatest y-intercept?
Answers
Answer:a
Step-by-step explanation:
it crosses at 2 on the y plane where as b crosses at-3
What is the solution to this equation?
−1/5(x+1 3/4)=−2 1/
2
Responses
x=21 1/4
x equals 21 and 1 over 4
x=14 1/4
x equals 14 and 1 over 4
x=10 3/4
x equals 10 and 3 over 4
x=3 3/4
I WILL GIVE BRAINLYEST
Answers
Answer:
10 3/4
Step-by-step explanation:
\(x + \frac{7}{4} = - \frac{5}{2} \times - \frac{5}{1} \\ x = \frac{25}{2} - \frac{7}{4} \\ x = \frac{43}{4} \\ x = 10 + \frac{3}{4} \)
The school is considering holding a 5K fundraising walk on the school grounds. Your class is supposed to design the course for the walk. 1) Come up with two methods to measure the 5k course
Answers
Answer:
i think we should create an entire death run course and who ever makes it to the end gets the $5,000
Answer: Do you have a picture attached to this?
Step-by-step explanation: thank you
hurry please help dont know what im doin
Answers
y = x + 3
Plshelp itsmathim gonnafaillll pls help
Answers
How can I find the cube root of 64?
Answers
Answer:
4
Step-by-step explanation:
The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.
The cube root of 64 is 4.
Before solving the question, let's understand the concept of cube root.
The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.
The cube root is denoted by ∛
Now, we will find the cube root of 64.
Firstly, we have to find factor 64.
64 = 2 × 2 × 2 × 2 × 2 × 2.
64 = ∛4³
64 = 4
Therefore, the cube root of 64 is 4.
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A bag contains 3 red marbles, 5 blue marbles, and 4 black marbles. Jenna draws a black marble and does not replace it. What is the probability of drawing a black marble next?
A. 1/3
B. 1/4
C. 3/11
D. 4/11
Answers
Answer:
c: 3/11
Step-by-step explanation:
the first one is 4/12 which is 4 black and 12 total. the next one is 3/11 because there's 3 blacks and 11 total
Answer:
c
Step-by-step explanation:
PLZ HELP ME
What linear equation is represented by the table?
y=2x
y=4x
y=2x-3
y=4x -3
Answers
Write the set of integers in order from least to greatest. 23, 14, -14, -5, 6, -2
Answers
Answer:
-14,-5,-2,6,14,23
Let me know if this helped :)
Yasin has tried to work the size of the angle marked g in the regular decagon below, using the fact that exterior angles sum to 360°. His workings are shown below.
a) Write a sentence to explain what Yasin has done wrong.
b) What is the size of angle g? Show all your workings.
Answers
well, Yasin is correct, the exterior angles are all 36° each, however "g" is including more than just that, Check the picture below.
Answer: 36 is wrong
Step-by-step explanation: 360 - 36 = 324 degrees
Which graph shows the solution set for Negative 4.4 greater-than-or-equal-to 1.6 x minus 3.6?
A number line going from negative 3 to positive 3. A closed circle is at negative 0.5. Everything to the left of the circle is shaded.
A number line going from negative 3 to positive 3. A closed circle is at negative 0.5. Everything to the right of the circle is shaded.
A number line going from negative 7 to negative 1. A closed circle is at negative 5. Everything to the left of the circle is shaded.
A number line going from negative 7 to negative 1. A closed circle is at negative 5. Everything to the right of the circle is shaded.
Explain and will give the brainlest
Answers
Answer:
The last one
Step-by-step explanation:
I already did this ;)
Answer:
The bottom one
Step-by-step explanation:
In a grocery store delivery of 140 apples, 35% of the apples were red. How many apples were red?
Answers
Answer:
49
Step-by-step explanation:
because I'm big brain
Answer:
therefore 49 apples where red and 91 unknown
Graph the equation using the slope and y-intercept.
Answers
Answer:
well i cant graph it but ill tell u how ok- so the slope would me 2/3
slope is anything before x ok?
and y is -3
cause y is the other number in slope int form
so u would -on the y axix- go down to -3 and go up 2 right 3 up two right three- all from -3 tho
if u dont get what i just said tell me ill explain better xddd
Step-by-step explanation:
Answer:
Step-by-step explanation:
The slope is \(\frac{2}{3}\) and the y-intercept is ( - 3 )
i need helpp i have 4 minutes ( ill give brainllist)
Answers
The Kirkland family is buying a new living room set that costs $1,495.
They are going to put a down payment of $400 and then put the rest on
their credit card that has an annual interest rate of 28%. If they pay off
the furniture in 1 year, how much interest would they pay?
Answers
======================================================
Explanation:
The down payment is $400, so that means they must pay back 1495-400 = 1095 dollars. Let L = 1095 be the amount loaned
The annual interest rate is 28% which means r = 0.28; the monthly interest rate is i = r/12 = 0.28/12 = 0.02333 approximately
There are 12 months in a year, so n = 12 is the number of payment periods
----------------------------------------
In summary so far, we have
L = 1095i = 0.02333 (which is approximate)n = 12Those values will be plugged into the monthly payment formula below
M = L*( i*(1+i)^n )/( (1+i)^n - 1 )
M = 1095*( 0.02333*(1+0.02333)^12 )/( (1+0.02333)^12 - 1 )
M = 105.671914631108
M = 105.67
The monthly payment is $105.67
If they have a monthly payment of $105.67, and they pay that for 12 months, then 12*105.67 = 1,268.04 dollars is the amount of money they pay back to the credit card company.
The total amount of interest would be 1,268.04 - 1,095 = 173.04 dollars
Side note: the formula is a complicated ugly mess, so it's understandable to use calculators that already have the formula built in. Many websites offer free calculators that do this.
Sid has a baseball cap collection. 65% of his caps have sports team symbols. If 26 of the caps have the team symbols, how many total caps does Sid have?
39
40
73
91
Answers
B. 40
As we know Sid has 26 Caps
we also know that 26 is 65% of total
so let total caps = x
to calculate x
we know that percent = (Values*100)/total Values.......... i
and here Value = 26 caps
percentage = 65
So we have
65 = (26*100)/x---------------- (As we know that per = fraction*100)..... from i
65x= 2600x = 2600/65x=40 capsHence Answer is 40
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Need answer as soon as possible please
Answers
Answer:the second one y=6x-5
Step-by-step explanation:
so :
6x-5=0
6x=0+5
6x=5
x=5:6 =0,83
A ( 0,83 ; 0)
x=0
2 x 0 -5 = -5
B(0; -5)
explanation:
Convert 4.5% to a fraction in simplest form and a decimal.
Answers
Answer:
Decimal = 0.045 Fraction = 9/200
Step-by-step explanation:
Decimal
To turn a percentage into a decimal, you need to divide by 100 OR move the decimal point two times to the right.
4.5 / 100 = 0.045
Fraction
Now for fractions it is different. Normally you would also divide by 100 and then put what you get over 100 but in this situation it is different. Here you would actually Multiply by 10 so that you decimal becomes a whole number.
4.5 x 10 = 45
Then, you take 100 and multiply it by whatever you multiplied you percentage with. This will be your denominator.
100 x 10 = 1000
Fraction = 45/1000
Now you need to simplify. Find the greatest common factor and divide it by that.
The GCF here is 5.
45/5 = 9
1000/5 = 200
Your final answer is 9/200