Question 4 of 25
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 58 and 64? Round your
answer to the nearest tenth of a percent.
A. 53.3%
B. 54.3%
C. 52.3%
D. 51.3%
Answer:
Step-by-step explanation:
We are looking for P(58 < x < 64). We need to find the percentage to the left of the z-scores for each of these numbers. To find the z scores, use the formula:
[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex]
[tex]z=\frac{58-62}{4}[/tex] which gives us a z-score of -1. The percentage of numbers to the left of a z-score of -1 is .1586553
Now for the other z-score:
[tex]z=\frac{64-64}{4}[/tex] which gives us a z-score of .5. The percentage of numbers to the left of a z-score of .5 is .69146246
The lower percentage subtracted from the higher gives the area in question:
.69146246 - .1586553 = .53280716, or as a percentage, 53.3%, choice A.
Add 1,249 and 594.
what is their sum rounded to the nearest hundred?
A. 700
B. 1,800
C. 1,900
Answer:
1249+592=1843, rounding that you get B, 1,800
Complete the sentence. The amount of time it takes to drive from your house to the library is most likely to be a function of the _____.
Answer:
D. distance
Step-by-step explanation:
really ? given the choices you needed help with that ?
only D makes sense. the rest is completely ridiculous and has nothing to do with driving from the house to the library.
Juan vende 180 empanadas al día. Por la mañana vende las dos terceras partes y por la tarde la cuarta parte de lo que queda. ¿Cuantas empanadas le queda por vender en la noche?
Answer:
A Juan le quedan 45 empanadas.
Step-by-step explanation:
Dado que Juan vende 180 empanadas al día, y por la mañana vende las dos terceras partes y por la tarde la cuarta parte de lo que queda, para determinar cuántas empanadas le queda por vender en la noche se debe realizar el siguiente cálculo:
180 x 2 / 3 = 120
180 - 120 = 60
60 x 1/4 = 15
60 - 15 = 45
Por lo tanto, a Juan le quedan 45 empanadas.
How can I rewrite this in exponential form and then evaluate it?
QUESTION:- EVALUATE THE EXPRESSION
EXPRESSION:-
[tex]{( \sqrt[6]{27 {a}^{3} {b}^{4} } )}^{2} [/tex]
ANSWER->[tex]{( \sqrt[6]{27 {a}^{3} {b}^{4} } )}^{2} \\ {( {27 {a}^{3} {b}^{4} } )}^{ \frac{2}{6} } \\ {({27 {a}^{3} {b}^{4} } )}^{ \frac{ \cancel{2}}{ \cancel6 {}^{ \: 3} } } \\ {(27)}^{ \frac{1}{3} } {a}^{ \frac{3}{3} } {b}^{ \frac{4}{3} } \\{(3)}^{ \frac{ \cancel3}{ \cancel3} } {a}^{ \frac{ \cancel3}{ \cancel3} } {b}^{\frac{3 + 1}{3} } \\3a {b}^{ \frac{ \cancel3}{ \cancel3} } {b}^{ \frac{1}{3} } [/tex] [tex] \\ ANSWER->3ab \sqrt[3]{b} \: \: \: \: \: or \: \: 3a {b}^{ \frac{4}{3} } [/tex]
Someone, please help! Thank you!
The ratio of measures of angles of a polygon is 3:1:4:1:5:9:2. What is the measure of the largest angle?
Answer:
324°
Step-by-step explanation:
Totak angles in a 7 sided polygon = 900°
Side A = 3
Side B = 1
Side C = 4
Side D = 1
Side E = 5
Side F = 9
Side G = 2
Total = 25
The largest angle has the largest ratio which is side F
Angle in side F = Ratio of side F / total ratio × 900°
= 9/25 × 900°
= 0.36 × 900°
= 324°
The largest angle = 324°
The smallest angles are angles with the lowest ratio which are side B and side D
Angle in side B = Ratio of side F / total ratio × 900°
= 1/25 × 900°
= 0.04 × 900°
= 36°
The smallest angles are angles 36°
someone please help me
Step-by-step explanation:
D) (A³/2)³ = A⁹/8
A³ whole to the power 3 is A⁹
2³ is 8
Find the length of side x in simplest radical form with a rational denominator.
60°
12
Submit Answer
Answer: =
attempt 1 out of 2
PLSSSSS HELP
Answer:
24
Step-by-step explanation:
cos 60 = adjacent / hypotenuse
1 / 2 = 12 / x
x = 2 ( 12 )
x = 24
HELP ILL GIVE BRAINLIEST
A) 4.5×10¹¹ B) 3.5×1000
Hope it helped you
The equation of the line that goes through the point .............................................................
Answers:
m = 3/4b = -3/4Note: 3/4 = 0.75
====================================================
Explanation:
The first thing we need to do is solve that given equation for y
4x+3y = 3
3y = 3-4x
3y = -4x+3
y = (-4x+3)/3
y = (-4x)/3 + 3/3
y = (-4/3)x + 1
This last equation is in slope intercept form, y = mx+b, where,
m = -4/3 = slopeb = 1 = y interceptThese m and b values are not the final answer unfortunately, as we have yet to determine anything about the perpendicular line. However, it helps us build toward the answer.
We'll focus on the slope.
Apply the negative reciprocal to -4/3 to get 3/4. We flip the fraction and the sign from negative to positive.
This means the perpendicular slope is 3/4 and this value goes in the first box.
-----------------------------
From here, we'll use the fact that the perpendicular line goes through the point (x,y) = (5,3)
i.e. we have x = 5 and y = 3 pair up together.
Use that perpendicular slope we found earlier to say,
y = mx+b
3 = (3/4)*5 + b
3 = 15/4 + b
3 - 15/4 = b
12/4 - 15/4 = b
(12-15)/4 = b
-3/4 = b
b = -3/4 is the y intercept of the perpendicular line
Answer:
y = 3/4 x -3
Step-by-step explanation:
4 x + 3y = 3
3y = -4x + 3
y = -4/3x + 1
~~~~~~~~~~~~~~~~~~~~~~~
y = 3/4 x + b
3 = 3/4(5) + b
12 = 15 + b
B = -3
The number 55 is attached to a two-digit number on its left, and the formed 4-digit number is divisible by 24. What could be the two-digit number? List all options.
Answer:
the answer will be 44 I think I hoped I helped if not sorry.
Step-by-step explanation:
The side length of an equilateral triangle is x + 3. Write an expression for the perimeter of the triangle.
Answer:
(x+3)*3=3x+9
Step-by-step:
Anyone? Ive tried and its not clicking
Answer:
Hello Bro How Are You....?
No cap, I really do need someone to talk to rn hit me up please. Lol
hmmm... . . . . . . . . . . . .
Question 2 of 5
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each explicit formula to its corresponding recursive formula,
Given:
The different recursive formulae.
To find:
The explicit formulae for the given recursive formulae.
Solution:
The recursive formula of an arithmetic sequence is [tex]f(n)=f(n-1)+d, f(1)=a,n\geq 2[/tex] and the explicit formula is [tex]f(n)=a+(n-1)d[/tex], where a is the first term and d is the common difference.
The recursive formula of a geometric sequence is [tex]f(n)=rf(n-1), f(1)=a,n\geq 2[/tex] and the explicit formula is [tex]f(n)=ar^{n-1}[/tex], where a is the first term and r is the common ratio.
The first recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=f(n-1)+5[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:
[tex]f(n)=5+(n-1)(5)[/tex]
[tex]f(n)=5+5(n-1)[/tex]
Therefore, the correct option is A, i.e., [tex]f(n)=5+5(n-1)[/tex].
The second recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=3f(n-1)[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:
[tex]f(n)=5(3)^{n-1}[/tex]
Therefore, the correct option is F, i.e., [tex]f(n)=5(3)^{n-1}[/tex].
The third recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=f(n-1)+3[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:
[tex]f(n)=5+(n-1)(3)[/tex]
[tex]f(n)=5+3(n-1)[/tex]
Therefore, the correct option is D, i.e., [tex]f(n)=5+3(n-1)[/tex].
Answer:
From Edmentum :)
Help please need it ASAP correct
Answer:
[tex]p=-7[/tex]
Step-by-step explanation:
This is how you find it
1) Substitute the p into the equation to get 7(-7)-7=-56. Then you get -49-7=-56. This is true
Hope this helps! :)
Answer:
p = - 7
Step-by-step explanation:
7p - 7 = - 56
7p - 7 + 7 = - 56 + 7
7p = - 49
7p ÷ 7 = - 49 ÷ 7
p = - 7
Find the missing number 2/? =5/10
Answer:
4
Step-by-step explanation:
2/x = 5/10
Using cross products
2*10 = 5x
20 =5x
Divide each side by 5
20/5 = 5x/5
4=x
The unknown number is 4
Answer:
? = 4
Step-by-step explanation:
I am using x for ?
[tex]\frac{2}{x}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )
5x = 20 ( divide both sides by 5 ) x = 4
The missing number is 4
Moosonee: -1.5°C
Cold Lake: -4.5°C
Anchorage: -9.5°C and
Moscow: -1°C
Which city is warmer?
Answer:
Moscow
Step-by-step explanation:
In negatives the greater number is less. So -1 is the greatest, and thus, Moscow is the answer.
Moscow with a temperature of -1°C is warmer than Moosonee (-1.5°C), Cold Lake (-4.5°C), and Anchorage (-9.5°C).
The temperatures provided for the cities are as follows:
Moosonee: -1.5°C
Cold Lake: -4.5°C
Anchorage: -9.5°C
Moscow: -1°C
To determine which city is warmer, we compare the temperatures.
The higher the temperature, the warmer the city.
Moscow has the highest temperature of -1°C.
Therefore, Moscow is the warmest city compared to Moosonee, Cold Lake, and Anchorage, as it has a temperature that is closer to 0°C (warmer) compared to the other cities.
To learn more on Number system click:
https://brainly.com/question/1763119
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if V = 1/3 BH, what is h expressed in terms of B and V?
A) 1/3VB
B) V/3B
C) 3V/B
D) 3VB
V=(1/3)(B)(h)
multiply both sides by 3
3V=Bhdivide both sides by B
3V/B=hFind the volume of this cylinder. Please help
Answer:
[tex]\boxed {\boxed {\sf 384 \ ft^3}}[/tex]
Step-by-step explanation:
The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:
[tex]V= \pi r^2 h[/tex]
Where:
r= radius h= heightThe radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.
r= 4 ft h= 8 ft π= 3Substitute the values into the formula.
[tex]V= (3)(4 \ ft)^2 (8 \ ft)[/tex]
Solve the exponent.
(4 ft)²= 4 ft * 4 ft = 16 ft²[tex]V= (3)(16 \ ft^2)(8 \ ft)[/tex]
Multiply the three numbers together.
[tex]V= 48 \ ft^2 (8 \ ft)[/tex]
[tex]V= 384 \ ft^3[/tex]
The volume of the cylinder is approximately 384 cubic feet.
solve for x:
4x-4<8 AND 9x+5>23
Choose 1 answer:
A: 2 3
C: There are no solutions
D: All values of x are solutions
Answer:
2<x<3
Step-by-step explanation:
4x-4<8 AND 9x+5>23
Solve the first inequality
4x-4<8
Add 4 to each side
4x-4+4 <8+4
4x<12
Divide by 4
4x/4 <12/4
x <3
Solve the second inequality
9x+5>23
Subtract 5 from each side
9x+5-5>23-5
9x >18
Divide by 9
9x/9>18/9
x>2
Put together
x<3 and x>2
2<x<3
a car can complete a journey of 300 km with a speed of 60 km per hour I) how much does it take the to complete the journey and what is the speed of the car if it covers only 200 km in the same interval of time
Step-by-step explanation:
First step:
Distance = 300km
Speed = 60km/hr
We know,
Using Speed = Distance ÷ Time
Time = Distance ÷ Speed
we have Total Time = 300÷60
Total Time = 5hr
Again,
Distance = 200km. (Time = 5hr,
Speed =? Distance = 200)
Speed = Distance÷ Time
= 200÷5
= 40km/hr
Find the solutions of the quadratic equation x2 – 6x + 8 = 0.
hope this helps! feel free to clarify
I need help pleaseee
Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, tangent.
Remember: SOH-CAH-TOA
From the angle, we know the opposite side and want to figure out the adjacent side. Therefore, we should use the tangent function.
tan(35) = 6/RS
RS = 6 / tan(35)
RS = 8.6
Hope this helps!
There are 1500 pupils in a school. 23% of the pupils in the school are Malays. 68% of the pupils are Chinese. The rest of the pupils are indians. how many more Chinese pupils than Malay pupils are there?
Answer:
there is 77% more chinese students.
Step-by-step explanation:
subtract the 23% of malay students from the 100% of the students in the school.
100-23=77
When you flip a biased coin the probability of getting a tail is 0.34. Find the probability of getting a head.
Answer:
If you want to know what the probability is to get at least one Heads, then that is the same as the probability of all the events (100%, or 1) minus the probability of getting all Tails.
There are 100 coins. 99 are fair, 1 is biased with both sides as heads. With a fair coin, the probability of three heads is 0.53=1/8. The probability of picking the biased coin: P(biased coin)=1/100.
Step-by-step explanation:
5x+y=2 4x+y=4
how do i solve this?
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
See this attachment
[tex]\boxed{\boxed{\sf{x=-2~and~y=12 }}}[/tex]
22. If y = 1/3(x - 2), express x in terms of y A. X = 3y - 2 B. x = 3y + 2 C. x=y D. x=-Y
Answer:
B. x= 3y+2
Step-by-step explanation:
y=⅓x-⅔
⅔+y=⅓x
(⅔÷⅓)+(y÷⅓)=⅓x÷⅓
2+3y=x
A line is parallel to y=3x-12 and intersects the point (1,-2). What is the equation of this parallel line?
y=3x +[?]
Answer:
y=3x-5
Step-by-step explanation:
-2=3(1) + b
-2=3+b
-5=b
y=3x-5
The cost of a pound of nails increased from $2.22 to $2.46. What is the percent of increase to the nearest whole-number percent?
Subtract to find the amount of the increase then divide the amount of increase by the original amount:
2.46 - 2.22 = 0.24
0.24/2.22 = 0.108
Multiply by 100 to get percent:
0.108 x 100 = 10.8%
Rounded to nearest whole number = 11%
