Answer:
1 feet = 12 inches
therefore ,
5 feet = 5 × 12 = 60 inches
Now ,
16 inches to 60 inches ,
[tex] \frac{16}{60} \div \frac{4}{4} = \frac{4}{15} \\ [/tex]
hope helpful~
Answer: 6 1/3
Step-by-step explanation: 16 inches = 1 foot and 4 inches + 5 feet = 6' 4" 6 4/12 simplify = 6 1/3
Suppose the monthly charges for cell phone plans in the U. S. Are normally distributed with a mean of $62 and a standard deviation of $10. What is the proportion of cell phone plans charging less than $42 a month for service?
Using the normal distribution, it is found that 0.0228 = 2.28% of cell phone plans charge less than $42 a month for service.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 62, \sigma = 10[/tex].
The proportion of cell phone plans charging less than $42 a month for service is the p-value of Z when X = 42, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{42 - 62}{10}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228.
0.0228 = 2.28% of cell phone plans charge less than $42 a month for service.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Find the measure of each angle in Triangle ABC. m∠a=(50−x)°m∠b=(9x−40)°m∠c=90°
Answer:
40°
50°
90°
Step-by-step explanation:
sum of angle in a triangle is= 180°
(50-x)° + (9x-40)° + 90° = 180°
50-x+9x-40 + 90 = 180
50- 40 +90 -x+9x =180
100 + 8x = 180
8x = 180 -100
8x = 80
x = 80/8 =10
x = 10°
measure of a= (50-x) = 50- 10 = 40°
measure of b = (9x-40)= 90- 40= 50°
measure of c = 90°
would a table of x- 1,2,3,4 and y- 5 7 9 11 be linear
Answer:
yes, it is
Step-by-step explanation:
The table shows a constant rate of change
y-5 7 9 11
5, 5+2, 7+2 ,9+2
what is the distributive property of 6(2x + 5y).
Answer:
12x+30y
Step-by-step explanation:
6*2x+6*5y
12x+30y
Answer:
12x+30y
Step-by-step explanation:
6(2x+5y)
The distributive property is used if a number is in the form
[tex]a(b+c)[/tex]
To solve this problem, you need to multiply b and c by a.
[tex]=ab+ac[/tex]
Now, let's plug in your numbers.
a = 6
b = 2x
c = 5y
[tex]6(2x+5y)\\=(6)2x+(6)5y\\=12x+30y[/tex]
Johnny is training for a bike race. He recorded how far he rode in his first few training sessions.
Distance biked (mi.)
17 12 15 8 13 20 12 19
Which box plot represents the data?
help ASAP!
Base on the distance biked by Johnny, the box plot that represents the data above is the second box plot.
Box plot
A box plot is a visual graph that is used to display the median, lower and upper quartiles, and lower and upper extremes of a set of data.
Therefore, let's arrange the data in ascending order.
8, 12, 12, 13, 15, 17, 19, 20
median = 13 + 15 / 2 = 28 / 2 = 14
upper extreme = 20
lower extreme = 8
Therefore, the box plot that represent the data above is the second box plot.
learn more on box plot here: https://brainly.com/question/9534370
How many circles of radius 1 unit can you fit inside a
circle of radius 4 units so that they don't overlap?
Answer:
You can fit 11 circles
There are 3 circles of radius 1 unit can you fit inside a circle of radius 4 units.
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The circle is shown with radius 4 units.
Now,
Since, The circle is shown with radius 4 units.
Cleary, 4 = 1 + 1 +1 + 1
So, We get 4 circle of radius 1 unit can you fit inside a circle of radius 4 units.
But we find the circle that they don't overlap.
Hence, There are 3 circles of radius 1 unit can you fit inside a circle of radius 4 units.
Thus, There are 3 circles of radius 1 unit can you fit inside a circle of radius 4 units.
Learn more about the circle visit:
https://brainly.com/question/1294687
#SPJ2
PLEASE HELP ILL GIVE BRAINLIEST TO FIRST ANSWER
Answer:
x =11
Step-by-step explanation:
6x +1 + 5x -17 + 9x - 24 = 180
x =11
PLEASE HELP!!!!!
4. A cube has a volume of 64 m². What is the cube's surface area?
12 points!!! <333
Answer:
Surface area = 96 m^2
Step-by-step explanation:
Let's cube root the volume to find the length of one side of the cube.
[tex]64^\frac{1}{3} = 4[/tex]
Therefore each side is 4 m.
Surface area of one side = 4x4 = 16
A cube has 6 sides.
Total surface area of the cube = 16*6 = 96 m^2
A family has two children. If B represents a boy and G represents a girl, the set of outcomes for the possible genders of the children is S = {BB, BG, GB, GG}, with the oldest child listed first in each pair. Let X represent the number of times G occurs. Which of the following is the probability distribution, PX(x)? A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25. A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 33, 0. 33, 0. 33. A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 75, 0. A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0, 0. 5, 0. 5.
The probability is the ratio of the favorable event to the total number of events. Then the correct option is A.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
A family has two children.
If B represents a boy and G represents a girl, the set of outcomes for the possible genders of the children is S = {BB, BG, GB, GG}, with the oldest child listed first in each pair.
Let X represent the number of times G occurs.
The table will be
X P(X)
0 0.25
1 0.50
2 0.25
Then the correct option is A.
More about the probability link is given below.
https://brainly.com/question/795909
ΔABC undergoes a translation to become ΔA'B'C'. Are the triangles congruent, similar, neither or both? Explain.
Write an equation using “” and then solve the equation. The late fee for each day is $2. A patron paid $72 for books that are overdue for 9 days.
THIS IS DUE IN 5 mins i need help .Rewrite the fraction in the sentence below as a percentage. In , 2012 a fire destroyed 11/20 of the farmer's crops.
Answer:
55%
Step-by-step explanation:
first, you have to divide 11 by 20
11 divided by 20 = 0.55
then you multiply the resulting decimal value by 100 and add the percent symbol (%)
(0.55*100% = 55%
so that's how you get a percentage of 55%
you're welcome
5. Three jars of crushed ginger costs $2.00. How many jars can you buy for $6.00?
Answer:
9 jars
Step-by-step explanation:
If 3 jars cost $2
and 3 times 2 is $6 then just multiply 3 by 3 to get 9 jars.
Hope this helped.
A brainliest is always appreciated.
Choose ALL answers that describe the quadrilateral VWXYVWXY if VW = 55VW=55, WX = 67WX=67, XY = 45XY=45, YV = 33YV=33, \text{m}\angle V = 143^{\circ}m∠V=143 ∘ , \text{m}\angle W = 46^{\circ}m∠W=46 ∘ , \text{m}\angle X = 95^{\circ}m∠X=95 ∘ , and \text{m}\angle Y = 76^{\circ}m∠Y=76 ∘ .
Parallelogram
Quadrilateral
Rectangle
Rhombus
Square
Trapezoid
The quadrilateral VWXY is a trapezoid.
What is a quadrilateral?A quadrilateral is a polygon with four sides and four angles. Types of quadrilaterals are parallelogram, rectangle, rhombus, square and trapezoid.
A Trapezoid is a quadrilateral with a pair of opposite parallel sides.
Given a quadrilateral VWXY, WX = 67, XY = 45, YV = 33, VW = 55, and all the angles are different, hence:
The quadrilateral VWXY is a trapezoid.
Find out more on quadrilateral at: https://brainly.com/question/23935806
During a sale, a store offered a 15% discount on a camera that originally sold for $600. After the sale, the discounted price of the camera was marked up by 15%. What was the price of the camera after the markup? Round to the nearest cent.
The final marked up price is $586.5
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: Discount %=15 Marked price=$600 and after the sale marked up percentage is 15%
Thus, Discounted price = 600×(1-15%)
= 600× 0.85
=$510
And therefore the marked up price after sale is= $510×(1+15%)
= $586.5
Hence, The final marked up price is $586.5
Learn more about percentages here:
https://brainly.com/question/29306119
#SPJ2
Calculate the volume. Round your answers to the nearest tenth if necessay
Answer:
384 cm^3
Step-by-step explanation:
Use the formula to find the volume.
Volume = Area of the base x the height
V = Bh
V = 32(12)
V = 384 cm^3
Hurry please!
What is the slope of a line perpendicylar to the line whose equation is
5x + 6y = -54. Fully simplify your answer.
Answer:
[tex]\frac{6}{5}[/tex]
Step-by-step explanation:
*Perpendicular lines have negative reciprocals slopes*
First, find the slope-intercept form of 5x + 6y = -54:
5x + 6y = -54
-5x -5x
6y = -5x - 54
/6 /6
y = [tex]-\frac{5}{6}x[/tex] - 9
y = mx + b
So, the reciprocal slope of m = [tex]-\frac{5}{6}[/tex] is m = [tex]\frac{6}{5}[/tex]
Hope this helps!
Triangle ABC is transformed to form triangle A'B'C'.
Which transformation of △ABC results in △A'B'C'?
Reflection across the x-axis
Rotation 180° about the origin
Translation 3 units down and 2 to the right
Rotation counterclockwise 270° about the origin
Answer: Rotation 180° about the origin
Step-by-step explanation:
Maria has 14 pencils, Ted has 9 pencils, Tom has 12 pencils, Lucinda has 13 pencils, and Jumana has 12 pencils. How can they redistribute the pencils so that they all have the same amount? How many pencils should each person have?
Answer:
12
Step-by-step explanation:
First you have to add the amount of pencils each person has
14 + 9 + 12 + 13 + 12
Which equals 60
Then, you have to divide the total by the answer you got from above
60 / 5
Which equals 12
A
1080
B
Reflex Angle B =
degrees.
Answer:
A reflex angle is an angle greater than a straight angle and less than a circle. ... Some examples of the measures of reflex angles in degrees are:.
Step-by-step explanation:
hope it helps!
What is the slope of the line that passes through the points (9, -10) and (14,5)?
Write your answer in simplest form.
Answer:
3
Step-by-step explanation:
so you have to use the equation
y2 - y1 / x2 - x1
to find the slope
now all you have to do is substitute
-10 - 5 / 9 - 14
-15/ -5
3
Answer:
[tex]m=3[/tex]
Step-by-step explanation:
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(9,\:-10\right),\:\left(x_2,\:y_2\right)=\left(14,\:5\right)[/tex]
[tex]m=\frac{5-\left(-10\right)}{14-9}[/tex]
[tex]\mathrm{Refine}[/tex]
[tex]m=3[/tex]
I would love the pleasure of someone helping me with the answer
Answer:
A, B, E, and F
Step-by-step explanation:
The Panthers did not score more points than the Tigers. The Tigers scored fewer points than the Lions. The Lions scored fewer points than the Wolverines but more points than the Panthers. Which team scored more points, the Wolverines or the Panthers?
Answer:Wolverines
Step-by-step explanation:
The panthers < tigers Tiger 1
Tigers < Lions Lions 2
Lions< wolverines Panthers 0
Lions> Panthers Wolverines 1
Even though the lions scored more wolverines scored more than the panthers since the panthers didn't score a single point according to my calculations
Find the prime factorization of 35
Answer:
•The Prime Factors of 35 are 1, 5, 7, 35 and its Factors in Pairs are (1, 35) and (5, 7).
Explanation:#Let's Study
#I Hope It's Help
#Keep On Learning
#Carry On Learning
What is the standard notation for the distance of 8.512 x 10^10 miles (10 to the tenth power)
I'm not sure what the answer can be for this
Answer:
85120085120000000
Explanation
In parallelogram rstu, what is su? 10 m 13 m 23 m 26 m.
Answer:
26
Step-by-step explanation:
none
The length of SU is 26.
What is Parallelogram?Opposite sides are parallel and congruentOpposite angles are congruentConsecutive angles are supplementaryDiagonals bisect each otherAs, we know the diagonal of parallelogram bisect each other.
So, UV = VS
x+ 3 = 2x- 7
Now, solve for we get
x - 2x = - 7 - 3
-x = -10
x = 10
Then, the length of SU
= UV + VS
= 10 + 3 + 2(10)-7
= 13 + 13
= 26
Thus, the required value is 26.
Learn more about Parallelogram here:
https://brainly.com/question/29147156
#SPJ7
Zach's zoo has two elephants. The male elephant weighs 3/5 of a ton and the female elephant weighs 1/5 of a ton. How much more does the male weigh than the female?
Step-by-step explanation:
I think 3/5 - 1/5 = 2/5 of a ton
when the legs of a triangle are both 6 cm. what is the hypotenuse
Answer:
72
Step-by-step explanation:
to find the hypotenuse you need to do (Hypotenuse)^2 = (Base)^2 + (Altitude)^2, which is the Pythagorean theorem (a^2+b^2=c^2)
if the bases are both 6, you need to do 6^2+6^2= hypotenuse
6*6+6*6=?
36+36=72
so the hypotenuse is 72 cm
Which is the decimal expansion of StartFraction 7 Over 22 EndFraction? ModifyingAbove 0. 318 with bar 0. 3ModifyingAbove 18 with bar 0. ModifyingAbove 318 with bar 0. 31ModifyingAbove 8 with bar.
The answer to the question will be 0. 3 Modifying Above 18 with bar
What will be the decimal expansion of 7 over 22?
When we divide 7 by 22 we will get 0.3181818..........
Here 3 is not repeating but 18 is repeating again and again
So it is a Non-terminating repeating number
Thus the answers to the question will be 0. 3 Modifying Above 18 with bar
To know more about Non terminating repeating numbers follow
https://brainly.com/question/17636098
please help me find the answer
Answer:
Slope-1/2
Y-intercept 4
Step-by-step explanation:
To find slope count the amount of squares but use rise over run
To find the y intercept, look where the line intercepts with the y intercept