Answer:
Median: 25
Mode: 25
Step-by-step explanation:
Mariam and Sana are excited that a new store just opened in town! They go together the first day it opens! Each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50. A few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store. What is the least possible number of times that Mariam has been to the store? Just write the number.
Answer:
Mariam went to the store 5 times, while Sana went 3 times.
Step-by-step explanation:
Since Mariam and Sana are excited that a new store just opened in town, and they go together the first day it opens, and each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50, and a few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store, to determine what is the least possible number of times that Mariam has been to the store the following mathematical reasoning has to be done:
To know how many times Mariam went and how many times Sana went to the store, since she spends Rs. 30 and the other Rs. 50, and they have spent the same after a few weeks, it is through the search for the lower common multiple of both numbers.
Thus, the common multiple less than 30 and 50 is 150 (30 x 5 or 50 x 3). Therefore, Mariam went to the store 5 times, while Sana went 3 times.
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tan B, sinB, and cos B. (marking brainlist)
Answer:
tan B = 12 /5
sin B = 12/13
cos B = 5/13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan B = opp/ adj = 12 /5
sin B = opp/hyp = 12/13
cos B = adj/hyp = 5/13
Answer:
Sine of B = 12/13
Cos of B = 5/13
Tan of B = 12/5
Step-by-step explanation:
In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.
sin is opposite/hypotenuse
cos is adjacent/hypotenuse
and
tan is opposite/adjacent
The sum of a number and its square is 20
Answer:
-5
4
Step-by-step explanation:
x + x² = 20
x² + x - 20 = 0
Factor
(x + 5)(x - 4) = 0
x = {-5, 4}
-5 + 25 = 20
4 + 16 = 20
I need help with this
Answer:
42
Step-by-step explanation:
The quadrilateral is a parallelogram
The area of a parallelogram can simply be calculated by multiplying the base length by the height
The parallelogram has a height of 3m and a base length of 4 + 10 = 14m
Hence area = 14 * 3 = 42
Find the measure of the missing angle
Answer: a=
Answer:
31(given degree) + a(unknown degree) = 90 degrees(right angle shown is equal to 90 degrees)
31 + a = 90
-31 -31
A = 59 degrees.
7. Which graph represents the solution set for -4(1 – x) S-12 + 2x?
-34
-32
-30
-28
- 26
B.
-42
-40
-38
-36
-34
C.
-34
-32
-30
-28
-26
D.
-8
-6
-4
-2
o
Answer:
d
Step-by-step explanation:
because all values Gon be negative
Three coins are tossed.
What is the probability that
all three will land tails up?
Answer: 1/4
Step-by-step explanation:
solve for the missing sides 30-60-90 triangle show work please and thank you
Answer:
4.
[tex]x=8\sqrt{3}[/tex]
[tex]y=16[/tex]
5.
[tex]x=3[/tex]
[tex]y=3\sqrt{3}[/tex]
Step-by-step explanation:
The sides of a (30 - 60 - 90) triangle follow the following proportion,
[tex]a-a\sqrt{3}-2a[/tex]
Where (a) is the side opposite the (30) degree angle, ([tex]a\sqrt{3}[/tex]) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,
4.
It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.
The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times ([tex]\sqrt{3}[/tex]). Thus the following statement can be made,
[tex]x=8\sqrt{3}[/tex]
The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,
[tex]y=16[/tex]
5.
In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,
The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,
[tex]y=3\sqrt{3}[/tex]
The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,
[tex]x=3[/tex]
Which of the following is equal to the rational expression when x 3 or -10?
(x+5)(x-3)
(x-3)(x+10)
O A
X + 10
ов.
X-3
C.
X-3
OD.
Answer:
A. (x+5) / (x+10)
Step-by-step explanation:
______
Draw and label the circle given by the equation (x - 5 + y + 10 = 6
Answer:
See attachment for drawing
Step-by-step explanation:
Given
[tex](x -5)^2 + (y + 10)^2 = 6^2[/tex]
Required
Draw and label the circle
The equation of a circle is:
[tex](x -a)^2 + (y - b)^2 = r^2[/tex]
Where:
[tex]Center = (a,b)[/tex]
[tex]Radius = r[/tex]
So, we have:
[tex]Center = (5,-10)[/tex]
[tex]Radius = 6[/tex]
See attachment for drawing
Noah invests $3,600 for two years.
The account pays 0.43% monthly compound interest. To the nearest cent, what's the total that will be in Noah's account after two years?
Answer:
Future value, A = $8444.16
Step-by-step explanation:
Given the following data;
Principal = $3,600
Time = 2 years
Number of times = 24
Interest rate = 0.43 %
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value. P is the principal or starting amount. r is annual interest rate. n is the number of times the interest is compounded in a year. t is the number of years for the compound interest.Substituting into the equation, we have;
[tex] A = 3600(1 + \frac{0.43}{24})^{24*2}[/tex]
[tex] A = 3600(1 + 0.01792)^{48}[/tex]
[tex] A = 3600(1.01792)^{48}[/tex]
[tex] A = 3600(2.3456)[/tex]
Future value, A = $8444.16
6. a. Name a pair of equations that have exactly one point of intersection. How do you know?
b. Name a pair of equations that have no points of intersection. How do you know?
c. Name a pair of equations that have infinite points of intersection. How do you know?
No links or I will report! Stop reporting this question please!
Answer:
A system of linear equations will have exactly one point of intersection, for example:
2x+y=5
-x+y=2
However, a system of linear equations with no solution will have no points of intersection, for example:
-4x+10y=6
2x-5y=3
Sorry about c. though I'm confused on how a pair of equations can have infinite points of intersection unless x or y equals all real numbers which could happen if x or y both equaled all real numbers maybe
And the point of interesection for the system of equations in the problem you attached as an image is (2,-1)
I attached a photo below, and one of how to graph it
A physical fitness association is including the mile run in its secondary school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a standard deviation of 40 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 348 seconds.A) 0.0107 B) 0.9893 C) 0.5107 D) 0.4893
Answer:
A) 0.0107
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 440 seconds and a standard deviation of 40 seconds.
This means that [tex]\mu = 440, \sigma = 40[/tex]
Find the probability that a randomly selected boy in secondary school can run the mile in less than 348 seconds.
This is the p-value of Z when X = 348. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{348 - 440}{40}[/tex]
[tex]Z = -2.3[/tex]
[tex]Z = -2.3[/tex] has a p-value of 0.0107, and thus, the correct answer is given by option A.
Question 1 Simplify: 5!
Group of answer choices
5 120 80 20
Question 2 Simplify: 6!/3!
Group of answer choices
24 90 30 120
Question 3 Simplify: 12!/10! Group of answer choices 132 120 1320 12 Question 4 Simplify: {6! \times 5!}{4! \times 3!} 6!×5!4!×3!
Group of answer choices
60 55 600 5.5
Answer:
6535
Step-by-step explanation:
collect your own thinikng
Answer:
1. 120
2. 120
3. 132
4. 600
Please help I can't figure it out
Answer:
61.2%
Step-by-step explanation:
Let's start by finding the total area of the circle
it says that the radius is 4 so the total area is 16π
Then let's find the area of the traingle
The hieght is 6.5 and the base is 6
.5*6.5*6=19.5
Let's then find the white area
16π-19.5=30.765
Finally we just have to do (30.765/16π)= 61.2%
Help... do I add or divide?
I’ll give brainliest
Answer:
d.18
Step-by-step explanation:
as x goes up by 1, y goes up 18
a round cake pan has a diameter of 6 inches which is closest to the area of the bottom of the Pan
A. 20 square inches B. 30 square inches
C. 40 square inches. D. 100 square inches
Answer:
The correct answer is B.
Step-by-step explanation:
The area of the closest answer is 30 since the actual area is 28 square inches.
I’m stuck on this question
Answer:
-1 to 3
Step-by-step explanation:
When the function is constant, it'll be a horizontal straight line. On the graph of the line where there are no increases or decreases begins at -1 and ends at 3.
CINDY IS A HOSTESS AT A COUNTRY CLUB
ON THE WEEKENDS. SHE WORKED 3 Ž HOURS
ON FRIDAY NIGHT AND 5 HOURS ON
SATURDAY. IF SHE EARNED A TOTAL OF
$105 THIS WEEKEND AND IS PAID THE SAME
AMOUNT EACH HOUR SHE WORKS, HOW MUCH
DOES SHE EARN PER HOUR?
Answer and Step-by-step explanation:
Add together the hours, then divide the amount earned by the total amount of hours.
3 + 5 = 8
105 ÷ 8 = $13.125 (which would round up to 13.13) [About $13.13] is earned per hour.
#teamtrees #PAW (Plant And Water)
How do you guys do math
Step-by-step explanation:
go to school do math then you'll figure out
What is 0.81 recurring as a fraction in simplest form ?
Answer:
81/100
Step-by-step explanation:
Some lemon, lime, and cherry lollipops are placed in a bowl. Some have a
chocolate center, and some do not. Suppose one of the lollipops is chosen
randomly from all the lollipops in the bowl. According to the table below, if it
is known to be lime, what is the probability that it does not have a chocolate center?
Answer:
ok first we have to add the number of lollipops up
9+13+5+11+7+15=60
so there is 60 lollipops in total
now we have to add up the ones with out a chocolates center
11+7+15=33
so 33/60
we can simplify this
11/20
now we multiply both by 5
55/100
so 55%
Hope This Helps!!!
The correct answer is option A which is the probability of not having a chocolate center is 55%.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The given data is:-
9+13+5+11+7+15=60
So there are 60 lollipops in total, now we have to add up the ones without a chocolate center.
The probability will be calculated as:-
11+7+15=33
P =33/60
P = 11 / 20
Now we multiply both by 5
P = 55/100
Therefore the correct answer is option A which is the probability of not having a chocolate center is 55%.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ2
Algebra 2 plz help me out
9514 1404 393
Answer:
AB = 7 9/10
Step-by-step explanation:
For collinear line segments, the whole is the sum of the parts.
AB = AD + BD
AB = 3.5 +4.4 = 7.9
AB = 7 9/10
Find the area of the triangle.
8 in.
14 in.
Area: 18
square inches
Gary earns $134 in 8 hours. What is the unit rate in dollars per hour?
Answer:
16.75 dollars per hour
Step-by-step explanation:
Take the amount earned and divide by the hours
134 dollars / 8 hours
16.75 dollars per hour
Why can the value of the variable a in the expression a + 2 be any number?
Why does the variable b in the equation 6 + 2 = 5 have only one value?
Please help
Answer:
(a) Because the expression is not an equation
(b) Because the expression is an equation
Step-by-step explanation:
Solving (a): a + 2
The above expression can assume any value for a because it is not an equation.
Take for instance:
a = 2;
[tex]a + 2 \to 2 + 2 = 4[/tex]
[tex]a =-4[/tex]
[tex]a + 2 \to -4 + 2 = -2[/tex]
The reason for this is because the expression is not an equation
Solving (b): [tex]b + 2 = 5[/tex]
The above expression can assume only value for b, and the value is:
[tex]b + 2 = 5[/tex]
[tex]b = 5-2[/tex]
[tex]b =3[/tex]
This means that only [tex]b =3[/tex] will make the equation true.
The reason for this is because the expression is an equation
Write 95% as a fraction in simplest form
Answer:
19/20
Step-by-step explanation:
95%/100=0.95
=95/100
simplified
19/20
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\text{95\% as a fraction}[/tex]
[tex]\large\text{We know percentages runs out of 100, so we first divide 95} \\\large\text{from 100 and answer that one to actually solve for your answer}[/tex]
[tex]\mathsf{\dfrac{95}{100}}[/tex]
[tex]\boxed{\mathsf{= \bf 0.95}}\large\checkmark[/tex]
[tex]\mathsf{\dfrac{0.95}{1}\times\dfrac{100}{100}}[/tex]
[tex]\large\text{CROSS MULTIPLY}[/tex]
[tex]\mathsf{\dfrac{0.95\times100\leftarrow \bold{numerator}}{1\times100\leftarrow \bold{denominator}}}}[/tex]
[tex]\mathsf{0.95\times100 = \boxed{\bf 95}}\large\checkmark[/tex]
[tex]\mathsf{1\times100=\boxed{\bf 100}}\large\checkmark[/tex]
[tex]\large\text{NEW EQUATION: }\mathsf{\dfrac{95}{100}}[/tex]
[tex]\large\text{FINALLY we simplify the fraction}[/tex]
[tex]\large\text{Each of your numbers are factors of 5, so we divide both numbers by 5}[/tex]
[tex]\mathsf{\dfrac{95\div5}{100\div5}}[/tex]
[tex]\mathsf{95\div 5 = \boxed{\bf 19}\large\checkmark\leftarrow \underline{numerator}}[/tex]
[tex]\mathsf{100\div5 = \boxed{\bf 20}\large\checkmark\leftarrow \underline{denominator}}[/tex]
[tex]\boxed{= \mathsf{\bf\dfrac{19}{20}}}\huge\checkmark[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: }\mathsf{\bf \dfrac{19}{20}}}} \huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Need help with this question 30 points and ill give brainlist ASAP
Answer:
my answer is A. you only need substitute n from 1 to 4
can anyone help me and explain as well
Answer:
3x2-3x+9
Step-by-step explanation:
(h-k)(3)
(X2+1-(x-2))(3)
(x2+1-x+2)(3)
3x2+3-3x+6
3x2-3x+9
Hello,
h(x)=x²+1
k(x)=x-2
First of all, you must understand that:
(h+k)(x)=h(x)+k(x)
So, (h+k)(3)=h(3)+k(3)=(3²+1)+(3-2)=(9+1)+1=11
3h(2)+2k(3)=3*(2²+1)+2*(3-2)
=3*(4+1)+2*1
=15+2
=17