) There are 8 children in Sophie's preschool class. During free time yesterday, 1 of them
chose to read books. What is the experimental probability that a randomly selected
preschooler would choose to read books today?
Using it's concept, it is found that there is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these numbers of outcomes are taken from previous trials.
In this problem, in the previous trial, one out of eight students read a book, hence:
p = 1/8 = 0.125 = 12.5%.
There is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.
More can be learned about probabilities at https://brainly.com/question/14398287
Solve the system of equations with substitution or elimination method. please help 2x+y=4 and 6x+7y=12
Answer:
x=2-y/2
y=12/7-6x/7
Step-by-step explanation:
You have a cup of lemonade. Each ice cube has a length of 2 cm, a width of 1 1/4 cm and a height of 3 cm. What is the volume of one of the ice cubes? Show your steps and Explain how you used math to come to your decision.
volume : 7.5 cm²
volume of cube : length * width * height[tex]\hookrightarrow \sf Length \ * Width \ * \ Height[/tex]
[tex]\hookrightarrow \sf 2 \ * 1\dfrac{1}{4} \ * \ 3[/tex]
[tex]\hookrightarrow \sf 2 \ * \dfrac{5}{4} \ * \ 3[/tex]
[tex]\hookrightarrow \sf \dfrac{15}{2}[/tex]
[tex]\hookrightarrow \sf 7.5 \ cm^2[/tex]
Answer:
[tex]\sf volume=7 \frac12 \ cm^3[/tex]
Step-by-step explanation:
Formula
volume of cuboid = length × width × height
Given dimensions of the ice cube:
length = 2 cmwidth = 1 1/4 cmheight = 3cmSubstituting the given values into the formula:
[tex]\sf \implies volume=2\times 1 \frac14 \times 3[/tex]
Converting to improper fractions:
[tex]\sf \implies volume=\dfrac21\times \dfrac54 \times \dfrac31[/tex]
[tex]\sf =\dfrac{ 2\times 5 \times 3}{1 \times 4 \times 1}[/tex]
[tex]\sf =\dfrac{30}{4}[/tex]
Dividing the numerator and denominator by the highest common factor:
[tex]\sf \implies volume=\dfrac{30 \div 2}{4 \div 2}[/tex]
[tex]\sf =\dfrac{15}{2}[/tex]
Converting the improper fraction into a mixed number:
[tex]\sf \implies volume=7 \frac12 \ cm^3[/tex]
**20 POINTS + BRAINLIEST** Please help me with the math question!
Answer:
1/6.2=15/x
Step-by-step explanation:
15:x=1:6.2
Answer:
D. [tex]\frac{1}{6.2} =\frac{15}{x}[/tex]
93 meters
Step-by-step explanation:
Howard has a scale model of the Statue of Liberty
The model is 15 inches tall.The scale of the model to the actual statue is 1 inch: 6.2 meters1 inch = 6.2 meters
15 inches = ? meters
[tex]\frac{1}{6.2} =\frac{15}{x}[/tex] <= cross multiply
1x = 93 <== divide both sides by 1
/1 /1
x = 93 meters <== the height of the model, our final answer
Hope this helps!
For a ride on a rental scooter, Felipe paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Felipes ride was $22.28. For how many minutes did Felipe ride the scooter?
Answer:
169 minutes
Step-by-step explanation:
First, deduct the fee:
22.28 - 2 = 20.28
Change the dollars into cents:
20.28 x 100 = 2028
Then divide the amount by 12 cents:
2028 / 12 = 169.
He rode it for 169 minutes or 2 hours and 49 minutes
Find the value of each variable. 22, 30, x.
x=
y=
(Simplify your answers. Type exact answers, using radicals as needed.
please hurry for fifty points!
Answer:
11 and 11 root 3
This is because it is a 30 60 90 triangle, making it x, x root 3, and 2x.
Answer:
x = 11, y = 19.05
Step-by-step explanation:
sin 30 = x/22
22*sin 30 = x
22*0.5 = x
11 = x
tan 30 = 11/y
0.577350269 = 11/y
y = 11/0.577350269
y = 19.0525589
y= 19.05
Hope this helps :)
Question: The lengths of the diagonals of a rhombus are 5 inches and 8 inches. What are the interior angle measures of the rhombus?
How you must answer:
- Sketch - draw the sketch:
- Known:
-Unknown:
-Rationale:
-Exquation and expression:
Steps:
- Include a sketch
-State the Known
-State the Unkown and represent with a variable
-Provide a rationale
-Include the equation, exact answer, and decimal approximation
Answer:
The interior angles are approximately 64.02 degrees and approximately 115.98 degrees
The drawing is below.
==========================================================
Explanation:
A rhombus always has perpendicular diagonals. The two diagonals form four identical (aka congruent) right triangles as the figure shows below.
Notice how I've marked x and y as the unknown acute angle measures. Also, the two diagonals divide each other in half. The 8 splits into 4+4 and the 5 splits into 2.5+2.5
----------------------
Focus on one of the right triangles (they're all identical so it doesn't matter which you go for). We can use the tangent ratio to help determine the value of x.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{x}) = \frac{2.5}{4}\\\\\tan(\text{x}) = 0.625\\\\\text{x} = \tan^{-1}(0.625)\\\\\text{x} \approx 32.005383^{\circ}\\\\\text{x} \approx 32.01^{\circ}\\\\[/tex]
Angle x is roughly 32.01 degrees.
Make sure your calculator is in degree mode.
---------------------
Similar steps can be done to find the value of y.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{y}) = \frac{4}{2.5}\\\\\tan(\text{y}) = 1.6\\\\\text{y} = \tan^{-1}(1.6)\\\\\text{y} \approx 57.994617^{\circ}\\\\\text{y} \approx 57.99^{\circ}\\\\[/tex]
Or you could use the value of x to compute y like this
x+y = 90
y = 90 - x
y = 90 - 32.005383
y = 57.994617
y = 57.99
---------------------
Once we figure out x and y, it's simply a matter of doubling those values to get the interior angles of the rhombus. This is because we have the x angles next to each other to form two of the interior angles. So we have x+x = 2x = 2*32.01 = 64.02 degrees as one interior angle of the rhombus. The value is approximate.
The other interior angle is roughly y+y = 2y = 2*57.99 = 115.98 degrees
Notice how 2x+2y = 64.02+115.98 = 180
For any rhombus, the adjacent angles are supplementary (they add to 180 degrees).
PLEASE HELP I HAVE A TEST TOMORROW
Answer:
a = 12
Step-by-step explanation:
Pythagorean Theorem: A^2 + B^2 = c^2
9^2 + b^2 = 15^2
81 + b^2 = 225
225 - 81 = 144
[tex]\sqrt{144}[/tex] = 12
Have an amazing day!!
Good luck on your test!!
Please rate and mark brainliest!!
Step-by-step explanation:
use the picture as reference and solve accordingly
best of luck for your test
Please help with my math thank you for all that helped!---------------NO LINKS AT ALL
Answer:
1a) 9+9+9+9=36
b) 9×9=81. Hope this helped
[tex]\left \{ {{x+4y=2} \atop {2x+5y=7}} \right.[/tex]
A map shows a scale of 5cm = 40 miles. The distance from Los Angeles,
CA to San Francisco, CA is 400 miles. How far apart will the two cities be
on the map?
OA) 0.5 cm
OB) 5 cm
O C) 50 cm
OD 500 cm
Answer:
C
Step-by-step explanation:
It's 50 cm for sure
Answer:
C
Step-by-step explanation:
It's 50 cm for sure
PLEASE HELP ASAP!!
A population of zombies in Happy Town, USA doubles every week. The number of zombies in Happy Town is currently 75. How many more zombies will there be after an additional 4 weeks? (no commas just numbers)
Answer:
1200
Step-by-step explanation:
since the first week has 75 doubling it is 150 doubling that is 300 doubling that is 600 doubling that for the final week is 1200.
1200 more zombies will there be after an additional 4 weeks.
What is Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members (also known as elements or phrases), just like a set. The length of the series is the number of elements (potentially infinite).
At initial the zombies are= 75
Now, the zombies doubles at every week.
So, After 1 st week the population of zombies are
= 75 x 2
= 150
Then, After 2 nd week the population of zombies are
= 150 x 2
= 300
Then, After 3 rd week the population of zombies are
= 300 x 2
= 600
Then, After 4th week the population of zombies are
= 300 x 2
= 1200
Learn more about Sequence here:
https://brainly.com/question/30262438
#SPJ2
A business man has 200 bags of maize flour each weighing 50000 grammes. Find the total weight of the bags in kilograms
Answer:
10,000 ★ soz if im wrong
Step-by-step explanation:
I hope the best
Answer:
10,000kg
Step-by-step explanation:
200 bags
1bag=50,000g
200bags=?
cross multipy
200bags x 50,000g
---------------------------
1bag
=10 000 000grams
1000g=1kg
10,000,000g
10,000,000/1000
=10,000kg
brainiest please
Plss help i need this asap
(will give brainliest)
(this is not from a test)
Answer:
90
Step-by-step explanation:
im not sure but im pretty sure it would be 90 dont come at me if it not:(
Answer:
360°/3=120°
which is the size of each exterior angle.
Step-by-step explanation:
An equilateral triangle has 3 lines of symmetry, but of more importance in this case, it has rotational symmetry of order 3. This means that in a rotation of 360° the same image appears 3 times.
360°/3=120° which is the size of each exterior angle.
The triangle rotates through the exterior angle so that the next vertex can be in the same position as the previous one.
IN the same way, a square will rotate through 360/4=90°
A pentagon will rotate through 360/5=72°
for the figure to map onto itself.
3. What is the slope of a line that passes
through (0,-5) and (8,27)?
Answer:
4.
Step-by-step explanation:
Slope = difference in y coordinates / difference in the corresponding x coordinates
(27 - (-5)) / (8 - 0)
= 32 / 8
= 4.
Answer: Well, The entered points belong to an increasing, linear function.
Equation: y = 2.75x + 5.
You're key in this will be y=mx+b right?
Then you're M in y=mx+b is your slope. Therefore, if we take a look at our M in the slope we got,.....y = 2.75x + 5......it's-
2.75.
So you're slope is y= 2.75x
I'm not that great at explaining but yeah, i tried lolz :3
Consider this composite figure made of a cone and a cylinder. a cone has a height of 8 centimeters and radius of 3 centimeters. a cylinder has a height of 7 centimeters and radius of 3 centimeters. what is the volume of the cone? cone v = 1 3 bh v = 1 3 πr2h v = 1 3 π32(8) v = 1 3 π(9)(8) v = 1 3 π(72) the cone has a volume of π cm3
The volume of the cone with a radius of 3 cm and height of 8 cm is 24 π cm³. Then the correct option is D.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Consider this composite figure made of a cone and a cylinder.
A cone has a height of 8 centimeters and a radius of 3 centimeters.
A cylinder has a height of 7 centimeters and a radius of 3 centimeters.
Then the volume of the cone will be
We know that the volume of the cone
[tex]\rm Volume = \dfrac{1}{3} \pi r^2 h[/tex]
Then we have
[tex]\rm Volume = \dfrac{1}{3} \ \pi \ 3^2 *8\\\\\rm Volume = \dfrac{1}{3} \ \pi *9*7\\\\\rm Volume = \dfrac{1}{3} \ \pi \ 72\\\\Volume = 24 \ \pi[/tex]
More about the geometry link is given below.
https://brainly.com/question/7558603
Answer:
24
Step-by-step explanation:
Got it right on the question
need some help with this question in the image
Answer:
1a. first 7×9=63 Then substracting 16 we get 47 and 2-47= -45
Answer:
a. - 77
b. 4
c. 5x-14
d. 14
Step-by-step explanation:
a. 2-(7*9)-16
=> 2-63-16
=>(-61) - 16
=> -77
b.64 / 4+(3*4)
=> 64 / 4+12
=> 64 / 16
=> 4
c. 3x+2(x-7)
=> 3x+2x - 14
=> 5x-14
d. 5 + 6^2/ 4
=> 5+ 36/4
=> 5+9
=> 14
……………………868685758584984444
Answer: 86868575854984444 121213435457642222
Step-by-step explanation:
Which scatterplot represents the data that would be best modeled by a quadratic function?
A scatter plot uses dots to represent values for two different numeric variables and determine whether or not two variables have a relationship or correlation.
What is a scatterplot?
Your information is incomplete. Therefore, an overview of the scatterplot will be given. A scatterplot simply means is a type of plot using Cartesian coordinates to display values for two variables for a set of data.
In this case, a scatter plot uses dots to represent values for two different numeric variables and determine whether or not two variables have a relationship or correlation.
The position of each dot on the horizontal and vertical axis shows the values for an individual data point.
Learn more about scatterplot on:
https://brainly.com/question/6592115
Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare.
Answer:
5/8 is smaller.
Step-by-step explanation:
A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777
Then to compare them you see which is smaller or bigger.
0.77777 is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.
HELP.
can someone give me an explanation of how to do this? i just want to know how to apply the explanation to other problems!
Mid point of any two points (x1,y1) and (x2,y2)
is ((x1+x2)/2,(y1+y2)/2)
using this
we get coordinates of d are (a,-2b)
What happened to rectangle A to become rectangle B in the diagram below?
dilated and then translated
dilated and then rotated 270°
dilated and then reflected
dilated and then rotated 90°
Answer: Dilated and then translated
Step-by-step explanation:
Answer:
dilated and then translated
Step-by-step explanation:
Rectangle A has been enlarged (dilated) and then translated up and to the right.
Suppose that John wants to calculate a 96% confidence interval for a population mean from a sample of
size n = 15. What is the appropriate critical value t*?
a. 2.145
c. 2.264
b. 2.249
d. 2.054
Answer:
A I believe try A that should be it
Please help I'm giving 40 points.
Answer:
Please see explanation
Step-by-step explanation:
look at the photo
9
There were 2,500 sales at a grocery store
in one day. Of these sales, 50% happened
before noon, 15% happened between
noon and 4 PM, and the rest happened
after 4 PM.
How many sales happened after 4 PM?
A 875
B 375
C 450
D 625
Answer:
The answer is 875.
Step-by-step explanation:
Based on the given conditions, formulate: 2500x(1-15%-50%)
Calculate the sum or difference: 2500x(0.85-0.5)
Calculate the sum or difference: 2500xx0.35
Calculate the product or quotient: 875
get the result: 875
Answer: 875
so it's got like money before and after and it has indepent and dependent variable
Answer:
The dependent variable is the amount of money you earn because the amount of money you earn depends on how many chores you do.
Un triángulo rectángulo ABC recto en B , en la region relativa al lado AB se ubica el punto P, tal que la m
this queation is tricky give me a sec
Step-by-step explanation:
A flower-delivery service charges $39.95 per flower arrangement and $2.99 for delivery. The total cost y is represented by the function y=39.95x+2.99 , where x is the number of flower arrangements.
Which of the following sets of numbers would be appropriate input values for the given situation? Select all that apply.
A) Integer
B) Only Zero
C) Whole Number
D) Rational Number
E) Positive Integer
F) Negative Number
Answer:
D
Step-by-step explanation:
Out of those choices, only a rational number is going to work. There are too many decimals in the given equation to give an integer, zero, a whole number or a minus number.
D
find the total surface area of this triangular prism
answer quick
Answer:
716
Step-by-step explanation:
Triangle = bh / 2
24 x 14 = 336, you should divide by 2 but there is 2 of them (front and back) so cancels out. 10 x 24 is 240 and cancels for same reason. 336 + 240 = 576. 14 x 10 = 140 and 576 + 140 = 716
Answer:
976 cm^2
Step-by-step explanation:
area of triangle is 1/2 times base times height
notice we have two triangles
so 14 * 24 * 0.5 is 168
168 times 2 is 336
now we have a rectangle on the bottom so its area is base times height
14 times 10 is 140
and now we have two rectangles on either side
25 times 10 is 250
250 times 2 is 500
500+140+336
976 cm^2
Which inequality does the graph represent?
Answer:
The answer is
x < -1
Step-by-step explanation:
I hope it helps!