Answer:
d =13 cm
r = 6.5 cm
Step-by-step explanation:
The diameter is the distance across the circle, going through the center
d = 13 cm
The radius is 1/2 of the diameter
r = d/2 = 13/2 = 6.5 cm
Answer:
Radius is 6.5
Diameter is 13
Step-by-step explanation:
The diameter is the distance across the circle. The radius is half the distance across the circle.
A 4-pound bag of apples costs $5.00. Based on that rate, which equation shows how y, the cost in dollars, is realted to x, the weight in pounds?
y = x - 1
y = 1.25x
y = 0.8x
y = x + 1
y = 1.25 x equation shows the correct relation of x
What is linear graph?
Linear graph is represented in the form of a straight line. To show a relationship between two or more quantities we use a graphical form of representation.
According to the question,
Cost of apples, y, varies directly with pounds
of apples purchased, x.
y = k. x
k is constant of proportion
Four pounds of apples cost $5
5 = 4. k
k = 5/4 = 1.25
As it should be, k is a constant equal to 1.25
y = 1.25 x for 4 pounds of apples
Hence, y = 1.25 x equation shows the correct relation of x
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A company specializing in building robots that can clean your house has found that the average amount of time kids spend cleaning their houses is about 2 hours per week. If their sample size was 1000 randomly chosen kids and the standard deviation was 0.3 hours, what is the margin of error for a confidence interval of 95%?
Answer:
0.588
Step-by-step explanation:
Margin of error is:
ME = CV × SE
where CV is the critical value (z score or t score), and SE is the standard error (standard deviation of the sample).
Since n is large, we can approximate as a normal distribution. At 95% confidence level, z = 1.96.
Therefore, the margin of error is:
ME = 1.96 × 0.3
ME = 0.588
Using the z-distribution, it is found that the margin of error for a 95% confidence interval was of 0.0186.
What is a z-distribution confidence interval?The interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The standard deviation for the population and the sample size are given, respectively, by:
[tex]\sigma = 0.3, n = 1000[/tex]
Hence, the margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{0.3}{\sqrt{1000}}[/tex]
M = 0.0186.
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Event A: stops on red
Event B: stops on yellow
Find P(A or B)
A.) 1/4
B.) 1/8
C.) 1/2
D.) 1/16
Answer:it is 1/2
Hopefully this helps
Answer:
Event A: stops on red
Event B: stops on yellow
Find P(A or B)
1/2
The radius of the earth is 3959 miles. A meteor with a diameter of 750 miles strikes the earth in an unpopulated area. What percent of the earths surface is affected by the meteor strike? Is it a 36% be 0.9% C9% or D3.6%
Answer:
B. 0.9%
Step-by-step explanation:
If the diameter of the meteor is 750 miles, then its radius is 750/2 = 375 miles
The radius of the earth is 3959 miles
Assuming that both bodies are spherical, their surface are:
meteor's surface: π*r² = π*375² = 441786.467 miles²
Earth's surface: π*3959² = 49240321.1 miles²
If 49240321.1 miles² represents 100% then 441786.467 miles² represents:
49240321.1 miles² / 100% = 441786.467 miles² / x%
x = 441786.467/49240321.1*100
x = 0.9%
Answer:
B) 0.9%
Step-by-step explanation:
Steven earns extra money babysitting. He charges $17.25 for 3 hours and $28.75 for 5 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
The equation is y =
Answer:
y= 5.75x
Step-by-step explanation:
divide the amount he charges by how many hours.
please help me out! i have a few more of these questions, about 4
Step-by-step explanation:
You can make a table of values to find the points that belong to the line and then draw the line through those points. Here are some: (-6, -2), (0, -1), and (6, 5). You can use any value for x in your table. Hope this helps!
Answer:
Step-by-step explanation:
put a point in at negative 1 first; that is the y value.
Then, go up 1 then to the right six points. that should result in the next point being at (0,6).
Keep going and draw a line
Which numbers are solutions to the inequality -3x-3<_6? Check all of the boxes that apply.
Answer:
0,2,4
Step-by-step explanation:
Answer: 0,2,4
Step-by-step explanation:
Below are two truths and one lie, choose the lie.
Answer:
The horizontal asymptote is x-axis
Step-by-step explanation:
The horizontal asymptote is the y axis not x axis
yoyoyoyooyyoyoyoyyyoy I need help plz someone
Answer:
14 units, 19.8 units (3 s.f.)
Step-by-step explanation:
To find the length of each side of the square ABCD, find the length of AB.
Refer to the picture attached.
AB= AX +XB
Let's find the length AX first.
(see triangle AXY)
Applying Pythagoras' Theorem,
(AX)² + (XY)² = (AY)²
(AX)² +12²= 13² (subst. known values)
(AX)²= 169 -144 (move constant to 1 side)
(AX)²= 25 (simplify)
AX= √25 (square root both sides)
AX= 5 units
Now, let's find the length of XB.
(see triangle BXY)
Applying Pythagoras' Theorem,
(XB)² + (XY)²= (BY)²
(XB)² +12²= 15²
(XB)²= 225 -144 (bring constant to 1 side)
(XB)²= 81 (simplify)
XB= √81 (square root both sides)
XB= 9 units
AB
= 5+9
= 14 units
Therefore, length of each side of square ABCD= 14 units
To find the diagonal of the square, focus on the red shaded triangle (refer to picture 1).
Since squares have equal sides, AD= DC= 14 units
Applying Pythagoras' Theorem,
(AC)²= (AD)² +(DC)²
(AC)²= 14² +14² (subst. known values)
AC= √392 (simplify)
AC= 19.8 units (to 3 s.f.)
The dot plot shows the number of particpants in each age group in a science fair. 11 12 15 16 17
Complete Question
The dot plot shows the number of participants in each age group in a science fair. Which of the following statements is not supported by the dot plot?
A The range is 6.
B The mean of the ages is about 14.4.
C The mode of the ages is 13.
D The median of the ages is 15.
Answer:
(C) The mode of the ages is 13.
Step-by-step explanation:
The given dot plot is attached.
From the dot plot, there is no participant aged 13. Therefore, the mode of the ages cannot be 13. The mode is actually 15.
Therefore, Option C is not supported by the dot plot.
A friend bought 2 boxes of pencils and 8 notebooks for school, and it cost him $11. He went back to the store the same day to buy supplies for his younger brother. He spent $11.25 on 3 boxes of pencils and 5 notenooks. How much would 9 notebooks cost?
Answer:
9 notebooks would cost $6.75
Step-by-step explanation:
How I solved this problem was by taking the data and writing it out first.
During one trip, he got 2 boxes of pencils and 8 notebooks for $11.00
During the second trip, he got 3 boxes of pencils and 5 notebooks for $11.25
This led me to believe that the boxes were definitely more expensive than the notebooks, as there were many notebooks bought during the first trip, yet that trip was cheaper than the second. So, by the process of elimination, I started off the value of the notebooks to be $0.50, and the boxes of pencils to be $3.00, and I continued to experiment with values until I found two values that would work in both scenarios, the values being $2.50 for a box of pencils, and $0.75 for a notebook. (I know there's likely an easier way of doing this, but I haven't done a problem like this in a while, and this method works just fine. It's just a bit more time consuming.)
1st Case: 2(2.50) + 8(0.75) = 11
2 times 2.50 equals 5, and 8 times 0.75 equals 6. 5 added to 6 gives you a sum of 11.
2nd Case: 3(2.50) + 5(0.75) = 11.25
3 times 2.50 equals 7.50, and 5 times 0.75 equals 3.75. 7.50 added to 3.75 gives you a sum of 11.25
Now that it is known how much each notebook costs ($0.75), you would take that value and multiply it by 9, since you're wanting to know how many 9 would cost, and this gives you a product of $6.75.
I hope this helps :)
Answer:
it would cost £6.75
Step-by-step explanation:
PLS HELP John’s patio needs to be re-painted.
He needs orange paint for one portion of his patio and gray paint for the other portion. Determine the total area of the patio that needs orange paint and the total area that needs gray paint. Show all calculations.
Answer:
368 square feet of orange paint.
292 square feet of grey paint.
Step-by-step explanation:
Here is a picture of my work that you can follow to show how i did it. hope this helps!
Mark placed a pool in his backyard, which is enclosed by a triangular fence. The radius of the pool is 20.5 feet.
Answer:
A. 3,864 ft²
B. 1,319.585 ft²
C. 2,544.415 ft²
Step-by-step explanation:
Area of triangle:
½ × 92 × 84
3864 ft²
Area of circle:
pi × r²
3.14 × 20.5²
1319.585 ft²
Difference:
3864 - 1319.585
2544.415 ft²
Hey guys I need help with this exercise can someone plz help me for 20 points?? Also write the explamation to your answer plzz!
Math problem: 13 of the same cookbooks weigh 442 grams. What is the weight of 10 of these books?
Answer:
340
Step-by-step explanation:
442 / 13 = 34
34 × 10 = 340
Answer:
340
Step-by-step explanation:
442 / 13 = 34
34 × 10 = 340
this box holds cereal. how many cubic inches of cereal can it hold the size of the box is 6 in,2 in,12 in
What is the range of the relation?
[(-4,3), (-4,4), (-3,1), (1,1)]
A)
{-4,-4, -3, 1}
B)
{-4, -3, 1}
C)
{1, 1, 3, 4}
D)
{1, 3, 4}
Please help me please
Answer:
⅓
Step-by-step explanation:
Total 6 possible outcomes
Same colour:
White, white
Blue, blue
P(same colour) = 2/6 = 1/3
Answer:
1/3
Step-by-step explanation:
Looking at the possibilities ( there are 6)
There are 2 that have the same shirt and shorts of the same color ( white white and blue blue)
That means we have 2 out of 6 that meet the requirements
2/6 = 1/3
!!15p!!
Which statement explains how to calculate the mean of a set of data?
A
Subtract the smallest from the largest value.
B. Add the largest and the smallest values and divide by 2.
C. Find the sum of all the values and then divide by the number of values.
D. Organize the data from least to greatest and find the value in the middle.
E Organize the data from least to greatest and identify which value is repeated the most often.
Answer:
C
Step-by-step explanation:
Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!
5(x-10)=30-15x
Ox=1
Ox=4
Ox=5
Ox=8
Answer:
x = 4
Step-by-step explanation:
5x-50=30-15x
5x +15x =30+50
20x= 80
Divide both sides of the equation by 20
x = 4
I hope it helps
Will give brainliest answer
Answer
Step-by-step explanation:
To find the area of a shape multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
please mark me as brainliest.
Answer:
[tex]7 units^2[/tex]
Step-by-step explanation:
You can split this irregular shape into a square and a trapezoid.
The formula for a square is:
[tex]A=lw[/tex]
The formula for a right trapezoid:
[tex]A=\frac{1}{2} (h)(a+b)[/tex]
Area of square:
[tex]A=(2)(2)\\A=4[/tex]
Area of right trapezoid:
[tex]A=\frac{1}{2} (2)(1+2)\\A=3[/tex]
Add up the individual areas to find the overall:
4 + 3 = 7
What is the perimeter of this rectangle? Will mark brainliest.
Answer:It's C, 425 ft.
Step-by-step explanation:
You multiply 17 ft. by 25 ft.
Answer:
84 feet
Step-by-step explanation:
there are 4 sides: 17 feet, 17 feet, 25 feet, and 25 feet
to get perimeter you add all the sides together. 17+17=34 then 25+25=50. 50+34=84.
therefore 84 feet is your answer.
Twenty-four 4-inch wide square posts are evenly spaced with 5 feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number.
Answer:
129 1/3
Step-by-step explanation:
According to Alcumus, "There are 20 square posts which are not on a corner, so there are $20/4=5$ square posts on each side, not including the corner posts. Including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts. Altogether the length of a side is $7\left(\frac{1}{3}\right)+6(5)=32\frac{1}{3}$ feet. The perimeter of the square is four times the side length, so the perimeter is $4\cdot 32\frac{1}{3}=\boxed{129\frac{1}{3}}$ feet."
The outer perimeter is 129 1/3 feet.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Twenty-four 4-inch wide square posts are evenly spaced with 5 feet.
So, there are $20/4
=5$ square posts on each side, not including the corner posts.
and, including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts.
Then, the length of a side is
= 7 1/3 + 6(5)
= 32 1/3 feet
and, The perimeter of the square
= 4 x 32 1/3
= 129 1/3 feet
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x ≥ 63.4
x ≤ 96.6
x ≤ 63.4
x ≥96.6
Answer:
x ≤ 63.4
Step-by-step explanation:
.25x+4.15 ≤20
Subtract 4.15 from each side
.25x +4.15 -4.15 ≤ 20-4.15
.25x ≤ 15.85
Divide each side by 15.85
.25x/.25 ≤ 15.85/.25
x ≤ 63.4
Drag the tiles to the correct boxes to complete the pairs.
Match each situation to the simulation that represents it.
Althea has to select 1 student
as the class representative
from 13 students.
Fiona is deciding which of three
forests to research for a
geography project: evergreen,
deciduous, or coniferous.
Jenny is picking a marble from
a jar with two green marbles, six
yellow marbles, and two red
marbles.
rolling a six-sided die
selecting a playing card from
the hearts suit
spinning a spinner divided into
five equal sections
Answer: rolling a six sided die☞︎Fiona forest research
Hearts suit☞︎Althea class representative
Spinner☞︎ Jenny marbles
Step-by-step explanation:
Answer:
Fiona= die
Althea=cards
Jenny=Spinner
Step-by-step explanation:
starting off Fiona has three which can evenly go into six.
Althea has 13 options which matches with the number of suits in the hearts
the Jenny would be spinner because 5 times 2 is 10
Please help
find the area of a trapezoid base 1 measures 20 ft base 2 messages 10 ft height measures 3 ft
Answer:
Step-by-step explanation:
(20+10)*3/2 = 45
Answer:
45 ft squared
Step-by-step explanation:
Area of a trapazoid = a plus b divuded by 2 times h
20 plus 10 divided by 2 equals 15
then 15 times 3 equals 45
5. The length of a rectangle is 5 inches greater than the width.
Question
Answer
a. Write an expression for the width of the rectangle.
b. Write an expression for the length of the rectangle.
multiply
Answer:
see below
Step-by-step explanation:
Let w = width
L = length = w+5
The area is l*w
A = (w+5)*w
A = w^2 +5w
A line passes through the points (4, -1) and (2,3). What is the slope of the line?
Answer:
-2
Step-by-step explanation:
image attached!
HELP ME PLZ ASAP!!!!!
Answer:
x=30, A=132
Step-by-step explanation:
These 2 angels are alternate interior angles so they are equal
5x-18=3x+42
Solve.
2x=60
x=30
Now substitute x into angle A
A=150-18
A=132
Answer:
The variable X should be 30.
Step-by-step explanation:
∠132=5(30)-18° = ∠132=3(30)+42°
Use the grouping method to factor the polynomial below completely.
3x3 + 9x2 + 4x + 12
O A. (3.2 + 4)(x+4)
O B. (3x2+3)(x + 4)
O c. (3x2 + 4)(x+3)
O D. (3x + 3)(x+3)
Answer:
C. (3x^2+4)(x+3)
Step-by-step explanation:
3x^3+9x^2+4x+12
=(3x^3+9x^2)+(4x+12)
=3x^2(x+3)+4(x+3)
=(3x^2+4)(x+3)
Therefore, C. (3x^2+4)(x+3)
The correct factor of the polynomial is,
⇒ (x + 3) (3x² + 4)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 3x³ + 9x² + 4x + 12
Now, We can factor the polynomial as;
⇒ 3x³ + 9x² + 4x + 12
⇒ 3x² (x + 3) + 4 (x + 3)
⇒ (x + 3) (3x² + 4)
Thus, The correct factor of the polynomial is,
⇒ (x + 3) (3x² + 4)
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Help I will mark BRAINLIEST if correct please help
Answer:
[tex](-\frac{1}{4}, \frac{5}{8} )[/tex]
Step-by-step explanation:
If you label the points on the axes, it will show that point K is actually on [tex]\frac{5}{8}[/tex] not [tex]\frac{3}{4}[/tex]