Answer:
21
Step-by-step explanation:
9 plus 10= 21
The ratio shows how many times one value is contained in another value.
The ratio of stamps from Malaysia, Thailand, and New Zealand is
15M : 10T : 12N
The fraction of stamps from Malaysia is 15/37.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
The ratio of the number of stamps from Malaysia to the number of stamps from Thailand is 3:2.
This can be written as,
Number of stamps from Malaysia = 3M
Number of stamps from Thailand = 2T
Multiply both by 5.
Number of stamps from Malaysia = 15M ____(1)
Number of stamps from Thailand = 10T _____(2)
The ratio of the number of stamps from New Zealand to the number of stamps from Thailand is 6:5.
Number of stamps from New Zealand = 6N
Number of stamps from Thailand = 5T
Multiply both by 2.
Number of stamps from New Zealand = 12N _____(3)
Number of stamps from Thailand = 10T _____(4)
From (1), (2), (3), (4) we get,
15M : 10T : 12N
The fraction of stamps from Malaysia.
= 15/37
Thus,
The fraction of stamps from Malaysia is 15/37.
Learn more about ratios here:
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What is the area of rectangle ABCD given the information below?
Answer: Area is 1840units²
Step-by-step explanation:
From the given information,
Firstly, area of a rectangle is given as
A = l × b ie, length multiply by the breadth.
One of the side of the rectangle is known , AD = 16 , now to calculate the other side, we need some calculations.Since FE = 23 and
FD = DE ,,therefore,
DE = 23/2.
From the information, DE = 1/10 of DC. We now find DC the required side for finding the area of the rectangle by simple equation. Since DE = 23/2 , the equation now looks like this to get DC
23/2 = DC/10. Now , solving this
2DC = 23 × 10
2DC = 230
DC = 230/2
= 115.
Now the area of the rectangle will be
A = 16 × 115
= 1840units²
Brainliest to whoever gets this correct! Does this graph show a function? Explain how you know.A.No; there are y-values that have more than one x-value.B.No; the graph fails the vertical line test.C.Yes; the graph passes the vertical line test.D.Yes; there are no y-values that have more than one x-value.
Answer:
B. No; the graph fails the vertical line test.
Step-by-step explanation:
If you hold a pencil up to the graph, the parabola would technically touch the pencil at more than one point. That means it failed the test, and therefore it is not a function.
hope this helped :)
PLEASE HELP!!! How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?
Step-by-step explanation:
The difference between. Each numbers is 5 so, it's answer is 22 and 27
PLEASE HELP!! 2. Helen and Stephen both simplify the exponential expression .
Helen:
Stephen:
Unfortunately, they both made an error. Identify where each person made his or her error and explain in words what he or she did wrong. Then, correctly simplify the expression.
Answer:
We start with the expression:
exp( (4/3)*ln(2) - 1)
Here we can use that:
exp(ln(x)) = x.
and e^(a + b) = e^a*e^b.
the first step here is:
e^((4/3)*ln(2) - 1) = e^((4/3)*ln(2)*e^(-1)
So the first step of Stephen is correct, but the first step of helen is not, you can not simplify the expression in that way.
now, we have that:
a*ln(x) = ln(x^a)
then we can write:
(4/3)*ln(2) = ln(2^(4/3))
and e^(ln(2^(4/3)) = 2^(4/3)
then we have:
e^((4/3)*ln(2)*e^(-1) = 2^(4/3)/e
now we can write this as:
∛(2^4)/e
here is where stephen makes the mistake, he uses the 4 in the rooth and the 3 in the power.
so the expression actually is:
∛(16)/e
a manufacturer of bicycle parts requires that a bicycle chain have a width of 0.3 inch with an absolute deviation of at most 0.0003 inch. write and solve an absolute value inequality that represents the acceptable widths.
Answer:
[tex] |w-0.3| \leq 0.0003[/tex]
And solving we got:
[tex] -0.0003 \leq w-0.3 \leq 0.0003[/tex]
[tex]0.3-0.0003 \leq w \leq 0.3+0.0003[/tex]
[tex] 0.2997 \leq w \leq 0.3003[/tex]
Step-by-step explanation:
For this case we can define the following notation:
[tex] W[/tex] represent the width
And we want a maximum error of 0.0003 so we can set up the following equation:
[tex] |w-0.3| \leq 0.0003[/tex]
And solving we got:
[tex] -0.0003 \leq w-0.3 \leq 0.0003[/tex]
[tex]0.3-0.0003 \leq w \leq 0.3+0.0003[/tex]
[tex] 0.2997 \leq w \leq 0.3003[/tex]
Pls cam someone help me
Extremely confused with both if poss xxxx
Answer:
1. Red red blue blue
2. Red blue red blue
Step-by-step explanation:
A 50 percent chance
Which of the following is parallel to
2Y = 6X + 4?
A. Y = -3X + 3
B. Y = 3X + 4
C. Y = x + 3
D. Y = -2X - 3
E. Y= 1/2 X + 3
Answer:
B. y = 3x + 4
Step-by-step explanation:
Step 1: Find slope-intercept form of 1st equation
2y = 6x + 4
2y/2 = 6x/2 + 4/2
y = 3x + 2
A parallel line has the same slope but different y-intercept:
y = -3x + 3 (No, different slope)
y = 3x + 4 (Yes, same slope, different y-int)
y = x + 3 (No, different slope)
y = -2x - 3 (No, different slope)
y = 1/2x + 3 (No, different slope)
Please answer this correctly
Answer:
60%
Step-by-step explanation:
Total Cards = 5
Even Numbers = 3
P(even) = 3/5
In %age:
=> 60%
Answer:
60%
Step-by-step explanation:
The numbers that are even from the list are 2, 4, and 6.
3 numbers are even out of 5 total numbers.
3/5 = 0.6
P(even) = 60%
What is the area of the triangle?
9 4 12
Answer:
13.636
Step-by-step explanation:
The area can be found using Heron's formula:
A = √(s(s-a)(s-b)(s-c))
where s=(a+b+c)/2.
For the given triangle, ...
a=9, b=4, c=12, s=(9+4+12)/2 = 12.5
A = √(12.5(3.5)(8.5)(0.5)) = √185.9375 ≈ 13.636
The area of the triangle is about 13.636 square units.
Answer:
24 units\
Step-by-step explanation:
calculate the force acting on a man of mass 600g running to a tree through a distance of 20m
120N
f= mgh
=o. 6x10x20
= 120N
Step-by-step explanation:
given,
mass ( m)=0.6kg
gravity=9.8 m/s^2
by the formula of force,
f= ma
=0.6×9.8
therefore force is 5.88 n.
The shape in the figure is constructed from several identical squares. If the side of each square is 1 unit, what is the area and the perimeter of the shape?
Answer:
Area = 7 square units
Perimeter = 14 units
Step-by-step explanation:
The shape is made up of 7 identical squares and, we are told the side length of each square is 1 unit.
==>Find area of the shape by calculating the area of 1 square, then multiply by the number of square used in the construction.
Thus, area of 1 square = s² = 1² = 1 square units.
Area of shape = 7 × 1 square units = 7 square units
==>Find the Perimeter of the shape by adding all the lengths of the boundary formed by the square to make up the shape.
(Check attachment to understand how we got the measurement of the boundary)
The perimeter = 1 + 1 + 1 + ½ + ½ + 1 + 1 + 1½ + ½ + 1 + 1 + 4 = 14 units
PLEASE HELP I’LL MARK BRAINLIEST If 1 equals 1 2/3 how much does 1 1/2 equal?
Answer:
0.9 (9/10)
Step-by-step explanation:
(see picture)
Please answer this correctly
Answer:
1/2
Step-by-step explanation:
The non-even numbers are 1, 3, and 5 on the dice.
3 numbers out of 6.
3/6 = 1/2
Answer:
1/2
Step-by-step explanation:
Total sides of 6-sided die = 6
Numbers not even = 3
Probability of not getting an even = 3/6
=> 1/2
Which expression is a trinomial? x + y – 13 4xyz
A human resources specialist is investigating a government claim that the unemployment rate is less than 5%. To test this claim, a random sample of 1500 people is taken and its determined that 61 people are unemployed. The following is the setup for this hypothesis test:
H0:p=0.05
Ha:p<0.05
Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.
The following table can be utilized which provides areas under the Standard Normal Curve:
z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
-1.8 0.036 0.035 0.034 0.034 0.033 0.032 0.031 0.031 0.030 0.029
-1.7 0.045 0.044 0.043 0.042 0.041 0.040 0.039 0.038 0.038 0.037
-1.6 0.055 0.054 0.053 0.052 0.051 0.049 0.048 0.047 0.046 0.046
-1.5 0.067 0.066 0.064 0.063 0.062 0.061 0.059 0.058 0.057 0.056
-1.4 0.081 0.079 0.078 0.076 0.075 0.074 0.072 0.071 0.069 0.068
Answer:
P-value =0.062
At a signficance level of 0.05, there is not enough evidence to support the claim that the unemployment rate is less than 5%.
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that the unemployment rate is less than 5%.
Then, the null and alternative hypothesis are:
[tex]H_0: \pi=0.05\\\\H_a:\pi<0.05[/tex]
The significance level is 0.05.
The sample has a size n=1500.
The sample proportion is p=0.041.
[tex]p=X/n=61/1500=0.041[/tex]
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.05*0.95}{1500}}\\\\\\ \sigma_p=\sqrt{0.000032}=0.0056[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.041-0.05+0.5/1500}{0.0056}=\dfrac{-0.0087}{0.0056}=-1.5401[/tex]
This test is a left-tailed test, so the P-value for this test is calculated as:
[tex]\text{P-value}=P(z<-1.5401)=0.062[/tex]
As the P-value (0.062) is greater than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the unemployment rate is less than 5%.
The four-member math team at Pecanridge Middle School is chosen from the math club, which has three girls and five boys. How many different teams made up of two girls and two boys could be chosen?
Answer:
30 ways
Step-by-step explanation:
Given the following :
Number of boys in school (n1) = 5
Number of girls in school (n2) = 3
Total number of team members to be selected = 4
Number of boys required in team(r1) = 2
Number of girls required in team(r2) = 2
How many different teams made up of two girls and two boys could be chosen?
= (2 boys from 5) * (2 girls from 3)
Using combination :
5C2 * 3C2
Recall :
nCr = n! ÷ (n-r)! r!
5C2 = 5! ÷ (5-2)! 2!
5C2 = 5! ÷ 3!2!
5C2 = (5*4) / 2 * 1 = 10ways
3C2 = 3! ÷ (3-2)! 2!
3C2 = 3! ÷ 1!2!
3C2 = (3) / 1 = 3ways
3C2 = 3/1 = 3ways
10 * 3 = 30 ways
How do we write this as a power? [tex]4(\sqrt{7})x^{3[/tex]
Answer:
It might be 4 * [tex]7^{1/2}[/tex] * [tex]x^{3}[/tex]
Discuss Mason's notion that you are to be an engineer first and a statistician second. What does that mean to you in terms of how you think about the career you are studying to begin, and how do you think this class might impact a job interview you might ultimately go on later in your studies
Answer:
The answer is explained below
Step-by-step explanation:
What use are statistics if there is no engineer to use them? In other words, a statistician corrects, improves, reinforces, and supports an engineer in building / designing / developing a new product and / or improving an existing product.
The statistician provides a special kind of vision through which I see the same problem in a completely different vision. So you can see the strengths, weaknesses of my product and the promise of improvements that can be made.
Each class of statistics is essential for a student to see and understand a problem in a whole new way where it is much easier to understand information.
What is the answer? ACB ~ EFD
Answer:
y=4solution,
[tex] \frac{ac}{ef} = \frac{cb}{fd} \\ or \: \: \frac{12}{y} = \frac{15}{5} \\ or \: 15 \times y = 12 \times 5( \: cross \: multiplication) \\ or \: 15y = 60 \\ or \: y = \frac{60}{15} \\ y = 4[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
The value of y is 4
Step-by-step explanation:
What is similarity ?
In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
Given,
ΔACB~ΔEFD
The proportional sides are equal.
[tex]\frac{AC}{EF}=\frac{CB}{FD}=\frac{AB}{DE} \\\frac{12}{y}=\frac{15}{5} \\y=12*\frac{5}{15}\\\\ y=4[/tex]
To know more about similarity, similar here
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please simplfy this equation
Answer:
0
Step-by-step explanation:
√12 can be rewritten as √2²·3 = 2√3
√75 can be rewritten as √5²·3 = 5√3
2/5 * 5 = 2
so
2√3 - 2/5 * 5√3 = 2√3 - 2√3 = 0
Answer:
0
Step-by-step explanation:
Please answer this correctly
Answer:
4
Step-by-step explanation:
PLEASE HELP ME OUT
Move point b to different locations in the coordinate plane. What do you notice about the relationship between BG and GF? Explain in terms of <BGF
Answer:
BG is always perpendicular to GF. The measure of angle BGF is always 90 degree
Step-by-step explanation:
Answer:
is always perpendicular to . The measure of is always 90°.
Step-by-step explanation:
Plato Awnser
help me pls help me pls
Answer:
It should be D if not Than A
Answer:
it should be D
Step-by-step explanation:
Two students use different methods to solve this multiplication problem: 1\3 × −6 3\4 Read each of their methods below and then enter numbers to correctly complete their work. please help will mark the brainliest 12 pt
Answer:
- 2 1/4
Step-by-step explanation:
Methods for solving multiplication problems
I will go into details and give methods to solve with and the final answer.
: 1\3 × −6 3\4 = -1/3 ×( (6*4)+3)/4
1/3 × -6 3/4 = -1/3 ×(24+3)/4
1/3 × -6 3/4 =- 1/3 ×(27/4)
1/3 × -6 3/4 = -27/(3*4)
1/3 × -6 3/4 = -27/(12)
1/3 × -6 3/4 =-( 9/4) * 3/3
1/3 × -6 3/4 = -9/4
1/3 × -6 3/4 =- 2 1/4
OR by direct division
1/3 × -6 3/4 =( -6 3/4)/3
1/3 × -6 3/4 = -6/3 (3/4)/3
1/3 × -6 3/4 = -2 1/4
Consider the following. x = 6 sin y , 0 ≤ y ≤ π, x = 0; about y = 4
(a) Set up an integral for the volume V of the solid obtained by rotating the region bounded by the given curve about the specified axis.
(b) Use your calculator to evaluate the integral correct to four decimal places.
Answer:
12pi(8-pi), or
183.158 to third decimal place
Step-by-step explanation:
The geometry is indicated in the attached figure.
A. by integration
We will find the volume of the solid by the method of shells, i.e. we will integrate strips parallel to the axis of rotation to form many thin shells, then integrate to get the sum of all these shells.
For each shell, of thickness dy, we integrate strips of length located at y
L(x) = y(x)
and area
L(x)dy
Each strip is at a distance of (4-y) from
for which the volume of each shell equals
dV = 2*pi*(4-y)*L(x)dy = 2*pi*(4-y)*y(x) dy
The total volume of the solid can be obtained by integrating y from 0 to pi
integral( dV ) from 0 to pi
= integral (2*pi*(4-y)*y(x) dy) for y from 0 to pi
= 12*pi(-sin(y)+y*cos(y)-4*cos(y)) for y from 0 to pi
=12(8-pi)*pi
= 183.158
B. Using Pappus theorem
Pappus theorem simplifies the calculation of volume of revolution by multiplying the area of the rotating region by 2pi times the distance between the centroid and the rotation axis.
Here the area of the figure is A=2*6=12, (2 is the area under the sine curve from 0 to pi), or
A = integral (6sin(x))dx, x from 0 to pi
= 6 cos(x), x from 0 to pi
= 6(1- (-1))
= 12
Distance from centroid to axis of rotation = (4-pi/2)
Volume = 2*pi*A*(4-pi/2) = 2*pi*12*(4-pi/2)
= 12pi(8-pi)
=183.158 as before
What value of x is in the solution set of 4x – 12 5 16 + 8x?
-10
-9
-8
-7
Answer:
[tex] 4x-12= 16 +8x[/tex]
And we can subtract 4x in both sides and we got:
[tex] -12 = 16 +4x[/tex]
Now we can subtract in both sides 16 and we got:
[tex] -28 = 4x[/tex]
And if we divide both sides by 4 we got:
[tex] x = -7[/tex]
And the best solution would be:
-7
Step-by-step explanation:
For this case we assume the following equation:
[tex] 4x-12= 16 +8x[/tex]
And we can subtract 4x in both sides and we got:
[tex] -12 = 16 +4x[/tex]
Now we can subtract in both sides 16 and we got:
[tex] -28 = 4x[/tex]
And if we divide both sides by 4 we got:
[tex] x = -7[/tex]
And the best solution would be:
-7
8. The sides of AABC inscribed in a circle are equidistant from the center,
Tricia says that AABC must be equilateral. Which explains whether Tricia is
correct? *
A. Tricia is correct because the sides of the triangle are congruent since they are
equidistant from the center of the circle,
B. Tricia is incorrect because the sides of the triangle are different lengths since the
chord of the circle can be any length,
C. Tricia is correct because the sides of the triangle are congruent since they are
inscribed in a circle,
D. Tricia is incorrect because the triangle has two congruent sides since one chord
has to be a diameter
PLEASE HELP ME
Answer:
Step-by-step explanation:
If the sides of triangle ABC inscribed in a circle are equidistant from the center, it means that the distance of each side from the center of the circle is the same. This means that the distance from the center of the circle to any point on a side of the triangle is the same for all 3 sides of the triangle.
If Tricia says that triangle ABC must be equilateral, then
A. Tricia is correct because the sides of the triangle are congruent since they are equidistant from the center of the circle,
A swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour. The depth of the water after 5 hours is 32 inches. Write the equation for this function in point slope form
Answer:
The equation in point slope form is [tex]y - 47\,in = \left(-3\,\frac{in}{h}\right)\cdot (t-0\,h)[/tex]
Step-by-step explanation:
Since the swimming pool is being drained at a constant rate, the equation of the process must be a first-order polynomial (linear function), where depth of water decrease as time goes by. The form of the expression is:
[tex]y = m \cdot t + b[/tex]
Where:
[tex]t[/tex] - Time, measured in hours.
[tex]b[/tex] - Initial depth of the water in swimming pool (slope), measured in inches.
[tex]m[/tex] - Draining rate, measured in inches per hour.
[tex]y[/tex] - Current depth of the water in swimming pool (x-Intercept), measured in inches.
If [tex]m = -3\,\frac{in}{h}[/tex] and [tex]y (5\,h) = 32\,in[/tex], the initial depth of the water in swimming pool is:
[tex]b = y - m\cdot t[/tex]
[tex]b = 32\,in -\left(-3\,\frac{in}{h} \right)\cdot (5\,h)[/tex]
[tex]b = 47\,in[/tex]
The equation in point slope form is:
[tex]y-y_{o} = m \cdot (t-t_{o})[/tex]
Where [tex]y_{o}[/tex] and [tex]t_{o}[/tex] are initial depth of the water in swimming pool and initial time, respectively. Then, the equation in point slope form is:
[tex]y - 47\,in = \left(-3\,\frac{in}{h}\right)\cdot (t-0\,h)[/tex]
45 points! Yay An investment may earn interest using a simple interest rate or a compound interest rate. This expression can be used to find the value of an investment that is earning simple interest: P(1+rt) This expression can be used to find the value of an investment that is earning compound interest: P(1+r)t Use the drop-down menus to complete the statements about simple and compound interest. For an investment earning(simple interest,compound interest) , the interest is applied each year to the principal and to any interest that already accrued. For an investment earning(simple interest, compojnd interest) , the interest is applied each year only to the principal. Please help I'm literally the dumbest person i know •,-,•
Answer:
1. Compound Interest
2. Simple Interest
Step-by-step explanation:
Simple Interest multiplies the interest rate on the principal rate by the number of days.
Compound Interest multiplies the interest rate on the principal rate and existing rate by periods.
Answer:
:)
Step-by-step explanation:
Help me find volume for this given radius please
Answer:
see below
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
= 4/3 pi ( 7)^3
= 1372/3 pi in^3
Using 3.14 for pi
V =1436.0266666 in^3
Using the pi button
1436.75504 in^3