Answer:
1.59 change
Step-by-step explanation:
2.78*2=5.56
5.56+2.85=8.41
10.00-8.41=1.59
Pls Mark As Brainliest
Answer:
£1.59
Step-by-step explanation:
Cup of Coffee:
=>2 cups of coffee = 2(£2.78)
=> 2 cups of coffee = £5.56
Piece of cake = £2.85
Total cost = 5.56 + 2.85
=> £8.41
Now, the change:
=> £10-£8.41
=> £1.59
I need help pleaseee!!
Answer:
(x - [-1])² + (y - [-1])² = [13]
Step-by-step explanation:
If P and Q are the end-points of the diameter PQ, midpoint of the segment PQ will be the center of the circle. (Definition of the center of a circle)
Midpoint of a segment having extreme ends [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex]
Coordinates of the center = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Since, extreme ends of the diameter are P(-4, -3) and Q(2, 1)
Center of the circle = [tex](\frac{-4+2}{2},\frac{-3+1}{2} )[/tex]
= (-1, -1)
Radius of the circle = Distance between the center and Q,
Since distance between the two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Radius of the circle = [tex]\sqrt{(-1-2)^2+(-1-1)^2}[/tex]
= [tex]\sqrt{9+4}[/tex]
= [tex]\sqrt{13}[/tex]
Equation of the circle will be,
(x - h)² + (y - k)² = r²
Where (h, k) is the center and 'r' is the radius of the circle,
(x - [-1])² + (y - [-1])² = [13]
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
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
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
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
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
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%.
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 :)
In the past, 26% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm has been charged with conducting a sample survey to obtain more current information.(a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.04? Use a 95% confidence level. (Round your answer up to the nearest whole number.)(b) Repeat part (a) using a 99% confidence level. (Round your answer up to the nearest whole number.)
Answer:
(Round your answer up to the nearest whole number.)(b) Repeat part (a) using a 99% confidence level. (Round your answer up to the nearest whole number.)
Step-by-step explanation:
What is 3.1415 + 6.25 rounded to the nearest thousandths place?
Answer:
9.392
Step-by-step explanation:
3.1415 + 6.25 = 9.3915
Rounded to the thousandths place, this would be ≈ 9.392
The sum of the given decimal numbers is rounded to the nearest thousandths place as 9.392.
Given that, 3.1415 + 6.25.
Here, sum of the given decimals is 9.3915.
Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
To round 9.3915 to the nearest thousandths consider the ten thousandths' digit of 9.3915, which is 5. So, the thousandths place value of 9.3915 increase by 1 and ten thousandths place becomes 0.
That, 9.392
Therefore, the sum of the given decimal numbers is rounded to the nearest thousandths place as 9.392.
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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)
I select two cards from a deck of 52 cards and observe the color of each (26 cards in the deck are red and 26 are black). Which of the following is the most appropriate sample space S for the possible outcomes?
a. S={red, black}
b. S={(red, red), (red, black), (black, red), (black, black)} where, for example, (red, red) stands for the event "the first card is red and the second card is red."
c. S={0,1, 2}
d. All of the above
Answer:
b. S={(red, red), (red, black), (black, red), (black, black)} where, for example, (red, red) stands for the event "the first card is red and the second card is red."
Step-by-step explanation:
The sample space S for the possible outcomes reflects all possible cmobinations linked to the event of selecting the two cars.In any case, you have to take into account all possible scenarios from te event of selecting two cars. Because there are two possible alternatives of color for the cars, when picking two cars, you can face the situations: S={(red, red), (red, black), (black, red), (black, black)}.The most appropriate sample space S for the possible outcomes will be S={(red, red), (red, black), (black, red), (black, black)} where, for example, (red, red) stands for the event "the first card is red and the second card is red."
Option B is correct.
Sample space is defined as the total number of outcomes in an eventGiven that two cards are selected from a pack of 52 cards card where 26 cards in the deck are red and 26 are blackNote that the colors are being observed, hence the combination of colors we can select will be (red, red), (red, black), (black, red), (black, black)The most appropriate sample space S for the possible outcomes will be S={(red, red), (red, black), (black, red), (black, black)} where, for example, (red, red) stands for the event "the first card is red and the second card is red."
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The rectangle is three times its width.
If the perimeter of the rectangle is 80in, find its length and width.
Answer:
Length= 30 in
Width= 10 in
Step-by-step explanation:
Let the width of the rectangle be x in.
Length of rectangle
= 3 (width)
= 3x
Perimeter of rectangle= 2(length) +2(width)
80= 2(3x) +2(x)
80= 6x +2x
8x= 80 (simplify)
x= 80 ÷8 (÷8 on both sides)
x= 10
Thus width of rectangle= 10 in
Length of rectangle
= 3(10)
= 30 in
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
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
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:
Transformation of exponential functions
Answer:
first option
Step-by-step explanation:
It's up by 4 units because because the +4 is outside of the exponent and also, it is a +4 not -4 which indicates that the translation is up.
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]
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Point C ∈
AB
and AB = 33 cm. Point C is 2 times farther from point B than point C is from point A. Find AC and CB.
Answer:
AC = cm, CB = cm
Answer:
AC: 11 cmCB: 22 cmStep-by-step explanation:
Given:
AC + CB = 33
CB = 2AC
Find:
AC, CB
Solution:
Using substitution, we have ...
AC +2AC = 33
AC = 33/3 = 11
CB = 2·11 = 22
AC = 11 cm; CB = 22 cm.
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%
If 7 out of 10 people brush thier teeth every night, which of the following represents the percent of people who do not brush thier teeth every night?
Answer: 30 percent of people who do not brush theit teeth every night.
Step-by-step explanation:
Given : 7 out of 10 people brush their teeth every night.
That means 3 out of 10 people do not brush their teeth every night. (7-10=3)
Now, the percent of people who do not brush their teeth every night = [tex]\dfrac{\text{Number of people do not brush their teeth}}{\text{Total people}}\times100\%[/tex]
[tex]=\dfrac{3}{10}\times100\%\\\\=30\%[/tex]
Hence, 30 percent of people who do not brush theit teeth every night.
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:
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.
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:
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 of the following answer choice is a possible solution to the inequality 4y>10?
A. 7
B. 1/4
C. 2
Please prove your answer.
Answer:
(A) 7
Step-by-step explanation:
[tex] 4y > 10[/tex]
[tex]y > \frac{10}{4} [/tex]
[tex]y > 2.5[/tex]
Since Y is more than 2.5,
the only possible solution is 7, which is (A)
Please answer this correctly
Answer:
2/5
Step-by-step explanation:
Let's find the probability of each condition first.
For P(4), there is only one option: 4. This is 1 out of 5.
For P(even), this includes 4 and 6. However, we already had 4 from our last condition so we can remove this option. This is again 1 out of 5.
Adding them together, we will get 2/5.
The answer is 2/5
A barrel of crude oil has a volume of 42 gallons, only approximately 45% of which is processed into gasoline. If your car achieves 31 mi/gal, and you drive 36,000 miles in one year, how many barrels of crude oil are required to run your car for a year?
The number of barrels of crude oil required to run the car for a year is 61.4
The information given is as follows;
Percentage of crude oil processed into gasoline = 45%
The distance achieved per gallon by car = 31 mi/gal
Distance driven per year = 36,000 miles
Hence, the number of Gasoline usage in one year,
[tex]\text{Gasoline usage in one year} = \dfrac{\text{Distance drievn per year}}{\text{distance achieve per gallon by car}}[/tex]
[tex]\text{Gasoline usage in one year} = \dfrac{36000 \ \text{miles}}{31\ \text{miles/gallon}}[/tex]
[tex]\text{Gasoline usage in one year} = 1,161 \ \text{gallons}[/tex]
Here, Percentage of crude oil processed into gasoline = 45%
Hence, where 45% of the crude oil produces 1000, the volume of crude, x, from which the gasoline is sourced becomes;
[tex]x \times 45\% = 1161[/tex]
[tex]x \times \dfrac{45}{100} = 1161[/tex]
[tex]45x = 1161\times 100[/tex]
[tex]45x = 1,16,100[/tex]
[tex]x = 2580[/tex] gallons of crude
Since 1 barrel of crude oil is approximately 42 gallons of crude oil.
Hence, we have;
[tex]2580 \ \text{gallons of crude }[/tex] = [tex]\dfrac{2580}{42} \text{ barrels of crude}[/tex]
= [tex]61.4[/tex] [tex]\text{ barrels of crude}[/tex]
Hence the number of barrels of crude oil required to run the car for a year = [tex]61.4[/tex] [tex]\text{ barrels of crude}[/tex]
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Approximately 61.44 barrels of crude oil are required to run your car for a year.
To determine the number of barrels of crude oil required to run your car for a year, we'll need to calculate the total amount of gasoline consumed and then convert that into the equivalent volume of crude oil.
Volume of a barrel of crude oil: 42 gallons
Approximately 45% of crude oil is processed into gasoline
Car fuel efficiency: 31 miles per gallon
Distance driven in a year: 36,000 miles
First, let's calculate the total amount of gasoline consumed in a year. We'll divide the total distance driven by the car's fuel efficiency:
Gasoline consumed = Distance driven / Fuel efficiency
Gasoline consumed = 36,000 miles / 31 miles per gallon
Gasoline consumed ≈ 1161.29 gallons
Next, we need to calculate the equivalent volume of crude oil required to produce this amount of gasoline. Since only approximately 45% of crude oil is processed into gasoline, we'll multiply the gasoline consumed by the reciprocal of 45% (or 0.45) to account for this conversion:
Equivalent volume of crude oil = Gasoline consumed / Conversion factor
Equivalent volume of crude oil = 1161.29 gallons / 0.45
Equivalent volume of crude oil ≈ 2580.64 gallons
Finally, to determine the number of barrels of crude oil required, we'll divide the equivalent volume of crude oil by the volume of a barrel (42 gallons):
Number of barrels of crude oil = Equivalent volume of crude oil / Volume of a barrel
Number of barrels of crude oil = 2580.64 gallons / 42 gallons
Number of barrels of crude oil ≈ 61.44 barrels
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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,