If he makes his trade on the day with the least favorable exchange rate, the amount received is ins 38.35
How to determine the amount received?From the complete question, we have the following parameters:
£1= 0.47 --- least favorable rate
Given that the uses a charge of 8%, the amount received when he converts £88.65 is calculated using:
Amount = Rate * Amount * (1 - 8%)
So, we have:
Amount = 0.47 * 88.65 * (1 - 8%)
Evaluate the product
Amount = 38.33
The closest amount to 38.33 is 38.35.
Hence, the amount received is ins 38.35
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a bag contains only red and green counters. in total bag contains 48 counters, of which 20 are red. write, as a ratio, the number of red counters to the number of green counters. give your answering its simplest form.
Total number of Counters = 48
Red Counters = 20
green counters = 48 - 20
⠀⠀⠀⠀⠀⠀⠀⠀⠀= 28 .
Ratio of Red counters to that the number of green counters = 20 : 28
= 20/28
[tex] = \huge \frac{20}{28} [/tex]
The ratio of the number of red counters to the number of green counters will be 5/7.
What is the ratio?The utilization of two or more additional numbers that compares is known as the ratio.
A bag contains only red and green counters. A total bag contains 48 counters, of which 20 are red.
The number of green counters is calculated as,
⇒ 48 - 20
⇒ 28
The ratio of the number of red counters to the number of green counters is calculated as,
Ratio = 20 / 28
Ratio = 5/7
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Please help 30 mins left
Using the dotplot and the difference in mean distances
from the samples, is there convincing evidence that
the new golf ball travels farther than the original golf
ball?
A company that manufactures golf balls produces a
new type of ball that is supposed to travel significantly
farther than the company's previous golf ball. To
determine this, 40 new-style golf balls and 40 original-
style golf balls are randomly selected from the
company's production line on a specific day. A golf pro
randomly selects a ball, not knowing which type is
chosen, and hits it. The difference in mean distances
traveled (new - original) for the samples was 4.9 feet
Assuming there is no difference in distance traveled
between the two types of golf balls, 200 simulated
differences in sample means are displayed in the
dotplot
Simulated Differences in
Mean Distances of Golf Balls
Yes, because a difference in mean distances of 4.9
feet or more occurred only 6 out of 200 times
meaning the difference is statistically significant and
there is convincing evidence the new golf ball
travels farther than the original golf ball.
Yes, because a difference in mean distances of 4.9
feet or less occurred 194 out of 200 times, meaning
the difference is statistically significant and there is
convincing evidence the new golf ball travels farther
than the original golf ball.
O No, because a difference in mean distances of 4.9
feet or more occurred 6 out of 200 times meaning
|
Answer: A. Yes, because a difference in mean distances of 4.9 feet or more occurred only 6 out of 200 times, meaning the difference is statistically significant and there is convincing evidence the new golf ball travels farther than the original golf ball.
Step-by-step explanation: took the test (look at the graph as well)
Work out the length of x
(The diagram is not drawn accurately)
Answer:
x = 7
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 24² = 25²
x² + 576 = 625 ( subtract 576 from both sides )
x² = 49 ( take square root of both sides )
x = [tex]\sqrt{49}[/tex] = 7
Hey ! there
Answer:
Length of x is 7 cmStep-by-step explanation:
In this question we are provided with a right angle triangle having hypotenuse 25 cm , base 24 cm and perpendicular x . And we are asked to find the length of x .
For finding the length of x we'll use Pythagorean Theorem . Pythagorean Theorem states that sum of square of perpendicular and base is equal to the square of hypotenuse in right angle triangle that is ,
[tex] \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]
Where ,
H refers to HypotenuseP refers to PerpendicularB refers to BaseSOLUTION : -
Here in the triangle ,
Hypotenuse is 25 cmBase is 24 cmPerpendicular is xApplying Pythagorean Theorem :
[tex] \quad \longmapsto \qquad \: (25) {}^{2} = (x ){}^{2} + (24) {}^{2} [/tex]
On squaring 24 and 24 we get ,
[tex] \quad \longmapsto \qquad \:625 = (x) {}^{2} + 476[/tex]
Subtracting 576 on both sides :
[tex] \quad \longmapsto \qquad \:625 - 576 = (x) {}^{2} + \cancel{ 576} - \cancel{576}[/tex]
We get ,
[tex] \quad \longmapsto \qquad \:49 = (x) {}^{2} [/tex]
Applying square root on both sides :
[tex] \quad \longmapsto \qquad \: \sqrt{49} = \sqrt{(x) {}^{2} } [/tex]
We get ,
[tex] \quad \longmapsto \qquad \: \blue{ \underline{\boxed{\frak{7 \: cm = x}}}} \quad \bigstar[/tex]
Henceforth , length of x is ❝ 7 cm ❞ .Verifying : -
We are verifying our answer by substituting all the values of hypotenuse , perpendicular and base in Pythagorean Theorem . So ,
( 25 )² = ( 7 )² + ( 24 )²625 = 49 + 576625 = 625L.H.S = R.H.SHence , Verified .Therefore, our answer is correct .
#Keep LearningSelect the expression that simplifies to 1 / x^1/8
Answer:
[tex]\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}[/tex]
Step-by-step explanation:
[tex]\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}\\\\\\=\left[ \left(\displaystyle x^{-\tfrac 35} \right)^{\tfrac 13 \right]^{\tfrac 58}\\\\\\=\left( \displaystyle x^{-\tfrac 35}\right)^{\tfrac 5{24}}\\\\\\=x^{ \displaystyle -\tfrac{3}{24} \right}\\\\\\=x^{\displaystyle -\tfrac 18 }\\\\\\=\dfrac 1{x^{\tfrac 18}}[/tex]
Claudia is making a candle by pouring melted wax into a mold in the shape of a cylinder. The radius of the cylinder’s base is 4 cm, and the height of the cylinder is 9 cm. To get the wax for the candle, Claudia melts cubes of wax that are each 3 cm by 3 cm by 3 cm. How many of the wax cubes will Claudia need to purchase to make the candle? (Note that Claudia is not able to purchase partial cubes). Show all your work.
17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Volume of cylinder = π * radius² * height
Volume = π * 4² * 9 cm = 452.16 cm³
Volume of the cube = 3 cm * 3 cm * 3 cm = 27 cm³
Number of cubes needed = 452.16 cm³ / 27 cm³ = 16.75
17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³
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The cycle of a traffic light at an intersection of two streets is 50 seconds green, 6 seconds yellow, and 14 seconds red. If you reach the intersection at a random time, what is the probability that the light is red?
Answer:
the probability that the light is red would be 5 or 5%
Step-by-step explanation:
if we add all of the possible outcomes together like so :
50+6+14 we will get 70
now we know we want to find out the probabilty of it being red we need to divide 70 by 14 and we get 5 or 5% your welcome and me as a freind if you need more help or add me on messenger the 1 carlos is my name
The system of equations shown below is graphed on a coordinate grid:
3y + x = 6
2y − x = 9
Which statement is true about the coordinates of the point that is the solution to the system of equations? (5 points)
Hint: Add the two equations and use inverse operations. When you have your y-value, plug it into any of the original equations to find your x-value.
a
It is (−6, 4) and lies on both lines.
b
It is (−3, 3) and lies on both lines.
If x > 3, Which of these numbers could be a possible number for x?
A. 3
B. -22
C. 0
D. 4
(will mark brainliest)
Answer:
D. 4
Step-by-step explanation:
x is greater than 3, which means x has to be a higher number. the only option here that is higher than 3 is 4.
Answer:
D
Step-by-step explanation:
the Awnser is D because x is greater than three and 4 is the only number listed that is larger than 3
1. Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than . Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. (what do I type out or draw out)
Answer:
So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
Use the following bond listing for Pacific Bell to answer the following:
Bonds
Cur. Yld. Vol Close
Net.Chg.
5 6.55
5.
1
1
PacBell 6- 34
99-
8
4 8
+一
How many bonds were traded during this session?
a.
34
b. 6.55
C. 5
d. 1
997
Answer:
D- 99 1/4 ; $992.50
Step-by-step explanation:
you use the list of bonds to eventually get D- 99 1/4
What is the third angle of a right triangle if one of the angles measures 51.1 degrees
Answer:
38.9°
Step-by-step explanation:
The three angles in a triangle add up to 180°. Also, a right triangle has a right angle in it. A right angle is 90°.
90° + 51.1° + x = 180°
141.1 + x = 180°
subtract 141.1°
x = 38.9°
Find the surface area of a square pyramid with side length 3 km and slant height 3
Answer:
27 km²
Step-by-step explanation:
Surface Area :
Area (4 triangles) + Area (square)4 x 1/2 x 3 x 3 + 3 x 318 + 927 km²Answer:
Total surface area = 27 km²
Step-by-step explanation:
The surface area of a square based pyramid comprises:
4 congruent triangles (sides)1 square (base)Area of a triangle = 1/2 × base × height
= 1/2 × 3 × 3
= 4.5 km²
Area of a square = (side length)²
= 3²
= 9 km²
Total surface area = 4 triangles + square base
= (4 × 4.5) + 9
= 18 + 9
= 27 km²
What is the volume of the following rectangular prism? 4 units 2 1/8 units
the volume of the prism is simply the area of any of the sides times the length, so in this case the shaded area times 4.
[tex]\stackrel{area}{\left( 2\frac{1}{8} \right)}(\stackrel{length}{4})\implies \left( \cfrac{17}{8} \right)(4)\implies \cfrac{17}{2}\implies 8.5~units^3[/tex]
Answer: 8 1/2
Step-by-step explanation: Khan
The two tables give the number of pints of red and blue paint that are used to make different amounts of two shades of purple paint.
Purple #1 is made by mixing red and blue in a ratio of 1 : 2.
Purple #2 is made by mixing red and blue in a ratio of 1 : 3.
Use the drop-down menus to complete each sentence below.
The two highlighted rows show that for the same amount of blue, Purple #1 uses more red than Purple #2.
This means that Purple #1 is a redder shade of purple than Purple #2.
Purple #2 is a bluer shade of purple than Purple #1.
Step-by-step explanation:
The two highlighted rows show that for the same amount of blue, Purple #1 uses more red than Purple #2.
Making blue's quantity as 3 parts for purple #1 implies red part becomes 1.5 to maintain the ratio 1:2
Purple #1 has 1/3 parts red and 2/3 parts blue. Purple #2 has 1/4th part red and 3/4th part blue.
Hence, Purple #1 is a redder shade of purple than Purple #2.
From the above explanation, Purple #2 is a bluer shade of purple than Purple #1.
Sure hopes this helps you :)
//❀ ❀//
Sarai has to read 120 pages over the next 6 days and wants to read the same number of pages each day. Which inequality will help her know at least how many pages to read each day
Answer:
1st one 6x is greater than or equal to 120
Step-by-step explanation:
because it sys she needs to read 120 so it cant be 6x is less than or equal to 120
Identify the values of coefficients a, b, and c in the quadratic equation x^2-2x+7=0
Answer:
a= +1
b= -2
c= +7
Step-by-step explanation:
a= coefficient of xX^2 = +1
b= coefficient of X = -2
c = the constant term= +7
I NEED HELP WITH THIS QUESTION PLEASE
Step-by-step explanation:
it says f(-4).
so, x = -4.
into what function segment is this "falling" ?
well, into the x < 3 segment, right ? because -4 < 3.
so, we need to use
f(x) = x² - 5
f(-4) = (-4)² - 5 = 16 - 5 = 11
If I have number that is prefixed, such as [tex]5[/tex] x [tex]10^{+5}[/tex]meters... will I prefix it to be 5Mm (mega meters) ???
Answer:
No.
Step-by-step explanation:
One megameter is [tex]10^6[/tex] meters. What you have shown is [tex]10^5.[/tex]
A Ferris wheel is designed in a way that the height h(t), in feet, of the seat above the
ground at time in seconds, t, is modeled by the function: h(1) - 60 - 55 sin
10
How
long does the ride take to complete one revolution?
Answer:
hot potato
Step-by-step explanation:
tony's friends ate 0.6 of the appetizers he made which point on the number line best represents 0.6?
Answer:whichever # is closest to 0.6 round up to 1 or 60%
Step-by-step explanation:
Answer:
round your answer to 0.6
Step-by-step explanation:
for example 0.58 rounds up to 0.6
A car used 1/72 of a galloon of gas to drive 1/3 of a mile.At this rate,how many miles can the car travel using 1 galloon of gas?
Answer:
24
Step-by-step explanation:
3 x 1/72 = 1 mile
72/3 = 24
The car will use 1 gallon of gas per 24 miles
I need help with this question !!
Answer:
K^1= (-8,10)
L^1 = (-4,10)
m^1 =(-5,10)
Step-by-step explanation:
all you have to do is move the points 90 degrees counterclockwise, which then you would get the points above.
Une échelle est posée contre un mur et une caisse cubique de 1m de côté La distance entre le bas de l'échelle et la caisse est de 1.40 M calculer si possible la distance entre le haut de l'échelle et le sol
Please help me, 65 points to someone who can help me.
Answer:
x = -0.5 , x = -5.5Step-by-step explanation:
Solving
-4x² = 24x + 114x² + 24x + 11 = 04x² + 24x + 36 - 36 + 11 = 0(2x + 6)² - 25 = 0(2x + 6)² = 25⇒ 2x + 6 = ±5Case 1 : x = +5
2x + 6 = 52x = -1x = -1/2x = -0.5Case 2 : x = -5
2x + 6 = -52x = -11x = -11/2 x = -5.5Hi I need help with this one
Answer:
1. ?
2. d
3. g
4. f
5. k
6. ?
7. j
8. l
9. h
10. b
11. ?
12.?
Find the quotient of 213.21 and 15.8. Round your answer to the nearest tenth.
Answer:
13.5
Step-by-step explanation:
213.21÷15.8= 13.494
Rounded : 13.5
What is the exact value of
Answer:
4th option
Step-by-step explanation:
using the addition formula for cosine
cos(a - b) = cosacosb + sinasinb
note that 15° = (45 - 30)° , then
cos15°
= cos(45 - 30)°
= cos45°cos30° + sin45°sin30°
= ( [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) + ( [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] )
= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]
= [tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]
= [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]
Answer:
[tex]\cos 15^{\circ}= \dfrac{\sqrt{2}+\sqrt{6}}{4}[/tex]
Step-by-step explanation:
Trig Identity:
[tex]\cos (A-B)=\cos A \cos B + \sin A \sin B[/tex]
[tex]\begin{aligned}\implies \cos 15^{\circ}=\cos (45^{\circ}-30^{\circ}) & =\cos 45^{\circ} \cos 30^{\circ} + \sin 45^{\circ} \sin 30^{\circ}\\\\& = \dfrac{\sqrt{2}}{2} \cdot \dfrac{\sqrt{3}}{2} + \dfrac{\sqrt{2}}{2} \cdot \dfrac{1}{2}\\\\& = \dfrac{\sqrt{2}\sqrt{3}}{2 \cdot 2}+\dfrac{\sqrt{2} \cdot 1}{2 \cdot 2}\\\\& = \dfrac{\sqrt{2\cdot 3}}{4}+\dfrac{\sqrt{2}}{4}\\\\& = \dfrac{\sqrt{6}+\sqrt{2}}{4}\\\\& = \dfrac{\sqrt{2}+\sqrt{6}}{4}\end{aligned}[/tex]
13. Solve the system of equation using substitution.
5x – 2y = 33
y = 7x – 39
Answer:
The correct answer is x=5
Light bulbs manufactured at a certain factory have a 3% probability of being defective. what is the probability that 5 out of a shipment of 30 will be defective? a. 0.25 b. 0.0016 c. 0.0035 d. 0.167
A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that 5 out of a shipment of 30 will be defective is 0.001617.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
The probability of the bulb being defective is 3%(0.03) and the probability of the bulb not being defective is 97%(0.97).
Now, it is needed to be found that the probability that 5 out of a shipment of 30 will be defective can be written as,
P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾
P(x=5) = ³⁰C₅ (0.03)⁵ (0.97)²⁵
P(x=5) = 0.001617
Hence, the probability that 5 out of a shipment of 30 will be defective is 0.001617.
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All of the members of the harvey family are very
tall. their heights are 84 inches, 84 inches, 77
inches, 63 inches, 70 inches, 70 inches and 'x'
inches. if the mean height of the family members
is 75 inches, about how tall is person 'x' ?
77 inches
84 inches
70 inches
63 inches
Answer:
77 "
Step-by-step explanation:
'mean' is the average of all of the heights
( 84 + 84 + 77 + 63 + 70 + 70 + x) / 7 = 75
x = 77