There is 20% error in zookeeper's calculations.
Step-by-step explanation:
Given,
Approx weight of newborn lion = Approx value =2.8 pounds
Exact weight of newborn lion = Exact value = 3.5 pounds
Percent error = [tex]\frac{|approx-exact|}{exact}*100[/tex]
Percent error = [tex]\frac{|2.8-3.5|}{3.5}*100\\[/tex]
Percent error = [tex]\frac{|-0.7|}{3.5}*100[/tex]
Percent error = [tex]\frac{70}{3.5}[/tex]
Percent error = 20%
There is 20% error in zookeeper's calculations.
Final answer:
To find the zookeeper's percent error, subtract the predicted weight from the actual weight to find the absolute error, divide by the actual weight, multiply by 100, and round to the nearest percent. The percent error in predicting the weight of the newborn lion is 20 percent.
Explanation:
To calculate the zookeeper's percent error in predicting the weight of a newborn lion, we follow these steps:
Round to the nearest percent.
The zookeeper predicted the weight would be 2.8 pounds, but the actual weight was 3.5 pounds. So the absolute error is:
|Predicted Weight - Actual Weight| = |2.8 pounds - 3.5 pounds| = 0.7 pounds
Then, divide the absolute error by the actual weight:
0.7 pounds / 3.5 pounds = 0.2
Multiply by 100 to convert to a percentage:
0.2 × 100 = 20%
Since we round to the nearest percent, the zookeeper's percent error is 20 percent.
Use rounding to estimate the product.
8.24 × 5.88
40
45
48
85
Answer:
Its 48.4512 and rounded it is 48 :)
Determine the area of the composite figure to the nearest whole number.
A) 563 in2
B) 680 in2
C) 776 in2
D) 1,030 in2
And I want an explanation
Answer:
B
Step-by-step explanation:
Let’s review our area formulas first:
Area of rectangle: l*w
Area of quarter circle:(pi*r^2)/4
Area of triangle:(b*h)/2
What we need to do is find the areas of these individual figures and add them up to find the area of the total figure WHEn CALCUlATING AReA Be SURE TO OnLY LOOK AT THE OnE figure and ignore all other shapes!
So
Rectangle=11.1(length)*21.1(width)
Rectangle=234.21
Quarter circle=(pi*(21.1)^2)/4
Quarter circle= 349.667116326
Triangle:(9.1*21.1)/2
Triangle=96.005
So
96.005+234.21+ 349.667116326=679.8821(round up to 680)
Hope this helps!
How do I find side length x and would I use sin cos or tan
Check the picture below.
Make sure your calculator is in Degree mode.
ƒ(x) = -2x + 3?
(-1, ___)
Answer:
(-1, 5)
Step-by-step explanation:
When f(x) = f(-1)
f(-1) = -2(-1) + 3
f(-1) = 2 + 3
f(-1) = 5
-1 is x
5 is y
(-1, 5)
Answer: (-1, 5)
Answer:
(-1,5)
Step-by-step explanation:
x=-1 then
f(-1)=-2*(-1)+3=2+3=5
a pair of running shoes costs $37 less than twice the cost of a pair of basketball sneakers. The sneakers cost $48.50. How much do the running shoes cost?
Answer:
11.5
Step-by-step explanation:
Sneakers = 48.50
Expression for cost of running shoes = 2(sneakers) - 37
Plug in value of sneakers and solve:
2(48.50) - 37
97 - 37
$60
The running shoes cost $60.
Hope this helps!! :)
Which expressions are equivalent to
2 In a + 2 In b - In a?
Check all that apply.
Answer:
ln ab^2
ln a + 2 ln b
ln a^2 + ln b^2 - ln a.
Step-by-step explanation:
2 ln a + 2 ln b - ln a
= ln a^2 + ln b^2 - ln a
= ln (a^2/a) + ln b^2
= ln a + 2 ln b
= ln a + ln b^2
= ln ab^2.
Yo sup??
2lna+2lnb-lna
=lna²+lnb²-lna
=lna²b²/a
=lnab²
correct answer is option E
Hope this helps
The circumference of a circular frisbee is 20 centimeters. If
we multiply the radius of the frisbee by 5, what will be the
circumference of the new frisbee?
OA) 981 cm
OB) 100 cm
OC) 1451 cm
OD 2007 cm
Answer:
100cm
Step-by-step explanation:
since the circumference is 20cm and formula for finding a circumference of a circle is c=2(pi)r, where r is radius and pi is constant value which is equivalent to 22/7. so the radius of 20cm circumference is 3.1847 by using this eqn c/2(pi)=r. now the calculated radius will b multiply by 5 to get 15.92cm which is put in cirumference formula i.e. c=2(pi)r we get 100cm circumference.
There are 5,280 feet in one mile. How many feet are in 6 miles?
Answer:
31,680 feet
Step-by-step explanation
5280*6
Answer: 31, 680 feet
Step-by-step explanation:
If 5280 feet = 1mile
x = 6 miles
Step 1: cross multiply the equation to the the value of x
x= 5280 × 6
=31,680 feet
how to solve
Y+2=4
Y-2=8
Answer:
First question -> y = 2
Second question -> y = 10
Step-by-step explanation:
Step 1: Solve y + 2 = 4
Subtract 2 from both sides
y + 2 - 2 = 4 - 2
y = 2
Step 2: Solve y - 2 = 8
Add 2 to both sides
y - 2 + 2 = 8 + 2
y = 10
Answer: First question -> y = 2
Second question -> y = 10
Convert the mass 21mg=___g
Answer:
0.021g
Step-by-step explanation:
If I have 30 vegetables and 2 of the vegetables are beans. What percentage of vegetables are beans
Answer:
6%
Step-by-step explanation:
.02 times 30
.6=6%
What is 40% of 35 I NEEEED TO NOOOO
Answer:
14
Step-by-step explanation:
%40 * 35 is same as 0.4 * 35
14
Answer: 14
Answer:
14
Step-by-step explanation:
There are 27 girls and 36 boys who want to participate in a math competition. If each team must have the same ratio of girls and boys what’s the greatest number of teams that can enter?
Since the ratio of girls and boys must be the same in each team, and all the competitors must be involved, it means that each team's ratio of boys : girls must be equal to the total ratio of Boys : Girls = 36 :27= 4 / 3.
Now 4 / 3, the most simplified version of 36 / 27, happens by dividing the numerator & demoninator by 9 (the greatest number it can divide by). So the greatest number will be 9 teams, each of 4 Boys & 3 Girls
Answer:
4 Boys & 3 Girls
Step-by-step explanation:
[]: what is 20056x345
Answer:
6,919,320
Step-by-step explanation:
20056 * 345
6919320
Answer: 6,919,320
Answer:
6,919,320.00
Step-by-step explanation:
One cubic foot of sand weighs about 90 pounds. Approximate the weight of the cone-shaped pile of sand. Round your answer to the nearest hundred pounds. Please show your work too, thank you. :)
Answer:
3485.63 pounds
Step-by-step explanation:
For cone shaped sand:
Height (h) = 3.5 ft
Diameter (d) = 6.5 ft
Therefore, radius (r) = 6.5/2= 3.25 ft
[tex]volume \: of \: sand \\ = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \times \frac{22}{7} \times {(3.25)}^{2} \times 3.5\\ \\ = \frac{1}{3} \times 22 \times 10.5625 \times 0.5\\ \\ = \frac{1}{3} \times 11 \times 10.5625 \\ \\ = \frac{1}{3} \times 116.1875 \\ \\ = 38.7291667 \: {ft}^{3} \\ \\ \because \: 1 \: {ft}^{3} = 90 \: pounds \\ \\ \therefore \: 38.7291667 \: {ft}^{3} \\ = 38.7291667 \times 90 \ \\ = 3,485.625 \: pound \\ \approx \: 3485.63 \: pounds[/tex]
Hence, weight of sand is 3485.63 pounds.
The two pentagons are similar. Find the value of x. Enter your answer in the box.
Which statement show equivalent expressions? PLEASE HELP ME ASAP
A 5(x−2)=5x−3
B 3(x+6)+x=4x+9
C 8(2x+3)=16x+24
D 4(5x+2)−6=20x+14
Answer:
c.
Step-by-step explanation:
8(2x+3) = 16x + 24
8(2x) + 8(3) = 16x + 24
Answer:
C)
Step-by-step explanation:
C) 8(2x+3)=8*2x+8*3=16x+24 true
Look at the image used by the author of "Heads Up on
Sports Safety
Look at the image used by the author of "Heads Up on
Sports Safety
The author most likely included this image from an outside
resource to show how
stadiums have changed.
photographic technology has changed.
football uniforms have changed.
football strategies have changed.
The author most likely included this image to show how football uniforms have changed.
Why the image is added?
The thesis of "Heads Up on Sports Safety" is, as the name implies, sports safety.
The image shows some kids, all of them with their correspondent football equipment (protective equipment).
So, what is being presented in the image, is in some way how the "football uniforms have changed." In a way in which the safety of the players is a priority.
So that is the correct option.
If you want to learn more about sports, you can read:
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between the time Iko woke up and lunchtime, the temperature rose by 11°. Then by the time he went to bed, the temperature dropped by 14 °. Write an addition expression for the temperature relative to when Iko woke up.
Answer:
x + (11) + (-14) [x being temperature when Iko woke up]
Step-by-step explanation:
Let the temperature be "x" when Iko woke up
Then,
Temperature ROSE 11° in lunch
The temp in lunch was: x + 11
Then the temperature DROPPED 14° when he went to bed, relative to lunch temperature, so we can say:
(x + 11) - 14
So, the final temperature that end of day was:
x + 11 - 14
As addition expression, it will be:
x + (11) + (-14)
Ivanna is a software saleswoman. Let y represent her total pay (in dollars). Let x represent the number of copies of History is Fun she sells. Suppose that x and
y are related by the equation 2400+120x = y.
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What is the change in Ivanna's total pay for each copy of History is Fun she sells?
$
What is Ivanna's total pay if she doesn't sell any copies of History is Fun?
1. For every extra copy, Ivanna sells she gets an additional 120 dollars (+$120) and for every less copy she loses $120 dollars (-$120).
2. Ivanna's total pay is $2,400 if she doesn't sell any copies of History is Fun.
Step-by-step explanation:
Step 1:
y = 2,400 + 120x, where y is Ivanna's total pay and x is the number of copies of history is fun she sells.
To calculate the change is Ivanna's pay we find the difference in pay for two consecutive values of y.
We must calculate y when x is of consecutive values i.e. 1, 2, 3, 4 ...
Step 2:
We calculate the value of y when x = 1, 2 and 3.
When x = 1, y = 2,400 + 120 (1) = 2,400 + 120 = $2,520.
When x = 2, y = 2,400 + 120 (2) = 2,400 + 240 = $2,640.
When x = 3, y = 2,400 + 120 (3) = 2,400 + 360 = $2,760.
Step 3:
To calculate the increase in her pay for a copy, we subtract y when x = 2 from y when x = 3.
(y when x = 3) - (y when x = 2) = $2,760 - $2,640 = $120.
So for every extra copy, Ivanna gets an extra $120.
To calculate the decrease in her pay for a copy, we subtract y when x = 3 from y when x = 2.
(y when x = 2) - (y when x = 3) = $2,640 - $2,760 = -$120.
So for every less copy, Ivanna loses $120.
Step 4:
To calculate her pay when she doesn't sell any copies of history is fun, we substitute the value of x as 0 in y.
When x = 0, y = 2,400 + 120 (0) = $2,400.
So Ivanna earns $2,400 if she doesn't sell any copies of history is fun.
(4x^-3 y^5 z^-2)(2^-1 x^-1 y^-2)
Answer:
[tex]\frac{2y^{3} }{x^{4}z^{2} }[/tex]
Step-by-step explanation:
Simplify the expression until you get the given answer.
Hopefully this helps you out~
The family size bottle of sunscreen holds 12 fluid ounces of sun screen .The regular bottle holds 75%
Answer:
3!!!!!!!!!!
Step-by-step explanation:
Please just believe me
A group of construction workers were able to lay 27 bricks in an hour on a new house. This was 30% of the total number of bricks laid that day. What was the total number of bricks laid that day?
A total of 90 bricks were laid that day.
Step-by-step explanation:
Given,
Number of bricks laid in one hour = 27
This represents 30% of total bricks laid that day.
Let,
x be the total number of bricks laid that day.
30% of x = 27
[tex]\frac{30}{100}*x=27\\0.3x=27[/tex]
Dividing both sides by 0.3
[tex]\frac{0.3x}{0.3}=\frac{27}{0.3}\\x=90[/tex]
A total of 90 bricks were laid that day.
9.0758 to 2 significant figures.
Answer w/ explanation:
The answer is 9.1
To round to 2 significant figures, we have to find the first significant figure. We find the first sig fig by looking for the first nonzero digit in the number (it can be before or after the decimal point), which is "9"
The next digit is "0". This will also be a significant figure in our answer.
It may seem we are done now since we found the two significant figures. However, let's look at the digit after "0" to see if we need to round up or down.
The digit after "0" is "7". Since 7 is greater than 5, we round up the "0" to a "1" in our final answer, making the answer 9.1
Side note:
The definition and concept of significant figures can be very confusing overall, so please continue to ask questions if you are still struggling with them.
Let me know if you need any clarifications, thanks!
~ Padoru
A number 9.0758 to 2 significant figures is, 9.1
We have to give that,
A number is,
⇒ 9.0758
Since There are 5 significant numbers.
Hence, A number 9.0758 to 2 significant figures is,
⇒ 9.0758
Since 7 is greater than 5.
Hence,
9.0758 ≈ 9.1
So, The solution is, 9.1
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41% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
Answer:
Step-by-step explanation:
41%
(a) P(X = 3) ≈ 0.2687
(b) P(X ≥ 4) ≈ 0.9852
(c) P(X < 8) ≈ 0.9998
These probabilities were calculated using the binomial probability formula for a 41% favorability rate and 12 trials.
To find the probability in this scenario, we can use the binomial probability formula. Let's break down each part of the question:
(a) To find the probability that exactly three out of twelve U.S. adults favor the use of unmanned drones, we can use the binomial probability formula:
P(X = k) = (n choose k) ×[tex]p^k[/tex] ×[tex](1-p)^(n-k)[/tex]
Where:
n is the number of trials (12 in this case).
k is the specific number of successes we're interested in (3 in this case).
p is the probability of success (41% or 0.41 in decimal form).
P(X = 3) = (12 choose 3) × [tex](0.41^3)[/tex] × [tex](0.59^9)[/tex]
Calculate this using a binomial calculator or software to find the exact probability.
(b) To find the probability that at least four out of twelve U.S. adults favor the use of drones, we need to calculate the complementary probability of having fewer than four favoring drones and subtract it from 1:
P(X ≥ 4) = 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)]
(c) To find the probability that less than eight out of twelve U.S. adults favor the use of drones, calculate:
P(X < 8) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 7)
You can compute these probabilities using a binomial calculator or statistical software to get the precise answers.
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Which is true about the degree of the sum and difference of the polynomials 3xy - 2xy4 - 7xy and -8xy + 2x°y4 + xy?
O Both the sum and difference have a degree of 6.
O Both the sum and difference have a degree of 7.
The sum has a degree of 6, but the difference has a degree of 7.
The sum has a degree of 7, but the difference has a degree of 6.
Answer:
It's C I just did it
Step-by-step explanation:
The degree of the sum and difference of the polynomials are 6 and 7 respectively.
The degree of the sum and difference of the polynomials.
3x⁵y - 2x³y⁴ - 7xy³ and -8x⁵y + 2x³y⁴ + xy³
The degree of sum = monomial with the highest power = 5 + 1 = 6
The degree of difference = monomial with the highest power = 3 + 4 = 7
Therefore, the degree of the sum and difference of the polynomials are 6 and 7 respectively.
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The answer to the question
Answer:
Step-by-step explanation:
NIPO
Can diagonal of a parallelogram be congruent to one of its sides?
Answer: Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.
Answer:
is that a yes
???????????????????????????????????????????????????????????????
1. Find the x-intercept of the line: 5x - y = 10
2. Find the y-intercept of the line: 9x + 3y = -18
3. What are the x- and y- intercepts of the graph of 6x - 4y = -12
Final answer:
The x-intercept of the line 5x - y = 10 is (2, 0), the y-intercept of the line 9x + 3y = -18 is (0, -6), and the equation 6x - 4y = -12 has an x-intercept at (-2, 0) and a y-intercept at (0, 3).
Explanation:
To find the x-intercept of a line, we set the value of y to zero and solve for x. For the equation 5x - y = 10, we set y to 0:
5x - (0) = 10
5x = 10
x = 2
The x-intercept is therefore the point (2, 0).
To find the y-intercept of a line, we set the value of x to zero and solve for y. For the equation 9x + 3y = -18, we set x to 0:
(0) + 3y = -18
3y = -18
y = -6
The y-intercept is therefore the point (0, -6).
For the equation 6x - 4y = -12, the x-intercept and y-intercept can be found similarly. Let's start with the x-intercept. Set y to 0:
6x - (0) = -12
6x = -12
x = -2
The x-intercept is the point (-2, 0). Now, for the y-intercept, we set x to 0:
(0) - 4y = -12
-4y = -12
y = 3
The y-intercept is the point (0, 3). Thus, for 6x - 4y = -12, the intercepts are x = -2 and y = 3.
Write the number 3.636408 to the nearest ten-thousandth
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The number 3.636408 to the nearest ten-thousandth will be 3.636.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
The given decimal number 3.636408 can be written to the nearest ten-thousandth with the help of a number line. The two of the closest number to 3.636408 are 3.636 and 3.637.
Now, as it can be observed that the distance between 3.636408 and 3.636 is less than 3.636408 and 3.637.
Therefore, the number 3.636408 to the nearest ten-thousandth will be 3.636.
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