Answer:
Diameter = 2 x Radius = 2 x 11 cm = 22 cm.
Step-by-step explanation:
The radius of the circle is 11 cm since it is given as the circle's measurement.
The diameter of a circle is twice the radius, so the diameter of this circle would be:
Diameter = 2 x Radius = 2 x 11 cm = 22 cm
Pleaseeee helpoo.
one leg of a right triangle is four times longer than the other. What is the smaller acute angle of that triangle?
x = 4 is the smaller acute angle of that triangle.
What is the Pythagorean theorem in plain ?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.Let x be the length of the shorter leg.
By Pythagorean Theorem
( 5x² ) + x² = 416
25x² + x² = 416
26x² = 416
x = 4
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The complete question is -
One leg of a right triangle is 5 times as long as the other leg, the length of the hypotenuse is the square root of 416, what is the length of each leg?
The first figure is dilated to form the second figure.
Which statement is true
A. The scale factor is 0.25
B. The scale factor is 4
C. The scale factor is 4.35
D. The scale factor is 7.25
Answer:
so, the size of the shape decreased. By how many times compared to the initial shape is the scale factor,
so scale factor is the ratio of a dimension of the final shape and the corresponding dimension of the initial shape
hence.
scale factor=1.45÷5.8=0.25
ans is A
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A pyramid is placed inside a prism with the same base and height. The volume of the part of the prism outside the pyramid is 96 cubic cm. How many cubic centimeters is the volume of the pyramid?
Answer:
\(\mathcal{V}_{pyramid} = \dfrac{96}{2} = \bf 48 \ cm^{3}\)
The box plot shows the times for sprinters on a track team.
A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 44, 48, 50.5, 53, and 56 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.
Which value does 50% of the data lie above, and what is it called?
48, the lower quartile
50.5, the median
56, the median
53, the upper quartile
The value that 50% of the data, as shown in the box plot, lie above and what it is called is: B. 50.5, the median
What is the Median of a Box Plot?A box plot that displays the data set has the value of the median indicated at the point where a vertical line divides the rectangular box.
The median can be referred to as the second quartile (Q2) or 50th percentile of the data set.
The median value shows that 50% of the data set is above it while 50% is below it also.
The box plot in the given image shows that the vertical line crosses the rectangular box at 50.5.
50.5 is therefore the median, and this means that 50% of the data lie above 50.5.
Therefore, the answer is:
B. 50.5, the median
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how many 73 kg to lbs
The required number of pounds in 73 kilograms is approximately 160.93 pounds
How to change pounds to kilogram?73 kilograms is equal to approximately 160.93 pounds. The conversion factor from kilograms to pounds is 2.20462. So, to convert 73 kilograms to pounds, you can multiply 73 by 2.20462.
The result of this calculation will give you the weight in pounds. It's important to note that the kilogram is the base unit of mass in the International System of Units (SI) and the pound is a unit of weight commonly used in the United States and other countries that use the imperial system.
Therefore, when converting from kilograms to pounds, it's not just a matter of converting the units but also considering the difference between mass and weight.
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What does log of e mean?
The Power e is to which a number should be raised to get the specified number is called the logarithm of that specific number. For example, the logarithm to the base of 10 of 1000 is 3 because 10 raised to the power 3 is 1000.
The logarithmic function is the reverse of the Mathematical function of the exponential function. The logarithmic function is log ax = y is equal to x = ay.
There are mainly two types of logarithms normally used in Mathematics. They are one is common logarithms and second natural logarithms.
The log number ‘e’ is an irrational Mathematical constant and is mostly used as the base of natural logarithms. The number ‘e’ is the only unique number in mathematics whose value of natural logarithm is equal to unity.
The value of log ‘e’ was calculated in 1683 by Jacob Bernoulli.
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Solve the following one-step equations using inverse operations.
1) X + 6 = 13
X =
2) Y - 5 = 22
Y =
3) 8M = -72
M =
4)
E =
Simplify the following problems by combining like terms.
5) 5x + 9 - 2x - 7 =
Simplify the following problem by using the Distributive Property.
6) -5(x + 8) =
Simplify the following problem by Factoring.
7) 10w - 20 =
A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.
Answer:
0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected
Step-by-step explanation:
For each coil, there are only two possible outcomes. Either it is good, or it is not. Since the coil taken is replaced, the probability of choosing a good coil on a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
88 out of 100 are good:
This means that \(\pi = \frac{88}{100} = 0.88\)
Find the probability of getting two good coils when two coils are randomly selected.
This is P(X = 2) when n = 2. So
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 2) = C_{2,2}.(0.88)^{2}.(0.12)^{0} = 0.7744\)
0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected
Neptune is about how many times as far from the Sun as Mars is from
the Sun?
Neptune - 2,800,000,000
Mars= 142,000,000
Solution:
Answer:
Neptune is 4.495 billion far from the sun and mars is 227.9 million km
the anwer is 4.2671 i guess
2. The quotient of a number and -9 increased by 10 is 11.
Answer:
Step-by-step explanation:
This question isn't worded the greatest, there are two ways you can read this.
1. The quotient of a number and -9, increased by 10, is 11
2. The quotient of a number, and -9 increased by 10, is 11
The first equation will look like this
\(\frac{x}{-9} +10 = 11\)
And the second will look like this
\(\frac{x}{-9+10} = -11\)
So I have solved for both (I personally believe the second way of reading the question is the correct way)
What is 0. 2 [5x + (–0. 3)] + (–0. 5)(–1. 1x + 4. 2) simplified?
The simplified form of 0.2[5x + (-0.3)] + (-0.5)(-1.1x + 4.2) is -0.44x + 0.68.
First, we simplify the expression inside the brackets:
\(5x + (-0.3) = 5x - 0.3.\)
Next, we apply the distributive property to the expression:
\(0.2[5x - 0.3] + (-0.5)(-1.1x + 4.2) = 1x - 0.06 - (-0.55x + 2.1).\)
Simplifying further, we combine like terms:
\(1x - 0.06 + 0.55x - 2.1 = 1.55x - 2.16.\)
Finally, we have the simplified expression:
\(0.2[5x + (-0.3)] + (-0.5)(-1.1x + 4.2) = 1.55x - 2.16.\)
Therefore, the simplified form of the given expression is -0.44x + 0.68.
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Solve the equation using the distributive property and properties of equality.
One-half (x + 6) = 18
Answer:D.30
Step-by-step explanation:
Please someone help!
Answer:
I think that is right :/
Step-by-step explanation:
\(10 \frac{3}{4} + 9 \frac{2}{4} \\ \frac{43}{4} + \frac{34}{4} \\ \frac{77}{4} \\ or \: \: 19 \frac{1}{4} \)
Once upon a time there was a farmer whose family raised pigs and chickens. If you counted 24 heads and 80 feet, how many chickens were there? How many pigs were there?
Answer:
Number of chickens = 8
Number of pigs = 16
Step-by-step explanation:
Let the pigs = p
Let the number of chickens = c
Number of heads = 24
p + c = 24 ----------------(I)
p= 24 - c
Number of feet = 80
Chicken has 2 legs and pig has 4 legs
4p + 2c = 80 --------------(II)
Substitute p = 24 - c in equation (II)
4*(24 - c) + 2c = 80
4*24 - 4*c + 2c = 80
96 - 4c + 2c = 80 {Combine like terms}
96 - 2c = 80 {subtract 96 from both sides}
-2c = 80 - 96
-2c = -16 {Divide both sides by (-2)}
c = -16/-2
c = 8
Plugin c = 8 in equation (I)
p + 8 = 24
p = 24 - 8
p = 16
48 out of 120 people at a fair bought fried Oreos. What percentage of the people bought fried Oreos?
1 point
Answer:
40%
Step-by-step explanation:
Answer:
it will be 40%
Step-by-step explanation:
because the formula of getting the answer is 48/120×100 which is 40
multiply 7 by the sum of 10 and t
Step-by-step explanation:
multiply 7 by the sum of 10 and t
7×(10+t)Here, we should multiply each terms in brackets with 7
7×10+7×t70+7tStep-by-step explanation:
7×(10+t)7×10+7×t70 + 7tWrite an equation of the line passing through the points (4, 15) and (-2, -21).
Step-by-step explanation:
(y2-y1)/(x2-x1)=(y-y1)/(x-x1)
(-21-15)/(-2-4)=( y-15)/(x-4)
6(x-4)=y-15
6x-y-9=0
What is 9,167.364 written in expanded form?
Answer:
on writing in expanded form we get
9167.364 = 9000 + 100 + 60 + 7 + 0.3 + 0.06 + 0.004
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Hello please help with this question.
Answer:
77.32°Step-by-step explanation:
Use sine to find the measure of ∠A:
sine = opposite / hypotenusesin A = 80/82m∠A = arcsin (80/82) = 77.32°What is the slope-intercept form of the following linear equation: 8x - by = 48 ?
The total number of students in the seventh grade is 9 more than 4 times as many students as are in the art class. If there are 101 students in the seventh grade, how many students are in art class?
Answer:
I think there are 23 students in the art class.
Step-by-step explanation:
You first subtract 9 from 101. Then, you divide by four to get 23.
Write a pair of negative integers whose difference is 8.
Answer:
(-5,-13) has a difference of 8
Answer:
-2 and -10
Step-by-step explanation:
negative integers are whole numbers below 0
difference is the same as (-)subtraction
x-y=8
if x= -2
-2-y=8
-y=8+2
-y=10
y= -10.
confirmation-2 - (-10)=8
-2+10=8
8=8
5. Writing to Explain How many 2-inch cubes could fit inside the
rectangular prism shown in Exercise 1? Explain how you know.
What is an equivalent form of 12(p + 5) − 11(3q + 4)?
The required expression would be 12p - 33q + 104 which is equivalent form of 12(p + 5) − 11(3q + 4).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
We have been given the expression:
12(p + 5) − 11(3q + 4)
Apply the distributive property of multiplication,
12p + 12 × 5 − 11 × 3q + 11 × 4
12p + 60 - 33q + 44
Rearrange the terms likewise and apply the arithmetic operation,
12p - 33q + 60 + 44
12p - 33q + 104
Therefore, required expression would be 12p - 33q + 104 which is equivalent form of 12(p + 5) − 11(3q + 4).
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Answer:
C
Step-by-step explanation:
Is that the correct answer for it please help me. I want to past my ecam
Answer:
No answer is be 28%
5+9+7+4=25
7/25 + .28 =28%
Step-by-step explanation:
an engineer has designed a valve that will regulate water pressure on an automobile engine. the valve was tested on 100 engines and the mean pressure was 5.5 lbs/square inch. assume the standard deviation is known to be 0.7 . if the valve was designed to produce a mean pressure of 5.3 lbs/square inch, is there sufficient evidence at the 0.05 level that the valve performs above the specifications? state the null and alternative hypotheses for the above scenario.
There is sufficient evidence that the valve performs above the specifications.
Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch
Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch
To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.
Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.
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solve this problem. -16r=272
Answer:
-17
Step-by-step explanation:
-16r=272
16r=-272
r=-17
Answer:
r=(-17)
Step-by-step explanation:
-16r=272
/-16 /-16
r=(-17)
What is21/11
as a decimal?
Answer:
1.90909 (Rounded to fifth decimal place)
Step-by-step explanation:
Answer:
1.909....
Step-by-step explanation:
find the perimeter of the rectangle 3x length 5 width
Answer:
2(2x+5)
Step-by-step explanation:
Length of the rectangle=l= 3x
Breadth of the rectangle=b= 5
Perimeter= 2(l+b)
= 2(3x+5)
add the expression (1/4x - 4 + 2y) + (2/5x + 5 - 4y)
Answer:
= 13/ 20 x − 2y+1
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