Answer:
We have supplementary angles.
123 + 3x = 180
3x = 57
x = 19
Answer:
x = 19
Step-by-step explanation:
Angle on a straight line add up to 180
123 + 3x = 180
3x = 180 - 123
3x = 57
3x/3 = 57/3
x = 19
Estimate 147+14+85 by first rounding each number to the nearest ten.
Answer:
250
Step-by-step explanation:
because 147 rounded is 150 14 is 10 and 85 is 90 these added together are 250
Two different drugs, X and Y, are currently in use to treat a certain condition. About 7 percent of the people using either drug experience side effects. A random sample of 75 people using drug X and a random sample of 150 people using drug Y are selected. The proportion of people in each sample who experience side effects is recorded. Are the sample sizes large enough to assume that the sampling distribution of the difference in sample proportions is approximately normal?
(A) Yes. Both sample sizes are large enough.
(B) No. The sample size for drug X is large enough, but the sample size for drug Y is not.
(C) No. The sample size for drug Y is large enough, but the sample size for drug X is not.
(D) No. Neither sample size is large enough.
(E) There is not enough information provided to determine whether the sampling distribution is approximately normal.
Answer:
C
Step-by-step explanation:
No. The sample size for drug Y is large enough, but the sample size for drug X is not.
The sample size would be greater than 100 to get a significant result, so, option C is correct.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
A random sample of 75 people using drug X and a random sample of 150 people using drug Y is selected,
The majority of statisticians concur that a sample size of 100 is necessary to obtain any form of significant results. If your population is less than 100, you should definitely survey every single person.
Thus, the sample size for drug X is not enough.
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For this question “ followed by a number will mean to the power of.
I need the solution for x,y, and z with steps please
(3*5)”4*(2*3)”5*(2*5)”7= 2”x*3”y*5”z
Please and thank you
The solution for x, y, and z is x = 2, y = 2, and z = 2.
To solve the equation (35)"4(23)"5(25)"7 = 2"x3"y*5"z, let's break it down step by step:
Simplify the expressions within the parentheses using the power of operator ("^").
\((35)"4 = 15^4\\(23)"5 = 6^5\\(2\times5)"7 = 10^7\)
Apply the power rule of exponents, which states that \((a^b)^c = a^{(b\times c).\)
\(15^4 \times 6^5 \times 10^7 = (15610)^{(4+5+7)\)
Simplify the expression within the parentheses.
\((15610)^{16 }= 900^{16\)
Express both sides of the equation in terms of prime factors.
\(900 = 2^2 \times 3^2 \times 5^2\)
quate the powers of the prime factors on both sides of the equation.
\(2^2 \times 3^2 \times 5^2 = 2"x \times 3"y \times 5"z\)
From this, we can conclude that x = 2, y = 2, and z = 2.
Therefore, the solution for x, y, and z is x = 2, y = 2, and z = 2.
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In a survey given by camp counselors, campers were asked if they like to swim and if they like to have a cookout. The Venn diagram displays the campers’ preferences. A Venn Diagram titled Camp Preferences. One circle is labeled S, 0.06, the other circle is labeled C, 0.04, the shared area is labeled 0.89, and the outside area is labeled 0.01. A camper is selected at random. Let S be the event that the camper likes to swim and let C be the event that the camper likes to have a cookout. What is the probability that a randomly selected camper likes to have a cookout? 0.04 0.89 0.93 0.99
The probability that a randomly selected camper likes to have a cookout will be 0.93.
How to calculate the probability?From the information given, it was stated that a survey given by camp counselors, campers were asked if they like to swim and if they like to have a cookout.
The Venn diagram displays the campers’ preferences. One circle is labeled S, 0.06, the other circle is labeled C, 0.04, the shared area is labeled 0.89, and the outside area is labeled 0.01.
Therefore, the probability that a randomly selected camper likes to have a cookout will be:
= 0.89 + 0.04
= 0.93
Therefore, the probability that a randomly selected camper likes to have a cookout will be 0.93.
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Hiiiiiiii Hiiiiiiii.
Answer: Hi How are you doing
Step-by-step explanation:
Hi Hi Hi Hi Hi
please help with this question
Answer:
B. xy(y - x) (y + x)
Step-by-step explanation:
14 points please HELP ME
Answer:
x=10 I am pretty sure
Step-by-step explanation:
Answer:
yh the answer is x=10
Step-by-step explanation:
-1000 2/3 is not real fraction. True or false
True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.
In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.
To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.
It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.
In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
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Two integers that have an absolute value of 20
20 and -20
|20|=20
|-20|=20
Two angles form a linear pair. One angle measures
2
x
and the other angle measures
10
x
. Find the measure of the smaller angle.
Answer:
30 degrees
Step-by-step explanation:
a linear pair adds up to 180 degrees. therefore, you can compose the equation 2x+10x=180
12x=180
x=15
the smaller angle is 2x, so 2 times 15 is 30
Athletes in a particular sport are classified as either offense or defense. The distribution of weights for the athletes classified as offense is approximately normal, centered at 200 pounds, and ranges from 150 pounds to 250 pounds. The distribution of weights for the athletes classified as defense is approximately normal, centered at 300 pounds, and ranges from 250 pounds to 350 pounds. There are 1,000 athletes in each classification. Which of the following is the best description of a histogram of the weights of all 2,000 athletes?
A. Skewed to the right (positively skewed).
B. Skewed to the left (negatively skewed).
C. Approximately uniform and centered at 250 pounds.
D. Approximately normal and centered at 250 pounds.
E. Bimodal.
The best description of the histogram for the 2000 athletes will BE a BIMODAL distribution because two distinct peaks will be formed by the
The distribution has two obvious groups; The OFFENCE and DEFENSE each of which has a NORMAL distribution.
For a NORMAL distribution, we have a peak centered in between to tails.
• The left tail of the offense class is about 150
• Centre or peak at 200
• Right tail at about 250
The right tail of the offense class correlates to the left tail of the defense class which ranges from of 250 to 350 with it's centre at 300.
An histogram in the form of the picture attached below will be obtained.
Hence, there are two distinct peaks and the right tail of one distribution is synonymous with the left tail of the other.
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A triangle has a side with length 9 feet and another side with length 7 feet. The
angle between the sides measures 69°. Find the area of the triangle. Round your
answer to the nearest tenth
Answer:
63
Step-by-step explanation:
A car travels 90 miles in 1.5 hours. How many miles will it travel in 5 hours if its speed remains the same?
Answer:
300 miles
Step-by-step explanation:
i am doing the same test right now
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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In a right triangle, the 58-cm hypotenuse makes a 51-degree angle with one of the legs. To the nearest
tenth of a cm, how long is that leg?
Answer:
36.5 cm
Step-by-step explanation:
The Adjacent leg is 36.5 cm
What are trigonometric functions?"The trigonometric functions (also called circular functions, angle functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."
What is hypotenuse, opposite and adjacent side of a right angled triangle?"In a right angled triangle, the hypotenuse is the longest side, an opposite side is the one across from a given angle, and an adjacent side is next to a given angle."
We have
Hypotenuse (AB) = 58 cm
Angle θ = 51 degree
From the figure, by using trigonometric functions
Cos θ = \(\frac{BC}{AB}\)
we have to find BC
Cos \(51^{0}\) = \(\frac{BC}{AB}\)
We have, AB = 58 cm
BC = AB cos \(51^{0}\)
⇒BC = 58 . cos \(51^{0}\)
⇒BC = 36.50 cm
⇒BC = 36.5 cm
Hence, Adjacent leg is 36.5 cm
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Please help me I am so bad at math
(f ◦ g)(x) is the composition of f(x) with g(x), equivalently
(f ◦ g)(x) = f(g(x))
To get f(g(x)), replace every instance of x in the definition of f(x) with g(x):
f(x) = -x + 7 ⇒ f(g(x)) = f(√(x - 3)) = -√(x - 3) + 7
Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230. Find the probability that next year there will be no snowfall in that town on January 1.
1. 0.770
2. 4.348
3. 0.299
4. 1.230
The probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 0.770
The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.
Now, WE get;
the probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 1 - P (snowfall)
P (no snowfall) = 1 - 0.230
P (no snowfall) = 0.770
Thus, The probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 0.770
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Which expression is equivalent to 3(2x + 1) — (x — 1)?
A. 5x
B. 5x + 2
C. 5x + 4
D. 3x + 6
one angle of parallelogram measures 140. What are the measures of the other three angles in the parallelogram?
According to the provided statement, the parallelogram's other three angles' measurements are 40°,140°,40°
Trapezoid or parallelogram: which is it?It is impossible for a trapezoid to be a parallelogram. Whereas a parallelogram has two sets of parallel sides, a trapezoid only has one pair. An object with two pairs of two edges is referred to as a parallelogram. All rhombuses are parallelograms because their opposite sides are all the same length.
A parallelogram's sum of neighboring angles is 180°.
So,
140+ x° = 180°
x=40°
In a parallelogram, the opposing angles are equal.
So, if a parallelogram, the angles are
140°,40°,140°,40°
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5. A map is drawn to a scale of 1: 20 000. (a) The perimeter of a lake is 2.5 km. Find, in cm, the perimeter of the lake on the map. (b) The area of the lake on the map is 12.5 cm². Find, in km², the actual area of the lake.
Step-by-step explanation:
2.5 km = 250000 cm
250000 cm /20000 = 12.5 cm on the map
12.5 cm ^2 x 20 0000 x 20 000 = 5 000 000 000 cm^2 = 500 000 m^2
Find the area of EFGH
The area of triangle FGH that is similar to triangle ABC is: 8 square feet.
What is the Area of Similar Figures?If two shapes are similar, the ratio of their areas equals the ratio of the square of their corresponding sides.
Therefore:
area of triangle EFG / area of triangle ABC = FG²/BC²
Plug in the values
area of triangle EFG / 18 = 2²/3²
area of triangle EFG / 18 = 4/9
area of triangle EFG = (18×4)/9
area of triangle EFG = 8 sq. ft.
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A(n) ____ of a polyhedron is the intersection of the _____ of the polyhedron
An Edge of a polyhedron is the intersection of the Vertex of the polyhedron.
What is a polyhedron?A polyhedron can be described as the 3-dimensional solid that is been formed through the combination of more than one polygons and they usually have different faces which is been used in knowing them as well as their classification.
It should be noted that this polyhedrons can be categorized based on the number of faces that can be found on them, however in this case we can conclude that the Vertex serves as the point of intersection that the edges of polyhedron has.
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Answer:
edge, vertex
Step-by-step explanation:
Given right triangle ABC, where side "c" is the hypotenuse, angle B measures 42 degrees, and side c measures 18 m, find the length of side b.
The length of side b of the given right angle triangle using law of sines is; b = 12.044 m
How to use the law of sines?The law of sines states that when we divide side "a" by the sine of angle A, it is equal to side "b" divided by the sine of angle B, and also equal to side "c" divided by the sine of angle C
Thus;
a/sin A = b/sin B = c/sinC
The parameters are;
B = 42°
c = 18m
Since c is the hypotenuse, it is the side that will be opposite the right angle and so;
C = 90°
Thus, using sine rule;
c/sinC = b/sin B
18/sin 90 = b/sin 42
b = (18 * sin 42)/1
b = 12.044 m
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Max works for a salary of $3250 per month. They have federal income tax withheld at the rate of 15 percent, Social Security tax withheld at the rate of 1.53 percent, Medicare tax withheld at the rate of 6.7 percent, and health insurance premiums of $98 per month.
Max's net salary, given the federal income tax, the Social Security tax, and the Medicare tax, as well as healthcare insurance, is $ 2, 397. 02
How to find the net salary ?Max's net salary would be the amount earned per month, less the various deductions such as federal income tax, Social Security tax, and Medicare tax.
The various taxes would be :
= Gross salary x ( Federal income tax + Social Security + Medicare tax )
= 3, 250 x ( 15 % + 1. 53% + 6. 7 %)
= $ 754. 98
The net salary is:
= Gross salary - taxes - health insurance premiums
= 3, 250 - 754. 98 - 98
= $ 2, 397. 02
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Rest of the question:
What is Max's pay after the taxes and deductions?
how do I solve the question 3/4+1/2
Answer: 1 1/4
Step-by-step explanation:
help me pass thank you!!!
Answer:
64
Step-by-step explanation:
\( (\frac{m^{2} }{m + 3} )^{3} \\ = \frac{m^{6} }{(m + 3)^{3} } \\ = \frac{6 {}^{6} }{{9 {}^{3} } } \)
46656/729
= 64
I need help with this question
The direction of the resultant vector is 58 degrees east-north if the mouse walks 15 m east, makes a 90° left turn, walks 8 m, makes another 90° left turn, and walks 10 m.
What is a vector?It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
It is given that:
A mouse is trapped in a maze.
He walks 15 m east, makes a 90° left turn, walks 8 m, makes another 90° left turn, and walks 10 m.
Based on the data given:
tanA = 8/(-10+15) = 8/5
A = tan⁻(8/5)
A = 58 degrees
The direction will be 58 degrees east-north
Thus, the direction of the resultant vector is 58 degrees east-north if the mouse walks 15 m east, makes a 90° left turn, walks 8 m, makes another 90° left turn, and walks 10 m.
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If k is an integer, what is
k + 1
/2
!
? Why?
If \(k\in\mathbb{Z}\) than \(k+1\in\mathbb{Z}\) however any \(\mathbb{Z}\) divided by 2 is in \(\mathbb{Q}\).
But it is not so simple.
If \(k\) is odd then \(k+1\) is even but when even number is divided by 2, you get an odd number which is in \(\mathbb{Z}\).
However if \(k\) is even then \(k+1\) is odd and when we divide that by 2, you get a number like for example \(\frac{5}{2}\) which is not in \(\mathbb{Z}\) but rather inside \(\mathbb{Q}\). There are fortunately no irrational numbers.
There is also a problem with zero, zero is neither odd nor even but still an integer. If your \(k\) happens to be -1, \(k+1=0\), and zero divided by 2 is still just 0 which is in \(\mathbb{Z}\).
So to sum up,
If \(k\) is odd and not -1, then \(\frac{k+1}{2}\in\mathbb{Z}\).
Or to put it in math \(\forall k\in\mathrm{odd}-\{-1\}\cup\{0\}\implies\frac{k+1}{2}\in\mathbb{Z}\).
If \(k\) is even or -1, then \(\frac{k+1}{2}\in\mathbb{Q}\).
Or to put it in math \(\forall k\in\mathrm{even}\cup \{-1\}\implies\frac{k+1}{2}\in\mathbb{Q}\).
Notes:
\(\mathbb{Z}\) is a set of integers.
\(\mathbb{Q}\) is a set of rational numbers.
\(\mathbb{Z}\subset\mathbb{Q}\) means integers are a subset of rational numbers, that is, every integer is a also a fraction, however not every fraction is an integer.
Hope this helps :)
10-5: Practice Buddy answers
Answer:
Step-by-step explanation:
In a direct variation, y=9 when x=3. Write a direct variation equation that shows the relationship between x and y.
In a direct variation, y=9 when x=3. A direct variation equation that shows the relationship between x and y is y=3x
What do you mean by direct variation?
Direct variation is a type of proportionality when one quantity changes right away in reaction to a change in another variable. This implies that if one number rises, the other will follow suit in a comparable manner. Similar to the last illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.
Given,
In a direct variation, y=9 when x=3.
Formulate an equation based on the conditions stated: y=kx
We put the value of the y and x in this equation
9=k*3
Subtract the coefficient of the variable from both sides of the equation
k= 3
We can write the equation of the function by putting the value of k: y=3x
Hence the correct answer is y=3x
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