Step-by-step explanation:
(3x + 4) - (x + 2)
= 3x - x + 4 - 2
= 2x + 2
#CMIIWWhat is negative 5 and start fraction 5 over 8 end fraction + 3 and one half
Answer:
Step-by-step explanation: the answer is -2 1/8 or c
Answer:
C.
Step-by-step explanation:
There smart
14. Suppose a math class contains 35 students, 17 females (five of whom speak French) and 18 males (three of whom speak French). Compute the probability that a randomly selected student speaks French, given that the student is male.
The formula to calculate the conditional probability of A given B is given to be:
\(P(A|B)=\frac{P(A\cap B)}{P(B)}\)If French is represented by F, and males by M, the formula to calculate the probability of a student speaking French given they are male is given to be:
\(P(F|M)=\frac{P(F\cap M)}{P(M)}\)The probability formula is given to be:
\(P(A)=\frac{n(A)}{n(T)}\)Therefore, we have:
\(\begin{gathered} P(F\cap M)=\frac{n(F\cap M)}{n(Students)} \\ n(F\cap M)=students\text{ that speak french and are male}=3 \\ n(Students)=35 \\ \therefore \\ P(F\cap M)=\frac{3}{35} \end{gathered}\)and
\(P(M)=\frac{18}{35}\)Therefore, the conditional probability is:
\(\begin{gathered} P(F|M)=\frac{\frac{3}{35}}{\frac{18}{35}}=\frac{3}{35}\times\frac{35}{18} \\ P(F|M)=\frac{3}{18}=\frac{1}{6}=0.167 \end{gathered}\)The probability is 0.167 or 1/6
dentify whether this angle is acute, obtuse, right, or straight. (2 points)
an angle that measures about twenty four degrees
a
Acute
b
Obtuse
c
Right
d
Straight
Answer:
(A) Acute Angle
Step-by-step explanation:
An acute angle is any angle less than 90 degrees,
an obtuse angle is any angle more than 90 degrees,
a right angle is exactly 90 degrees,
and a straight angle is 180 degrees.
I hope this helps!
How many coefficients are in the
expression
5x - 3y - z + 8?
a.
1
b. 2
C. 3
d. 4
Answer:
c. 3
Step-by-step explanation:
a) Suppose we were not sure if the distribution of a population was normal. In which of the following circumstances would we NOT be safe using a t procedure?
A. A histogram of the data shows moderate skewness.
B. The mean and median of the data are nearly equal.
C. A stemplot of the data has a large outlier.
D. The sample standard deviation is large.
The t procedure should not be used when there is a large outlier in the data or when the distribution shows moderate skewness. In these circumstances, the t procedure may not provide accurate results.
The t procedure assumes that the data is normally distributed. However, it can still be used under certain deviations from normality. The t procedure is robust to small departures from normality, so in the case of moderate skewness (option A), it can still provide reasonably accurate results. Skewness refers to the asymmetry of the distribution, and if it is only moderately skewed, the t procedure can be used.
However, there are situations where the t procedure should not be used. One such circumstance is when there is a large outlier in the data (option C). An outlier is an extreme value that differs significantly from the other observations. Large outliers can have a significant impact on the results of the t procedure, as it is sensitive to extreme values. In such cases, using the t procedure may lead to biased estimates or incorrect inferences.
Additionally, the sample standard deviation being large (option D) does not necessarily make the t procedure inappropriate. The t procedure is designed to handle variability in the data, including cases with larger standard deviations. As long as the other assumptions of the t procedure, such as normality and independence, are met, it can still be used effectively.
In summary, the t procedure should not be used when there is a large outlier in the data or when the distribution shows significant skewness. These situations can undermine the assumptions of the t procedure and may lead to inaccurate results.
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For which temperature will the model most accurately predict the time spent cooling? 0 100 300 400
The temperature that accurately describes the time that would have spent cooling is 300.
How to solve for the cooling time.We have the function as f(t) = 349.2(0.98)t
We have to solve for all of the values in the option
When t = 0
This would give us an infinite value for t hence it is not the answer.
When t = 100
we have 61.6
When t = 300
we have f(t) = 7.5
WHen t = 400
f(t) = -6.7
From the solved values the accurate one that has to talk about the time spent cooling is 300 at 7.5
Complete questionThe function f(t) = 349.2(0.98)t models the relationship between t, the time an oven spends cooling and the temperature of the oven. For which temperature will the model most accurately predict the time spent cooling? 0 100 300 400
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PLEASE HELP!!!!
Pythagorean Theorem
Answer:
Pythagorean Theorem is A^2+B^2=C^2
Step-by-step explanation:
Can I get some help..please?
Answer:
-2 and 21/50
Step-by-step explanation:
PEMDAS says that paranthases go first, so we solve 2 and 1/5 minus 33/12. 2 and 1/5 simplifies to the improper fraction, 11/5. Then we find a common denominater between 11/5 and 33/12 to get 60. 11/5=132/60, and 33/12=165/60. (132/60)-(165/60)=-33/60. Then we multipl that by 4 and 2/5, which can simplify to the improper fraction, 22/5. (22/5)*(-33/60) is -726/300, and simplifies to -2 and 21/50. Hope this helps!
a city has 8984 recycle bins the city gives half of the recycle bins to its citizens the rest of the recycle bins are divided into 25 groups for city parks .How many recycle bins are left over?
Answer:
7867867867878678
Step-by-step explanation:
uyityuityuituityuityuityui
a cylindrical silo is 70 feet high and its base is a circle of circumference 125.7 feet. what volume, to the nearest 100 cubic feet, of grain can be stored inside of it?
The Volume of the Cylindrical Silo is 88000 cubic feet
What is Volume?
Volume is a measurement of three-dimensional space that is occupied. It is frequently mathematically quantified using SI-derived units or different imperial or US customary units. The concept of length is linked to the definition of volume.
Solution:
Given:
Height of the Container = 70 feet
Circumference of the Base = 125.7 feet
To Find: Volume of the Container
Volume = πr²h
Circumference = 2πr
125.7 = 2 * 3.14 * r
r = 20.01
Volume = 3.14 * 20.01 * 20.01 * 70
Volume = 88007.94 cubic feet
Volume = 88000 cubic feet (approx)
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Math in the Real World Terrell plotted points on the coordinate plane as shown. He noticed that the points lie on a straight line. Write an equation that shows the relationship between the x- and y-coordinate of each point Terrell plotted. Then use the equation to find the y-coordinate of a point on the line with an x-coordinate of 20. YA 10 8 6 2 (5.2) (9,6) (8,5) (3, 0) 0 2 4 6 8 10 x
POINTS:50 (EMERGENCY!)
Help me out with this question!! 50 points
C
The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C
The correct answer is D) The first inequality should be s + h ≤ 1800.
The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.
The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.
PLEASE ANSWER ASAP THANKS
Work out and simplify where possible
3/10 + 1/3
3/4-2/11
Answer:
3/4 - 2/11 = 25/44
Step-by-step explanation:
To work out 3/10 + 1/3, we need to find a common denominator. The smallest common multiple of 10 and 3 is 30. So we can rewrite each fraction with a denominator of 30:
3/10 + 1/3 = 9/30 + 10/30 = 19/30
Therefore, 3/10 + 1/3 = 19/30.
To work out 3/4 - 2/11, we need to find a common denominator. The smallest common multiple of 4 and 11 is 44. So we can rewrite each fraction with a denominator of 44:
3/4 - 2/11 = 33/44 - 8/44 = 25/44
Therefore, 3/4 - 2/11 = 25/44
5, 2, – 1, –4,
What is the 20th term?
Answer:
-52 is the 20th term
Step-by-step explanation:
Which inequality is represented by the graph below?
Answer:
y ≤ -1/5x +1
Step-by-step explanation:
The line had an incline of -1/5 and the intersect with the y-axis is 1, so the line is given by
y = -1/5x +1
The indicated area in graph is below the line, so now you have enough to get the right inequality:
y ≤ -1/5x +1
A soccer ball is kicked across a field at an angle of 45° with an initial speed of 16m/s.
Determine how long the soccer ball was in the air.
1.94 s
3.89 s
2.16 s
O2.30 s
Answer:
it's C. 2.26s
but you wrote 2.16s nearly
The soccer ball was in the air for approximately 2.31 seconds. Rounding to two decimal places, the answer is approximately 2.30 seconds, option D.
How to determine how long the soccer ball was in the airTo determine how long the soccer ball was in the air, we can use the vertical motion of the ball. When a projectile is launched at an angle, its vertical motion can be analyzed separately from its horizontal motion.
In this case, the initial velocity of the soccer ball can be divided into vertical and horizontal components. The initial velocity in the vertical direction can be calculated using the sine of the launch angle:
Vertical component (Vy) = initial speed (v) * sin(angle)
Vy = 16 m/s * sin(45°)
Vy = 11.31 m/s
Now, we can use the vertical motion equation to find the time the ball spends in the air:
Vertical displacement (y) = Vy * time - (1/2) * gravity * time^2
Since the ball reaches the same vertical position when it lands as when it was launched, the vertical displacement is 0. Therefore, we can set the equation equal to zero:
0 = (11.31 m/s) * time - (1/2) * 9.8 m/s^2 * time^2
Simplifying the equation:
4.9 * time^2 = 11.31 * time
Dividing both sides by time:
4.9 * time = 11.31
time = 11.31 / 4.9
time ≈ 2.31 seconds
Therefore, the soccer ball was in the air for approximately 2.31 seconds. Rounding to two decimal places, the answer is approximately 2.30 seconds, which corresponds to option D.
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| 2p -1 | =45, what are the values of p?
Answer:
p = 23 and p = -22
Step-by-step explanation:
| 2p -1 | =45
Absolute value equations have 2 solutions, one positive value and one negative
2p-1 = 45 and 2p-1 = -45
Add 1 to all sides
2p-1+1 = 45+1 and 2p-1+1 = -45+1
2p = 46 2p = -44
Divide by 2
2p/2 = 46/2 and 2p/2 = -44/2
p = 23 and p = -22
what is the taxicab distance formula between 7,5 and 8 ,6
The taxicab distance formula between two points (x1, y1) and (x2, y2) is expressed as
distance = Ix1 - x2I + Iy1 - y2I
From the information given,
x1 = 7, y1 = 5
x2 = 8, y2 = 6
Distance = I7 - 8I + I5 - 6)
Distance = I- 1I + I- 1I = 1 + 1
Distance = 2
Isla has 225 trading cards and Lily has 180 trading cards. a) Calculate the number of Isla's trading cards as a percentage of the number of Lily's trading cards. b) Calculate the number of Lily's trading cards as a percentage of the number of Isla's trading cards. Give your answers to the nearest 1%.
(a) Isla's trading cards are 125% of Lily's trading cards.
(b) Lily's trading cards are 80% of Isla's trading cards.
Given that,
There are 225 trading cards and Lily has 180 trading cards.
To calculate the percentage of Isla's trading cards compared to Lily's,
We can use this formula:
⇒ Isla's trading cards / Lily's trading cards x 100%
Plugging in the values we get:
⇒ (225 / 180) x 100% = 125%
Therefore,
Isla's trading cards are 125% of Lily's trading cards.
b) To calculate the percentage of Lily's trading cards compared to Isla's, we can use the formula:
⇒ Lily's trading cards / Isla's trading cards x 100%
Plugging in the values we get:
(180 / 225) x 100% = 80%
Therefore,
Lily's trading cards are 80% of Isla's trading cards.
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-help me write an equation!!!
The absolute value function for this problem is given as follows:
g(x) = |x - 1| - 2.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
In which a is the leading coefficient.
The coordinates of the vertex for this problem are given as follows:
(1, -2).
As the slope of the line is of 1, the leading coefficient is given as follows:
a = 1.
Hence the absolute value function for this problem is given as follows:
g(x) = |x - 1| - 2.
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simplify the following numerical expression as much as possible. write your answer in exponential form. let a and b be positive integers. 23a x 23b
The simplified expression in exponential form would be 23^(a + b).
To simplify the numerical expression 23a x 23b, we can combine the like terms.
Step 1: Simplify 23a and 23b individually.
The expression 23a means multiplying 23 by a, and 23b means multiplying 23 by b. We cannot simplify them further because we do not have specific values for a and b.
Step 2: Combine the simplified terms.
When we multiply 23a by 23b, we multiply the coefficients (23 x 23) and the variables (a x b). Therefore, the simplified expression is:
(23 x 23) x (a x b)
Step 3: Calculate the coefficient and write the answer in exponential form.
The coefficient (23 x 23) is equal to 529. In exponential form, we can write it as 23^2. So the final simplified expression is:
23^2 x (a x b)
In summary, the simplified numerical expression 23a x 23b can be written as 23^2 x (a x b) in exponential form.
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Using the formula z=Kx/y
If z = 6 when x = 3 and y = 4, then what is z when x = 5 and y = 2?
Answer:
z=kx/y
zy=kx
zy/x=kx/x ( divided both side by x. to find k)
k=zy/x
k=6×4/3(z=6,y=4,x=3)
k=24/3
k=8
so z=kx/y
z=8×5/2(replace the numbers in the place of variables,k=8,x=5,y=2)
z=40/2
z=20
PLEASE HELP!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Based on the figure on the graph, match the described transformations with the transformed figures.
reflected across the x-axis
rotated 180° clockwise
translated 9 units to the
right and 2 units down
reflected across the y-axis
The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.
How to carry out transformation reflection?
From the given first image, we see that it is in the first quadrant but by the second image, we see that it is now mirrored along the horizontal axis. Thus, we can say that it is reflected across the x-axis.
After reflection, across the x-axis, we see that it was translated down by 2 units.
The last transformation is that we see it is now in quadrant 3 which means it was now reflected across the y-axis.
The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.
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What is the slope of the line represented by the equation 2y = 5x + 4? A. 2. 5 B. 2 5 C. 2 D. 5
Answer:
A i think
Step-by-step explanation:
The school finance committee has determined that a $28,000 facilities upgrade will be needed in 12 years. an alumnus has donated $20,000. if invested, will it grow to be enough?
Answer:
Step-by-step explanation:
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Skylar is going to invest $69,000 and leave it in an account for 6 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Skylar to end up with $105,000?
Answer
X = 7.2%
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Use area model to find the product of 26 x 14.
Answer: 364
Step-by-step explanation:
This is one question please help me I’ll mark as brainliest
5k>=10
What is the value of k?
Answer:
k ≥ 3
Step-by-step explanation:
Hope this helped! Have a nice day!
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