Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
The product of -8 and -4 is -32.
True False
Answer:
False
Step-by-step explanation:
-8 · (-4) = 32
The two negatives cancel each other out so the answer is positive.
Hope I helped :)
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4.4 a coin is biased such that a head is three times as likely to occur as a tail. find the expected number of tails when this coin is tossed twice.
To find the expected number of tails when the coin is tossed twice, we need to use the formula for expected value:
E(X) = ∑xp(x)
Where x is the possible outcome and p(x) is the probability of that outcome occurring.
Since a head is three times as likely to occur as a tail, the probability of getting a tail is 1/4 and the probability of getting a head is 3/4.
So, when the coin is tossed twice, there are four possible outcomes: two tails (TT), two heads (HH), one tail and one head (TH), and one head and one tail (HT).
The expected value of tails for each outcome is:
E(TT) = 2(1/4)(1/4) = 1/8
E(HH) = 0(3/4)(3/4) = 0
E(TH) = 1(1/4)(3/4) = 3/16
E(HT) = 1(3/4)(1/4) = 3/16
So the expected number of tails when the coin is tossed twice is:
E(X) = 1/8 + 0 + 3/16 + 3/16 = 7/16
Therefore, the expected number of tails when this coin is tossed twice is 7/16.
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Kyra wants to make the area of her rectangular closet 9 times larger than the size it currently is. What scale factor should she use to dilate the dimensions
of the closet?
A)Scale factor of 6
B)Scale factor of 12
C)Scale factor of 3
B)Scale factor of 9
Answer:
choice 3) scale factor of 3
Step-by-step explanation:
3 times length + 3 times width = 9 times area
The scale factor to dilate the dimensions of the closet would be; Scale factor of 3
How to calculate the scale factor?Suppose the initial measurement of a figure was x units.
And let the figure is scaled and new measurement is of y units.
Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.
Then we have:
\(s \times x = y\\s = \dfrac{y}{x}\)
the scale factor is the ratio of the new measurement to the old measurement.
Given that Kyra wants to make the area of her rectangular closet 9 times larger than the size it currently is.
Therefore, we have
3 times length + 3 times width = 9 times area
The correct option is 3) scale factor of 3
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3] Question 5 Consider the vector field F(x, y, z) = y cos (xy) i + x cos (xy)j – sin zk. (i) Calculate the curl of the vector field F. State whether F is conservative. (ii) Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve r(t) = n* i + t}j + tcos atk, 15t52. Calculate the scalar line integral of the vector field. F. dr. F.dr.
Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)
Now we calculate the partial derivatives as follows,
∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...
and,
∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0
Therefore,
∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j
The curl of F is given by:
(cos(xy) - xy sin(xy)) i - sin(z)j.
To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:
r(t) = n* i + t}j + tcos atk, 15t52.
The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t
= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt
= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt
= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt
= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1
= sin(a) sin(n) - (a/2) cos(2a)
The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).
The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).
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x and y are in direct proportion.
What number should go in the box to complete the equation of proportionality?
y
When x and y are in direct proportion, they are connected by a constant 'k' such that y = kx. To find 'k', you divide the known y-value by the corresponding x-value. However, without any given pair of x and y in your question, the exact number to place in the box cannot be determined.
Explanation:When x and y are in direct proportion, it means there is a constant, often written as 'k', which when multiplied by x gives y. This can be written as y = kx. To find the number that should go in the box (that is, find the value for 'k'), you need to know both a pair of x and y values. Let's say for example that x = 2 and y = 4, then y = kx becomes 4 = k * 2. By solving this equation, we understand that k = 2. So, In this example, the number '2' should go in the box. However, without specific x and y values provided in your question, the exact number to place in the box can't be determined.
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Find the indicated measure. Round to the nearest hundredth, if necessary.
Answer:
1.99 radians or 114.02°
Step-by-step explanation:
You want the measure of a circular arc of length 23.88 inches and radius 12 inches.
Arc lengthThe equation relating angle, radius, and arc length is ...
s = rθ . . . . . . s = arc length, r = radius, θ = central angle in radians
Solving for θ gives ...
θ = s/r = (23.88 in)/(12 in) = 1.99 radians
The corresponding arc measure in degrees is ...
1.99 radians × 180°/π ≈ 114.02°
The measure of arc AB is 1.99 radians, about 114.02°.
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Alisha asked 120 students what kind of pet they liked the most. Exactly 45% of the students said they liked dogs best. What was the total number of students who said they liked dogs best?
Answer: 54 People said they liked dogs the best.
Step-by-step explanation:
Answer:
54 dogs
Step-by-step explanation:
When calculating npv, the present value of the nth cash flow is found by dividing the nth cash flow by 1 plus blank______ rate raised to the nth power.
The discount rate raised to nth power.
What is NPV?NPV is defined as Net Present Value. It is mainly used in capital budgeting and investment planning for the purpose of analyzing the project profit. NPV is the difference between the present value of cash inflows and the present value of cash outflows in a period of time. The occurrence of cashflows in a series at different times is termed as NPV. NPV is a measure widely used in finance and commercial real estate. It is used to help taking decisions in accounting calculation. The cashflow that is discounted can be termed as NPV.
A simple example for NPV is, If a security offers a series of cashflows with an NPV of $30,000 and an investor pays exactly $30,000 for it, then the investor's, NPV is $0.
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What is the solution to the system of equations y =- 3x 2 5x 2y 15?
The solution for system of equation provided as per the given question will be x = -19 and y = 55 or (-19,55).
It is given that the equations are:
y = –3x – 2
Simplifying it further, we get:
y + 3x = -2 (equation 1)
5x + 2y = 15 (equation 2)
Multiplying y + 3x = -2 by 2 and subtracting from 5x + 2y = 15, we get:
2y - 2y + 5x -6x = 15 + 4
-x = 19
x = -19
Plugging the value of x in the equation y + 3x = -2, we get:
y + 3 × - 19 = -2
y - 57 = -2
y = -2 + 57
y = 55
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The ratio of boy to girl who play kickball at rece i 6 to 2. There are 18 girl on the team. What i the nu
mber of boy who play kickball at rece?
The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.
The ratio of boy to girl who play kickball at race is 6 to 2
6 boys: 2 girls
Multiply the number of girls by the ratio:
18 girls x (6 boys / 2 girls) = 18 x 3 = 54
Subtract the number of girls from the total to get the number of boys:
54 - 18 = 36
Therefore, there are 12 boys who play kickball at race.
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Can someone help me solve this?
The function is an exponential growth since it is increasing with time and k is positive
What is exponential growth?
Given that at t =6, P = 167075
Then;
167075 =110.8e^6k
167075/110.8 = e^6k
1507.9 = e^6k
ln(1507.9) = 6k
k = ln(1507.9)/6
k = 1.2
Thus in the year 2020;
P = 110.8e^20(1.2)
P = 2.9 * 10^12
In the year 2025;
P = 110.8e^25(1.2)
P = 1.18 * 10^15
To reach 290,000
290,000 = 110.8e^1.2t
290000/110.8 = e^1.2t
2617.3 = e^1.2t
t = ln(2617.3 )/1.2
t = 7 years
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Solve x^2 -24 = -80 by completing the square.
What is the solution set of the equation?
A.(2,40)
B.(4,20)
C.(5,16)
D.(8,10)
Answer:
B.(4,20)
Step-by-step explanation:
Given: \(x^2 -24x = -80\)
To solve the quadratic equation by completing the square, we follow these steps.
Step 1: Divide the coefficient of x by 2
\(-\dfrac{24}{2}=-12\)
Step 2: Square your result fro Step 1
\((-12)^2\)
Step 3: Add the result form step 2 to both sides of the equation
\(x^2 -24x+(-12)^2 = -80+(-12)^2\)
Step 4: Rewrite the Left hand side in the form \((x+k)^2\)
\((x-12)^2=-80+144\\(x-12)^2=64\)
Step 5: Take square roots of both sides
\(x-12=\pm \sqrt{64}\)
Step 6: Solve for x
\(x=12\pm \sqrt{64}\\=12\pm8\\x=12+8$ or x=12-8\\x=20 or x=4.\)
Therefore, the solution set of the equation is (4,20).
Compare the expressions (8+3^2-2⋅6)/(7-1⋅2) and (3/4+1/8)÷1/8-2^2 using , =, or . Show your work.
Comparing the expressions (8 + 3^2 - 2⋅6 ) / (7 - 1⋅2) and (3/4 + 1/8) ÷ 1/8 -2^2 shows that (8 + 3^2 - 2⋅6 ) / (7 - 1⋅2) < (3/4 + 1/8) ÷ 1/8 -2^2
How to compare the expressionThe given expression is (8 + 3^2 - 2⋅6 ) / (7 - 1⋅2) and (3/4 + 1/8) ÷ 1/8 -2 ^2
The expression is first simplified using PEMDAS then compared
The math question is solved using the idea of PEMDAS which is an acronym for order of arrangement of mathematical operations as
the full meaning include
P - parenthesis
E - exponents
M - multiplication
D - division
A - addition
S - subtraction
applying the sequence the problem is solved as follows
the first part
= (8 + 3^2 - 2⋅6 ) / (7 - 1⋅2)
= (8 + 9 - 2.6) / (5.8)
= 14.4/5.8
= 72/29
= 2.4828
the second part
= (3/4 + 1/8) ÷ 1/8 -2 ^2
= 7/8 ÷ 1/8 - 4
= 7 - 4
= 3
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Your teacher is giving you a test tomorrow with 2- and 4-point questions for a total of 100 points. The number of 4 points questions is one-third the number of 2-point questions. How many 2- and 4-point questions are on the test?
Answer:
25 4-point questions and 75 2-point questions
Step-by-step explanation:
Let x = no. of 4-point questions
Then 3x = no. of 2-point questions
So, x + 3x = 100
4x = 100
x = 25 = no. of 4-point questions
and 3x = 3(25) = 75 = no. of 2-point questions
7x + 10 < 52 please help me out
Answer:
x < 6Step-by-step explanation:
7x + 10 < 527x < 52 - 107x < 42x < 6MARK ME AS BRAINLISTIf -8-8y=6-2y, what is the value of y?
Answer:
-7/3
Step-by-step explanation:
The first step is to combine like numbers. Although there are several different ways to go about doing this, I started by adding 2y to both sides which left me with -8-6y=6. I then added 8 to both sides and got 6y=14. Now divide 6 on both sides to get "y" by itself which left me with y = -14/6. When you simplify the answer you get -7/3.
Can a negative number have a greater absolute value than a positive number? Explain your thinking.
Answer:
Yes
Step-by-step explanation:
The answer is yes because say you have the number -10 and the number 5
the absolute value of -10 is 10 and the absolute value of 5 is 5 so the absolute value of the negative number -10 is greater than that of the positive number 5
Yes, a negative number can have a greater absolute value than a positive number.
What is absolute value?Absolute value is defined as the magnitude or size of a number, no negatives are allowed.
Consider the numbers -12 and 5.
The absolute value of -12 is 10 and the absolute value of 5 is 5, the negative number -12 has a greater absolute value than the positive number 5.
When an absolute value is used in a problem or equation, it signifies that whatever is contained within the absolute value is always positive. Absolute values are frequently utilized in distance and are usually used with inequalities.
Thus, a negative number can have a greater absolute value than a positive number.
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Test if the slope significant for the next values. β1=0.0943 , seβ1=0.107 and alpha 0.05.
6. Write the null and alternative hypothesis. (2 points
7. Calculate t-test statistic 8. Write tc, degrees of freedom and decision rule. 9. Conclusion.
The null and alternative hypotheses are:
H0: β1 = 0 (The slope is not significant.)
H1: β1 ≠ 0 (The slope is significant.)
Here,β1=0.0943seβ1=0.107α=0.05
Test the slope significance and find the t-test statistic.
We need to find the t-test statistic so that we can compare it with the t-distribution, whose distributional properties we know, to determine if we can reject or fail to reject the null hypothesis.t-test statistic is calculated by dividing the value of β1 by its standard error (seβ1) and taking the absolute value of this quotient.
t-test statistic = | β1/seβ1 | = |0.0943/0.107| = 0.881
The degrees of freedom (df) associated with this t-test are df = n - 2, where n is the sample size for the explanatory variable x.
In this problem, the decision rule and conclusion are as follows:
Decision Rule: Reject the null hypothesis if |t-test statistic| > tc where tc is the critical value obtained from the t-distribution with df degrees of freedom and a significance level of α/2 in each tail.
Conclusion: The slope is not significant if we fail to reject the null hypothesis, but the slope is significant if we reject the null hypothesis. Since the t-test statistic (0.881) is less than the critical value (1.987), we fail to reject the null hypothesis. Therefore, we conclude that the slope is not significant.
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HELP ME NOW PLEASE ASAP HURRY
Answer:
Step-by-step explanation:
76
Answer:
34 degrees
Step-by-step explanation:
72+74= 146 180-146=34
Does the point (–4, 0) satisfy the equation y = x + 4?
By substitution, the point (–4, 0) satisfy the equation y = x + 4.
The equation y = x + 4 is a linear equation, meaning it represents a straight line in the coordinate plane. To graph this equation, we could plot several points that satisfy the equation and then draw a line through those points.
To determine if a point satisfies an equation, we substitute the x and y values of the point into the equation and see if the equation is true. If the point satisfies the equation, then that point is a solution of the equation.
Given the point (–4, 0), we substitute the values into the equation y = x + 4:
y = x + 4
0 = -4 + 4
0 = 0
This equation is true, so the point (–4, 0) satisfies the equation y = x + 4.
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the baggage weights for passengers using a domestic airline are normally distributed with a mean of 22 lbs. and a standard deviation of 4 lbs. assume that the limit on total luggage weight is 2250 lbs. if 100 passengers are aboard the airline, what is the probability that their total baggage weight exceeds the limit?
The probability that the total baggage weight exceeds the limit is 0.1056.
The normal distribution is a continuous probability distribution with most values located close to the center peak and is symmetrical around its mean.
For example, heights, measurement errors, blood pressure, and IQ scores are normally distributed because the majority of people have these values close to the standard value.
Here, the mean \(\mu\) is 22 lbs, the standard deviation \(\sigma\) is 4 lbs, and the sample size n is 100.
The total baggage weight of the passengers is represented as \(\sum x\).
Then,
\(\begin{aligned} P\left(\sum x > 2250\right) &= P\left(\frac{\sum x}{ n} > \frac{2250}{100}\right)\\& = P( \bar{X} > 22.5) \end{aligned}\)
We know, that \(z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\)
So, representing in a normal distribution,
\(\begin{aligned}P\left[z > \frac{(22.5 - 22)}{\frac{4}{\sqrt100}}\right] &= P(z > 1.25) \\&= 0.1056\end{aligned}\)
From the z-distribution table, the value for z>1.25 is 0.1056.
Therefore, the answer is 0.1056.
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Anna makes orange squash by mixing 50 ml of squash with 850 ml of water.
Jeevan makes orange squash by mixing 60 ml of squash with 1110 ml of water.
Whose squash is the stronger? Explain your answer
A research request agreement includes all of the following items EXCEPT A. the scales for the measures. B. the decision problem confronting the manager. C. the target population from which a sample will be drawn. D. an approximation of the time and expense of the research report. E. All of the above are included in a research request agreement.
The correct answer is D. an approximation of the time and expense of the research report.
A research request agreement typically includes all of the following items:
A. the scales for the measures: This refers to the specific measurement scales or instruments that will be used to collect data in the research.
B. the decision problem confronting the manager: This outlines the specific problem or issue that the research aims to address and provide insights for decision-making.
C. the target population from which a sample will be drawn: This defines the specific group or population that the research will focus on and from which a representative sample will be selected.
D. an approximation of the time and expense of the research report: This item is not typically included in a research request agreement. The time and expense of the research report are usually discussed separately during project planning and budgeting.
Therefore, the correct answer is D. an approximation of the time and expense of the research report.
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Imagine you are walking along a forest path. Which of the following is not an action-reaction pair in this situation?a. the gravitational force between you and Earth; the gravitational force between Earth and you.b. your shoe pushing back on Earth; Earth pushing forward on your shoec. your foot pushing back on the inside of your shoe; your shoe pushing forward on your footd. you pushing down on Earth; Earth pushing you forward 1
When we are walking along the forest, the action-reaction pair that will not occur is d) you pushing down on earth and earth pushing you forward.
According to Newton's third law of motion, two bodies exert equal and opposite forces on each other in every interaction. These forces form action-reaction pairs.
Examples of action-reaction combinations/pairs include: pushing the ball with the gun - the ball pushes the gun back (recoil), or the player applies hand force to the ball and throws the ball forward - the ball pushes back with the hand. The properties of action-reaction pairs are: They must arise from the same interaction. The acting force and the reaction force are equal. Action and reaction forces are directed in opposite directions. The forces act on different bodies and are therefore unbalanced.
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Determine the intervals on which the following function is concave up or concave down. Identify any inflection points. f(x) = x4 - 2x3 +2 = Determine the intervals on which the given function is conca
To determine the intervals on which the function \(f(x) = x^4 - 2x^3 + 2\) is concave up or concave down and identify any inflection points, we need to analyze the second derivative of the function. plugging in x = 0.5 into \(12x^2 - 12x\) gives us a negative value, so the function is concave down on the interval (0, 1).
First, let's find the second derivative by taking the derivative of f'(x):
\(f'(x) = 4x^3 - 6x^2\)
\(f''(x) = 12x^2 - 12x\)
To find where the function is concave up or concave down, we need to examine the sign of the second derivative.
Determine where \(f''(x) = 12x^2 - 12x > 0:\)
To find the intervals where the second derivative is positive (concave up), we solve the inequality\(12x^2 - 12x > 0:\)
12x(x - 1) > 0
The critical points are x = 0 and x = 1. We test the intervals (−∞, 0), (0, 1), and (1, ∞) by picking test values to determine the sign of the second derivative.
For example, plugging in x = -1 into \(12x^2 - 12x\) gives us a positive value, o the function is concave up on the interval (−∞, 0).
Determine where\(f''(x) = 12x^2 - 12x < 0:\)
To find the intervals where the second derivative is negative (concave down), we solve the inequality \(12x^2 - 12x < 0:\)
12x(x - 1) < 0
Again, we test the intervals (−∞, 0), (0, 1), and (1, ∞) by picking test values to determine the sign of the second derivative.
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A loaf of bread has 21 grams of carbohydrates for every 3 grams of protein how many grams of protein does it have for each gram of corbohydrates
The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.5, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with a standard deviation of 0.5.
a. What is the mean (±0.1)(±0.1) of the average number of moths ¯x�¯ in 30 traps?
b. What is the standard deviation? (±0.001)(±0.001)
c. Use the central limit theorem to find the probability (±0.01)(±0.01) that the average number of moths in 30 traps is greater than 0.4.
The following values are as follows: a) Mean = 0.6, b) standard deviation = 0.073 and c) Probability is 0.0855
a) As the number of samples is large enough which is up to 30 then the mean of the average number of moths in 30 traps is given as 0.6, given from the central limit theorem.
b) The population deviation divided by the square root of the sample size gives the standard deviation value.
standard derivation = σ/ \(\sqrt{n}\) = 0.4 / \(\sqrt{30}\) = 0.4/ 5.477 = 0.073
c) The probability that an approximately normally distributed data with the standard deviation, σ, with a sample size of n is greater than a number, x, and a mean, μ, is given by
1 - P (X < x)= P (X > x)
= 1 - P(z< x- µ/ σ/\(\sqrt{n}\))
Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that the average number of moths in 30 traps is greater than 0.7 is given by:
1 -P (X - 0.7) = P (X > 0.7)
= 1 - P(z < \(\frac{0.7-0.6}{0.073}\)) = 1 - P(z < 1.369)
= 1 - 0.91455 = 0.0855
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1. a) From the given figure , write the vertically opposite angle of ABC
Answer:
Angle XBY
Step-by-step explanation:
Look at the angle exactly opposite ABC. It would be XBY so that's your answer. Small note; vertically opposite angles are equal in magnitude
Identify whether the relationship between a and b in the image below is complementary, or linear pair/supplementary.
I’m thinking it’s complementary?
Answer:
Complementary angles.
Step-by-step explanation:
Complimentary angles means sum of angles = 90°
Supplementary angles of linear pair means sum of pair of angles = 180°
As shown in the picture attached, sum of both the angles 'a' and 'b' is equal to 90°,
a + b = 90°
Angles 'a' and 'b' will be complementary angles.
PLZ HELP WITH THIS, I'LL MARK BRAINLIEST
Answer:
With something like this you have to start out with 3 givens. what I do for these specific kinds of questions is just put something random in the first half, then put something random twice in the second slot, click clear, then it'l give you a button that says "clear" then a little after it'll say "hint" or "demo" the click those buttons and just put the second half in something random until it pops off, this works every time and will allow you to go to the next task.
Step-by-step explanation:
May I have brainliest please? :)
Answer:
Statement: ∠1 ≅∠2
Reason: When two parallel lines are cut by a transversal, alternate exterior angles are congruent
Step-by-step explanation: