Suppose a horticulturist measures the aboveground height growth rate of four different ornamental shrub species grown in a greenhouse. The shrubs were grown from a random sample of seeds, and they were all grown in the same soil mixture and in the same size pot. To ensure that any slight differences in the environmental conditions throughout the greenhouse are not confounded with species, she randomizes the location of the pots throughout the greenhouse. The table contains a summary of her data. Population Sample Sample Sample Population description size standard deviation 17.153 cm/year 2.666 cm/year x2 = 13.983 cm/year s2-3.605 cm/year 15.120 cm/year3 3.774 cm/year x4-14.328 cm/year s.-3.011cm/year mean 1 Species 1 n1-20 Species 2 n2=20 3 Species 3 n 20 Species 4 n4-20 The growth rate distributions of each sample are approximately normal, and the data do not contain outliers. The horticulturist uses a one-way analysis of variance (ANOVA) at a significance level of a 0.05 to test if the mean growth rates of all four species are equal. Her results are shown in the table. Source of variation Between groups Within groups Total ss MS p-valuef-critical 120.988 3 40.329 3.7160.0152.725 824.710 76 10851 945.697 79Complete the sentence to state the decision and conclusion of horticulturist test.The decision is to ________the ___________at a significant level of________ α=0.05 There is _______ evidence to conclude that __________ is__________.
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
The decision is to reject the null hypothesis at a significant level of significance [tex]\alpha = 0.05[/tex] There is sufficient evidence to conclude that at least one of the population mean is different from at least of the population
Step-by-step explanation:
From the question we are told that the claim is
The mean growth rates of all four species are equal.
The null hypothesis is
[tex]H_o : \mu _1 = \mu_2 = \mu_3 = \mu_4[/tex]
Th alternative hypothesis is
[tex]H_a: at \ least \ one \ of \ the \ means \ is \not\ equal[/tex]
From question the p-value is [tex]p-value = 0.015[/tex]
And since the [tex]p-value < \alpha[/tex] so the null hypothesis will be rejected
So
The decision is to reject the null hypothesis at a significant level of significance [tex]\alpha = 0.05[/tex] There is sufficient evidence to conclude that at least one of the population mean is different from at least of the population
Related Questions
Describe the sampling distribution of p(hat). Assume the size of the population is 30,000.
n=800, p=0.6
a) Determine the mean of the sampling distribution
b) Dtermine the standard deviation of the sampling distribution
Answers
Answer:
a) [tex]\mathbf{\mu_ \hat p = 0.6}[/tex]
b) [tex]\mathbf{\sigma_p =0.01732}[/tex]
Step-by-step explanation:
Given that:
population mean [tex]\mu[/tex] = 30,000
sample size n = 800
population proportion p = 0.6
a)
The mean of the the sampling distribution is equal to the population proportion.
[tex]\mu_ \hat p = p[/tex]
[tex]\mathbf{\mu_ \hat p = 0.6}[/tex]
b)
The standard deviation of the sampling distribution can be estimated by using the formula:
[tex]\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]\sigma_p = \sqrt{\dfrac{0.6(1-0.6)}{800}}[/tex]
[tex]\sigma_p = \sqrt{\dfrac{0.6(0.4)}{800}}[/tex]
[tex]\sigma_p = \sqrt{\dfrac{0.24}{800}}[/tex]
[tex]\sigma_p = \sqrt{3 \times 10^{-4}}[/tex]
[tex]\mathbf{\sigma_p =0.01732}[/tex]
The mean of a distribution is the average of the distribution.
The mean is 480The standard deviation is 13.86The given parameters are:
[tex]\mathbf{n = 800}[/tex]
[tex]\mathbf{p = 0.6}[/tex]
(a) The mean
This is calculated as:
[tex]\mathbf{\bar x = np}[/tex]
So, we have:
[tex]\mathbf{\bar x = 800 \times 0.6}[/tex]
[tex]\mathbf{\bar x = 480}[/tex]
Hence, the mean is 480
(b) The standard deviation
This is calculated as:
[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]
So, we have:
[tex]\mathbf{\sigma = \sqrt{480 \times (1 - 0.6)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{480 \times 0.4}}[/tex]
[tex]\mathbf{\sigma = \sqrt{192}}[/tex]
Take square roots
[tex]\mathbf{\sigma = 13.86}[/tex]
Hence, the standard deviation is 13.86
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Determine the location and value of the absolute extreme values of f on the given interval, if they exist.f(x)=3sin^(2)x
Answers
Answer:
Hello your question lacks the required option below is the diagram of the complete question with the options
answer : The absolute minima is 0 at x = (0,π ) the absolute maxima is 3 at x = [tex]\frac{\pi }{2}[/tex] ( B )
Step-by-step explanation:
Attached below is the detailed solution of the problem
The absolute minima is 0 at x = (0,π ) the absolute maxima is 3 at x = [tex]\frac{\pi }{2}[/tex] ( B )
The length of a rectangle is 10, and the width is x - 2. If the area of the rectangle is 80sq cm, find
the dimensions.
Answers
Answer:
Length = 10 cm
Width = 10-2 = 8 cm
Step-by-step explanation:
Area formula (L)(W)
80 = 10(x-2)
80 = 10x - 20
Add 20 to both side
100 = 10x
x= 10
Length = 10 cm
Width = 10-2 = 8 cm
examples of parallel lines
Answers
Answer:
what idea and experience do you get after being lockdown for long three or four months due to corona virus. write your experience in the form of article that is published in school magazine on the topic lack of physical activity.
Step-by-step explanation:
Answer:
Parallel lines are two lines that are facing the same direction and never intersect.
Step-by-step explanation:
for example, the number II
those are two ones are straight lines pointing the same direction, and no matter how long they go on they will never touch.
Select the correct answer.
Answers
Answer:
tan C = 3/2
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan C = 3/2
Answer:
C
Step-by-step explanation:
The only way we can get 3/2 as a trigonometric ratio is as
tan c = O/A = 3/2
The rest don't work because sin and cos, uses the hypotenuse. The hypotenuse is 3.61 which is not either of the numbers in the ratio.
Only 2 and 3 work which are not in the hypotenuse.
An investment of $8,000 earns interest at an annual rate of 7% compounded continuously. Complete parts (A) and (B) below. Click the icon to view the derivatives of exponential and logarithmic functions.
(A) Find the instantaneous rate of change of the amount in the account after 2 year(s). $ (Round to two decimal places as needed).
(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000. $ (Round to two decimal places as needed).
Answers
Answer:
A. [tex]\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}[/tex]
B. [tex]\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }[/tex]
Step-by-step explanation:
Given that:
An investment of Amount = $8000
earns at an annual rate of interest = 7% = 0.07 compounded continuously
The objective is to :
A) Find the instantaneous rate of change of the amount in the account after 2 year(s).
we all know that:
[tex]A = Pe^{rt}[/tex]
where;
[tex]A = (8000) \ e ^{0.7t}[/tex]
The instantaneous rate of change = [tex]\dfrac{dA}{dt}[/tex]
[tex]\dfrac{dA}{dt} = \dfrac{d}{dt}(8000 \ e ^{0.07t} )[/tex]
[tex]= 8000 \dfrac{d}{dt}e^{0.07 \ t}[/tex]
[tex]\dfrac{dA}{dt}= 8000 (0.07)e^{0.07 \ t}[/tex]
[tex]\dfrac{dA}{dt}= 560 e^{0.07 \ t}[/tex]
At t = 2 years; the instantaneous rate of change is:
[tex]\dfrac{dA}{dt}|_{t=2}= 560 e^{0.07 \times 2}[/tex]
[tex]\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}[/tex]
(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000.
Here the amount = 12000
[tex]12000 = (8000)e^{0.07 \ t}[/tex]
[tex]\dfrac{12000 }{8000}= e^{0.07 \ t}[/tex]
[tex]1.5= e^{0.07 \ t}[/tex]
㏑(1.5) = 0.07 t
0.405465 = 0.07 t
t = 0.405465 /0.07
t = 5.79
[tex]\dfrac{dA}{dt}= 560 e^{0.07 \ t}[/tex]
At t = 5.79
[tex]\dfrac{dA}{dt}|_{t = 5.79}= 560 e^{0.07 \times 5.79}[/tex]
[tex]\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }[/tex]
PLEASE HELP!
Determine if the statement below is true or false.
If it is false, rewrite it so it is true.
Rewriting sqrt of -10 in terms of i results in -10i
A. This statement is true
B. This statement is false. Rewriting sqrt of -10 in terms of i results in sqrt of 10i
C. This statement is false. Rewriting sqrt of -10 in terms of i results in sqrt of -10i
D. This statement is false. Rewriting sqrt of -10 in terms of i results in 10i
Answers
Answer:
B
Step-by-step explanation:
So we have the expression:
[tex]\sqrt{-10}[/tex]
And we want to rewrite it in terms of i. Recall that i is:
[tex]i=\sqrt{-1}[/tex]
Therefore, we can simplify the expression as:
[tex]\sqrt{-10}=\sqrt{-1\cdot10}=\sqrt{-1}\cdot\sqrt{10}=i\sqrt{10}[/tex]
Therefore, the statement given is not correct.
And the correct answer is B.
The length of one side of a square is increased by 1 cm and that of the other side is reduced by 3 cm. The rectangle now formed has a perimeter of 64 cm. What is the length of the side of the original square?
Answers
Answer:
17
Step-by-step explanation:
let the side of square be x then length and breadth of rectangle will be x+1 and x-3
perimeter of rectangle=2(l+b)
64=2(x+1+x-3)
32=2x-2
x=17
The function h(x)= 12x^8+ 49 is an even function. Which transformation of h(x) would result una function that is neither even or odd?
Answers
Answer:
- reflecting over x -axis
Step-by-step explanation:
Given equation
[tex]$ h(x) = 12x^8 +49 $[/tex]
Now, [tex]$ h(-x) = 12(-x)^8 +49 $[/tex]
= [tex]$ - 12x^8 +49 $[/tex]
Therefore, h(x) ≠ h(-x) ≠ -h(-x)
So, the function is neither odd nor even.
Therefore, reflecting the equation over x - axis would result a function that in neither even nor odd.
Answer:
Reflecting over x axis
What is two more than 4 times a number is -18 translated and solved
Answers
Answer:
n=-5
Step-by-step explanation:
Let "n" represent the unknown number.
So, the equation asks for 4n and two more, or +2, that is all equal to -18.
So, your equation will be:
[tex]4n+2=-18[/tex]
First, subtract 2 from both sides:
[tex]4n+2-2=-18-2\\4n=-20[/tex]
Then, divide both sides by 4:
[tex]\frac{4n}{4}=\frac{-20}{4}\\n=-5[/tex]
Therefore, n=-5.
Ivan is an artist. He creates 1 sculpture for every 5 paintings. If he has created 30 paintings, how many sculptures has he created?
Answers
Answer: Ivan has created 6 sculptures.
Step-by-step explanation:
If Ivan creates 1 sculpture for every 5 paintings and he makes 30 paintings.
30 divided by 5 =6
30 being the total
5 being how much for one
6, the answer, being for the total amount of sculptures.
f(x)=x^2+7x-30
I need to solve it
Answers
Answer:
x = 3, -10
Step-by-step explanation:
Step 1: Write out quadratic
f(x) = x² + 7x - 30
Step 2: Set quadratic equal to 0
0 = x² + 7x - 30
Step 3: Factor quadratic
0 = (x - 3)(x + 10)
Step 4: Find roots
x - 3 = 0
x = 3
x + 10 = 0
x = -10
PLEASE HELP
Which statement about the function y = –2x3 is correct?
A. The function is nonlinear and could be made linear by changing -2 to 2.
B. The function is nonlinear and could be made linear by changing 3 to 1.
C. The function is linear and could be made nonlinear by changing -2 to 2.
D. The function is linear and could be made nonlinear by changing 3 to 1.
Answers
Answer:
B.
Step-by-step explanation:
So we have the function:
[tex]y=-2x^3[/tex]
As we can see, the degree of this function is 3. This is a cubic function. In other words, this is nonlinear. Let's go through each of the choices:
Already, we can eliminate C and D since the function is nonlinear as it's a cubic function. So, we only need to check A and B.
A: If we change the -2 to 2 like so:
[tex]y=-2x^3\\y=2x^3[/tex]
The function remains a cubic. The only thing we've changed is how the graph is oriented. With -2, the graph goes from top to bottom. With 2, the graph goes from bottom to top. Nevertheless, it's still a cubic function. What we need to change is the exponent and not the coefficient. A is not correct.
B: If we change the 3 to 1 like so:
[tex]y=-2x^3\\y=-2x^1\\y=-2x[/tex]
This is now a linear equation. The degree is 1 and as you can probably picture, it's a downwards sloping line. The correct answer is B.
Which sets of ordered pairs represent functions from A to B? (Select all that apply.) A = {a, b, c} and B = {3, 4, 5, 6}
Answers
Answer:
See Explanation
Step-by-step explanation:
The question has mission options; However, the question is still solvable.
Given
[tex]A = \{a,b,c\}[/tex]
[tex]B = \{3,4,5,6\}[/tex]
Required
Determine possible ordered pairs of A to B
A function is of the form (x,y)
Let A be the range of the function and B, the domain
Let (x,y) be a function of A to B, where x represents any of the values in A sets and y represents any of the values in B
A ordered pair can only be regarded as a function if and only if it has unique y-values
Hence, a possible ordered pair is:
[tex](A,B) = \{(a,3),(b,4),(c,5)\}[/tex]
Another possible ordered pair is
[tex](A,B) = \{(a,4),(b,5),(c,6)\}[/tex]
Note that there as as many as possible ordered pair as long as the y-values are unique
There are many possible ordered pair as long as the y-values are unique.
A function is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.A functions from A to B represent A as domain and B as range of function.Given that, A = {a, b, c} and B = {3, 4, 5, 6}
Order pair may be,
[tex](a,3),(b,4),(c,5)[/tex]
May be, [tex](a,6),(b,5),(c,4)[/tex]
There are many possible ordered pair as long as the y-values are unique.
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Wich expression is equivalent?
Answers
Answer:
2.56p
Step-by-step explanation
Because the variable is the same for every input, and are all addition, you can just all them all together. You must remember p = 1p
Hope this helps!
-The Business Man
Answer:
2.26p
Step-by-step explanation:
0.7p + p + 0.56 p (The coefficient is 1)
0.7p + 1p + 0.56p (Collect the like terms)
(0.7 + 1 + 0.56)p
Calculate the sum
And this brings you to your answer: 2.26p
How many grams of apples does it show?
Answers
Answer:
901 grams
Hope it helps
What is required for two triangles to be similar?
Answers
Answer:
1.the corresponding angles are propositional
2.the corresponding sides are proportional
The properties of similar triangles is the corresponding angles are congruent and the corresponding sides are proportional.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio or proportional.
Properties of similar trianglesThe properties of similar triangles include the following;
1. The corresponding angles are congruent
2. The corresponding sides are proportional
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help plsssssssssss I just need the number not the whole thing I'll give mark the u the brainliest giving 50 points tyyy <3
Answers
Answer:
[tex]\Huge \boxed{15}[/tex]
Step-by-step explanation:
[tex]((2+3) \times 3) \div 5(2+3)[/tex]
Solving the brackets.
[tex](5 \times 3) \div 5(5)[/tex]
[tex]15 \div 5(5)[/tex]
Dividing and simplifying.
[tex]3(5)[/tex]
[tex]15[/tex]
Answer:
15
Step-by-step explanation:
(2 + 3) * 3
= --------------- x (2 + 3)
5
5 * 3
= -------- x 5
5
= 15
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution?
Answers
Answer:
we have 8 quarts of 40% antifreeze,
according to the britain equivalent, 1 quart = 1.13L
so, we have 8 * 1.13L = 9.04 L
out of the 9.04 L, 40% is antifreeze
amount of antifreeze = 0.4 * 9.04 = 3.616 L
moles of antifreeze present = 3.616/22.4 = 0.16 moles
moles of antifreeze in 60% solution = 0.6 * v/22.4 = 0.027 * v
(where v is the volume of final solution)
molarity of initial solution = 0.16/9.04 = 0.018 M
molarity of final solution = 0.027*v/v = 0.027 M
m1*v1 = m2*v2
0.018 * 9.04 = 0.027 * v
v = 0.018 * 9.04/0.027
v = 6.026 L
amount if antifreeze in the final solution = 6.026 * 0.027 =
0.163 Moles of antifreeze
amount in L = 0.163 * 22.4 = 3.65 L
amount in quarts = 3.65/1.13 = 3.23 quarts
find the mean of 1.8, 1.7, 1.3, 1.1, 1.2, 1.6, 1.8,
Answers
Answer:
Sum: 10.5 Arithmetic mean (Simple Average):1.5 Median: 1.6 Range: 0.7 Variance: 0.09 Standard Deviation: 0.09 =0.29
The answer is 0.29
hope this helped
A magician asks an audience member to pick any number from 6 to 15.
What is the theoretical probability that an individual chooses the number the magician has in mind?
Answers
Answer:
1/10
Step-by-step explanation:
6,7,8,9,10,11,12,13,14,15
ten TOTAL possible numbers= denominator
chance of picking the ONE possible number in mind= numerator
1/10
The probability is 1/10.
What is probability?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Given:
A magician asks an audience member to pick any number from 6 to 15
Possible outcome = {6,7,8,9,10,11,12,13,14,15}
So, chance of picking the number the magician has in mind = numerator
hence, the theoretical probability is = 1/10.
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the copy machine at the library made a copy of leslie's 3 page essay in just 1/10 of a minute. what is the speed of the copy machine?
Answers
Answer:
30page essay/minStep-by-step explanation:
Speed is the change in distance of a body with respect to time.
Speed = Distance/Time
If the library made a copy of leslie's 3 page essay in just 1/10 of a minute, this means that she made 3 pages in (1/10 * 60)secs i.e 6secs
To get the speed, we need to calculate the amount of page of essay that are produced in a minute (60secs).
If 3 page essay = 6secs
x page essay = 60 secs
cross multiply
3*60 = 6x
180 = 6x
x = 180/6
x = 30
This shows that 30 page essays are produced in just a minute. Hence the speed of the copy machine is 30page essay/min.
Answer:
30
Step-by-step explanation:
Plane A was flying at an altitude of 8 km and Plane B was flying at an altitude of 700 dam. Which plane was flying at a greater altitude?
Answers
Answer:
Step-by-step explanation:
1 km= 1000 m
1 dam= 10 m
8 km= 8000m
700 dam = 7000m
so Plane A
plane A is higher by 700m!
hope it helped!
Plane A flying with greater altitude
What is Unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Given:
plane A= 8 km
plane B= 700 dam
Now,
1 km= 1000 m
1 dam= 10 m
So,
8 km= 8000m
700 dam = 7000m
Hence, Plane A is flying higher.
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The following graph shows Barry's monthly phone bill and the number of minutes used. About how many minutes did Barry consume if he pays $55?
Answers
Answer:
About 27.5 minutes
Step-by-step explanation:
When looking at the graph, you can see that the red line intersects about 27.5 minutes with $55.
Barry consumed almost 27.28 minutes.
What is the general equation of a Straight line?The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}
(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}
x/a + y/b = 1 {intercept form}
x cos(β) + y sin(β) = L {Normal form}
We have a graph shows Barry's monthly phone bill and the number of minutes used.
The points that lie on the graph are -
(0, 25) and (60, 90)
Slope of the line will be -
m = (90 - 25)/(60 - 0)
m = 65/60 = 1.1
[c] = 25
The equation of the line would be -
y = 1.1x + 25
For y = 55, we get -
55 = 1.1x + 25
1.1x = 30
x = 30/1.1
x = 27.28
Therefore, Barry consumed almost 27.28 minutes.
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Solve equation. Show steps
Answers
Answer:
60
Step-by-step explanation:
From the question:
2 Cos x = 1
x =?
Thus, we can obtain the value of x as follow:
2 Cos x = 1
Divide both side by 2
Cos x = 1/2
Cos x = 0.5
Take the inverse of Cos.
x = Cos¯¹ (0.5)
x = 60
Therefore, the value of x is 60
**** Check ****
2 Cos x = 1
x = 60
2 Cos 60 = 1
2 × 0.5 = 1
1 = 1
Can the sine rule relationship in trigonometry be used with non right angled triangle
Answers
Answer:
Below
Step-by-step explanation:
You can use it if you added a hight.
When you a hight you are creating a right triangle. If not you cannot use directly
Answer:
Yes
Step-by-step explanation:
If you mean just sine in general, then yes, it can be used with other triangles.
If you mean [tex]sin=\frac{opposite}{hypotenuse}[/tex] , then there has to be a right triangle. But in other cases, sine is used to find missing sides as well as angles in triangles that are not right-angled.
Help me pleseeeeeee asappppp
Answers
Answer:
(-2.5, -10)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Step 1: Plug in
x = (-2 + -3)/2
y = (-8 + -12)/2
Step 2: Evaluate
x = -5/2
y = -20/2 = -10
Step 3: Format into coordinates
(-5/2, -10)
Step 4: Convert to decimal
(-2.5, -10)
Find the mean of the data in the dot plot below.
Answers
Explanation:
(20 + 23 + 25 + 28)/4
= 96/4
= 24
Therefore the mean is 24 students in the class.
Answer:
24
Step-by-step explanation:
20+23+25+28=96
96/4
=24
I did it on Khan too! :)
A package of decorations holds 20 glow sticks for every 28 stickers. The ratio of
glow sticks to stickers is 20:28. Use division to find an equivalent ratio for 20:28, and
express it using words, using a colon, and as a fraction. Explain how you found the
equivalent ratio.
Answers
Answer: 5:7 and 10:14 are equivalents to 20:28
Step-by-step explanation:
We have the ration 20:28, and we want to find equivalent ratios to this:
One way to do this is by dividing both numbers by the same number.
For example, both 20 and 28 are even numbers, then we can divide them by 2.
20/2 = 10
28/2 = 14.
Then we have that 10:14 is equivalent to 20:28.
And we can do it again, this time only with words:
10:14 means that for each 10 glow sticks, we have 14 stickers.
The taking half of each, we have that for each 10 = 5 + 5 glow sticks, we have 14 = 7 + 7 stickers.
Then the ratio 5:7 is also equivalent to 10:14 and to 20:28
Which of the following expressions has a value of 4? A. (16 – 12)2 B. – | – 4 | C. (96 ÷ 8) – 23 D. 24 – 42
Answers
Answer:B
Step-by-step explanation:
None of the others work
Given:
[tex]\bold{A. \ (16 - 12)2} \\\\\bold{B.\ - | -4 |} \\\\\bold{C. \ (96 \div 8) - 23} \\\\\bold{D.\ 24 - 42}[/tex]
Find:
Which expressions have a value of 4
Solving the given expression:
A)
[tex]\bold{\to (16 - 12)2 = (4)2=4\times 2=8} \\\\[/tex]
B)
[tex]\bold{\to - | -4 |} \\\\\bold{\therefore} \\\\ \to\bold{|4|=4 \ \ and \ \ |-4|=4}\\\\\bold{\because}\\\\\bold{\to - | -4 |=-(4)=-4} \\\\[/tex]
C)
[tex]\bold{\to (96 \div 8) - 23=( \frac{96}{8})-23= 12-23=-11}[/tex]
D)
[tex]\bold{\to 24 - 42=-18}[/tex]
That's why all the choices were wrong.Learn more:
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