The equation y = |x - 5| + |x + 5| can be rewritten as:
y = { -2x - 10, for x < -5,
{ 10, for -5 ≤ x ≤ 5,
{ 2x + 10, for x > 5.
When -5 < x < 5, both |x - 5| and |x + 5| are non-negative. So we can rewrite y = |x - 5| + |x + 5| as follows:
If x < -5, then x - 5 < -5 and x + 5 < 0, so we have:
y = -(x - 5) - (x + 5) = -2x - 10
If -5 ≤ x ≤ 5, then x - 5 < 0 and x + 5 ≥ 0, so we have:
y = -(x - 5) + (x + 5) = 10
If x > 5, then x - 5 ≥ 0 and x + 5 > 5, so we have:
y = (x - 5) + (x + 5) = 2x + 10
Therefore, the equation y = |x - 5| + |x + 5| can be rewritten as:
y = { -2x - 10, for x < -5,
{ 10, for -5 ≤ x ≤ 5,
{ 2x + 10, for x > 5.
Learn more about equations here
https://brainly.com/question/27171470
#SPJ4
Given question is incomplete, the complete question is below
Rewrite each equation without absolute value for the given conditions. y = |x-5| + |x+5| if -5 < x < 5
Craig has 72 feet of material to build a fence around a rectangular flower bed on his property. if the width of the fence must be 3 feet, what is the length of the fence in yards if he uses all 72 feet of material? 11 yards 33 yards 66 yards 22 yards
The length of the fence in feet if he uses all 72 feet of material is 33 feet.
Perimeter of a rectangleWidth of the fence = 3 feetPerimeter = 72 feetLength = xPerimeter = 2(length + width)
72 = 2(x + 3)
72 = 2x + 6
72 - 6 = 2x
68 = 2x
x = 68/2
x = 33 feet
Therefore, the length of the fence in feet if he uses all 72 feet of material is 33 feet.
Learn more about perimeter of rectangle:
https://brainly.com/question/17297081
#SPJ4
What is the range in the following data? 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4 Your Answer:
The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.
To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]
To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.
From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.
So, Minimum Value = 1.0
Maximum Value = 11.2
Range = Maximum Value - Minimum Value
= 11.2 - 1.0
= 10.2
Therefore, the range of the given data is 10.2.
Learn more about Range:
brainly.com/question/30339388
#SPJ11
the point estimate of the difference between the means is 4, the standard error is 5, and the degrees of freedom are 20. what is the 95% confidence interval for the difference between the two population means?
The 95% confidence interval for the difference between the two population means is (-1,9).
The 95% confidence interval is a range of values that you can be 95% certain contains the true mean of the population. As the sample size increases, the range of interval values will narrow, meaning that you know that mean with much more accuracy compared with a smaller sample.
We have given that,
the point estimate of the difference between the means = 4,
the standard error = 5
and we need to find 95% confidence level for the difference between the two population means.
We know the formula of confidence interval, that is
CI = difference in mean ± error
⇒ CI = 4 ± 5
CI = 4 + 5 = 9
CI = 4 - 5 = -1
Therefore confidence interval for the difference between the two population means is (-1 , 9).
To know more about confidence interval here
https://brainly.com/question/4249560
#SPJ4
An average American consumes 75 liters of icecream in a year how many millimeters will 50 Americans consume in one week
I think I might have an answer to your question!
To convert liters to millimeters, we need to know the density of ice cream. The density of ice cream can vary depending on the type and composition of the ice cream.
According to a source, the density of ice cream is around 0.6 g/mL on average. Therefore, 1 liter of ice cream would weigh around 600 grams or 600,000 milligrams.
With this information, we can calculate the total amount of ice cream consumed by 50 Americans in one week as follows:First, we need to convert the annual consumption from liters to milliliters:
75 liters/year * 1000 milliliters/liter = 75,000 milliliters/year
Next, we need to calculate the amount consumed in one week by one American:
75,000 milliliters/year / 52 weeks/year / 1 American = 1,442 milliliters/week/American
Finally, we can calculate the amount consumed by 50 Americans in one week:
1,442 milliliters/week/American * 50 Americans = 72,100 milliliters/weekTherefore, 50 Americans will consume 72,100 milliliters of ice cream in one week.
100 Points
what percentage of 205 is 54? can you also show your work
Answer:
the exact percentage is 26.34146. but i'd write it down as 26.34 or just 26
Step-by-step explanation:
we convert 54/205 into a percentage
Answer:
x = 26.34%
Step-by-step explanation:
Let the percentage be x:
205 * x% = 54
x% = 54 ÷ 205
x% = \(\frac{54}{205}\)
\(\frac{x}{100}\) = \(\frac{54}{205}\)
x = \(\frac{54*100}{205}\)
x = \(\frac{5400}{205}\)
x = 26.34146341%
x = 26.34%
Write a slope-intercept form equation for a line that passes through (0, 4) and (2, -2).
Answer:
y=-3x+4
Step-by-step explanation:
....
Find the length of the third side. If necessary, write in simplest radical form.
6
5
Answer:
Submit Answer
Answer:
\( \sqrt{11} \)
Step-by-step explanation:
c2=a2+b2
that's how
POSSIBLE POINTS 37 5
Ayden makes $15 per hour at his job and is going to receive a 20% raise. His manager, Uma, makes $20 per hour and is going to receive a 5% raise After
both Ayden and Uma have received their raises, how much more money, per hour, does Uma make than Ayden?
MULTIVARIATE STATISTICS
(a) What are the two ways in which the exploratory factor
analysis (EFA) can be useful?
(b) Differentiate between principal component method
and factor analysis
(a) The exploratory factor analysis (EFA) can be useful in two ways: Dimensional Reduction: The dimensionality of a set of data can be reduced by exploratory factor analysis. Rather than dealing with several variables, it identifies the basic factors that describe the data set. This can be achieved by extracting factor information that shows the covariance structure of the variables that underlie the observations. Investigation of latent variables: Exploratory factor analysis can be used to determine whether an underlying dimension, such as depression or anxiety, underlies a collection of observable variables, such as feelings of depression, nervousness, or irritability. Latent variables are those that cannot be observed directly. (b) Factor analysis and principal component analysis are two techniques for data reduction that are frequently confused. The principal component analysis, on the other hand, is a technique that creates uncorrelated variables to replace the original variables. It can be viewed as a special case of factor analysis in which all of the extracted factors are used. It includes the raw data's total variance, which is defined by a few components. Principal component analysis is a method of data reduction that extracts uncorrelated factors from the original variables. The correlation structure of the original variables is utilized in factor analysis to define the underlying factors.
Learn more about exploratory factor analysis (EFA)
brainly.com/question/30974361
#SPJ4
An airplane flies 1250 km in 1 hour 20 minutes. What is its average speed in kilometers per hour?
Answer:
tiiiuhhhghhjpjjhhjhgghhuuhh
Is 0.616161 irrational or rational
Answer:
yes. because it can still be put into a fraction or a percentage
At a large company retreat, management orders subs for lunch. They hypothesize that 50% of the attendees will choose a turkey sub, 40% will choose a ham sub, and 10% will choose a vegetarian sub. Before placing the order, they select a random sample of 50 attendees and determine the type of sub they prefer. The management would like to know if there is convincing evidence that the distribution of sub preference differs from 50% turkey, 40% ham, and 10% vegetarian. Are the conditions for inference met?
No, the random condition is not met. No, the 10% condition is not met. No, the Large Counts condition is not met. Yes, all of the conditions for inference are met
Since random condition, 10% condition and Large counts condition are met, all of the conditions for inference are met.
Given that,
At a large company retreat, management orders subs for lunch.
They hypothesize that 50% of the attendees will choose a turkey sub, 40% will choose a ham sub, and 10% will choose a vegetarian sub.
Before placing the order, they select a random sample of 50 attendees and determine the type of sub they prefer.
The management would like to know if there is convincing evidence that the distribution of sub preference differs from 50% turkey, 40% ham, and 10% vegetarian.
Conditions for inference are met if three conditions are met.
They are randomness, normal and independence.
Since the sample is random, random condition is met.
Normal condition is met if the sample size is reasonably large which is the Large Counts Condition.
Here sample size is >30. So it is also met.
For the condition of independence, 10% condition has to be met, which is the condition that sample size should not exceed 10% of the total population.
Here population size is not given.
Since it is a large company, we assume that the population is large enough that 10% condition is also met.
Hence all conditions are met.
Learn more about Conditions for inference here :
https://brainly.com/question/30267509
#SPJ1
The diagram shows 6 small squares made with matchsticks.
How many matchsticks must be removed to leave precisely 3 small squares which touch only at corners?
Answer:
Can you please upload the diagram?
A carpenter has a board that is 2/3 yard wide. He cuts the board into 5 pieces. If all the pieces are the same width, how wide is each piece?
Answer:
\(\huge\boxed{\frac{2}{15} \text{ yards}}\)
Step-by-step explanation:
We have a board that is \(\frac{2}{3}\) yards long. If we want to cut the board into 5 equal pieces, we must divide \(\frac{2}{3}\) by 5.
\(\frac{2}{3} \div 5\)
5 is the same thing as \(\frac{5}{1}\), so:
\(\frac{2}{3} \div \frac{5}{1}\)
To divide a fraction by a fraction, we multiply by the reciprocal. This means we take the reciprocal of \(\frac{5}{1}\) and multiply the two fractions.
The reciprocal of \(\frac{5}{1}\) is \(\frac{1}{5}\) - we swap the numerator and denominator.
\(\frac{2}{3} \cdot \frac{1}{5}\)
Multiply the numerator and denominators to get our final fraction:
\(2\cdot 1 = 2\\3 \cdot 5 = 15\\\\\frac{2}{15}\)
Hope this helped!
The mean SAT score in mathematics is 554. The standard deviation of these scores is 39. A special preparation course claims that the mean SAT score, HI, of its graduates is greater than 554. An independent researcher tests this by taking a random sample of 60 students who completed the course; the mean SAT score in mathematics for the sample was 567. At the 0.01 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 5542 Assume that the population standard deviation of the scores of course graduates is also 39. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. μ a р H.: 0 H: 0 х S ê 0. DO (b) Determine the type of test statistic to use. (Choose one) ロ=口 OSO 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) O . $ ?
(d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we support the preparation course's claim that the population mean SAT score of its graduates is greater than 554? Yes No
We have the following details
mean = 554
n = 60
bar x = 567
alpha = 0.01
How to solve for the hypothesisA. h0. u = 554
H1. u > 554
B. Given that the standard deviation is known what we have to make use of is the independent z test
test statistics calculation
567-554/(39/√60)
= 2.582
d. at alpha = 0.01 and test statistics = 2.582, the value of the p value = 0.0049
0.0049 < 0.01. So we have to reject the null hypothesis.
e. Yes We have to accept that we support the preparation course's claim that the population mean SAT score of its graduates is greater than 554
Read more on statistics here:
https://brainly.com/question/19243813
#SPJ1
You can solve the equation 12 times 34 in at least 4 different ways .
We have the following equation
\(12\times34=408\)We can see that the factors of 12 and 34 are, respectively,
\(\begin{gathered} \text{factors of 12: 1,2,3,4,6,12} \\ \text{factors of 34:1,2,17,34} \end{gathered}\)Then, the answer is:
I can solve the equation 12 times 34 using
\(\begin{gathered} 12\times2\times17 \\ 2\times6\times34 \\ 2\times6\times2\times17 \\ \text{and} \\ 3\times4\times34 \end{gathered}\)The product is 408
3.13 what substitution system results when we use a 1 * 25 playfair matrix?
A 1x25 Playfair matrix results in a substitution system called the "Playfair Cipher."
This cipher is a digraph substitution cipher, where pairs of letters are encrypted using a 5x5 matrix created from a keyword. The matrix is filled with unique letters of the alphabet, and "I" and "J" are typically combined into one slot. The Playfair Cipher encrypts pairs of letters by following specific rules: if the letters are in the same row or column, they're replaced by the letters to their immediate right or below, and if they form a rectangle, they're replaced by the letters on the same row but in the opposite corners. This cipher provides a more secure encryption compared to simple substitution ciphers, as it encrypts pairs of letters instead of single characters.
To know more about matrix visit:
https://brainly.com/question/29132693
#SPJ11
Find N such that x+N=5.4 and x/n=5.4 are equivalent equations
Answer: 0.84375
Step-by-step explanation:
1. x = 5.4n
2. 5.4n + n = 5.4
3. n(6.4) = 5.4
4. n = 0.84375
DOUBLE CHECK
x = 5.4(0.84375)
x = 4.55625
4.55625 + 0.84375 = 5.4
0.84375 = 5.4 - 4.55625
0.84375 = 0.84375
The solution is, : for 0.84375 = N such that x+N=5.4 and x/n=5.4 are equivalent equations.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here, we have,
the given equations are:
1. x = 5.4n
2. 5.4n + n = 5.4
3. n(6.4) = 5.4
4. n = 0.84375
DOUBLE CHECK
x = 5.4(0.84375)
x = 4.55625
4.55625 + 0.84375 = 5.4
0.84375 = 5.4 - 4.55625
0.84375 = 0.84375
Hence, The solution is, : for 0.84375 = N such that x+N=5.4 and x/n=5.4 are equivalent equations.
To learn more on equation click:
brainly.com/question/24169758
#SPJ2
Joy recently hired a roofer to do some necessary work. On the final bill, Joy was charged a total of $1487.
$365 was listed for parts and the rest for labor. If the hourly rate for labor was $66, how many hours of labor
was needed to complete the job?
(A) First write an equation you can use to answer this question. Use as your variable.
The equation is
(B) Solve your equation in part (A) to find the number of labor hours needed to do the job.
Answer: The number of labor hours was
The equation is 365 + 66x = 1487 and the number of labor hours was 17
Write an equation you can use to answer this question.The given parameters are:
Total charges = 1487
Parts = 365
Hourly rate = 66
Let the number of hours be x.
So, we have the following equation
Parts + Hourly rate * x = Total charges
Substitute the known values in the above equation
365 + 66x = 1487
Hence, the equation is 365 + 66x = 1487
Solve your equation in part (A) to find the number of labor hours needed to do the job.In (a), we have:
365 + 66x = 1487
Subtract 365 from both sides
66x = 1122
Divide both sides by 66
x = 17
Hence, the number of labor hours was 17
Read more about linear equations at:
https://brainly.com/question/14323743
#SPJ1
Use the pigeonhole principle to prove each of the following statements about numbers: (a) Given any seven integers, there will be two that have a difference divisible by 6. (b) Given any five integers, there will be two that have a sum or difference divisible by 7.
The pigeonhole principle states that if there are more pigeons than pigeonholes, then at least one pigeonhole must contain more than one pigeon. We can apply this principle to prove the following statements:
(a) Given any seven integers, there will be two that have a difference divisible by 6.
We can divide the integers into six pigeonholes based on their remainders when divided by 6: {0}, {1}, {2}, {3}, {4}, and {5}. Since there are seven integers, by the pigeonhole principle, at least two integers must belong to the same pigeonhole. If two integers belong to the same pigeonhole, then their difference will be divisible by 6.
(b) Given any five integers, there will be two that have a sum or difference divisible by 7.
We can divide the integers into six pigeonholes based on their remainders when divided by 7: {0}, {1}, {2}, {3}, {4}, {5}, and {6}. Since there are five integers, by the pigeonhole principle, at least two integers must belong to the same pigeonhole. If two integers belong to the same pigeonhole, then their sum or difference will be divisible by 7.
Note that if the two integers have the same remainder when divided by 7, then their difference will be divisible by 7. If they have different remainders, then their sum will be divisible by 7.
Visit here to learn more about pigeonhole principle brainly.com/question/31687163
#SPJ11
janet can make 4/5 of a necklace in 20 minutes. at this rate, how many necklaces, to the nearest tenth of a necklace, Can Janet make in 1 hour ?
Answer:
Step-by-step explanation:
Janet can make:
4/5 of a necklace in 20min
2(4/5)=8/5 ............in 40 min
3(4/5)=12/5 ............in 60 min( one hour)
12/5=2 2/5 necklaces in one hour
or 2.4n in one hour
What is the correct expression of 10
Answer:
What are you asking for?
Step-by-step explanation:
If you have a picture or link then its not attached
ill put answer in comments if you make what you want clearer
pls help with math questions needed for class
Answer:
Exponential decay
Step-by-step explanation:
The general form of an exponential function is
\(P=P_{0}a^t\), where P0 is the initial value, a is the base, and t is the exponent.
In your example, P0 is 1 and a is 4/5.
A function is experiencing exponential growth when a > 1.
A function is experiencing exponential decay when 0 < a < 1.
4/5 lies between 0 and 1, so the function is experiencing exponential decay.
Suppose the critical region for a certain test of the null hypothesis is of the form f > 9.487 and the computed value of f from the data is 1.86. then?
Since the computed value of f from the data (1.86) is not greater than the critical value of 9.487, we fail to reject the null hypothesis. There is not enough evidence to support the alternative hypothesis.
In hypothesis testing, the critical region represents the range of values that would lead to the rejection of the null hypothesis. In this case, the critical region is defined as f > 9.487.
To perform the test, we compare the computed value of f from the data (1.86) with the critical value. Since 1.86 is not greater than 9.487, it falls outside the critical region.
When the computed value of the test statistic falls outside the critical region, we fail to reject the null hypothesis. This means that the data does not provide enough evidence to support the alternative hypothesis. In other words, there is not sufficient evidence to conclude that the observed effect is statistically significant.
To know more about Hypothesis visit-
brainly.com/question/26059770
#SPJ11
Find the derivative.
y = x sinhâ¹(x/7) â â(49 + x²)
The derivative of the given function is x/(7√(x²+49)) -x²/(49(x²+49)√(x²/49+1)) + 2x.
To find the derivative of the given function, we can use the chain rule and the power rule of differentiation. Let's first find the derivative of the inside function, sinh⁻¹(x/7), which is (1/√(1+(x/7)²)) * (1/7). Using the chain rule, we have:
dy/dx = [1/√(1+(x/7)²)] * (1/7) * (1) + (x/7) * [1/√(1+(x/7)²)] * (-1/(7²)) + 2x
Simplifying this expression, we get:
dy/dx = (1/7√(1+(x/7)²)) - (x/(49√(1+(x/7)²))) + 2x
Now we can substitute the given values of y and simplify the expression further. Thus, the derivative of y is:
dy/dx = x/(7√(x²+49)) - x²/(49(x²+49)√(x²/49+1)) + 2x
To learn more about derivative click on,
https://brainly.com/question/29020856
#SPJ4
The equation of a line perpendicular to y = 3 and passes through the point (24, -56).
Answer:
x = 24
Step-by-step explanation:
The given line y = 3 is a horizontal line with slope zero (0).
We wish to find the equation of a line that is perpendicular to y = 3. Such a line would be a vertical one. Vertical lines do not have slopes defined (due to division by zero).
Thus the general form of the equation of this new line is x = c.
This new line passes through (24, -56). Thus, x must be 24: x = 24
sin 60° cos 60 °+ x tan 45 ° tan 30° = tan60° sin 30.Please help me to calculate the value of x.
Answer:
3/4
Step-.by-step explanation:
sin 60° cos 60 °+ x tan 45 ° tan 30° = tan60° sin 30
x tan 45 * tan 30 = tan 60 * sin 30- sin 60 cos 60
x = (tan 60 * sin 30- sin 60 cos 60 ) / ( tan 45 * tan 30)
Substituting the values
x = (√3 * 1/2)- (√3/2 * 1/2) / (1 * √3/3)
= √3/2 - √3/4 / √3/3
= √3/4 / √3/3
= √3/4 * 3/√3
= 3/4.
33. Let M2x2 be the vector space of all 2x 2 matrices, and define T : M2x2 → Mo by T(A) A + AT, where a. Show that T is a linear transformation. b. Let B be any element of M2 c. Show that the range of T is the set of B in M2x2 with the d. Describe the kemel of T such that BT B. Find an A in M2xz such that T(A) B property that B B
a) T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂). So, T is a linear transformation.
b) T(A)=B, if B be any element of M₂
c) Range of T=={A∈ \(M_{ 2*2}\)/\(A^{T}\)=-A}
What is meant by matrix?A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns that is used to represent a mathematical object or an attribute of such an item.
A square matrix's determinant is a number connected with the matrix that is crucial for studying a square matrix; for example, a square matrix is invertible if and only if it has a nonzero determinant, and a square matrix's eigenvalues are the roots of a polynomial determinant.
Define T: \(M_{ 2*2}\) ⇒ \(M_{ 2*2}\) by T(A)=A+\(A^{T}\)
a) Let T is a linear transformation
Consider K₁A₁+K₂A₂ ∈ \(M_{ 2*2}\)
T( K₁A₁+K₂A₂)= K₁A₁+K₂A₂+( K₁A₁+K₂A₂)\(( K₁A₁+K₂A₂)^{T}\)
= K₁T(A₁)+K₂T(A₂)
T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂)
Therefore, T is a linear transformation.
b) Let B∈ \(M_{ 2*2}\) such that \(B^{T}\)=B
Therefore, B is a symmetric matrix.
Let A=(1/2)B∈ \(M_{ 2*2}\)
T(A)=A+\(A^{T}\)
=(1/2)B+\((1/2B)^{T}\)
T(A)=B
A=(1/2)B such that T(A)=B
c) Range of T is the set of B in \(M_{ 2*2}\), \(B^{T}\)=B
T( \(M_{ 2*2}\))={B∈ \(M_{ 2*2}\)/ \(B^{T}\)=B}
d) Kernel of T={A∈ \(M_{ 2*2}\)/T(A)=0)
={A∈ \(M_{ 2*2}\)/A+\(A^{T}\)=0}
={A∈ \(M_{ 2*2}\)/\(A^{T}\)=-A}
To know more about matrix, visit:
https://brainly.com/question/28180105
#SPJ1
Three points Assuming M22 is the vector space containing all 22 matrices, T: M22 M22 is defined as T(A) = A + AT.
T is a linear transformation, therefore demonstrate it.
b) Assume that B is any element from M22 where BT = B. In M22, look for an A such that T(A) = B.
c) Explain the T kernel.
a) Verifying that T preserves sums and multiplication by scalars—which implies that T(0) = 0 in particular—is sufficient to determine if T is linear.
Additions: T(A+B) = A+B+A+B T = A+B+A T +B
T = (A + A T ) + (B + B T ) = T(A) + T (B).
Scalar multiplication
T(c · A) = (c · A)
T = c · A
T = c · T(A) (A).
b) Calculate A = 1 2B. Since AT = 1 2BT = 1 2B, T(A) = A + A.
T = \s1 \s2 \sB + \s1 \s2 \sB = B.
c) If 0 0 0 0 = A + A, then and only if A = a b c d, A is in the kernel of T.
If and only if 2a = b + c = 2d = 0, i.e., a = d = 0 and c = b, then T = a b c d + a c b d = 2a b + c b + c 2d. Therefore, the set ker(T) = 0 b b 0 : b R is the kernel of T.
To know more about vector space visit:
https://brainly.com/question/13058822
#SPJ1
the scores on a standardized test are normally distributed with a mean of 90 and standard deviation of 15. what test score is 0.1 standard deviations above the mean?
The test score is 91.5.
z-score:
A z-score is the number of standard deviations from the mean value of the reference population.
Here we have to find the test score.
Mean(μ) = 90
Standard deviation(б) = 15
z-score = 0.1
Formula for z-score:
z = X - μ / б
Now putting the values in the equation:
0.1 = X - 90 / 15
1.5 = X - 90
X = 91.5
Therefore the test score is 91.5.
To know more about the z-score refer to the link given below:
https://brainly.com/question/25638875
#SPJ4
13. If B is the midpoint of AC, and AC = 8x - 20,
find BC.
3x – 1
А A
B
C