Please answer this correctly

Let's solve the first equation and see if both -6−6minus, 6 and 666 are possible values of ccc.

Hint #22 / 4

\begin{aligned} c^2&=36\\\\ \sqrt{c^2}&=\sqrt{36}&\\\\ c &=\pm 6 \end{aligned}

c

2

c

2

​

c

​

=36

=

36

​

=±6

​

​

Yes, both -6−6minus, 6 and 666 are possible values of ccc for the first equation!

Hint #33 / 4

Let's do the same for the second equation.

\begin{aligned} c^3&=216\\\\ \sqrt[\scriptstyle 3]{c^3}&=\sqrt[\scriptstyle 3]{216}&\\\\ c &=6 \end{aligned}

c

3

3

c

3

​

c

​

=216

=

3

216

​

=6

​

​

No, both -6−6minus, 6 and 666 are not possible values of ccc for the second equation.

Hint #44 / 4

The following equation has both -6−6minus, 6 and 666 as possible values of ccc:

c^2 = 36c

2

=36

The equation that has both -6 and 6 as possible values is c² = 36.

Option A is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

If c is a possible value of 6, then c - 6 = 0.

Similarly, if c is a possible value of -6, then c + 6 = 0.

A)

c² = 36

We can factor this equation as c² - 36 = 0, which gives us (c - 6) (c + 6) = 0. Therefore, both c = 6 and c = -6 are solutions to this equation.

B)

c³ = 216

We can factor 216 as 6³, so c³ - 6³ = (c - 6) (c² + 6c + 36) = 0.

The quadratic factor c² + 6c + 36 does not have any real roots, so the only solution to this equation is c = 6.

Therefore, -6 is not a possible solution to this equation.

Thus,

The equation that has both -6 and 6 as possible values is c² = 36.

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Answer:

by using distance formula

d=[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

by putting the values of coordinates

[tex]d=\sqrt{(2-(-0.5))^2+(5-(-5))^2}[/tex]

[tex]d=\sqrt{(2+0.5)^2+(5+5)^2}[/tex]

[tex]d=\sqrt{(2.5)^2+(10)^2}[/tex]

[tex]d=\sqrt{6.25+100}[/tex]

[tex]d=\sqrt{106.25}[/tex]

[tex]d=10.3[/tex]

Step-by-step explanation:

i hope this will help you :)

Answer:

x < 5 or x > 1

Step-by-step explanation:

2x - 6 < 4

2x < 4 + 6

2x < 10

x < 10/2

x < 5

2x - 6 > - 4

2x > - 4 + 6

2x > 2

x > 2/2

x > 1

Answer:

36°

Step-by-step explanation:

[tex]size \: of \: one \: exterior \: angle \\ \\ = \frac{360 \degree}{no \: of \: sides} \\ \\ = \frac{360 \degree}{10} \\ \\ = 36 \degree[/tex]

Answer:

Exterior Angle = 36 degrees

Step-by-step explanation:

The measure of each interior angle of the decagon is 144

So,

Exterior Angle = 180 - 144    (Interior and Exterior angles are angles on a straight line hence adding up to 180 degrees)

Exterior Angle = 36 degrees

Answer:

The standard error for the difference in proportions of males and females who use public transportation every working day is 0.015.

The conditions are met.

Step-by-step explanation:

The sample 1 (males), of size n1=2570 has a proportion of p1=0.389.

[tex]p_1=X_1/n_1=1000/2570=0.389[/tex]

The sample 2 (females), of size n2=2055 has a proportion of p2=0.745.

[tex]p_2=X_2/n_2=1532/2055=0.745[/tex]

The difference between proportions is (p1-p2)=-0.356.

[tex]p_d=p_1-p_2=0.389-0.745=-0.356[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{1000+1532}{2570+2055}=\dfrac{2532}{4625}=0.547[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.547*0.453}{2570}+\dfrac{0.547*0.453}{2055}}\\\\\\s_{p1-p2}=\sqrt{0.000096+0.000121}=\sqrt{0.000217}=0.015[/tex]

Conditions for a normal distribution approximation:

The expected number of "failures" or "successes", whichever is smaller, has to be larger than 10.

For the males sample, we have p=0.389 and (1-p)=0.611. The sample size is n=2570, so we take the smallest proportion and chek the condition:

[tex]n\cdot p=2570\cdot 0.389=999>10[/tex]

For the females sample, we have p=0.745 and (1-p)=0.255. The sample size is n=2055, so we take the smallest proportion and chek the condition:

[tex]n\cdot (1-p)=2055\cdot 0.255=524>10[/tex]

The conditions are met.

This question was not properly written, hence it is incomplete. The complete question is written below:

Complete Question:

Abigail and Liza work as carpenters for different companies. Abigail earns $20 per hour at her company and Liza earns $25 per hour at her company. Last week, Abigail and Liza worked for a total of 30 hours and together earned a total of $690. How many hours did Liza work last week?

Answer:

Lisa worked for 18 hours last week

Step-by-step explanation:

Let the number of hours Abigail worked last week = A

Let the number of hours Liza worked last week = B

Abigail earns = $20 per hour at her company

Liza earns = $25 per hour at her company

A + B = 30 ........... Equation 1

B = 30 - A

20 × A + 25 × B = 690

20A + 25B = 690 ............... Equation 2

Substitute 30 - A for B in Equation 2

Hence, we have:

20A + 25(30 - A) = 690

20A + 750 - 25A = 690

Collect like terms

20A - 25A = 690 - 750

-5A = -60

A = -60/-5

A = 12

Since A represents the number of hours Abigail worked, Abigail worked for 12 hours last week.

Substitute 12 for A in Equation 1

A + B = 30

12 + B = 30

B = 30 - 12

B = 18

Since B represents the number of hours Liza worked, therefore, Liza worked for 18 hours last week.

Answer:

The probability of the plants being tall is equal to P(TT) + P(Tt)= 1/4+1/2=3/4

Step-by-step explanation:

Hello!

The characteristic "height" of a plant is determined by the alleles "tall" T (dominant) and "short" a (recessive). If both parents are Tt, you have to calculate the probability of the offspring being tall (TT or Tt)

To construct the Punnet square you have to make a table, where the parental alleles will be in the margins, for example: the father's alleles in the columns and the mother's alleles in the rows.

Each parent will produce a haploid gamete that will carry one of the alleles, so the probability for the offspring receiving one of the alleles is 1/2

Father (Tt): gametes will carry either the dominant allele T or the recessive allele t with equal probability 1/2

Mother (Tt): gametes will also carry either the dominant allele T or the recessive allele t with equal probability 1/2

Then you have to cross each allele to determine all possible outcomes for the offsprings. For each cell, the probability of obtaining both alleles will be the product of the probability of each allele (See attachment)

First combination, the offspring will receive one dominant allele from his father and one dominant allele from his mother: TT, the probability of obtaining an offspring with this genotype will be P(T) * P(T) = 1/2*1/2=1/4

Second combination, the offspring will receive the recessive allele from the father and the dominant allele from the mother, then its genotype till be tT with probability: P(t)*P(T)= 1/2*1/2=1/4

Third combination, the offspring will receive one dominant allele from his father and one recessive allele from his mother, the resulting genotype will be Tt with probability: P(T)*P(t)= 1/2*1/2=1/4

Combination, the offspring will receive both recessive alleles from his parents, the resulting genotype will be tt with probability: P(t)*P(t)= 1/2*1/2=1/4

So there are three possible genotypes for the next generation:

TT with probability P(TT)= 1/4

Tt with probability: P(Tt)+P(tT)=1/4+1/4=1/2⇒ This genotype is observed twice so you have to add them.

tt with probability P(tt)= 1/4

Assuming this genotype shows complete dominance, you'll observe the characteristic "Tall" in individuals that carry the dominant allele "T", i.e. individuals with genotype "TT" and "Tt"

So the probability of the plants being tall is equal to P(TT) + P(Tt)= 1/4+1/2=3/4

I hope this helps!

Answer:

95.44% probability that the sample proportion will differ from the population proportion by less than 0.03.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

[tex]p = 0.05, n = 212, \mu = 0.05, s = \sqrt{\frac{0.05*0.95}{212}} = 0.015[/tex]

What is the probability that the sample proportion will differ from the population proportion by less than 0.03?

This is the pvalue of Z when X = 0.03 + 0.05 = 0.08 subtracted by the pvalue of Z when X = 0.05 - 0.03 = 0.02. So

X = 0.08

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.08 - 0.05}{0.015}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 0.02

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.02 - 0.05}{0.015}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

95.44% probability that the sample proportion will differ from the population proportion by less than 0.03.

Answer:

x=5  x=-3

Step-by-step explanation:

x^2 − 2x − 15 =0

Factor

What two numbers multiply to -15 and add to -2

-5*3 = -15

-5+3 =-2

(x-5) (x+3)=0

Using the zero product property

x-5 =0   x+3 =0

x=5  x=-3

Answer:

x^2 - 2x - 15 = 0

(x - 5) (x + 3) = 0

x - 5 = 0

x = 5

x + 3 = 0

x = -3

Answer:

-2x + y = -1.

Step-by-step explanation:

The slope of the line = rise / run

= (11-9) / (6-5) = 2.

The point-slope form of the line is

y - y1 = 2(x - x1) where (x1, y1) is a point on the line so we have:

y - 11 = 2(x - 6)     ( using the point  (6, 11)

y = 2x - 12 + 11

y = 2x - 1

Convert to standard form:

-2x + y = -1.

Split up the interval [0, 3] into 6 subintervals,

[0, 1/2], [1/2, 1], [1, 3/2], [3/2, 2], [2, 5/2], [5/2, 3]

The right endpoints are given by the arithmetic sequence,

[tex]r_i=0+\dfrac i2=\dfrac i2[/tex]

with [tex]1\le i\le6[/tex].

We approximate the integral of [tex]f(x)[/tex] on the interval [0, 3] by the Riemann sum,

[tex]\displaystyle\int_0^3f(x)\,\mathrm dx=\sum_{i=1}^6f(r_i)\Delta x_i[/tex]

[tex]\displaystyle=\frac{3-0}6\sum_{i=1}^6\left(3{r_i}^2-8r_i\right)[/tex]

[tex]\displaystyle=\frac12\sum_{i=1}^6\left(\frac{3i^2}4-4i\right)[/tex]

[tex]\displaystyle=\frac38\sum_{i=1}^6i^2-2\sum_{i=1}^6i[/tex]

Recall the formulas,

[tex]\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2[/tex]

[tex]\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6[/tex]

Then the value of the integral is approximately

[tex]\displaystyle=\frac38\cdot\frac{6\cdot7\cdot13}6-2\cdot\frac{6\cdot7}2=\boxed{-\frac{63}8}=-7.875[/tex]

Compare to the exact value of the integral, -9.

The Riemann sum of [tex]f(x) = 3\cdot x^{2}-8\cdot x[/tex] with [tex]n = 6[/tex] is [tex]-\frac{63}{8}[/tex].

The formula for the right Riemann sum is described below:

[tex]S = \frac{b-a}{n} \cdot \Sigma\limit_{i= 1}^{n} \,f(x+i\cdot \frac{b-a}{n} )[/tex] (1)

Where:

If we know that [tex]f(x) = 3\cdot x^{2}-8\cdot x[/tex], [tex]a = 0[/tex], [tex]b = 3[/tex] and [tex]n = 6[/tex], then the Riemann sum is:

[tex]S = \frac{3-0}{6}\cdot [f(0.5) + f(1) + f(1.5) + f(2) + f(2.5) +f(3)][/tex]

[tex]S = \frac{1}{2}\cdot \left(-\frac{13}{4}-5-\frac{21}{4}-4-\frac{5}{4}+3\right)[/tex]

[tex]S = -\frac{63}{8}[/tex]

The Riemann sum of [tex]f(x) = 3\cdot x^{2}-8\cdot x[/tex] with [tex]n = 6[/tex] is [tex]-\frac{63}{8}[/tex].

We kindly invite to check this question on Riemann sum: https://brainly.com/question/23960718

Answer: 111=11

Step-by-step explanation: PEMDAS

(55.5 times 2)=5+13-7

(111)=5+13-7

(111)=18-7

111=11

Answer:

The sampled populations have equal variances

Step-by-step explanation:

ANOVA which is fully known as Analysis of variances can be defined as the collection of statistical models as well as their associated estimation procedures which enables easily and effectively analyzis of the differences among various group means in a sample reason been that ANOVA is a total variance in which the observed variance in a specific variable is been separated into components which are attributable to various sources of variation which is why ANOVA help to provides a statistical test to check whether two or more population means are equal.

Therefore the required condition for using an ANOVA procedure on data from several populations for mean comparison is that THE SAMPLED POPULATION HAVE EQUAL VARIANCE.

Question Correction

One common system for computing a grade point average​ (GPA) assigns 4 points to an​ A, 3 points to a​ B, 2 points to a​ C, 1 point to a​ D, and 0 points to an F. What is the GPA of a student who gets an A in a 3​-credit ​course, a B in each of three 4​-credit ​courses, a C in a 2​-credit ​course, and a D in a 3​-credit ​course?

Answer:

2.75

Step-by-step explanation:

We present the information in the table below.

[tex]\left|\begin{array}{c|c|c|c}$Course Grade&$Grade Point(x)&$Course Credit(y)&$Product(xy)\\---&---&---&---\\A&4&3&12\\B&3&4&12\\B&3&4&12\\B&3&4&12\\C&2&2&4\\D&1&3&3\\---&---&---&---\\$Total&&20&55\end{array}\right|[/tex]

Therefore, the GPA of the student is:

[tex]GPA=\dfrac{55}{20}\\\\ =2.75[/tex]

Answer:

see below

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

4x - 3y = 12

Solve for y

Subtract 4x from each side

4x-4x - 3y =-4x+ 12

-3y = -4x+12

Divide by -3

-3y/-3 = -4x/-3 + 12/-3

y = 4/3x -4

The slope is 4/3 and the y intercept is -4

The slope is Positive

Answer:

The percentage of area is between Z =-2 and Z=2

P( -2 ≤Z ≤2) = 0.9544 or 95%

Step-by-step explanation:

Explanation:-

Given data Z = -2 and Z =2

The probability that

P( -2 ≤Z ≤2) = P( Z≤2) - P(Z≤-2)

                   = 0.5 + A(2) - ( 0.5 - A(-2))

                  = A (2) + A(-2)

                 = 2 × A(2)     (∵ A(-2) = A(2)

                = 2×0.4772

              = 0.9544

The percentage of area is between Z =-2 and Z=2

P( -2 ≤Z ≤2) = 0.9544 or 95%

Answer:

488p - 244

Step-by-step explanation:

Step 1: Add

61(8p - 4)

Step 2: Distribute

488p - 244

Answer:

The minimum value of the bill that is greater than 95% of the bills is $37.87.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 28, \sigma = 6[/tex]

What are the minimum value of the bill that is greater than 95% of the bills?

This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 28}{6}[/tex]

[tex]X - 28 = 6*1.645[/tex]

[tex]X = 37.87[/tex]

The minimum value of the bill that is greater than 95% of the bills is $37.87.

Answer:

(4.75, 2.5), (-0.35, -7.7), (0.4, -6.2)

Step-by-step explanation:

Given the line

[tex]y = 2x- 7[/tex]

Given the missing coordinates:

(4.75, )

(, –7.7)

(0.4, )

We know that every coordinate is of the form [tex](x,y)[/tex].

So, we can easily solve the for other variable if one variable is given from the given line using the graph or the given equation.

For the first coordinate:

(4.75, )

From graph it can be found that y = 2.5

Verifying using the equation.

Putting the value of x = 4.75 in the equation we get:

y = 2[tex]\times[/tex] 4.75 - 7

y = 9.5 - 7 = 2.5

So, the coordinate is  (4.75, 2.5)

For the second coordinate:

(, -7.7 )

From graph it can be found that x = -0.35

Verifying using the equation:

Putting the value of y = -7.7 in the equation we get:

-7.7 = 2x - 7

2x = -7.7 + 7 = -0.7

x = -0.35

So, the coordinate is  (-0.35, -7.7).

For the third coordinate:

(0.4, )

From graph it can be found that y = -6.2

Verifying using the equation.

Putting the value of x = 0.4 in the equation we get:

y = 2[tex]\times[/tex] 0.4 - 7

y = 0.8 - 7 = -6.2

So, the coordinate is  (0.4, -6.2)

Also, please refer to the attached graph.

So, the answer is:

(4.75, 2.5), (-0.35, -7.7), (0.4, -6.2)

Answer: its 2.5, -0.35, -6.2

Step-by-step explanation: in easier words

Answer:

2/3

Step-by-step explanation:

There are 2 numbers out of 3 that fit the rule, 1 and 3. There is a 2/3 chance picking one of them.

Answer:

Step-by-step explanation:

This is the answer because one number that is select is one. A number greater than 2 is 3. SO it is 2/3.

Answer:

  9 and 18

Step-by-step explanation:

The numbers are in the ratio 1 : 2, so the ratio of the smaller to the total is ...

  1 : (1+2) = 1 : 3

1/3 of 27 is 9, the value of the smaller number. The larger number is double this, so is 18.

The numbers are 9 and 18.

Answer:

9 and 18

Step-by-step explanation:

you know the explanation since another guy put it

Answer:

a. True

Step-by-step explanation:

The frequency distribution is a summary of the gathered data set, in which the interval of values is divided into classes.

A requirement for a frequency distribution is for the classes to be mutually exclusive and exhaustive. That is, each individual, object, or measurement in the data set must belong to one and only one class.

Then, we can conclude that each individual, object, or measurement must appear in at least one (in fact, only in one) category or class.

Answer:

Si el cuadrado de la mitad del número de horas que faltan transcurrir del día coinciden con el número de horas transcurridas del día, son las 16:00 hs.

Step-by-step explanation:

Si el cuadrado de la mitad del número de horas que faltan transcurrir del día coinciden con el número de horas transcurridas del día, son las 16:00 hs.

Esto es así porque, como primera medida, la mitad de horas que faltan transcurrir del día no puede ser mayor a 4, puesto que 5 al cuadrado da como resultado 25, es decir, excede el número de horas que tiene un día.

Entonces, siguiendo con dicho razonamiento en sentido decreciente, tenemos que 4 al cuadrado da como resultado 16 (4 x 4). En este caso, 4 sería la mitad de horas que faltan transcurrir en el día, y 16 las horas ya transcurridas. Entonces, como 16 mas 8 da 24, y esa es la cantidad de horas que tiene el día, ésta es la opción correcta.

Answer:

Each table is $6 and each chair is $2.50

Step-by-step explanation:

Answer:

351.5

Step-by-step explanation:

Step 1: Convert fractions to improper

(2.8(14/5(8.75 - 5/2)))7.25 - 15/4

Step 2: Parenthesis

(2.8(14/5(6.25)))7.25 - 15/4

Step 3: Parenthesis

(2.8(17.5))7.25 - 15/4

Step 4: Parenthesis

49(7.25) - 15/4

Step 5: Multiply

355.25 - 15/4

Step 6: Subtract

351.5

Answer:

  5 feet

Step-by-step explanation:

"Twice as tall" means "2 times as tall".

  2 × (2 1/2 ft) = (2 × 2 ft) +(2 × (1/2 ft)) = 4 ft + 1 ft = 5 ft

The child's mother is 5 feet tall.

Answer:

The mother is 5ft tall

Step-by-step explanation:

2 1/2 + 2 1/2 = 5ft

2ft+2ft = 4ft

1/2+1/2= 1ft

4ft+1ft = 5ft

Answer:

a) Mean of X = 0.40

Variance of X = 0.24

b) Y is a Bernoulli's distribution. Check Explanation for reasons.

c) Mean of Y = 0.80 points

Variance of Y = 0.96

Step-by-step explanation:

a) The probability that play is successful is 0.40. Hence, the probability that play isn't successful is then 1 - 0.40 = 0.60.

Random variable X represents when play is successful or not, X = 1 when play is successful and X = 0 when play isn't successful.

The probability mass function of X is then

X | Probability of X

0 | 0.60

1 | 0.40

The mean is given in terms of the expected value, which is expressed as

E(X) = Σ xᵢpᵢ

xᵢ = each variable

pᵢ = probability of each variable

Mean = E(X) = (0 × 0.60) + (1 × 0.40) = 0.40

Variance = Var(X) = Σx²p − μ²

μ = mean = E(X) = 0.40

Σx²p = (0² × 0.60) + (1² × 0.40) = 0.40

Variance = Var(X) = 0.40 - 0.40² = 0.24

b) If the conversion is successful, the team scores 2 points; if not the team scores 0 points. If Y ia the number of points that team scores.Y can take on values of 2 and 0 only.

A Bernoulli distribution is a discrete distribution with only two possible outcomes in which success occurs with probability of p and failure occurs with probability of (1 - p).

Since the probability of a successful conversion and subsequent 2 points is 0.40 and the probability of failure and subsequent 0 point is 0.60, it is evident that Y is a Bernoulli's distribution.

The probability mass function for Y is then

Y | Probability of Y

0 | 0.60

2 | 0.40

c) Mean and Variance of Y

Mean = E(Y)

E(Y) = Σ yᵢpᵢ

yᵢ = each variable

pᵢ = probability of each variable

E(Y) = (0 × 0.60) + (2 × 0.40) = 0.80 points

Variance = Var(Y) = Σy²p − μ²

μ = mean = E(Y) = 0.80

Σy²p = (0² × 0.60) + (2² × 0.40) = 1.60

Variance = Var(Y) = 1.60 - 0.80² = 0.96

Hope this Helps!!!

Answer: z < 36

Step-by-step explanation: To solve for z in this inequality, we multiply by 12 on both sides of the inequality to get z < 36.

We can write this in set notation as {z: z < 36}.

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▹ Answer

z < 36

▹ Step-by-Step Explanation

[tex]\frac{z}{12} < 3\\\\12 * \frac{z}{12} < 12 * 3\\\\z < 12 * 3\\\\z < 36[/tex]

Hope this helps!

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