Five less than the product of eight and a number

Answer:

The only true statement is statement 2.

On most days the temperature varied about 4.3 degrees from the mean temperature.

Step-by-step explanation:

The MAD is known as the Mean Absolute Deviation for any given dataset.

The absolute deviation is a measure of dispersion which quantifies the spread of the variables in the dataset from the mean.

It gives the only the positive value of the deviations of each variable from the mean.

The mean absolute deviation now signifies the average of the sum of all of these positive deviations of each variable from the mean.

Hence, the MAD value only gives how much the variables will varubfrom the mean on average.

Looking at the statements, it is evident that the MAD temperature value of 4.3 doesn't directly give the maximum or minimum variation from the mean temperature or the highest variation from the mean, rather it does show that 'On most days the temperature varied about 4.3 degrees from the mean temperature'.

Hope this Helps!!!

Answer:

a c e

Step-by-step explanation:

Answer:

(See explanation below for further details).

Step-by-step explanation:

Let be a parametric curve represented by [tex]x = 3\cdot t - 5[/tex] and [tex]y = 5\cdot t + 1[/tex], where [tex]t[/tex] is the parametric variable.

The curve is represented graphically with the help of a graphing tool, whose outcome is included in the image attached below. The corresponding rectangular equation is found by eliminating t of each equation.

[tex]t = \frac{x+5}{3}[/tex] and [tex]t = \frac{y-1}{5}[/tex]

[tex]\frac{x+5}{3} = \frac{y-1}{5}[/tex]

[tex]5\cdot (x+5) = 3\cdot (y-1)[/tex]

[tex]5\cdot x +25 = 3\cdot y - 3[/tex]

[tex]5\cdot x -3\cdot y = -28[/tex]

The parametric equations represents a linear function (first-order polynomial).

Hope you understand :)

Answer:

x°=55°

Step-by-step explanation:

90°=35°+x°

90°-35°=x°

55°=x°

therefore, x°=55°

Answer:

19.2

Step-by-step explanation:

Net income                                   $940,000

No of shares outstanding             $188,000

Earning per share = Net income / no of shares outstanding  

Earning per share = 940,000 / 188,000

Earning per share = 5

Market price per share  = 96

Price earning ratio = Market price / Earning per share

Price earning ratio = 96 / 5  

Price earning ratio = 19.2

Answer:

2

Step-by-step explanation:

A corresponding angle is in the same position on another parallel line

1 and 2 are both above the parallel line and  to the left of the transversal

1 and 2 are corresponding angles

Answer: Angle 2

Step-by-step explanation:

Corresponding Angles are angles that take up the same spot at independent vertices, with the same transversal.  Both angle 1 and 2 are the top left angles of their vertex.

Hope it helps <3

Answer:

a² + 2ab + b² + ac + bc

Step-by-step explanation:

(a + b + c) * (a + b) = aa + ab + ac + ba + bb + bc

= a² + 2ab + b² + ac + bc

The trick you use here is called the distributive property.

Answer:

[tex]a^2+b^2+2ab+ac+bc[/tex]

Step-by-step explanation:

[tex](a+b+c(a+b)=\\a^2+ab+ac+ab+b^2+bc=\\a^2+b^2+ab+ab+ac+bc=\\a^2+b^2+2ab+ac+bc[/tex]

Answer:

48x divided by 8= 6p

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = average daily cost to rent a car in Los Angeles

x2 = average daily cost to rent a car in Las Vegas

s1 = sample standard deviation for Los Angeles

s2 = sample standard deviation for Las Vegas

n1 = number of sampled cars in Los Angeles

n2 = number of sampled cars in Las Vegas

Degree of freedom = (n1 - ) + (n2 - 1) = (40 - 1) + (40 - 1) = 38

For a 95% confidence interval, the t score from the t distribution table is 2.024

From the information given,

x1 = 102.24

s1 = 5.98

n1 = 40

x2 = 97.35

s2 = 4.21

n2 = 40

x1 - x2 = 102.24 - 97.35 = 4.89

Margin of error = z√(s1²/n1 + s2²/n2) = 2.024√(5.98²/40 + 4.21²/40) = 2.024√1.3371125

= 2.34

The 95% confidence interval is 4.89 ± 2.34

Hypothesis testing

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean average daily cost to rent a car in Los Angeles and μ2 be the the mean average daily cost to rent a car in Las Vegas

The random variable is μ1 - μ2 = difference in the mean average daily cost to rent a car in Los Angeles and the mean average daily cost to rent a car in Las Vegas

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 > μ2 H1 : μ1 - μ2 > 0

This is a two tailed test

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

t = (102.24 - 97.35)/√(5.98²/40 + 4.21²/40)

t = 4.23

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [5.98²/40 + 4.21²/40]²/[(1/40 - 1)(5.98²/40)² + (1/40 - 1)(4.21²/40)²] = 1.78786983766/0.02552804373

df = 70

We would determine the probability value from the t test calculator. It becomes

p value = 0.00007

Since alpha, 0.05 > than the p value, 0.00007, then we would reject the null hypothesis. Therefore, at 5% significance level, there is sufficient evidence to conclude that there is a significant difference in the rates between the two cities.

The expression ㏑(4/9) is equivalent to the expression will be 2 ㏑ 2 - 2 ㏑ 3. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.

The expression is given below.

⇒ ㏑(4/9)

Simplify the equation, then we have

⇒ ㏑(4/9)

⇒ ㏑ 4 - ㏑ 9

⇒ ㏑ (2)² - ㏑ (3)²

⇒ 2 ㏑ 2 - 2 ㏑ 3

The expression ㏑(4/9) is equivalent to the expression will be 2 ㏑ 2 - 2 ㏑ 3. Then the correct option is A.

More about the equivalent link is given below.

https://brainly.com/question/889935

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If digits can repeat and it can start with zero than there are 10 options for every digit so the answer is 10**7, or 10000000.

hope this helps, plz mark branliest?

Number of 7-digit PIN codes using only the digits 0-9 are possible is 9000000.

We need to find the how many different 7-digit PIN codes using only the digits 0-9 are possible.

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.

First digit: 1,2,3,4,5,6,7,8,9 (cannot be 0 else it will be a 6-digit number) (9 choices)

2nd digit: 0,1,2,3,4,5,6,7,8,9 (10 choices)

As we go on, we realise that from the 2nd to 7th digit, we have 10 options (0,1,2,3,4,5,6,7,8,9)

Number of ways to get 7-digit numbers using 0-9 would be 9×10×10×10×10×10×10=9000000.

Therefore, number of 7-digit PIN codes using only the digits 0-9 are possible is 9000000.

To learn more about the permutation and combination visit:

https://brainly.com/question/28065038.

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Answer:

1) 2(x-1)^2

2)  y=2(x-1)^2

Step-by-step explanation:

The 1st one is a statement in the terms of x, and the 2nd on is in the slope intercept(graphing) format

Answer:

Option C

Step-by-step explanation:

The datasets is incomplete. Here is the correct question.

The data represents the number of minutes dan spent on his homework each night 30, 35, 35, 45, 46, 46 52, 55, 57. Which box plot correctly represents the data

The question lacks the required option. Find the options in the diagram below:

To get the correct box plot to represent the data, we need to calculate the lower quartile, median and the upper quartile of the data.

Since our data is already in increasing order of magnitude we can go ahead and calculate this parameters.

To get the lower quartile, we will find Q1 first.

Q1 = N+1/4 th value.

This means we have to locate the N+1/4 the value.

N is the total number present in the dataset = 9

Q1 = 9+1/4 = 10/4

Q1 = 2.5th value

This equivalent is the third value in the dataset.

Hence, our lower quartile is 35

Median is the middle value after rearrangement.

Based on the datasets, the value at the middle is 46 by inspection.

For the upper quartile Q3,

Q3 = 3(N+1)/4 th value

Q3 = 3(9+1)/4

Q3 = 30/4

Q3 = 7.5th value

The upper quartile is the 8th value in the dataset i.e 55

Based on the box plots, the only box that correctly plots this values [35, 46 and 55] is the third option.

Answer:

A

Step-by-step explanation:

edg2020

Answer:

  B, D

Step-by-step explanation:

In dollars per hour, the rates are ...

  A. $1200/(48 h) = $25/h

  B. $500/(50 h) = $10/h

  C. $750/(25 h) = $30/h

  D. $1500/(150 h) = $10/h . . . . matches B

  E. $800/(40 h) = $20/h

Choices B and D are the same, at $10/hour.

Answer:

x=1.2

Step-by-step explanation:

25x^2 -36=0

25x^2 =36

25x^2/25=36/25

x^2 =1.44

x=square root of 1.44

x=1.2

Answer: Car-maker C1

Explanation:

The minimum value is visually shown as the tip of the left whisker. For car-maker C1, the min value is 12. For car-maker C2, the min value is 10, which we can see is less than C1's value. So that's why C1 is the answer.

Hey there! :)

Answer:

A. 23.

Step-by-step explanation:

Given:

5 + 2(x + 7)² for x = -4

Substitute in -4 for x in the equation:

5 + 2((-4) + 7)²

5 + 2(3)²

5 + 2(9)

5 + 18 = 23.

Therefore, the correct answer is A. 23.

Answer:

23

Step-by-step explanation:

5 + 2(x + 7)^2

Let x =-4

5 + 2 ( -4+7)^2

Parentheses first

5 +2 (3)^2

5+ 2*9

Multiply

5+18

add

23

Answer:

First blank is 4, second blank is 0

Step-by-step explanation:

divide it :)

Answer:

Yellow box #1=0

Yellow box #1=4

Step-by-step explanation:

The probability of heads would be 1 - probability of tails.

1-0.4 = 0.6

The probability of getting heads is 0.6

Based on the information given, the probability will be 0.6.

From the question, it was stated that Leon throws a biased coin and that the probability of getting tails is 0.4.

Therefore, the probability of getting heads will be:

= 1 - 0.4

= 0.6.

In conclusion, the correct option is 0.6.

Learn more about probability on:

https://brainly.com/question/25870256

Answer:

Option A

Step-by-step explanation:

Given function is,

f(x) = x² + 3x + 5

We have to find the value of f(a + h) so we will substitute (a + h) in place of x, and simplify the expression.

f(a + h) = (a + h)² + 3(a + h) + 5

           = a² + 2ah + h² + 3(a + h) + 5 [(a + b)² = a² + 2ab + b²]

           = a² + 2ah + h² + 3a + 3h + 5

Therefore, Option A will be the answer.

Answer:

a. 55 cars

b. 25 cars

Step-by-step explanation:

Let's call the number of cars with stereo systems N(ss), with air conditioners N(ac) and with sun roofs N(sr).

So we have that:

N(ss) = 30

N(ac) = 30

N(sr) = 40

N(ss and ac and sr) = 15

N(at least two) = 30

a.

To find how many cars have at least one option (N(at least one) or N(ss or ac or sr)), we have:

N(ss or ac or sr) = N(ss) + N(ac) + N(sr) - N(ss and ac) - N(ss and sr) - N(ac and sr) + N(ss and ac and sr)

N(ss or ac or sr) = 30 + 30 + 40 - (N(at least two) + 2*N(ss and ac and sr)) + 15

N(ss or ac or sr) = 30 + 30 + 40 - (30 + 2*15) + 15 = 55

b.

The number of cars that have only one option is:

N(only one) = N(at least one) - N(at least two)

N(only one) = 55 - 30 = 25

Answer:

1. H0: P1 = P2

2. Ha: P1 ≠ P2

3. pooled proportion p = 0.542

4. P-value = 0.0171

5. The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

6. The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

Step-by-step explanation:

We should perform a hypothesis test on the difference of proportions.

As we want to test if there is significant difference, the hypothesis are:

Null hypothesis: there is no significant difference between the proportions (p1-p2 = 0).

Alternative hypothesis: there is significant difference between the proportions (p1-p2 ≠ 0).

The sample 1 (science), of size n1=135 has a proportion of p1=0.607.

[tex]p_1=X_1/n_1=82/135=0.607[/tex]

The sample 2 (math), of size n2=92 has a proportion of p2=0.446.

[tex]p_2=X_2/n_2=41/92=0.446[/tex]

The difference between proportions is (p1-p2)=0.162.

[tex]p_d=p_1-p_2=0.607-0.446=0.162[/tex]

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

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{82+41}{135+92}=\dfrac{123}{227}=0.542[/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{0.542*0.458}{135}+\dfrac{0.542*0.458}{92}}\\\\\\s_{p1-p2}=\sqrt{0.001839+0.002698}=\sqrt{0.004537}=0.067[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.162-0}{0.067}=\dfrac{0.162}{0.067}=2.4014[/tex]

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

[tex]\text{P-value}=2\cdot P(z>2.4014)=0.0171[/tex]

As the P-value (0.0171) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

We want to calculate the bounds of a 99% confidence interval of the difference between proportions.

For a 99% CI, the critical value for z is z=2.576.

The margin of error is:

[tex]MOE=z \cdot s_{p1-p2}=2.576\cdot 0.067=0.1735[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.162-0.1735=-0.012\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.162+0.1735=0.335[/tex]

The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

Answer:

25%

Step-by-step explanation:

Sum the parts of the ratio, 7 + 5 + 4 = 16 parts

Of the 16 parts, 4 parts are blue, thus percentage is

[tex]\frac{4}{16}[/tex] × 100% = [tex]\frac{1}{4}[/tex] × 100% = 25%

Answer:

[tex]\boxed{\sf \ \ \ x = 1 \ \ , \ \ y = 1 \ \ \ }[/tex]

Step-by-step explanation:

hello

we can multiply by 10 both parts of the equations so this is equivalent to

(1) 15x + 8y = 23

(2) 3x - 2y = 1

and we are asked to use the method of substitution

from (2) we can write 3x = 2y + 1

and we substitute 3x in (1) as 15x = 5*3x it comes

5*(2y+1) + 8y = 23

<=> 10y + 5 + 8y = 23

<=> 18y + 5 = 23  let's subtract 5

<=> 18y = 23 - 5 = 18  let's divide by 18

<=> y  =  1

and finally replace y in 3x = 2y + 1

3x = 2*1 + 1 = 3 <=> x = 1 (divide by 3)

so the solution is x = 1, y = 1

hope this helps

Answer:

(1,1)

Step-by-step explanation:

1.5x + 0.8y = 2.3

0.3x − 0.2y = 0.1

I'm going to multiply both of these equations by 10, so we can work with whole numbers.

15x+8y=23

3x-2y=1

We can simplify one of the equations to isolate a variable.

I'm going to isolate y in equation 2.

3x-2y=1

Subtract 3x from both sides.

-2y=-3x+1

Divide both sides by -2.

y=1.5x-0.5

Plug 1.5x-0.5 into the first equation for y.

15x+8(1.5x-0.5)=23

Distribute.

15x+12x-4=23

Combine like terms.

27x-4=23

Add 4 to both sides.

27x=27

Divide both sides by 27.

x=1

Plug that back into original equation to find y.

15(1)+8y=23

15+8y=23

Subtract 15 from both sides.

8y=8

Divide both sides by 8.

y=1

The solution to the system is (1,1).

Answer:

The total number of ways the researcher can select  5 women and 5 men for a study is 7,56,756.

Step-by-step explanation:

The complete question is:

From a group of 10 women and 15 men, a researcher wants to randomly select  5 women and 5 men for a study in how many ways can the study group be selected?

Solution:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

 [tex]{n\choose k}=\frac{n!}{k!\cdot (n-k)!}[/tex]

The number of women in the group: [tex]n_{w}=10[/tex].

The number of women the researcher selects for the study, [tex]k_{w}=5[/tex]

Compute the total number of ways to select 5 women from 10 as follows:

[tex]{n_{w}\choose k_{w}}=\frac{n_{w}!}{k_{w}!\cdot (n_{w}-k_{w})!}=\frac{10!}{5!\cdot (10-5)!}=\frac{10!}{5!\times 5!}=252[/tex]

The number of men in the group: [tex]n_{m}=15[/tex].

The number of men the researcher selects for the study, [tex]k_{m}=5[/tex]

Compute the total number of ways to select 5 men from 15 as follows:

[tex]{n_{m}\choose k_{m}}=\frac{n_{m}!}{k_{m}!\cdot (n_{m}-k_{m})!}=\frac{15!}{5!\cdot (15-5)!}=\frac{15!}{5!\times 10!}=3003[/tex]

Compute the total number of ways the researcher can select  5 women and 5 men for a study as follows:

[tex]{n_{w}\choose k_{w}}\times {n_{m}\choose k_{m}}=252\times 3003=756756[/tex]

Thus, the total number of ways the researcher can select  5 women and 5 men for a study is 7,56,756.

Answer:

60%

Step-by-step explanation:

3 of the 5 elements in P are odd (5, 11, & 13), so the probability is 3/5 or 60% or 0.6. (Depending on the format your teacher wants it in).

Answer:

The correct set of hypotheses is:

[tex]H_0: \pi=0.75\\\\H_a:\pi>0.75[/tex]

Step-by-step explanation:

This should be researched with a hypothesis test on the proportion of tourists visiting Rock City.

The claim that want to be tested is if the proportion has increased from the past proportion (π=0.75).

Then, the alternative hypothesis will state that the proportion is significantly higher than 0.75.

On the contrary, the alternative hypothesis will state that the proportion is not significantly different than 0.75.

This can be written as:

[tex]H_0: \pi=0.75\\\\H_a:\pi>0.75[/tex]

Answer: 49/9

Step-by-step explanation: 42/9 + 7/9 = 49/9

Make first fraction into improper fraction with the same common dominator as 7/9 and add them both

Hope this helps:)

Answer:

49/9

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

as it indicates whole F in the figure

Venn diagram are used to represent the relationships between sets. The correct notation for the shaded region is (d) F.

Given the attached Venn diagram.

The shaded region highlights

This means that options (a) and (b) are false because set G is not shaded

This also means that option (c) is false because the shaded region is just a part of set M, and not the whole set M.

Hence, we can conclude that option (d) is correct because the whole of set F is shaded.

Read more about Venn diagrams at:

https://brainly.com/question/13367217

Answer:

f(x) translate 2 units down to get the function g(x).

Step-by-step explanation:

From the given tables it is clear that the x-values for both tables are -2,-1,2,3,4.

Difference between y-values of both functions are:

[tex]\dfrac{-17}{9}-\dfrac{1}{9}=-2[/tex]

[tex]\dfrac{-5}{3}-\dfrac{1}{3}=-2[/tex]

[tex]7-9=-2[/tex]

[tex]25-27=-2[/tex]

[tex]79-81=-2[/tex]

So, difference between y-values of both functions is constant, i.e., -2.

Now, we get

[tex]g(x)=f(x)-2[/tex]

It means function f(x) shifts 2 units down to get the function g(x).

Therefore, f(x) translate 2 units down to get the function g(x).

Answer: horizontal or vertical stretch

Step-by-step explanation:

P= R - C = -0,5x^2 + 70x -2100= 300

P=-0,5x^2 +70x -2400=-0,5(x^2 -140x +4800)=-0,5(x^2- 80x -60x +4800)=-0,5(x-60)(x-80)=0

so x =60 or x=80

Answer:

Total cost is 123 items selled