REFERENCE: LESSO
Estimate the difference of 645 and 273.​

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.

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Answer:

48x divided by 8= 6p

Step-by-step explanation:

Answer:

  1.8 times the cost of labor.

Step-by-step explanation:

At the beginning of the year, the rate for overhead was estimated to be ...

  (overhead $)/(direct labor $) = $396/$220 = 1.8

The overhead rate is 1.8 times the labor cost.

Answer:

By either graphing or completing the square

Step-by-step explanation:

The fastest way to find the vertex is to graph the equation and trace the graph to your vertex to find your point.

Alternatively, you can complete the square to get form f(x) = a(bx - h)² + k (vertex form) and find your vertex (-h, k).

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:

(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).

Answer:

$24, $30, $36

Step-by-step explanation:

First we need to find the unit rate.

1. 18÷3 = 6

So that means one taco costs $6.

6*4 = 24

6*5 = 30

6*6 = 36

The cost of 4 taco is $24, 5 taco is $30 and 6 taco is $36.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

3 tacos cost $18.

Cost of 1 taco= 18/ 3

= $6

So, cost of 4 taco = 4 x 6 = $24

and, cost of 5 taco = 5 x 6= $30

and, cost of 6 taco = 6x 6= $36

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Answer:

-7

Step-by-step explanation:

y−x=9 ⇒ y=x+9

10+2x=−2y

5+x= -y  ====== replacing y with x+9

5+x= -x-9

2x= -14

x= -7

Answer:

-7

Step-by-step explanation:

y - x = 9

10 + 2x = -2y

Solve for y in the first equation.

y = 9 + x

Put y as 9 + x in the second equation and solve for x.

10 + 2x = -2(9 + x)

10 + 2x = -18 - 2x

2x + 2x = -18 - 10

4x = -28

x = -28/4

x = -7

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 percentage points within which the obtained results would differ from the real population value.

Step-by-step explanation:

The ideas of the margin of error and confidence interval are borne from the observed truth, which is that there is always room for error in any statistically computed figure such as a survey or poll. For example, the result of a poll could show an 80% confidnce interval with a margin of error of 3%. This simply means that if the poll was repeated, 80% of the real population would fall within an estimate of 3%.

Statistics are not always error proof. Sometimes, the results might even be totally different from the computed results. So, it is very important that room is made for the possibility of an error, and that is why we need the mrgin of error.

Hope you understand :)

Answer:

x°=55°

Step-by-step explanation:

90°=35°+x°

90°-35°=x°

55°=x°

therefore, x°=55°

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

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:

112.569 ( D )

Step-by-step explanation:

Applying the estimated Regression Equation

y = b1X1 + b2X2 + a

b1 = ((SPX1Y)*(SSX2)-(SPX1X2)*(SPX2Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 596494.5/635355.88 = 0.93884

b2 = ((SPX2Y)*(SSX1)-(SPX1X2)*(SPX1Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 196481.5/635355.88 = 0.30925

a = MY - b1MX1 - b2MX2 = 149.25 - (0.94*61.31) - (0.31*193.88) = 31.73252

y = 0.939X1 + 0.309X2 + 31.733

For x1 ( age ) =39, and  x2(weight) =143

y = (0.93884*39) + (0.30925*143) + 31.73252= 112.569

where

Sum of X1 = 981

Sum of X2 = 3102

Sum of Y = 2388

Mean X1 = 61.3125

Mean X2 = 193.875

Mean Y = 149.25

attached is the Tabular calculation of the required values needed for estimated regression equation

Answer:

The amount in the account at the end of three years will be $59,861.

Step-by-step explanation:

The formula to compute the amount at the end of t years, compounded continuously is:

[tex]A=P\times e^{t\times i}[/tex]

Here,

A = Amount at the end

P = Principal amount

i = interest rate

t = number of years.

It is provided that:

P = $50,000

i = 6%

t = 3 years

Compute the amount in the account at the end of three years as follows:

[tex]A=P\times e^{t\times i}[/tex]

   [tex]=50000\times e^{(3\times 0.06)}\\=50000\times 1.19722\\=59861[/tex]

Thus, the amount in the account at the end of three years will be $59,861.

Answer:

2/3

Step-by-step explanation:

Total sides = 6

Number 5 and all even numbers = 1+3

=> 4

P(5 or even ) = 4/6

=> 2/3

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:

a

Step-by-step explanation:

Answer:

b my man or women

Step-by-step explanation:

no need for one

Answer:

The answer is below

Step-by-step explanation:

For the first clock that is 20 minutes faster in a day, that means it is [tex]\frac{20\ min}{60\ min/hr}=\frac{1}{3}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours faster.

Since 1 day = 1/3 hr faster

x days = 24 hr faster

Let x number of days be required to be 24 hr faster. To find x we use the formula:

[tex]x=\frac{24 \ hr* 1\ day}{\frac{1}{3}hr } \\x=72\ days[/tex]

For the second clock that is 30 minutes slower in a day, that means it is [tex]\frac{30\ min}{60\ min/hr}=\frac{1}{2}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours slower.

Since 1 day = 1/2 hr slower

y days = 24 hr faster

Let x number of days be required to be 24 hr slower. To find x we use the formula:

[tex]y=\frac{24 \ hr* 1\ day}{\frac{1}{2}hr } \\y=48\ days[/tex]

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:

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:

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Step-by-step explanation:

We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.

The probability of k online retail orders that turn out to be fraudulent in the sample is:

[tex]P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}[/tex]

We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:

[tex]P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483[/tex]

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Answer:

The value of the 2nd 5 is 50,000 and it is in the ten thousands place

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.

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Answer: 3 grams

Step-by-step explanation:

[tex]210\bigg(\dfrac{1}{2}\bigg)^6=\dfrac{210}{64}\quad =\large\boxed{3.28125}[/tex]

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:

Add 3, 144

+3,990

And you wil get your answer

7, 134

Answer:

[tex] \frac{c}{a + b} [/tex]

Step-by-step explanation:

Point A is on the origin, hence its coordinates would be (0, 0). Coordinates of point C are (a + b, c)

Slope of AC

[tex] = \frac{c - 0}{a + b - 0} \\ \\ = \frac{c}{a + b} \\ [/tex]

Answer:

In the green box of the numerator, enter "c"

In the gray bax in the denominator, there should be "a"

Step-by-step explanation:

Slope is Rise/Run.

Here the rise is "c" because the base is at 0, and the top of the parallelogram is at "c"

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

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.

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