What is the solution to the system of equations?

The null hypothesis for this test is that the mean ECLSE test score for the university is equal to 1200. The alternative hypothesis is that the mean is not equal to 1200.

To perform the test, you will need to calculate the t-statistic and the p-value. The t-statistic is calculated by:

t = (sample mean - hypothesized mean) / (sample standard deviation/sqrt (sample size))

In this case, the sample mean is 1180, the hypothesized mean is 1200, the sample standard deviation is 100, and the sample size is 100. Plugging these values into the equation gives:

t = (1180 - 1200) / (100 / sqrt(100)) = -20 / 10 = -2

Next, you will need to calculate the p-value. The p-value is the probability of observing a t-statistic as extreme as the one calculated, given that the null hypothesis is true.

To calculate the p-value, you will need to use a t-distribution table or a software package to find the t-critical value for a one-tailed test with 99 degrees of freedom (since you have a sample size of 100) and a significance level of 0.05. The t-critical value is the value that defines the rejection region for the test. If the t-statistic falls in the rejection region, you can reject the null hypothesis.

If the p-value is less than the significance level of 0.05, you can reject the null hypothesis and conclude that the mean ECLSE test score for the university is not equal to 1200 at the 95% significance level. If the p-value is greater than or equal to 0.05, you cannot reject the null hypothesis and cannot conclude that the mean is different from 1200.

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Alice spend a total of $10.50, and the 30% of total was spent on snacks.

So, if we call x the money spent on snacks we have that the ratio between x and total spent money is 30%:

Answer:

92

Step-by-step explanation:

Standard deviation is the square root of variance .

So,

It is used in measuring any deviation or shift from the calculated mean.  

From a data set, the mean of the data can be determined with which the standard deviation can be measure.

Therefore, Standard deviation is use to measure variation that exist in an individual data set. There are different type of data set from which variation is measured.

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Answer:

Area of Floor= (12*30)+ (20*10)

=360+ 200= 560

Ans C

If If Mr. Laura can buy 2.4 kg of sugar for his bakery and then he pours 0.4 kg of sugar in a separate bags, he can make 6 bags of sugar by pouring 0.4 kg of sugar into each bag.

If Mr. Laura bought 2.4 kg of sugar and he pours 0.4 kg of sugar into each bag, then the number of bags of sugar he can make can be calculated using the formula:

Number of bags = Total amount of sugar / Amount of sugar per bag

Using this formula, we can calculate the number of bags of sugar that Mr. Laura can make as:

Number of bags = 2.4 kg / 0.4 kg per bag

Number of bags = 6 bags

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y = -1x - 6

Slope (m) = 1-

Answer:

a

Step-by-step explanation:

22.978 rounded is 23

Answer:

15

Step-by-step explanation:

cancel out from the sides till you have 1 number in the middle but in this case we have 2 numbers.

in a case like that you add both numbers and divide by 2 to get your answer

so 16+14÷2= 15

Answer:

110 cards were sold on Mother's Day

Step-by-step explanation:

Bob's gift shop sold 20% of all the cards sold on Mother's Day.

Let the number of cards sold on Mother's day be m

Bob sold 20% of m or 0.2m

We know that 0.2m is 22, so now we can solve for m

110 cards were sold on mothers day

Note

We know that 0.2 is 1/5, so instead of dividing each side by 0.2, we could have multiplied both sides by 5

-Chetan K

Answer:

2x^4+4x^2+2

Step-by-step explanation:

f(x) = x^2+1

g(x) = 2x^2

g(f(x))=

Replace x in the function g(x) with the function f(x)

         =2( x^2+1)^2

         = 2( x^2 +2x^2 +1)

         = 2x^4+4x^2+2

the equation is of the form y = mx + b, where m = 2, then

for b:

equation is

answer: C.

Answer:

1539/4 (improper fraction) or 384 3/4 (simplified fraction)

Step-by-step explanation:

To find the improper fraction, write 384.75 as a fraction:

384.75/1

Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:

38475/100

Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:

1539/4

To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:

384 3/4

Hope this helps :)

Answer:

Step-by-step explanation:

Assume the cost for a cup of coffee is x and the cost for a cup of tea is y.

For Alex: 4x+3y=6.95

For Ben 5x+2y=7.20

Then multiply Alex's cost by 2 and Ben's by 3 to cancel y.

8x+6y=13.90

15x+6y=21.60

Equation 2 minus equation 1 would be

15x+6y-(8x+6y)=15x+6y-8x-6y=7x

21.60-13.90=7.70

7x=7.70

Then x=1.10 and plugging it one of the equations,

y= 0.85

A cup of coffee costs 1.10 pounds and A cup of tea is 0.85 pounds

:)

Answer:

f(x) = 3.7x + 3

Step-by-step explanation:

Using the fact that y = f(x), then rearrange the equation making y the subject.

- 3.7x = 3 - y ( add y to both sides )

y - 3.7x = 3 ( add 3.7x to both sides )

y = 3.7x + 3 , that is

f(x) = 3.7x + 3

Answer:

Step-by-step explanation:

The problem shows a 90° angle split by a ray, we know that both angles are equal to 90° because the whole is equal to the sum of its parts therefore adding 6b+7 and 7b-8 gives us 90° which is simplified as

13b°-1°= 90°

add 1  to both sides

13b°-1° + 1° = 90° +1°

13b° = 91°

divide by 13

13b°/13 = 91°/13

b= 7°

Answer:

52

Step-by-step explanation:

because it makes sense

Answer: 58

Step-by-step explanation:

90 + 32 + x= 180

122 + x= 180

X= 58

0.529 is the probability that a student does not have a college degree.

From the information given, we know that:

The formula for conditional probability:

P(A|B) = P(A and B) / P(B)

Let A be the event of not having a college degree, and B be the event of being married. We want to find P(A).

Using these values, we can calculate:

P(college degree and B) = (1/2) * (400/850) = 0.235

P(A and B) = 310/850 - 0.235 = 0.07

Finally, we can calculate P(A) using the formula for total probability:

P(A) = 1 - P(college degree)

= 1 - (400/850)

= 0.529

Therefore, the probability that a student does not have a college degree is 0.529.

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Answer:

\(\frac{4}{5}\) (4/5)

just fill out 4 in the blank

Step-by-step explanation:

1. Equal the denominator for 1/4

End result=\(\frac{11}{20}\)

So all the other ones have to be made according to this

20/4=5

1x5=5

\(\frac{1}{4}\) will now be \(\frac{5}{20}\)

2. Figure out what ?/5 will be

If this number is getting subtracted by \(\frac{5}{20}\) then, we have to add \(\frac{11}{20}\) by \(\frac{5}{20}\) to get our answer.

\(\frac{11}{20} +\frac{5}{20} =\frac{16}{20}\)

this means that when \(\frac{16}{20}\) gets subtracted by \(\frac{5}{20}\) it will equal \(\frac{11}{20}\)

3. Simplify 16/20 to it's lowest terms

5x4=20

20/5=4

so, each part (\(\frac{1}{5}\)) worth's 4

20-4=16

So that means, that the simplest for for this is \(\frac{4}{5}\)

just fill out 4 in the blank

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"If you see someone with a smile, give them one of yours!"

quote by FieryAnswererGT

Thanks!

:D

Answer:

4

Step-by-step explanation:

Let the blank = x

Thus,

\(\frac{x}{5}-\frac{1}{4}=\frac{11}{20}\)

\(\mathrm{Add\:}\frac{1}{4}\mathrm{\:to\:both\:sides}\)

\(\frac{x}{5}-\frac{1}{4}+\frac{1}{4}=\frac{11}{20}+\frac{1}{4}\)

\(\mathrm{simplify}\)

\(\frac{x}{5}=\frac{4}{5}\)

\(\mathrm{Multiply\:both\:sides\:by\:}5\)

\(\frac{5x}{5}=\frac{4\cdot \:5}{5}\)

\(\mathrm{simplify}\)

x = 4

Hence, the blank = 4

Equation = \(\frac{4}{5}-\frac{1}{5}=\frac{11}{20}\)

[RevyBreeze]

Answer:

66°{B}

Step-by-step explanation:

30°+57°+27°+x=180°

114°+x=180

x=180°-144°

66°

Answer:

I hope this helps

Step-by-step explanation:

c. The mean of 16.91 and the standard deviation of 0.12 are parameters.

In statistics, parameters are values that describe a population. In this case, the mean ounces and the standard deviation calculated from the sample are used to estimate the corresponding parameters of the population. Since the sample was taken from a larger population of bottles of water, the mean of 16.91 ounces and the standard deviation of 0.12 ounces are estimates of the true population parameters. Therefore, they are considered parameters rather than statistics.

A statistic, on the other hand, is a value calculated from a sample and is used to describe or estimate a population parameter. In this scenario, the values calculated from the sample (mean and standard deviation) are used as estimates of the population parameters, making them parameters rather than statistics.

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Answer:

:)

Step-by-step explanation:

#11 is 78 degrees

#12 is 12.81

#13 is 75.4

To find the market equilibrium price and quantity, we need to set the supply and demand equations equal to each other.

The supply equation is Ps = 3Qs + 3, where Ps represents the price for suppliers and Qs represents the quantity supplied.

The demand equation is Pd = -6Qd + 30, where Pd represents the price for consumers and Qd represents the quantity demanded.

After the subsidy of $9 is given to rubber band consumers, the new demand equation becomes Pd = -6Qd + 21, as the subsidy decreases the price for consumers by $9.

a. To find the market equilibrium price, we set Ps equal to Pd:
3Qs + 3 = -6Qd + 21

b. To find the market equilibrium quantity, we solve for Qs or Qd:
3Qs + 3 = -6(3Qs + 21) + 21
Simplifying, we get 3Qs + 3 = -18Qs - 123
Combining like terms, we have 21Qs = -120
Dividing by 21, we find Qs = -120/21
Qs ≈ -5.71

Since the quantity cannot be negative, we round Qs down to zero.
Qs = 0

c. To find the consumer surplus, we need to find the area below the demand curve and above the equilibrium price. Since the equilibrium price is the same as the price with the subsidy, we can calculate the consumer surplus by finding the area of a triangle:
Consumer Surplus = (1/2) * (Equilibrium Quantity) * (Subsidy)
Consumer Surplus = (1/2) * (Qd) * (9)
Plugging in Qd = 0 (from part b), we get Consumer Surplus = 0.

d. To find the producer surplus, we need to find the area above the supply curve and below the equilibrium price. Since the equilibrium price is the same as the price with the subsidy, we can calculate the producer surplus by finding the area of a triangle:
Producer Surplus = (1/2) * (Equilibrium Quantity) * (Subsidy)
Producer Surplus = (1/2) * (Qs) * (9)
Plugging in Qs = 0 (from part b), we get Producer Surplus = 0.

e. The deadweight loss represents the loss of economic efficiency due to the subsidy. It can be calculated as the difference between the total surplus without the subsidy and the total surplus with the subsidy. In this case, since both the consumer surplus and producer surplus are zero, the deadweight loss is also zero.

f. The government expenditure is the total amount of money the government spends on the subsidy. In this case, the subsidy is $9, and since the quantity supplied is zero, the government expenditure is also zero.

g. The total surplus is the sum of the consumer surplus and the producer surplus. In this case, since both the consumer surplus and producer surplus are zero, the total surplus is also zero.

h. To draw and label a graph for this market, we need to plot the supply and demand curves. The supply curve is Ps = 3Qs + 3, and the demand curve is Pd = -6Qd + 21. The equilibrium price is the point where the supply and demand curves intersect. In this case, the equilibrium price is $3 and the equilibrium quantity is zero.

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(a) is: Let t denote the number of text messages and c the charge, in dollars, (b) The formula is c(t) = 49.99 + 0.10(t - 100).

(a) In this case, we will let t denote the number of text messages and c represent the charge, in dollars.

(b) To write a formula for the cell phone charges as a function of the number of text messages (assuming t is at least 100), we will consider the flat monthly rate of $49.99 and the extra charges of $0.10 per text message after the first 100 messages. The formula will be:

c(t) = 49.99 + 0.10(t - 100)

This formula calculates the total charge, c(t), based on the number of text messages, t. The first 100 text messages are included in the flat monthly rate of $49.99, so we subtract 100 from the total number of text messages, t, and multiply the result by the extra charge per text message, $0.10. Then we add the flat monthly rate of $49.99 to get the total charge, c(t).

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1) We can rewrite that equation from Point Slope to Standard Form just manipulating that given Point-Slope Equation:

2) So let's distribute the factor -6, and then add 6x to both sides and -2 to both sides as well

3) So the answer is:

Note that this is the equivalent form of that original Point-Slope Form equation.

Answer:

A

Step-by-step explanation:

Answer:

The two scores are statistically the same

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

1 /4 x^2 = 9     (Given)         Multiply both sides of the equation by 4

x^2 = 36               sq rt both sides

x = 6

Answer:

The first one is incorrect

Step-by-step explanation:

I'm sorry if this is wrong...

Answer:

I believe the answer is C.