Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1

Answer:

-180000

Step-by-step explanation:

Squaring both sides of the inequality gives

Since x cannot be less than 0 (there is not square root for negative numbers), the above becomes

Now, from the choices given, the numbers that lie in this interval are 93 and 99; thereofre, the correct choices are

C. 93

F. 99.

Answer:

if the two pizzas has 8 slices each and there's 9 boys everyone has one pizza and some leftover

Step-by-step explanation:

Answer:

4/9th??? i think im wrong

Answer:

It's 0.4% sorry if it will be wrong

Answer:

x=74

Step-by-step explanation:

because those two angles you can assume are equal, and all you have to do is subtract 180 by 32 and divide 148 by 2 to get the other two parts of the triangle.

Answer:

There are 154,440 ways.

Step-by-step explanation:

The word arrange means that the order in which the books are placed is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

\(P_{(n,x)} = \frac{n!}{(n-x)!}\)

In this question:

5 books from a set of 13. So

\(P_{(13,5)} = \frac{13!}{(13-5)!} = 154440\)

There are 154,440 ways.

In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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Answer:

x=84

Step-by-step explanation:

\(\frac{36}{3}=\frac{x}{7}\)

(cross multiply)

252=3x

(divide both sides by 3)

x=84

Answer:46.2

Step-by-step explanation:

The graphs of the functions f(x) and g(x) are attached with the answer.

       \(${\displaystyle G=\{(x,f(x))\mid x\in X\}.}\)

Given are the functions f(x) and g(x).

The given functions are -

f(x) = \($100(\frac{3}{5})^{x}\)

g(x) = \($100(\frac{2}{5})^{x}\)

Refer to the graphs of the function f(x) and g(x).

Therefore, the graphs of the functions f(x) and g(x) are attached with the answer.

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The values of the angles are:  (a) 154⁰( b) 26⁰ (c) 154⁰  (d) 154⁰  (e) 90⁰  (f) 116⁰  (g) 64⁰  (h) 154⁰  (j) 154⁰

We should use the types of angles to determine the sizes of the angles each.

a) To find the value of a, we have 180-26 = 154⁰ The reason is the angle on a straight line

(b) The value of b is 26⁰ (vertically opposite angles)

(c) The value of c is : c=j=54⁰  (vertically opposite angles)

(d) The angle b is : 180-26 = 154 ( angles on a straight line)

(e) The angle e is : 90⁰

(f) The value of angle f is 180-64 =116⁰⁰  ( angles on a straight line)

(g) Angle g is given as: 64⁰  (vertically opposite angles)

(h) The value of angle: g=h=64⁰ ( Alternate angles are equal)

(j) Angle j is: c=j=154⁰  (vertically opposite angles)

In conclusion, he values of the angles are:  (a) 154⁰( b) 26⁰ (c) 154⁰  (d) 154⁰  (e) 90⁰  (f) 116⁰  (g) 64⁰  (h) 154⁰  (j) 154⁰

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Given the initial expression,

Simplify it as shown below

52s is the maximum time that she can take on her last lap and still make the team.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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Answer:

p=92.

Step-by-step explanation:

7p=644

/7     /7   -----> divide by 7 on both sides

_______

p=92

Hope this helps!

Answer:

Divide both sides of the equation by 7

The variable is 92

Step-by-step explanation:

The contrapositive of the statement "For every pair of integers x and y, if xy is even, then x is even or y is even" is:

"For every pair of integers x and y, if x is odd and y is odd, then xy is odd."

To prove the original statement by contrapositive, we must show that if the contrapositive is true, then the original statement must also be true.

Proof:

Suppose that x and y are integers such that xy is even, and x is odd and y is odd. We must show that x is odd and y is odd.

Since x is odd, we can write x = 2k + 1 for some integer k. Similarly, we can write y = 2m + 1 for some integer m, since y is odd.

Then, xy = (2k + 1)(2m + 1) = 4km + 2k + 2m + 1 = 2(2km + k + m) + 1.

Since 2km + k + m is an integer, we can see that xy is odd. This proves the contrapositive statement.

Therefore, by the contrapositive, we have shown that for every pair of integers x and y, if xy is even, then x is even or y is even.

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Answer:

-1/3

Step-by-step explanation:

The slope of the line passing through the points (-2, 5) and (1, 4) is m = -1/3.

Answer:

Below.

Step-by-step explanation:

3x=400

x=400/3 or 133.33

2x= 266.66

Therefore, the tanks must have sizes, 133.33 and 266.66 gallons!

The probability of observing an 85°F temperature or higher in Los Angeles during a randomly chosen day in June is 0.266.

We are given information about the temperatures in Los Angeles for the month of June. The average daily high temperature in June in LA is 80°F. The standard deviation in the temperature values is 8°F. The temperatures in June closely followed a normal distribution. We need to find the probability of observing an 85°F temperature or higher in Los Angeles during a randomly chosen day in June. Let the mean, standard deviation, value, z-score, and probability be represented by the variables M, S, X, Z, and P. First of all, we will find the z-score for the given temperature value.

Z = (X - M)/S = (85 - 80)/8 = 5/8 = 0.625

We want to find the probability for Z-values greater than or equal to the calculated z-score. We need to use the z-score table to find the corresponding probability.

P(z ≥ 0.625) = 0.26599

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Step-by-step explanation:

>

Since he wanted to run farther this week so the last week 26.1 which is the distance he ran is less than the distance of this week

Hope this helps...

Answer:

Use the greater than symbol.

His goal does not include running exactly 26.1 miles; he needs to run more than 26.1 miles.

Equality should not be part of the solution set.

Step-by-step explanation:

Answer:

A.) Population : All employees at a firm

B.) μ = 5.4

C.) Sample : 80 employees at a firm

D.) Sample mean, x bar = 4.5

Step-by-step explanation:

From the question :

E.)

H0: μ ≥ 5.4

H1 : μ < 5.4

F.)

If Pvalue < α ; Reject H0

G.)

Test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(4.5 - 5.4) ÷ (2.7/sqrt(80))

-0.9 ÷ 0.3018691

= - 2.98

H.)

Pvalue fro Zscore calculator, α = 0.10 = 0.002882

I.)

Decision :

0.002882 < 0.10

Since, Pvalue < α ; We reject the Null

J.)

We Can conclude that the true mean number of sick days for all employees of the firm has decreased after telecommuting was introduced

The value of m∠Q as shown in the right-angled triangle below is 62.59°.

The Formula used is:

m∠Q = cos⁻¹(s/r)........................ (1)

Where:

s = 29 m

r = 63 m

Now, Substitute these values into equation 1

m∠Q = cos⁻¹(29/63)

m∠Q = cos⁻¹(0.46)

m∠Q = 62.59°

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The answer of the given question based on Statistics to find minimum monthly premium payments is option D) Plan 2, since it has lower monthly premium payments.

Probability is  measure of  likelihood or chance of an event occurring. It is expressed as  number between 0 and 1, where 0 indicates an impossible event and 1 indicates  certain event

Assuming that the coverage details are similar, we can compare the monthly premium payments for each plan based on the different categories of coverage:

Individual: Plan 1 has a monthly premium of $87.32, while Plan 2 has a monthly premium of $11.77. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Spouse: Plan 2 has a monthly premium of $735.00, while Plan 1 has a monthly premium of $890.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Child: Plan 2 has a monthly premium of $606.00, while Plan 1 has a monthly premium of $750.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Family: Plan 2 has a monthly premium of $1,400.00, while Plan 1 has a monthly premium of $1,600.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Based on these comparisons, we can see that Plan 2 has a lower monthly premium for all categories of coverage. Therefore, the answer is option D: Plan 2, since it has lower monthly premium payments.

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Answer:

125 times is the answer

Step-by-step explanation:

do simple math:

\(\frac{5}{12}\) × 300

= 125

Being the answer

125 being the answer

Answer:

Step-by-step explanation:

Answer:

You cannot add two numbers that have different variables.

Step-by-step explanation:

You can multiply them, but since 3 is multiplied by "a" or a different number than "b" then the answer would be incorrect.

Answer:

because 3a and 3b have different variables. You can't add "unlike terms" to each other because the variables have different values. by writing 3a+2b as 5ab, you're completely changing the meaning of the problem. You would get a totally different answer than you would by just adding the two terms together.

The value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)

Let's simplify the expression step by step:

Recall the values of trigonometric functions for common angles:

cos(60°) = 1/2

sin(30°) = 1/2

tan(60°) = √(3)

cot(45°) = 1

sec(30°) = 2

Substitute the values into the expression:

\(2(cos^4 60 + sin^4 30) - (tan^2 60 + cot^2 45) + 3sec^2 30\)

= \(2((1/2)^4 + (1/2)^4) - (\sqrt{(3)^2 + 1^2} ) + 3(2^2)\)

= 2(1/16 + 1/16) - (3 + 1) + 3*4

= 2(1/8) - 4 + 12

= 1/4 - 4 + 12

= -15/4 + 12

= -15/4 + 48/4

= 33/4

Therefore, the value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)

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Using the z-distribution, it is found that she should take a sample of 46 students.

The confidence interval is:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

The margin of error is:

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which:

In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:

\(6\sigma = 800 - 200\)

\(6\sigma = 600\)

\(\sigma = 100\)

The sample size is n when M = 29, hence:

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(29 = 1.96\frac{100}{\sqrt{n}}\)

\(29\sqrt{n} = 196\)

\(\sqrt{n} = \frac{196}{29}\)

\((\sqrt{n})^2 = \left(\frac{196}{29}\right)^2\)

n = 45.67.

Rounding up, a sample of 46 students should be taken.

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Answer:

x

Step-by-step explanation:

(x−y + x+y) / 2

2x / 2

x