Johnny will work 15 hours a week during the l36 week school year, and 40 hours a
week the other 16 weeks of the year. How many hours will he work over the course
of the year?

Answer:

A . (2x + 9) and (x-4)

Explanation:

Given parameters:

 Given trinomial;

               2x² + x - 36

Possible dimensions of the yard = ?

Solution:

To solve this apply the quadratic factorization;

        2x² + x - 36 = 0

        2x² -8x  + 9x - 36  = 0

        2x(x - 4) + 9(x -4) = 0

      (2x + 9) (x -4) = 0

The possible dimensions of the rectangular yard is (2x + 9)  and (x -4)

Answer

A ratio is a comparison of two quantities by division. Ratios describe a part-to-part comparison or a part-to-whole comparison. Ratios are written three ways: as a fraction, with a colon, and with the word “to.” The ratio for quantity a to quantity b is : a to b, a over b, and a:b

Answer:

The 95% confidence interval for the standard deviation is (0.14, 0.54).

Step-by-step explanation:

The complete data and question is:

Sloth CW Ratios ; {1.5 , 1.09 , 0.98 , 1.42 , 1.49 , 1.25}

The 95% confidence interval for the standard deviation of this data is  < σ <   (two decimals - include the leading zero) .

Solution:

Compute the sample standard deviation as follows:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{6}\times 7.73=1.2883\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{6-1}\times 0.2387}=0.2185[/tex]

The (1 - α)% confidence interval for the variance is:

[tex]CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}<\sigma^{2}<\frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2}}[/tex]

Confidence level = 95%

⇒ α = 0.05

The degrees of freedom is,

df = n - 1 = 6 - 1 = 5

Compute the critical values of Chi-square:

[tex]\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.025,5}=12.833\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{0.975,5}=0.831[/tex]

*Use a Chi-square table.

Compute the 95% confidence interval for the variance as follows:

[tex]CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}<\sigma^{2}<\frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2}}[/tex]

     [tex]=\frac{5\times (0.2185)^{2}}{12.833}<\sigma^{2}<\frac{5\times (0.2185)^{2}}{0.831}\\\\=0.0186<\sigma^{2}<0.2873\\\\=\sqrt{0.0186}<\sigma<\sqrt{0.2873}\\\\=0.1364<\sigma<0.5360\\\\\approx 0.14<\sigma<0.54[/tex]

Thus, the 95% confidence interval for the standard deviation is (0.14, 0.54).

Answer:

47 minutes

Step-by-step explanation:

In elapsed time, it's better to make your problem more readable so it's easier to solve. Add 2 minutes into 10:28 so it turns into 10:30. Then add 30 minutes so it turns into 11:00 AM. Finally, add 15 minutes so it turns into the 11:15 you were looking for. When you combine the minutes allotted (2, 30, and 15) you get 47 minutes.

Answer:

I got D. 20

Step-by-step explanation:

-5/3 times -2/3 equals 10/9

10/9 times -18 equals -20

Hope this helps dude ^-^

Answer:

Step-by-step explanation:

Step-by-step explanation:

There are several ways we can do this.

x = cos t, y = sin t, t ≥ 0 traces the unit circle in a counterclockwise direction starting at (1, 0).

To change the direction, we can multiply one of these by -1.  Then choose an initial value of t so that the starting point is (-1, 0).

x = -cos t, y = sin t, t ≥ 0

x = cos t, y = -sin t, t ≥ π

Or, we can change the direction by switching the equations.

x = sin t, y = cos t, t ≥ 3π/2

We can also multiply both by -1:

x = -sin t, y = -cos t, t ≥ π/2

Of these four examples, I would say the first is the simplest and most straightforward, but all of them achieve the same result.

Answer:

1 is 125, 2 is 175, 3 is 225, 4 is 275.

Step-by-step explanation:

50 for one hour plus 75.

50+75=125

50+50+75= 175

50+50+50+75=225

50+50+50+50+75=275.

Answer:

There is no constant slope. I hope this helps!

Answer:

-3

Step-by-step explanation:

You can use the slop formula--

22-1 divided by 8-1 = 21/7 = 3

You can check by using any other two points and see if you get the same answer.

Hope this helps!

Answer:

2

Step-by-step explanation:

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

Answer:

17 1/30

Step-by-step explanation:

Answer:

The answer is 1/6.

53/6 is the largest and -26/3 is the smallest.

Answer:

x-intercept (-7.5, 0)

y-intercept (0, 5.5)

Hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

3w+2w= 10

5w= 10

w = 10/5

w = 2

Answer:

w = 2

Step-by-step explanation:

3w+2w= 10

Combine like terms

5w = 10

Divide each side by 5

5w/5 = 10/5

w = 2

Answer with step-by-step explanation:

3/4 converted into 8ths is 6/8. When you add up 6/8 + 7/8, you end up with the answer of 13/8

Hope this was helpful! (brainliest please)

Answer:

Step-by-step explanation:

3/4 + 7/8

Make them have common denominators:

3/4 = 6/8

so...

6/8 + 7/8 = 13/8

Answer:

No, ur friend is not correct

| 3x + 8 | - 9 = -5 You have to get the absolute value (and everything in it) on one side of the equal sign, and everything else on the other side. So we have to get that -9 across the equal sign by adding 9 to both sides.

| 3x + 8 } = -5 + 9

| 3x + 8 | = 4 So that number is not negative anymore.

now u can set up ur 2 equations and solve for x, your 2 equations would be:

3x + 8 = 4 and 3x + 8 = -4

** If that -9 would not have been there, then ur friend would have been correct.

Hope this helps!!

Step-by-step explanation:

Answer:

y=42h  or h=y/42

Step-by-step explanation:

The constant would be the number of yards of yarn required for each hat .

Answer:  The first number is 30.

The second number is 120.

The third number is 130

Step-by-step explanation:

x + 4x + x+ 100 = 280

6x = 280-100

6x= 180

x = 30

Answer:

-26

Step-by-step explanation:

Answer:

3/7

Step-by-step explanation:

15 divided by 5 = 3

35 divided by 5 = 7

hope this helps

Step-by-step explanation:

David earns $8 per hour. He works 40 hours each week. How much does he earn in 6 weeks? . After 6 weeks, who earned more money? How much more money?

he would earn 1,680 because if he works 40 hours per week when you divide by 7 cuz there a 7 days in a week he works 5 hours each day. then we multiply 5 with 8 and it's 40 so he earns 40 dollars per day then if week multiply 40 with 7 we get 280 and that's what he earns per week. then I came and tried to figure out how many days are in 6 weeks and I got 42 so then i came and multiplied the hours(5) which then gave me 210 then I multiped that (210) and 8 together and got 1,680

1.Michael earns $9 per hour. He works 28 hours each week. How much does he earn in 6 weeks?

so what i did was divide 28 by 7 the 7 was for the days and the 28 was for the hours so per day he works 4 hours and he earns 36 dollars per day .and then i came to know what the final answer was I came a figured out how many days are in 6 weeks and it's 42 so then I came and multiped the hours with the days which gave me 168  then I multiped that by the amount of money he earns per hour and it gave me 1,512 per 6 weeks

Answer:

Kindly check explanation

Step-by-step explanation:

Assuming a normal distribution :

Sample (x) :25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Null hypothesis : μ = 25

Alternative hypothesis : μ > 25

α = 0.05

Decision region :

Reject Null if :

t0 > t

t can be obtained from the t distribution table at : df = (n - 1) = 10 - 1 = 9 ; α = 0.05

Hence, t(0.05, 9) = 1.833

From the sample given ; t0

t0 = (m - μ) / (s /√n)

n = sample size = 10

s = sample standard deviation

m = sample mean

Using calculator :

25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Sample mean(m) = 26

Sample standard deviation (s) = 1.624

t0 = (26 - 25) / (1.624 /√10) = 1.947

1.947 > 1.833

Hence, reject Null

B)

Confidence interval at 90% ; α = 0.1

m ± t(0.1/2 ; 9) * s/√n

m - t * s/√n ≤ μ ≤ m + t * s/√n

26 - 1.833 * (1.624/√10) ≤ μ ≤ 26 + 1.833 * (1.624/√10)

25.059 ≤ μ ≤ 26.941

Answer:

The type of transformation is translation and the change can be described as a translation of 5 to the right.

Answer:

Correct answer is: Alternate Exterior Angles Theorem

Step-by-step explanation:

See attached picture.

The angles ∠1≅∠11 are equal by alternate exterior angles theorem and corresponding angles postulate. The correct options are A and D.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

According to the alternate outside angle theorem, alternate exterior angles are regarded as congruent angles or angles of equal measure when two parallel lines are intersected by a transversal.

In the given image there are two parallel lines and one line is intersecting the two parallel lines at some angle.

Angle 1 and angle 11 will be equal to each other because of the two properties of angles that are alternate exterior angles theorem and corresponding angles postulate.

Therefore, the angles ∠1≅∠11 are equal by alternate exterior angles theorem and corresponding angles postulate. The correct options are A and D.

The image of the complete question is attached with the answer below.

To know more about an alternate exterior angles theorem follow

https://brainly.com/question/24755745

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Answer:

125, 250, 500, 625

Step-by-step explanation:

As you can see, half of the pool is 500. 2 halves would make a whole, concluding the pool is 1000. Then for the 1/8, do 1000/8. Getting 125. 1000/4 would make it 250. And then taking the 125 from the earlier division of 8 and multiplying by 5 will get you 625. Hope this helps <3

Thus the required number of male and female students are 9 and 31 respectively.

Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

here,
Let the number of male students is x and the number of female students be y,
According to the question,

x + y = 40
x = 40 - y ----- (1)
Now,
again from the question,

5y = 3x + 128
3x = 5y - 128
from equation 1
3 (40 - y) = 5y -128
120 - 3y = 5y - 128
120 + 128 = 8y
8y = 248
y = 31
Now,
From equation 1
x = 40 - y
x = 40 - 31
x = 9

Thus the required number of male and female students are 9 and 31 respectively.

Learn more about arithmetic here:

brainly.com/question/14753192

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Answer:

m22 answer will be in your book only

Answer:

+/- 8i

Step-by-step explanation:

x^2 = -64

square root (x^2) = square root of (-64)

x =  +/- 8* the square root of (-1)

x = plus or minus 8i

The solution for the given quadratic equation are 8i and -8i.

The given quadratic equation is x²=-64.

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

Here, square root on both the sides of an equation

That is, x=√(-64)

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

= ±8i

Therefore, the solution for the given quadratic equation are 8i and -8i.

To learn more about the complex numbers visit:

https://brainly.com/question/10251853.

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Answer:  [tex][5, \infty)[/tex]

On a keyboard, you would write [5, infinity)

The square bracket means "include this value" and a curved parenthesis means "exclude this value". We cannot include infinity as it is not a number, so we always use parenthesis with either infinity.

[tex]y \ge 5[/tex] is the same as [tex]5 \le y[/tex] which is also the same as [tex]5 \le y < \infty[/tex] which may help lead to set up the interval notation answer.