The difference between the most hours of sleep and the least of these students was 2.5 hours. True or false?​

Answer:

Step-by-step explanation:

The given expression is

[tex]36,700 - (5,000 + 500m)=0[/tex]

Where [tex]m[/tex] is months.

We need to solve for the variable.

[tex]36,700-5,000-500m=0\\31,700=500m\\m=\frac{31700}{500} \approx 63.4[/tex]

Therefore, Michael needs to save $63.40, approximately.

Answer:

The number representing describing the value of his signing bonus = 5,000.

Step-by-step explanation:

Total debt = $36,700

He pays $500 every month from his monthly salaries, since m = months.

The $5,000 is the amount of his signing bonus, which puts entirely towards paying off his debt.

It is like the fixed payment.  While the 500m is the variable payment per month.

So, at the end of any number of months, you can easily calculate the remaining debt using the expression, 36,700 - (5,000 + 500m)

Answer:

9 ripe tomatoes

1 1/4 red onion

4/5 garlic cloves

6 jalapeños

2/3 cup fresh cilantro

6 teaspoons ground cumin

5 1/2 teaspoons

3 teaspoons salt

30 ounces crushed tomato (2 cans)

9 ounces dices green chilies (2 cans)

Answer:

Cylinder + Rectangular Prism

Step-by-step explanation:

On the sides we can see 2 half-cylinders. 2 half-cylinders make up 1 whole cylinder. In between the half-cylinders, a rectangular prism is squashed.

Think of this as a sandwich, the 2 buns are half cylinders, and the meat is the prism.

Therefore the answer is a cylinder and a rectangular prism.

Answer:C

Took the test

Step-by-step explanation:

The  equations of an asymptote of the hyperbola are y = 3x - 5 and y = -3x - 5.

The standard form of a hyperbola is:

(x-h)²/a² - (y-k)²/b² = 1

The general equation of the asymptotes for a hyperbola centered at (h,k) with semi-axes a and b is given by:

(y - k) = ± (b/a)(x - h)

To find the equations of the asymptotes of the hyperbola with equation:

(x-2)²/2² - (y-1)²/6² = 1

Plugging in the values, we get:

(y - 1) = ± (6/2)(x - 2)

Simplifying:

y - 1 = ± 3(x - 2)

y = ± 3x - 5

Therefore, the equations of the asymptotes for the given hyperbola are y = 3x - 5 and y = -3x - 5.

To know more about hyperbola check:

https://brainly.com/question/15702563

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Answer:first one is false, second is true and third is true

Step-by-step explanation:

Answer:

[tex]y^{-9}\neq \dfrac{1}{y^{-9}}[/tex]

Step-by-step explanation:

Tyler simplified the expression: [tex]x^{-3}y^{-9}[/tex]  as shown below:

[tex]x^{-3}y^{-9}=\dfrac{1}{x^3}X \dfrac{1}{y^{-9}}=\dfrac{1}{x^3y^{-9}}[/tex]

We notice that in Tyler's work:

[tex]y^{-9}= \dfrac{1}{y^{-9}}[/tex]

Whereas, the correct form would have been:

[tex]y^{-9}= \dfrac{1}{y^{9}}[/tex]

Making our solution:

[tex]x^{-3}y^{-9}=\dfrac{1}{x^3}X \dfrac{1}{y^{9}}=\dfrac{1}{x^3y^{9}}[/tex]

Answer:

#3: x is approximately 0.37, -5.37, #4: x is approximately 4.19, -1.19

Step-by-step explanation:

You can solve using the quadratic equation or by solving with the perfect square

[tex]\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex] = [tex]x^{2}+5x-2=0\\ \frac{-5+/-\sqrt{5^{2}-4(1)(-2) }}{2(1)}[/tex]

x is approximately 0.37, -5.37

Answer:

135

Step-by-step explanation:

A P E X

Answer:

y = 3/2x+3

Step-by-step explanation:

The y intercept is 3.  That is where it crosses the y axis

The slope is

m= (y2-y1)/(x2-x1)  and we have points(0,3) and (-2,0)

   = (0-3)/(-2,0)

  =-3/-2

  =3/2

Using the slope intercept form of a line

y = mx +b where m is the slope and b is the y intercept

y = 3/2x+3

Answer:

Step-by-step explanation:

Hello!

A pilot study was conducted to test if three food rewards are equally appealing to the participants.

Of 60 participants surveyed:

16 preferred cupcakes (CC)

26 preferred candy bars (CB)

18 preferred dried apricots (DA)

If the three types of food are equally appealing for the participants, you'd expect that their proportions will be equal: P(CC)=P(CB)=P(DA)= 1/3

1.

The objective of this pilot study is to test if the observed frequencies follow a theoretical model/ distribution. To analyze this, you have to apply a Chi Square Goodness to Fit test. [tex]X^2=sum \frac{(O_i-E_i)^2}{E_i} ~~X^2_{k-1}[/tex] Where k= number of categories of the variable.

For this example the statistical hypotheses are:

H₀: P(CC)=P(CB)=P(DA)= 1/3

H₁: At least one of the proportions isn't equal to the others.

2.

To calculate the expected frequencies for each category you have to use the formula: [tex]E_i= n* P_i[/tex] where Pi represents the theoretical proportion for the i category, stated in the null hypothesis.

[tex]E_{CC}= n* P(CC)= 60*1/3= 20[/tex]

[tex]E_{CB}= n*P(CB)= 60*1/3= 20[/tex]

[tex]E_{DA}= n* P(DA)= 60* 1/3= 20[/tex]

3.

The cutoff or critical value indicates the beginning of the rejection region for the hypothesis test. For the Chi-Square tests, the rejection region is always one-tailed to the right, meaning that you'll reject the null hypothesis if the value of the statistic is big. For the goodness to fit test you have k-1 degrees of freedom, so the critical value will be:

Assuming α: 0.05

[tex]X^2_{k-1;1-\alpha /2}= X^2_{2;0.975}= 7.378[/tex]

The rejection region is then X²₂ ≥ 7.378

4.

[tex]X^2_{H_0}= \frac{(O_{CC}-E_{CC})^2}{E_{CC}} + \frac{(O_{CB}-E_{CB})^2}{E_{CB}} + \frac{(O_{DA}-E_{DA})^2}{E_{DA}} = \frac{(16-20)^2}{20} +\frac{(26-20)^2}{20} +\frac{(18-20)^2}{20}= \frac{14}{5}= 2.8[/tex]

I hope this helps!

Answer: center (-7,-8) radius (2/3)

Step-by-step explanation:

Answer:

The answer is 10/36 or if you want to simplify, 5/18

Step-by-step explanation:

To solve the area of a rectangle, you need to multiply the sides with each other, so 5/12 x 2/3 is 10/36 (unsimplified) . You multiply the numerators and then the denominators and simplify.

Answer:

The average of the extracted scores that are extreme values (outliers) = 102

Step-by-step explanation:

With the logical assumption that the population size is large enough, for a normal distribution,

68% of the data lies within 1 standard deviation of the mean.

95% of the data lies between 2 standard deviations of the mean.

99.7% of the data lies within 3 standard deviations of the mean.

So, the outliers for a normal distribution are usually beyond 3 standard deviations of the mean.

The mean = 128.5

Standard deviation = 8.2

The range of scores within 3 standard deviations of the mean is obtainable thus

(Mean ± 3standard deviations)

3 × standard deviations = 3 × 8.2 = 24.6

(128.5 ± 24.6) = (103.9, 153.1)

The 3 extracted scores are 148, 102 and 152. The only extreme value of these 3 extracted scores is 102. The two other scores are within the range of 3 standard deviations of the mean.

Hence, the average of the extracted scores that are extreme values (outliers) = 102

Hope this Helps!!!

Answer:1236.4 ft^3

Step-by-step explanation:

height=h=7ft

Diameter=15ft

Radius=r=15/2=7.5ft

Volume of cylinder=π x r^2 x h

Volume of cylinder=3.14 x (7.5)^2 x 7

Volume of cylinder=3.14x7.5x7.5x7

Volume of cylinder=1236.375

Volume of cylinder=1236.4 ft^3

Answer:

g = 8 points

b = 6 points

Step-by-step explanation:

If each girl scores g points, and each boy scores b points, then:

8g + 5b = 94

8g − 5b = 34

Add the equations together.

16g = 128

g = 8

Solve for b in either equation.

8(8) + 5b = 94

5b = 30

b = 6

Answer: x^5y^2

Step-by-step explanation:

Answer:

the answer is a on edge 2020

Step-by-step explanation:

I just took the test

Answer:

4/5

Step-by-step explanation:

just divide by 10 since that's the largest number that both numbers can equally be divisible by

Answer:

4/5 because 40/50 simplified is 4/5 bc you knock off the zeros for question like that

Step-by-step explanation:

Answer:

x=4 and y=3

Step-by-step explanation:

put one of the equations in slope form and solve

Answer:x=4 y=3

Step-by-step explanation:

5x-4y=8.............(1)

2x+y=11................(11)

From (11) y=11-2x

Substitute y=11-2x in 5x-4y=8

5x-4y=8

5x-4(11-2x)=8

Open bracket

5x-44+8x=8

Collect like terms

5x+8x=8+44

13x=52

Divide both sides by 13

13x/13=52/13

x=4

Substitute x=4 in 2x+y=11

2(4)+y=11

8+y=11

Collect like terms

y=11-8

y=3

Answer:

i) The bottles of iced tea filled in a plant is the Population

ii) The Average of Population μ = 20 is called Parameter

iii) The sample size 'n' = 50

iv) The mean of the sample 'x⁻ = 19.6 ounces

Step-by-step explanation:-

Population:-

The total number of observations which we are concerned , whether this number be finite or infinite is called Population.

In Given data

The bottles of iced tea filled in a plant is the Population

Parameter:-

The statistical constants of the Population namely mean and variance are usually refereed to as Parameters.

The Average of Population μ = 20 is called Parameter

Sample:-

A sample is a subset of population

given data sample size n=50 bottles at random from the days of production

Statistics

The sample mean x⁻ and variance S² is called statistics

Given data

These bottles contained an average of 19.6 ounces of iced tea

x⁻ = 19.6 ounces

Answer:

65.45 units^3

Step-by-step explanation:

5/2 (5 divided by 2) 2.5, to get the radius,

then using the volume equation you get 65.449846-bla bla, rounding: 65.45

-Hope this helps! ❤️

Answer:

1/8

Step-by-step explanation:

You would need to get the reciprocal of negative eight and then change the sign so you would get 1/8

Each student will take=320/64

=5

So the answer is 5.

Hope it will be helpful to you...

✧◝(⁰▿⁰)◜✧

Answer:

The graph of g(x) = |x - h| + k is a translation of h units horizontally and k units vertically of the graph of f(x) = | x |.

Hope this helps.

Answer:

H units horizontally, k units vertically

Step-by-step explanation:

Answer:

112.5

Step-by-step explanation:

To find the area of a parallelogram, you can simply multiply the length of the base by the height. In this case, this is 15*7.5=112.5 square centimeters. Hope this helps!

Answer:

Step-by-step explanation:

Answer:

1/32

Step-by-step explanation:

1/4 divided by 8 equals 1/32 using calculator. No explanation really... Brainliest?

Answer:

1) 1/32

Step-by-step explanation:

1/4 = 0.25

0.25/8 = 0.03125

turn 0.03125 into a fraction and get = 1/32