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Answer:

Kari = 20 hours

Chris = 10

Mark = 10

Explanation:

K is Kari's hours

C is Chris's hours

Karis = 2 x C = K

Chris = C

Mark = C

3C - 10 = K

Assume C is 10 (since 10 is 1/3 of the hours mentioned)

2 x 10 = 20 so K worked 20 hours

20 is twice as much as 10 (C's hours)

and it's 30 - 10 (10 less than 3 times as many hours as Mark)

Answer:

D. 8​

Step-by-step explanation:

y varies jointly as x and z

y = k(xz)

-------------------------

Find k, the constant of variation

y = 12 when x = -2 and z=3

12 = k(-2 * 3)

12 = k(-6)

k = -2

-------------------------

find y when x is 4 and z is -1

using k = -2

y = -2(4 * -1)

y = -2(-4)

y = 8

Answer:

70 ft

Step-by-step explanation:

20 + 20 + 15 + 15 = 70

Answer:

a)H0: β1= 1 and Ha: β1 ≠1

b) The test statistic is____.t= b- β/ sb

c) The p-value is____.0.999144

(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.    

The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.

Step-by-step explanation:

This is called testing hypotheses about β, the population regression co efficient.

The null and alternate hypotheses are

H0: β1= 1 and Ha: β1 ≠1

The significance level is ∝=0.1 and ∝/2 is 0.05

The critical region at t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699

The test statistic is

t= b- β/ sb

which has t distribution with υ= 31-2= 29 degrees of freedom.

Calculations

Ŷ = a +bX

b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²

b = 39671.6/39680= 0.9998

a = y` - bx`

x`= 60

y`= 59.989

a = 59.989 -0.9998*60 = 0.001734

Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965

Syx= 36.9822

Sb= Syx/ √∑  (x-x`)²

Sb= 36.9823/ √39680

Sb= 36.9823/ 199.984

Sb= 0.18493

x-x`                 y-y`                    (x-x`)²     (x-x`)(y-y`)

-60                 -59.969            3600              3598.1419

-56                  -55.999           3136          3135.9458

-52                 -52.079             2704          2708.1097

-48                -47.959              2304           2302.0335

-44                 -43.899              1936          1931.5574

-40                -39.989               1600          1599.5613

-36              -36.009                1296            1296.3252

-32               -31.899              1024              1020.769

-28               -28.049             784                785.3729

-24                -23.959             576               575.0168

-20               -19.989             400                  399.7806

-16                 -15.939            256                  255.0245

-12               -12.039             144                    144.4684

-8                  -7.989             64                       63.9123  

-4                 -4.119                16                      16.4761

0                 -0.08903           0                         0

4                  3.921              16                      15.6839

8                7.961                64                       63.6877

12                12.121             144                     145.4516

16                16.031             256                   256.4955

20               20.021           400                  400.4194

24               24.111              576                   578.6632

28                28.071           784                     785.9871

32                 31.751            1024                    1016.031

36               36.031           1296                    1297.1148

40                39.961          1600                    1598.4387

44                43.881           1936                     1930.7626

48               48.021           2304                     2305.0065

52              52.001             2704                     2704.0503

56             56.051              3136                       3138.8542

60            60.041                3600                     3602.4581

∑0          0                 39680 (SSx)     39671.6 (SPxy)

Putting the values

The test statistic is

t= b- β/ sb

t= 0.9998-1/ 0.18493

t=-0.0010815

Since the calculated t=-0.0010815  does not lie in the critical region  t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.

The p-value is  ≈ 0.999144

there is not enough evidence to reject the null hypothesis.    

Answer:

It's equal to 3² + 4² + 5² = 9 + 16 + 25 = 50

Answer:

18.7

Step-by-step explanation:

Use the Pythagorean Theorem.

Simplify.

Simplify.

Square root both sides

Simplify. Ignore negative root, as length must be positive.

Round to the nearest tenth.

Answer:18.7

Step-by-step explanation:

Answer:

22 is the range for the data set.

Answer:

4761

Step-by-step explanation:

69 times 69 since it is to the power of 2.

Answer:

4761

Step-by-step explanation:

[tex]69 *69=4761[/tex]

please give brainliest I need to feed my children

If you need an estimate for #5, then you can round each value to the nearest whole number to have...

Add up those values: 21+21+19+19 = 80

-------------------

Another estimate you could do is to round everything to 20, since we're close to this value. Having four copies of 20 added leads to 20+20+20+20 = 80

So they rode a total estimated amount of 80 miles

--------------------

The actual total is:  21.6+20.9+19.4+18.5 = 80.4 miles, which isn't too far off from 80.

Answer:

3 and 4

Step-by-step explanation:

3^3 = 27

4^3 = 64

Answer:

its decreasing

Step-by-step explanation:

the graph will always be read from left to right.

Answer:

X=70

Step-by-step explanation:

70 + 75 + 35 =180

x + x+5 + x-35

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

W = 2L + 3, and:

P = 2W + 2L = 192

Substituting 2L + 3 for W, we get:

P = 2(2L + 3) + 2L = 192, or

4L + 6 + 2L = 192, or:

6L = 186

L = 186/6 = 31

The length is 31, the width is 62 + 3, or 65

Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62  = 192 (OK!)

Answer:

f(5) = 15

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x) , that is

f(5) = 5² - 2(5) = 25 - 10 = 15

Answer:

[tex]\sqrt[3]{\frac{-729}{216} } = \sqrt[3]{\frac{9*9*9*}{6*6*6} } = (\frac{9^3}{6^3})^{\frac{1}{3} } = \frac{9}{6} = \frac{3}{2}[/tex]

option a

Answer:

Step-by-step explanation:

6600

The car is about $6529.12 eleven years after it was bought.

The formula below can be used to determine a car's value after a particular number of years if its value depreciates by half every five years:

[tex]\rm P=P_{\circ} \left ( \dfrac{1}{2} \right)^{x/5}[/tex]

Here, x is how long ago the car was bought.

With x = 11 and a starting value of $30,000, this calculation yields:

[tex]\rm P=$30,000 \times \left ( \dfrac{1}{2} \right)^{11/5}\\[/tex]

Simplify the equation, then we have

P = $30,000 x 0.2176

P = $6529.12

The car is about $6529.12 eleven years after it was bought.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

Answer:

The value of given expression is 13 / 3

Step-by-step explanation:

Given expression in the form of improper fraction;

17/3 - [tex]1\frac{1}{3}[/tex]

Find;

The value of given expression

Computation:

⇒ 17/3 - [tex]1\frac{1}{3}[/tex]

Step 1 ;

Change mixed fraction into simple fraction

⇒ 17/3 - 4/3

Step 2 ;

By taking LCM of denominators;

⇒ [17 - 4] / 3

Step 3 ;

Subtract 17 from 3

⇒ [13] / 3

The value of given expression is 13 / 3

Step-by-step explanation:

| |

-4. +15

Answer:

[tex]g(x) = 4[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 3\frac{x}{2}[/tex]

Required

Find g(2)

This is calculated as:

[tex]g(x) = 3\frac{x}{2} \\[/tex]

Substitute 2 for x

[tex]g(x) = 3\frac{2}{2}[/tex]

[tex]g(x) = 3+1[/tex]

[tex]g(x) = 4[/tex]

Answer:

8

Step-by-step explanation:

if you take all of the numbers 5 5 6 6 7 7 7 8 8 8 9 9 9 9 10

8 is in the midle thus making it the median

i apologise if this is wrong i have not done this kind of math in a while, but i hope this helps

Answer:

its 8...................

Answer:181.5

Step-by-step explanation:

5.5*5.5*6

multiply by six because there are six side

Answer:

78 ft²

Step-by-step explanation:

[tex]A=\frac{a+b}{2} h[/tex]

[tex]A=\frac{11+15}{2}6[/tex]

78

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

=  [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

=  [ (2 × - 215) + (46 × 14) ]

    = 23.5 (- 430 + 644)

   = 23.5 × 214

   = 5029

Answer:

1 2/5

Step-by-step explanation:

4/5 divided by 4/7

(4/5) x (7/4) = 28/20=7/5 or 1 2/5

Answer:

16

Step-by-step explanation:

I think sorry if I'm wrong

Answer: 7x+7

Step-by-step explanation:1

Eliminate redundant parentheses

(5x+10)+(2x-3)

(5x+10)+(2x−3)

5x+10+2x-3

5x+10+2x−3

2

Subtract the numbers

5x+10+2x−3

5x+7+2x

Combine like terms

5x+7+2x

7x+7

Solution

7x+7