Which of the pairs (2, 3), (1, 2.5), (6, 1), or (−2, 2) is the solution to the equation 4y−x= 10?

Answer:

The critical value that should be used is T = 2.0796.

The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 22 - 1 = 21

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0796, which is the critical value that should be used.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0796\frac{15.49}{\sqrt{22}} = 6.868[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.78 - 6.868 = $91.912

The upper end of the interval is the sample mean added to M. So it is 98.78 + 6.868 = $105.648

The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.

Answer:

£108.90

Step-by-step explanation:

[tex]121 \times 10\% \\ = 121 \times 0.10 \\ = 108.90[/tex]

Answer:

9

Step-by-step explanation:

20-11=9

☁️ Answer ☁️

9

Take 11 away from 20

Have a nice day noona/hyung.

9514 1404 393

Answer:

  21.07

Step-by-step explanation:

The tangent ratio is ...

  Tan = Opposite/Adjacent

For the given values, this is ...

  tan(36°) = x/29

Solving for x, we have ...

  x = 29·tan(36°)

  x ≈ 21.07

Answer:

60.

Step-by-step explanation:

we have a decimal so we need to get rid of it, move It over twice.

1.5, 15.

and do the same for 9

90., 900.

now we can divide

60.

15 900.

90

00

0

Answer: 33. Glucose 34. stomach

Step-by-step explanation:

Answer:

[tex] y = -\frac{3}{2}x + 12 [/tex]

Step-by-step explanation:

The missing numbers represent the slope/rate of change (m) and y-intercept (b) of the table of values given.

✔️Let's find slope (m) using any two given pairs of values, say (2, 9) and (4, 6):

Slope (m) = change in y/change in x

= (6 - 9)/(4 - 2)

= -3/2

m = -³/2

✔️Find b by substituting (x, y) = (2, 9), and m = -³/2 into y = mx + b

Thus,

9 = -³/2(2) + b

9 = -3 + b

9 + 3 = b

b = 12

The missing numbers are -³/2 and 12.

Which will give us:

[tex] y = -\frac{3}{2}x + 12 [/tex]

Answer:

-8x+8=-6x+20 and x= -6

Step-by-step explanation:

Reason to equation:

This image shows alternative interior angles.

Alternative interior angles are congruent to each other.

How to find x:

-8x+8=-6x+20

We subtract 8 from both sides

-8x=-6x+12

We add 6x to both sides

-2x=12

We divided -2 from both sides

-2x/-2x = 12/2

Leaving us with x=-6

Answer:

y=50x+0

Step-by-step explanation:

y=mx+b is y-intercept form

I will make x= hours and y= distance (miles)

every 1 you add to x has to represent 50 miles

for the y intercept, it was unspecified so I assumed 0

Hope this helps :)

Answer:

y=50x

Step-by-step explanation:

Answer:

volume of box(v)=l×b×h

=1×6×4

=24ft^3

so it required 24volume sand to fill the box

Answer:

Most snow- 3 1/2 inch least snow, 1/2 inch

Step-by-step explanation:

Answer:

arc TQ= 69°          (44 + 25)

arc QR = 155°       (180 - 25)

arc TS = 111°         (360 - 44 - 25 - 155 - 25)

arc SQR = 335°    (360 - 25)

arc RQT = 224°    (155 + 25 + 44)

Answer:

Slope = ⁵/7

Step-by-step explanation:

Slope (m) = change in y / change in x

Using two points on the graph, (-4, -4) and (3, 1),

Slope (m) = (1 - (-4))/(3 - (-4)) = 5/7

Slope (m) of the line = 5/7

Answer:

1015 will be your answer!

Step-by-step explanation:

2 x 3 x 4 x 6 x 7 + 7 =

6 x 24 x 7 + 7 =

144 x 7 + 7 =

1008 + 7 =

1015

Answer:

Hi! The answer to your question is [tex]1015[/tex]

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

43 inches

Step-by-step explanation:

Answer:

[tex] \displaystyle a_{1} = 108[/tex]

Step-by-step explanation:

we are given

the sum,common difference and nth term of a geometric sequence

we want to figure out the first term

recall geometric sequence

[tex] \displaystyle S_{ \text{n}} = \frac{ a_{1}(1 - {r}^{n} )}{1 - r} [/tex]

we are given that

thus substitute:

[tex] \displaystyle 189= \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{1 - \frac{1}{2} } [/tex]

to figure out [tex]a_1[/tex] we need to figure out the equation

simplify denominator:

[tex] \displaystyle \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2} } = 189[/tex]

simplify square:

[tex] \displaystyle \frac{ a_{1}(1 - {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2} } = 189[/tex]

simplify substraction:

[tex] \displaystyle \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2} } = 189[/tex]

simplify complex fraction:

[tex] \displaystyle a_{1} (\frac{7}{8} ) \div { \frac{1}{2} } = 189[/tex]

calculate reciprocal:

[tex] \displaystyle a_{1} \frac{7}{8} \times 2 = 189[/tex]

reduce fraction:

[tex] \displaystyle a_{1} \frac{7}{4} \ = 189[/tex]

multiply both sides by 4/7:

[tex] \displaystyle a_{1} \frac{7}{4} \times \frac{4}{7} \ = 189 \times \frac{4}{7} [/tex]

reduce fraction:

[tex] \displaystyle a_{1} = 27\times 4[/tex]

simplify multiplication:

[tex] \displaystyle a_{1} = 108[/tex]

hence,

[tex] \displaystyle a_{1} = 108[/tex]

Answer:

$153

Step-by-step explanation:

Answer:

31.43

Step-by-step explanation:

3 1/7 = 3.14285714285

3 1/7 x 10 = 31.4285714286 which is about 31.43

Answer:

31 [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]\frac{22}{7}[/tex]×[tex]\frac{10}{1}[/tex]

[tex]\frac{220}{7}[/tex]

31 [tex]\frac{3}{7}[/tex]

Answer:

As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

Step-by-step explanation:

Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:

4706 = 100

468 = X

468 x 100/4706 = X

46,800 / 4,706 = X

9.94 = X

Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

Answer:

498,000

Step-by-step explanation:

Answer:

11.75:1

Step-by-step explanation:

alrighty right, more unit rates, so we have to get that 8 down to 1. How are we gonna do that? By dividing it by 8. And if we divide one side by 8, we also have to divide the other side:

8 ÷ 8 = 1

94 ÷ 8 = 11.75

So 94 hours to 8 days in lowest terms is 11.75 hours to 1 day

Answer:

35

Step-by-step explanation:

Substitute x in the equation for 10

x/2 = 10/2

+ 3x = + 3(10)

10/2 = 5

+ 3(10) = + 30

5 + 30 = 35

Answer:

The equation is P - 42 = 12

P = 54

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

The missing number is 121. I got this by doing 764-130-513=121. You would do this because you are trying to find the number that would allow 130 and 513 to add up to 764.

Another way to look at this problem is 513+130= 643

764-643=121

In conclusion, 513+121+130=764

Answer:

the answer will be 121

Step-by-step explanation:

because 513 + 130= 643 then 121 + 643 = 764

Answer:

9.4m is the answer.

Step-by-step explanation:

a = 8m

b = 5m

c = ?

According to the Pythagoras theorem,

a² + b² = c²

8² + 5² = c²

64 + 25 = c²

89 = c²

c = 9.433

Rounding off,

c = 9.4m

Answer:

x over 5 or x divided by 5

Step-by-step explanation:

x over 5 : [tex]\frac{x}{5}[/tex]

x divided by 5 : x ÷ 5

Answer:

2.5 inches

Step-by-step explanation:

Area= 50 square inches

Base= 20 inches

Height=?

Area= base×height

50= 20× x

50= 20x

x= 50/20

= 2.5

Hence the height is 2.5 inches

Answer:5 inches

Step-by-step explanation:

Answer: 2880 hours

Explanation: 120 days times 24 hours