find the velue of y? y²=169​

Testing the hypothesis, it is found that the appropriate test statistic is z = 0.54.

At the null hypothesis, it is tested if the proportion of women physics majors in your college is the same as the national average of 19%, that is:

[tex]H_0: p = 0.19[/tex]

At the alternative hypothesis, it is tested if the proportion is different, that is:

[tex]H_1: p \neq 0.19[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are:

[tex]p = 0.19, n = 50, \overline{p} = \frac{11}{50} = 0.22[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.22 - 0.19}{\sqrt{\frac{0.19(0.81)}{50}}}[/tex]

[tex]z = 0.54[/tex]

A similar problem is given at https://brainly.com/question/24166849

Answer:

Money for coach tickets is $1280 and money for first class is $7600

Step-by-step explanation:

8 x 160 = 1280

8x 950 = 7600

Answer: x(.25)+(4+x(.25))=y

Step-by-step explanation:

1. set up the equation-

Ali has an unknown amount of quarters so make that x.

We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on

Tom has 4 more, since he has 4 more it is 4+x and one again times .25

2. that is it

Answer:

because the total is 300 not 100 so 50 is not reasonable because that is the percentage they planted and since it is more than 100 then it should be a percent of 300 not 100. Maya is wrong about placing 50 bulbs instead they placed 150.

Step-by-step explanation:

Answer:

they are technically congruent due to same angles n same or equal sides

Answer:

Step-by-step explanation:

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

so your amswer is A. True

Answer:

Step-by-step explanation:

What’s it’s answer I am wonder

Answer:

the answer is 162 I used a calculator this app is so cool

Answer:

6 hours.

Step-by-step explanation:

This is directly proportional, meaning if you multiply one side by a number, you multiply the other side by the same number. For the ratio 50:4, you would have to multiply 1.5 to 50 to get 75 miles, so you would also have to multiply 4 by 1.5. This would get you 6 hours.

Ben forgot that finding the area is not using the diameter, but using the radius. The radius is 1/2 of the diameter, so r=4.5. Then you would use the formula [tex]\pi*r^{2}[/tex], which would be 3.14x4.5x4.5, which is 63.585 cm squared.

Answer:

D. (19,12)

Step-by-step explanation:

For each bus stop, the X coordinate increases 4, and the Y coordinate increases 2.

Name                x      y      Point

bus station:     3   4     (3,4)

1st bus stop:     7  6     (7,6)

2nd bus stop:    11  8     (11,8)

3rd bus stop:     15  10     (15,10)

4th bus top:     19  12     (19,12)

Answer:

Step-by-step explanation:

19,12

Answer:

1.4

Step-by-step explanation:

Use the distance formula

d= √(x2-x1)² +(y2-y1)² , where x1, x2, y1, y2 are the coordinates of the points

A(x1 = −1, y1 =  5) and B(x2 = 0, y2 = 4)

d= √(0 - -1 )² +(4 - 5)²

d= √(1)² +(-1)²

d= √2

d= 1.414213562, round to the nearest tenth

d≈ 1.4

Answer:

No, it is not a linear function, rather a rational function

Step-by-step explanation:

Because the term on the left-hand side contains both x and y, then neither variable varies directly with the other, hence, it's a rational function:

2yx=4

yx=2

y=2/x

Answer:

1

Step-by-step explanation:

The remainder is what’s left when you divide. The part you cannot divide.

You can divide 75 by 3 = 25, so the remainder is 1.

Answer:

y = 1/3 x + 14/3

Step-by-step explanation:

We can identify the two points shown easily.

They are (-2, 4) and (4, 6).

First, we find the line of the slope of the line that contains those two points.

slope = m = (y2 - y1)/(x2 - x1) = (6 - 4)/[4 - (-2)] = 2/6 = 1/3

Now we use one point and the slope to find the y-intercept.

y = mx + b

Let's use point (4, 6) and the slope, 1/3.

6 = (1/3)(4) + b

18/3 = 4/3 + b

b = 18/3 - 4/3

b = 14/3

The equation is

y = mx + b

y = 1/3 x + 14/3

Answer:

y= -54-2

y= -56 &

x= -54/ -9

x= 6

Step-by-step explanation:

y= -9x-2

-9x= y+2 divide bothe side by -9

x=y+2/-9

y= -9(y+2/ -9) -2 = (y+2)-2

y= -2(y+2)

y= -2y-4

y+2y= -4

3y= -4 divide bothe side by 3

y= -4/3

x=y+2/ -9

x= -4/3+2/-9

x= -2/3× -9

x=18/3

x=6

The height of the pole above the level of the observer's eyes is 31.42 ft

Let the angle of elevation of the top of the pole from a point 47 ft away be α.

Let the angle of elevation of the top of the pole from the point 13 ft away be β.

Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.

If the height of the pole above the level of the observer's eye is h, we have that

tanβ = tan2α = h/13 and tanα = h/47

From trigonometric identities tan2α = 2tanα/(1 - tan²α)

Substituting the values of the variables into the equation, we have

tan2α = 2tanα/(1 - tan²α)

h/13 = 2h/47 ÷ [1 - (h/47)²]

Dividing through by h, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

Cross-multiplying, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

1 - (h/47)² = 2/47 × 13

1 - (h/47)² = 26/47

(h/47)² = 1 - 26/47

(h/47)² = (47 - 26)/47

(h/47)² = 21/47

Taking square-root of both sides, we have

h/47 = √(21/47)

Cross-multiplyng, we have

h = √(21/47) × 47

h = √(21 × 47)

h = √987

h = 31.42 ft

The height of the pole above the level of the observer's eyes is 31.42 ft

Learn more about height of a pole here:

https://brainly.com/question/10375496

Answer:

250

Step-by-step explanation:

You can take the explicit formula and simply substitute the n value with 64:

-2 + 4 * (64 - 1)

-2 + 4 * (63)

-2 + 252

250

Answer:

X equals 8.

Step-by-step explanation:

Firstly, you remove the parentheses

Secondly, you move the terms

Then you collect like terms and add the numbers

Lastly, you divide both sides which gives you 6 x = 48,

so your answer is 8.

Hope this helped.

Answer:

x = 8

Step-by-step explanation:

Calculating purely on the assumption the question is equal to 7(x - 5) = x + 13

7(x - 5) = x + 13

7x - 35 = x + 13 ⇒ expand brackets

7x - 35 + 35 = x + 13 + 35 ⇒ add 35 to both sides

7x = x + 48

7x - x = x + 48 - x ⇒ subtract x from both sides

6x = 48

[tex]\frac{6x}{6} = \frac{48}{6}[/tex] ⇒ divide both sides by 6

x = 8

Hope this helps!

1. The extension of the table to show the month-end balances until full debt settlement is as follows:

Month  Payment  Expenses  Interest   New Balance

0                  $0          $0            $0        $1,000

1              $200         $100       $10        $910 ($1,000 - $200 + $100 +$10)

2             $200         $100      $9.10     $819.10 ($910 - $200 + $100 + $9.10)

3             $200         $100      $8.19     $727.29 ($819.10-$200+$100+$8.19)

4             $200         $100      $7.27    $634.56 ($727.29-$200+$100+$7.27)

5             $200         $100      $6.35    $540.91 ($634.56-$200+$100+$6.35)

6             $200         $100      $5.41     $446.32 ($540.91-$200+$100+$5.41)

7             $200         $100      $4.46    $350.78 ($446.32-$200+$100+$4.46)

8            $200         $100       $3.51    $254.29 ($350.78-$200+$100+$3.51)

9            $200        $100        $2.54   $156.83 ($254.29-$200+$100+$2.54)

10          $200         $100        $1.57    $58.40 ($156.83-$200+$100+$1.57)

11           $200         $100        $0.58   ($41.02) ($58.40-$200+$100+$0.58)

Data and Calculations:

Credit card balance = $1,000

APR = 12%

Monthly APR = 1%

Monthly payments = $200

Monthly charge = $100

Learn more: https://brainly.com/question/24317087

Answer:

16 = y

Step-by-step explanation:

So you have the equation 6=-y+42+-2y

Find the y first

6=-y+42+-2y

add all y's together

6=-3y+42

subtract 42 on both sides

-48 = -13y

16 = y

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

Now do the check:

Plug in 16 where ever it says y in the original equation

6= -(16) + 42 + -2(16)

open the brackets

6= -16+42-32

solve

6=26-32

6 = 6

Hope this helps

Step-by-step explanation:

7 √(1/3) - 2 1/3 √(1/3) +3√147

→7(1/√3) - (7/3)(1/√3) +3√(3×7×7)

→ (7/√3) - (7/3√3) +3×7√3

→ (7/√3) - (7/3√3) + 21√3

On Rationalising the denominators then

→ [ 7√3/(√3×√3)]-[7√3/(3×√3×√3) +21√3

The Rationalising factor of√3 =√3

→ (7√3/3)-[7√3/(3×3)]+21√3

→ (7√3/3)-(7√3/9)+21√3

LCM of 3 and 9 = 9

→ [(3×7√3)-(7√3)+(9×21√3)]/9

→ (21√3-7√3+189√3)/9

→[(21-7+189)√3]/9

→ [(210-7)√3]/9

→ 203√3/9 Ans.

Hope this helps.

Answer:

3(x+1)

Step-by-step explanation:

Answer:

D) (6, -4)

Step-by-step explanation:

pt C has coordinates of (6,4)

if you reflect that point across the x-axis the x-value remains the same and the y-value continues to be 4 units from the x-axis, but below it instead of above it

Answer:

A' = (8,-6)

B' = (9,11)

C' = (-3,-7)

Step-by-step explanation:

When reflecting a point over the y axis, multiply the point's x coordinate by -1. Do this for each point and you have your answer.

Answer: 12 x 8

Step-by-step explanation: The other three are not the basic multiplication facts from 0 - 12.

The given function for the height of the Ferris wheel is a sinusoidal equation.

Reasons:

The function that gives the height of the Ferris wheel is presented as follows;

[tex]\displaystyle y = 30.48 \cdot cos \frac{2\cdot \pi }{4.25} \cdot \left(x - 2 \right) + 34.27[/tex]

Where;

x = The number of minutes since the ride began

y = The height in feet of Emily

a) Required:

The radius of the Ferris wheel

Solution:

Comparing the given equation with the general equation of a Ferris wheel, we have;

[tex]\displaystyle f(t) = \mathbf{A \cdot trig\left(B \cdot \left(t + C\right) \right) + D}[/tex]

The amplitude of the Ferris wheel = A = 30.48

The amplitude, A = The largest distance from the center = The radius, r

A = r

Therefore;

The radius of the Ferris wheel, r = A = 30.48 feet

b) The time it takes the Emily to make one rotation is given by the period, T, of the motion of the Ferris wheel as follows;

[tex]\displaystyle T = \mathbf{\frac{2 \cdot \pi}{B}}[/tex]

By comparison, we have;

[tex]\displaystyle B = \frac{2 \cdot \pi}{4.25}[/tex]

Therefore;

[tex]\displaystyle The \ period, \, T = \frac{2 \cdot \pi}{\left(\frac{2 \cdot \pi}{4.25} \right)} = 4.25[/tex]

The time it takes Emily to make one rotation, T = 4.25 minutes

Learn more here:

https://brainly.com/question/21165143

Answer:

A child psychologist is interested in the number of times a newborn baby’s crying wakes its mother after midnight. For a random sample of 50 mothers, the following information was obtained. Let X = the number of times per week a newborn baby’s crying wakes its mother after midnight. For this example, x = 0, 1, 2, 3, 4, 5.

P(x) = probability that X takes on a value x.

x P(x)0 P(x = 0) = 250

1 P(x = 1) = 1150

2 P(x = 2) = 2350

3 P(x = 3) = 950

4 P(x = 4) = 450

5 P(x = 5) = 150

Step-by-step explanation:

pa follow po pls.