Arsenic is an element that occurs naturally in groundwater, but a mean greater than 8.0 parts per billion indicates that the groundwater has been contaminated. Local officials are concerned about a well in an area of the city near a factory. On 50 consecutive days, water was randomly sampled from the well. Assume the water in the well has a mean arsenic level greater than 8.0 ppb. Based on the data, if we find moderate/strong evidence against the null hypothesis and conclude the mean arsenic level of the water is greater than 8.0 ppb, we have made ____________.

Answer:

Step-by-step explanation:

Done

Answer:

24 kg

Step-by-step explanation:

21 kg every 7 hr

21kg/7hr = 3kg/hr

This means he prepares 3 kg of dough every hour.

After working 8 hours, he would have prepared (3kg)(8) = 24kg of dough

Answer:

How long should it take to finish a 25-question test? If you give students an average of 30 seconds to one minute to answer the questions, then the average time to finish a test of this size would be around 15-30 minutes. Of course, some questions would take more time and some less.

Step-by-step explanation:

The graph of linear function k passes through the points (-3, 0) and (1, 8) for this the true statement is given by the x-intercept of the graph of k is - 3.

As given,

Graph of the linear function k passes through the points :

(x₁ , y₁)=(-3, 0)

(x₂, y₂)=(1, 8)

Equation is given by :

(y-0)/(x+3)=(8-0)/(1+3)

⇒y=2(x+3)

⇒y=2x+6

Slope=2

X-intercept by putting y=0

x=-3

Therefore,  graph of linear function k passes through the points (-3, 0) and (1, 8) for this the true statement is given by the x-intercept of the graph of

k is - 3.

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Answer:

8/21

Step-by-step explanation:

-1/3 + 5/7=1×7 =-7/21 +15/21

- × -

3. 7

-7/21 + 15/21= -7+15 = 8/21

-----

21

If it takes 1 pizza to feed 3 people and you invite 36 people, you can divide 36 by 3 to get the answer -

36/3 = 12

You will need 12 pizzas.

Answer:

from your DVR to record the points you like

Step-by-step explanation:

because I only want the points

khan acdemy vdieo on Compound inequalities:

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:compound-inequalities/v/compund-inequalities

Answer:

Step-by-step explanation:

Step 1:

Sum of fractions in the denominator making cross product:

d / r1 + d / r2

Resulting:

d * r2 + d * r1 / (r1 * r2)

Step 2:

Multiply numerator and denominator by the following expression:

(r1 * r2) / (d * r2 + d * r1)

Step 3:

Take common factor in the denominator of the expression in step 2.

Resulting:

(d * r2 + d * r1) = d * (r2 + r1)

help me to answer the question

Using concepts of quadratic equation, we have that:

a) The age of unmarried women with the highest birth rate 29 years.

b) The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

c) B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

The birth-rate for women of age a is given by:

[tex]B(a) = -0.33a^2 + 19.17a - 213.37[/tex]

Which is a quadratic equation with coefficients [tex]a = -0.33, b = 19.17, c = -213.37[/tex]

Item a:

The age with the highest value is the a-value for the vertex, which is:

[tex]a_V = -\frac{b}{2a} = -\frac{19.17}{2(-0.33)} = 29[/tex]

The age of unmarried women with the highest birth rate 29 years.

Item b:

The rate is B(29), which is:

[tex]B(29) = -0.33(29)^2 + 19.17(29) - 213.37 = 65[/tex]

The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

Item c:

[tex]B(40) = -0.33(40)^2 + 19.17(40) - 213.37 = 25.43[/tex]

B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

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Answer:

Would x not be 70 degrees as it corresponds to the 70 on the bottom line?

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

setup a ratio using the length and perimeter then reduce it.

[tex] \frac{2}{8} [/tex]

reduces to

[tex] \frac{1}{4} [/tex]

the numerator is length and denominator is perimeter. setup the proportion

[tex] \frac{1}{4} = \frac{12}{p} [/tex]

cross multiply

[tex]1p = 48[/tex]

1 times p = p, so the answer is 48

The average speed of the runner is 12.7 mph and 20.4 km/h

Given that the runner ran 26.2 mile in 2hr and 4 minutes, we start of by converting the time from  hours and minutes into minutes and finally hours, since hours is what we need. So, we have

2hr = 120mins

+ 4 mins = 124 mins

124 mins ÷ 60 hour/mins = 2.06 hours.

This means that the runner finished the race in 2.06 hours.

If we are to find the average speed in mile per hour, we have

Average speed = distance ran ÷ time taken

Average speed = 26.2 ÷ 2.06

Average speed = 12.7 mph

From the speed in mph, we can directly convert it to km/hr by saying

1 mph = 1.609 km/h

12.7 mph = 12.7 * 1.609 = 20.4 km/hr

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The value of 11(d-c)+3(c+d) by using the values c=6 and d=9 is 69.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

Expression: 11(d-c)+3(c+d)

Now, put the values of c= 6 and d= 9 we get

11(d-c)+3(c+d)

= 11 (9- 6) + 3( 9+3)

= 11 (3) + 3 (12)

= 33+ 36

= 69

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9514 1404 393

Answer:

  4a +4

Step-by-step explanation:

The average rate of change of f(x) on the interval is ...

  (f(a) -f(1))/(a -1)

  = ((4a² -6) -(4(1)² -6))/(a -1) = (4a² -4)/(a -1)

  = 4(a² -1)/(a -1) = 4(a +1) = 4a +4

The average rate of change on the interval is 4a +4.

Answer:2

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Since, line a is parallel to line t ( from diagram ).

x - 30 and 70 are alternate interior angles.

Reason : -

Alternate interior angles are equal when two lines are parallel and cut by a transversal line.

x - 30 = 70

x = 70 + 30

x = 100

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Explanation:

Note that 2^4 = 16 is one less than 17.

Because of this nature of being 1 less, we can say the remainder of 16/17 is -1 because it comes up one short.

In terms of modular arithmetic, we can say,

[tex]2^4 \equiv 16 \ (\text{mod } 17)\\\\2^4 \ \equiv -1 (\text{mod } 17)\\\\[/tex]

Then let's raise both sides to the 20th power. I'm picking 20 because 20*4 = 80 which will help build toward 81

[tex]2^4 \equiv -1 \ (\text{mod } 17)\\\\\left(2^4\right)^{20} \equiv (-1)^{20} \ (\text{mod } 17)\\\\2^{20*4} \equiv 1 \ (\text{mod } 17)\\\\2^{80} \equiv 1 \ (\text{mod } 17)\\\\[/tex]

Lastly, we'll multiply both sides by 2 to get to the final answer

[tex]2^{80} \equiv 1 \ (\text{mod } 17)\\\\2*2^{80} \equiv 2*1 \ (\text{mod } 17)\\\\2^{1}*2^{80} \equiv 2 \ (\text{mod } 17)\\\\2^{1+80} \equiv 2 \ (\text{mod } 17)\\\\2^{81} \equiv 2 \ (\text{mod } 17)\\\\[/tex]

So if we were to divide 2^81 over 17, then we get some quotient and a remainder of 2

Answer:

Yes, because momentum is conserved in all inelastic collisions which all car accidents are

Step-by-step explanation:

What is law of conservation of momentum?

It states that In a equilibrium the initial momentum is equal to to the final momentum of the body

Or

[tex]\\ \sf\longmapsto \Delta P=P[/tex]

Answer:

• Yes, because momentum is conserved in all collisions.

Step-by-step explanation:

→ Elastic collision, inelastic collision and perfectly inelastic collision, linear momentum is conserved assuming no external forces acting on the system.

In elastic collision

[tex] \dashrightarrow \: { \tt{m _{1}u _{1} + m _{2} u_{2} = m_{1}v_{1} + m_{2}v_{2}}} \\ [/tex]

In inelastic collision

[tex] \dashrightarrow \: { \tt{m_{1}u_{1} + m_{2}u_{2} = (m_{1} + m_{2})v}}[/tex]

Answer:

Add all the numbers in the data set together, then divide by the number of items in the data set. The result is the median value.

So:

70+61+50+48+45+43+40+39+35+32=x

x÷10=?

Answer:

3rd Option

Step-by-step explanation:

2.7 × 10⁵ > 2.4 × 10⁴ > 3.1 × 10³

Answer:

Y-intercept=(0, 2)

X-intercepts=(-4,0) & (-2,0)

Step-by-step explanation:

X and y- intercepts are determined when they pass through either the x or y axis. If the line passes through the x axis it is the x-intercept and vice versa for y.

Hope this helped.

Answer:

A slope of the line over the interval of [-6, -1] is ⅕ as illustrated in the graph above

Answer:

611800

Step-by-step explanation:

is the answer

i think

Answer:

[tex]20 = (x + 1) \times 10 \times 0.5 \\ = 5 \times (x + 1) \\ x + 1 = 20 \div 5 = 4 \\ x = 4 - 1 = 3 \\ enjoy \: it[/tex]