Simplify this expression using the distributive property.
2(2z+9)

An employee has a probability of 0.19706 to make between $70,000 and $80,000

Probability is the potential for an event to occur or occur, and it indicates the likelihood that a statement is true. It is a field of mathematics where the probabilities of experiments happening are computed. We can determine everything from the likelihood of getting heads or tails when tossing a coin to the likelihood of making a research error, for instance, using a probability. It's formula is = number of favorable outcomes/total number of outcomes

Let X be the annual salary of employees in a large company.

Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:

[tex]P(70000 < X < 80000)[/tex] = [tex]P(\frac{70000 - 65000}{6000} < z < \frac{80000 - 65000}{6000} )[/tex]

[tex]P(0.833 < z < 2.5)[/tex]

= 0.99379 - 0.79673 (from normal distribution table)

= 0.19706

Hence, the probability that an employee makes between $70,000 and $80,000 is 0.19706

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Answer:

D)  80.5  cm  sq

Step-by-step explanation:

square  10x7  = 70

Triangle (7x3) /2 = 10.5

70+ 10.5 = 80.5

Answer:

y-intercept is (0,5)

Step-by-step explanation:

When a graph passes through (0,a), that's y-intercept. y-intercept is a point on y-plane that a graph passes through.

For Ex. If a graph passes through (0,4) then the y-intercept would be (0,4).

But remember that it must be (0,a) for it to be y-intercept (Because it has to intersect the y-plane)

Answer:

[tex]f(x) = 63000(0.97)^x[/tex]

Step-by-step explanation:

Given

[tex]f(0) = 63000[/tex] ---x = 0, in 2012

[tex]f(5) = 54100[/tex] -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

[tex]f(x) = ab^x[/tex]

Where

[tex]b = rate[/tex]

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

[tex]f(x) = 63000(0.97)^x[/tex]

Set x = 0

[tex]f(0) = 63000(0.97)^0 = 63000*1=63000\\[/tex]

Set x = 5

[tex]f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100[/tex]

This is true because the calculated values of f(0) and f(5) correspond to the given values

For option (d), we have:

[tex]f(x) = 52477(0.97)^x[/tex]

Set x = 0

[tex]f(0) = 52477(0.97)^0 - 52477* 1 = 52477[/tex]

This is false because the calculated value of f(0) does not correspond to the given value

For option (e), we have:

[tex]f(x) = 63000(0.97)^\frac{1}{5x}[/tex]

Set x = 0

[tex]f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =[/tex]undefined

This is false because the f(x) is not undefined at x = 0

For option (f), we have:

[tex]f(x) = 52477(0.97)^{5x[/tex]

Set x = 0

[tex]f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477[/tex]

This is false because the calculated value of f(0) does not correspond to the given value

From the computations above, only (c) [tex]f(x) = 63000(0.97)^x[/tex] is true

Answer:

Step-by-step explanation:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

Answer:

379.94

Step-by-step explanation:

Hope this helps :)

Answer:

3

Step-by-step explanation:

So all of them have a theretical probability of 1/5.  Now to determine the experimental propability.  (1=6/25, 2=2/25, 3=5/25 or 1/5, 4=4/25, 5=8/25)

Three has an experimental propability of 1/5, which is the same as its theretical propability.

Answer:

33.8

Step-by-step explanation:

a²+b²=c²

15²+b²=37²

225+b²=1369

-225     -225

b²=1144

√1144

b=33.8

The distance from the bottom of the ladder to the bottom of the building would be 33.8 foot.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

If you place a 37-foot ladder against the top of a 15-foot building.

Let BC be the distance from the bottom of the ladder to the bottom of the building.

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\15^2+BC^2=37^2\\225 + BC^2=1369\\BC^2 = 1369 - 225\\\\BC^2 = 1144\\\\BC = 33.8[/tex]

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Answer:

x=67º

Step-by-step explanation:

First since the supplementary angle next to 157º is in the triangle, we can find that. 180-157 = 23. Then we can use triangle angle sum theorem to find x. 180-(23+90) = 67º

Answer:

10 x + 5 y

Step-by-step explanation:

Answer:

HURRY

Dr. Khan works for the marketing department of a company that manufactures mechanical toy dogs. Dr. Khan has been asked to assess the effectiveness of a new advertising campaign that is designed to be most persuasive to people with a certain personality profile. She brought four groups of participants to the lab to watch the video advertisements and to measure the likelihood that they would purchase the toy, both before and after watching the ad. The results of Dr. Khan’s study are presented below.

Part A

Explain how each of the following concepts applies to Dr. Khan’s research.

Survey

Dependent variable

Big Five theory of personality

Part B

Explain the limitations of Dr. Khan’s study based on the research method used.

Explain what Dr. Khan’s research hypothesis most likely was.

Part C

Use the graph to answer the following questions.

How did the trait of agreeableness affect how people responded to the new ad campaign?

How did the trait of conscientiousness affect how people responded to the new ad campaign?

Answer:

3 [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

To find the largest number add the value of the range to the smallest number.

- 2 [tex]\frac{3}{8}[/tex] + 6 [tex]\frac{1}{4}[/tex] ( change to improper fractions )

= - [tex]\frac{19}{8}[/tex] + [tex]\frac{25}{4}[/tex]

= - [tex]\frac{19}{8}[/tex] + [tex]\frac{50}{8}[/tex]

= [tex]\frac{31}{8}[/tex]

= 3 [tex]\frac{7}{8}[/tex]

Answer:

Weight of Pears = 3.44 Kgs

Weight of Apple = 5.16 Kgs

Step-by-step explanation:

Given

The total weight of the Pears and the apple is 8.6 Kg

Out of this total weight, the weight of the pears is 2/5

Hence, weight of the Pears is 2/5 * 8.6 = 3.44 Kg

Weight of the Apple is equal to 8.6 -3.44 Kgs = 5.16 Kgs

Weight of Pears = 3.44 Kgs

Weight of Apple = 5.16 Kgs

Step-by-step explanation:

[tex]9 - \frac{x}{5} = 3 \\ 9 - 5 \times \frac{x}{5} = 3 \times 5 \\ 9 - x = 15 \\ - 9 - x = - 9 + 15 \\ - x = 6 \\ - x \div - 1 = 6 \div - 1 \\ x = - 6[/tex]

Answer:

Yeah the answer is -6

Step-by-step explanation:

9-x/ 5= 3

9-x = 15 (5 times three)

-x = 6 (9-6)

x= -6 ( a variable can never Be negative, but we have to give the minus to 6)

I hope this helps!

Answer:

B, between 0.1 and 0.3 because between them is 0.2!

A, 0.45 is greater than 0.3 so it a little below would be just right!

Answer:

The area of the shaded region is 21.45cm².

Answer:

2.5 per Caramel apple , just divide it , I hope that's correct and I'm sorry if it's not.

Answer:

2 dollars

Step-by-step explanation:

Answer:

is the answer of emonis

Answer:

B. HL

Step-by-step explanation:

#CARRYONLEARNING

Answer:

x =-16

Step-by-step explanation:

Given the equation

-3x - 21 = 27

We are to find the next step in solving the equation

Step 1: Add 21 to both sides

-3x - 21 + 21 = 27 + 21

-3x = 48

Step 2: Divide both sides by -3

-3x/3 = 48/3

-x = 16

x = -16

Hence the value of x is -16

Answer:

(50-10) ÷ (3+2)

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

E

1.

a.) The color of Aqueous solution turns light green from blue, due to formation of iron sulphate .

b.) The color of the Aqueous solution turns colorless from blue due to formation of zinc sulphate.

2. Bells used in temples aren't made up of wood because wood isn't sonorous and hence can't produce ringing sound, and hence metals are used in making bells.

3. phosphorous is kept in water because it is highly reactive and reacts vigorously with air if left free in atmosphere .

4.

a.) CuSO4 + Mg =》MgSO4 + Cu

this is a single displacement reaction, where Magnesium being more reactive than Copper, displaces copper from its compound (copper sulphate) to form magnesium sulphate.

b. H2SO4 + Zn =》ZnSO4 + H2

this is a single displacement reaction,

where Zinc being more reactive than

hydrogen, displaces hydrogen from its

compound (sulphuric acid) to form Zinc sulphate.

a.) The color of Aqueous solution turns

The color of Aqueous solution turnslight green from blue, due to formation

The color of Aqueous solution turnslight green from blue, due to formationof iron sulphate.

b.) The color of the Aqueous solution

The color of the Aqueous solutionturns colorless from blue due to

The color of the Aqueous solutionturns colorless from blue due toformation of zinc sulphate.

Bells used in temples aren't made upof wood because wood isn't sonorousand hence can't produce ringing sound,and hence metals are used in makingbells.

phosphorous is kept in water becauseit is highly reactive and reacts vigorouslywith air if left free in atmosphere

a.) CuSO4+ Mg MgS04 +Cu

this is a single displacement reaction,where Magnesium being more reactivethan Copper, displaces copper from itscompound (copper sulphate) to formmagnesium sulphate.

b. H2S04 +Zn =) ZnS04+H2

b. H2S04 +Zn =) ZnS04+H2this is a single displacement reaction,where Zinc being more reactive thanhydrogen, displaces hydrogen from itscompound (sulphuric acid) to form Zincsulphate.

Step-by-step explanation:

I hope it helps

have a great day

#Liliflim

Answer

19 mi

Step-by-step explanation:

Answer:

400m

Step-by-step explanation:

It s be the perimeter.

Length X2 sides + width x 2 sides

125       X2 sides +  75.   X2 sides

        250 + 150

      400m

Answer:b

Step-by-step explanation:

Answer:

A,C,D

Step-by-step explanation:

Answer:

ITS ALL OF THEM

JUST DID IT