Which expression is equivalent to this: "3 multiplied by z"?

Answer:

32 kilometers

Step-by-step explanation:

65 - 33 = 32 kilometers

Hope this helps

Answer:

b = 56km is the answer.

Step-by-step explanation:

a (Northbound train) = 33km

b (Eastbound train) = ?

c (Distance between them) = 65km

According to the Pythagorean theorem,

a² + b² = c²

33² + b² = 65²

1089 + b² = 4225

b² = 4225 - 1089

b² = 3136

b = 56km

∴ the eastbound train has travelled 56km.

Answer:

C

Step-by-step explanation:

Hope this helps! Good Luck!

a

explanation

1/5280 = 5/x

the 1 and 5 represent the miles

5280 and x represent the total ft

Answer:

the answer is A. 6 red

Step-by-step explanation:

3*3=9 3*2=6

Answer:

2674

Step-by-step explanation:

267.4 divided by 1/10 is the same as 267.4/.10 which you can use a calculator and solve that easly.

Or you can do 267.4/1 times 10/1 because when you are dividing, you flip the second number and mutply instead of divide. And when doing that, the answer is the same.

Answer:

225 boards

Step-by-step explanation:

99 ft/0.44 ft = 225 ft

Answer:

(a+2)

Step-by-step explanation:

a²+7a+10 = (a + 5) (a + 2)

a  +  5

    X  5a + ?a = 7a => 5a + 2a = 7a, 5 × ? = 10 => 5 × 2 = 10

a  +  2    

______

(a + 5) (a + 2)

Answer:

a

Step-by-step explanation:

This question is not complete, the complete question is;

When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. If the global response center is called, there is a 4.8 percent chance that the flight will be diverted for an immediate landing. Suppose the response center is called 8,465 times in a given year.

a) What is the expected number of diversions

b) What is the probability of at least 400 diversions

c) What is the probability of fewer than 450 diversions?

Answer:

a) expected number of diversions μ is 406.32

b) the probability of at least 400 diversions is 0.6368

c) the probability of fewer than 450 diversions is 0.9861

Step-by-step explanation:

Given the data in the question;

n = 8465

π = 4.8% = 0.048

so expected number of diversions μ = nπ = 8465 × 0.048 = 406.32

and

σ = √(π(1 - π ) = √(8465 × 0.048(1 - 0.048 ) = √( 406.32 × 0.952 )

σ = √386.81664

σ = 19.6677

b) the probability of at least 400 diversions

P(at least 400 diversion ) = P( X ≥ 400 )

= P( X ≥ 399.5 )

so

z = (X - μ) / σ

we substitute

z = (399.5 - 406.32 ) / 19.6677

z = -6.82 / 19.6677

z = -0.35

so

P(Z > -0.35 ) = 0.500 + p( -0.35 ≤ z ≤ 0 )

= 0.5000 + p( 0 ≤ z ≤ 0.35 )

= 0.5000 + 0.1368

= 0.6368

Therefore, the probability of at least 400 diversions is 0.6368

c)  the probability of fewer than 450 diversions

P(fewer than 450 diversion ) = P( X ≤ 450 )

= P( X ≤ 449.5 )

so

z = (X - μ) / σ

we substitute

z = (449.5 - 406.32 ) / 19.6677

z = 43.18 / 19.6677

z = 2.20

so

P(Z ≤ 2.20 ) = 0.500 + p( 0 ≤ z ≤ 2.20 )

= 0.5000 + 0.4861

= 0.9861

Therefore, the probability of fewer than 450 diversions is 0.9861

Answer:

Step-by-step explanation:

x - y = 33

x/y = 5/2      Multiply both sides by y

y*x/y =5y/2

x = 5y/2       Multiply both sides by 2

2x = 5y        Multiply the top equation by 2. Bring 5y to the left

2x - 2y = 66

====================

2x - 5y = 0

2x - 2y = 66 Subtract

-3y = - 66      Divide by - 3

y = 22

x - y = 33

x - 22 = 33    Add 22 to both sides

x = 22 + 33

x = 55

Answer:

x° = 99°

Step-by-step explanation:

Sum of angles on a straight line is 180°.

Sum of angles in a triangle is 180°. Let u be the value of the unknown angle in the triangle.

u° = 180° - 57° - 42°

u° = 81°

Sum of angles on a straight line is 180°.

x° = 180° - 81°

x° = 99°

Answer:

13 + 3x = 34

Variables:

x = random number

Answer:

2983839i8

468393749493948

Hsjejrhrjjh4u4i84748394

Je83847483

373783838383884

373838383

Jkffffffffffffffffffffffffffffdddfddfffffffddddddddddddddddddfffffffffffffffffffffffffff

Answer:

x² + 7x + 12

Step-by-step explanation:

1. (x +3)(x+4)      - Distribute

2. x² + 4x +3x + 12   - Add like terms

3. x² +7x + 12

Answer:

soma tudo se n for multiplica

Answer:

2 pizzas to feed 8 children

Step-by-step explanation:

3/12 simplified is 1/4

this means that with one pizza you can feed four children.

Answer:

1

Step-by-step explanation:

4/5 is closer to 1

Answer:

105

Step-by-step explanation:

42 * 2 = 84

360 - ( 84+171 ) = 105

Answer:

arc RS = 105°

Step-by-step explanation:

arc RT = 2(42°) = 84°

arc RS = 360° - 84° - 171° = 105°

Answer:

y = -2x + 4

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,4) and (2,0) into it. Then, solve:

[tex]m = \frac{(0)-(4)}{(2)-(0)} \\m =\frac{0-4}{2-0} \\m = \frac{-4}{2} \\m = -2[/tex]

So, the slope is -2.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that the line intersects (0,4), and that point has an x-value of 0. Thus, it must be the y-intercept.  

3) With the found information, write the equation of the line in slope-intercept form, represented by the equation [tex]y = mx + b[/tex]. The [tex]m[/tex] , or the coefficient of the x-term, represents the slope. So, substitute -2 in its place. The [tex]b[/tex] represents the y-intercept of the line, so substitute 4 in its place. This gives the following answer:

[tex]y = -2x + 4[/tex]

Answer:

C. Many ang sagot............

Answer:

A is 14 and P is 17

Step-by-step explanation:

working is above mentioned

Answer:

C

Step-by-step explanation:

if it has a base area that means 500/4 = 125 so each side is 125 on the base.

The formula for the volume of a triangular pyramid is 1/3lwh.

if L=125 and w=125 and H= 30

we multiply 125·125·30=468750

and 468750/3=156250

so rounding that, our base would be C)15,000

9514 1404 393

Answer:

  5.6 °C

Step-by-step explanation:

Put the number in the formula and do the arithmetic.

  C = 5/9(42 -32) = 5/9(10) = 50/9 = 5 5/9

  42 °F ≈ 5.6 °C

Answer:

The answer is "3.14".

Step-by-step explanation:

The coefficient of pollution level is "b" and "a" intercept

[tex]\to y=a+bx\\\\[/tex]  

We must verify it.

[tex]H_0 :\beta = 0\\\\H_a : \beta \neq 0\\\\[/tex]

[tex]Beta \to b=1.76, SE=0.56 \ Estimate[/tex]

The statistics on tets are now provided

[tex]\to t=\frac{b}{SE}=\frac{1.76}{0.56}=3.14[/tex]

Because statistics will be more than critical [tex](1.984)[/tex] values, we thus reject[tex]H_0[/tex]

Answer:

[tex](a)\ \mu_y = 1125[/tex]

[tex](b)\ \sigma_y = 300[/tex]

Step-by-step explanation:

Given

[tex]\mu_x = 75[/tex] -- Mean of T-shirts

[tex]\sigma_x = 20[/tex] -- Standard deviation of T-shirts

[tex]Rate = \$ 15[/tex]

Solving (a): The mean of the revenue [tex](\mu_y)[/tex]

To solve this, we use:

[tex]\mu_y = Rate * \mu_x\\[/tex]

This gives:

[tex]\mu_y = 15 * 75[/tex]

[tex]\mu_y = 1125[/tex]

Solving (b): The standard deviation of the revenue [tex](\sigma_y)[/tex]

To solve this, we use:

[tex]\sigma_y = \sqrt{Rate^2 * \sigma_2^2}[/tex]

This gives:

[tex]\sigma_y = \sqrt{15^2 * 20^2}[/tex]

[tex]\sigma_y = \sqrt{90000}[/tex]

[tex]\sigma_y = 300[/tex]

Answer:

cot theta = -√3

Step-by-step explanation:

we are given that  cos theta = - √3/2 within the range 180° < theta < 270° and

since cos theta = adj/hyp

adj = - √3

hyp = 2

Get the opposite using the pythagoras theorem

hyp^2 = opp^2 + adj^2

2² = opp² + (-√3)²

4 = opp² + 3

opp² = 4-3

opp² = 1

opp = 1

tan theta = opp/adj

tan theta = - 1/√3

Recall that cot theta = 1/tan theta

cot theta = 1/(-1/√3)

cot theta = -√3

Answer:

(a+3)(a+6)

Step-by-step explanation:

a(a+6)+3(a+6)

(a+3)(a+6)

Answer:

C. 95%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1189 points, standard deviation of 397 points.

Percentage between 395 and 1983 points?

395 = 1189 - 2*397

1983 = 1189 + 2*397

So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.

Complete question is;

State the null and alternative hypotheses for the situation described below for a statistical test. Testing to see if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't. Let group 1 be the group of stores where customers are approached by salespeople and let group 2 be the group of stores where customers are not approached by salespeople

Answer:

Null hypothesis; H0; μ1 = μ2

Alternative hypothesis; Ha; μ1 > μ2

Step-by-step explanation:

Group 1 = the group of stores where customers are approached by salespeople

Group 2 = the group of stores where customers are not approached by salespeople

Now, we want to test to check if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't.

Thus, defining the hypotheses, we have;

Null hypothesis; H0; μ1 = μ2

Alternative hypothesis; Ha; μ1 > μ2

Answer:

C) 1,048,576 clones

Step-by-step explanation:

An army of clone warriors is quadrupling every year.

This means that the amount of clone warriots after t years is given by:

[tex]A(t) = A(0)4^t[/tex]

Started with only one warrior:

This means that [tex]A(0) = 1[/tex], so:

[tex]A(t) = 4^t[/tex]

How many clones will there be in a decade?

A decade is 10 years, so this is A(10).

[tex]A(10) = 4^{10} = 1,048,576[/tex]

The correct answer is given by option C.