Find the value of x so that l//m. State the converse used

Find The Value Of X So That L//m. State The Converse Used

Answers

Answer 1

For the parallel lines (l//m), the value of x is equal to 25 and the converse used is the alternate exterior angle theorem.

What are parallel lines?

Parallel lines simply refers to two (2) lines that always have the same or equal distance apart and never meet.

What is the alternate exterior angle theorem?

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure and magnitude.

By applying the alternate exterior angle theorem to parallel lines (l//m), we have:

4x - 13 = 2x + 37

4x - 2x = 37 + 13

2x = 50

x = 50/2

x = 25

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Related Questions

Cayaln is making baked goods for a charity bake sale. He places a tray of scones, a tray of muffins, and a tray of cookies in the oven. The scones bake for 25 minutes, the muffins bake for 12minutes, and the cookie bake for 10 minutes. When one tray is done, he removes it and replaces it with another tray of the same item.


How many minutes after Cayaln puts the trays in the oven will he first remove the scones, muffins, and cookie at the same time?

Answers

The number of minutes after Cayaln puts the trays in the oven will he first remove the scones, muffins, and cookie at the same time is 300 minutes

What is the number of minutes Cayal removes the scones, muffins, and cookie at the same time?

Scones = 25 minutesMuffins = 12 minutesCookie = 10 minutes

Find the least common multiple of 25, 12 and 10 minutes

25 = 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300

12 = 12, 24, 36, 48, 60, 72, 84, 96, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300

10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300

The least common multiple of of 25, 12 and 10 minutes is 300 minutes.

Therefore, the number of minutes Cayal removes the scones, muffins, and cookie at the same time is 300 minutes

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Grace runs a website that has gotten quite popular. However, its popularity seems to have
peaked, and the site is now getting 7% fewer hits each week. If Grace's site got 38,800 hits
this week, how many weekly hits can she expect it to get 7 weeks from.

Answers

Answer:

  23346

Step-by-step explanation:

You want to know the number of hits on Grace's website 7 weeks from now if she gets 38,800 now and the number decreases 7% per week.

Growth factor

The growth factor per week is ...

  growth factor = 1 + growth rate

The growth rate of hits is -7% per week, so this is ...

  growth factor = 1 -7% = 0.93

Exponential function

The exponential function describing the number of hits can be written ...

  hits = (initial value)(growth factor)^weeks

  hits = 38,800(0.93^weeks)

Then in 7 weeks, the number of hits is expected to be ...

  hits = 38,800(0.93^7) ≈ 23,346

Grace can expect to get about 23,346 hits in 7 weeks.

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An element with a mass of 420 grams decays by 7.5% per minute. To the
nearest minute, how long will it be until there are 210 grams of the element
remaining?

Answers

Answer: x= 9

Step-by-step explanation:

I just checked that its right!

Answer:

The correct answer would be 9

Step-by-step explanation:

Determine the intercepts of the line
x int
y int

Answers

Answer:

Y-int = -45, X-int =-11.25

Step-by-step explanation:

Please read this before moving on :)

An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+b, where m is slope and b is the y-intercept.

We know that equation of a line is y=mx+b. To find the value of the x-intercept of the line we simply need to put the value of the y as 0.

Using the Slope Equation : Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

1 - Finding the Slope

2 points; (0,-40), (-10,0)

0-(-40)/(-10)-0 = 40/-10 = -4

2 - Y-INT

Y=MX+B

Y=MX+(-45)

Y=MX-45

Y-int = -45

3 - X-INT

Y=MX+B

0=(-4)x+-45

45=-4x

X-int =-11.25

She begins at sea level, which is an elevation of 0 feet.
She travels straight down for 41 seconds at a speed of 4.9 feet per second.
She then ascends for 49 seconds at a speed of 3.2 feet per second.

After this 90-second period, how much time, in seconds, will it take for the scientist to travel back to sea level at 3.6 feet per second?

Answers

The scientist will take 23 seconds to get back to the sea level.

Let us calculate the distance covered by the scientist at the given speeds and at the specified times.

She travels down for 41 seconds at speed of 4.9 feet per second.

Distance travelled = 41 × 4.9 = 200.9 feet

Elevation = -200.9 feet

She then goes up for 49 seconds at speed of 3.2 feet per second.

Distance travelled = 49 × 3.2 = 156.8 feet

Elevation = -222.9 + 156.8 = -44.1

So she is at a depth of 44.1 feet below the sea level.

Time taken = 44.1 / 3.6 = 12.25 seconds

Therefore it will take her about 12.25 seconds to go back to the sea level.

The average surface level of one or more of the Earth's coastal bodies of water is known as mean sea level (MSL), which can be used to calculate heights like elevation.

There are several terminologies that describe the ebb and flow of the relationship between sea level and dry land.

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you are about to roll 2 fair six-sided dice, hoping to get a double. (a double is when both dice show the same value on top). which double will occur the least often?

Answers

you are about to roll 2 fair six-sided dice, hoping to get a double. (a double is when both dice show the same value on top). Each double will occur once with the probability of 1/36

The sample space for the event of  rolling 2 fair six-sided  dice is  :

S={ (1, 1),(1, 2),(1,3),(1,4),(1,5),(1,6),(2,1)........., (6,5),(6,6) } , So in total for the outcome, we get a total of 36 pairs, with the probability of getting an event as 1/36, now the situation given to us is the vent of getting a double.So the event space for getting a double while  rolling 2  dice  is E = { (1, 1),(2, 2),(3,3),(4,4),(5,5),(6,6) } , the outcome will be 6 pairs, so the probability for each double pair to  come out when we roll the  2 dice is:  1/36  and the probability of getting the least double from  the 6 pairs of double is: 1/6

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1. prior to cellular radio, mobile radio and telephone services required: a. a high-power transmitter/receiver b. multiple transmitters/receivers c. only one or two dedicated channels d. that many channels be used, which exceed the frequency capacity

Answers

Prior to cellular radio, mobile radio and telephone services required

a. high-power transmitter/receiver.

A radio transmitter, also known as a transmitter, is an electronic device that generates radio waves using an antenna in electronics and telecommunications. The transmitter generates alternating current with a radio frequency that is applied to the antenna. The antenna emits radio waves when it is excited by this alternating current.

Typically, the term transmitter refers to equipment that generates radio waves for communication or radiolocation, such as radar and navigational transmitters. Even though they frequently use similar circuits, radio wave generators for heating or industrial purposes, such as microwave ovens or diathermy equipment, are not typically referred to as transmitters.

Transmitters are required components of all radio-communication devices, including radio and television broadcasting stations, cell phones, walkie-talkies, wireless computer networks, and Bluetooth-enabled devices.

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Sarah needed to get her computer fixed. she took it to the repair store. the technician at the store worked on the computer for 5.25 hours and charged her $133 for parts. the total was $579.25. which equation could be used to determine cc, the cost of labor per hour?

Answers

The equation could be used to determine cc is 5.25x + 133 = 579.25 and cost of labor per hour is $85.

Given:

The technician at the store worked on the computer for 5.25 hours and charged her $133 for parts.

Total charged = 579.25

Let x be the charge per hour.

so the equation = 5.25x + 133 = 579.25.

Technician charge  = 579.25 - 133 = 446.25

5.25 hours = 446.25

divide by 5.25 on both sides

5.25 hours / 5.25 = 446.25/5.25

1 hour = $85

Therefore The equation could be used to determine cc is 5.25x + 133 = 579.25 and cost of labor per hour is $85.

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a croissant shop has plain croissants, cherry croissants, chocolate croissants, almond croissants, apple croissants, and broccoli croissants. how many ways are there to choose ) two dozen croissants with at least two of each kind?

Answers

There are 6188 ways are there to choose two dozen croissants with at least two of each kind.

A combination is the combination of two or more distinct things. Although it is not necessary to combine things in pairs, the term "combining" comes from the Latin word for "joining together two by two."Combination repetition is permitted.

There are six different varieties of croissants (n = 6), and we must select two dozen croissants (r = 12) with at least two of each type.

In combination, The order does not matter and repetition is allowed.

thus, according to combination,

[tex]C( n+ r - 1,r) = \frac{(n + r - 1 )!}{r! (n-1)!} \\\\C( 6+ 12 - 1,12) = \frac{(6 + 12 - 1 )!}{12! (6-1)!} \\\\ = \frac{17!}{12!5!} \\= 6188[/tex]


thus, there are 6188 ways possible to choose two dozen croissants with at least two of each kind.

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The graph represents a one-to-one function because every x-value is paired with only one y-value.
The graph represents a one-to-one function because it is defined for all x-values.
The graph does not represent a one-to-one function because it does not pass through the origin.
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

Answers

The correct statement regarding whether the graph is a one-to-one function is:

The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

What is an one-to-one function?

An one-to-one function is a function in which each output is related to only one input, that is, there are no horizontally aligned points.

These horizontally aligned points happen when an horizontal line is traced on the graph of the function, and crosses the function more than once.

From the graph of the function given by the image at the end of the answer, it can be seen that this line would cross the function twice for values of y between 0 and 2, hence the correct option is:

The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

Missing Information

The problem asks for the correct statement regarding the function given on the image at the end of the answer.

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multiply
(−5 2/5) ⋅ 3 7/10.
a. −19 49/50
b. −15 7/25
c. −9 1/10
d. −1 7/10

Answers

Answer: -19 49/50 ==> a

Step-by-step explanation:

(−5 2/5) ⋅ 3 7/10=

(−5 - 2/5) ⋅ (3 + 7/10)=

(−25/5 - 2/5) ⋅ (30/10 + 7/10)= ==> make the terms have like denominators

((-25-2)/5) ⋅ ((30+7)/10)=

-27/5 ⋅ 37/10 =

-27 ⋅ 37 / (5 ⋅ 10) =

-999/50=

(-950-49)/50=

-950/50 - 49/50=

-19 - 49/50=-19 49/50 ==> a

A) -19 49/50 bbbbbb b urxicitxotcoycoyfotxtoxotx

[tex]\sqrt{|x|^2} =x[/tex]
Answer?

Answers

The solution to the equation given as √|x|² = x is x ≥ 0

How to solve the equation?

From the question, the representation of the equation is given as

√|x|² = x

To start with;

We evaluate the square root expression in the equation

So, we have the following representation

|x| = x

The above implies that the absolute value of a number equals the number

As a general rule of absolute values, the absolute value of a number is positive

This can be represented as

x ≥ 0

Hence, the solution to the equation is x ≥ 0

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Trigonometry find the length of AC
Give your answer to the nearest decimal

Answers

The length AC of the triangle will be 10.6 units

What are trigonometric functions?

The trigonometric functions (also called circular functions, angle functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given is a right angled ΔABC as shown in the figure.

We have the image as shown in the figure. In the right angled triangle -

Sin(62°) = CA/CB

Sin(62°) = CA/12

CA = 12 x Sin(62°)

CA = 12 x 0.88

CA = 10.6

Therefore, the length AC of the triangle will be 10.6 units

Therefore, by following the steps above, we can plot the graph of →

y = 5 cos(2x + π/3) - 1

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[Refer to image attached for full question]

Find the values of x and y that satisfy the equation.

22 + 1/5yi = 2x - 2

Answers

Answer:

[tex]x=12, y=0[/tex]

Step-by-step explanation:

[tex]22+\frac{1}{5}yi=2x-2 \\ \\ (24-2x)+\frac{1}{5}yi[/tex]=0[/tex]

Setting the real and imaginary parts of the left hand side equal to 0,

[tex]24-2x=0 \implies x=12 \\ \\ \frac{1}{5}y=0 \implies y=0[/tex]

The sum of three consecutive even numbers is 558. What is the 1st number?

Answers

The sum of three consecutive even numbers is 558, The first number is 184.

The Sum of three consecutive even numbers is 558

We have to find the first number

Let the three consecutive even numbers be:

First number = x

Second number = x + 2

Third number = x + 4

Since their sum is 558

Therefore,

x + x + 2 + x + 4 = 558

3x + 6 = 558

3x = 558 - 6

3x = 552

Divide both sides by 3

Then the first number is 184.

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please help what is the answer and how do you do it

Answers

4,4 jdkdkdnenkwkwbejoejejeiwowow

will mark brainliest
Find the x-intercept and the y-intercept of the graph of the equation.
4x + 5y = 20
The x-intercept is
The y-intercept is
(Type an integer.)
(Type an integer.)

Answers

The x-intercept and y-intercept of the graph is (5,0) and (0,4)

How to find the intercept ?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

1. To find the x-intercept we put y=0

The equation becomes

4x + 5(0) = 20

4x = 20

 x =  [tex]\frac{20}{4}[/tex]

 x = 5

∴ The x-intercept is (5,0)

2. To find the y-intercept we put x=0

The equation becomes

4(0) + 5y = 20

5y = 20

 y =  [tex]\frac{20}{5}[/tex]

 y =  4

∴ The y-intercept is (0,4)

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can someone please solve (iii)

Answers

The point on a line that is at an equal distance from either end.

Hence, the equation of the line [tex]Q[/tex]  to the midpoint of [tex]AP[/tex] is [tex](AP,Q)=(\frac{3}{4},\frac{13}{4})[/tex].

What is midpoint ?

The point on a line that is at an equal distance from either end.

Here, the coordinates of [tex]A(1,-1),P(3,7),Q(\frac{-1}{2},\frac{7}{2})[/tex]

The general formula of the midpoint is

[tex](x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+t_2}{2})[/tex]

The equation of [tex]AP[/tex] is

[tex]AP=(\frac{1+3}{2},\frac{7-1}{2})\\AP=(\frac{4}{2},\frac{6}{2})\\AP=(2,3)\\[/tex]

The equation of the line [tex]Q[/tex]  to the midpoint of [tex]AP[/tex] is

where [tex]AP(2,3),Q(\frac{-1}{2},\frac{7}{2})[/tex].

[tex](AP,Q)=(\frac{2+\frac{-1}{2}}{2},\frac{3+\frac{7}{2}}{2})\\(AP,Q)=(\frac{\frac{4-1}{2}}{2},\frac{\frac{6+7}{2}}{2})\\(AP,Q)=(\frac{\frac{3}{2}}{2},\frac{\frac{13}{2}}{2})\\\\(AP,Q)=(\frac{3}{4},\frac{13}{4})\\[/tex]

Hence, the equation of the line [tex]Q[/tex]  to the midpoint of [tex]AP[/tex] is [tex](AP,Q)=(\frac{3}{4},\frac{13}{4})[/tex].

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DIMENSIONAL ANALYSIS (MATH) GIVING BRAINILIEST!
Q1: What is the speed of a horsefly in feet per second? Round to the nearest hundredth.
Q2: How many times does a dragonfly's wing beat per minute?
Q3: About how many times can a bumble bee travel in one minute?

Answers

Answer:

Q1 = 6.45f/s

Q2 = 0.633 times

Q3 = 0.107 miles

Step-by-step explanation:

Q1: Since

4.4 miles = 1 hour

and

1 mile = 5,280 feet

1 hour = 3600 seconds

Then 4.4 miles

= 5,280 feet × 4.4

= 23,232 feet / 3600 seconds

= 6.453f/s

= 6.45f/s

Q2: Wing beat per minute

= 38 ÷ 60

= 0.633 times

Q3: Miles per minute

Since 6.4 miles = 1 hour,

6.4 miles = 1 × 60

6.4 miles = 60 minutes

x miles = 1 minute

= 6.4/60

= 0.107 miles

Help!! In two or more sentences , explain how to find the time it takes for a rocket following the path h(x)= -4x^2 + 16x to hit the ground

Answers

The time it takes for a rocket following the path h(x)= -4x² + 16x to hit the ground is 4 seconds.

How to find the time for a rocket to hit the ground?

The given path equation is a function of x which is a time variable here. When the rocket hits ground, height of the rocket gets zero.

Hence equating the equation of height to zero and solving for x will give the time required for the rocket to hit the ground.

According to the given question:

We are given equation for height as

h(x) = -4x² + 16x

where x is the time in seconds

When object hits the ground the height becomes 0

So, we can set h(x) = 0 and then we can solve for x

-4x² + 16x = 0

Dividing by -4x from both sides

x - 4 = 0

x = 4 sec

So, the time it takes for a rocket  to hit the ground is 4 seconds.

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The distance (D) that a spring is stretched by a hanging object varies directly as the
weight (W) of the object. If a 6-kg object stretches a spring 29 cm, how far will a 25- kg weight stretch the spring?

Pls help asap! Tysm if u do!

Answers

The 25 Kg weight will stretch the spring 120.84 cm .

In the question ,

it is given that

the distance(D) that spring  stretches by hanging objects vary directly to the weight(W) of the object .

which means

D ∝ W

to remove the proportionality sign , we write the constant k

So, D = k × W  ,

where k is the constant of proportionality

given that 6 Kg weight stretches the spring 29 cm

So,

29 = k * 6

k = 29/6

to find the stretch for 25 Kg weight

D = (29/6)*25

D = 120.84 cm

Therefore ,The 25 Kg weight will stretch the spring 120.84 cm .

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A couple buys a $290000 home, making a down payment of 15%. The couple finances the purchase with a 15
year mortgage at an annual rate of 3.4%. Find the monthly payment.
per month.
If the couple decides to increase their monthly payment to $1950, find the number of payments.
payments (give 2 decimal places)
which we would round up to
total payments.

Answers

The monthly payment for the first condition is $1750.11 and the total number of payments is 156.

What is the monthly payment?

Monthly payment is defined as the amount paid every month depending on the terms of the mortgage loan. This includes the principal, which is the actual balance on the loan, and the interest on the loan.

The formula for monthly payments on the mortgage is given:

                                [tex]MP = \frac{P(\frac{r}{n}) }{1- (1+\frac{r}{n})^{-nt} }[/tex]

where, MP = monthly payment

            P = principal amount

             r = rate of interest

             n = number of payments per year

              t = number of years

Given, a couple buys a house for $290000 and makes a down payment of 15%

Down payment = 0.15*290000 = $ 43500

First condition,

Present value of loan (P) = $290000 - $43500 = $246500

rate of interest (r) = 3.4% = 0.034

number of payments per year (n) = 12

number of years (t) = 15 years

Then, the monthly payment is calculated by:

             [tex]MP = \frac{246500(\frac{0.034}{12}) }{1- (1+\frac{0.034}{12})^{-12*15} } = 1750.11[/tex]

Therefore, monthly payment = $1750.11

Second condition,

monthly payment (MP) = $1950

Present value of loan (P) = $290000 - $43500 = $246500

rate of interest (r) = 3.4% = 0.034

number of payments per year (n) = 12

time in years (t) = x years

Then,

or,  [tex]1950 = \frac{246500(\frac{0.034}{12}) }{1- (1+\frac{0.034}{12})^{-12*x} }[/tex]

or, [tex]x = 13.06 = 13[/tex]

So, the total number of payments =  13*12 = 156

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Kaitlyn bakes two rectangular cakes to put on top of each other. Each cake is 6 inches wide, 12 inches long and 3 inches high. She removes the cake from the pan to frost it. How many square inches of frosting does she need for both cakes?

Answers

ANSWER: 216 inches

WORK:
6x3x12=216

What is the slope of a line parallel to the line whose equation is 3x+4y=36

Answers

Answer:

3/4

Step-by-step explanation:

Get into y=mx+b

Subtract 3x

4y=3x+36

Divide by 4

y=3/4x+9

Parallel= 3/4

Perpendicular= -4/3

A carton of milk holds 10 cups. a recipe for strawberry milkshake requires 3/4 of a cup of milk. how many recipes could you make with the carton of milk.

Answers

To figure this out, you need to divide the amount of milk in the carton, and the amount of milk in the recipe for the milkshake. In this example, we would be dividing 10 by 3/4ths which is 13.3333(repeating). So we could make this recipe 13 times.

pls help me with this

Answers

Answer:

31-6/1-1

=25/0

=undefined

6. Find the distance between each pair of points. Then order each line segment from longest to shortest.
a. A(−6, 1), B(−1, 6)
c. E(2,7), F(4, -2)
e. J(−4, −2), K(1, −5)
b
C(-5, 8), D(5,8)
d. G(7,3), H(7,−1)
f. L(3, -8), M(7, −5)

Answers

Using the distance formula, the order of each line segment from longest to shortest is b→c→a→e→f→d.

What is the distance Formula?The formula for the distance(d) , between two points whose coordinates are (x₁ ,y₁) and (x₂, y₂) is:

Distance Formula: d = √[(x₂ - x₁)² - (y₂ - y₁)²]

Now, calculate the distance using the distance formula as follows:

(A) The distance between A and B is:

d = √(-1-(-6))²+(1-6)²)d = √5² + 5²d = √50

(B) The distance between C and D is:

d = √[(5 -(-5))²+ (8-(8))²]d = √10² + 0d  = 10

(C) The distance between E and F is:

d = √[(4-2)²+ ((-2)-7)²]d = √2² + 9²d = √85

(D) The distance between G and H is 2.

(E) The distance between J and K is:

d = √ [(1-(-4))² + (-5-(-2))²]d = √5² + 3²d = √34

(F) The distance between L and M is:

d = √[(7-3)²= (-5-(-8))²]d = √4² +  3²d  = 5

Hence, the distance using the distance formula is:

(A) The distance between A and B is √50.(B) The distance between C and D is 10.(C) The distance between E and F is √85.(D) The distance between G and H is 2.(E) The distance between J and K is √34.(F) The distance between L and M is 5.

Therefore, using the distance formula, the order of each line segment from longest to shortest is b→c→a→e→f→d.

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the per capita consumption of meat by people in the united states in a recent year was normally distributed with a mean of 218.4 pounds and standard deviation of 42 pounds. a random selection of 30 people was taken. what is the probability that the sample mean is less than 200 pounds? (notice i used the words sample mean!)

Answers

The probability that the sample mean is less than 200 pounds is 33% or 0.33

Given that,

The average annual meat consumption in the United States was 218.4 pounds, with a standard deviation of 42 pounds, and was normally distributed. A random sample of 30 individuals was chosen.

Mean  (μ) = 218.4

Standard deviation (σ) =42        

Probability = P(X< 200) = P[(X-μ ) / σ < (200-218.4) /42 ]

= P(z <-0.44 )

Using z table                                            

=0.3300

Probability=0.3300                                                        

Therefore, 33% or 0.33 of the time, the sample mean will weigh less than 200 pounds.

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Dad fills the car's gas tank when it is about 1/2 empty. Later, he fills the tank when it is about 3/4 empty. He bought a total of 18 1/2 gallons of gas on those two days. How many gallons does the tank hold?

Answers

Dad's car's gas tank holds 14.8 gallons of the gas.

Define the term mixed fraction?

A mixed fraction is one generated by integrating a whole number as well as a fraction.

When the car's gas tank is nearly half full, Dad fills it up. Later, when the tank is about 3/4 full, he fills it. Total gas purchased = 18 1/2 gallons of gas.

Changed the mixed fraction in decimal.

Total gas purchased = 37/2 = 18.5 gallons of gas.

Let x be the gallons of gas tank contains.

Then,

(1/2)x + (3/4)x = 18.5

Multiply both sides by 4,

2x + 3x = 74

5x = 74

x = 14.8 gallons

Thus, Dad's car's gas tank holds  14.8 gallons of the gas.

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4 1/3 times 6

NEEDED ASAP

Answers

Answer:

26

Step-by-step explanation:

4⅓×6

=13/3 × 6

=26

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