The product of 4
and b is less than
or equal to 24.

The probability that less than 75% of the sample students have iPhones is approximately 0.2478.

What is probability?

This is a binomial probability problem, where each student either has an iPhone or does not have an iPhone, and the probability of success (having an iPhone) is 0.789.

Let X be the number of students in the sample who have an iPhone. We want to find P(X < 0.75 * 50) = P(X < 37.5)

Using the binomial probability formula, we have:

P(X < 37.5) = Σ P(X = k), for k = 0, 1, 2, ..., 37

However, this is a tedious calculation. Instead, we can use a normal approximation to the binomial distribution, since n * p = 50 * 0.789 = 39.45 > 10 and n * (1 - p) = 50 * 0.211 = 10.55 > 10.

Using the normal approximation, we can standardize the random variable X:

Z = (X - μ) / σ

where μ = n * p = 39.45 and σ = √(n * p * (1 - p)) = √(50 * 0.789 * 0.211) = 2.88.

Then, we have:

P(X < 37.5) = P(Z < (37.5 - 39.45) / 2.88) = P(Z < -0.68)

Using a standard normal table or calculator, we find that P(Z < -0.68) is approximately 0.2478.

Therefore, the probability that less than 75% of the sample students have iPhones is approximately 0.2478.

Binomial probability is a type of probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure. It assumes that the probability of success in each trial is constant, and the trials are independent of each other. The binomial distribution is characterized by two parameters: the number of trials and the probability of success in each trial.

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The statement that expresses the relationship between the two triangles are: ΔZYX  ~ Δ CBA. (Option C)

Two objects are comparable in Euclidean geometry if they have the same form or if one has the same shape as the mirror image of the other.

The triangles are comparable if two pairs of matching angles in a pair of triangles are congruent. We know this because if two angle pairs are equal, then the third pair must be equal as well.

When all three angle pairs are equal, the three side pairs must likewise be proportional.

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Answer:

I need to know what the object is in order to give you the diameter. I mean if your saying that the radius is 2in that the diameter is 4in.

The total volume of 3:12 is 90 gallons  

In math, the term Ratio is used to compare two or more numbers or quantities. It indicates how small or big a quantity is when compared to each other. In a ratio, the comparison between two values is done by using division.  

Here we have    

54 gallons is the volume of 2:7

=> As we know 2+7 = 9

Therefore, for 9 parts = 54 gallons of volume

=> 1 part = 54/9 = 6 gallons of volume

Here we need to find 3: 12

For 3 parts = 3 × 6 gallons of volume = 18 gallons

For 12 parts = 12 × 6 gallons of volume = 72 gallons

=> total volume = 18 gallons + 72 gallons = 90 gallons

Therefore,

The total volume of 3:12 is 90 gallons  

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The y-intercept of the function is (0, c)

The coefficients b determine the horizontal shift of the parabola compared to the parent function

If a is negative, the parabola opens downward

The y-intercept of the function is (0, c).

This means that when x = 0, the y-value is equal to c.

The constant term c represents the y-coordinate of the point where the parabola intersects the y-axis.

The coefficient b determines the horizontal shift of the parabola compared to the parent function.

The value of b affects the position of the vertex and determines if the parabola is shifted to the left or right.

A positive value of b shifts the parabola to the left, while a negative value of b shifts it to the right.

If a is negative, the parabola opens downward.

The coefficient a determines the shape of the parabola.

If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The sign of a determines the direction in which the parabola faces.

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Using the linear function given in this problem, the formula underestimates the median weekly earnings in 2013 by $3, as 657 < 660.

The function that estimates the median weekly earnings n years after 1980 is:

W = 13n + 231.

2013 is 2013-1980 = 33 years after 2000, hence the estimate is given by W when n = 33, that is:

W = 13 x 33 + 231 = 660.

657 < 660, hence the formula underestimates the median weekly earnings in 2013 by $3.

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Answer:

The Answer should be Quadrant III

Step-by-step explanation:

Hope this helped!

Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

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Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

Define measurement?

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Answer:

9( x-3) (x-1)

Step-by-step explanation:

(5x − 6)^2 − (4x − 3)^2

This is the difference of squares   a^2 - b^2 = ( a-b) (a+b)

(5x − 6)^2 − (4x − 3)^2   where a = 5x-6  and b = 4x-3

( 5x-6 - (4x-3))  ( 5x-6 +(4x-3)

Distribute

( 5x-6 -4x+3)  ( 5x-6 +4x-3)

Combine like terms

(x-3) ( 9x-9)

Factor out the 9

9( x-3) (x-1)

Answer:

ben dont know

Step-by-step explanation:

yea

Answer:

x+6

Step-by-step explanation:

2(4x+5)-2=2x+44

(8x+10)-2=2x+44

8x+10-2=2x+44

8x-2x=44-10=2

6x=36

x=6

hope that helps

sorry if its worng

It will take 150 minutes for the two containers to have the same amount of water.

To find the number of minutes it will take for the two containers to have the same amount of water, we need to use the following formula:

m = |A - B| / (a - b)

where m is the number of minutes, A is the initial amount of water in Container A, B is the initial amount of water in Container B, a is the rate at which water is being added to Container A, and b is the rate at which water is being drained from Container B.

In this case, the initial amount of water in Container A is 300 liters, the initial amount of water in Container B is 900 liters, the rate at which water is being added to Container A is 6 liters per minute, and the rate at which water is being drained from Container B is 2 liters per minute. Substituting these values into the formula, we get:

m = |300 - 900| / (6 - 2)

m = |-600| / 4

m = 600 / 4

m = 150 minutes

Therefore, it will take 150 minutes for the two containers to have the same amount of water.

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Notice that

67 = 35 + 32 = 35 + 2•16

and

83 = 35 + 48 = 35 + 3•16

so 67 is +2 standard deviations from the mean, and 83 is +3 standard deviations from the mean.

The 68-95-99.7 rule says that, for any normal distribution,

• approximately 95% of the distribution lies within 2 s.d. of the mean

• approx. 99.7% lies within 3 s.d. of the mean

This is to say,

• P(35 - 2•16 < X < 35 + 2•16) = P(3 < X < 67) ≈ 0.95

• P(35 - 3•16 < X < 35 + 3•16) = P(-13 < X < 83) ≈ 0.997

Subtracting these gives

P(-13 < X < 83) - P(3 < X < 67) ≈ 0.047

This subtraction effectively removes the within-2-s.d. part of the distribution from the within-3-s.d. part. In other words, we're now talking about the part of the distribution between -3 and -2 s.d. from the mean *and* between +2 and +3 s.d. from the mean. So, this equation is the same as

P(-13 < X < 3) + P(67 < X < 83) ≈ 0.047

Normal distributions are symmetric about their means, so the two probabilities here are equal, and in particular

2 P(67 < X < 83) ≈ 0.047

so that

P(67 < X < 83) ≈ 0.0235

After subtracting the given two distances, It can be obtained that the mall is five and a half kilometers further than the grocery store from the house.

If there are three points \(A, B, C\) and the distance between \(A\) and \(B\) is \(d_1\)  and the distance between \(A\) and \(C\) is \(d_2\). Also, \(d_2 > d_1\). Then the distance between \(B\) and \(C\) can be obtained by subtraction \(d=d_2-d_1\).

Given that the distance from the house to the grocery store is five and one-quarter kilometers i.e., \(d_1=5.25\) km and the distance from the house to the mall is ten and three-quarter kilometers i.e., \(d_2=10.75\) km.

So, the distance from the grocery store to the mall is \(d=d_2-d_1=10.75-5.25=5.5\) km.

Therefore, after subtracting the given two distances, we can conclude that the mall is five and a half kilometers further than the grocery store from the house.

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33+19 -11 + 26t X 2 - 2 =52t + 39.

if 1 2 3 = 2

then 3 5 4 = 5

hope it helps:)

Answer:

2(j+4)

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf 2(J+4)}\)

Step-by-step explanation:

The sum of J and 4 = J + 4

Twice the sum of J and 4 = 2(J+4)

\(\rule[225]{225}{2}\)

Hope this helped!

The missing number in the expression (5 x 7) + (n x 4) = 5 x (7+ 4) is 5.

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, An expression (5 × 7) + (n × 4) = 5 × (7 + 4).

Now, If we expand the RHS we have,

5×(7 + 4).

= (5 × 7) + (5 × 4).

Now, Writing the obtained RHS with LHS we have,

(5 × 7) + (n × 4) =  (5 × 7) + (5 × 4).

So, The missing number is 5.

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The point C on the x-axis when A(-8,4), B(-1,3) so that AC + BC is a minimum is (36,0).

A(x₁,y₁) = (-8,4)

B(x₂,y₂) = (-1,3)

C(x, y ) = (x ,0)

equation of a line is given as:

y - y₁ = (y₂ - y₁)/ (x₂ - y₁) (x - x₁)

y - 4  = (3 - 4)/(-1 + 8)(x + 8)

y - 4 = -1/7(x + 8)

7(y - 4) = -1(x + 8)

7y - 28 = -x + 8

x + 7y - 36 = 0

when y = 0 then the value of x is given as:

x + 7y- 36 = 0

x + 7(0) - 36 = 0

x = 36

point C on the x-axis (x , 0) = (36,0)

The point C on the x-axis when A(-8,4), B(-1,3) so that AC + BC is a minimum is (36,0).

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The graph could be the graph of exponential function of option b)

\(F(x) = 2 • (0.5)^{x} \)

The general form of an exponential function is

\(f(x) = {ab}^{x} \)

Here, a is the function's starting value and b is its growth factor.

F(x) is an increasing function if b > 1, and if b<1, then f(x) is a decreasing function

The function's initial value is 2 as can be seen from the provided graph. Therefore, a has a value of 2.

Given that the graph indicates that the function is decreasing, b must be less than 1.

It indicates that the necessary function is in the form of

\(f(x) = 2(b)^{x} \)

Where it is b<1

By checking option B, b=0.5<1. Hence, option B is the correct answer

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Note that the full question is:

(check the attached image)

Okay, here are the steps to find the p-value:

1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)

2) The test statistic for Georgia is 1.75

3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.

4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).

5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)

6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.

7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.

So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.

Let me know if you have any other questions!

Okay, here are the steps to find the p-value:

1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)

2) The test statistic for Georgia is 1.75

3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.

4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).

5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)

6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.

7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.

So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.

Let me know if you have any other questions!

For the  given  quadratic function, the  highest  point  that the object  reaches is  (5, 768).

Since we are given with the quadratic function of h(t)=−16t2+160t+368, where  Let a = -16, b = 160, and c = 368, so the vertex for the equation will be  :t = -b/2a = -(160)/2(-16) = -160/(-32) = 5, so substituting this value  in the equation for the value of t is

h(5) = -16(5)2 + 160(5) + 368 = -400 + 800 + 368 = 768

Here the highest point that the object reaches is (5, 768), which means that  at a time of 5 seconds, the object reaches the building after being launched at the height of  768 feet  

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We are standing on the top of a 368 feet tall building and launching a small object upward. The object's vertical position, measured in feet, after t seconds is

We are standing on the top of a 1200 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is  What is the highest point that the object reaches?

Answer:

Let's call the speed of Bug F v_F and the speed of Bug S v_S. Since both bugs started at 0, we can express their positions at any time t as:

Position of Bug F = 12 + v_F * t

Position of Bug S = 8 + v_S * t

To find out when F and S will be 100 units apart, we need to find the time t at which their positions differ by 100 units. In other words, we need to solve the following equation:

|12 + v_F * t - (8 + v_S * t)| = 100

We can simplify this equation by expanding the absolute value and rearranging the terms:

|4 + (v_F - v_S) * t| = 100

Now we can split this equation into two cases:

Case 1: 4 + (v_F - v_S) * t = 100

In this case, we have:

v_F - v_S > 0 (since Bug F is faster)

t = (100 - 4) / (v_F - v_S)

Case 2: 4 + (v_F - v_S) * t = -100

In this case, we have:

v_F - v_S < 0 (since Bug S is faster)

t = (-100 - 4) / (v_F - v_S)

Since we're only interested in positive values of t, we can discard the second case. Therefore, the time at which F and S will be 100 units apart is:

t = (100 - 4) / (v_F - v_S)

t = 96 / (v_F - v_S)

We don't know the values of v_F and v_S, but we can use the fact that Bug F is at 12 and Bug S is at 8, four seconds after they started. This gives us two equations:

12 = 4v_F + 0v_S

8 = 4v_S + 0v_F

Solving these equations for v_F and v_S, we get:

v_F = 3

v_S = 2

Substituting these values into the equation for t, we get:

t = 96 / (3 - 2)

t = 96

Therefore, F and S will be 100 units apart 96 seconds after they start.

Answer:

TZ = 24

Step-by-step explanation:

Similar Triangles

If two triangles are similar, then:

* All the corresponding side lengths are proportional by the same scale factor

* All the internal angles are congruent.

The image provided in the question has two similar triangles TYZ and TWX. We have completed the shape with a variable p =TZ, whose value will be determined by applying the first similarity condition above.

The ratio between the heights is 20:16, and the proportion between the bases is (6+p):p, thus:

\(\displaystyle \frac{6+p}{p}=\frac{20}{16}=\frac{5}{4}\)

Cross-multiplying denominators:

4(6 + p) = 5p

24 + 4p = 5p

Solving for p:

p = 24

Then, TZ = 24

Answer:

SA = 76 yd²

Step-by-step explanation:

Use the formula given:

The units are yards²

SA = 76yd²

-Chetan K

The surface area of the rectangular prism is 76 square yards

The dimensions of the rectangular prism are given as:

Length (l) = 4 yards

Width (w) = 2 yards

Height (h) = 5 yards

The surface area (SA) is calculated as:

SA =2lw + 2lh + 2wh

So, we have:

SA = 2 * 4 * 2 + 2 * 4 * 5 + 2 * 2 * 5

Evaluate the expression

SA = 76

Hence, the surface area of the rectangular prism is 76 square yards

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I dont think that this question is possible.

\( \huge \boxed{Answer : - }\)

[ Due to complementary relation between sin and cos. ]

The value of x = 21

\( \\ \\ \\ \\ \)

\( \#TeeNForeveR\)

Answer:

50

Step-by-step explanation:

0.8 * x = 40

40/0.8=50

Step-by-step explanation:

She decided to test this by 200 adults, so. Divide 6 by 500 = 0.012 (200)=2.4mins.

Answer: The 200 adults

Step-by-step explanation:

Answer:

49m/s

59.07 m/s

Step-by-step explanation:

Given that :

Distance (s) = 178 m

Acceleration due to gravity (a) = g(downward) = 9.8m/s²

Velocity (V) after 5 seconds ;

The initial velocity (u) = 0

Using the relation :

v = u + at

Where ; t = Time = 5 seconds ; a = 9.8m/s²

v = 0 + 9.8(5)

v = 0 + 49

V = 49 m/s

Hence, velocity after 5 seconds = 49m/s

b) How fast is the ball traveling when it hits the ground?

V² = u² + 2as

Where s = height = 178m

V² = 0 + 2(9.8)(178)

V² = 0 + 3488.8

V² = 3488.8

V = √3488.8

V = 59.07 m/s

Answer: The value of x is 49.

Step-by-step explanation:

To find the value of x, you will first need to cross multiply the fractional variables together.

5x - 80 = 3x + 18

Then, move the numerical term 80 to the right side of this equation and add it to 18.

5x - 80 = 3x + 98

Move 3x to the left side of the equation and subtract it this time to the variable 5x.

2x = 98

Finally, you divide both of the equation's sides by 2 and you will get 49.

x = 49

When you actually add x to this problem, you would get 33/55.

49 - 16/49 +6 = 33/55

You can then simplify 33/55 and get the same answer 3/5.

3/5

Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!

-From 5th Grader Honors Student