Cruz is 5 1/2 inches taller than Shanid. Shanidn is 57 3/4 inches tall. How tall is Cruz?

Answer:

Step-by-step explanation:oop

Answer:

-3 1/4 is also -3.25 so on the number line it is in the middle of -3.5 and -3.

3.8 on the number line wil be about a cm behind 4.

Step-by-step explanation:

the number 3.8 is between 3.5 and 4

the number -3 1/4 is between -3 and -3.5

which number is between -5 and -6 on a number line

is b. -25/6

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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Answer:

The temperature drops 4° every hour

Step-by-step explanation:

Step 1:

24° ÷ 6

Step 2:

24 : 6 = 4 : 1

Answer:

4

Hope This Helps :)

Answer:

\(\boxed {\tt -4 \textdegree \ per \ hour }\)

Step-by-step explanation:

This question asks us to find the average rate of change in temperature per hour.

Therefore, we must divide the temperature change by the hours.

\(rate \ of \ change =\frac{temperature \ change}{hours}\)

The temperature dropped 24 degrees in 6 hours. Since it dropped, the change was negative.

\(temperature \ change = -24 \textdegree \\hours = 6 \ hours\)

Substitute the values into the formula.

\(rate \ of \ change =\frac{-24 \textdegree}{6 \ hours}\)

Divide.

\(rate \ of \ change = - 4 \textdegree / hour\)

The average change in temperature was -4° per hour. The temperature dropped 4 degrees each hour.

Answer:

  499.338 feet

Step-by-step explanation:

You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.

The distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...

  \(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)

The distance traveled in 25 seconds is 499.33 feet.

It is required to find the distance traveled in 25 seconds.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

We have to find the distance , we will integrate v(t) from 0 to 25 second.

Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.

Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is

1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.

According to given question we have

Given a velocity function v, the distance s is figured by taking the integral. In this case,

v = 20 + 5 cos(t)

s = 20t + 5 sin(t) from 0 to 25

= s(45)-s(0)

s(0) = 0

so, the distance is

s(25) = 20*25 + 5sin(25)

= 500 -0.661

=499.33 feet.

Therefore, the distance traveled in 25 seconds is 499.33 feet.

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Answer:

I'm sorry i cant help you rn, download symbolab or math solver, I'm sure you will find your answer g

Answer:

84

34

27

Step-by-step explanation:

Answer: At that rate, after 50 seconds she will have walked 166.5 meters.

Step by step solution:

Her walk rate is 3.33 meters per second.

After 50 seconds

Answer:

No

Step-by-step explanation:

To determine whether the given set of ordered pairs {(49,13),(61,36),(10,27),(76,52),(23,52)} represents a function, check if each x-value is associated with a unique y-value.

Check the x-values in the set: 49, 61, 10, 76, and 23. There are no repeated x-values.  Still need to check if each x-value has a unique corresponding y-value.

Check the y-values: 13, 36, 27, 52, and 52. There is one repeated y-value, 52, for the pairs (76, 52) and (23, 52).

Conclusion: the y-value 52 is associated with 2 different x-values, therefore the given set of ordered pairs does not represent a function.

Answer:

6

Step-by-step explanation:

\(-\frac84 divided-\frac39\\-2 divided- \frac13\\-2 \cdot -3\\6\)

Answer:

$13 per movie

Step-by-step explanation:

Each movie costed $13 because if Jessica had $95 to spend on 6 movies, and she had $17 after buying all of them, the 6 movies costed a total of $78, and 78 divided by 6=$13 per movie. Hope it helps!

Answer:

13

Step-by-step explanation:

95-17 = 78.

then divide 78 by 6 which equals 13

Answer:

5th grade mean - 4.67

7th grade mean - 3.46

5th-grade median - 5

7th-grade median - 3.5

Answer:

umm i think A C D E ?

Step-by-step explanation:

because theyre all the same. some is just distribution. you should wait for another opinion though because im too lazy to check for B  

1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, the amount paid for the month of June is approximately $252.75, and the amount paid for the entire year is approximately $6,144.

To calculate the amount paid for the month and the year, we need to consider the number of days covered by the insurance policy. Let's break it down step by step:

Step 1: Determine the number of days covered in June.

Since the policy doesn't go into effect until June 16th, there are 15 days remaining in June that will be covered by the insurance policy.

Step 2: Calculate the daily rate.

To find the daily rate, we divide the total cost of the insurance policy by the number of days in a year:

Daily rate = 6,144 / 365

Step 3: Calculate the amount paid for June.

The amount paid for June can be found by multiplying the daily rate by the number of days covered:

Amount paid for June = Daily rate * Number of days covered in June

Step 4: Calculate the amount paid for the year.

To calculate the amount paid for the year, we simply multiply the daily rate by 365 (the total number of days in a year):

Amount paid for the year = Daily rate * 365

Now let's perform the calculations:

Step 2: Daily rate

Daily rate = 6,144 / 365 ≈ 16.85 (rounded to two decimal places)

Step 3: Amount paid for June

Amount paid for June = 16.85 * 15 ≈ 252.75 (rounded to two decimal places)

Step 4: Amount paid for the year

Amount paid for the year = 16.85 * 365 ≈ 6,144 (rounded to two decimal places)

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Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

(1) The value of x is determined as 16.8.

(2) The measure of length VX is calculated as 4.1.

(3) The measure of angle UWV is 69.5⁰.

The value of the missing lengths of the triangle is calculated by applying the following formula;

(1) For the two similar triangles, the value of x is calculated as follows;

20 / (28 - x) = 30 / x

20x = 30 (28 - x )

20x = 840 - 30x

20x + 30x = 840

50x = 840

x = 840 / 50

x = 16.8

(2) The measure of length VX is calculated by applying trig ratios.

tan 63 = 8 / VX

VX = 8 / tan 63

VX = 4.1

(3) The measure of angle UWV is calculated as follows;

angle T = 360 - (94 + 127) = 139

angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)

angle UWV = 69.5⁰

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Answer:

(-1, -8) is:(x + 7)^2 + (y + 4)^2 = 52

Step-by-step explanation:

i literally just learned this today so here we go:

The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

We are given the center of the circle as (-7, -4), so we can substitute these values for h and k:

(x - (-7))^2 + (y - (-4))^2 = r^2

(x + 7)^2 + (y + 4)^2 = r^2

We also know that the circle contains the point (-1, -8).

We can substitute these values for x and y, and solve for r:

(-1 + 7)^2 + (-8 + 4)^2 = r^2

36 + 16 = r^2

r^2 = 52

Substituting this value of r^2 into the equation for the circle, we get:

(x + 7)^2 + (y + 4)^2 = 52

Therefore, the equation of the circle with center (-7, -4) containing the point (-1, -8) is:(x + 7)^2 + (y + 4)^2 = 52

Showing that this need not be true if f is continuous but not uniformly continuous.

Given :

let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e).

( 1 )

If f is uniformly continuous on E, then given ε > 0 there is δ > 0 such that if x, y are in E and |x−y| < δ,

then |f(x) − f(y)| < ε. Let (xn) be a Cauchy sequence in E. Then given δ > 0 there is N such that if p, q > N,

then |xp − xq| < δ, and thus |f(xp) − f(xq)| < ε, implying that (f(xn)) is a Cauchy sequence.

( 2 )

Let E = {1, 1/2, 1/3, · ·  } and f(1/n) = 1 is n is odd, f(1/n) = −1 if

n is even. Then f is continuous but not uniformly continuous. The sequence (xn) = (1/n) in E is Cauchy but the

sequence (f(xn)) = (1, −1, 1, −1, · · ·) is not Cauchy.

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Answer:

The fox can run faster by a factor of 7 miles per hour

Step-by-step explanation:

If the fox runs 21 miles in half of an hour, that means that by multiplying the fraction 21miles/0.5hours by 2/2 you can find that the fox runs 42 miles per hour, 7 miles per hour faster than the rabbit.

Answer:

The Fox, by 7 Miles per hour

Step-by-step explanation:

The rabbit runs 35 Miles per hour

The Fox runs 21 in half an hour

1 hour - 30 minutes = 30 minutes meaning we have to double the foxes miles

21 x 2 = 42

42>32

To find out by how much do 42-32 and we get 7 Miles per hour.

Answer:

Step-by-step explanation:

(4x - 9) + 12 = 2x - 5           Remove the brackets

4x - 9 + 12 = 2x - 5             Combine the left

4x + 3 = 2x - 5                    Subtract 2x from both sides

4x - 2x + 3 = - 5                 Combine

2x + 3 = - 5                         Subtract 3 from both sides

2x + 3 -3 = - 5 -3                Combine

2x = - 8                               Divide by 2

x = -8/2

x = -4

The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.

When two lines intersect, then their opposite angles are equal. Then the equation is given as,

m° + 66° + m° = 120°

Simplify the equation for m, then the value of 'm' is calculated as,

m° + 66° + m° = 120°

2m° = 120° - 66°

2m° = 54°

m° = 27°

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The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Answer:

-1.25

Step-by-step explanation:

t÷3-1÷2 = t÷1+3÷9

2t-3÷6 = 9t+3=9

18t - 27 = 54 + 18

18t -54t = 18 + 27

-36t = 45

Divide through by -36

t = -1.25

Answer:

19. 25 chocolate bars

Step-by-step explanation:

77 divided by 4=19. 25

Dylan should choose Ball B which having lowest density.

What is volume of spere?

The volume of a sphere is calculated using the formula volume = 4/3πr³ where r is the sphere's radius.

Given that:

Ball A = diameter 7cm, mass 1.742kg

Ball B = diameter 6cm, mass 1.040kg

As we know that,

volume of a sphere =4/3πr³

1) For Ball A,

volume of a Ball A = 4/3π(3.5)³

volume of a Ball A = 179.6 cm³

given mass for Ball A is 1.742 kg = 1742 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball A will be 9.7 g/cm³.

2) For Ball B,

volume of a Ball B = 4/3π(3)³

volume of a Ball B = 113.11 cm³

given mass for Ball B is 1.040 kg = 1O40 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball B will be 9.19 g/cm³.

By comparing density of both balls,

Density of Ball A > Density of Ball B

Hence, Dylan should choose Ball B which having lowest density.

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Answer:

D. 8

Step-by-step explanation:

Given:

A(4, 4)

B(8, 4)

C(12, 0)

Midsegment length = ½((Bx - Ax) + (Cx - 0))

Where,

Ax = 4

Bx = 8

Cx = 12

Substitute

Midsegment length = ½((8 - 4) + (12 - 0))

= ½(4 + 12)

= ½(16)

Midsegment length = 8

Answer:

A) $14 per hour

B) Luis earns two dollars per hour more than Carl

Step-by-step explanation:

The calculated area of the composite figure is 85 cm².

From the question, we have the following parameters that can be used in our computation:

The composite figure (see attachment)

Where, we have

Rectangle:

Area = length × width.

Therefore, the area of the rectangle is 10 cm × 6 cm = 60 cm².

Triangle:

Area = (1/2) × base × height.

Therefore, the area of the triangle is (1/2) × 5 cm × 10 cm = 25 cm².

To find the total area of the composite figure, we add the areas of the rectangle and the triangle:

Total Area = Area of Rectangle + Area of Triangle

= 60 cm² + 25 cm²

= 85 cm².

Therefore, the area of the composite figure is 85 cm².

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Answer:

The warranty period should be of 30 months.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Eco-Cook rice cooker has a mean time before failure of 38 months with a standard deviation of 6 months.

This means that \(\mu = 38, \sigma = 6\)

What should be the warranty period, in months, so that the manufacturer will not have more than 8% of the rice cookers returned?

The warranty period should be the 8th percentile, which is X when Z has a p-value of 0.08, so X when Z = -1.405.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.405 = \frac{X - 38}{6}\)

\(X - 38 = -1.405*6\)

\(X = 30\)

The warranty period should be of 30 months.