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Answer:

0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Sent by ABC Speedy Delivery Service.

Event B: Arrived on time.

The probability that any given parcel will be sent by the ABC Speedy Delivery Service is 0.71.

This means that [tex]P(A) = 0.71[/tex]

The probability that the parcel will arrive on time given the ABC Speedy Delivery Company was used is 0.93.

This means that [tex]P(B|A) = 0.93[/tex]

Find the probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

This is [tex]P(A \cap B)[/tex]. So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)*P(A) = 0.93*0.71 = 0.6603[/tex]

0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

7 hours is the answer.

7 x 7 = 49, so if he works 7 hours for $7 an hour, he would have $49.

Answer: 5.32 × 10^12

Step-by-step explanation:

This is a question relating to indices. In indices, we add the power given for question relating to multiplication. Hence, this will be:

= (2.8•10^8)(1.9•10^4)

= (2.8 × 1.9) × 10^8+4

= 5.32 × 10^12

Therefore, the answer to the question will be 5.32 × 10^12.

Answer:

Step-by-step explanation:

1/3 bh=96 pi/3=32 pi

Answer:

[tex]\displaystyle V = 32\pi \ in^3[/tex]

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]

Step-by-step explanation:

Step 1: Define

Identify

r = 4 in

h = 6 in

Step 2: Find Volume

Answer: Volume = 48

Step-by-step explanation:

V = L * W * H

V = 4 * 6 * 2

V = 48

Answer:

48pi

Step-by-step explanation:

pi x 8² - pi x 4²

64pi - 16pi

48pi

Answer:

1808.64 IN^3

Step-by-step explanation:

Helium needed = volume of spherical shaped ice cream + volume of cone

Volume of a sphere = 4/3 x pi x r^3

4/3 x 3.14 x 6^3 = 904.32 ft^3

Volume of a cone 1/3 x (nr^2h)

n = 22/7

r = radius  = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

h = height

1/3 x 3.14 x 6^2 x 24 = 904.32

helium needed = 2 x 904.32 = 1808.64 in^3

Answer:

the second set of numbers are in least to greatest.

Step-by-step explanation:

Since it is negative -2.5 is farther away from zero than -2.3

Answer:

64 times bigger

Step-by-step explanation:

I will use random values for this explanation to make it more understandable.

Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.

The volume would be l*w*h = 1*1*1 = 1 cubic inch

If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.

4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.

Hope this answer helped! :)

Answer:

The proportion of borrowers who owe more than 54,000 is 0%.

Step-by-step explanation:

Normal Probability Distribution:

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

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Researchers found that the average student loan balance per borrower is $23,300.

This means that [tex]\mu = 23300[/tex]

They also reported that about one-quarter of borrowers owe more than $28,000.

This means that the 1 subtracted by the p-value of Z is 0.25 when X = 28000, that is, when X = 28000, Z has a p-value of 0.75, so when X = 28000, Z = 0.675. We use this to find [tex]\sigma[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{28000 - 23300}{\sigma}[/tex]

[tex]0.675\sigma = 4700[/tex]

[tex]\sigma = \frac{4700}{0.675}[/tex]

[tex]\sigma = 6963[/tex]

Estimate the proportion of borrowers who owe more than 54,000.

This is 1 subtracted by the p-value of Z when X = 54000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{54000 - 23300}{6963}[/tex]

[tex]Z = 4.41[/tex]

[tex]Z = 4.41[/tex] has a p-value of 1

1 - 1 = 0

The proportion of borrowers who owe more than 54,000 is 0%.

Answer: Bottom left

Step-by-step explanation:

Answer:

Bottom Left

Step-by-step explanation:

Im near 100% sure if im wrong im very sorry

Answer:

is it x to the power of 3 or 3x over 2=8?

Step-by-step explanation:

Answer:

x = ∛2^4 which is approx. 2.5

Step-by-step explanation:

x³/2 = 8/1

cross-multiply to get:

x³ = 16

x³ = 2^4

multiply each exponent by 2/3

x^(3·2/3) = 2^(4·2/3)

x² = 2^8/3

take square root of each side:

x = 2^(8/3 · 1/2)

x = 2^4/3

x = ∛2^4

Answer:

(7 - i) and (5 + i) with multiplicity 1 are also roots of this polynomial. The complete set of roots are: Therefore the polynomial is: The correct choice is C

Answer:

12.

Step-by-step explanation:

The side length = sqrt 9 = 3

so the perimeter = 4*3 = 12.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

12 units.  

»»————-　★　————-««  

Here’s why:  

The formula for area of a square is:

[tex]A=s^2\\\\\boxed{\text{Key:}}\\\\s-\text{Side length given.}[/tex]

⸻⸻⸻⸻

Recall that the area of a square is the square of it's side length. [tex](s^2)[/tex]⸻⸻⸻⸻

[tex]\boxed{\text{Finding the side length of the square:}}\\\\\rightarrow S=9\\\\\sqrt{9}=3\\\\\rightarrow S=\boxed{3}^2[/tex]

⸻⸻⸻⸻

The side length of the square is 3 units.

⸻⸻⸻⸻

The formula for perimeter of a square is:

[tex]P=4(s)\\\\\boxed{\text{Key:}}\\\\s-\text{Side Length}[/tex]

⸻⸻⸻⸻

Recall that the perimeter of a square is 4 times the side length. [tex]4(s)[/tex].

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the perimeter of a square:}}\\\\P=4(3)\\\\\boxed{P=12}[/tex]

⸻⸻⸻⸻

The perimeter of the square is 12 units.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

12+16= 28m

28m is the combined height of the trees .

Hope this helps !

Answer:

17+19i

Step-by-step explanation:

[tex](3-2i)(1+7i) =3+21i-2i-14i^2=3+19i+14=17+19i[/tex]

The formula for the area of a rectangular room is width x length, as shown in the figure below: This is the equation used in our square footage calculator as well.

Answer:

20.1

Step-by-step explanation:

a^2+b^2=c^2

6^2+b^2=21^2

36+b^2=441

b^2=441-36

b^2=405

sqrt of b =20.12

Answer:

1 r 4

Step-by-step explanation:

 0 1

6 1 0

− 0  

 1 0

−   6

   4

Answer:

Step-by-step explanation:

C isnt an interval and the function is always decreasing

Answer:

It’s C

Step-by-step explanation:

When the outlier is on the right of the rest then it’s going to be positively skewed

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

Explanation:

The box plot, aka "box-and-whisker plot", visually represents five things. These things are:

This list of five items is known as the five number summary.

The min is the tip of the left most whisker, assuming there aren't any small outliers. The max is the opposite side, being the tip of the right most whisker (assuming no large outliers). If there are any outliers, then they'll be shown as "island" dots on their own separated from the main box plot. The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint of the left and right edges of the box. It simply needs to be somewhere in the box.

--------

Since the box plot lets us know the min and max, we can compute the range because

range = max - min

and we can also calculate the interquartile range (IQR) because

IQR = Q3 - Q1

--------

So to summarize so far, the five number summary is visually represented as the box plot. The range and IQR can be computed using items from the five number summary.

We cannot compute the mean because we would need the actual data set of values, rather than the summary data. The same goes for the mean absolute deviation (MAD) and the mode. Since your teacher is looking for things that cannot be determined from a box plot, we'll go for answers B, C and E.

In other words, we rule out choices A, D, and F because we can compute or determine those values from a box plot.

Answer:

H  0

​ :μ=18.2  ∘  C

H  a

 :μ>18.2  ∘  C

​

Step-by-step explanation:

Khan............... The null hypothesis has a statement of equality, and the direction of alternative hypothesis (>)(>)left parenthesis, is greater than, right parenthesis matches her belief that last year was warmer.

The three conditions for hypothesis testing are approximately met, and the null hypothesis is that the population mean daily high temperature in Buenos Aires is 18.2∘C.

Hypothesis Testing is a type of statistical analysis in which you put your assumptions about a population parameter to the test. It is used to estimate the relationship between 2 statistical variables.

here, we have,

The three conditions for hypothesis testing are approximately met based on the information given.

Null hypothesis (H0) is that the population mean daily high temperature in Buenos Aires is 18.2∘C. Alternative hypothesis (Ha) is that the population mean daily high temperature in Buenos Aires is greater.

The test statistic is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true. It can be calculated using a t-distribution with degrees of freedom equal to the sample size minus one.

To learn more about hypothesis testing please click on below link.

brainly.com/question/29607047

#SPJ3

Answer:

(-4, 2)

Step-by-step explanation:

this is a simultaneous equation;

solving by substitution method, we have;

since y= ¼x + 3 and the same y= 2x + 10

therefore we combine both equations;

¼x + 3= 2x+10

3-10=2x-¼x

to clear out fraction, multiply throughout by 4

-28= 8x-x

-28= 7x

x= -28/7

x= -4

since x is -4, therefore All we have to do is to substitute x into y, doing this, we have;

y=2x+10

y= 2(-4) + 10

y= -8 + 10

y= 2

therefore y= 2 and x= -4

so the values are (-4, 2)

if you still don't understand, check your NGM SS2 textbook or make a comment and I will explain better

Answer:

55.56%

Step-by-step explanation:

Answer:

55.56

Step-by-step explanation:

Answer:

[tex]\frac{5}{16}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}-\frac{3}{16}=\frac{8}{16}-\frac{3}{16}=\boxed{\frac{5}{16}}[/tex]

Answer:

hope this helps

Step-by-step explanation:

the answer is 5/16