Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
The sum of 7 and the cube of a number.
The sum of 7 and the cube of a number.

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

The surface area of this square pyramid is 33ft

The formula for calculating the surface area of the ssquare pyramid is expressed as:

TSA = Area of square + 4(area of triange)

TSA = (3*3) + 4(0.5 * 4 * 3)

TSA = 9 + 4(6)
TSA = 9 + 24
TSA = 33 square feet

Hence  the surface area of this square pyramid is 33ft

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Answer:

second

Step-by-step explanation:

substitute y=6 and x=1 in the given relations and see if works

y=2x will be 6 = 2*1 false

y=x+5 will be 6 = 1+5 true

because this is true check all the other y and x and if all true is good

7=2+5 true, 8=3+5 true 9= 4+5 true, 10=5+5 true, so second is good

y=2x+1 will be 6=2*1+1 false

y=3x+1 will be 6=3*1+1 false

Answer:

Step-by-step explanation:

(14×2)+(14×4)

7×(3+5)

c, e and g

Answer:

I think it's 2

Step-by-step explanation:

Answer:

1/11 is correct.

Step-by-step explanation:

You can see that the 3 is spun 2 times, but we need to know how many times he spun in total.

2 + 3 + 2 + 4 + 5 + 2 + 1 + 3 = 22

2/22 = 1/11

Have a nice day!

Answer:

The equation for the trend line is y=2x-10

Answer:

2/3

(-4, 2) and (-16, -6)

slope = m = (y2 - y1) / (x2 - x1) = (-6 - 2) / (-16 - -4) = -8 / -12 = 2 / 3 = 0.667

I hope you got it right :)

Answer:

4

Step-by-step explanation:

1/4 of 16 is the same as 16 divided by 4. 16 divided by four is 4.

Answer:

Sylvia's total cost=$2.79*8

=$22.32

Step-by-step explanation:

Answer:

55.56%

Step-by-step explanation:

Answer:

55.56

Step-by-step explanation:

Answer:

3 bottles

Step-by-step explanation:

1 bottle -- $1.20

x bottles -- 3.60 (total cost)

Therefore, number of bottles -- (3.60/1.20) = 3

She bought 3 bottles.

Thenks and maek me brainliest :))

Volume of a cylinder is the area of the base x the height.

Area of base = pi x r^2 = 3.14 x 2^2 = 12.56

Volume = 12.56 x 8 = 100.48 units^3

Answer:

32 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = Bh  where B is the area of the base

The base is a circle

The area of a circle is given by

A = pi r^2

The radius is 2

A = pi (2)^2 = 4pi

The area of the base is 4pi

The height is 8

V = 4pi *8

V = 32 pi units^3

Answer: Volume = 48

Step-by-step explanation:

V = L * W * H

V = 4 * 6 * 2

V = 48

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.

ANSWER:

245.83

Step-by-step explanation:

16,780/100=167.8

167.8 x 1.465= 245.827

Using unitary method, Adam's monthly payment is 245.83 dollar.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Monthly payment with 12.5% interest rate for 10 years per 100 dollar is 1.465 dollar.

Monthly payment with 12.5% interest rate for 10 years per 1 dollar is 0.01465 dollar.

Monthly payment with 12.5% interest rate for 10 years per 16780 dollar is 1.465 * 16780 dollar = 245.83 dollar.

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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:

-30x

Step-by-step explanation:

The parenthesis is just to multiply, and you can combine like terms. So -5*6=-30, which you multiply with x to get -30x.

Answer:

Congress immediately tabled its expected contribution of $200,000 to the Society, effectively halting the appropriation. During its tenure, the Know-Nothing Society added only two courses of masonry, or four feet, to the monument using rejected masonry it found on site, increasing the height of the shaft to 156 feet

Step-by-step explanation:

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.

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Answer:

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.

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.

A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.

This means that [tex]\mu = 73.5, \sigma = 5.1[/tex]

Find the probability that there will be fewer than 69 broken pretzels in a run.

This is the p-value of Z when X = 69.

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

[tex]Z = \frac{69 - 73.5}{5.1}[/tex]

[tex]Z = -0.88[/tex]

[tex]Z = -0.88[/tex] has a p-value of 0.1894

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.

Answer: C is the answer bc it is asking what is more grader

Step-by-step explanation:

Answer: The answer is 15

HOPE THIS HELPS AND HAVE A VERY GOOD DAY

Answer:

12, because both dogs and birds only have 12 heads