Barry is thinking of a number.
He says, "My number is even. It is a factor of 30 and a multiple of 5”.
There are two possible numbers Barry can be thinking of.
Write down these two numbers.

When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet

Given,

The cost of Carpet per square foot = $4

Total cost of the carpet = $616

We know

Area of the rectangle = Length × Width

Length = 14 feet

Consider the width of the rectangular room as x

Then the area of the room = 14x

Total cost of carpet = Area of the rectangular room× Cost of carpet per foot

Substitute the values

14x×4=616

14x=154

x=11 feet

Hence, When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet

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Answer:

They each brought $22 to the fair

Step-by-step explanation:

8+3=11

11*2=22

Answer=22

John is 10 years old and Marcus is 15 years old.

Let the present age of John be j years.

Present age of Marcus = (j + 5) years

Five years ago: Age of John = (j - 5) years

Age of Marcus = ((j + 5) - 5) years = j years

According to the given statement, five years ago he was 2 times older than John. i.e.

j = 2(j - 5)

j = 10

So, present age of John = j = 10 years

Present age of Marcus = (j + 5) = 15 years

Thus, John is 10 years old and Marcus is 15 years old.

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Answer:

I answer your last question just now, yep right now this momment

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Answer:

\( 48 - 20x = 9 \)

Step-by-step explanation:

\( 2 - \dfrac{5}{6}x = \dfrac{3}{8} \)

Multiply both sides by the LCD which is 24.

\( 24(2 - \dfrac{5}{6}x) = 24(\dfrac{3}{8}) \)

\( 48 - 20x = 9 \)

Jack has a total of 35 different combinations of fruits to choose from at the store.

To calculate the number of combinations Jack can choose, we need to use the concept of combinations in mathematics. Since Jack can buy any three fruits out of the seven available options, we need to calculate the number of combinations of 7 fruits taken 3 at a time.

The formula to calculate combinations is C(n, r) = n! / (r! * (n - r)!), where n is the total number of options and r is the number of options to be chosen.

In this case, n = 7 (total number of fruits) and r = 3 (fruits to be chosen). Plugging these values into the formula, we get:

C(7, 3) = 7! / (3! * (7 - 3)!)

        = (7 * 6 * 5 * 4!) / (3 * 2 * 1 * 4!)

        = (7 * 6 * 5) / (3 * 2 * 1)

        = 35

Jack has a total of 35 different combinations of fruits to choose from at the store. He can select any three fruits out of the available options, which include apples, oranges, pears, bananas, plums, grapefruit, and kiwis.

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The data set that represented by the dot plot given is:

D. {145, 165, 165, 165, 165, 165, 175, 175, 175, 175, 175, 175, 185}

In a dot plot, each data point in a data set is represented by a dot.

To find out the data set that is represented in the dot plot, list out the data points as plotted on the dot plot given.

In the given dot plot that is showing the pulse rates of runners after finishing a marathon, it can be seen that,

There are 1 dot on 145, 5 dots on 165, 6 dots on 175 and 1 dot on 185.

Thus:

Therefore, the data set that represented by the dot plot given is:

D. {145, 165, 165, 165, 165, 165, 175, 175, 175, 175, 175, 175, 185}

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Answer:

A y= -2/3x+10

Step-by-step explanation:

___________

Answer:

A. y=-2/3x+10

Step-by-step explanation:

...........

Answer:

1850 * 0.7^3 = 634.55

Step-by-step explanation:

The slope of the line will be negative.

Option D is true.

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The line is shown on the graph.

Two points on the graph are (- 3, 1) and (1 , -3).

Now,

Since, Slope of line with two points (x₁ , y₁) and (x₂, y₂) is defined as;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

Hence, Slope of line with two points (- 3, 1) and (1 , -3) is;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

⇒ m = (- 3 - 1) / (1 - (-3))

⇒ m = - 4 / 4

⇒ m = - 1

Thus, The slope of the line will be negative.

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Answer:

Q1, x=2 and all sides equal 8

Q2, x=3, MN and MP equal 10 and NP equals 8

Step-by-step explanation:

On an equilateral triangle all sides are equal

6x-4=3x+2

6x=3x+6

3x=6

x=2

6x-4

6(2)-4

12-4

8

On a isosceles triangle the two long sides are equal

4x-2=5x-5

4x=5x-3

-x=-3

x=3

4x-2

4(3)-2

12-2

10

3x-1

3(3)-1

9-1

8

Answer:

A is the answer

Step-by-step explanation:

look at the attached image

The  probability that at least 3 customers out of the first 6 will buy bread is 88.3% that is option B.

The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for Success or Failure as the potential outcomes of an experiment. For instance, if we flip a coin, there are only two conceivable results: heads or tails, and if we take a test, there are only two possible outcomes: pass or fail. A binomial probability distribution is another name for this distribution.

The formula used is :

P(X=x) = \(C_n.x.p^x.(1-p)^n^-^x\)

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

65% of customers who come into this store buy bread, hence p = 0.65.

A sample of 6 customers is taken, hence n = 6.

The probability that at least 3 customers out of the first 6 will buy bread is given by:

P(X≥3) = P(X=3) + P(X=4) + P(X=5) + P(X=6)

In which

P(X=x) = \(C_n.x.p^x.(1-p)^n^-^x\)

P(X = 3) = C₆,₃(0.65)³ x (0.35)³ = 0.2355

P(X = 4) = C₆,₄(0.65)⁴ x (0.35)² = 0.328

P(X = 5) = C₆,₅(0.65)⁵ x (0.35)¹ = 0.2437

P(X = 6) = C₆,₆(0.65)⁶ x (0.35)⁰ = 0.0754

Then,

P(X≥3) = P(X=3) + P(X=4) + P(X=5) + P(X=6)

= 0.2355 + 0.328 + 0.2437 + 0.0754 = 0.8826

The probability that at least 3 customers out of the first 6 will buy bread is 0.8826 ≈ 88.3%.

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Complete  question;

A local bakery sells the freshest bread in town. In fact, 65% of customers who come into this store buy bread. What is the probability that at least 3 customers out of the first 6 will buy bread?

23.5%

88.3%

11.7%

76.5%

Answer:

We know that the y intercept is -3 because that is where it intersects! The point for the y intercept is (0, -3)

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

Let the length of the width = w.

Then, the length of the length is w + 2.

The perimeter of a rectangle is 2*length + 2*width.

Therefore, 2*(w+2) + 2*w = 64

2w + 4 + 2w = 64

4w + 4 = 64

4w = 60

w = 15

The term has 4 polynomials in the quadratic equation.

Algebraic expressions called polynomials include constants and indeterminate.

Polynomials can be thought of as a type of mathematics.

Nearly all branches of mathematics employ them to express numbers, and calculus is one of those branches where they play a crucial role.

Polynomials include, for instance, 2x + 9 and x2 + 3x + 11.

You may have noticed that the "=" symbol is absent from all of these samples.

Now in the given equation,

we have 4 different polynomials:

\(x^{4}\), y³, \(y^{0}\) and x.

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The probability that Yasmin will not be offered a coupon on at least one of the days she visits the website will be;

⇒ 0.9375

The term probability refers to the likelihood of an event occurring

Given that;

The probability that a visitor is offered a coupon (p) = 50%

Now,

Since, The probability that a visitor is offered a coupon (p) = 50%

Hence, The probability that he gets coupon all 4 days is,

⇒ p (4) = p⁴

⇒ p (4) = (50%)⁴

⇒ p (4) = 0.0625

Hence, By using the complement rule, the probability that he is not offered a coupon at least one day is,

⇒ p' = 1 - 0.0625

⇒ p' = 0.9375

Thus, The probability that Yasmin will not be offered a coupon on at least one of the days she visits the website = 0.9375

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well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

(a) the probability expected number of flips needed to get three heads in a row is 7.5.

(b) The expected number of flips needed to get k heads in a row is 2k - 1.

A fair coin is one where the probability of obtaining heads is equal to the probability of obtaining tails, that is, P(H) = P(T) = 1/2. When a fair coin is flipped repeatedly, the expected number of flips needed to get three heads in a row is 7.5. This is because the probability of getting three heads in a row is (1/2)^3 = 1/8. This means that on average, 8 flips need to be made for three heads to appear, so the expected number of flips is 7.5.Similarly, the expected number of flips needed to get k heads in a row is 2k - 1. This is because the probability of getting k heads in a row is (1/2)^k. This means that on average, 2k flips must be made for k heads to appear, so the expected number of flips is 2k - 1. For example, the expected number of flips needed to get five heads in a row is 9, since the probability of getting five heads in a row is (1/2)^5 = 1/32, and 32 flips need to be made on average before five heads appear, so the expected number of flips is 9

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Answer:

D.) 50 mi/h and 60 mi/h

Step-by-step explanation:

Answer:

50 mph and 60 mph

Step-by-step explanation:

Represent the two speeds by s and f (slower and faster).  Then f = s + 10.

We find the distance traveled by each car separately, sum up the absolute values of these distances and set this sum equal to 660:

(s + s + 10)(6 hr) = 660 mi.  Simplifying this, we get:

2s + 10 = 110, or

2s = 100.

Then s = 50 mph and f = (50 + 10) mph, or 50 and 60 mph (matches the last possible answer)

Answer:

x \(\geq\) -40.6

Step-by-step explanation:

9/5x + 23 \(\geq\) -50 (subtract 23 over to other side)

9/5x \(\geq\) -73 (multiply by 5)

9x \(\geq\) -365 (divide by 9)

x \(\geq\) -40.6

Answer:

If you mean x2+y, then the answer would be 11.

99.8% confidence interval with a margin of error of 0.02, using the estimated proportion of 0.31 from the previous poll.

To find the sample size needed to construct a confidence interval for a proportion with a specified margin of error, we use the following formula:

n = (z^2 * p * q) / E^2

where:

n is the sample size

z is the z-score corresponding to the desired level of confidence (99.8% in this case)

p is the estimated proportion from the previous poll (0.31 in this case)

q = 1 - p

E is the desired margin of error (0.02 in this case)

First, we need to find the value of z for a 99.8% confidence level. Using a standard normal distribution table, we can find that the z-score for a 99.8% confidence level is approximately 2.967.

Substituting the given values into the formula, we have:

n = (2.967^2 * 0.31 * 0.69) / 0.02^2

n = 1202.19

Rounding up to the nearest whole number, we need a sample size of n = 1203 to construct a 99.8% confidence interval with a margin of error of 0.02, using the estimated proportion of 0.31 from the previous poll.

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Answer:

D and C

Step-by-step explanation:

because EF is diameter

then radius diameter divided by 2

Answer:yes?

Step-by-step explanation:

it has #s in it lol

Answer:

no it isnt

Step-by-step explanation:

The probability of the sets are solved and

a) n(P U Q) = 85%

b) n(P ∩ Q) = 20%

c) n(only P) = 35%

d) n(only Q) = 30%

Given data ,

P and are the subsets of universal set U

And , n (p) = 55% n (Q) = 50% and n(PUO)complement = 15%

Now , we'll use the formula for the union and intersection of sets:

n(P U Q) = n(P) + n(Q) - n(P ∩ Q)

n(P ∩ Q) = n(P) + n(Q) - n(P U Q)

n(only P) = n(P) - n(P ∩ Q)

n(only Q) = n(Q) - n(P ∩ Q)

We're given that:

n(P) = 55%

n(Q) = 50%

n(P U Q)' = 15%

To find n(P U Q), we'll use the complement rule:

n(P U Q) = 100% - n(P U Q)'

n(P U Q) = 100% - 15%

n(P U Q) = 85%

Now we can substitute the values into the formulas above:

(i)

n(P U Q) = n(P) + n(Q) - n(P ∩ Q)

n(P ∩ Q) = n(P) + n(Q) - n(P U Q)

n(P ∩ Q) = 55% + 50% - 85%

n(P ∩ Q) = 20%

(ii)

n(P ∩ Q) = 20%

(iii) n(only P) = n(P) - n(P ∩ Q)

n(only P) = 55% - 20%

n(only P) = 35%

(iv)

n(only Q) = n(Q) - n(P ∩ Q)

n(only Q) = 50% - 20%

n(only Q) = 30%

Hence , the probability is solved

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Answer:

See below

Step-by-step explanation:

Refer to attached

Since 40 oz is total

The weight of each shape indicated in the picture and calculated as:

As each inch weights 1 oz, there must be 5 of each shapes included in the kit