Find the number if:

5/9 of it is 90.

And another similar question;

Find the number if:

7/3 of it is 5 5/6


I need help with both of these questions.

Step-by-step explanation:

perimeter = 30+(2×25)+(½×3.14×30)

= 30+50+47.1

= 127.1 cm

Area = (25×30)+ (½×3.14×15²)

= 750 + 353.25

= 1.103.25 cm²

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

Explanation:

Divide the figure so we have a semicircle on the left and a rectangle on the right. The rectangle is 30 by 25. The semicircle has diameter 30.

If we consider a full circle of diameter 30, then its circumference is exactly C = pi*d = pi*30 = 30pi centimeters.

But we only have half a circle, so we cut that in half to get 30pi/2 = 15pi. That's the distance around the curved portion of this diagram. The straight line portions are handled as exactly as you expect.

Add up the distances around the outer edges to get:

15pi+25+30+25 = 15pi+80

The exact perimeter, in terms of pi, is 15pi+80 centimeters.

To get an approximation of this, we can use pi = 3.14 to get

15*pi + 80 = 15*3.14+80 = 127.1 cm

To get a better approximation, use more decimal digits in pi. Or you can let your calculator handle the decimal digits of pi (in other words, use the stored version of it).

The correct option is d. The day on which Elizabeth first gets charged an overdraft fee is Saturday. Her account balance first becomes negative on this day.

From the given data, we can calculate the balance on each day as shown:

Balance on Monday = $252 - $114.60 + $150.00 = $287.40

Balance on Tuesday = $287.40 - $79.68 = $207.72

Balance on Wednesday = $207.72 - $161.39 = $46.33

Balance on Thursday = $46.33 - $57.40 = -$11.07

Balance on Friday = -$11.07 - $22.85 + $75.00 = $41.08

Balance on Saturday = $41.08 - $140.55 = -$99.47

We see that Elizabeth's balance first becomes negative on Saturday, so she will be charged an overdraft fee on that day.Answer: d. Saturday

The day on which Elizabeth first gets charged an overdraft fee is Saturday. Her account balance first becomes negative on this day.

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Answer:

f=9 x 20

Step-by-step explanation:

Answer:

Interest = Principal x rate x time

I = 25000(.029)(5) = $3,625

Step-by-step explanation:

Answer:

25 feet long and 16 feet wide

Step-by-step explanation:

16 x 2 = 32
32 - 7 = 25
25 x 16 = 400

Answer:

\(Profit = \$117.7\)

Step-by-step explanation:

Given

Selling Price of:

\(Cookies = \$4.01\)

\(Brownie = \$4.1\)

\(Cake = \$30.54\)

Quantities Sold:

\(Cookies = 13\)

\(Brownies = 5\)

\(Cake = 3\)

Cost Price:

\(Cookies = \$1.79\)

\(Brownie = \$0.63\)

\(Cake = \$6.71\)

Required

Determine the profit

First, we need to calculate the total cost price:

Total Cost Price = Item Cost Price * Quantity ---- For each

i.e.

\(Total\ Cost\ Price = \$1.79 * 13 + \$0.63 * 5 +\$6.71 * 3\)

\(Total\ Cost\ Price = \$23.27 + \$3.15 +\$20.13\)

\(Total\ Cost\ Price = \$46.55\)

Then, the total selling price

Total Selling Price = Item Selling Price * Quantity ---- For each

\(Total\ Selling\ Price = \$4.01 * 13 + \$4.1 * 5 + \$30.54 * 3\)

\(Total\ Selling\ Price = \$52.13 + \$20.5+ \$91.62\)

\(Total\ Selling\ Price = \$164.25\)

Profit is calculated as thus:

\(Profit = Total\ Selling\ Price - Total\ Cost\ Price\)

\(Profit = \$164.25 - \$46.55\)

\(Profit = \$117.7\)

Answer:

The angle marked E is 120 degrees

Step-by-step explanation:

Here, we want to get the value of the angle marked E

when two triangles are similar/congruent, we have equal angle measures

Using the markings, we can deduce the following relationships;

4y -28 = 83 + y

4y-y = 83 + 28

3y = 111

y = 111/3

y = 37

So, we have;

4y-28 as

4(37) - 28

= 120

The possible numbers of infected bats in the sample that are within one standard deviation of the mean are 20 to 30.

To determine this, we can use the binomial distribution. Let's define the following variables:

- \(n\) represents the number of bats sampled from the population, which is 120 in this case.

- \(p\) represents the probability of a single bat being infected, which is 25% or 0.25.

- \(q\) represents the probability of a single bat not being infected, which is 1 - p, or 0.75.

The mean (\(\mu\)) of the binomial distribution is given by \(\mu = np\), and the standard deviation \((\(\sigma\)) is given by \(\sigma = \sqrt{npq}\).\)

In this case, the mean is \(\mu = 120 \times 0.25 = 30\) and the standard deviation is \(\(\sigma = \sqrt{120 \times 0.25 \times 0.75} \approx 5.49\).\)

To find the possible numbers of infected bats within one standard deviation of the mean, we need to consider values that are within the range of \(\mu \pm \sigma\). Therefore, the range is from \(\mu - \sigma\) to \(\mu + \sigma\).

Calculating the lower and upper bounds:

Lower bound: \(\(\mu - \sigma = 30 - 5.49 \approx 24.51\)\)

Upper bound: \(\(\mu + \sigma = 30 + 5.49 \approx 35.49\)\)

Since the number of bats must be an integer, we round the bounds to the nearest whole numbers:

Lower bound: 25

Upper bound: 36

Thus, the possible numbers of infected bats in the sample that are within one standard deviation of the mean are 25 to 36.

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Answer:

$61.75

Step-by-step explanation:

I divided the $42.75 by 9 to get 4.75. Then i multiplied the 4.75 by 13 to get $61.75.

The rate which the mulch is being applied is 250,000 cm^3/cm^2

The statement is given as

Rita is applying 250,000 cm^3 of mulch per m^2 of the garden space

This means that the rate is

Rate = Volume of mulch/Area of garden space

Substitute the known values in the above equation

So, we have

Rate = 250,000 cm^3/cm^2

Hence, the rate which the mulch is being applied is 250,000 cm^3/cm^2

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To find 1/3 of a line segment, divide the line segment into three equal parts. Measure the length of one of these parts and this will be 1/3 of the line segment.

This can be done by using a ruler or a measuring tape. Alternatively, if the length of the line segment is known, divide it by 3 to find 1/3 of the line segment. For example, if the line segment has a length of 12 inches, then the length of 1/3 of the line segment is 4 inches. If the line segment is curved, you can divide it into three equal arc lengths using a compass.

You can then measure the length of one of these arcs to find 1/3 of the line segment. To make sure that the three parts are equal, you can use the Pythagorean theorem or the triangle inequality theorem. This will help you to accurately divide the line segment into three equal parts.

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There are 969 methods for the quality control inspector to randomly check 5 smartphones, of which 2 are defective, from the shipment of 21 smartphones.

We can solve this problem using combinations formula, that is a way of counting the number of ways to select k objects from a fixed of n items without regard to order. The range of combinations of k items from a fixed of n objects is given via:

\(C(n, k) = n! / (k! * (n-k)!)\)

in which:

In this situation, we want to pick out 2 defective smartphones out of 2 defective smartphones and 19 non-defective smartphones, and we need to pick out out three non-defective smartphones out of the ultimate 19 non-defective smartphones.

Consequently, the number of approaches to choose 2 defective smartphones and 3 non-Defective smartphones from the set of 21 smartphones is:

\(C(2, 2) * C(19, 3) = 1 * (19! / (3! * 16!)) = 191817 / (321) = 969\)

Therefore, there are 969 methods for quality control.

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Answer:

\(d=5\)

Step-by-step explanation:

Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in the 2 coordinates into the formula to find distance d:

\(d=\sqrt{(4-1)^2+(-1-3)^2}\)

\(d=\sqrt{(3)^2+(-4)^2}\)

\(d=\sqrt{9+16}\)

\(d=\sqrt{25}\)

\(d=5\)

Answer: D

Step-by-step explanation:

Joint Distribution of x and y is 25.

Joint Distribution is based on joint probability, which can be simply defined as the probability of two events happening together.

We know the formula for joint distribution

F(x,y) = P(X ≤ x and Y ≤ y) = ∑∑p(xi,yi)

Here x is the number of aces and y is the number of kings in a poker hand.

That means x can take values from 0 to 4 and y can take values from 0 to 4.

∴ F(x,y) = P(X ≤ 4 and Y ≤ 4)

⇒ F(x,y) = p(0,0) + p(0,1) + p(0,2) + p(0,3) + p(0,4) + p(1,0) + p(1,1) + p(1,2) + p(1,3) + p(1,4) + p(2,0) + p(2,1) + p(2,2) + p(2,3) + p(2,4) + p(3,0) + p(3,1) + p(3,2) + p(3,3) + p(3,4) + p(4,0) + p(4,1) + p(4,2) + p(4,3) + p(4,4).

To find all these values we will construct a table as follows;

P(x,y)           Y=0      Y=1         Y=2      Y=3    Y=4

X=0              0          1/4          1/2        3/4       1      

X=1               1/4        1/2        3/4         1        5/4

X=2             1/2         3/4         1            5/4     3/2

X=3             3/4          1          5/4         3/2      7/4      

X=4               1          5/4         3/2       7/4       2

Now the joint distribution will become,

F(x,y) = 0 + 1/4 + 1/2 + 3/4 + 1 + 1/4 + 1/2 + 3/4 +1  + 5/4 + 1/2 + 3/4 + 1 + 5/4 + 3/2 + 3/4 + 1 + 5/4 + 3/2 + 7/4 + 1 + 5/4 + 3/2 + 7/4 + 2

F(x,y) = 25

Therefore the joint distribution of x and y is 25.

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Answer:

Option i) At least 64 of the numbers are greater than or equal to 35 must be true

Since the median is 35, we know that there are 63 numbers greater than 35 and 63 numbers smaller than 35. However, since there is an odd number of total numbers (127), the median itself must be included in one of these groups. Therefore, there are at least 64 numbers that are greater than or equal to 35.

well, one quarter of a year is 3 months, so at the end of third quarter, 9 months have passed, and since a year has 12 months, 9 months are simply 9/12 of a year.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$960\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases}\)

\(A=960\left(1+\frac{0.07}{4}\right)^{4\cdot \frac{3}{4}}\implies A=960(1.0175)^3\implies A\approx 1011.29\)

9514 1404 393

Answer:

  x = 31

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  98° +51° +x° = 180°

  x° = 31° . . . . . . . . . . . . subtract 149°

  x = 31

f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

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Answer:

equal to 1

Step-by-step explanation:

I believe this is the answer. Also I see that ur new. Well welcome to Brainly.

Answer:

x=32

Step-by-step explanation:

Answer:

Step-by-step explanation:

AREA OF CIRCLE = 660.185CM^2

HOPE IT HELPS

After using the test statistic z, P(3.6<X<53.5) = 0.967.

In the given question, suppose X is a normal random variable with mean 35 and sdev 10.

We have to find P(3.6<X<53.5).

Fro the given question,

Mean x = 35

sdev s = 10

Z = X - mu / sd

P(3.6<X<53.5) = P ( 3.6-35/10 < Z < 53.5-35/10 )

P(3.6<X<53.5) = P ( -31.4/10 < Z < 18.5/10 )

P(3.6<X<53.5) = P ( -3.14 < Z < 1.85 )

P(3.6<X<53.5) = P ( Z < 1.85) - P ( Z < -3.14)

left tail of both

P(3.6<X<53.5) = 0.9678 - 0.0008

P(3.6<X<53.5) = 0.967

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The right answer is:

Suppose X is a normal random variable with mean 35 and sdev 10. Find P(3.6<X<53.5)

i think the answer is linear I am not sure though

Answer:

Hello! answer: b = 5

Step-by-step explanation:

13 × 13 = 169 12 × 12 = 144 169 - 144 = 25 5 × 5 = 25 therefore b = 5 hope that helps!

Answer:

Tess

Step-by-step explanation:

Indi: 2-3= -1

Mark: -7 - (-4)= -7+4 which is -3

Tess: -1-(-7)= -1+7 which is 6

Tess wins the prize since, 6 is the biggest

Indi comes in second since, it's bigger than -3

Mark come in last place

Answer:

f(x) = 2,600,000(0.989)x

Step-by-step explanation:

The slope of a line perpendicular to  y=-4x + 16 is (1/4), so the correct option is the first one (counting from the top).

The general linear equation in the slope-intercept form is:

y = a*x + b

Where a is the slope and b is the y-intercept.

Let's say that we have another line:

y = c*x + d

These two lines are perpendicular if and only if the slope of one of the lines is equal to the inverse of the opposite of the other line.

So, the two lines:

y = a*x + b

y = c*x + d

Are perpendicular only if c = -(1/a).

Now, we want to find a line perpendicular to:

y=-4x + 16

Then the slope of that perpendicular line must be:

-(1/-4) = (1/4)

So the slope of a line perpendicular to  y=-4x + 16 is (1/4).

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