Among 170 households surveyed, 44 have a video camera, 40 have a snapshot camera, 51 have binoculars, 9 have a video camera and a snapshot camera, 8 have a snapshot camera and binoculars, and 5 have all three products. what is the probability that a household will have a snapshot camera or binoculars? express the answer as a fraction.

Answers

Answer 1

it would be 48 would be

Related Questions

Help!
During exercise, the recommended maximum heart rate in beats per minute is modeled by the formula, M = 176 – 0.8A, where M is the maximum heart rate and A is the person’s age. Solve the formula for A. At what age would you have a recommended maximum heart rate in beats per minute of 140?

A) 40 years
B) 50 years
C) 25 years D)
45 years

Answers

D) 45

140= 176-0.8A
+.8A. +0.8A
140 + .8A = 176
-140. -140
.8A= 36
/.8. /.8
A = 45

What percent of 28.8 is 3.6?

Answers

divide them:

3.6/28.8 = 0.125

0.125 = 12.5%

Express the volume of a cone, V, as a function of its radius, r, if the radius is 1/5 of the height.

Answers

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\quad \begin{cases} r=radius\\ h=height\\ ------\\ r=\frac{h}{5}\implies 5r=h \end{cases}\implies V=\cfrac{\pi r^25r}{3} \implies V=\cfrac{5\pi r^3}{3}[/tex]

24x2+25x−47=(−8x−3)(ax−2)−53

Answers

hello :
the question is : find : a
24x²+25x−47=(−8x−3)(ax−2)−53
= -8ax²+16x-3ax +6-53
= -8ax²+16x-3ax - 47

24x²+25x−47= -8ax² + (16-3a)x -47
so : -8a = 24
16-3a =25
a = 24/-8 = -3
16-3(-3) =25...right
conclusion : a = = -3

Sales tax on an item is directly proportional to the cost of the item purchased. If the tax on a $500 item is $30, what is the sales tax on a $900 item?

Answers

30 / 500 = x / 900....$ 30 tax / 500 item = $ x tax on 900 item
cross multiply
(500)(x) = (900)(30)
500x = 27000
x = 27000/500
x = 54 <===

Answer: $54

Step-by-step explanation:

The equation to show the direct variation in two quantities x and y is given by :-

[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

The tax on a $500 item is $30.

Let 'x' be the sales tax on a $900 item.

Then , we have the following equation:-

[tex]\dfrac{x}{900}=\dfrac{30}{500}\\\\\Rightarrow\ x=\dfrac{900\times30}{500}\\\\\Rightarrow\ x=54[/tex]

Hence, the sales tax on a $900 item = $54

In a study of blood donors, 200 were classified as group O and 250 had a classification other than group O. What is the probability that a person will have group O blood? (Enter your answer as a fraction.)

Answers

Probability of O = (number with O)/(Total number of cases)

It always works like this.

P(O) = 200/450 = 4/9

-1/9 - (-2/15)
write in simplest form

Answers

-1/9 - (-2/15)
= -1/9 +2/15
= -5/45 + 6/45
= 1/45

The Kwon family has a rainwater catchment system they use to water their garden. After 3 days without rain, the depth of water in the tank is 63 inches. After 5 days, the depth is 57 inches. What will the depth of water in the tank be after 17 days?

Answers

f(d) = 72 - 3d

if d = 3
f(d) = 72 -3d = 72 - 3(3) = 72 - 9 = 63 inches

if d = 5
f(d) = 72 -3d = 72 - 3(5) = 72 - 15 = 57 inches

so
if d = 17
f(d) = 72 -3d = 72 - 3(17) = 72 - 51 = 21 inches

answer
the depth of water in the tank will be 21 inches after 17 days

63-57 = 6 inches in 2 days

6/2 = 3 inches per day

17-5 = 12

12*3 =36 inches in 12 days

57-36 = 21 inches after 17 days

How many millimeters are there in 5 meters?

Answers

1 meter = 1000 mm

so 5 meters = 5 x 1000 = 5,000 millimeters

There are 5000 milimeters in 5 meters because the prefix milli stands for 1000.

16 less than one-fourth of some number, w" can be expressed algebraically as

Answers

"16 less"= -16

"one-fourth some number w"= w/4

So together

w/4-16

Add or subtract the following mixed numbers using the first method. Be sure your answers are in mixed number format and reduced to lowest terms. 3 3/8 + 2 1/6 =

Answers

we have the number here are 3 3/8 and 2 1/6
by using the first method,
multiplying 3/8 with 3/3 and 1/6 with 4/4 we get 9/24 and 4/24 so,
3 9/24 + 2 4/24 = (3+2) and (9/24 + 4/24)
when adding 3 and 2 we get 5 and adding 9/24 and 4/24 we get 13/24
so the answer is 5 and 13/24

Round to the nearest while decimal 6.7

Answers

If you meant "[tex]whole [/tex]" instead of "[tex]while [/tex]"

Then, [tex]six [/tex] is rounded [tex]1ten[/tex] & [tex]seven[/tex] is rounded to [tex]ten [/tex]

Your answer: [tex]7[/tex]

[tex]good\\luck \\ on \\ your \\ assignment \\ \\ \\ \\ enjoy \\ your \\ day \\ \\ \\ \\ \\ \\ MeIsKaitlyn :)[/tex]

Suppose y varies directly with x, and y = 8 when x = –6. What direct variation equation relates x and y? What is the value of y when x = –2?

Answers

B -4/3=-1.33 and 8/3=2.6666

Answer:

Direct variation states that the relationship between two variables in which one is a constant multiple of the other one.

In other words, when one variable changes the other one changes in proportion to the first.

i.e, if y is directly proportional to x then, the equal will be of the form is, y= kx where k is the constant of variation.

Given: y varies directly with x, and y = 8 when x = –6

By definition of direct variation,

y = kx

Substitute the values of x = -6 and y=8 to solve for k;

8 = -6k

Divide both sides by -6 we get;

[tex]k = -\frac{8}{6} = -\frac{4}{3}[/tex]

Now, to find the value of y when x = 2 we have;

[tex]y = -\frac{4}{3}x[/tex]

Substitute the given value of x =-2 we have;

[tex]y = -\frac{4}{3} \cdot -2 = \frac{8}{3}[/tex]

Therefore, the direct variation related x and y is, [tex]y = -\frac{4}{3}x[/tex]

and the value of [tex]y =\frac{8}{3}[/tex] when x = -2

Evaluate the limit, if it exists. (if an answer does not exist, enter dne.)lim h → 0 (x + h)3 − x3h

Answers

Presumably, the limit is

[tex]\displaystyle\lim_{h\to0}\frac{(x+h)^3-x^3}h[/tex]

Now, if you're familiar with the definition of the derivatives, you'll notice that this is the limit form of the derivative of the function [tex]f(x)=x^3[/tex], which you may also know to be [tex]3x^2[/tex]. But let's assume you don't know that just yet, and that it's actually the result you intend to find.

Expand the numerator:

[tex]\dfrac{(x+h)^3-x^3}h=\dfrac{(x^3+3x^2h+3xh^2+h^3)-x^3}h=\dfrac{3x^2h+3xh+h^3}h[/tex]

Now, when [tex]h\neq0[/tex], we can divide through by the lowest power of [tex]h[/tex]. We can do this because we're considering the limit as [tex]h[/tex] is *approaching* 0, and not when it actually takes on the value of [tex]h=0[/tex].

[tex]\dfrac{(x+h)^3-x^3}h=3x^2+3xh+h^2[/tex]

Now, as [tex]h\to0[/tex], we can see only the leading term remains, so that

[tex]\displaystyle\lim_{h\to0}\frac{(x+h)^3-x^3}h=3x^2[/tex]

as expected.

Final answer:

To evaluate the limit of (x + h)³ - x³h as h approaches 0, we can expand the expression using the binomial theorem and simplify. The resulting expression can be factored to show that as h approaches 0, the entire expression becomes 0. Therefore, the limit is 0.

Explanation:

To evaluate the given limit, we can start by expanding the expression (x + h)³ using the binomial theorem. This gives us (x³ + 3x²h + 3xh² + h³) - x³h. Simplifying further, we can cancel out the x³ terms and obtain 3x²h + 3xh² + h³ - x³h. Now, we can factor out h from the expression to get h(3x² + 3xh + h² - x³). As h approaches 0, the entire expression becomes 0, since h is being multiplied by a polynomial that does not contain h. Therefore, the limit is 0.

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How much water should be added to 14 mL of 15% alcohol solution to reduce the concentration to 7%?

Answers

Final answer:

To decrease the concentration of a 15% alcohol solution to 7%, 16 mL of water needs to be added to the original 14 mL solution.

Explanation:

The problem involves using the concept of concentration dilution that is C1V1 = C2V2, where C1 is the initial concentration, V1 is the initial volume, C2 is the final concentration, and V2 is the final volume.

First, we need to convert the percentage to decimal so, C1=0.15 (15% as a decimal) and C2=0.07 (7% as a decimal). We know V1=14 mL (the starting volume of the 15% alcohol solution) and we are solving for V2.

Insert the known values into the equation and solve for V2: (0.15)(14) = (0.07)(V2). After calculation, V2 is approximately 30 mL.

To figure out how much water should be added to reduce the concentration from 15% to 7%, subtract the initial volume from the final volume: 30 mL - 14 mL = 16 mL.

So 16 mL of water needs to be added to the 15% alcohol solution to reduce the concentration to 7%.

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Tommy has a piece of toast that has butter on one side, and he dropped it twice. Both times, it landed with the butter side up. If he drops it two more times, what is the probability that it will have landed butter side up a total of three times?

Answers

Answer: The required probability is 50%.

Step-by-step explanation: Given that Tommy has a piece of toast that has butter on one side.

The first two times dropped the piece, it landed with the butter side up.

We are to find the probability that the piece will have landed butter side up a total of three times, if he drops it two more times.

For the butter side to be landed up three times, one of the last two drops must land butter side up.

Let, 'S' denotes the sample space for the experiment of dropping the piece for the last two times, then

n(S) = 2.

Let, 'B' be the event of getting one of the last two drops landed butter side up, then

n(B) = 1.

Therefore, the probability of getting one of the last two drops landed butter side up will be

[tex]P(B)=\dfrac{n(B)}{n(S)}=\dfrac{1}{2}=50\%.[/tex]

Thus, there is 50% probability of landing butter side up a total of three times.

You place a cup of 200 degrees F coffee on a table in a room that is 67 degrees F, and 10 minutes later, it is 195 degrees F. Approximately how long will it be before the coffee is 180 degrees F? Use Newton's law of cooling: T(t)=T[a]+(T[o]-T[a])e^-kt A. 40 minutes B. 15 minutes C. 1 hour D. 35 minutes

Answers

195=67+(200-67)e^(-10k)

195=67+133e^(-10k)

128=133e^(-10k)

128/133=e^(-10k)

ln(128/133)=-10k

k=-ln(128/133)/10

T(t)=67+133e^(tln(128/133)/10), if T(t)=180

180=67+133e^(tln(128/133)/10)

113=133e^(tln(128/133)/10)

113/133=e^(tln(128/133)/10)

ln(113/133)=tln(128/133)/10

10ln(113/133)=tln(128/133)

t=10ln(113/133)/ln(128/133)

t≈42.5 minutes...

t≈40 minutes (to nearest 5 minutes? :P)

43 mins to keep it
short but other than that same as the the other guy

18000 decrease by 15% every year for 3 years

Answers

1st year= 18000 x 0.85 = 15300
2nd year= 15300 x 0.85 = 13005
3rd year= 13005 x 0.85= 11054.25

A farmer is going to plant carrots on 5 3/14 acres, corn on 4 23/42 acres and peppers on 2 5/21 acres. If each acre requires 6 bags of fertilizer, how many bags of fertilizer does the farmer need to plant all the acres?

Answers

hmm we do the same as before, you convert the mixed fractions to "improper fractions" by simply making the numerator the product and sum like you saw it

so

[tex]\bf 5\frac{3}{14}\implies \cfrac{5\cdot 14+3}{14}\implies \cfrac{73}{14} \\\\\\ 4\frac{23}{42}\implies \cfrac{4\cdot 42+23}{42}\implies \cfrac{191}{42} \\\\\\ 2\frac{5}{21}\implies \cfrac{2\cdot 21+5}{21}\implies \cfrac{47}{21}\\\\ -------------------------------\\\\ \cfrac{73}{14}+\cfrac{191}{42}+\cfrac{47}{21}\impliedby \textit{our LCD is just 42}\implies \cfrac{3\cdot 73+1\cdot 191+2\cdot 47}{42} \\\\\\ \cfrac{219+191+94}{42}\implies \cfrac{504}{42}\implies \cfrac{12}{1}\implies 12[/tex]

now, that's how many acres the farmer has in total
now, if each acre takes 6 bags of fertilizer, well, you surely know how much that is.

Find the value of y, rounded to the nearest tenth. Please help me, I'd appreciate it!!

Answers

If a secant and a tangent of a circle are drawn from a point outside the circle, then the product of the lengths of the secant and its external segment equals the square of the length of the tangent segment.

y² = 7(15+7)
y² = 7*22
y² = 154
y = √154
y = 12.4 ← to the nearest tenth

Linda deposits $500 into an account that pays simple interest at a rate of 4% per year. How much interest will she be paid in the first 4 years?

Answers

Assuming that she deposits $500 and forgets about it, here is what she would get after 4 years:

Year 1 - $500 * 1.04 = $520
Year 2 - $520 * 1.04 = $540.80
Year 3 - $540.80 * 1.04 = $562.432
Year 4 - $562.432 * 1.04 = $584.92928

Aftere four years. Linda would be paid $84.93

this figure is a regular 12 sided polygon and measure of a angle is 4

Answers

Well, a 12 sided polygon is called a dodecagon. I hope this helps!

A rectangular garden has a length of 12 feet. You need 36 feet of fencing to enclose the garden. What is the width of the garden.

Answers

The width of the garden would be 6 since it is looking for perimeter. I set an equation to find it:
Equation and steps:
12+12+x+x=36 x= width of the garden
24+2x=36
2x=12
x=6

The width of the rectangular garden is 6 feet with a perimeter of 36 feet.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, A rectangular garden has a length of 12 feet.

Assuming the width of the garden to be x feet.

We know the perimeter of a rectangle is 2(length + width).

∴ 2(12 + x) = 36.

24 + 2x = 36.

2x = 12.

x = 6 Or the width is 6 feet.

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A total of 634 tickets were sold for the school play. They were either adult tickets or student tickets. There were 66 fewer students tickets sold than adult tickets. Him many adult tickets were sold?

Answers

x= student tickets
y= adult tickets

x+y=634
y=x-66

x+y=634 x-y=66 2x=700 x=350

350+y=634 y=284

A total of 634 tickets were sold for the school play. They were either adult tickets or student tickets. There were 66 fewer student tickets sold than adult tickets. How many adult tickets were sold?
So say adult sold would be x, then student sold would be x-66
add them

x+x-66=634 solve for x
2x=700 divide each side by 2
x=350
so 350 adult and 350-66=284 student

The first card selected from a standard 52-card deck was a king. if it is not returned to the deck, what is the probability that a king will be drawn on the second selection?

Answers

there would be 3 kings left and 51 cards left

so it would be a 3/51 which reduces to 1/17 probability

Final answer:

The probability of drawing a king from a 52-card deck on the second draw, given that a king was drawn on the first draw and was not replaced, is 1 in 17.

Explanation:

The question pertains to the concept of probability, specifically with regards to sampling without replacement in a 52-card deck. First, let's identify the elements: there are 4 kings in a 52-card deck. When one king is drawn and not replaced, there are now 51 cards left with 3 kings.

The probability of drawing a king on the second draw, with the first king not replaced, is the number of favorable outcomes (drawing a king) divided by the total number of outcomes (total cards left). Hence, the probability is 3/51 = 1/17.

This means that there is 1 chance in 17 of drawing a king on the second draw if a king has been drawn on the first draw and not replaced.

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I really suck at math. please help =)

Answers

check the picture below.

What is the cube root of 0?

Answers

Answer: 0³=0, Zero cannot be squared cubed or Rooted, added, substance, multiplied, divided etc. the answer is always 0.

The cube root of 0 is 0; this is because 0 multiplied by itself three times is 0.

The cube root of 0 is simply 0. This is because any number, when multiplied by itself three times, which is what we are doing when we take the cube of a number, that results in 0, must have been 0 to start with. The cube root operation is asking us what number, when cubed, gives us the original number, and in the case of 0, 0³ equals 0. Therefore, the cube root of 0 is 0.

You have just purchased a 10-year, $1,000 par value bond. the coupon rate on this bond is 8 percent annually, with interest being paid each 6 months. if you expect to earn a 10 percent simple rate of return on this bond, how much did you pay for it?

Answers

V = I (PVIFA kd, n) + MV (PVIF kd, n)

I=(1000×0.08)/2=40

(PVIFA kd, n)=((1−(1+0.1÷2)^(−2×10))
÷(0.1÷2))

Mv =1000

(PVIF kd, n) =1÷(1+0.1÷2)^(2×10))

So the answer is
V=40×((1−(1+0.1÷2)^(−2×10))
÷(0.1÷2))+(1,000÷(1+0.1÷2)^(2×10))
=875.38...answer

Regroup to express the number in a different way , please help

Answers

25.3 = 1 ten + 15 ones + 3 tenths

hope it helps

james put $1000 in a 2-year CD paying 7% interest, compounded monthly.

Answers

To find the future value of this investment the formula is
A=p (1+r/k)^kt
A future value?
P present value 1000
R interest rate 0.07
K compounded monthly 12
T time 2 years
A=1,000×(1+0.07÷12)^(12×2)
A=1,149.81

Answer with explanation:

Principal = $ 1000

Time = 2 years

Rate of Interest = 7 %

Since of rate of interest is compounded monthly,

then, [tex]R=\frac{7}{12}\\\\T=2 \times 12 =24[/tex]

Amount after 2 years

[tex]=P\times [1 +\frac{R}{100}]^T\\\\=1000 \times [1+\frac{7}{1200}]^{24}\\\\=1000 \times [\frac{1207}{1200}]^{24}\\\\=1000 \times (1.00583)^{24}\\\\=1000\times 1.14972\\\\=1149.72[/tex]

Amount after 2 years, when rate of interest, is compounded monthly=$ 1149.72

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