If the probability of a student spending time reading is 0.10, the probability of spending time watching TV is 0.90, and the probability of spending time reading and watching TV is 0.03, what is the probability of a student spending time reading or watching TV?

Answers

Answer 1

Answer:

0.103

Step-by-step explanation:

Answer 2

Answer:

0.103

Step-by-step explanation:


Related Questions

Point O is on line RS. Find the
measure of angle SOP.
Solution:​

Answers

Answer:

104°

Step-by-step explanation:

a straight line is 180°, so subtract angle ROP(76°) from it to get angle SOP

hi guys could you please help me with this problem?

Answers

Answer:

7

Step-by-step explanation:

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a 20 in tall hexagonal pyramid has a regular hexagon base that can be divide into six equilateral triangles with side lengths of 12 in, as shown below find the area of the hexagon base rounded to the nearest hundredth

Answers

Answer:

c

Step-by-step explanation:

The area of hexagon base of hexagonal pyramid is option (A) 374.12 square inches.

What is a hexagonal pyramid?

A pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point. All sides are equal, the angles between the sides are 120 degrees.

For the given situation,

The base of the hexagon, a = 12 in

The formula of the area of hexagon base is

[tex]A=\frac{3\sqrt{3}(a)^{2} }{2}[/tex]

On substituting the above values,

⇒ [tex]A=\frac{3\sqrt{3}(12)^{2} }{2}[/tex]

⇒ [tex]A=\frac{3\sqrt{3}(144 )}{2}[/tex]

⇒ [tex]A=374.12[/tex]

Hence we can conclude that the area of hexagon base of hexagonal pyramid is option (A) 374.12 square inches.

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In the figure, AC = 15 ft, m∠ABC = 60°, m∠ADC = 45°, and m∠AEC = 30°. Find each of the following measures. Show your work or explain your reasoning.

Answers

Answer:

a) BC = 8.66 feet

b) AD = 21.2134 feet

c) EC = 25.9785 feet

Step-by-step explanation:

a)

To find the length of BC, we just need to use the tangent relation of the angle ABC, where the opposite side is the length of AC and the adjacent side is the length of BC:

tangent(60) = AC / BC

1.7321 = 15 / BC

BC = 15 / 1.7321 = 8.66 feet

b)

To find the length of AD, we just need to use the sine relation of the angle ADC, where the opposite side is the length of AC and the hypotenusa is the length of AD:

sine(45) = AC / AD

0.7071 = 15 / AD

AD = 15 / 0.7071 = 21.2134 feet

c)

Similarly to the procedure in letter a), to find the length of EC, we just need to use the tangent relation of the angle AEC, where the opposite side is the length of AC and the adjacent side is the length of EC:

tangent(30) = AC / EC

0.5774 = 15 / EC

EC = 15 / 0.5774 = 25.9785 feet

write the three expressions that are equivalent ro 70/ -5.

Answers

Answer:

-50-4, -27×2, 54×-1

Step-by-step explanation:

Need help ASAP! 35 points

Answers

Answer:

[tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]

Step-by-step explanation:

Since [tex]\sqrt[3]{x^5} = x^\frac{5}{3}[/tex], the solution is [tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]

Step-by-step explanation:

Step 1:  Find the equivalent expression

[tex]\sqrt[3]{x^5y}[/tex]

[tex]\sqrt[3]{x^5} * \sqrt[3]{y}[/tex]

[tex]x^\frac{5}{3}*y^\frac{1}{3}[/tex]

[tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]

Answer:  Option B

The triangular pyramid has identical equilateral triangles as its faces. Find the surface area of the pyramid.

Alternative Text

A. 113.4 ft2
B. 140.4 ft2
C. 226.8 ft2
D. 631.8 ft2

Answers

Answer:

B. 140.4 square feet.

Step-by-step explanation:

If all faces are equilateral, and they are all congruent, that means the surface area of the pyramid is formed by 4 equal triangles, including the base.

We just need to find the area of one triangle and then multiply it by 4.

According to the image, the height of a triangle face is [tex]h=7.8 \ ft[/tex], and its base is [tex]b=9 \ ft[/tex]. So, the area is

[tex]A=\frac{1}{2} (b \times h)[/tex]

[tex]A=\frac{1}{2}(7.8 \times 9) =35.1 \ ft^{2}[/tex]

Then, the total surface area of the pyramid is

[tex]S=4(35.1)=140.4 \ ft^{2}[/tex]

Therefore, the right answer is B. 140.4 square feet.

Solve for x and y in the given the 45° - 45° - 90° triangle shown above. When applicable, simplify all radicals and show your work.

Answers

Answer:

x = 5.6 i guess

Step-by-step explanation:

use cos 45 = x/8

maybe

BRAINLIEST ASAP Martha places a triangle at (5, 2) on a coordinate plane. If she wants to place a square 7 points away, what might be the coordinates of the square?

Answers

Answer:

the coordinates would be (12,2) Hope it helps :)

Step-by-step explanation:

its just that

Solve the equation using the distributive property and properties of equality. -5(a + 3) = -55 What is the value of a? a 8 b -14 c 14 d -8

Answers

Answer:

It's C. 8

I  took the edge test.

Answer:

C. 8

Step-by-step explanation:

Edge 2021

In ΔHIJ, i = 900 cm, ∠H=95° and ∠I=28°. Find the length of j, to the nearest centimeter.

Answers

Answer:

J=1607.77cm

Step-by-step explanation:

Answer:

1608

Step-by-step explanation:

6. The area of a rectangular painting is given by the trinomial x2 + 2x - 15. What are the possible (1 point)
dimensions of the painting? Use factoring,

Answers

Answer:

(x+5)(x-3) = x^2+2x-15

Step-by-step explanation:

since there is a -15 at the end and a +2x in the center, you want two factors of 15 which differ by 2. Those are 5 and 3. Now, you want one + and one -, so +5-3 = +2

Use fraction operations to compare the regions of Canada in 5 different ways. Make sure that one comparison has 3 or more operations, one comparison involves 2 operations, and each of the four operations is used somewhere.
The fractions are Atlantic = 1/18
West = ¼
Territories = ⅓
Quebec = ⅙
Ontario = 1/9

Answers

Answer:

1/3,1/6,1/4

Step-by-step explanation:

atlantic and ontario do not compare

the others do

Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation.

Answers

Answer:

x = sine 70° / 8

Step-by-step explanation:

When 240 sixth grade students were polled results showed that 96 students were dissatisfied with the music played at the school dance what percentage of sixth grade students does this represent
(use at least 2 strategies)
(Ratios and Proportional Relationships Percents)

Answers

Answer: 40%

Step-by-step explanation:

Total students= 240

Dissatisfied students= 96

To get the percentage of sixth grade students that were dissatisfied with the music played in the school, we divide 96 by 240 and multiply the result by 100. This can be written as:

= 96/240 × 100

= 0.4 × 100

= 40%

The percentage represented is 40%

please help me and please help me do it in a way i could understand :) ty

Answers

X = 70 because vertical angles are the same
And the next pair of angles are 20° each please mark me brainliest it would be pretty cool

A random sample of 850 births included 434 boys. Use a 0.10 significance level to test the claim that 51.5​% of newborn babies are boys. Do the results support the belief that 51.5​% of newborn babies are​ boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Upper H 0​: pequals0.515 Upper H 1​: pnot equals0.515 Your answer is correct.B. Upper H 0​: pequals0.515 Upper H 1​: pgreater than0.515 C. Upper H 0​: pnot equals0.515 Upper H 1​: pequals0.515 D. Upper H 0​: pequals0.515 Upper H 1​: pless than0.515 Identify the test statistic for this hypothesis test.

Answers

Final answer:

The null hypothesis is that 51.5% of newborn babies are boys, and the alternative hypothesis is that the percentage is different from 51.5%. The test statistic, used to decide whether to reject or fail to reject the null hypothesis, is calculated using the observed percentage of boys and the sample size.

Explanation:

The question is about testing a hypothesis about the proportion of boys born (51.5%). For this, we set our null and alternative hypotheses. The null hypothesis (H0) being tested here is that the true proportion of boys is 51.5% (p = 0.515), while the alternative hypothesis (H1) is that the proportion of boys is not 51.5% (p ≠ 0.515). The correct choice here would be A: Upper H0: p=0.515, Upper H1: p ≠ 0.515.

To calculate the test statistic, we would use the formula [(p' - p) / sqrt[(p(1 - p) / n]], where p' is the observed proportion in our sample (434 boys out of 850 births or 0.51), p is the claimed proportion (0.515), and n is the sample size (850). After calculating this, you would compare it to a critical value associated with the 0.10 significance level to decide whether to reject or fail to reject the null hypothesis.

Without the specific calculations, I can't tell you what your final test statistic will be, but this should guide you in the right direction.

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Final answer:

The null and alternative hypotheses are H₀: p = 0.515 and H₁: p ≠ 0.515. The test statistic for this hypothesis test is the z-score.

Explanation:

The null and alternative hypotheses for this test are:

H₀: p = 0.515H₁: p ≠ 0.515

The test statistic for this hypothesis test is the z-score. To calculate the z-score, you can use the formula:
z = (p' - p₀) / sqrt((p₀ * (1 - p₀)) / n)

Substituting the given values:
z = (434/850 - 0.515) / sqrt((0.515 * (1 - 0.515)) / 850)

Calculating the z-score, we can compare it to the critical value(s) from the standard normal distribution to make a conclusion about the null hypothesis.

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Suppose you purchase a $500 bond with a 6.5% coupon. What is the periodic
interest rate of this bond?
O A. 6.5%
O B. 0.5%
O C. 3.25%
O D. 1.5%

Answers

Answer:

C. 3.25

Step-by-step explanation:

A was wrong I seen the real answer which was C

(Sorry forgot to put picture)
What is the value of x?

A. X=3
B. X=8.5
C. X=6.5
D. X=14

Answers

4x+8x+12=180
12x+12=180 (combine like terms)
12x=168 (subtract 12 from both sides)
X=14 (divide 12 from both sides)

Also this one pls help

Answers

Answer:

Option 3

Step-by-step explanation:

Answer:

From my understanding the answer is supposed to be 6.. but since that's not an option I think it's option 4.

Step-by-step explanation:

an element with a mass of 540 grams decays by 17.9% per minute to the nearest tenth of a minute how long will it be until there are 90 grams of the element remainibg

Answers

Answer:

It'll take approximately 9.1 minutes

Step-by-step explanation:

The decay of this element can be modeled by the following expression:

m(t) = 540*(1 - 0.179)^t

Where m is the mass of the element in a given minute t. This expression comes from a compounded interest formula, with negative rate, since they will work in the same manner. Therefore to find how long until it reaches 90 g, we need to make m = 90 and solve for t.

90 = 540*(0.821)^t

(0.821)^t = 90 / 540

(0.821)^t = 1/6

ln(0.821^t) = ln(1/6)

t*ln(0.821) = ln(1) - ln(6)

t*ln(0.821) = - ln(6)

t = -ln(6)/ln(0.821) = 9.08452

It'll take approximately 9.1 minutes

Answer:the correct answer is 9

Step-by-step explanation:

Willy has compounded monthly to invest his summer earnings of $4259 in the
Rock Solid Bank. The bank is offering 6%. Willy plans to use the money to go to
college in 5 years. How much will he have in 5 years?

Answers

We have been given that Willy has compounded monthly to invest his summer earnings of $4259 in the  Rock Solid Bank. The bank is offering 6%. We are asked to find the amount of money will be after 5 years.

We will use compound interest formula to solve our given problem.

[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year.

t = Time in years.

[tex]6\%=\frac{6}{100}=0.06[/tex]

Since interest is compounded monthly, so [tex]n=12[/tex] and [tex]P=4259[/tex].

[tex]A=\$4259(1+\frac{0.06}{12})^{12\cdot 5}[/tex]

[tex]A=\$4259(1+0.005)^{60}[/tex]

[tex]A=\$4259(1.005)^{60}[/tex]

[tex]A=\$4259(1.3488501525493161)[/tex]

[tex]A=\$5744.752799707\approx \$5744.75[/tex]

Therefore, Will will have approximately [tex]\$5744.75[/tex] in 5 years.

What is the distance between the point (-25, 10) and the origin?

Answers

Answer:

35

Step-by-step explanation:

The origin is (0,0). To get to it from (-25,10) you would add 25 which would get you to (0,10,). Then you subtract 10 to get you to the origin. 10+25=35

Who knows the correct answer to this???

Answers

Answer:

A. y = 3x + 1

Step-by-step explanation:

Slope-intercept form y = mx + b

m = slope

b = y - intercept

When preparing for Geometry class, Matt labeled a right triangle. Matt’s teacher told him that he made some mistakes. What is one mistake that matt made ?

Answers

Answer:

Vertices (or angles) are labeled with Capital letters

Step-by-step explanation:

Angles are labeled with Capital letters.

The sides themselves can be labeled with lowercase letters, but the vertices of the  triangles must be labeled with Capital letters

Which of the following is a complex number?

Answers

Answer:

The correct answer is B.





Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral triangle base.
A) 130 yd2
B) 150 yd2
C) 170 yd2
D) 190 yd2

Answers

D as the answer think that right

For a normal distribution given a standard deviation of 3.8 in a mean of 54 what percent lies above 48
A 0.1690
B 0.0571
C 0.7660
D 0.9429

Answers

Answer:

choice D.) 0.9429

Step-by-step explanation:

Given a Normal data set

mean u = 54

standard deviation s = 3.8

we want P( X > 48)

Standardize this probability so we can use Z-scores.

P( X > 48) = P( (X - u)/s > (48 - 54)/3.8 ) = P(Z >  -1.5789)

so  I look for P ( Z > 1.5789) = 0.0571

so  P(Z > -1.5789) = 1 - P(Z > 1.5789) = 1 - 0.0571 = 0.9429

Leon runs 1 .6miles 5 day a week how many miles does he run in total in one week

Answers

8 miles
1.6 * 5 = 8

Amanda delivers 56 meals in 4 hours. At this rate, how many meals can she deliver is 7 hours?

Answers

Answer:

98

Step-by-step explanation:

On average she delivers about 14 meals per hour

If you divide 56 by 4 you get 14 ^

Then if you multiply 14 by 7 you get 98

So 56 meals for 4 hours, thats 14 meals and hour (56 divided by 4 is 14) so 14 meals times 7 hours (14 x 7) would equal 98 meals
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