Tina rides the bus to school, Theo bikes to school, and Tony walks to school. Their probabilities of being the first one to school are as follows:
\text{P(Tina is first}) = 0.05P(Tina is first)=0.05start text, P, left parenthesis, T, i, n, a, space, i, s, space, f, i, r, s, t, end text, right parenthesis, equals, 0, point, 05
\text{P(Theo is first}) = 85\%P(Theo is first)=85%start text, P, left parenthesis, T, h, e, o, space, i, s, space, f, i, r, s, t, end text, right parenthesis, equals, 85, percent
\text{P(Tony is first}) = \dfrac{1}{10}P(Tony is first)=
10
1
​

Answer:

50

Step-by-step explanation:

The sum of the angles of a triangle is 180

A +B +C = 180

90 +4x+ 7x-20 =180

Combine like terms

70+ 11x = 180

Subtract 70 from each side

70-70+11x = 180-70

11x=110

Divide each side by 11

11x/11= 110/11

x = 10

We want to find angle C

C = 7x-20

   = 7*10-20

   = 70-20

   = 50

Answer:

50°

Step-by-step explanation:

7x - 20 + 4x + 90 = 180

11x = 180 - 70

11x = 110

x = 10

ACB: 7(10) - 20 = 50

Answer:

Number =108

Step-by-step explanation:

2((1/4x)-7)=(1/3x)+4

Answer:

its 108!!

2(7) -1/4x = 4+1/3x

Answer:

64,125 I think

Step-by-step explanation:

7%x 5 years =35%

35% of 47, 500 is 16625

16625 + 47,500=64,125

Answer:

about $66,621

Step-by-step explanation:

Since its an increase in salary, we want 0.07+1 = 1.07 (if he was losing his salary, it instead would be 0.07-1, but that's not the case here)

Then we plug it in as 47,500(1.07)^x

he's expecting what would he get in his fifth year at the firm. So let's set x = 5.

47,500(1.07)^5 = $66,621.20721 or ≈ $66,621 to the nearest dollar.

Note: This is how I'm doing it in High School. So if this is incorrect, I'm sorry.

Answer:

0.07

Step-by-step explanation:

Step 1:  Convert into a number

7% / 100

0.07

Answer: 0.07

Answer:

when they have equal sides and the exact shape and the same angle measures. they have tobe the same size.

Step-by-step explanation:

For example, when you have a square with sides 3 cm, then you compare it with the exact copy of the square. These squares are congruent. Two figures are congruent if and only if they have the exact same shape and the exact same size. If the corresponding sides of two figures with the same shape have the same length, then the two figures are congruent.

The figures that appear be congruent have all sides as equal and in the exact shape and can measure the same angles. They have the same size.

The instruments is those figures and objects that have the same size and shape. The meaning of the work congruent is that they are identical to each other and in an agreement and harmony

As per the example, the square with the sides of 3 cm, then you can compare it with the exact copy of the square. These squares are then congruent.

Find out more ifirmation about the congruement.

brainly.com/question/1675117

Answer:

Area of blank is 326.56m²

Step-by-step explanation:

For a better and pictorial understanding of this problem please see attached for your reference.

Given data

Let the flower bed be the small circle with diameter d= 22m

Radius of small circle = 22/2=11m

Let the side walk be the big circle with diameter D= 4+4+22=30m

Radius of big circle =30/2 = 15m

We know that the area of circle

A1=πr²

Hence area of flower bed

A1=3.14*11²

A1= 379.94m²

Also area of side Walk

A2= πr²

A2= 3.14*15²

A2= 706.5m²

Area of blank

A3= area of side walk - area of flower bed

A3= A2-A1

A3= 706.5-379.94

A3= 326.56m²

Answer:151

Step-by-step explanation:

Answer:

79 °F

Step-by-step explanation:

Newton’s Law of Cooling:

[tex]y = ae^{-kt} + c[/tex]

Data

Replacing into the equation:

[tex]y = 84e^{-0.23 \times 15} + 76[/tex]

y = 79 °F

Answer:

The correct answer is 78.7°F

Step-by-step explanation:

Got it right on Edge 2020

Answer:

Step-by-step explanation:

Answer:

the total cost for the bench and the table minus the cost of the garden table which is $988 - 88 =900

Answer: Their total budget last year was $40,000.

Step-by-step explanation:

Given : The Smiths spend 6% of their budget on entertainment.

i.e. , The money they spend on entertainment = 0.06 x ( Total budget)

{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)

Since , this year they plan to spend $2,580 on entertainment.

i.e. 0.06 x ( Total budget )  = $2,580

On dividing both sides by 0.06 , we get

( Total budget )  = $2,580 ÷ 0.06

=  $43,000

Thus , their total budget for this year = $43,000

Also, Their total budget this year is $3,000 more than last year.

Therefore , their last year total budget = ( Total budget this year ) - $3000

= $43,000 - $3000

= $40,000

Hence, their total budget last year was $40,000.

Answer:

-4.4

Step-by-step explanation:

In order to do this, we need to move the variables to one side, and the numerical values to the other.

-20-7x=-2x+2

We can do this by adding 7x to both sides first

-20=5x+2

Now we can subtract 2 from both sides.

-22=5x

Next, we can divide each side by 5.

x=-22/5

Then we simplify the fraction

x=-4.4

Answer:

x = -4.4

or

x = 22/-5

Step-by-step explanation:

-20-7x = -2x+2

-7x = -2x+20+2

2x-7x = 22

-5x = 22

x/-5 = 22/-5

x = -4.4

or

x = 22/-5

Answer:

D

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Add 5 to each side.

3x-5+5=1+5

3x=6

Divide each side by 3.

Your answer would be x=2.

Answer:

X=2

Step-by-step explanation:

Based on the proportion of Chinese food menus Maura has already received (3 out of 15),we would expect her to receive approximately 4 Chinese food menus in the next batch of 20 menus.

To solve this, we look at the probability of Maura receiving a Chinese food menu by using the proportion of Chinese menus she has already received.

This initial probability is 3 out of 15, which simplifies to 1 out of 5. Therefore, we'd expect to receive the same proportion from the next set of menus.

To predict the number of Chinese food menus in the next 20, we multiply the total number of new menus by the probability of each being Chinese:

20 menus * (1/5 probability of Chinese) = 4 Chinese menus

Answer:

D.

Step-by-step explanation:

Using proportions, it is found that the marginal distribution is:

---------------------------

[tex]P = \frac{330}{365} \times 100\% = 90\%[/tex]

A similar problem is given at https://brainly.com/question/24372153

The marginal distribution of train arrival status shows that approximately 90% of the time the train is on-time and 10% of the time it is delayed. This is calculated by taking the frequency of each arrival status and expressing it as a percentage of the total number of days recorded by James.

James has been keeping track of the relationship between weather conditions and whether the downtown train runs on time.

To find the marginal distribution of train arrival status in percentages, we need to see the frequency of on-time and delayed trains irrespective of the weather conditions and then express these frequencies as a percentage of the total number of days recorded.

To calculate the on-time percentage:

To calculate the delayed percentage:

Therefore, the marginal distribution of arrival status is approximately 90% on-time and 10% delayed.

Answer:

length 42 cm and width 26 cm

Step-by-step explanation:

Given

Since Brian tied 136 foot rope around the perimeter , hence perimeter of house is 136 foot.

Given that shape of house is rectangular.

formula to calculate perimeter of rectangle can be used which is 2*(L+B)

where L is length of rectangle and B width of rectangle

Let the L and B be length of rectangular side of house

According to question

length of house is 10 feet less than twice the width of house

mathematically it can be represented as

L = 2*B - 10  --->eq. 1

Perimeter of house = 136 feet

using formula of Perimeter of rectangle

136 = 2*(L+B)

substituting the value of length in terms of width from eq. 1 in formula of perimeter

=> 136/2 = 2*B - 10 + B  (2*B+ B = 3B)

=> 68 = 3*B - 10

=> 78 = 3*B

B = 78/3 = 26

Therefore B which is width = 26 CM

length = 2*B - 10= 26*2 - 10 = 52-10=42

length of house = 42  cm

Hence dimension of Brian's house is length 42 cm and width 26 cm

Answer:

if the clubhouse is 4 sided then the length would be 25 ft

Step-by-step explanation:

15x2=30

80-30=50

50/2=25

Answer:

Because a fraction is added to a whole number

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Since BD is similar to GI, the ratio of the sides of the triangles is 27:3=9:1. This means that BC is 9 times larger than BH, or 4*9=36 units long. Hope this helps!

Answer:

C. 41667 people

Step-by-step explanation:

750 * 500 =  375000 / 9 = 41666.666 = 41667

the answer is c.) 41,667 people

Answer:

Decimal form = 2.4 / Fraction form = 1/4

Step-by-step explanation:

We know that the farmer sold 9.6 kilograms of apples and pears where 3/4 of that weight was apples. That means that 1/4 of the 9.6 kilograms were pears. Lets divide 9.6 by 1/4 to get our answer.

9.6 / 1/4 = 2.4

Decimal form = 2.4

Fraction form = 1/4

Answer:

3/12

Step-by-step explanation:

sorry if this is wrong I'm not an expert at math

Answer:

I can conclude that Sally went down the slide. I used deductive reasoning to get my answer. Sally said that if it was sunny, she would go to the park. She also said that if she does go to the park, she will go down the slide. Since Sally did go to the park, I know that she did go down the slide. Based on the information I have, I can use deductive reasoning to get to my answer.

Step-by-step explanation:

Based on Sally's conditions and the law of syllogism, since it's sunny, we can conclude Sally will go to the park and go down the slide.

From Sally's statements, since the next day is sunny, we can conclude that Sally will go to the park and go down the slide. This conclusion is based on the law of syllogism in logic, which allows us to link two related conditional statements. In this scenario, the first conditional statement is 'If it's sunny, I will go to the park', and the second is 'When I go to the park, I go down the slide'. As it's sunny, the law of syllogism lets us link these conditions to infer that Sally will indeed go down the slide at the park.

https://brainly.com/question/33510890

#SPJ2

To write three equations whose solution is x=3.5, you can use different algebraic expressions. Three examples are x + 2 = 5.5, (2x - 5) / 3 = 1.8333, and x^2 - 12x + 42 = 0.

To write three equations whose solution is x=3.5, we can use different algebraic expressions to represent the same value. Here are three examples:

https://brainly.com/question/34695214

#SPJ3

Answer:

10

Step-by-step explanation:

Answer:

The value of angle A is 19.415 degrees.

Explanation:

Let's recalculate using the Law of Cosines to find the measure of angle[tex]\(A\)[/tex] in triangle [tex]\(ABC\)[/tex].

Given:

- [tex]\(a = 3.4\)[/tex] cm

- [tex]\(b = 7.9\)[/tex] cm

- [tex]\(c = 5.3\)[/tex] cm

We want to find angle [tex]\(A\)[/tex]. To use the Law of Cosines, we first need to find angle [tex]\(C\)[/tex]. We can use the Law of Cosines again:

[tex]\[ a^2 = b^2 + c^2 - 2bc \cos(A) \][/tex]

[tex]\[ (3.4)^2 = (7.9)^2 + (5.3)^2 - 2(7.9)(5.3) \cos(A) \][/tex]

[tex]\[ 11.56 = 62.41 + 28.09 - 83.54 \cos(A) \][/tex]

[tex]\[ 11.56 = 90.5 - 83.54 \cos(A) \][/tex]

[tex]\[ 83.54 \cos(A) = 90.5 - 11.56 \][/tex]

[tex]\[ 83.54 \cos(A) = 78.94 \][/tex]

[tex]\[ \cos(A) = \frac{78.94}{83.54} \][/tex]

[tex]\[ \cos(A) \approx 0.944 \][/tex]

Now, to find the measure of angle \(A\), we take the inverse cosine (cos⁻¹) of 0.944:

[tex]\[ A \approx \cos^{-1}(0.944) \][/tex]

[tex]\[ A \approx 19.415° \][/tex]

Answer:

$3.23 per hour

Step-by-step explanation:

4.5+4.5+3.45+3.45+3.45+3.45=19.35

19.35/6=$3.225 or $3.23 per hour