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2 years ago

7

a piggy bank containing only quarters has a mass of 850 grams when empty and 7822 grams when filled if a quarter weighs 5.6 gram

s estimate the money

2 answers:

kap26 [50]2 years ago

7 0

I thinks the answer is 12.45

stira [4]2 years ago

4 0

Number of quarters= (7822-850)/5.6 = 1245

multiply that by 0.25 (worth of a quarter) to get the amount of money in US dollars

1245*0. 25=311.25$

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The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 0) and (8, 2). A small triangle

drek231 [11]

Answer:

$\dfrac{y}{x}=\dfrac{1}{4}$

Step-by-step explanation:

When the line goes through the origin (0, 0), we can say that y is proportional to x. Then the ratio of y (the vertical measure) to x (the horizontal measure) is the same as the ratio of "rise" (the vertical change) to "run" (the horizontal change).

y/x = rise/run = 1/4

The equation of the line is ...

y/x = 1/4

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2 years ago

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In the diagram shown of circle A, segments UV and UT are congruent. If

grandymaker [24]

Answer:

35°

Step-by-step explanation:

We assume that points S, T, U, V all lie on the circle.

Inscribed angle TUV intercepts long arc VST and short arc VUT. The long arc has measure 220°, so the measure of the short arc is 360° -220° = 140°.

Since chords UV and UT are the same length, point U bisects arc VUT. That means the measure of arc VU is 140°/2 = 70°.

Inscribed angle VSU intercepts arc VU, so has half the measure of the arc:

∠VSU = 70°/2

∠VSU = 35°

Read more on Brainly.com - brainly.com/question/15559971#readmore

8 0

2 years ago

Which statements are true? Check all that apply. The equation |–x – 4| = 8 will have two solutions. The equation 3.4|0.5x – 42.1

NeX [460]

Answer:

1. The equation |-x -4| = 8 will have two solutions. (True)

5. The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions. (True)

Step-by-step explanation:

1. The equation |-x -4| = 8 will have two solutions. (True)

|-x - 4| = 8

-x -4 = ±8

-x -4 = 8 and -x -4 = -8

-x = 8 + 4 and -x = -8 + 4

-x = 12 and -x = -4

x = -12 and x = 4

Therefore, it has two solutions x ∈ {-12, 4}

2. The equation 3.4|0.5x - 42.1| = -20.6 will have one solution. (False)

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

3. The equation |1/2x - 3/4| = 0 will have no solutions. (False)

|(1/2)x - 3/4| = 0

(1/2)x - 3/4 = ±0

Since ±0 is the same

(1/2)x = 3/4

x = 2*3/4

x = 3/2

Therefore, it has one solution x = 3/2

4. The equation |2x – 10| = –20 will have two solutions. (False)

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

5. The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions. (True)

|0.5x – 0.75| + 4.6 = 0.25

|0.5x – 0.75| = 0.25 - 4.6

|0.5x – 0.75| = -4.35

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

6. The equation |(1/8)x - 1| = 5 will have infinitely many solutions. (False)

|(1/8)x - 1| = 5

(1/8)x - 1 = ±5

(1/8)x - 1 = 5 and (1/8)x - 1 = -5

(1/8)x = 5 + 1 and (1/8)x = -5 + 1

(1/8)x = 6 and (1/8)x = -4

x = 6*8 and x = -4*8

x = 48 and x = -32

Therefore, it has two solutions x ∈ {48, -32}

4 0

2 years ago

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How can relative frequencies be used to help us estimate probabilities occurring in sampling distributions? relative frequencies

morpeh [17]

The <u>correct answer</u> is:

<span>Relative frequencies are the probabilities occurring in sampling distributions.

Explanation:

Relative frequencies are the fraction of times an event occurs within a sample.

This is the same definition as experimental probability; thus relative frequencies are the probabilities occurring in sampling distributions.</span>

7 0

2 years ago

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The number of people that enter a drugstore in a given hour is a Poisson random variable with parameter λ = 10. Compute the cond

Nonamiya [84]

Answer:

The probability is 0.2650

Step-by-step explanation:

Let's start assuming that men and women come in at the same rate.

Let's define the following random variables :

X : ''Number of people that enter a drugstore''

M : ''Number of men that enter a drugstore''

W : ''Number of women that enter a drugstore''

The number of people will be the number of men plus the number of women

⇒

X = M + W

We are also assuming that M and W are independent random variables.

X ~ Po (10)

M ~ Po (λ1)

W ~ Po (λ2)

λ1 = λ2 because we assumed that men and women come in at the same rate.

λ1 = λ2 = λ

λ1 + λ2 = λ + λ ⇒ 2λ = 10 ⇒ λ = 5

M ~ Po (5)

W ~ Po (5)

Because X is the sum of two independent Poisson random variables.

We are looking for :

$P(M\leq 3/W=10)=P(M\leq 3)$

Because we assume independence.

$P(M\leq 3)= P(M=0)+P(M=1)+P(M=2)+P(M=3)$

$P(M=m)=\frac{5^{m}}{m!}e^{-5}$ because is a Poisson random variable with λ = 5

$P(M\leq 3)=\frac{5^{0}}{0!}e^{-5}+\frac{5^{1}}{1!}e^{-5}+\frac{5^{2}}{2!}e^{-5}}+\frac{5^{3}}{3!}e^{-5}$

$P(M\leq 3)=e^{-5}+5e^{-5} +(\frac{25}{2})e^{-5} +\frac{125}{6}e^{-5}=0.2650$

$P(M\leq 3)=0.2650$

5 0

2 years ago