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3 years ago

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2 answers:

7 0

Let $X$ be the random variable denoting the number of girls that are born. Then $X$ has a binomial distribution on $n=125$ babies and probability of getting a girl $p=0.5$ . The probability we want is

$\mathbb P(X\ge60)=\displaystyle\sum_{x=60}^{125}\binom{125}x0.5^{125-x}0.5^x\approx0.704=70.4\%$

PSYCHO15rus [73]3 years ago

6 0

Answer:

B. 70.4% (APEX)

Step-by-step explanation:

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there are 44 children and 6 adults attending a field trip to the art museum. what is the ratio of adults to children

scoundrel [369]

44:6
This is the answer because it's asking how many adults are there compared to children

4 0

3 years ago

A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled. Each box of cereal is supposed to

Vaselesa [24]

Answer:

We conclude that the population average weight of a cereal box is equal to 13 ounces.

Step-by-step explanation:

We are given that a cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.

A random sample of 36 boxes is tested. The sample average weight is 12.85 ounces and the sample standard deviation is 0.75 ounces.

Let $\mu$ = population average weight of a cereal box

So, Null Hypothesis, $H_0$ : $\mu$ = 13 ounces {means that the population average weight of a cereal box is equal to 13 ounces}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ 13 ounces {means that the population average weight of a cereal box differs from 13 ounces}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average weight = 12.85 ounces

$\sigma$ = sample standard deviation = 0.75 ounces

n = sample of boxes = 36

So, test statistics = $\frac{12.85-13}{\frac{0.75}{\sqrt{36} } }$ ~ $t_3_5$

= -1.20

The value of the test statistics is -1.20.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, the t table gives critical values between -2.03 and 2.03 at 35 degree of freedom for two-tailed test.

Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population average weight of a cereal box is equal to 13 ounces.

3 0

3 years ago

The point A(−4,5) is reflected over the point (2,3) and its image is point B. What are the coordinates of point B?

Allisa [31]

Answer: (8,1)

Step-by-step explanation:

The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b

b = 3 2/3

The equation for the line is y = -(1/3)x + 3 2/3

The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1

The point is (8,1)

3 0

3 years ago

Instead of having 1.5 times as many pink flowers as white

elena55 [62]

Answer:

The first row has 4 pink flowers and 2 white flowers

The second row has 6 pink flowers and 3 white flowers

The third row has 8 pink flowers and 4 white flowers.

Step-by-step explanation:

Based on the above question,

Molly has decided to plant a garden with twice as

many pink flowers as white flowers per row.

We can find the number of white flowers in each row by using the principle of ratio to solve this question.

Mathematically, what Molly planted is expressed as:

2 pink flowers : 1 white flower

Therefore for the three rows:

a. The first row is 4 pink flowers

Since, 2 pink flowers : 1 white flower

2 pink flowers = 1 white flower

4 pink flowers = designated as y

We cross multiply

2× y = 4 × 1

Divide both sides by 2

y = 4 ÷ 2

y = 2 white flowers.

Therefore, the first row that Molly planted 4 pink flowers has 2 white flowers.

b. The second row, Molly planted 6 pink flowers

Since, 2 pink flowers : 1 white flower

2 pink flowers = 1 white flower

6 pink flowers = designated as z

We cross multiply

2× z = 6 × 1

Divide both sides by 2

z = 6 ÷ 2

z = 3 white flowers.

Therefore, the second row that Molly planted 6 pink flowers has 3 white flowers.

c. The third row , Molly planted 8 pink flowers

Since, 2 pink flowers : 1 white flower

2 pink flowers = 1 white flower

8 pink flowers = designated as p

We cross multiply

2× p = 4 × 1

Divide both sides by 2

P = 8 ÷ 2

y = 4 white flowers.

Therefore, the third row that Molly planted 8 pink flowers has 4 white flowers.

Therefore, since Molly has decided to plant a garden with twice as

many pink flowers as white flowers per row,

The first row has 4 pink flowers and 2 white flowers

The second row has 6 pink flowers and 3 white flowers

The third row has 8 pink flowers and 4 white flowers.

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3 years ago

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Luke ran 12.5 miles and 2 hours and 25 miles in 4 hours what is the constant of proportionality

grandymaker [24]

Answer:

6.25 miles per hour

Step-by-step explanation:

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3 years ago