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3 years ago

Question 1

Mathematics

1 answer:

lisov135 [29]3 years ago

5 0

Answer:

See attached graph

Step-by-step explanation:

The table values should be treated as coordinates and the plotted on grid to visualize the graph;

The coordinates are : (-2,8), (-1,4 ) , (0,2) ,(1,1 ) , ( 2,0.5)

Join the plotted points to form a curve that slants to the left and compare with the answer choices given.

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3% percent of the students at Lincoln High School are in orchestra, 5%

MissTica

Answer:

The probability of a student to be in the orchestra or the band is 0.07 or 7%.

Step-by-step explanation:

The probability of a student to be in the orchestra or the band is given by the following formula:

p(orchestra or band) = p(orchestra) + p(band) - p(orchestra and band)

p(orchestra or band) = 0.03 + 0.05 - 0.01

p(orchestra or band) = 0.08 - 0.01

p(orchestra or band) = 0.07

The probability of a student to be in the orchestra or the band is 0.07 or 7%.

8 0

3 years ago

30 points if correct. Select all the are true.

ivann1987 [24]

Answer:

Options B,C and E are correct choices.

Step-by-step explanation:

We are asked to find correct answers for the given box and whisker plots.

Let us our options one by one.

A. This option is false as lowest value for children's cereals is 30 and highest value for adults is 35.

B. This option is correct. We can see our upper value for combined range will be 60 and lower value will be 5 and range is upper value- lower value.

$60-5=55$

C. Since we know that we can find spread of data by its range.

$\text{Range for children's cereals}=60-30=30$

$\text{Range for adult's cereals}=60-30=30$

So option C is correct indeed.

D. This options is false because for adults mean and median are different while for children mean and median are same.

E. We can see that median for children's cereals is 45 and it is about 12 for adults.

We can see that $12*3$ . So median amount of sugar in children's cereals is 3 times as much as the median amount of sugar in adult's cereals.

Therefore, options B,C and E are correct choices.

4 0

3 years ago

Assume you are planning a picnic for lunch, but when you woke up there were rain clouds in the sky. If 50% of rainy days start w

Tasya [4]

Answer:

0.25 = 25% probability that it will rain today and ruin your picnic

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Cloudy skies

Event B: Rain

20% of all days start with clouds in the air

This means that $P(A) = 0.2$

50% of rainy days start with rain clouds in the air

50% of 10%. So

$P(A \cap B) = 0.5*0.1 = 0.05$

What is the probability that it will rain today and ruin your picnic

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25$

0.25 = 25% probability that it will rain today and ruin your picnic

3 0

3 years ago

If there is a 80% chance of rain and a 70% chance of wind and rain what is the probability that it is windy given that its rainy

dlinn [17]

10 % because 80 - 70 = 10

3 0

3 years ago

Find a cubic function with the given zeros. (1 point) Square root of seven. , - Square root of seven. , -4

Debora [2.8K]

Given :

Three roots , $\sqrt{7},\ -\sqrt{7},\ -4$ .

To Find :

A cubic function with the given zeros.

Solution :

Equation of polynomial of 3 zeroes is given by :

$(x-a_1)(x-a_2)(x-a_3)=0\\\\(x-\sqrt{7})(x+\sqrt{7})(x+4)=0\\\\( x^2-7)(x+4)=0\\\\x^3+4x^2-7x-28=0$

Therefore, the cubic function of given zeroes is $x^3+4x^2-7x-28=0$ .

Hence, this is the required solution.

6 0

3 years ago