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gizmo_the_mogwai [7]

3 years ago

11

jamal is having a party at a science museum, including himself, he can spend no more than $175. admission is $12.50 per ticket a

nd lunch costs $6.50 per person.how many friends ,n, can he invite to his party

2 answers:

abruzzese [7]3 years ago

8 0

Answer:

9

Step-by-step explanation:

If u add 12.50 and 6.50 together u get 19 and if u multiply 19 up to 175$, Then u only get to bring 9 people and if u multiply 19 x 9 u get 171 if u multiply it more u will go over the budget so 9 is the correct answer.

Mice21 [21]3 years ago

8 0

Answer:

9

Step-by-step explanation:

I know it is 9 because I am big brain

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Share $210 in the ratio of 2:5

horrorfan [7]

Answer:

60:150

Step-by-step explanation:

So first you can divide 210 by 7 since it will be spilt into seven parts.

210/7 = 30

So in order to get them into the ratios:

30 x 2 = 60

30 x 5 = 150

So 210 in the ratio of 2:5 would be 60:150

You can check your work by adding 60 + 150 together.

6 0

3 years ago

A dragon flew 300 miles from his castle to visit a friend. Flying with the wind, his trip took 2 hours. His return trip against

posledela

The speed of the wind and the speed of the dragon in still air are respectively; 142.5 mph and 7.5 mph

<h3>How to calculate the speed?</h3>

The dragon flew 300 miles with the wind in two hours.

After flying against the wind for two hours, he had made 270 miles of the return trip.

Let s be the speed in still air

Let w be the speed of the wind

Thus;

(s - w) = effective speed against the wind

and

(s + w) = effective speed with the wind

We know that;

distance = time * effective speed

Thus;

2(s + w) = 300

2(s - w) = 270

This can be simplified to get;

s + w = 150 -----(1)

s - w = 135 -----(2)

Add both equations to get;

2s = 285

s = 285/2

s = 142.5 mph.

Then, plane speed in still air is;

142.5 + w = 150

w = 150 - 142.5

w = 7.5 mph is the speed of the wind

Read more about Speed of object at; brainly.com/question/6504879

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7 0

2 years ago

Last year, a soft drink manufacturer had 22% of the market. In order to increase their portion of the market, the manufacturer h

N76 [4]

Answer:

Critical value zc = 1.6449.

As the test statistic z=1.3881 is smaller than the critical value zc=1.6449, it falls in the acceptance region and the null hypothesis is failed to be rejected.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that more than 22% of the population will like the new soft drink.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.22\\\\H_a:\pi>0.22\\$

The significance level is 0.05.

The sample has a size n=400.

The sample proportion is p=0.25.

$p=X/n=100/400=0.25$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.22*0.78}{400}}\\\\\\ \sigma_p=\sqrt{0.000429}=0.0207$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.25-0.22-0.5/400}{0.0207}=\dfrac{0.0288}{0.0207}=1.3881$

As this is a right-tailed test, there is only one critical value and it is, for a significance level of 0.05, zc=1.6449.

As the test statistic z=1.3881 is smaller than the critical value zc=1.6449, it falls in the acceptance region and the null hypothesis is failed to be rejected.

3 0

3 years ago