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3 years ago

List 2 possible solutions for the inequality x < 9.

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

4 0

Answer: Any number less than 9.

Step-by-step explanation: The inequality is x is less than 9, that’s what < means, so you can say x is 8, 7, 6, 6.9, etc, x is anything less than 9.

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Kerry and three friends went out for dinner. They split a large pizza and each person had a salad and a soda. They want to leave

klio [65]

Answer:

Each person will pay $ 7.20

Step-by-step explanation:

First we find the total bill

Pizza $18.60

Salad $2.50

Soda $2.25

Total $ 23.35

Sales Tax would be= 8 1/4% of $ 23.35 =$ 1.926= $ 1.93

Tip = 15% of $ 23.35= $ 3.5025

Total Bill paid= $ 23.35 + $ 1.93+ $3.50= $ 28.7825 or $ 28.78

Now dividing the bill among 4 persons = $ 28.78/4= $ 7.196 or $ 7.20

Paying the bill equally is better and convenient than paying alone as each person gets an equal share of pizza, salad and the soda.

3 0

3 years ago

4. Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians a

bulgar [2K]

Answer:

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.

Step-by-step explanation:

Given a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

$p_{1} = \frac{368}{634} =0.580$

It found that 368 of the Indians and 130 Asians listened to rap music every day.

$p_{2} = \frac{130}{567} =0.229$

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

$p_{1} = p_{2}$

Alternative hypothesis:- $p_{1} \neq p_{2}$

Level of significance α = 0.05

The test of statistic

$z = \frac{p_{1} - p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} }) } } }$

where $p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}$

p = 0.414

and q = 1-p = 1- 0.414 =0.586

$Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }$

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

3 0

3 years ago

Somebody help me please i will mark you the brainliest

Reptile [31]

I’m 100% sure it’s the 3rd one :)

5 0

3 years ago

Read 2 more answers

Which shows the expression below in simplified form?

statuscvo [17]

Answer:

B. 9x10^4

Step-by-step explanation:

$\frac{4.5 \times {10}^{8} }{5 \times {10}^{3} } \\ = 0.9 \times {10}^{8 - 3} \\ = 0.9 \times {10}^{5} \\ = 9 \times {10}^{4}$

5 0

3 years ago

Right triangle FHG is shown. The sine of angle F is 0.53. What is the cosine of Angle h ?

g100num [7]

Given:

Given that FGH is a right triangle. The sine of angle F is 0.53.

We need to determine the cosine of angle H.

Cosine of angle H:

Given that the sine of angle F is 0.53

This can be written as,

$sin F=0.53$

Applying the trigonometric ratio, we have;

$\frac{HG}{FH}=0.53$ ----- (1)

Now, we shall determine the value of cosine of angle H.

Let us apply the trigonometric ratio $cos \ \theta=\frac{adj}{hyp}$ , we get;

$cos \ H=\frac{HG}{FH}$ ----- (2)

Substituting the value from equation (1) in equation (2), we get;

$cos \ H=0.53$

Thus, the cosine of angle H is 0.53

6 0

3 years ago