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algol13
2 years ago
13

I need help with my math homework 2/3x+17≥29

Mathematics
1 answer:
icang [17]2 years ago
6 0

Answer:

x ≥ 18

Step-by-step explanation:

Given the inequality statement, 2/3x + 17 ≥ 29,

Subtract both sides by 17:

2/3x + 17 - 17 ≥ 29 - 17

2/3x  ≥ 12

Multiply both sides by 3/2 to isolate x:

(\frac{3}{2}) \frac{2}{3}x \geq 12 (\frac{3}{2})

x ≥ 18

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emmainna [20.7K]

Let the no. of stars one can expect to see at Bryce Canyon be x.

Given that : No. of stars visible in the night sky = 2000

Also, given that, it is 4/15 of x.

Now, we have

\frac{4}{15}x = 2000\\\\x= \frac{2000 * 15}{4} = 7500

∴  You can expect to see 7,500 stars at Bryce Canyon.

5 0
2 years ago
Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor’s. A sample of 40 bab
Leviafan [203]

Answer:

z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936  

The p value can be founded with this formula:

p_v =P(z  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

Step-by-step explanation:

Information given

\bar X_{1}=7.6 represent the mean for Gibbs products

\bar X_{2}=8.1 represent the mean for the competitor

\sigma_{1}=2.3 represent the population standard deviation for Gibbs

\sigma_{2}=2.9 represent the sample standard deviation for the competitor

n_{1}=40 sample size for the group Gibbs

n_{2}=55 sample size for the group competitor

\alpha=0.05 Significance level provided

z would represent the statistic

Hypothesis to verify

We want to check if babies using the Gibbs brand gained less weight, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}< 0  

The statistic would be given by:

z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

Replacing the info given we got:

z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936  

The p value can be founded with this formula:

p_v =P(z  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

5 0
2 years ago
Find three ordered pairs for x=9
MariettaO [177]
Three examples are (9, 1), (9, -5), and (9, 3.2).
8 0
2 years ago
I need help with my geometry work please.
cricket20 [7]

Answer:

AA

Step-by-step explanation:

The steps are F and H are matched with line marking it congruent and G is vertical and the last is congruent.

5 0
2 years ago
Please help I'm really confused
inessss [21]

Answer:

your answer should look like this.

Step-by-step explanation:

The horizontal line goes through y-intercept -1/2

3 0
3 years ago
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