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slava [35]
3 years ago
11

HELP ASAP.!!!!!!! Jahlil is saving money at a constant rate to buy a new TV. After saving for $3$ months, Jahlil has $\$330$ . A

fter saving for $5$ months, Jahlil has $\$510$ . Construct a function that models the relationship between the amount of money Jahlil has saved and the number of months he has saved for. Show or explain how you constructed the function. Respond in the space provided.
Mathematics
1 answer:
lawyer [7]3 years ago
6 0

Answer:

y=90x+60

Step-by-step explanation:

x=months

y=dollars

Find dollars/month by finding the slope.

(3, 330), (5, 510)

-> (510-330)/(5-3) -> 90

Since its a constant rate, the function will be in the form, y=mx+b, and since we found the slope we can plug m=90.

y=90x+b

To find be, we simply substitute one of the points.

330=90(3)+b

b=60

Thus, plugging it in,

y=90x+60

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LUCKY_DIMON [66]
5050-3030=she needs 2020 markers.

2020/1010=2, so she needs to buy 2 more packs
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What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.)
mixer [17]

Answer:

volume of the sphere =33.493m^3

Step-by-step explanation:

Given:

Diameter= 4 m,   Radius = 4/2 =2 m

Volume of a sphere=  \frac{4}{3} *\pi* r^3

= \frac{4}{3} *\pi* 2*2*2                                                :\pi =3.14

=  \frac{4}{3} *3.14*2*2*2

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The volume of the sphere with the radius of 2 m is 33.493m^3

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3 years ago
A recent study focused on the number of times men and women send a WeChat message in a day. The information is summarized next.
Ratling [72]

Answer:

1)Null hypothesis:\mu_{men}=\mu_{women}

Alternative hypothesis:\mu_{men} \neq \mu_{women}

2) Two critical values are z_{\alpha/2}=-2.58 and z_{1-\alpha/2}=2.58

3) z=-2.40  

4) p_v =2*P(z

5) Comparing the p value with the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and a would NOT be a significant difference in the mean number of times men and women send a Twitter message in a day.

Step-by-step explanation:

Data given and notation

\bar X_{men}=23 represent the mean for the sample men

\bar X_{women}=28 represent the mean for the sample women

\sigma_{men}=5 represent the population standard deviation for the sample men

\sigma_{women}=10 represent the population standard deviation for the sample women

n_{men}=25 sample size for the group men

n_{women}=30 sample size for the group women

t would represent the statistic (variable of interest)

\alpha=0.01 significance level provided

1)Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different, the system of hypothesis would be:

Null hypothesis:\mu_{men}=\mu_{women}

Alternative hypothesis:\mu_{men} \neq \mu_{women}

Since we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:

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

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

2)Determine the critical value(s).

Based on the significance level\alpha=0.01 and \alpha/2=0.005 we can find the critical values with the normal standard distribution, we are looking for values that accumulates 0.005 of the area on each tail on the normal distribution.

For this case the two values are z_{\alpha/2}=-2.58 and z_{1-\alpha/2}=2.58

3) Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

z=\frac{23-28}{\sqrt{\frac{5^2}{25}+\frac{10^2}{30}}}}=-2.40  

4)What is the p-value for this hypothesis test?

Since is a bilateral test the p value would be:

p_v =2*P(z

5)Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and a would NOT be a significant difference in the mean number of times men and women send a Twitter message in a day.

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