Round 34,576 to the nearest thousand

Beth records the height of a plant for 8 weeks and creates a scatter plot of the data. What is the equation of the line of best

earnstyle [38]

<h2>Answer:</h2>

Option: C is the correct answer.

C) The equation is y = 2x, and the height is 40 inches.

<h2>Step-by-step explanation:</h2>

We could clearly observe that the line of best fit passes through the point (0,0) and (20,40)

We know that the equation of a line passing through point (a,b) and (c,d) is calculated by the help of the formula:

$y-b=\dfrac{d-b}{c-a}\times (x-a)$

Here we have:

(a,b)=(0,0) and (c,d)=(20,40)

Hence, the equation of line of best fit is:

$y-0=\dfrac{40-0}{20-0}\times (x-0)\\\\\\y=\dfrac{40}{20}\times x\\\\\\y=2x$

Hence, the equation is:

y=2x

Also when x=20 we have:

y=40

6 0

3 years ago

Jogging burns 375 calories in 45 minutes. Determine how many calories burned per hour?

Sveta_85 [38]

Answer: 500 calories

Set them as proportions
375/46=x/60
Multiply 60 to each side to eliminate fraction
Then you’ll get x=500

3 0

3 years ago

In the exponential growth function y = 235(1.15)^x, what is the

sweet-ann [11.9K]

Answer: Growth factor will be 0.15 and percent increase will be 15%.

Step-by-step explanation:

Since we have given that

the exponential growth function

$y=235(1.15)^x$

1) We need to find the growth factor :

As we know the formula for "Compound Interest ":

$A=P(1+\frac{r}{100})^x$

If we compare the formula with our given equation, we get

$1+\frac{r}{100}=1.15\\\\\frac{r}{100}=1.15-1\\\\\frac{r}{100}=0.15\\\\r=0.15\times 100\\\\r=15$

So, the growth factor is at the rate of 0.15.

2) Percent increase will be

$0.15=\frac{15}{100}\times 100\\\\=15\%$

Hence, growth factor will be 0.15 and percent increase will be 15%.

3 0

3 years ago

The bad debt ratio for a financial institution is defined to be the dollar values of loans defaulted divided by the total dollar

Nimfa-mama [501]

Answer:

(a) NULL HYPOTHESIS, $H_0$ : $\mu \leq$ 3.5%

ALTERNATE HYPOTHESIS, $H_1$ : $\mu$ > 3.5%

(b) We conclude that the the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks.

Step-by-step explanation:

We are given that a random sample of seven Ohio banks is selected.The bad debt ratios for these banks are 7, 4, 6, 7, 5, 4, and 9%.The mean bad debt ratio for all federally insured banks is 3.5%.

We have to test the claim of Federal banking officials that the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks.

(a) Let, NULL HYPOTHESIS, $H_0$ : $\mu \leq$ 3.5% {means that the the mean bad debt ratio for Ohio banks is less than or equal to the mean for all federally insured banks}

ALTERNATE HYPOTHESIS, $H_1$ : $\mu$ > 3.5% {means that the the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks}

The test statistics that will be used here is One-sample t-test;

T.S. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean debt ratio of Ohio banks = 6%

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = 1.83%

n = sample of banks = 7

So, test statistics = $\frac{6-3.5}{\frac{1.83}{\sqrt{7} } }$ ~ $t_6$

= 3.614

(b) Now, at 1% significance level t table gives critical value of 3.143. Since our test statistics is more than the critical value of t so we have sufficient evidence to reject null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks.

Hence, Federal banking officials claim was correct.

7 0

3 years ago

Monica built a porch that contained 2 different colors of bricks to create a neat pattern. She purchased the red bricks at $2 ea

Liono4ka [1.6K]

Answer:

2x+3x=5x

Step-by-step explanation:

The reason for this answer is algebra. Since you give a full explanantion on it I'm not sure if I answered it correctly. But here is what I think from what you gave of the question.

4 0

3 years ago