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kozerog [31]
3 years ago
15

Tammy must run more than 67 miles total to reach her fitness goals. She has already run 35 miles and runs 4 miles per day, Which

Mathematics
1 answer:
zhuklara [117]3 years ago
7 0

Answer:

35 + 4x > 67

To reach her fitness goal, she needs to run for more than 8 days.

Step-by-step explanation:

She has already run 35 miles and runs 4 miles per day:

This means that after x days, the distance she will have run is:

D(x) = 35 + 4x

Tammy must run more than 67 miles total to reach her fitness goals.

This means that:

D(x) > 67

35 + 4x > 67

The inequality is:

35 + 4x > 67

Solution:

4x > 32

x > \frac{32}{4}

x > 8

To reach her fitness goal, she needs to run for more than 8 days.

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Observe the sequence below 37,41,45,49
lawyer [7]

Answer:

a n  =  4 n  +  33

Step-by-step explanation:

n = number of jumps after the 0 term of '33'

aka: add 4 to the previous number

5 0
3 years ago
. The manager of a local small bank wants to estimate the average daily balance of all the checking accounts. Assume a random sa
MaRussiya [10]

Answer:

A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68

Step-by-step explanation:

Consider the provided information.

A random sample of 21 checking accounts at the bank are chosen,

That means n=21

df = n-1

df = 21-1=20

We need to  Construct and interpret a 95% confidence interval.

Determine t critical value for 95% confidence interval.

0.95=1-α

α=0.05

The sample size is small and it is a two tailed test.

From the t value table confidence interval is 2.086

An average daily balance is $303 and a standard deviation of $63.

CI=\bar x\pm t_c \times \frac{s}{\sqrt{n}}

Substitute the respective values.

CI=303\pm 2.086 \times \frac{63}{\sqrt{21}}

CI=303\pm 28.68

CI=274.32\ or\ 331.68

A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68

3 0
4 years ago
How many square inches are in 1 square foot?<br> 12<br> 144
Zielflug [23.3K]
144 square inches are in 1 square foot. 12 inches are in 1 foot. Remember, it says “squared”.So, the answer is 144 sq. inches. Hope this helped!
3 0
4 years ago
Read 2 more answers
For Tran thank you appreciate it
Anestetic [448]

Step-by-step explanation:

Let alpha be the unknown angle. We can set up our sine law as follows:

\frac{ \sin( \alpha ) }{5 \: m}  =  \frac{ \sin(42) }{3.6 \: m }

or

\sin( \alpha )  =  \frac{5 \: m}{3.6 \: m} \times  \sin(42)  = 0.929

Solving for alpha,

\alpha  = arcsin(0.929) = 68 \: degrees

3 0
3 years ago
Please help! worth 20<br> points!
Korolek [52]
I think it is choice C
8 0
3 years ago
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