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2 years ago

5

A school has 90 children. During the day each child attends 4 classes. Each class has 15 children and 1 teacher. During the day

each teacher teaches 3 classes. What is the smallest number of teachers the school can have.

1 answer:

Maslowich2 years ago

4 0

I think 10... possibly...

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A bicycle tire has a radius of 5 inches. To the nearest inch, how far does the tire travel when it makes 8 revolutions?

Pani-rosa [81]

Answer:

251 inches

Step-by-step explanation:

c = 2πr

c = 2(3.14)(5) = 31.4

31.4 x 8 rev. = 251 inches

4 0

2 years ago

Line segment JL is an altitude in triangle JKM. Which statement explains whether JKM is a right triangle? Round measures to the

natulia [17]

Answer:

C. JKM is not a right triangle because KM ≠ 15.3.

Step-by-step explanation:

We can see from our diagram that triangle JKM is divided into right triangles JLM and JLK.

In order to triangle JKM be a right triangle $KM^{2}=JK^{2}+JM^{2}$ .

We will find length of side KM using our right triangles JLM and JLK as $KM=KL+LM$ .

Using Pythagorean theorem in triangle JLM we will get,

$LM=\sqrt{JM^{2}-JL^{2}}$

$LM=\sqrt{8^{2}-5^{2}}$

$LM=\sqrt{64-25}$

$LM=\sqrt{39}=6.244997998\approx 6.24$

Now let us find length of side KL.

$KL=\sqrt{JK^{2}-JL^{2}}$

$KL=\sqrt{13^{2}-5^{2}}$

$KL=\sqrt{169-25}$

$KL=\sqrt{144}=12$

Now let us find length of KM by adding lengths of KL and LM.

$KM=12+6.24=18.24$

Now let us find whether JKM is right triangle or not using Pythagorean theorem.

$KM^{2}=JK^{2}+JM^{2}$

$18.24^{2}=13^{2}+8^{2}$

$18.24^{2}=169+64$

$18.24^{2}=233$

Upon taking square root of both sides of equation we will get,

$18.24\neq 15.264337522473748$

$18.2\neq 15.3$

We have seen that KM equals 18.2 and in order to JKM be a right triangle KM must be equal to 15.3, therefore, JKM is not a right triangle and option C is the correct choice.

6 0

2 years ago

Read 2 more answers

. According to Management Accounting, salary figures for certified management accountants (CMAs) who are in the field less than

Mice21 [21]

Answer:

The Mean is not equal to $31,129.

Step-by-step explanation:

Consider the provided information.

The mean is $31129

Thus, the null hypothesis $H_0: \mu = 31129$

Alternative hypothesis $H_a: \mu \neq 31129$

A random sample of 15 firstyear CMAs in Denver produces a mean salary of $32,279, with a standard deviation of $1,797.

Thus the value mean of sample is 32279, standard deviation is 1797 and number of samples are 15.

Now use the 2 sided t-test.

$t=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

Now substitute the respective values in the above formula.

$t=\frac{32279-31129}{\frac{1797}{\sqrt{15}}}$

$t=\frac{1150}{464}$

Test Value = 2.4785 approximately

Now, find the corresponding p-value in your t-table with DF(degree of freedom) 14.

p = 0.0265

as the value of p < 0.05, so you reject null hypothesis.

Thus, the Mean is not equal to $31,129.

7 0

2 years ago

I am part of a whole. I am greater than three-fourths but less than nine tenths. I am a decimal with a 3 in my hundredths place.

zalisa [80]

The number should be 5/6

3 0

2 years ago

Rhianna is buying a car for $14,390. She has a $1000 trade-in allowance and will make a $1500 down payment. She will finance the

antoniya [11.8K]

Answer:

(a)

Original price for the Car Rhianna buy = $14,390.

Trade in allowance she has =$1000

So, the reduced price= $14,390-$1,000=$13,390.

Now, she make a $1500 down payment initially, so the remaining amount she pay using Auto-Loan is, $13,390-$1500=$11,890

Therefore, $11,890 money will she borrow in an auto loan.

(b)

To find the monthly(M) auto payment be:

Since the monthly auto payment in 4 year with 2.6% APR(Annual percentage rate)

Now, Monthly Auto payment(M) be :

P=$11,890, Monthly Car payment per $1000 borrowed at 2.6% for 48 months = $21.958

∴ $M=$11,890\cdot \frac{21.958}{1000}$

On solving we get, M=$261.082

Therefore, $261.082 will be her monthly auto payment.

(c)

Total amount of interest(A) she will pay ,

A=total payment in 4 years-total loan amount= $(\$261.082\cdot 48)-11,890$

=$12,531.936-$11,890=$641.936

So, the total amount of interest she will pay is, $641.936

(d)

Rhianna total payment for the car = total payment in 4 years+Down payment= $(261.082\cdot 48)+$1500$ =$12531.936+$1500=$14,031.936

(e)

∵ Rhianna is 22 years female :

From the given Data in the picture:

Rating factor= 1.2

Liability insurance 50/100/25 , Bodily injury 50/100

Premium= $310 and Property damage 25 : Premium $175

Collision insurance=$500 deductible: Premium $148

Comprehensive insurance= $500 deductible : Premium $85

Her total annual premium $= 1.2\cdot (\$310+\$175+\$148+\$85) = \$861.60$

8 0

2 years ago