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3 years ago

Mr. Smith offered to stay after school for an extra help session. The day after the

Mathematics

1 answer:

marissa [1.9K]3 years ago

7 0

Answer:

132 students

Step-by-step explanation:

Mr Smith offers to take extra help session for students after school

The day after the help session 11 of his students were talking and found out that only 2 had stayed up for the help session

= 2/11

There were actually a total number of 24 students that stayed

We are asked to find the number of student that Mr Smith teaches throughout the day

Let x represent the number of students that were taught during the day

Therefore, the number of student that Mr Smith teaches during the day can be calculated as follows

2/11=24/x

Cross multiply both sides

2 × x = 24 × 11

2x= 264

Divide both sides by 2

2x/2=264/2

x= 132

Hence Mr Smith teaches 132 students during the day.

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The weights of soy patties sold by Veggie Burgers Delight are normally distributed. A random sample of 15 patties yields a mean

Elden [556K]

Answer:

$t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549$

Step-by-step explanation:

Data given and notation

$\bar X=3.8$ represent the sample mean

$s=0.5$ represent the sample standard deviation for the sample

$n=15$ sample size

$\mu_o =4$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:

Null hypothesis: $\mu \geq 68$

Alternative hypothesis: $\mu < 4$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549$

3 0

3 years ago

The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. Explain how to find the

bogdanovich [222]

Answer:

Step-by-step explanation:

The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. To find the number of yards the car can travel on gallon of gas, we would convert 24.5 miles.

1 mile = 1760 yards

24.5 miles = 24.5 × 1760

= 43120 yards

Therefore, the car drives 43120 yards on 1 gallon of gas.

7 0

3 years ago

PLEASE HELP!!!!! 3, 8, 13, 18, 23, ....<br><br> The recursive formula for this sequence is:

rodikova [14]

Answer:

a₈ = 37

Step-by-step explanation:

The given arithmetic sequence is: 3, 8, 13, 18, 23, . . .

The recursive formula for the sequence is: $a_n = a_{n - 1} + 5$

Here, $a_n$ represents the $n^{th}$ of the sequence.

And, $a_{n - 1}$ represents the $(n - 1)^{th}$ of the sequence.

'+5' denotes that '5' is added to the $(n - 1)^{th}$ term to get the $n^{th}$ term. In other words, the difference between two consecutive numbers in the sequence is 5.

Now, we are asked to find a₈ i.e., n =8.

Substituting in the recursive formula we get: a₈ = a₍₈₋ ₁₎ + 5 = a₇ + 5.

So, to determine a₈ we need to know a₇. From the sequence we see that a₅ = 23.

⇒ a₆ = 23 + 5 = 28.

⇒ a₇ = 28 + 5 = 32.

⇒ a₈ = 32 + 5 = 37.

Therefore, the $8^{th}$ term of the sequence is 37.

8 0

3 years ago

Question 1 and 2 have the same question help please!!

Hatshy [7]

Answer:

1st Circle

Radius = 9

Diameter = 18

Circumference = 2 × $\pi$ × r = 2 × 3.14 × 9 = 56.52

2nd Circle

Radius = 14

Diameter = 28

Circumference = 2 × $\pi$ × r = 2 × 3.14 × 14 = 87.92

8 0

3 years ago

On the first visit to the veterinarian's office, Cora's kitten weighed 550 grams. On the second visit, the kitten had gained 350

Paraphin [41]

Answer:

On first visit, weight =550 g

Weight gained on second visit= 350 g

Weight gained on third visit= 300 g

Present weight=550+350+300= 1200

Weight gained=1200-550=650

Percentage of weight increased

-------->650/550 × 100 = 118.18\%

So the kitten gained 118% weigh

Step-by-step explanation:

6 0

2 years ago

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