MATHEMATICS HIGH SCHOOL

Last week you worked the following hours: Monday, 5½ Wednesday, 6¾ Friday, 4½ How many hours did you work in all last week? A. 16¾ B. 17½ C. 17¾ D. 18½

Answers

Answer 1
Answer:

Answer:

A. 16¾

Step-by-step explanation:

We will convert all the mixed fractions to improper fractions.

Monday, 5½ = (11)/(2)

Wednesday, 6¾ = (27)/(4)

Friday, 4½ = (9)/(2)

Now, we will add all these fractions by taking the LCM of denominator.

The LCM of 2,4 and 2 is 4.

We get the following result after addition.

(11)/(2) +(27)/(4) +(9)/(2)

= (22+27+18)/(4)

= (67)/(4) hours

In mixed fraction it becomes 16¾ hours.

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Find the nth term of 14,22,30,38

Answers

first find the gap which is 8. 
Then you write 8N. To get 14 what do you have to do to the 8? Add 6 so the nth term is 8N+6 

John and Julie are planning to have a new house built the architect designs a house instant them the blueprints skilled at the art architect used on the blueprints is 2 1/2 inches equals 10 feet the living room what are the actual dimensions of 12‘ x 16‘ what are the dimensions on the blueprints

Answers

Answer:

3"x4

Step-by-step explanation:

The symbol for a foot is "ft", sometimes denoted by a prime(') , also, the inch is denoted by a double prime(").

Given

2 1/2inces (2.5") blue print represents 10ft living room

We are told that the dimension of the room on the blueprint is

12'x16'

Let us convert 12' to inches

So

2.5" represents 10'

X ' will be 12'

Cross multiplying

X=(2.5*12)/10

X=3"

Let us convert 16' to inches

So

2.5" represents 10'

Y ' will be 16'

Cross multiplying

Y=(2.5*16)/10

Y=4"

the dimension of the blue print is

3"x4"

Log11 1/121=-x-4 stupid math

Answers

log_(11)121=-x-4\n\nlog_(11)11^2=-x-4\n\n2=-x-4\n\nx=-4-2\n\nx=-6
log_(11)(1)/(121)=-x-4\n \n log_(11)11^(-2)=-x-4\n \n 11^(-x-4)=11^(-2)\n \n -x-4=-2\n \n -x=-2+4\n \n -x=2\n \n \boxed{x=-2}

Mrs.Brewer spent 11.52 for some pencils that were on sale for 0.72 each. how many pencils did she buy?

Answers

she brought 16 you divide 11.52 by 0.72

Answer: 16

Step-by-step explanation: I divided 11.52 by 0.72

Sales at a fast-food restaurant average $6,000 per day. The restaurant decided to introduce an advertising campaign to increase daily sales. To determine the effectiveness of the advertising campaign, a sample of 49 days of sales were taken. They found that the average daily sales were $6,300 per day. From past history, the restaurant knew that its population standard deviation is about $1,000. If the level of significance is 0.01, have sales increased as a result of the advertising campaign? Multiple Choice A. Reject the null hypothesis and conclude that the mean is equal to $6,000 per day.
B. Fail to reject the null hypothesis.
C. Reject the null hypothesis and conclude the mean is lower than $6,000 per day.
D. Reject the null hypothesis and conclude the mean is higher than $6,000 per day.

Answers

Answer:

Option B) Fail to reject the null hypothesis.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $6,000

Sample mean, \bar{x} = $6,300

Sample size, n = 49

Alpha, α = 0.01

Population standard deviation, σ = $1,000

First, we design the null and the alternate hypothesis

H_(0): \mu = 6000\text{ dollars per week}\nH_A: \mu > 6000\text{ dollars per week}

We use one-tailed(right) z test to perform this hypothesis.

Formula:

z_(stat) = \displaystyle\frac{\bar{x} - \mu}{(\sigma)/(√(n)) }

Putting all the values, we have

z_(stat) = \displaystyle(6300 - 6000)/((1000)/(√(49)) ) = 2.1

Now, z_(critical) \text{ at 0.01 level of significance } = 2.33

Since,  

z_(stat) < z_(critical)

We fail to reject the null hypothesis and accept the null hypothesis. Thus, we conclude that sales have not increased as a result of the advertising campaign

Option B) Fail to reject the null hypothesis.

Using technology, we determined that Mary’s investment account can be modeled by the function, M(x) = 4.96(2.18)x in thousands of dollars. What was Mary’s initial investment?

Answers

Answer:

$4960.

Step-by-step explanation:

We have been given that Mary’s investment account can be modeled by the function, M(x)=4.96(2.18)^x in thousands of dollars. We are asked to find Mary's initial investment.

We can see that the given function is an exponential function where, initial value is 4.96 and growth factor is 2.18.  

Since the function given Mary's investment in thousands of dollars, so we need to multiply 4.96 by $1000.

\text{Mary's initial investment}=4.96* \$1000

\text{Mary's initial investment}=\$4960

Therefore, Mary's initial investment was $4960.
well, her initial investment happened at day 0, namely x = 0, let's check,

\bf M(x)= 4.96(2.18)^x\qquad \boxed{x=0}\qquad M(0)= 4.96(2.18)^0 \n\n\n M(0)= 4.96(1)\implies M(0)=4.96
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