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Romashka-Z-Leto [24]
2 years ago
7

4. What is the value of a in the following equation: 6a = 54? b. 7 C. 12 d. 8 a. 9

Mathematics
1 answer:
Korolek [52]2 years ago
8 0

Answer:

9

Step-by-step explanation:

6a=54

a=54/6

a=9

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An acre measures 4840 square yards. In a city, a lot on which a single-
belka [17]

The lot is <u>9.2% of the an acre.</u>

<u>Given:</u>

Area of an acre = 4840 sq. yards

Area of lot = 40 by 100 ft = 40 ]\times 100 = 4,000 $ ft^{2}

Convert the area of the lot to feet (9 ft^{2} = yd^{2}):

<em>Therefore:</em>

Area of lot = \frac{4,000}{9} = 444.4 $ yd^{2}

Percentage occupied by the lot = area of lot / area of acre x 100

= \frac{444.4}{4840} \times 100\\\= 9.2

The lot therefore is <u>9.2% of the an acre</u>.

Learn more here:

brainly.com/question/20730855

7 0
2 years ago
A Statistics professor has observed that for several years students score an average of 106 points out of 150 on the semester ex
tekilochka [14]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 106

For the alternative hypothesis,

µ > 106

It is a right tailed test because of >.

Since no population standard deviation is given, the distribution is a student's t.

Since n = 241,

Degrees of freedom, df = n - 1 = 241 - 1 = 240

t = (x - µ)/(s/√n)

Where

x = sample mean = 109

µ = population mean = 106

s = samples standard deviation = 8.3

a) test statistic, t = (109 - 106)/(8.3/√241) = 5.61

We would determine the p value using the t test calculator. It becomes

p = 0.00001

Since alpha, 0.05 > than the p value, 0.00001, then we would reject the null hypothesis. Therefore, At a 5% level of significance, this improvement seem to be practically​significant.

b) Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation

n = number of samples

From the information given, the population standard deviation is unknown, hence, we would use the t distribution to find the z score

df = 240

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 1.6512

Margin of error = 1.6512 × 8.3/√241

= 0.88

Confidence interval = 109 ± 0.88

7 0
3 years ago
6:20=9:x=x:10=x:60=16:x=12:x
ivolga24 [154]

6:20=9:30=3:10=18:60=16:160/3=12:40

Step-by-step explanation:

The question requires you to find value of x in the ratios given;

Start with the first pair

6:20 = 9:x

6/20 =9/x

6x=20*9

6x=180

x=180/6=30 ⇒⇒ 6:20 = 9:30

The second pair after replacing the value of x=30 will be

9:30 = x:10

9/30=x/10

90=30x

90/30 =x

3=x⇒⇒ 9:30 = 3:10

The third pair after replacing value of x=3 will be

3:10 =x:60

3/10 =x/60

180=10x

180/10 =x

18=x ⇒⇒ 3:10 = 18:60

The fourth pair after replacing value of x=18 will be;

18:60 = 16:x

18/60 = 16/x

18x=16*60

x= (16*60)/18 =160/3

x= 160/3  ⇒⇒⇒ 18:60 = 16: 160/3

The firth pair after replacing value of x=160/3 will be;

16: 160/3 =12:x

16x= 160/3 *12

16x = 160 * 4

x= (160 *4 )/16

x=40

⇒⇒ 16: 160/3 = 12: 40

Learn More

Ratios and proportions :brainly.com/question/9512748

Keywords : ratio, value of x, proportion

#LearnwithBrainly

6 0
3 years ago
What is 9x9x9x9x9x9x9x9x9x9x9x9x9x9 <br> DO NOT LOOK AT THE CALCULATOR!
Elis [28]

Answer:

The answer is either 2.2876792e+13  or 126

Step-by-step explanation:

4 0
3 years ago
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Help pls it easy for everyone, i need it before 20 mins plss
Katen [24]
5.B
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5 0
3 years ago
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