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3 years ago

Answer please! 11y - 3y = 24

Mathematics

2 answers:

Zarrin [17]3 years ago

4 0

11-3 = 8
8y = 24
8y/8 = 24/8
y = 3

Arisa [49]3 years ago

4 0

Answer:

$3 = y$

Step-by-step explanation:

11y - 3y = 24

$\frac{24}{8} = \frac{8y}{8} \\ \\ 3 = y$

I am joyous to assist you anytime.

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A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class

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Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

Let p = percentage of seniors who skip their classes.

So, Null Hypothesis, $H_0$ : p $\leq$ 2% {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, $H_A$ : p > 2% {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of seniors who skipped their classes = $\frac{77}{2521}$

n = sample of classes = 2521

So, test statistics = $\frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }$

= 3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that seniors skip more than 2% of their classes.

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4 years ago

Danielle worked three days last week for a total of 18.25 hours. She worked 6.5 hours on Monday and 5.75 hours on Wednesday. How

svet-max [94.6K]

Answer:

She worked for 6 hours on Saturday.

Step-by-step explanation:

Number of hours worked by Danielle last week = 18.25 hours

She worked for three days, Monday, Wednesday and Saturday.

Let she worked on Saturday = x hours

Therefore, total hours worked by Danielle in three days = 6.5 + 5.75 + x

And the equation will be,

6.5 + 5.75 + x = 18.25

12.25 + x = 18.25

x = 18.25 - 12.25

x = 6

Therefore, she worked for 6 hours on Saturday.

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3 years ago

Josie is picking out wallpaper for a 9 feet by 10 feet accent wall in her new apartment. She has narrowed her choices down to th

elena55 [62]

Answer:

Josie should purchase floral daisy wallpaper.

Step-by-step explanation:

Area = Length × Width

The area of the Josie's accent wall = 9 × 10 = 90 feet²

The cost of Floral Daisy per square feet $=\frac{\text{Area of the wallpaper}}{price}$

= $\frac{(1.475\times 9.8)}{14.67}$

= $\frac{14.455}{14.67}$

= 0.98534 ≈ $0.99/ft²

The cost of total wallpaper for the wall = 90 × 0.99 = $89.10

The cost of Flower Power per square feet = $\frac{(8.33\times 12)}{99}$

= $\frac{99.96}{99}$

= 1.0096 ≈ $1.01/ft²

The cost of total wallpaper for the wall = 90 × 1.01 = $90.90

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∵ The floral daisy wallpaper comes in size = 1.45 ft × 9.8 ft

∴ Josie needs the number of rolls of floral daisy wallpaper to cover her wall = 7

The cost of 7 rolls = 14.67 × 7 = $102.69

To cover her wall with flower power wallpaper, she needs the number of rolls = 2

The cost of 2 rolls = 99 × 2 = $198

We can see the cost of floral daisy wallpaper is less than flower power.

Therefore, Josie should purchase floral daisy wallpaper.

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3 years ago

A new LED light bulb uses 10 watts of power. Since energy = power × time , then the energy used for this light bulb can be found

sergiy2304 [10]

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Answer:

150 Wh

Step-by-step explanation:

We know the energy per bulb is 10 Wh per hour, so the total energy used by 3 bulbs in 5 hours is ...

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3 years ago

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Answer:

24-3=21 , 36-4=32 , 3+4=7 , 7 x 5 , which equals 35

Step-by-step explanation:

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3 years ago