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3 years ago

11

One pipe can fill a pool in 10 hours. Another pipe can fill the pool in 30 hours. How long would it take them to fill the pool i

f they were working together?

2 answers:

Vadim26 [7]3 years ago

5 0

30-10= 20 hours if they work together

avanturin [10]3 years ago

5 0

Probably 3 hours. it will be a much shorter amount of time than 30 or 10. do divide. 30 by 10 you get 3 hours. hope this helps :)

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Yeast , a key ingredient bread , thrives within the temperature range of 90° F to 95°F . Write and graph an inequality that repr

NeX [460]

Answer:

Please find attached the required graph of the inequality representing the temperatures yeast will NOT thrive

Step-by-step explanation:

The given parameters are;

The temperature range, y, in which yeast thrives is 90°F ≤ y ≤ 95°F

Therefore, the temperature range, y', in which yeast will not thrive is 90°F > y and y > 95°F

The graph of the inequality that represents the temperature is therefore given as shown in the attached drawing.

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3 years ago

What quantities are equivalent to 250 meters

Vsevolod [243]

Hello there,

Okay, well you have asked what quantities are equivalent to 250 meters well 250 meters would be...

25000 centimeters
0.25 kilometers
820.20 feet

Hope I helped,

Amna

6 0

3 years ago

The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her liste

Paraphin [41]

Complete Question:

The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her listeners are at least 22 years old and wants to know what age group she should gear her advertisements to for the games. She takes a random sample of 46 listeners from age 22-39 and 57 listeners who are 40 and older and asks them if they are likely to tune in to football games. The "yes" responses are recorded in the file attached below.

1. At the 0.05 level of significance, is there a significant difference in the proportion of listeners based on age?

2. Is there evidence to suggest that there is a significant difference in the proportion of listeners based on age?

Answer:

1) There is no significant difference in the proportion of listeners based on age

2) No, there is no evidence

Step-by-step explanation:

Sample size of group 1, $n_1 = 46$

Sample size of group 2, $n_2 = 57$

Number of Yes in group 1, $X_1 = 32$

Number of Yes in group 2, $X_2 = 47$

Proportion of Yes in group 1:

$\hat{p_1} = \frac{X_1}{n_1} \\\hat{p_1} = \frac{32}{46}\\\hat{p_1} = 0.6957$

Proportion of Yes in group 2:

$\hat{p_2} = \frac{X_2}{n_2} \\\hat{p_2} = \frac{47}{57}\\\hat{p_2} = 0.8246$

Null Hypothesis, $H_0: p_1 = p_2$

Alternate Hypothesis, $H_a: p_1 \neq p_2$

$\hat{p} = \frac{X_1 + X_2}{n_1 + n_2} \\\\\hat{p} = \frac{ 32+47}{46+57} \\\\\hat{p}= 0.767$

Significance level,

Calculate the test statistic

$z = (\hat{p_1} - \hat{p_2})/\sqrt{(\hat{p} * (1-\hat{p}) * (\frac{1}{N_1} + \frac{1}{N_2})}\\\\z = (0.6957-0.8246)/ \sqrt{(0.767*(1-0.767)*(1/46 + 1/57))}\\\\z = -1.54$

Get the P-value from the probability distribution table:

At z = -1.54, P-value = 0.1236

Since (P-value = 0.1236) > (α = 0.05), we will accept the null hypothesis. This means that there is no evidence to suggest that there is difference in the proportion of listeners based on age.

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3 years ago

Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. A full-size lemon tree grew three times as much as

dimulka [17.4K]

Answer: the dwarf tree grew by 3 inches.

the semi dwarf tree grew by 6 inches.

the full size tree grew by 18 inches.

Step-by-step explanation:

Let x represent how much the semi-dwarf lemon tree grew.

Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. This means that the amount by which the dwarf lemon tree grew is expressed as x/2

A full-size lemon tree grew three times as much as the semi-dwarf lemon. This means that the amount by which the full-size lemon tree grew is expressed as 3x

Together, the three trees grew 27 inches. This means that

x/2 + x + 3x = 27

Cross multiplying by 2, it becomes

x + 2x + 6x = 54

9x = 54

x = 54/9

x = 6 inches

The dwarf tree grew by 6/2 = 3 inches.

The full-size lemon tree grew by 3 × 6 = 18 inches

7 0

4 years ago

Evaluate x + 8 when x = 7<br><br> a. 15<br><br> b. 1<br><br> c. -1<br><br> d. 56

Tems11 [23]

Answer:

a) 15

Step-by-step explanation:

x+8

substitute x value in

7+8

=15

8 0

4 years ago

Read 2 more answers