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3 years ago

7

Six more than the difference of a number and eighteen

1 answer:

Neporo4naja [7]3 years ago

7 0

Answer:

Equation: 6+d-18

d = difference of a number and eighteen

Idk if it helps. :|

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Find the nth term, a n, of the given arithmetic sequence. a^1 = 75, d = –8, n = 11

kap26 [50]

An = a1+d*(n-1)
a11 = 75-8*(11-1) = -5

4 0

4 years ago

A French class has a total of 26 students. The number of females is 6 less than the number of males. How many males and how many

kramer

Answer:

Step-by-step explain:

total-females=males

26-6=20

there are 20 males in the class.

I got subtraction because it says less females.

8 0

3 years ago

Two chemical plants are releasing waste into a holding tank. Plant 1 releases waste twice as fast as plant 2. Together they fill

tatiyna

Answer:

6 hours.

Step-by-step explanation:

Let t represent time taken by plant 1 in hours to release the waste.

Part of waste released by plant 1 in one hour would be $\frac{1}{t}$ .

We have been given that two chemical plant 1 releases waste twice as fast as plant 2, so time taken by plant 2 to release the waste would be $2t$ .

Part of waste released by plant 2 in one hour would be $\frac{1}{2t}$ .

We are also told that together they fill the tank in 4 hours. So part of tank filled by both plants working together in one hour would be $\frac{1}{4}$ .

$\frac{1}{t}+\frac{1}{2t}=\frac{1}{4}$

$\frac{1}{t}\cdot 4t+\frac{1}{2t}\cdot 4t=\frac{1}{4}\cdot 4t$

$4+2=t$

$t=6$

Therefore, it will take 6 hours for the faster plant to fill the tank working alone.

4 0

3 years ago

Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .10 significa

nata0808 [166]

Answer:

The test statistics is $t = -1.40$

The critical value is $Z_{\alpha } = 2.33$

The null hypothesis is rejected

Step-by-step explanation:

From the question we are told that

The sample size for men is $n_1 = 80$

The sample proportion of men that own a cat is $\r p _M = 0.40$

The sample size for women is $n_2 = 80$

The sample proportion of women that own a cat is $\r p_F = 0.51$

The level of significance is $\alpha = 0.10$

The null hypothesis is $H_o : \r p _M = \ r P_F$

The alternative hypothesis is $H_a : \r p _M < \r p_F$

Generally the test statistic is mathematically represented as

$t = \frac{(\r p_M - \r p_F)}{\sqrt{\frac{(p_M*(1-p_M)}{n_1 } } + \frac{p_F*(1-pF)}{n_2 } }$

=> $t = \frac{(0.40 - 0.51)}{\sqrt{\frac{(0.40 *(1-0.41)}{80} } + \frac{0.51*(1-0.51)}{80 } }$

=> $t = -1.40$

The critical value of $\alpha$ from the normal distribution table is

$Z_{\alpha } = 2.33$

The p-value is obtained from the z-table ,the value is

$p-value = P( Z < -1.40) = 0.080757$

=> $p-value = 0.080757$

Given that the $p-value < \alpha$ then we reject the null hypothesis

7 0

3 years ago

Solve 3x + 4x = 2.<br> +

yan [13]

Answer: $\frac{-2+\sqrt{10}}{3}$

Step-by-step explanation:

4 0

3 years ago