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3 years ago

15

what should be done to both sides of the equation in order to solve 1/3 x = 4? multiply by 4, divide by 4, multiply by 1/3, divi

de by 1/3

1 answer:

noname [10]3 years ago

8 0

Answer:

Divide 1/3

Step-by-step explanation:

To get rid of the 1/3 fraction on x, we want to multiply by 3 or divide by 1/3

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The sum of the squares of two consecutive negative integers is 61. Find the smaller of the two integers

Marysya12 [62]

$x^2+(x+1)^2=61\\ x^2+x^2+2x+1-61=0\\ 2x^2+2x-60=0\ \ /:2\\ x^2+x-30=0\\ \Delta=1^2-4\cdot(-40)=1+120=121\ \ \Rightarrow\ \ \sqrt{\Delta} =11\\ \\ x_1= \frac{-1-11}{2} = \frac{-12}{2} =-6,\ \ \ \ x_2= \frac{-1+11}{2} = \frac{10}{2}=5\\ \\Ans.:x=-6$

3 0

3 years ago

The Scottsdale fire department aims to respond to fire calls in 4 minutes or less, on average. Response times are normally distr

IgorC [24]

<h2><u>Answer with explanation</u>:</h2>

Let $\mu$ be the population mean.

As per given , we have

$H_0:\mu \leq4\\\\ H_a: \mu >4$

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.

Also, population standard deviation is given $\sigma=1$ , so we perform one-tailed z-test.

Test statistic : $z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

, where $\mu$ = Population mean

$\sigma$ = Population standard deviation

n= sample size

$\overline{x}$ = Sample mean

For n= 18 , $\overline{x}=4.50$ , $\sigma=1$ , $\mu =4$ , we have

$z=\dfrac{4.5-4}{\dfrac{1}{\sqrt{18}}}\approx2.12$

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\

=1- 0.0340=0.9660

Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.

[We reject null hypothesis if p-value is larger than the significance level . ]

Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .

3 0

3 years ago

Be sure to show your work and solve for f: 12 = f - 13-2

ki77a [65]

Answer:

<h3>f =27</h3>

Step-by-step explanation:

$12 = f - 13-2$

Collect like terms and simplify

$12+13+2 = f\\27 =f$

Switch sides

$f = 27$

5 0

3 years ago

Read 2 more answers

Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they

leva [86]

Now this may or may not be work I’m 99.9 percent sure it’s right but if not sorry

8 0

3 years ago

Pls help and have a great day <333!!!!

nirvana33 [79]

Answer:

find the least common multiple for the denominator and multiply with the numerator

for the first one,

Step-by-step explanation:

the common multiple for 4 and 6 is 12

4×3=12

6×2=12

multiply the same numbers with the numerator

1×3=3

5×2=10

the answer is 3/12 and 10/12

8 0

3 years ago