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3 years ago

Basic Algebra. Can you help me please?????

Mathematics

2 answers:

Gnom [1K]3 years ago

8 0

Answer:

angleEBC=86

angleDBC=7x+8

now,

86=7x+8+7x+8(because angle EBC is equal to two times of angleDBC)

14x+16=86

14x=70

x=5,,

poizon [28]3 years ago

5 0

Answer:

does BD bisect angle EBC?

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10 workers build a wall in 4 days. how many workers are needed to build 4 such walls in 5 days

My name is Ann [436]

Answer:

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Step-by-step explanation:

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3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It

Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, $\bar{x}$ = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}$

We use one-tailed(left) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

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3 years ago

a boy walks along at a constant speed of 3 meters per second for 1 minute. how far does he travel during this time?

Nadusha1986 [10]

The boy walks at a constant speed V=3 m/s where V is his velocity
1 minutes has 60 seconds
Thus we conclude during 1 minute he travels :
60 seconds × 3 meters/second = 180 meters

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3 years ago

Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π

lorasvet [3.4K]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The instantaneous rate of change at a given value of $x$ can be found by concept of derivative, which is described below:

$g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Where $h$ is the difference rate.

In this question we must find an expression for the instantaneous rate of change of $g$ if $f(x) = \sin x$ and evaluate the resulting expression for $x = \frac{\pi}{3}$ . Then, we have the following procedure below: