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Svetradugi [14.3K]
4 years ago
6

To find the absolute value of a number

Mathematics
1 answer:
Doss [256]4 years ago
8 0
Find the distance the number is away from zero on the number line.
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Alysa currently holds an 85 average in her Global class at Edgemont High School. With only three days left in the quarter, two a
Tju [1.3M]

Answer:

Step-by-step explanation:

85+x+x=89

85+2x=89

2x=89-85

2x=4

x=2

So she would need 89+2=91

5 0
3 years ago
With steps please
Nat2105 [25]

Answer: 75\ m

Step-by-step explanation:

Given

The tower is 45 m high and Clinometer is set at 1.3 m above the ground

From the figure, we can write

\Rightarrow \tan 32^{\circ}=\dfrac{43.7}{x}\\\\\Rightarrow x=\dfrac{43.7}{\tan 32^{\circ}}\\\\\Rightarrow x=69.93\ m

Similarly, for \triangle ACD

\Rightarrow \tan 47^{\circ}=\dfrac{43.7+y}{x}\\\\\Rightarrow 69.93\times \tan 47^{\circ}=43.7+y\\\\\Rightarrow 74.99=43.7+y\\\Rightarrow y=31.29\ m

Height of the tower is 43.7+31.29\approx 75\ m

8 0
3 years ago
A school teacher is worried that the concentration of dangerous, cancer-causing radon gas in her classroom is greater than the s
kompoz [17]

Answer: At a 5% significance level, the critical value is <u>1.690</u>.

Step-by-step explanation:

Let \mu denotes the average concentration of radon gas.

Given : A school teacher is worried that the concentration of dangerous, cancer-causing radon gas in her classroom is greater than the safe level of 4pCi/L.

As per given , the appropriate hypothesis to test :

\text{Null hypothesis }:H_0:\mu\leq4

\text{Alternative hypothesis }:H_a:\mu>4

[Note : Alternative hypothesis used to express strictly greater than or less than signs and null hypothesis is opposite of it.]

∵ alternative hypothesis is right tailed , so the test must be a right tailed test (one-tailed test.)

Also the population standard deviation is unknown , so we use t-test.

[Note : we have given sample standard deviation as s=1pCi/L. ]

Sample size : 36

Then , degree of freedom = n-1=35

Now, for \alpha=0.05 level of significance, the right-tailed critical value would be

t_{df, \alpha}=t_{35,0.005}=1.690      [Using the students' t-distribution table ]

Hence, At a 5% significance level, the critical value is t_{df, \alpha}=1.690.

5 0
3 years ago
Read 2 more answers
The equation of a line y=2x+14. If the slope is doubled and the y-intercept is reduced by 5, what will be the new equation?
miss Akunina [59]

Answer:

y = 4x + 9

Step-by-step explanation:

Given the linear equation, y = 2x + 14 where:

slope (m) = 2

y-intercept (b) = 14

Doubling the slope: 2 × 2 = 4

Reducing the y-intercept by 5:  14 - 5 = 9

Therefore, the new linear equation is:

y = 4x + 9

8 0
3 years ago
Solve by elimination <br> 4x+5y=15<br> 6x-4y=11
lyudmila [28]
X = 5/2 ,y = 1.I usually solve for x first then substitute the answer in one of the equations to find y.
8 0
4 years ago
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