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Effectus [21]
3 years ago
15

Plz solve this question and pls show your work

Mathematics
2 answers:
victus00 [196]3 years ago
6 0
You have to subtract both sides by 64 and you will get,
-50 = 5z. Then divide both sides by 5, and you get -10 = z.
sp2606 [1]3 years ago
3 0
14 = 64 - 5z
(Move 5z to left by adding it's opposite to both sides)
5z + 14 = 64 - 5z + 5z
(eliminate opposites)
5z + 14 = 64
(Then move 14 to right side by adding it's opposite to both sides)
5z + 14 - 14 = 64 - 14
(Eliminate opposites)
5z = 64 - 14
(subtract numbers)
5z = 50
(divide both sides by 5)
5/5 z = 50/5
z = 10
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If y varies inversely as x. Using the coordinates (5, 3) and (x, 2.5), find the missing value x.
Rzqust [24]

Answer:

(6, 2.5 )

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k substitute the coordinate point (5, 3 ) into the equation, that is

3 = \frac{k}{5} ( multiply both sides by 5 )

15 = k

y = \frac{15}{x} ← equation of variation

Using (x, 2.5 ) with y = 2.5 , then

2.5 = \frac{15}{x} ( multiply both sides by x )

2.5x = 15 ( divide both sides by 2.5 )

x = 6

Thus point is (6, 2.5 )

8 0
2 years ago
Direction: Read and understand each problem and solve. Show your solution if necessary.
Elan Coil [88]

[1] 0.25, 0.25%, or \frac{1}{4}

     We will divide the number of wanted outcomes by possible outcomes.

\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{5}{3+5+12} =\frac{5}{20} =\frac{1}{4}

[2]

     We will follow the same steps as problem 1.

MTHMTCS = 7 consonants

AEAI = 4  vowels

MTHEMTICS = 9 letters that are not A's

MATHEMATICS = total of 11 letters

(a)

\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{7}{11}

(b)

\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{4}{11}

(c)

\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{9}{11}

[3] 0.877

     If the probability that a television is defective is 0.123, then the probability that a television is not defective is:

1 - 0.123 = 0.877

4 0
2 years ago
February 12, 2009 marked the 200th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization,
timurjin [86]

Answer:

Z_{H0} = 2.83

Reject H₀

Step-by-step explanation:

Hello!

The objective of the poll is to compare the proportions of people who believe in the theory of evolution. For this, the investigator took a sample of 1018 and divided it into two groups using a criteria their level in college education.

Group 1 (people with some college education)

n₁= 325

x₁= 133

sample proportion ^ρ₁=x₁/n₁ = 133/325 = 0.409

Group 2 (college graduates)

n₂= 228

x₂= 121

sample proportion ^ρ₂=x₂/n₂ = 121/228 = 0.531

pooled proportion ^ρ= 0.459

The statistic test that corresponds to test if the proportions are equal or different is the difference of population proportions and you have to use the normal approximation for the proportions to calculate it.

The hypothesis is:

H₀: ρ₂=ρ₁

H₁: ρ₂≠ρ₁

α: 0.10

Z=<u>    (^ρ₂ - ^ρ₁) - (ρ₂ - ρ₁)   </u> ≈ N (0;1)

     √(^ρ(1 - ^ρ)*(1/n₂+1/n₁)

The critical region is  two-tailed, so you have a lower critrical value and an upper critical value:

Z_{\alpha /2} = Z_{0.05} = -1.64

Z_{1-\alpha /2} = Z_{0.95} = 1.64

If Z_{H0} ≤ -1.64 or if Z_{H0} ≥ 1.64 you reject the null hypothesis.

If -1.64 < Z_{H0} < 1.64, the you do not reject the null hypothesis.

Z=<u>    (^ρ₂ - ^ρ₁) - (ρ₂ - ρ₁)   </u> = <u>          (0.531 - 0.409) - 0         </u> = 2.83

     √(^ρ(1 - ^ρ)*(1/n₂+1/n₁)      √(0.459(1 - 0.459)*(1/228+1/325)  

Z_{H0} = 2.83

Since the calculated Z value is greater than the upper critical value, the decision is to reject the null hypothesis. In other words, there is significative enough evidence to say that there is a difference between the population proportion of people who believe in the evolution theory and graduated from college and the population proportion of people who believe in the evolution theory and have some college education.

I hope it helps!

5 0
3 years ago
Find a base length of a shipping box in the shape of a triangle prism.The shipping box has a volume of 276 cubic feet,a height o
Gala2k [10]
The base length will be found as follows:
volume of the triangular prism is given by:
V=1/2ab×h
where:
10 ft
b=6.9 ft
thus the height will be found as follows:
276=1/2×10×6.9×h
solving for h we get:
h=276/34.5
h=8 ft
3 0
2 years ago
Bria took a test with 120 questions. She made an 85%. How many questions did Bria get wrong on the test?
Radda [10]

Answer:

you'd get eighteen questions wrong

5 0
1 year ago
Read 2 more answers
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