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Vikki [24]
3 years ago
8

Perpendicular to y=4x-7; contains the point (4,3)

Mathematics
1 answer:
san4es73 [151]3 years ago
5 0
Okay, so a general rule for finding perpendicular lines in the form of y = mx + b is y = (-1/m) + b.
First, let's ignore b (-7) because we're going to find that later.
A perpendicular line to y = 4x + b is y = -1/4x + b.
Alright, so now let's plug in the values. They are in the form of (x,y), so let's plug them in accordingly.

3 = -1/4(4) + b
3 = -1 + b
b = 4
y = -1/4x + 4
So a line perpendicular to y = 4x - 7 is y = -1/4x + 4.
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Todd plans to swim 18 laps in the pool. Each lap is 50 yards. So far Todd has swam 738 yards. what percentage of the total had T
oee [108]
1 lap = 50 yards
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Todd has swam 738 yards
Percentage completed = 738/900 x 100 = 82%

Answer: 82%
7 0
3 years ago
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Factor the sum of the term as a product of the GCF and a sum. GCF greatest common factor. 28+35
TiliK225 [7]
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3 0
3 years ago
A study was conducted to determine whether an expectant mother's cigarette smoking has any effect on the bone mineral content of
svp [43]

Using Hypothesis testing,

a) Two samples are independent.

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ : an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Null hypothesis is accepted.

so, an expectant mother's cigarette smoking has no effect on the bone mineral.

We have given that,

A study which is conducted for check an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

For new-born whose mother's cigarette smoking

sample size , n₁= 77

X-bar, x₁-bar = 0.098 g/cm

standard deviations, s₁ = 0.026 g/cm

For new-born whose mother did not cigarette smoking

sample size , n₂ = 161

standard deviations, s₂ = 0.025 g/cm.

mean (X-bar) , x₂-bar = 0.095 g/cm

a) the two samples are independent since they are different types of mothers, smoking mothers and non smoking mothers

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ: an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Test statistic:

t = (x₁-bar - x₂-bar )/S (√1/n₁+1/n₂)

where , S = √(s₁²(n₁ - 1) + s₂²(n₂ -1))/n₁+n₂ - 2

S = √((0.026)²(76) +(0.025 )²(160))/236

= 0.0253

then, t = (0.098 - 0.095 )/0.0253(√1/77 +1/161 )

=> t = 0.859

Using the critacal table critical t is

Critical t = ±1.970065

Degrees of freedom =236.0000

P-Value=0.3935 which is greater than α(0.05),

So , we accept H₀

Thus, an expectant mother's cigarette smoking has not effect on the bone mineral content of her otherwise healthy child.

To learn more about Hypothesis testing, refer:

brainly.com/question/4232174

#SPJ4

8 0
1 year ago
Round to the nearest...
skelet666 [1.2K]

15. 0.3478 becomes 0.3

16. 0.7553 becomes 0.76

17. 3.968 becomes 4

18. 164.9 becomes 160

8 0
3 years ago
Which of the following powers is responsible for establishing the United Nations?
n200080 [17]

Answer:

B Allied Powers

Step-by-step explanation:

They worked with the US during WWI and WWII

4 0
3 years ago
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