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4 years ago

The Pyramid of Khafre measured 143.5

Mathematics

1 answer:

nadezda [96]4 years ago

6 0

Answer:

what are the answers that are given

Step-by-step explanation:

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An angle measures 88° more than the measure of a complementary angle. what is the measure of each angle?

aleksandrvk [35]

Let one angle be x
Let second angle be 88+x
Sum of two complementary angles = 90°
x+ 88+ x = 90°
2x + 88 = 90
2x = 90 - 88 = 2
x = 2/2 = 1

First angle = x = 1°
Second angle = 88 + x = 88+1 = 89°
I hope it is helpful:D

3 0

3 years ago

City health officials will conduct a two-sample t-test for a difference in means to investigate whether

Anvisha [2.4K]

Answer:

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that the first sample size 'n₁' = 22

Given that the mean of the first sample x₁⁻ = 120

Given that the standard deviation of the sample (s₁) = 20

Given that the mean of the second sample x₂⁻ = 100

Given that the standard deviation of the second sample (S₂) = 30

Step(ii):-

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

where

$S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2} S_{2} ^{2} }{n_{1} +n_{2}-2 }$

$S^{2} = \frac{22( 20)^{2}+ 15(30) ^{2} }{22 +15-2 }$

S² = 637.1428

S = √637.1428 = 25.24168

The standard deviation of the sample 'S' = 25.24168

Step(iii):-

Null Hypothesis:H₀:

There is no difference between the means

Alternative Hypothesis:H₁:

There is a difference between the means

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$t = \frac{ 120 -100 }{\sqrt{637.14 (\frac{1}{22 }+\frac{1}{15 } ) } }$

t = 2.366

Degrees of freedom

γ = n₁+n₂ -2 = 22+15-2 = 35

t₀.₀₅ = 2.0301

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

3 0

3 years ago

Read 2 more answers

Do number 1!! Explain!

dsp73

2x1.5 then divide by 3.14

4 0

3 years ago

A car seller buys a car from a manufacturer for $8,000. He increases the cost by 6 percent. What is the markup value?

kakasveta [241]

Hello,

do you know what 6% equals in decimal?

With such information, all you must do is multiply the decimal value of 6% to 8000, then add that value to 8000 for the markup value.

4 0

4 years ago

gary's unpaid credit card balance is $2543.32. His APR is 17.4% and he made one new transaction for $320. what is his new balanc

zaharov [31]

Given that Gary's unpaid credit card balance is $2543.32. His APR is 17.4% and he made one new transaction for $320. so his new balance can be solved by just adding the unpaid credit card balance and the new transaction he made.
new balance = $ 2543.32 + $ 320
new balance = $ 2863.32

8 0

3 years ago

Read 2 more answers