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Anastaziya [24]
3 years ago
14

Solve for x. 4- (2x + 4)=5 A. x = -10 B. x = 6 C. x = 3/2 D. x = -5/2

Mathematics
2 answers:
horsena [70]3 years ago
4 0

Answer:

x = (-5/2)

Step-by-step explanation:

4 - (2x + 4) = 5

-4 from both sides

- (2x + 4) = 1

divide both sides by -1

2x + 4 = -1

-4 from both sides

2x = -5

divide both sides by 2

x = (-5/2)

Archy [21]3 years ago
4 0

Answer:

D. x = -5⁄2

Step-by-step explanation:

4 - (2x + 4) = 5

4 - 2x - 4 = 5

-2x = 5

-2½ = x

* -2½ = -5⁄2

I am joyous to assist you anytime.

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irinina [24]
It is the first answer
5 0
3 years ago
The Genetics & IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceivi
Reika [66]

Answer: The test statistic needed to test this claim= 10.92

Step-by-step explanation:

We know that the probability of giving birth to a boy : p= 0.5

i..e The population proportion of giving birth to a boy =  0.5

As per given , we have

Null hypothesis : H_0: p\leq0.5

Alternative hypothesis :  H_a: p>0.5

Since H_a is right-tailed , so the hypothesis test is a right-tailed z-test.

Also, it is given that , the sample size : n= 291

Sample proportion: \hat{p}=\dfrac{239}{291}\approx0.82

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} , where n is sample size ,  \hat{p} is sample proportion and p is the population proportion.

\Rightarrow\ z=\dfrac{0.82-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{291}}}\approx10.92

i.e. the test statistic needed to test this claim= 10.92

Critical value ( one-tailed) for  0.01 significance level = z_{0.01}=2.326

Decision : Since Test statistic value (10.92)> Critical value (2.326), so we reject the null hypothesis .

[When test statistic value is greater than the critical value , then we reject the null hypothesis.]

Thus , we concluded that we have enough evidence at 0.01 significance level to support the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy.

7 0
3 years ago
PLEASE SOLVE THIS FOR ME ITS DUE TOMORROW <br><br>Find an expression for the missing dimension.
denis-greek [22]

Answer:

The missing length is 2x+5

Step-by-step explanation:

Given equation of volume of cuboid is V= 2x^{3} +17x^{2} +46x+40

Figure show that

Length of cuboid is ?

Width of cuboid is (x+4)

Height of cuboid is (x+2)

The volume of cuboid is given by

V=Length x Width x Height

Let Length be (bx+a)

The volume of cuboid will be

V=(bx+a)(x+4)(x+2)

V=(bx+a)[x^{2}+4x+2x+8 ]

V=bx[x^{2}+6x+8]+a[x^{2}+6x+8]

V=[bx^{3}+6bx^{2}+8bx]+[ax^{2}+6ax+8a]

V=[bx^{3}+(6b+a)x^{2}+(8b+6a)x+8a]

On comparing coefficient with given equation of volume

We get,

b=2 and 8a=40

Therefore, the value of a is 5 and b is 2

Thus, The missing length is bx+a=2x+5

7 0
3 years ago
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4 0
3 years ago
A square sandbox has an area of 75 square feet. Estimate the length of one of the sides of the sandbox to the nearest tenth.
andrey2020 [161]

Answer: I belive the answer would be 18.8

Step-by-step explanation: 75/4=  18.75 rounded to the nearest tenth would be 18.8

8 0
3 years ago
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